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Problem 28701

Question 2: solve the system of equations by graphical method: $\begin{array}{l} \mathrm{x}+2 \mathrm{y}=4 \\ \mathrm{y}=\frac{-1}{2} x+2 \end{array}$

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Problem 28702

3
Найдите точку минимума функции $y=e^{x-13}\left(x^{2}-\frac{29 x}{15}+\frac{23}{15}\right)$

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Problem 28703

Question 1 (a) Kapil opened a recurring deposit account in a bank. He deposits ₹ 1500 every month [3] for 2 years at $5 \%$ simple interest per annum. Find the total interest earned by Kapil on maturity. b) If $A=\left[\begin{array}{ll}2 & 1 \\ 1 & 2\end{array}\right], B=\left[\begin{array}{ll}1 & 4 \\ 2 & 3\end{array}\right]$ and $C=\left[\begin{array}{ll}-1 & 2 \\ -2 & 5\end{array}\right]$ , find $A(B-C)$ . [3]
The table below shows the daily expenditure on food of 50 house-holds in a locality. [4] \begin{tabular}{|c|c|c|c|c|c|c|} \hline \begin{tabular}{c} Daily \\ Expenditure \\ (in ₹) \end{tabular} & $0-100$ & $100-200$ & $200-300$ & $300-400$ & $400-500$ & $500-600$ \\ \hline \begin{tabular}{c} Number of \\ House-holds \end{tabular} & 5 & 8 & 15 & 10 & 7 & 5 \\ \hline \end{tabular}
Using graph paper, draw a histogram representing the above distribution and estimate the mode. Take along $x$ -axis $2 \mathrm{~cm}=₹ 100$ and along $y$ -axis $2 \mathrm{~cm}=2$ Households.
This paper consists of 8 printed pages. 11 Turn Ov yright reserved.

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Problem 28704

Draw $A^{n}$ aあぁ 19 of 46
Fracciones no homogéneas $\frac{2}{15}+\frac{1}{10}$
SOLUCIÓN a) $\operatorname{Como} 30 \div 15=2$ , $\frac{2}{15}=\frac{2 \cdot 2}{15 \cdot 2}=\frac{4}{30}$ $y$ como $30 \div 10=3$ , $\frac{1}{10}=\frac{1 \cdot 3}{10 \cdot 3}=\frac{3}{30}$ . mod es 30.
Por lo tanto, $\frac{2}{15}+\frac{1}{10}=\frac{4}{30}+\frac{3}{30}=\frac{7}{30}$ .

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Problem 28705

79. For a normally distributed population with mean 0 and standard deviation 1,0 , the population interquartile range is closest to which of the following values? a. 0.50 b. 1.28 - 1.349 d. 1.645 e. 1.96

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Problem 28706

Copy and complete the table below for the graph of $y=2 x+1$ . What values should replace A and B? \begin{tabular}{c|c|c|c|c|c} $x$ & -1 & 0 & 1 & 2 & 3 \\ \hline $y$ & -1 & A & 3 & B & 7 \end{tabular}

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Problem 28707

The equation of a line is $y=2 x+8$ What is the $y$ -intercept of the line?

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Problem 28708

Relevante Lernziele: Lineare Algebra Gegeben ist ein Dreieck mit den Eckpunkten $A(5,3,1), B(1,1,4)$ und $C(4,5,4)$ . Bestimmen Sie die Längen der Seiten und die Innenwinkel des Dreiecks.

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Problem 28709

The equation of a line is $y+4=6 x+11$
What is the value of $y$ at the point where the line crosses the $y$ -axis?

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Problem 28710

a. Which TWO of these elements would form
1. ionic compound
RS
2. covalent compound $Q R$ b. For the compounds in (a) above,
1. draw their electronic structures, showing electrons in the outermost shell
2. explain which compound is more volatile in terms of the forces between particles

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Problem 28711

4. You pick a card and flip a coin. What is the probability you choose a vowel and the coin lands on a tail? Cards Coin $A, B, C, E, O, X$ Quarter

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Problem 28712

0: الويت المبفر 0:18:56 -
The next Four (4) questions refer to this situation: Doctors' practices have been categorized as to being Urban, Rural, or Intermediate. The number of doctors who prescribed tetracycline to at least one patient under the age of 8 were recorded for each of these practice :areas. At level of significant 0.01 . The results are
Crosstabulation
Chi-Square Tests \begin{tabular}{|l|r|r|r|} \hline & \multicolumn{1}{|c|}{ Chi-square } & \multicolumn{1}{c|}{ df } & Asymptotic Significance (2-sided) \\ \hline Pearson Chi-Square & $79.277^{9}$ & 2 & .000 \\ Likelihood Ratio & 95.463 & 2 & 000 \\ N of Valid Cases & 474 & & \\ \hline \end{tabular} a. 0 cells $(0.0 \%)$ have expected count less than 5 . The minimum expected count is 12.30 . Specify the Null hypothesis $H_{0}$ : Doctors prescribe tetracycline and county type are linearly associated. 0 - $\mathrm{H}_{\mathrm{q}}$ : Doctors prescribe tetracycline independent of county type - $\mathrm{H}_{0}$ : Doctors prescribe tetracycline and county type are non-linearly associated 0 $\mathrm{H}_{0}$ : Doctors prescribe tetracycline not independent of county type

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Problem 28713

Part 2 of 3 (b) What is the range of the values of the probability of an event? Do not express as percentages.
The range of values is $\square$ to $\square$ inclusive.

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Problem 28714

10 12 13 14 15 16 17 18 19
Annual Miles Driven The average miles driven annually per licensed driver in a certain region of the United States is approximately 12,140 miles. If we assume a fairly mound-shaped distribution with a standard deviation of approximately 3200 miles, find the following:
Part: $0 / 2$
Part 1 of 2 (a) Find the $z$ scores. Round $z$ scores to two decimal places.
The $z$ score for 14,000 miles is $\square$ .
The $z$ score for 9000 miles is $\square$ .

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Problem 28715

2. The slope of the curve $x^{2} y-x y=8$ at $x=-1$ is (a) 3 (b) 4 (c) 5 (d) 6

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Problem 28716

Español
A coin is tossed three times. An outcome is represented by a string of the sort HTT (meaning a head on the first toss, followed by two tails). The 8 outcomes are listed in the table below. Note that each outcome has the same probability.
For each of the three events in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event. \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|} \hline \multirow[t]{2}{}{} & \multicolumn{8}{|c|}{Outcomes} & \multirow{2}{}{Probability} \\ \hline & TIT & TTH & THH & HTT & HHT & HTH & THT & HHH & \\ \hline Event A: A tail on both the first and the last tosses & ○ & ○ & ○ & ○ & ○ & ○ & & ○ & $\square$ \\ \hline Event B: Exactly one head & & & & & & & & & $\square$ \\ \hline Event C: A head on each of the last two tosses & 0 & & & ○ & ○ & ○ & ○ & ○ & $\square$ \\ \hline \end{tabular}

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Problem 28717

14. Solve. $x-9.5=-10.5$
Your answer

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Problem 28718

Here are the scores of 13 students on an algebra test. $59,63,68,68,77,79,81,82,83,86,88,90,92$
Notice that the scores are ordered from least to greatest. Give the five-number summary and the interquartile range for the data set. \begin{tabular}{|l|} \hline \multicolumn{1}{|l|}{ Five-number summary } \\ Minimum: \\ Lower quartile: \\ Median: \\ Upper quartile: \\ Maximum: \\ \hline Interquartile range: \\ \hline \end{tabular}

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Problem 28719

The Venn diagram below shows information about the number of items in sets $F$ and $G$ .
Given that there are fewer than 94 items in total, what is the largest possible number of items in set F?

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Problem 28720

$\begin{aligned} 3 v_{1}-2 v_{2}-3 v_{3} & =-6 \\ -12 v_{1}+19 v_{2}-3 v_{3} & =0 \\ -10 v_{1}-5 v_{2}+19 v_{3} & =140\end{aligned} \ldots$ (1)

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Problem 28721

$\begin{aligned} 3 v_{1}-2 v_{2}-3 v_{3} & =-6 \\ -12 v_{1}+19 v_{2}-3 v_{3} & =0 \\ -10 v_{1}-5 v_{2}+19 v_{3} & =140 \end{aligned} \ldots \text { (1) }$

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Problem 28722

^:૦ Random Variables and Distributions The sampling distribution of the sample mean Shaykhah ian plays a game when he exercises. He chooses a marble from a bag of three marbles: one is red, one is blue, and one is Español green. Based on the marble he chooses, he completes a certain number of push-ups, as shown below. \begin{tabular}{|c|c|} \hline Marble & Number of push-ups \\ \hline red & 7 \\ \hline blue & 8 \\ \hline green & 8 \\ \hline \end{tabular}
Consider choosing a marble like sampling from a population. (The population mean of the number of push-ups is $\mu=7.67$ and the population standard deviation is $\sigma=0.47$ .) (a) Suppose a sample of size 2 is randomly selected from the population, with replacement, as follows. One marble is randomly chosen, the number of push-ups is completed, and the marble is put back into the bag. Then for a second time a marble is randomly chosen and the number of push-ups is completed. There are 9 possible samples. The numbers of push-ups for several of the possible samples have been listed in the table below. Enter the numbers of push-ups for the remaining possible samples. When you are done, select "Compute". In the "Sample mean, $\bar{x}$ " column, you will then see the sample mean of the numbers of push-ups for each sample, along with the mean and standard deviation of all the column's values. \begin{tabular}{|c|c|c|l|} \hline Index & Sample & \begin{tabular}{c} Numbers \\ of push- \\ ups \end{tabular} & \\ \hline 1 & red, red & 7,7 & \\ \hline 2 & red, blue & $\square, \square$ & \\ \hline 3 & red, green & 7,8 & \\ \hline 4 & blue, red & 8,7 & \\ \hline 5 & blue, blue & 8,8 & \\ \hline 6 & blue, green & $\square, \square$ & \\ \hline 7 & green, red & 8,7 & \\ \hline 8 & green, blue & 8,8 & \\ \hline 9 & green, green & $\square, \square$ & \\ \hline \end{tabular} (b) Use the table from part (a) to find $\mu_{\bar{x}}$ (the mean of the sampling distribution of the sample mean) and $\sigma_{\bar{x}}$ (the standard deviation of the sampling distribution of the sample mean). Write your answers to two decimal places. $\begin{array}{l} \mu_{\bar{x}}= \\ \sigma_{\bar{x}}= \end{array}$ $\square$ (c) Graph the frequency histograms for the population distribution and the sampling distribution of the sample mean.
Population distribution Sampling distribution of the sample mean Frequency Frequency Check

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Problem 28723

(a) A botanist at a nursery wants to inspect the health of the plants at the nursery. Which of the following best describes a stratified sample of plants? The botanist forms groups of 8 plants based on the heights of the plants. Then, he randomly chooses 7 groups and selects all of the plants in these groups.
The botanist forms 7 groups of plants based on the ages of the plants (in months). Then, he selects 8 plants at random from each group. The botanist assigns each plant a different number. Using a random number table, he draws 56 of those numbers at random. Then, he selects the plants assigned to the drawn numbers. Every set of 56 plants is equally likely to be drawn using the random number table, (b) A chemist at a pharmaceutical company wants to test the quality of a new batch of microscopes. Which of the following best describes a systematic sample of microscopes?
The chemist forms 5 groups of microscopes based on the prices of the microscopes. Then, he selects 18 microscopes at random from each group. The microscopes in the first shipment that was received are easily accessible. So, he selects all 90 of the microscopes in this shipment. The chemist takes a list of the microscopes and selects every $5^{\text {th }}$ microscope until 90 microscopes are selected. (c) A facilities supervisor at a sports stadium wants to rate the condition of the seats at the stadium. Which of the following best describes a random sample of seats? The supervisor uses a computer program to draw 64 seats at random and selects these seats. Every set of 64 seats is equally likely to be drawn by the computer program. The supervisor takes a list of the seats and selects every $4^{\text {th }}$ seat until 64 seats are selected. The supervisor forms groups of 8 seats based on the sections the seats are in. Then, she selects all of the seats in 8 randomly chosen groups.

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Problem 28724

- Descriptive Statistics www-awa.aleks.com e Mode of a data set Course Home Access code Accesscode... ย Metrya 10 astit chata 4
Here are the numbers of children in 9 elementary school classes. $24,23,19,25,22,14,20,18,16$ Jamelah Send data to calculator Practice 3 Due Today 11:59 PM
Find the modes of this data set. If there is more than one mode, write them separated by commas. If there is no mode, click on "No mode." — $\square$

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Problem 28725

Question 3 Regina invests in a bond that increases in value based on the function $V(t)=470(2.003)^{\mathbf{s}}$ , where $t$ is the time elapsed in yeers and $V(t)$ is the value of the bond in dollars. 등 $x=\#$ of $y$ rs $y=$ value of ingnd
Estimate the amount of time it will take for Reoina's bond b- $\frac{13}{9}<t<\frac{14}{9}$ C- $13<t<14$ $=$ . .09 : $0: \frac{1}{9}$ d- $\frac{14}{9}<t<\frac{5}{3}$

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Problem 28726

12. Solve the triangle given:

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Problem 28727

$15-2(x+3)=x+9$

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Problem 28728

The polynomial of degree $3, P(x)$ , has a root of multiplicity 2 at $x=1$ and a root of multiplicity 1 at $x=-1$ . The $y$ -intercept is $y=-0.3$ : Find a formula for $P(x)$ . $P(x)=$ $\square$

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Problem 28729

5. La grafica muestra el volumen de agua en un lavabo $x$ minutos después de que se abre el grifo. Halla e interpreta la pendiente de la recta.
Agua en el lavabo
La pendiente de la recta es $\square$ y representa la cantidad de tiempo que corrió agua. el volumen de agua. la velocidad a la que corre el agua.

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Problem 28730

16. A recipe for cookies requires $\frac{2}{3}$ cup of butter. Rama wants to make $\frac{3}{4}$ of the recipe. How many cups of butter should Rama use to make the cookies?
F $1 \frac{5}{12} \mathrm{c}$ G $\frac{8}{9} c$ H $\frac{1}{12} \mathrm{C}$ J $\frac{1}{2} c$

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Problem 28731

Diet Cola Preference A recent survey of a new diet cola reported the following percentages of people who liked the taste. Find the weighted mean of the percentages. Round the percentage to one decimal place as needed. \begin{tabular}{ccc} Area & \% Favored & Number surveyed \\ \hline 1 & 60 & 2300 \\ 2 & 40 & 2700 \\ 3 & 90 & 1400 \end{tabular} Send data to Excel
The weighted mean is $\square$ \%.

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Problem 28732

¿Cuál es una ecuación de la relación lineal en la forma pendiente-intercepto? $y=\square x-\square$

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Problem 28733

a) Решите уравнение: $\left(36^{\sin (x)}\right)^{\cos (x)}=6^{\sqrt{2} \sin (x)}$ б) Укажите корни этого уравнения, принадлежащие интервалу: $[8 \pi ; 9 \pi]$

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Problem 28734

A dartboard has 8 equally sized slices numbered from 1 to 8 . Some are grey and some are white. The slices numbered $1,2,3,4,6,7$ , and 8 are grey. The slice numbered 5 is white. A dart is tossed and lands on a slice at random. Let $X$ be the event that the dart lands on a grey slice, and let $P(X)$ be the probability of $X$ .
Let not $X$ be the event that the dart lands on a slice that is not grey, and let $P(\operatorname{not} X)$ be the probability of not $X$ .

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Problem 28735

Which of the following is equivalent to $\int\left(5 x^{3}+\frac{3}{x}-\sqrt{x}\right) d x$ ? $5 x^{4}+3 \ln |x|-x^{3 / 2}+C$ $\frac{5}{4} x^{4}+3 \ln |x|-\frac{2}{3} x^{3 / 2}+C$ $\frac{5}{4} x^{4}-\frac{3}{x^{2}}-\frac{3}{2} x^{3 / 2}+C$ $15 x^{2}-\frac{3}{x^{2}}-\frac{1}{2} x^{-1 / 2}+C$

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Problem 28736

Solve the system below by interpreting it as the matrix equation $A X=B$ and finding the inverse coefficient matrix. $\begin{array}{c} x-2 y+z=33 \\ -2 x+7 y-4 z=-108 \\ 2 x+3 y-3 z=-35 \end{array}$
Calculate $A^{-1}$ . $\square$ Calculate $A^{-1} B$ . $\square$ What is $x$ ? Preview 11 11 $\qquad$
Not equivalent.

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Problem 28737

Compute the average of $f(x)=x^{2}+x+1$ over the interval $[0,1]$ . If your answer is not a whole number, round accurate to at least two decimal places.
Moving to another question will save this response.

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Problem 28738

$\begin{aligned} x-7 y+5 z & =90 \\ -3 x+25 y-18 z & =-319 \\ x+6 y-5 z & =-71 \end{aligned}$
Calculate $A^{-1}$ . $\qquad$
Calculate $A^{-1} B$ . $\qquad$
What is $x$ ? $\qquad$
What is $y$ ? $\qquad$
What is $z$ ?

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Problem 28739

d) $80=100\left(\frac{1}{2}\right)^{x}$

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Problem 28740

Solve the system below by interpreting it as the matrix equation $A X=B$ and finding the inverse coefficient matrix. $\begin{aligned} x-7 y+5 z & =90 \\ -3 x+25 y-18 z & =-319 \\ x+6 y-5 z & =-71 \end{aligned}$
Calculate $A^{-1}$ . $\square$ Calculate $A^{-1} B$ . $\square$ What is $x$ ? \begin{tabular}{|c|c|} \hline & $5524$ \\ \hline \multicolumn{2}{|l|}{5524 ( 5} \\ \hline (3) Not equivalent. & \\ \hline \end{tabular}

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Problem 28741

If two dice are rolled one time, find the probability of getting these results. Enter your answers as fractions or as decimals rounded to 3 decimal places.
Part 1 of 4 (a) A sum of 7 $P(\text { sum of } 7)=\frac{1}{6}$
Part 2 of 4 (b) A sum of 12 or 11 $P($ sum of 12 or 11 $)=\frac{1}{12}$
Part 3 of 4 (c) Doubles $P($ doubles $)=0.167$
Part: 3 / 4
Part 4 of 4 (d) A sum greater than or equal to 5 $P($ sum greater than or equal to 5 $)=$ $\square$

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Problem 28742

choose the letter that best answers the question or completes the statement.
1. Motion is described with respect to a b. displacement. c. slope. d. frame of reference.
2. Displacement is distance combined with a. direction. b. speed. c. velocity. d. magnitude.
3. Displacement vectors of 3 m and 5 m in the same direction combine to make a displacement vector that is a. 2 m . b. 0 m . c. 8 m . d. 15 m .
4. Average speed is the total distance divided by the a. average distance. b. average acceleration. c. total time. d. slope.
5. The slope of a distance-time graph is equal to the a. speed. b. acceleration. c. displacement. d. motion.
6. Velocity is
10. The rate at which velocity is changing at a given instant is described by (4)Text) assessment at PHSchool.com me a. instantaneous acceleration. b. average speed. c. constant speed. d. vector addition.
Understanding Concepts
11. Why is it necessary to choose a single frame reference when measuring motion?
12. For what kinds of distances would you choos make measurements in millimeters? In kilom
13. Light from a star travels to Earth in a straig line at a constant speed of almost 300,000 What is the acceleration of the light?
14. If two displacement vectors add to yield displacement of zero, what do you know the two displacements?
15. How will the total distance traveled by in 2 hours be affected if the average sp is doubled?
16. How do you know that a speedomete you the instantaneous speed of a car?
17. On a distance-time graph, what wou curve describing constant speed look
18. A spider is crawling on a wall. First it 1 meter up, then 1 meter to the left 1 meter down. What is its total disp
19. A jogger travels 8.0 kilometers in 1 What is the jogger's average spees
20. You see a lightning bolt in the sky clap of thunder 3 seconds later. travels at a speed of $330 \mathrm{~m} / \mathrm{s} . \mathrm{Hc}$ was the lightning? (Hint: Assum lightning instantly.)
7. Two or more velocities can be combined by a. graphing the slope. b. using vector addition. c. calculating the instantaneous speed. d. determining the rate.
8. A ball just dropped is an example of a. constant speed. b. instantaneous speed. c. combining displacements. d. free fall.
9. Acceleration is equal to a. distance divided by time. b. change in speed divided by time. c. the slope of a distance-time graph. d. change in speed multiplied by time.

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Problem 28743

Bookwork code: 4H Calculator not allowed
In the pyramid, the number in the top brick is the sum of the numbers in the bottom two bricks. What number should replace $x$ ?

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Problem 28744

1. Determina a ternceira derivada das seguintes funções: a) $y=x e^{x}$

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Problem 28745

3. Use the formulas to find the area and circumference of the circles.
Area:
Area: Circumference:

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Problem 28746

$\log _{a} 3 n=\log _{a} n^{3}$

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Problem 28747

14. If $y=18-4 x$ is the normal line to the curve $f(x)=\sqrt{x}$ at $x=c$ , then the tangent line on this curve at $x=c$ is

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Problem 28748

Motor Vehicle Accidents During a recent year, there were 12.1 million automobile accidents, 4.8 million truck accidents, and 178,000 motorcycle accidents. Find the following probabilities. Enter your answers as fractions or decimals rounded to 3 decimal places.
Part 1 of 2 (a) If one accident is selected at random, find the probability that it is either a truck or motorcycle accident. $P($ truck or motorcycle accident $)=$ $\square$
Part 2 of 2 (b) If one accident is selected at random, find the probability that it is not a truck accident. $P($ not truck accident $)=$ $\square$

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Problem 28749

You organize an 8-hour training for 6 hourly, local employees. The training is led by the manager who earns a salary of $\$ 60,000$ , and by an assistant manager who earns $\$ 48,000$ . Materials cost is $\$ 25 /$ person and food is $\$ 25 /$ person. If the hourly employees make $\$ 12 /$ hour, what is the cost of this training event?

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Problem 28750

0. Using a calculator, determine the solutions for each equation, to two decimal places, on the interval $0 \leq x \leq 2 \pi$ . a) $\sin 2 x=\frac{1}{\sqrt{2}}$ c) $\sin 3 x=-\frac{\sqrt{3}}{2}$ e) $\cos 2 x=-\frac{1}{2}$ b) $\sin 4 x=\frac{1}{2}$ d) $\cos 4 x=-\frac{1}{\sqrt{2}}$ f) $\cos \frac{x}{2}=\frac{\sqrt{3}}{2}$

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Problem 28751

The diagram shows a triangle.
What is the value of $z$ ? $z=\square^{\circ}$

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Problem 28752

In 18-20, evaluate each expression for $x=1.8, x=5$ , and $x=6.4$ .
18. $x \div 4$
19. $x(3.35)$
20. $2 x+3.1$

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Problem 28753

The diagram shows a triangle.
What is the value of $u$ ? $u=$ $\square$ 0 Subrint Work it out

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Problem 28754

18. The height of a pool increases by 4 cm for every 10 litres of water added.
After adding some water the height of the pool increased by 0.24 m . 18a. How many groups of 4 cm are there in 0.24 m ? Sets of $4 \mathrm{~cm}=6$
18b How much water was added to the pool? Amount of water $=$ Enter your next step here $\square$ litres

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Problem 28755

The diagram shows a triangle.
What is the value of $x$ ? $x=\square$

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Problem 28756

24)
A local minimum value of the function $y=\frac{e^{x}}{x}$ is (A) $1 / \mathrm{e}$ (B) 1 (C) -1 (D) e (E) 0

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Problem 28757

5. Spiderman waits above a street, while dangling from two buildings as shown in the figure. If Spiderman's mass is 80 kg , what is the tension in each strand? [7 pts]

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Problem 28758

Assignment 3 alyaqeensa.... (A) alyaqeensa.... (A) alyaqeensa.... (A) Sorry, this p... (A) alyaqeensa.... A صفحة البداية alyaqeensa.... www-awa.aleks.com દદ 三 Assignment 3 Question 5 of 15 (1 point) | Question Attempt: 1 of 1 Time Remaining: 1:19:46 =1 $=2$ = 3 5 6 7 8 9 10 11
Test Scores Find the percentile rank for each test score in the data set. Round to the nearest whole percentile. $12,22,32,41,46,49,50$ Send data to Excel
Part: 0 / 8
Part 1 of 8
The percentile rank for the value 12 is $\square$ .

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Problem 28759

Part 1 of 2
Find all complex zeros of the given polynomial function, and write the polynomial in completely factored form. $f(x)=3 x^{3}+5 x^{2}-39 x-65$
Find the complex zeros of f . Repeat any zeros if their multiplicity is greater than 1. $\mathrm{x}=\square$ (Simplify your answer. Use a comma to separate answers as needed. Express complex numbers in terms of $i$ . Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.)

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Problem 28760

Solve the system of equations. $\begin{array}{l} y=6 x-8 \\ y=4 x+6 \end{array}$ $x=$ $\square$ $y=$

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Problem 28761

In infants' Tylenol, 5 ml contains 160 mg of Acetaminophen. If your child's pediatrician says that your child can take 16 mg of Acetaminophen, how many milliliters ( ml ) should you give the child? a) Record the proportion below in which you will use to solve the problem. Be sure to use $x$ as the unknown quantity. b) Solve your proportion in part a), and record your result below.

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Problem 28762

10 Se arcsen $x=\frac{2}{5} \pi$ , quanto vale arccos $x$ ? (a) $\frac{\pi}{5}$ [c] $\frac{3}{10} \pi$ [b] $\frac{3}{5} \pi$ []. $\frac{\pi}{10}$

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Problem 28763

Find $y^{\prime}$ if $\arctan (x y)=2+x^{2} y$ . Answer: $y^{\prime}=$

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Problem 28764

4) Tina rode her bike 7 miles in 35 minutes. At this rate, how far will Tina trand after rilingher bike for one hour? who rode their bike the fastest. Anthing or Tina? 5) A tendier has 45 books on a shelf. Gf the bwoks, What percentage is about

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Problem 28765

Note: Triangle may not be drawn to scale. Suppose $\mathrm{a}=9$ and $\mathrm{b}=4$ .
Find an exact value or give at least two decimal places: $\sin (A)=$ $\square$ $\cos (A)=$ $\square$ $\tan (A)=$ $\square$ $\sec (A)=$ $\square$ $\csc (A)=$ $\square$ $\cot (A)=$ $\square$

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Problem 28766

Note: Triangle may not be drawn to scale. Suppose $\mathrm{a}=11$ and $\mathrm{A}=25$ degrees. Find: $b=$ $\square$ $c=$ $\square$ $B=$ $\square$ degrees
Give all answers to at least one decimal place. Give angles in degrees

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Problem 28767

Find $v$ .
Write your answer in simplest radical form. $\square$ kilometers Submit

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Problem 28768

$14=3+2 x$

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Problem 28769

Whole Numbers Progress:
The movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending Shown below is a blueprint for a rectangular kennel at a pet hotel.
What is the total length of fencing needed to enclose the kennel? The total length needed is $\qquad$ feet.
The solution is

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Problem 28770

Whole Numbers Progress: Question ID: 105756
The movement of the progress bor moy be uneven because questions can be worth more or less (including zero) depending on your answer. Malcolm is driving 1,323 miles from Wichita to Charleston for a family reunion. He drives 443 miles the first day and 409 miles the second day. Round each distance to the nearest ten and estimate about how many miles Malcolm has left to drive. 400 miles 500 miles 480 miles 470 miles Submit Pass Save and close Don't know answer

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Problem 28771

9) Fill in the missing number to make this calculation correct. 7.52 $+$ $\square$ $=20$ $\frac{}{1 \text { max }}$ (3) Jack spend How man

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Problem 28772

Whole Numbers Progress:
The movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer. Micah is twice as old as Richard. Richard is three times as old as Ken. Ken is six years old. How old is Micah? 11 years old 8 years old 36 years old 18 years old

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Problem 28773

Whole Numbers Progress:
The movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending Which of the following correctly shows the quotient of 75 divided by 5 ? $\frac{5}{75}=12$ $\frac{75}{5}=15$ $75 \div 5=25$ $75 \div 5=70$

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Problem 28774

stuly paths Diagnostic Diagnostic
Whole Numbers Progress: Question ID: 115973
The movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer. An auto transport truck holds 12 cars. A car dealer plans to bring in 1,006 new cars in June and July. If an auto transport truck is filled for each delivery, except for the last one, how many full truckloads are needed and how many cars will be in the last truck? 830 full truckloads with 10 cars on the 831 st truck 83 full truckloads with 10 cars on the $84 t / h$ truck 84 full truckloads with 10 cars on the $85 t h$ truck 83 full truckloads with 12 cars on the 84th truck

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Problem 28775

Yuto solved the equation below. $-2(x+5)=-2(x-2)+5$
What is the solution to Yuto's equation? $-10$ 9 no solution infinitely many solutions

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Problem 28776

Progress: Question ID: 106264
The movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer. A bowl holds the 12 pieces of fruit shown below.
If Jasmine correctly writes the fraction of fruit that are apples, which of the following would be the numerator of the fraction? 12 5 $\frac{7}{12}$ 7

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Problem 28777

ractions and Mixed Numbers rogress:
The movement of the progress bar may be uneven because questions $\frac{3}{8}+\frac{1}{8}+\frac{2}{3}-\frac{1}{2}=$ $\qquad$ $1 \frac{2}{3}$ $\frac{5}{17}$ $\frac{5}{24}$ $\frac{2}{3}$

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Problem 28778

\#2. (18 points) Evaluate the following limits: (2a) (6 points) $\lim _{x \rightarrow \infty} x \sin \left(\frac{1}{x}\right)$ .

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Problem 28779

14. The shaded region represents the area of new tile being replaced on a patio. If each square foot of tile, costs $\$ 2.80$ , then how much will the tile cost?

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Problem 28780

A class of 204 students went on a field trip. They took 9 vehicles, some cars and some buses. Find the number of cars and the number of buses they took if each car holds 4 students and each bus hold 60 students.

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Problem 28781

15. If $f(x)=\ln x$ . then $\lim _{x \rightarrow 3} \frac{f(x)-f(3)}{x-3}$ is (A) $\frac{1}{3}$ (B) $e^{3}$ (C) $\ln 3$ (D) nonexistent $\frac{\ln (5)-\ln (3)}{3-3}=\frac{0}{0}$

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Problem 28782

Вариант 48 Задача 1 Случайые $X_{1}, \ldots, X_{2 n}$ независимы. Также известио, что М $X_{i}=(-1)^{n}, \mathrm{D} X_{1}=2^{-1}, i \in\{1 \ldots \ldots, 2 n\}$ . Положим $S_{n}=\sum_{n-1}^{2 n} X_{n}$ . С помошью неравенства Чебышёва оценить веролтности $\mathrm{P}\left(\left|S_{n}\right| \geqslant 2 \sqrt{1-4^{-n}}\right)$ и $\mathrm{P}\left(\left|S_{n}\right|<2 \sqrt{1-4^{-n}}\right)$ .

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Problem 28783

$2(x+2)+x=3(x-1)+6$
No solution $x=$ $\square$ All real numbers are solutions $-4(w+4)=3(w+4)+7$ No solution $w=$ $\square$ All real numbers are solutions Enolanation Check

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Problem 28784

27. What is the sector area of the shaded region of the circle shown? State the appropriate formula. SHOW ALL WORK!

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Problem 28785

Question Watch Video Show Examples
Find the volume of a pyramid with a square base, where the side length of the base is 4.6 m and the height of the pyramid is 7.2 m . Round your answer to the nearest tenth of a cubic meter.
Answer Attempt 4 out of 5 50.7 $\mathrm{m}^{3}$ Submit Answer

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Problem 28786

7. Given a portion of the periodic table below, write the complete equation for the alpha decay of Plutonium-242. \begin{tabular}{|c|c|c|c|c|c|c|c|} \hline $\begin{array}{r} 89 \\ \text { Ac } \\ {[227.03]} \end{array}$ & $\begin{array}{c} 90 \\ \text { Th } \\ 232.04 \end{array}$ & $\begin{array}{r} 91 \\ \text { Pa } \\ \hline 231.04 \end{array}$ & $\begin{array}{c} 92 \\ \underline{U}-{ }_{238.03} \end{array}$ & $\begin{array}{c} 93 \\ \mathbf{N p} \\ {[237.05]} \end{array}$ & $\begin{array}{c} 94 \\ \frac{\mathrm{Pu}}{[244.06]} \end{array}$ & $\begin{array}{c} 95 \\ \mathrm{Am} \\ {[243.06]} \end{array}$ & $\begin{array}{c} 96 \\ \underline{[247.07} \end{array}$ \\ \hline \end{tabular} [3]

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Problem 28787

yson wants to solve the inequality $\frac{1}{3} m<-21$ . How can he isolate the variable? Multiply both sides by 3 and reverse the inequality symbol. Multiply both sides by 3 and do not reverse the inequality symbol. Divide both sides by -21 and reverse the inequality symbol. Divide both sides by -21 and do not reverse the inequality symbol.

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Problem 28788

the equations. $9=\frac{5-k}{5}$

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Problem 28789

The below scenario describes a real-world or business application that utilizes statistical analysis to help resolve a business problem: increasing efficiency by decreasing processing time. Prepare an analysis by completing five steps of the hypothesis testing with one sample. The report should be a minimum of 5 pages in length.
Last week, your manager asked you to analyze staffing needs for the Foreclosure Department. She was so impressed, and she wants you to create another report for her. Her intention is to decrease the processing time per document.
Based on last week's report, the average number of processed documents per hour was 15.11 , with a standard deviation of 2.666 . That is, one document was reviewed in 238.25 seconds. To be objective as much as possible, the manager spoke with an employee whose average was exactly 15 documents per hour. The employee claimed that if she was given a larger monitor, the processing time would be shorter.
They conducted an experiment with a large monitor and measured processing time. After reviewing 20 documents, the calculated average processing time per document was 190.58 seconds. The manager believes that a bigger monitor helped reduce the processing time for reviewing foreclosure documents. Conduct a hypothesis test using a 95\% confidence level, which means that significance level $\mathrm{a}=0.05$ .
Use the 5-step process, and explain each term or concept mentioned in each section in the following. Step 1: Set Up Null and Alternative Hypotheses Based on the request description, explain if a one-tailed or two-tailed test is needed. If a one-tailed test is needed, is it a left or right-tailed test? Please explain why one alternative is better than the other.
State both of the following hypotheses: - Null hypothesis - Alternative hypothesis
You will need the following information to progress to Step 2: - Standard deviation: Explain what standard deviation is. Locate the calculated standard deviation in the assignment description, and enter here. - Random variable: Explain what a random variable is. Locate it in the assignment description, and enter here.

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Problem 28790

Solve the system of equations by the addition method. $\left\{\begin{array}{l} 3 x+2 y=3 \\ 9 x+6 y=0 \end{array}\right.$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution is $\square$ $\square$ ISimplify your answer Type an ordered pair.) B. There are infinitely many solutions. C. There is no solution.

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Problem 28791

points) Find a particular solution to the equation $y^{\prime \prime}(t)+y(t)=2 \sin (t)$ . $t \sin (t)$ B) $-t \cos (t)$ . C) $t \cos (t)$ . D) $-t \sin (t)$ . E) $\cos (t)$ .

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Problem 28792

11. A city's daily high temperature, in degrees Celsius, can be modelled by A the function $t(d)=-28 \cos \frac{2 \pi}{365} d+10$ , where $d$ is the day of the year and $1=$ January 1 . On days when the temperature is approximately $32^{\circ} \mathrm{C}$ or above, the air conditioners at city hall are turned on. During what days of the year are the air conditioners running at city hall?

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Problem 28793

6. The radius of a sphere is increasing at a rate of $4 \mathrm{~mm} / \mathrm{s}$ . How fast is the volume increasing when the diameter is 80 mm ?

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Problem 28794

1. $\lim _{x \rightarrow-\infty} \frac{3+2^{x}-\infty}{4-5^{x}}$ is (A) $-\frac{2}{5}$ (B) 0 (C) $\frac{3}{4}$

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Problem 28795

$I=\int_{0}^{9} \int_{0}^{\sqrt{x}} y \cos \left(x^{2}\right) d y d x$
Soit $A(x)=\int_{0}^{\sqrt{x}} y \cos \left(x^{2}\right) d y=\left.\frac{y^{2}}{2} \cos \left(x^{2}\right)\right|_{y=0} ^{\sqrt{x}}=\frac{x}{2} \cos \left(x^{2}\right)$
Donc $I=\int_{0}^{9} \frac{x}{2} \cos \left(x^{2}\right) d x=\left.\frac{1}{4} \sin \left(x^{2}\right)\right|_{x=0} ^{9}=\frac{\sin (81)}{4}$

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Problem 28796

Question 4 1 pts
Solve the problem.
Economists use what is called a Leffer curve to predict the government revenue for tax rates from $0 \%$ to $100 \%$ . Economists agree that the end points of the curve generate 0 revenue, but disagree on the tax rate that produces the maximum revenue. Suppose an economist produces this rational function $\mathrm{R}(\mathrm{x})=\frac{10 \mathrm{x}(100-\mathrm{x})}{50+\mathrm{x}}$ , where R is revenue in millions at a tax rate of x percent. Use a graphing calculator to graph the function. What tax rate produces the maximum revenue? What is the maximum revenue?

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Problem 28797

Solve $3|x+1|-2=0$

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Problem 28798

Select the correct answer.
In right triangle $A B C, \angle A$ and $\angle \boldsymbol{B}$ are complementary angles and $\sin A=\frac{B}{9}$ . What is $\cos B$ ? A. $\frac{8 \sqrt{17}}{17}$ B. $\frac{8}{9}$ C. $\frac{\sqrt{17}}{9}$ D. $\frac{\sqrt{17}}{8}$

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Problem 28799

Solve for $x$ : $-(-x-1)=-x+3(-x+7)+6$

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Problem 28800

(2 points) Solve the rational exponent equation. Use factoring where necessary, If there is more than one answer, enter a comma separated list. $x^{2 / 3}=4$ $x=$ $\square$ holp (numbers)

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Solve

Problem 28701

Question 2: solve the system of equations by graphical method: x+2y=4y=−12x+2\begin{array}{l} \mathrm{x}+2 \mathrm{y}=4 \\ \mathrm{y}=\frac{-1}{2} x+2 \end{array}x+2y=4y=2−1​x+2​

Problem 28702

3Найдите точку минимума функции y=ex−13(x2−29x15+2315)y=e^{x-13}\left(x^{2}-\frac{29 x}{15}+\frac{23}{15}\right)y=ex−13(x2−1529x​+1523​)

Problem 28703

Problem 28704

Problem 28705

79. For a normally distributed population with mean 0 and standard deviation 1,0 , the population interquartile range is closest to which of the following values? a. 0.50 b. 1.28 - 1.349 d. 1.645 e. 1.96

Problem 28706

Copy and complete the table below for the graph of y=2x+1y=2 x+1y=2x+1. What values should replace A and B? \begin{tabular}{c|c|c|c|c|c} xxx & -1 & 0 & 1 & 2 & 3 \\ \hlineyyy & -1 & A & 3 & B & 7 \end{tabular}

Problem 28707

The equation of a line is y=2x+8y=2 x+8y=2x+8 What is the yyy-intercept of the line?

Problem 28708

Relevante Lernziele: Lineare Algebra Gegeben ist ein Dreieck mit den Eckpunkten A(5,3,1),B(1,1,4)A(5,3,1), B(1,1,4)A(5,3,1),B(1,1,4) und C(4,5,4)C(4,5,4)C(4,5,4). Bestimmen Sie die Längen der Seiten und die Innenwinkel des Dreiecks.

Problem 28709

The equation of a line is y+4=6x+11y+4=6 x+11y+4=6x+11What is the value of yyy at the point where the line crosses the yyy-axis?

Problem 28710

a. Which TWO of these elements would form1. ionic compoundRS2. covalent compound QRQ RQR b. For the compounds in (a) above,1. draw their electronic structures, showing electrons in the outermost shell2. explain which compound is more volatile in terms of the forces between particles

Problem 28711

4. You pick a card and flip a coin. What is the probability you choose a vowel and the coin lands on a tail? Cards Coin A,B,C,E,O,XA, B, C, E, O, XA,B,C,E,O,X Quarter

Problem 28712

Problem 28713

Part 2 of 3 (b) What is the range of the values of the probability of an event? Do not express as percentages.The range of values is □\square□ to □\square□ inclusive.

Problem 28714

Problem 28715

2. The slope of the curve x2y−xy=8x^{2} y-x y=8x2y−xy=8 at x=−1x=-1x=−1 is (a) 3 (b) 4 (c) 5 (d) 6

Problem 28716

Problem 28717

14. Solve. x−9.5=−10.5x-9.5=-10.5x−9.5=−10.5Your answer

Problem 28718

Problem 28719

The Venn diagram below shows information about the number of items in sets FFF and GGG.Given that there are fewer than 94 items in total, what is the largest possible number of items in set F?

Problem 28720

Problem 28721

Problem 28722

Problem 28723

Problem 28724

Problem 28725

Problem 28726

12. Solve the triangle given:

Problem 28727

15−2(x+3)=x+915-2(x+3)=x+915−2(x+3)=x+9

Problem 28728

The polynomial of degree 3,P(x)3, P(x)3,P(x), has a root of multiplicity 2 at x=1x=1x=1 and a root of multiplicity 1 at x=−1x=-1x=−1. The yyy-intercept is y=−0.3y=-0.3y=−0.3 : Find a formula for P(x)P(x)P(x). P(x)=P(x)=P(x)= □\square□

Problem 28729

Problem 28730

Problem 28731

Problem 28732

¿Cuál es una ecuación de la relación lineal en la forma pendiente-intercepto? y=□x−□y=\square x-\squarey=□x−□

Problem 28733

a) Решите уравнение: (36sin⁡(x))cos⁡(x)=62sin⁡(x)\left(36^{\sin (x)}\right)^{\cos (x)}=6^{\sqrt{2} \sin (x)}(36sin(x))cos(x)=62​sin(x) б) Укажите корни этого уравнения, принадлежащие интервалу: [8π;9π][8 \pi ; 9 \pi][8π;9π]

Problem 28734

Problem 28735

Problem 28736

Problem 28737

Compute the average of f(x)=x2+x+1f(x)=x^{2}+x+1f(x)=x2+x+1 over the interval [0,1][0,1][0,1]. If your answer is not a whole number, round accurate to at least two decimal places.Moving to another question will save this response.

Problem 28738

Problem 28739

d) 80=100(12)x80=100\left(\frac{1}{2}\right)^{x}80=100(21​)x

Problem 28740

Problem 28741

Problem 28742

Problem 28743

Bookwork code: 4H Calculator not allowedIn the pyramid, the number in the top brick is the sum of the numbers in the bottom two bricks. What number should replace xxx ?

Problem 28744

1. Determina a ternceira derivada das seguintes funções: a) y=xexy=x e^{x}y=xex

Problem 28745

3. Use the formulas to find the area and circumference of the circles.Area:Area: Circumference:

Problem 28746

log⁡a3n=log⁡an3\log _{a} 3 n=\log _{a} n^{3}loga​3n=loga​n3

Problem 28747

14. If y=18−4xy=18-4 xy=18−4x is the normal line to the curve f(x)=xf(x)=\sqrt{x}f(x)=x​ at x=cx=cx=c, then the tangent line on this curve at x=cx=cx=c is

Problem 28748

Problem 28749

Problem 28750

Problem 28751

The diagram shows a triangle.What is the value of zzz ? z=□∘z=\square^{\circ}z=□∘

Problem 28752

In 18-20, evaluate each expression for x=1.8,x=5x=1.8, x=5x=1.8,x=5, and x=6.4x=6.4x=6.4.18. x÷4x \div 4x÷419. x(3.35)x(3.35)x(3.35)20. 2x+3.12 x+3.12x+3.1

Question 2: solve the system of equations by graphical method: $\begin{array}{l} \mathrm{x}+2 \mathrm{y}=4 \\ \mathrm{y}=\frac{-1}{2} x+2 \end{array}$

3
Найдите точку минимума функции $y=e^{x-13}\left(x^{2}-\frac{29 x}{15}+\frac{23}{15}\right)$

Copy and complete the table below for the graph of $y=2 x+1$ . What values should replace A and B? \begin{tabular}{c|c|c|c|c|c} $x$ & -1 & 0 & 1 & 2 & 3 \\ \hline $y$ & -1 & A & 3 & B & 7 \end{tabular}

The equation of a line is $y=2 x+8$ What is the $y$ -intercept of the line?

Relevante Lernziele: Lineare Algebra Gegeben ist ein Dreieck mit den Eckpunkten $A(5,3,1), B(1,1,4)$ und $C(4,5,4)$ . Bestimmen Sie die Längen der Seiten und die Innenwinkel des Dreiecks.

The equation of a line is $y+4=6 x+11$
What is the value of $y$ at the point where the line crosses the $y$ -axis?

a. Which TWO of these elements would form
1. ionic compound
RS
2. covalent compound $Q R$ b. For the compounds in (a) above,
1. draw their electronic structures, showing electrons in the outermost shell
2. explain which compound is more volatile in terms of the forces between particles

4. You pick a card and flip a coin. What is the probability you choose a vowel and the coin lands on a tail? Cards Coin $A, B, C, E, O, X$ Quarter

Part 2 of 3 (b) What is the range of the values of the probability of an event? Do not express as percentages.
The range of values is $\square$ to $\square$ inclusive.

2. The slope of the curve $x^{2} y-x y=8$ at $x=-1$ is (a) 3 (b) 4 (c) 5 (d) 6

14. Solve. $x-9.5=-10.5$
Your answer

The Venn diagram below shows information about the number of items in sets $F$ and $G$ .
Given that there are fewer than 94 items in total, what is the largest possible number of items in set F?

$15-2(x+3)=x+9$

The polynomial of degree $3, P(x)$ , has a root of multiplicity 2 at $x=1$ and a root of multiplicity 1 at $x=-1$ . The $y$ -intercept is $y=-0.3$ : Find a formula for $P(x)$ . $P(x)=$ $\square$

¿Cuál es una ecuación de la relación lineal en la forma pendiente-intercepto? $y=\square x-\square$

a) Решите уравнение: $\left(36^{\sin (x)}\right)^{\cos (x)}=6^{\sqrt{2} \sin (x)}$ б) Укажите корни этого уравнения, принадлежащие интервалу: $[8 \pi ; 9 \pi]$

Compute the average of $f(x)=x^{2}+x+1$ over the interval $[0,1]$ . If your answer is not a whole number, round accurate to at least two decimal places.
Moving to another question will save this response.

d) $80=100\left(\frac{1}{2}\right)^{x}$

Bookwork code: 4H Calculator not allowed
In the pyramid, the number in the top brick is the sum of the numbers in the bottom two bricks. What number should replace $x$ ?

1. Determina a ternceira derivada das seguintes funções: a) $y=x e^{x}$

3. Use the formulas to find the area and circumference of the circles.
Area:
Area: Circumference:

$\log _{a} 3 n=\log _{a} n^{3}$

14. If $y=18-4 x$ is the normal line to the curve $f(x)=\sqrt{x}$ at $x=c$ , then the tangent line on this curve at $x=c$ is

The diagram shows a triangle.
What is the value of $z$ ? $z=\square^{\circ}$

In 18-20, evaluate each expression for $x=1.8, x=5$ , and $x=6.4$ .
18. $x \div 4$
19. $x(3.35)$
20. $2 x+3.1$

The diagram shows a triangle.
What is the value of $u$ ? $u=$ $\square$ 0 Subrint Work it out

The diagram shows a triangle.
What is the value of $x$ ? $x=\square$

24)
A local minimum value of the function $y=\frac{e^{x}}{x}$ is (A) $1 / \mathrm{e}$ (B) 1 (C) -1 (D) e (E) 0

Solve the system of equations. $\begin{array}{l} y=6 x-8 \\ y=4 x+6 \end{array}$ $x=$ $\square$ $y=$

10 Se arcsen $x=\frac{2}{5} \pi$ , quanto vale arccos $x$ ? (a) $\frac{\pi}{5}$ [c] $\frac{3}{10} \pi$ [b] $\frac{3}{5} \pi$ []. $\frac{\pi}{10}$

Find $y^{\prime}$ if $\arctan (x y)=2+x^{2} y$ . Answer: $y^{\prime}=$

Note: Triangle may not be drawn to scale. Suppose $\mathrm{a}=11$ and $\mathrm{A}=25$ degrees. Find: $b=$ $\square$ $c=$ $\square$ $B=$ $\square$ degrees
Give all answers to at least one decimal place. Give angles in degrees

Find $v$ .
Write your answer in simplest radical form. $\square$ kilometers Submit

$14=3+2 x$

9) Fill in the missing number to make this calculation correct. 7.52 $+$ $\square$ $=20$ $\frac{}{1 \text { max }}$ (3) Jack spend How man