Word Problem

Problem 8901

Joe uses stick-on square carpet tiles to cover his 4 m×2 m4 \mathrm{~m} \times 2 \mathrm{~m} bathroom. If each tile is 10 cm on a side, how many tiles does he need?

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Problem 8902

Enter the values to complete the box plot of dataset 23,24,25,26,27,2823,24,25,26,27,28. (2 points)

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Problem 8903

7 mongeor of icefice Problems of hobryeon %\% scalled colby a. The value of xx is 6 , what is the value of yy ? b. What is the scale factor?
2. Figure ff is a scaled copy of figuree. We know: AB=6CD=3XY=4ZM=a\begin{array}{c} \circ A B=6 \\ \circ C D=3 \\ \cdot X Y=4 \\ \cdot Z M=a \end{array}

Select all true equations. A. 63=4a\frac{6}{3}=\frac{4}{a} B. 64=3a\frac{6}{4}=\frac{3}{a} C. 34=6a\frac{3}{4}=\frac{6}{a} D. 63=a4\frac{6}{3}=\frac{a}{4} E. 64=a3\frac{6}{4}=\frac{a}{3} F34=a6F \cdot \frac{3}{4}=\frac{a}{6}

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Problem 8904

What is the product? (3a2b7)(5a3b8)\left(3 a^{2} b^{7}\right)\left(5 a^{3} b^{8}\right) 8a5b158 a^{5} b^{15} 8a6b568 a^{6} b^{56} 15a5b1515 a^{5} b^{15} 15a5b5615 a^{5} b^{56}

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Problem 8905

A test is made of H0:μ=53H_{0}: \mu=53 versus H1:μ<53H_{1}: \mu<53. A sample of size 37 is drawn. The sample mean and standard deviation are xˉ=44\bar{x}=44 and s=11s=11.
Part 1 of 3 (a) Compute the value of the test statistic tt. Round your answer to two decimal places.
The value of the test statistic is t=4.98t=-4.98. \square
Part: 1/31 / 3
Part 2 of 3 (b) Is H0H_{0} rejected at the α=0.05\alpha=0.05 level?
We (Choose one) \boldsymbol{\nabla} the null hypothesis.

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Problem 8906

The order is for Cefazolin 450mg IV once daily. Supply and directions: Reconstitution with 10 mL of sterile water for 1 g/10 mL1 \mathrm{~g} / 10 \mathrm{~mL} of solution a) The nurse will reconstitute with \qquad mL(s)\mathrm{mL}(\mathrm{s}) of \qquad solution b) The final concentration is \qquad (include units of measure) c) The volume the nurse will administer is \qquad mL  Blank # 1 Blank # 2 Blank # 3 Blank # 4\begin{array}{l} \text { Blank \# } 1 \\ \text { Blank \# } 2 \\ \text { Blank \# } 3 \\ \text { Blank \# } 4 \end{array}

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Problem 8907

The average salary for American college graduates is $48,400\$ 48,400. You suspect that the average is more for graduates from your college. The 53 randomly selected graduates from your college had an average salary of $51,937\$ 51,937 and a standard deviation of $9,140\$ 9,140. What can be concluded at the α=0.05\alpha=0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: H0H_{0} : ? 웅 Select an answer 0 \square H1H_{1} : ? . 0 Select an answer \square c. The test statistic ? 0={ }^{0}= \square (please show your answer to 4 decimal places.) d. The pp-value == \square (Please show your answer to 4 decimal places.) e. The pp-value is \square α\alpha f. Based on this, we should Select an answer the null hypothesis. g. Thus, the final conclusion is that ... The data suggest that the sample mean is not significantly greater than 48,400 at α=0.05\alpha=0.05, so there is statistically insignificant evidence to conclude that the sample mean salary for graduates from your college is greater than 51,937 . The data suggest that the population mean is not significantly greater than 48,400 at α=\alpha= 0.05 , so there is statistically insignificant evidence to conclude that the population mean salary for graduates from your college is greater than 48,400. The data suggest that the populaton mean is significantly greater than 48,400 at α=0.05\alpha=0.05, so there is statistically significant evidence to conclude that the population mean salary for graduates from your college is greater than 48,400 . h. Interpret the pp-value in the context of the study. There is a 0.34187113%0.34187113 \% chance of a Type I error. If the population mean salary for graduates from your college is $48,400\$ 48,400 and if another 53 graduates from your college are surveyed then there would be a 0.34187113%0.34187113 \% chance that the population mean salary for graduates from your college would be greater than $48,400\$ 48,400. If the population mean salary for graduates from your college is $48,400\$ 48,400 and if another 53 graduates from your college are surveyed then there would be a 0.34187113%0.34187113 \% chance that the sample mean for these 53 graduates from your college surveyed would be greater than \51,937.Thereisa51,937. There is a 0.34187113 \%chancethatthepopulationmeansalaryforgraduatesfromyourcollegeisgreaterthan chance that the population mean salary for graduates from your college is greater than \48,400 48,400.

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Problem 8908

```latex In a triangle, there is an exterior angle at vertex y+45 y+45^\circ . The interior angles of the triangle are y y , x x , and x21 x-21^\circ . The angle x21 x-21^\circ is adjacent to the exterior angle y+45 y+45^\circ . Find the measures of angles x x and y y . ```

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Problem 8909

2. The Kaleido Glass Shop began business on October 1, 2020. Its first fiscal year ended on September 30, 2021. On January 1, 2021, $720\$ 720 was paid for a truck licence for the 2021 calendar year. Complete the following Questions below. a) Give the accounting entry to record the above transaction. (use t-accounts to show how the 2 accounts will be affected) b) Calculate the value for the prepaid licence on September 30, 2021. c) Calculate the truck licence expense for the fiscal period ended September 30 , 2021.

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Problem 8910

Español
Monique and Tara each make an Ice-cream sundae. Monique gets 2 scoops of Cherry Ice-cream and 1 scoop of Mint Chocolate Chunk Ice-cream for a total of 84 g of fat. Tara has 1 scoop of Cherry and 2 scoops of Mint Chocolate Chunk for a total of 90 g of fat. How many grams of fat does 1 scoop of each type of ice cream have?
Part 1 of 2
Cherry has \square g of fat.
Part 2 of 2
Mint Chocolate Chunk has \square g of fat.

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Problem 8911

Two points in a plane have polar coordinates (2.30 m,40.0)\left(2.30 \mathrm{~m}, 40.0^{\circ}\right) and (3.70 m,140.0)\left(3.70 \mathrm{~m}, 140.0^{\circ}\right). (a) Determine the Cartesian coordinates of these points.  ( 2.30 m,40.0 ) x= (No Response) my= (No Response) m ( 3.70 m,140.0 ) x= (No Response) my= (No Response) m\begin{array}{l} \text { ( } 2.30 \mathrm{~m}, 40.0^{\circ} \text { ) } \\ x=\text { (No Response) } \mathrm{m} \\ y=\text { (No Response) } \mathrm{m} \\ \text { ( } 3.70 \mathrm{~m}, 140.0^{\circ} \text { ) } \\ x=\text { (No Response) } \mathrm{m} \\ y=\text { (No Response) } \mathrm{m} \end{array} (b) Determine the distance between them. (No Response) m Need Help? Read It Watch it

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Problem 8912

the following data set.
The type of homes recently sold by a realtor: single-family, duplex, etc. Would you be more interested in looking at the mean, median, or mode? State your reasoning.
Answer
First, select the correct measure of center and then select the justification for your choice.
Correct measure of center mean median mode
Justification the data have measurable values with no outliers the data have no measurable values the data have measurable values with outliers

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Problem 8913

What value of nn makes the equation true? (2x9y11)(4x2y10)=8x11y20\left(2 x^{9} y^{11}\right)\left(4 x^{2} y^{10}\right)=8 x^{11} y^{20} 1 2 10 30

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Problem 8914

Which equation can be used to represent "six added to twice the sum of a number and four is equal to one-half of the difference of three and the number"? 6+2(x+4)=12(x3)6+2(x+4)=12(3x)(6+2)(x+4)=12(3x)\begin{array}{l} 6+2(x+4)=\frac{1}{2}(x-3) \\ 6+2(x+4)=\frac{1}{2}(3-x) \\ (6+2)(x+4)=\frac{1}{2}(3-x) \end{array}

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Problem 8915

Question 1 (1 point) An object falling near the earth's surface has a constant acceleration of 9.8 m/s29.8 \mathrm{~m} / \mathrm{s}^{\wedge} 2. This means that the a object falls 9.8 m during the first second of its motion b object falls 9.8 m during each second of its motion c speed of the object increases by 9.8 m/s9.8 \mathrm{~m} / \mathrm{s} during each second of its motion d acceleration of the object increases by 9.8 m/s29.8 \mathrm{~m} / \mathrm{s}^{\wedge} 2 during each second of its motion

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Problem 8916

11 Während ein Wetterballon in die Atmosphäre aufsteigt, funkt er Daten zur Erde. In der immer dünner werdenden Luft nimmt das Volumen des Ballons zu, bis er in 30 bis 35 km Höhe platzt. a) Berechne das Gewicht der Latexhülle eines Wetterballons, der am Boden einen Durchmesser von 1,70 m1,70 \mathrm{~m} hat. 1dm21 \mathrm{dm}^{2} wiegt dort etwa 1,1g. b) Das Volumen des Ballons wächst bis auf das 500-Fache an. Welche Oberfläche hat der Wetterballon dann?

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Problem 8917

HW 14 Score: 0/9 Answered: 0/9
Question 1
You intend to conduct an ANOVA with 5 groups in which each group will have the same number of subjects: n=22n=22. (This is referred to as a "balanced" single-factor ANOVA.)
What are the degrees of freedom for the numerator? d.f. (treatment) = \square What are the degrees of freedom for the denominator? d.f. (error) = \square Submit Question

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Problem 8918

An ice cube is freezing in such a way that the side length ss, in inches, is s(t)=12t+4s(t)=\frac{1}{2} t+4, where tt is in hours. The surface area of the ice cube is the function A(s)=6s2A(s)=6 s^{2}. Part A: Write an equation that gives the volume at tt hours after freezing begins. ( 2 points) Part B: Find the surface area as a function of time, using composition, and determine its range. (4 points) Part C: After how many hours will the surface area equal 294 square inches? Show all necessary calculations, and check for extraneous solutions. (4 points)

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Problem 8919

The 'pitch' of a building's roof is the slope of the roof. What is the pitch of the roof if the vertical rise is 15 feet and the run is 25 feet ? \square Question Help: Written Example Message instructor Post to forum Submit Question

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Problem 8920

The vertices of triangle PQRP Q R are P(6,4),Q(6,2)P(-6,-4), Q(6,2), and R(2,8)R(-2,8). Line segment PQP Q can be defined by the equation: x2y2=0x-2 y-2=0 x3y2=0x-3 y-2=0 y=12x+1y=\frac{1}{2} x+1 y=13x2y=\frac{1}{3} x-2

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Problem 8921

Answer two questions about Equations AA and BB : A. 5x2+x=x45 x-2+x=x-4 B. 5x+x=x45 x+x=x-4 1) How can we get Equation BB from Equation AA ?
Choose 1 answer: (A) Add/subtract a quantity to/from only one side
B Add/subtract the same quantity to/from both sides C Rewrite one side (or both) using the distributive property (D) Rewrite one side (or both) by combining like terms

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Problem 8922

The time required to assemble a single Play Station 3 is approximately normally distributed with μ=15.53\mu=15.53 minutes and σ=1.6\sigma=1.6 minutes. A random sample of 15 Play Station 3 assembly times is selected.
Find the minimum assembly time of the upper 10\% of average assembly times. \square

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Problem 8923

Suppose that the amount of time that students spend studying in the library in one sitting is normally distributed with mean 44 minutes and standard deviation 20 minutes. A researcher observed 6 students who entered the library to study. Round all answers to 4 decimal places where possible. a. What is the distribution of XX ? XN(X \sim N( \square \square ) b. What is the distribution of xˉ\bar{x} ? xˉN(\bar{x} \sim N( \square \square ) c. What is the distribution of \square xx ? \square x N(x \sim \mathrm{~N}( \square , \square ) d. If one randomly selected student is timed, find the probability that this student's time will be between 33 and 44 minutes. \square e. For the 6 students, find the probability that their average time studying is between 33 and 44 minutes. \square f. Find the probability that the randomly selected 6 students will have a total study time less than 312 minutes. \square g. For part e) and f), is the assumption of normal necessary? Yes No h. The top 15%15 \% of the total study time for groups of 6 students will be given a sticker that says "Great dedication". What is the least total time that a group can study and still receive a sticker? \square minutes

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Problem 8924

Funktionenscharen: Sachaufgabe Der Damm Gegeben ist die Funktionenschar fa mit fa(x)=3ax2x3144;a>0f_{a}(x)=\frac{3 a x^{2}-x^{3}}{144} ; a>0
Für bestimmte Werte von a beschreiben die Graphen von faf_{a} zwischen den Nullstellen von faf_{a} den Querschnitt eines Deiches. a Ermittle den Wert von a so, dass der Damm 15 m breit ist und hebe anschließend den entsprechenden Graphen in der rechten Abbildung farbig hervor. Beschrifte ihn korrekt. b Zeige, dass für a = 4 die Böschung auf der rechten Seite mit 4545^{\circ} auf den horizontalen Boden trifft. c Ermittle den Wert von a so, dass der Deich an seiner höchsten Stelle 6 Meter hoch ist. [Kontrolle H (2a; 136a3\frac{1}{36} \mathrm{a}^{3} )] d Wähle zwei verschiedene Werte für a und zeige, dass die Hochpunkte des entsprechenden Graphen von faf_{a} auf dem Graphen GgG_{g} von gg mit g(x)=1288x3g(x)=\frac{1}{288} x^{3} liegen . e Bestimme die Stelle auf der linken Böschungsseite des Deiches, an der der Anstieg maximal wird (in Abhängigkeit von a).
Gib an, für welches a dieser maximale Anstieg 3030^{\circ} beträgt.

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Problem 8925

Two pools are being filled with water. To start, the first pool contains 784 liters of water and the second pool is empty. Water is being added to the first pool at a rate of 18.25 liters per minute. Water is being added to the second pool at a rate of 42.75 liters per minute.
After how many minutes will the two pools have the same amount of water? \square minutes
How much water will be in each pool when they have the same amount? \square titers

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Problem 8926

Solve and graph the following inequality. 14x25 and 7x4>101-4 x \geq 25 \text { and } 7 x-4>10
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is {xx\{x|x\rangle \square 3 B. The solution set is {x\{x \mid \square x<\leq x< \square 3 C. The solution set is {xx\{x \mid x \geq \square 3 D. The solution set is {x\{x \mid \square <x<x \leq \square E. The solution set is \varnothing.
Graph the solution. Choose the correct answer below. A. B. c. D. E. O F.

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Problem 8927

In the market for baseball bats the equilibrium price is $20\$ 20 and at this price 125 bats are sold. If the price were $5\$ 5 more then firms would want to sell 140 bats but customers would only want to buy 110 bats. If the government imposed a price ceiling of $25\$ 25 for bats, how many bats would be sold? (A) 125 . (B) 140 . (C) 15 . (D) not enough information to answer this question.

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Problem 8928

We poll 450 people and find that 40%40 \% favor Candidate S. In order to estimate with 90%90 \% confidence the percent of ALL voters would vote for Candidate S, we should use: 2-SampZInt 2-PropZInt TInterval 1-PropZInt 2-SampTInt ZInterval

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Problem 8929

We wish to estimate what percent of adult residents in a certain county are parents. Out of 600 adult residents sampled, 468 had kids. Based on this, construct a 90%90 \% confidence interval for the proportion p of adult residents who are parents in this county:
Express your answer in tri-inequality form. Give your answers as decimals, to three places. \square <p<<\mathrm{p}< \square Express the same answer using the point estimate and margin of error. Give your answers as decimals, to three places. p=p= \square ±\pm \square

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Problem 8930

To solve radical equations, first isolate one of the radical terms if necessary. Is the radical term isolated? Yes No
What is the next step? Choose the correct answer below. A. Factor the radicand. B. Take the square root of the left side. C. Rewrite the equation using the principle of powers. D. Isolate xx on the left side of the equation.
Use the principle of powers. The principle of powers states that for any natural number nn, if ana n equation a=ba=b is true, then \square

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Problem 8931

Answer the following True or False: A researcher hypothesizes that the average student spends less than 20%20 \% of their total study time reading the textbook. The appropriate hypothesis test is a left tailed test for a population mean. false true

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Problem 8932

The average American gets a haircut every 43 days. Is the average smaller for college students? The data below shows the results of a survey of 13 college students asking them how many days elapse between haircuts. Assume that the distribution of the population is normal. 48,35,36,33,41,49,47,49,29,46,38,42,4048,35,36,33,41,49,47,49,29,46,38,42,40
What can be concluded at the the α=0.10\alpha=0.10 level of significance level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: H0H_{0} : ? 0 Select an answer H1H_{1} : ? \square Select an answer \square c. The test statistic ? \square == \square (please show your answer to 3 decimal places.) d. The pp-value == \square (Please show your answer to 3 decimal places.) e. The pp-value is ? \square α\alpha f. Based on this, we should Select an answer \square 0 숭 \square : g. Thus, the final conclusion is that ... The data suggest the populaton mean is significantly lower than 43 at α=0.10\alpha=0.10, so there is sufficient evidence to conclude that the population mean number of days between haircuts for college students is lower than 43. The data suggest the population mean number of days between haircuts for college students is not significantly lower than 43 at α=0.10\alpha=0.10, so there is insufficient evidence to conclude that the population mean number of days between haircuts for college students is lower than 43. The data suggest the population mean is not significantly lower than 43 at α=0.10\alpha=0.10, so there is sufficient evidence to conclude that the population mean number of days between haircuts for college students is equal to 43.

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Problem 8933

(ج) مادة مشعة تضمحل حسب النموذج الأسي e = ) فإذا كانت فترة نصف الحياة لـ 1780 سنة، بَعْدَ كم سنة يتبقى ثلث المادة الأصلية ؟

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Problem 8934

The Warbler House Inn offers two plans for wedding parties. Under plan A, the inn charges $40\$ 40 for each person in attendance. Under plan B, the inn charges $1600\$ 1600 plus $25\$ 25 for each person in excess of the first 30 who attend For what size parties will plan B cost less? (Assume that more than 30 guests will attend.)
Let pp repressents the number of guests. Select the correct choice below and fill in the answer box to complete your choice. (Round to the nearest whole number.) A. The solution set is {pp\{p \mid p ? \square 3. B. The solution set is {pp\{p \mid p \geq \square 3. C. The solution set is {pp\{p \mid p \leqslant \square 3 D. The solution set is {pp<\{p \mid p< \square 3

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Problem 8935

Emma just moved into a new apartment and finds out she has two different options for internet. - Company A charges $220\$ 220 per month with a non-refundable $100\$ 100 installation fee. - Company B offers a comparable internet package and charges $150\$ 150 per month with a non-refundable $200\$ 200 installation fee. a) Write an equation for the total cost to get the internet from Company AA for tt months. y=y= b) Which sentence below, BEST describes the meaning of the slope of the equation above.
Select an answer c) Which line on the graph below represents the cost to rent from Company A for tt months?
The \square Select an answer \checkmark line represents the cost to get the internet from Company A for tt months. d) If Emma is planning on staying in the apartment for one semester of school ( 4 months), which internet plan should she choose. Which answer below best explains using a comparison? Select an answer e) If Emma is unsure how many months she needs to have internet, help her know under what conditions she should choose each of the plans. Company AA is always best, because it started out cheaper. Company BB is always best, becasue it costs less per month. In order to make a decision, Emma should look at the break even point! Company AA is best for the first month, and Company BB is best after that. Question Help: Message instructor
Post to forum

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Problem 8936

The lengths of pregnandes of humans are normally distributed with a mean of 268 days and a standard deviation of 15 days. Find the probability of a pregnancy lasting more than 300 days A) 0.3189 B) 0.2375 C) 0.9834 D) 0.0166

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Problem 8937

Convert the improper fraction 193\frac{19}{3} to a mixed number. Simplify the fractional portion as much as possible. 193=\frac{19}{3}= whole number - \square \square - numerator - denominator Submit crorms or Search

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Problem 8938

Exercice 4: Un paquet de masse m=10 kgm=10 \mathrm{~kg}, supposé comme un point matériel, glisse sans vitesse initiale à partir du point AA sur un plan incliné de hauteur OA=h=4mO A=h=4 m et de base OB=hO B=h (voir figure ci-contre). Les frottements entre les surfaces en contact sont caractérisés par un coefficient cinétique μc=0.5\mu_{c}=0.5. On prend g=9.81 m s2g=9.81 \mathrm{~m} \mathrm{~s}^{-2}.
1. Représenter et écrire les différentes forces agissant sur le paquet ;
2. Ecrire le principe fondamental de la dynamique ;
3. Projeter cette équation vectorielle seion les deux axes XX et YY (qu'il faut définir), pour trouvel les deux équations scalaires qui régissent le mouvement du paquet;
4. En déduire les expressions de la force de frottement et de la force normale (réaction) en fonction de m,g,μcm, g, \mu_{c} et α\alpha;
5. Trouver l'expression de l'accélération a du paquet. Quelle est la nature de son mouvement? En déduire celle de sa vitesse v(t)v(t);
6. Donner l'équation horaire x(t)x(t) du pàquet ;
7. Quel est le temps nécessaire au paquet pour qu'il atteigne le point BB ?

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Problem 8939

Penny had $117\$ 117, which is 9 times as much money as Kari had. How much money did Kari have?
Select the correct solution method below, where xx represents Kari's money. A. 9x=1179 x=117. Divide both sides by 9 . Kari had $13\$ 13. B. x9=117x-9=117. Add 9 to both sides. Kari had $126\$ 126. C. x+9=117x+9=117. Subtract 9 from both sides. Kari had $108\$ 108. D. x9=117\frac{x}{9}=117. Multiply both sides by 9. Kari had $1053\$ 1053.

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Problem 8940

Trigonometric Functions / The Unit Circle Given the standard position angle θ=555\theta=555^{\circ}, state the measure of the reference angle. Your answer must be exact. Use Pi for π\pi.
How Did I Do? Try Another

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Problem 8941

Question 1 (2 points) Use the Unit Circle to match the following cosine functions to their exact value.
1. 1
2. 22-\frac{\sqrt{2}}{2} cos(90)\cos \left(90^{\circ}\right) cos(300)\cos \left(300^{\circ}\right) cos(390)\cos \left(390^{\circ}\right) cos(120)\cos \left(-120^{\circ}\right) cos(150)\cos \left(150^{\circ}\right)
3. 22\frac{\sqrt{2}}{2}
4. -1
5. 12\frac{1}{2}
6. 32-\frac{\sqrt{3}}{2}
7. 32\frac{\sqrt{3}}{2}
8. 0
9. 12-\frac{1}{2}

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Problem 8942

homework4.8: Problem 6 (1 point)
Find parametric equations for the tangent line at t=3t=3 for the motion of a particle given by x(t)=8t2+7,y(t)=1t3x(t)=8 t^{2}+7, y(t)=1 t^{3}. For the line, x(t)=y(t)=\begin{array}{l} x(t)=\square \\ y(t)=\square \end{array} (Note that because the correctness of a parametrically described line depends on both x(t)x(t) and y(t)y(t), both of your answers may be marked incorrect if there is an error in one of them.)
Note: You can earn partial credit on this problem.

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Problem 8943

3. Verify Mean-Value Theorem applies on the given interval, then find the values of cc in the interval that satisfy the conclusion: (Hint: Evaluate the slope of the secant line at the endpoints of the interval) f(x)=x2xf(x)=x^{2}-x on the interval [3,5][-3,5].

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Problem 8944

56
3. Exkurs: Spurpunkte mit Anwendungen

In diesem Abschnitt werden als exemplarische Anwendungsbeispiele für Geraden Spurpunk, probleme behandell. Die Schnittpunkte einer Geraden mit den Koordinatenebenen bezeichnet man als Spurpunkte der Geraden.
Beispiel: Spurpunkte  Gegeben sei g: x=(242)+r(111)\text { Gegeben sei g: } \vec{x}=\left(\begin{array}{l} 2 \\ 4 \\ 2 \end{array}\right)+r\left(\begin{array}{r} 1 \\ 1 \\ -1 \end{array}\right)
Bestimmen Sie die Spurpunkte der Ge raden und fertigen Sie eine Skizze an.
Lösung: Der Schnittpunkt der Geraden mit der xyx-y Ebene wird als Spurpunkt SxyS_{x y} bezeichnet. Er hat die zz-Koordinate z=0z=0. Die zz-Koordinate des allgemeinen Ge radenpunktes beträgt z=2rz=2-r. Setzen wir diese 0 , so erhalten wir r=2r=2, was auf den Spurpunkt Sxy(460)S_{x y}(4|6| 0) führt. z=0:2r=0r=2x=(242)+2(111)=(460)Sxy(460)\begin{array}{l} z=0: \Leftrightarrow 2-r=0 \quad \Leftrightarrow r=2 \\ \vec{x}=\left(\begin{array}{l} 2 \\ 4 \\ 2 \end{array}\right)+2 \cdot\left(\begin{array}{r} 1 \\ 1 \\ -1 \end{array}\right)=\left(\begin{array}{l} 4 \\ 6 \\ 0 \end{array}\right) \\ S_{x y}(4|6| 0) \end{array}
Analog errechnen wir die weiteren Spurpunkte, indem wir die x-Koordinate bzw. die y-Koordinate des allgemeinen Geradenpunktes null setzen. - Ergebnisse: Syz(024),Sxz(206)S_{y z}(0|2| 4), S_{x z}(-2|0| 6)
Übung 1 Berechnen Sie die Spurpunkte der Geraden g durch A und B. Fertigen Sie eine Skizze an. a) A(1061),B(421)\mathrm{A}(10|6|-1), \mathrm{B}(4|2| 1) b) A(249),B(423)\mathrm{A}(-2|4| 9), \mathrm{B}(4|-2| 3) c) A(411),B(217)\mathrm{A}(4|1| 1), \mathrm{B}(-2|1| 7) d) A(242),B(124)\mathrm{A}(2|4|-2), \mathrm{B}(-1|-2| 4)
Übung 2 Geben Sie die Gleichung einer Geradeng an, die nur zwei Spurpunkte bzw. nur einen Spurpunkt besitzt.
Übung 3 In welchen Punkten durchdringen die Kanten der skizzierten Pyramide den 2 m hohen Wasserspiegel?

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Problem 8945

50\% of the 52 coffee mugs at Danielle's Pancake House are dirty. How many dirty coffee mugs are there at the pancake house? \square coffee mugs

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Problem 8946

How many bonding groups exist in NH3\mathrm{NH}_{3} ? 3 1 2 4

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Problem 8947

Paul is looking at two vacation packages while planning a trip to Cancun, Mexico. In the first vacation package, round-trip airfare costs $602\$ 602, and it costs $196\$ 196 per night to stay at the resort. In the second vacation package, it costs $523\$ 523 per night to stay in the resort and \233forroundtripairfare.Let233 for round-trip airfare. Let xrepresentthenumberofnightsspentattheresort,andlet represent the number of nights spent at the resort, and let y$ represent the total cost of the trip. Which system of equations could be used to find how many nights Paul needs to stay at either resort so that both vacation packages have the same cost?

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Problem 8948

4. NL11Q2 Points: 0/70 / 7
Amanda B. Reckenwyth is exerting a rightward force of 139.0 N in order to drag a 20.3kg20.3-\mathrm{kg} box of books across the floor at a constant speed of 0.40 m/s0.40 \mathrm{~m} / \mathrm{s}. Determine the ... a. ... force of gravity. Fgrav Info Attempts: 0/0 Submit b. ... normal force. Fnorm Info Attempts: 0/00 / 0 Submit c. .- applied force. Fapp Info Attempts: 0/00 Submit d. .. friction force. Ffrict Info Attempts: 0/00 Submit

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Problem 8949

75\% of the tickets sold at an amusement park were discount tickets. If the park sold 800 tickets in all, how many discount tickets did it sell? \square tickets

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Problem 8950

Mrs. Philbrick is packing 374 eggs into cartons. Each carton holds 12 eggs. How many cartons will she need in order to pack all of the eggs?

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Problem 8951

A molecule with two lone pairs and two bonding groups would form what type of molecular geometry? Bent/Angular Linear Tetrahedral Trigonal Planar

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Problem 8952

Khalil's Diner sold 700 milkshakes last week. 64%64 \% of the milkshakes had whipped cream on top. How many milkshakes with whipped cream were sold? \square milkshakes

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Problem 8953

Name: Jerald Bollingsley
1. (Section 6.2) A researcher wonders if final exams raise the stress level of college-freshmen. Under normal circumstances, the average systolic blood pressure of healthy college-freshman is 120 with a standard deviation of 12. During final's week, the researcher tests 30 college-freshmen just before their Statistics Final Exam. She determines their average blood pressure is 123.2 . What should she conclude? Set up and test an appropriate hypothesis test using level of significance α=0.05\alpha=0.05. [Note: The units for systolic blood pressure are " mm HG" (millimeters of mercury].

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Problem 8954

7.) Frank has 13\frac{1}{3} bags birdseed to fill 4 feeders equally. How much will go into each feeder?

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Problem 8955

homework4.8: Problem 10 (1 point)
Find the length traced out along the parametric curve x=cos(52t),y=sin(52t)x=\cos (5-2 t), y=\sin (5-2 t) as tt goes through the range 0t10 \leq t \leq 1. (Be sure you can explain why your answer is reasonable). arc length = \square
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Problem 8956

1. 12 donuts and 3 muffins were laid out on 5 plates in such a way that there are three cakes on each plate. a) Calculate the probability that there is a plate with at least two muffins on it. b) Assume that each muffin is on a different plate. From a randomly chosen plate we move one randomly chosen cake to a different plate. Calculate the probability that after this move, each muffin will still be on a different plate. c) Calculate the expected value of the number of muffins on the second plate.

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Problem 8957

Stuart said it would take 50 minutes to bake a cake. The actual time it takes will be 60 minutes. What was Stuart's percent error?
Lucy said it would take 70 minutes to do her homework. The actual time it takes will be 20 minutes. What was Lucy's percent error?

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Problem 8958

1. 12 donuts and 3 muffins were laid out on 5 plates in such a way that there are three cakes on each plate. a) Calculate the probability that there is a plate with at least two muffins on it. b) Assume that each muffin is on a different plate. From a randomly chosen plate we move one randomly chosen cake to a different plate. Calculate the probability that after this move, each muffin will still be on a different plate. c) Calculate the expected value of the number of muffins on the second plate.

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Problem 8959

Question 6 (2 points) A hypertensive patient has a blood pressure of 140/100. The heart rate is 80 beats per minute. For this scenario, find a sine function of the form, P(t)=asin(bt)+dP(t)=a \sin (b t)+d where PP is the pressure in mm Hg and t is time in seconds. Note that there is no phase shift.
Enter the values of a, b, d as integers or decimals to the nearest tenth. You will need your calculator! a=a= \square A b=b= \square A d=d= \square A

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Problem 8960

Drag the answers to match the inequality and the situation it represents. t < 28 t>28\mathrm{t}>28 t < 29 t>29\mathrm{t}>29
Tony is younger than 29 years old. Tia ran the race in under 28 seconds. The table is heavier than 29 kilograms.
Steve has no more than 28 toys. The temperature is warmer than 28F28^{\circ} \mathrm{F}. 1 2 3 4 5 Finish

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Problem 8961

South High beat North High in basketball, scoring 45\frac{4}{5} of the total points. Rachel scored 14\frac{1}{4} of South High's points. What fraction of the total points did Rachel score?

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Problem 8962

4) Select all that apply.
The coordinates of a triangle are (0,0),(3,3)(0,0),(3,3), and (4,4)(4,-4). Find the coordinates of the translated triangle if it is moved 6 units to the right and 5 units down.

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Problem 8963

Problem\#1. Find the yy-intercept ( 0 , \qquad ) for a line with a slope of m=2m=-2 that goes through (1,3)(-1,3). Write the equation for the line. y=y= \qquad Use spaghetti or a ruler to help you figure out the yy-intercept. Draw the line.

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Problem 8964

1. Each bunch of balloons has 3 red balloons and 3 purple balloons. a. Skip-count by threes to find the total number of balloons. b. Complete the statements.
10 threes is \qquad \qquad ×3=\times 3= \qquad 5 sixes is \qquad . \qquad ×6=\times 6= \qquad c. Use the pictures of balloons to help you complete the statement. 2 groups of 5×5 \times \qquad is the same as 5×5 \times \qquad

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Problem 8965

3. QUILTING In the quilt design, assume that angles and segments that appear to be congruent are congruent. Indicate which triangles are congruent.
4. The vertices of SUV\triangle S U V and SUV\triangle S^{\prime} U^{\prime} V^{\prime} are S(0,4),U(0,0)S(0,4), U(0,0), V(2,2),S(0,4),U(0,0)V(2,2), S^{\prime}(0,-4), U^{\prime}(0,0), and V(2,2)V^{\prime}(-2,-2). Verify that the triangles are congruent and then name the congruence transformation.
5. The vertices of QRT\triangle Q R T and QRT\triangle Q^{\prime} R^{\prime} T^{\prime} are Q(4,3),Q(4,3),R(4,2)Q(-4,3), Q^{\prime}(4,3), R(-4,-2), R(4,2),T(1,2)R^{\prime}(4,-2), T(-1,-2), and T(1,2)T^{\prime}(1,-2). Verify that QRTQRT\triangle Q R T \cong \triangle Q^{\prime} R^{\prime} T^{\prime}. Then name the congruence transformation.

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Problem 8966

Ordering 1 point Put the structures in order urine will pass through toward the blad
1 Ureter
2 Major calyces
3 Renal pelvis
4 Minor calyces

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Problem 8967

gonometric Functions / Trigonometric Ratios and Special Triangles The point P(27,12)P\left(-\frac{2}{7},-\frac{1}{2}\right) is on the terminal arm of some standard position angle θ\theta. Determine the measure of θ\theta in degrees, correct to one decimal. θ=\theta= Number \square degrees
How Did I Do? Ty Another

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Problem 8968

i-Ready Practice: Division Word Problems with Remainders - Practice - Level D
Ms. Shaw's class is studying the life cycle of a fish. Ms. Shaw has 16 fish. Her fish tanks hold 3 fish each. How many fish tanks does Ms. Shaw completely fill? How many fish are left? counters 16÷316 \div 3
10
10 :8\because: 8 C
Ms. Shaw fills \square tanks. She has \square fish left.

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Problem 8969

The central angle of sector UU is 9090^{\circ}. What is the probability that the spinner lands on UU ?
Simplify your answer and write it as a proper fraction.

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Problem 8970

Franz multiplied 21×6821 \times 68 using the US andard Algorithm. He made an rror in multiplying the two numbers. xplain what error Franz made. What ; the product? 168×2168+136194\begin{array}{r} 1 \\ 68 \\ \times 21 \\ \hline 68 \\ +\frac{136}{194} \end{array}

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Problem 8971

For exercises 1-4, answer the questions. Ayana takes a survey of 300 registered voters in her city. She asks if they support increasing the amount of money spent on street repairs.
1. What is the population?
2. What is the parameter?
3. What is the sample?
4. What conclusion can Ayana make from the results of the sample?

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Problem 8972

Practice: Division Word Problems with Remainders - Quiz - Level D Ava volunteers at an animal shelter with 6 cats. She has 15 cat treats. She gives each cat the same number of treats, and she gives as many treats as she can. How many treats does Ava give each cat? How many treats are left?

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Problem 8973

1. 9 donuts and 3 muffins were laid out on 4 plates in such a way that there are three cakes on each plate. a) Calculate the probability that there are three muffins on one of the plates. b) Assume that it's not the case that there are three muffins on one plate. From a randomly chosen plate we move one randomly chosen cake to a different plate. Calculate the probability that after this move, the three muffins will be on the same plate. c) Calculate the expected value of the number of muffins on the first plate.

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Problem 8974

Question 24 The fox population in a certain region has an annual growth rate of 9 percent per year. It is estimated that the population in the year 2020 was 11000. (a) Find a function that models the population tt years after 2020 ( t=0t=0 for 2020).
Your answer is P(t)=P(t)= \square (b) Use the function from part (a) to estimate the fox population in the year 2028.
Your answer is (the answer should be an integer) \square Submit Question

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Problem 8975

i-Ready Practice: Division Word Problems with Remainders - Quiz — Level D
Lilia uses craft sticks to make stars for an art project. She uses 5 craft sticks for each star, and she has 19 craft sticks. Lilia makes as many stars as she can. How many stars does Lilia make? 19÷519 \div 5 counters
10
10 :\because: \because C
Lilia makes \square stars. Sign out

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Problem 8976

Previous 17 Next Post Test: Trigonometric Functions Submit Test Reader Tools Info 17
Select the correct answer.
Jackson is conducting an experiment for his Physics class. He attaches a weight to the bottom of a metal spring. He then pulls the weight down so that it is a distance of 6 inches from its equilibrium position. Jackson then releases the weight and finds that it takes 4 seconds for the spring to complete one oscillation. Which function best models the position of the weight? A. s(t)=6sin(π2t)s(t)=6 \sin \left(\frac{\pi}{2} t\right) B. s(t)=6cos(2πt)s(t)=-6 \cos (2 \pi t) C. s(t)=6cos(π2t)s(t)=-6 \cos \left(\frac{\pi}{2} t\right) D. s(t)=6sin(2πt)s(t)=6 \sin (2 \pi t) Reset Next

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Problem 8977

In his book Outliers, author Malcolm Gladwell argues that more baseball players have birth dates in the months immediately following July 31 , because that was the age cutoff date for non-school baseball leagues. Here is a sample of frequency counts of months of birth dates of American-born professional baseball players starting with January:384, 329, 357, 348, 339, 312,313,505,412,428,401,362312,313,505,412,428,401,362. 만 Using a 0.05 significance level, is there sufficient evidence to warrant rejection of the claim that American-born professional baseball players are born in different months with the same frequency? Do the sample values appear to support the author's claim?
Identify the null and alternative hypotheses. Choose the correct answer below. A. H0\mathrm{H}_{0} : At least one month has a different frequency of American-born professional baseball player birth dates than the other months. H1\mathrm{H}_{1} : The months immediately following July 31 have different frequencies of American-born professional baseball player birth dates than the other months. B. H0\mathrm{H}_{0} : Birth dates of American-born professional baseball players occur with the same frequency in all months of the year. H1\mathrm{H}_{1} : The months immediately following July 31 have different frequencies of American-born professional baseball player birth dates than the other months. C. H0\mathrm{H}_{0} : Birth dates of American-born professional baseball players occur with the same frequency in all months of the year. H1\mathrm{H}_{1} : At least one month has a different frequency of American-born professional baseball player birth dates than the other months. D. H0H_{0} : At least one month has a different frequency of American-born professional baseball player birth dates than the other months. H1\mathrm{H}_{1} : All months have different frequencies of American-born professional baseball player birth dates.

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Problem 8978

In his book Outliers, author Malcolm Gladwell argues that more baseball players have birth dates in the months immediately following July 31 , because that was the age cutoff date for non-school baseball leagues. Here is a sample of frequency counts of months of birth dates of American-born professional baseball players starting with January: 384, 329, 357, 348, 339, 312,313,505,412,428,401,362312,313,505,412,428,401,362. 믄 Using a 0.05 significance level, is there sufficient evidence to warrant rejection of the claim that American-born professional baseball players are born in different months with the same frequency? Do the sample values appear to support the author's claim?
Identify the null and alternative hypotheses. Choose the correct answer below. A. H0\mathrm{H}_{0} : At least one month has a different frequency of American-born professional baseball player birth dates than the other months. H1\mathrm{H}_{1} : The months immediately following July 31 have different frequencies of American-born professional baseball player birth dates than the other months. B. H0\mathrm{H}_{0} : Birth dates of American-born professional baseball players occur with the same frequency in all months of the year. H1H_{1} : The months immediately following July 31 have different frequencies of American-born professional baseball player birth dates than the other months. C. H0\mathrm{H}_{0} : Birth dates of American-born professional baseball players occur with the same frequency in all months of the year. H1\mathrm{H}_{1} : At least one month has a different frequency of American-born professional baseball player birth dates than the other months. D. H0H_{0} : At least one month has a different frequency of American-born professional baseball player birth dates than the other months. H1H_{1} : All months have different frequencies of American-born professional baseball player birth dates. Calculate the test statistic, χ2\chi^{2}. χ2=\chi^{2}=\square (Round to two decimal places as needed.)

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Problem 8979

Astronauts on the space station have 1,320 pounds of food. The next food delivery is five days away. How many pounds of food can astronauts eat per day?

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Problem 8980

Remember that you can use patterns, known facts, or skip counting to find products.
In 1-8, use strategies to find the product.
1. 5×9=5 \times 9= \qquad 2. 8×10=8 \times 10= \qquad
3. 4×10=4 \times 10= \qquad 4. 9×8=9 \times 8= \qquad
5. 6×9=6 \times 9= \qquad 6. 7×3=7 \times 3= \qquad
7. 6×5=6 \times 5= \qquad 8. 4×9=4 \times 9= \qquad

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Problem 8981

A bakery received a shipment of 1,158 apples from a local orchard. It takes 7 apples to make a pie. How many apples will be left over after they make as many pies as possible?

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Problem 8982

Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.
Hugo is going to send some flowers to his wife. Wildgrove Florist charges $2\$ 2 per rose, plus $22\$ 22 for the vase. Nancy's Flowers, in contrast, charges $1\$ 1 per rose and $32\$ 32 for the vase. If Hugo orders the bouquet with a certain number of roses, the cost will be the same with either flower shop. How many roses would there be? What would the total cost be?
If the bouquet contains \square roses, it will cost \ \square$ . Submit

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Problem 8983

\text{Select the correct answer.}
\text{The height of the average wave, in feet, over } t \text{ hours at Sandy Beach is modeled by the function } g. g(t)=4sin(πt6)+5g(t)=4 \sin \left(\frac{\pi t}{6}\right)+5
\text{The height of the average wave, in feet, over } t \text{ hours, at Windy Beach is modeled by function } h, \text{ shown on this graph.}
\text{The waves at which beach take a longer period of time to complete one full wave cycle?} \begin{enumerate} \item \text{This cannot be determined from the given information.} \item \text{Sandy Beach} \item \text{Windy Beach} \item \text{At both beaches it takes the same amount of time to go through one full wave cycle} \end{enumerate} (c) 2024 \text{ Edmentum. All rights reserved.}

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Problem 8984

Exemple a) Donnez une paramétrisation du cône z=x2+y2z=\sqrt{x^{2}+y^{2}}

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Problem 8985

stard (-10) (0) () (4) (16) MODONNIT? Name I CAN ADD + SUBTRACT RATIONAL NUMBERS Use your solutions to eliminate suspects and solve the mystery! The last 3 remaining are the solutions.
1. -1+ (-2)
2. 一:+(一) -16) dio 5. I CAN ADD + SUBTRACT RATIONAL NUMBERS -2+ (-3) 10. 1-2/1 1-2 -2-3 11. -- (-4) 12.-2+1 --(-3) 6. -19-(-2) -3+1 MHODON 쯤 + (-3) SUSPECT VICTIM WEAPON SNOW ANGEL JOE COOL -3 9/10 THE GRINCH -41/12 TOM TURKEY -6 1/12 SANTA CLAUS 17/21 JACK FROST -57/12 -1 23/36 LUCKY LEPRECHAUN -7/15 GROOVY GAL -47/15 PUMPKIN HEAD -13/15 SNOWFLAKE 1 13/30 LEAD PIPE -22/5 BRICK -2 1/2 CANDLESTICK -1928 POISON -1 1/20 WRENCH 2 11/12 72512 09209

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Problem 8986

4,875 people need to take the elevator to the top of a skyscraper. The elevator can hold 19 people at a time. How many trips does the elevator need to make?

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Problem 8987

2 - 6 th grade >> Add, subtract, and multiply decimals: word problems 277
A pillow contains 9.27 ounces of stuffing. How many ounces would 18 of the pillows contain? \square ounces Submit

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Problem 8988

The department store ordered 209 packages of diapers. Each package contained 48 diapers. How many diapers did they have in the shiprient all together?

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Problem 8989

A dog weighed 27 pounds. Then the veterinarian put the dog on a diet and it lost 0.69 pounds. How much does it weigh now? \square pounds Submit

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Problem 8990

A man needed money for college. He borrowed $5,000\$ 5,000 at 16%16 \% simple interest per year. If he paid $200\$ 200 interest, what was the duration of the loan?
The duration of the loan is \square year. (Round to two decimal places as needed.)

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Problem 8991

A popular rock band has scheduled 29 cities for the upcoming tour. Their goal is to sell 350 tickets for each show. How many tickets in all need to be sold for them to meet that goal?

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Problem 8992

There are 366 dimples on a golf ball. How many dimples are on 27 golf balls?

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Problem 8993

A scuba diver finds a treasure chest in the ocean. When she opens it up, she discovers that it is filled with 3,567 gold coins and 1,793 silver coins. How many coins does the chest contain in all?

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Problem 8994

A college town has 32,108 people in July. It has 52,866 in September. How many more people live there in September?

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Problem 8995

14. Pricrice suppose a trilangle wros ditated by a seale factor of s whith cemter of ailations? and the image of that diation was oivated by a scale factor of it with center of slation still at PP, What single tranisformation would havis the same effect on the originad triangle? luselfy your answer with an harge.

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Problem 8996

Watch the video and then solve the problem given below. Click here to watch the video. An athlete whose event is the shot put releases the shot. When the shot is released at an angle of 3535^{\circ}, its path can be modeled by the formula y=0.01x2+0.7x+5.8y=-0.01 x^{2}+0.7 x+5.8 in which x is the shot's horizontal distance, in feet, and y is its height, in feet. This formula is shown by one of the graphs, (a) or (b), in the figure. Use the formula to answer the questions below.
Use the formula to determine the shot's maxijnum distance. The maximum distance is approximately \square feet. (Round to the nearest tenth as needed.)

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Problem 8997

The parallel axis theorem gives the moment of inertia to an axis that is \qquad to the original axis. Select one: a. linear b. non-linear c. perpendicular d. parallel

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Problem 8998

Consider the sequence defined recursively by a1=1,a2=1,an+1=10an1+7ana_{1}=-1, a_{2}=1, a_{n+1}=-10 a_{n-1}+7 a_{n}. We can use matrix diagonalization to find an explicit formula for ana_{n}. a. Find a matrix that satisfies [anan+1]=M[an1an]\left[\begin{array}{c}a_{n} \\ a_{n+1}\end{array}\right]=M\left[\begin{array}{c}a_{n-1} \\ a_{n}\end{array}\right] b. Find the appropriate exponent kk such that [anan+1]=Mk[a1a2]k= 媌 \begin{array}{l} {\left[\begin{array}{c} a_{n} \\ a_{n+1} \end{array}\right]=M^{k}\left[\begin{array}{l} a_{1} \\ a_{2} \end{array}\right]} \\ k=\square \text { 媌 } \end{array} c. Find a diagonal matrix DD and an invertible matrix PP such that M=PDP1M=P D P^{-1}. d. Find P1P^{-1}. e. Find M5=PD5P1M^{5}=P D^{5} P^{-1}. f. Use parts b. and e. to find a6a_{6}. a6=a_{6}= \square g. Develop an explicit formula for ana_{n} using part b. and a formula for Mk=PDkP1M^{k}=P D^{k} P^{-1}.

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Problem 8999

\triangle \triangle \triangle 5.4.4 Set Four
10. Polka Dot Boutique is having a sale of 15%15 \% off previously marked down items. Gwen finds a pair of jeans originally priced at $45.00\$ 45.00 and marked down by 25%25 \%. She must pay a 6%6 \% sales tax on the final price of the jeans. How much does Gwen spend at Polka Dot Boutique? F. $28.62\$ 28.62 G. $30.41\$ 30.41 H. $33.00\$ 33.00 J. $33.99\$ 33.99 K. $51.68\$ 51.68
11. At a gas station, all chips are marked down 10%10 \%. A customer brings a bag of chips with a regular price of $2.19\$ 2.19 to the register. After the 7%7 \% sales tax on the final price, how much does the customer pay for the bag of chips? Round your answer to the nearest cent. A. $2.02\$ 2.02 B. $2.09\$ 2.09 C. $2.11\$ 2.11 D. $2.22\$ 2.22 E. $2.24\$ 2.24 - A number is decreased by 50%50 \%, and the resulting number is then increased by 300%300 \%. The original number is what percentage of the final number? F. 20%20 \% G. 25%25 \% H. 40%40 \% J. 50%50 \% K. 400%400 \% rance Ticket Learning Targets Percent Increase Percent Decrease Perc

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Problem 9000

11. At a gas station, all chips are marked down 10%10 \%. A customer brings a bag of chips with a regular price of $2.19\$ 2.19 to the register. After the 7%7 \% sales tax on the final price, how much does the customer pay for the bag of chips? Round your answer to the nearest cent. A. $2.02\$ 2.02 B. $2.09\$ 2.09 C. $2.11\$ 2.11 D. $2.22\$ 2.22 E. $2.24\$ 2.24
12. A number is decreased by 50%50 \%, and the resulting number is then increased by 300%300 \%. The original number is what percentage of the final number? F. 20%20 \% G. 25%25 \% H. 40%40 \% J. 50%50 \% K. 400%400 \%

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