Word Problem

Problem 12001

Given $\triangle K L M \sim \triangle N O M$ . Enter segments in the blanks provided that would result in a true equation.
Answer $\frac{\mathrm{KL}}{\mathrm{LM}}=$ Submit Answer

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Problem 12002

Joanna has a total of 50 coins in her purse. • The coins are either nickels or quarters. ■ The total value of the coins is $7.10. Which system of equations can be used to determine the number of nickels, n, and quarters, q, that Joanna has in her purse? O n+q= 50 0.05n+ 0.25q = 7.10 n+q=7.10 50n+50q = 7.10 0.05n+ 0.25q = 50 n+q= 7.10 0.05n+ 0.25q = 7.10 50n+ 50q = 7.10

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Problem 12003

Provious Noxt Sample Space and Venn Diagrams: Mastery Submit Test Tools Into 3
Select the correct answer. Two events, $E_{1}$ and $E_{2}$ , are defined for a random experiment. What is the probability that at least one of the two events occurs in any trial of the experiment? A. $P\left(E_{1}\right)-P\left(E_{2}\right)-P\left(E_{1} \cap E_{2}\right)$ B. $P\left(E_{1}\right)+P\left(E_{2}\right)-2 P\left(E_{1} \cap E_{2}\right)$ C. $P\left(E_{1}\right)+P\left(E_{2}\right)-P\left(E_{1} \cap E_{2}\right)$ D. $P\left(E_{1}\right)+P\left(E_{2}\right)+P\left(E_{1} \cap E_{2}\right)$

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Problem 12004

The acceleration, in meters per second per second, of a race car is modeled by $A(t)=t^{3}-\frac{15}{2} t^{2}+12 t+10$ , where $t$ is measured in seconds. What is the car's maximum acceleration on the time interval $0 \leq t \leq 6$ ? (A) The maximum acceleration of the race car is 2 meters per second per second and occurs at $t=4$ seconds.
B The maximum acceleration of the race car is 6 meters per second per second and occurs at $t=28$ seconds. C. The maximum acceleration of the race car is 15.5 meters per second per second and occurs at $t=1$ second. (D) The maximum acceleration of the race car is 28 meters per second per second and occurs at $t=6$ seconds.

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Problem 12005

6) Explain how a quadratic function and its reciprocal function are related with regards to positive and negative intervals. Use an example with your explanation.

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Problem 12006

7) A biologist predicted that the population of tadpoles in a pond could be modelled by the function $f(x)=\frac{40 x}{x+7}$ , where x is given in days and $0 \leq x \leq 10$ . The function that actually models the tadpole population is $g(x)=\frac{80}{(x+7)(x+1)}$ for $0 \leq x \leq 10$ . Determine when $\mathrm{f}(\mathrm{x}) \geq \mathrm{g}(\mathrm{x})$ .

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Problem 12007

Given two points, $(3,3)$ and $(1,-3)$ , write the equation of the line passing through these points.

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Problem 12008

Mitosis is a process of cell reproduction in which one cell divides into two identical cells. $E$ , coli is a fast-growing bacterium that is often responsible for food poisoning in uncooked meat. It can reproduce itself in 15 minutes. If you begir with 100 E. coli bacteria, how many will there be in 1 hour? a. 1200 bacteria c. 1500 bacteriá b. 1400 bacteria d. 1600 bacteria
Please select the best answer from the choices provided A B C D

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Problem 12009

Ready Solve Problems with Ratios and Unit Rates - Instruction - Level F
Avery and Carmen both have summer jobs. Avery gets paid $\$ 360$ every 4 weeks. Carmen gets paid $\$ 480$ every 6 weeks. Summer break lasts a total of 12 weeks. Who will earn more money during summer break?
Find the amount Avery and Carmen each earn in 1 week. Avery earns \ $?$ \square$ per week.
Carmen earns \ $?$ \square$ per week.

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Problem 12010

Jeffrey has a plot of land where he would like to build three fenced areas for his horses. He wants two areas to be congruent in size and a third area to have side lengths 2 times the length of the sides of the other two An image is shown with rectangles $W N Y F$ and $R B Y F$ representing the congruent fenced areas and rectangle $L B N K$ representing the larger similar area.
Given that $W N Y F \cong R B Y F, R B Y F \sim L B N K, W N=F Y, F W=Y N, F R=7 x+7.8, W N=13 y-25.4, L B=17 y+1.4$ , and $K L=21 x-16.6$ , what is the perimeter of the entire plot of land, rectangle $W K L R$ ? $\square$ feet

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Problem 12011

The diameter of a cylindrical water tank is 9 ft , and its height is 11 ft . What is the volume of the tank? Use the value 3.14 for $\pi$ , and round your answer to the nearest whole number. Be sure to include the correct unit in your answer. $\square$ ft

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Problem 12012

A car has a velocity of $36 \mathrm{~m} / \mathrm{s}$ , and can accelerete at $22 \mathrm{~m} / \mathrm{s}^{2}$ . How much time will it take for him to reach $81 \mathrm{~m} / \mathrm{s}$ ? 3.48 seconds 2.05 seconds 0.17 seconds 1.64 seconds

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Problem 12013

A company makes wax candles in the shape of a cylinder. Each candle has a radius of 3 Inches and a helght of 4 Inches. If the company used 3278.16 in ${ }^{3}$ of wax, how many candles did it make?
Use 3.14 for $\pi$ , and do not round your answer. candles

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Problem 12014

Question A roclangular photograph that is 5 inches wide and 7 inches long is enlarged to produce a photograph is 12 inchos wide. If the enlarged photograph is in proportion to the original, what is the length, in inche the enlarged pholograph? $\frac{35}{12}$ $\frac{84}{5}$ 8 12 Type here to search

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Problem 12015

A company uses paper cups shaped like cones for its water cooler. Each cup has a helght of 6 cm , and the base has a dlameter of 7 cm . How much water is needed to fill 200 cups?
Use 3.14 for $\pi$ , and do not round your answer. $\mathrm{cm}^{3}$

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Problem 12016

2. Calcule o aumento da pressão necessário, para que um volume inicial de 5000 litros de água se rẹduza a 4900 litros $\left(\varepsilon=20.10^{8} \mathrm{~N} / \mathrm{m}^{2}\right.$ . (4 valores).

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Problem 12017

$016 \quad 10.0$ points An outfielder throws a 1.73 kg baseball at a speed of $108 \mathrm{~m} / \mathrm{s}$ and an initial angle of $14.3^{\circ}$ .
What is the kinetic energy of the ball at the highest point of its motion?
Answer in units of J .

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Problem 12018

Liana is putting tile behind the stove in her kitchen. The base pattern of the tile, polygon $R W M K T$ , is made up of two congruent rhombi, RHLY and $K T Y L$ , and a similar rhombus, HWMK, that has side lengths that are $\frac{3}{2}$ times the side lengths of the smaller rhombi. A partial image of the tile pattern is shown
Given that $R H L Y \cong K T Y L, R H L Y \sim H W M K, R H=Y L, Y L=T K, W H=M K, H L=(y+0.5)$ inches (in.), $L Y=(3 x-0.2)$ in., $W M=(3 y-1.5)$ in., $M K=(5 x-0.7)$ in., and $R Y=(5 x)$ in., what is the perimeter of one base pattern, $R W M K T$ ? $\square$ inches

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Problem 12019

A car accelerates from rest at $4.4 \mathrm{~m} / \mathrm{s}^{2}$ . How much time does it need to attain a speed of $5 \mathrm{~m} / \mathrm{s}$ ?
Answer in units of s. Answer in units of s.

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Problem 12020

8. Write the equation of the line in point slope form that contains $P(3,-6)$ and is parallel to $y=-4 x+$ A) $y-3=\frac{1}{4}(x+6)$ E) $y+6=-4(x-3)$ D) $y-6=-4(x-3)$
9. Write the equation of the line that contains $\mathrm{P}(-1,6)$ and is perpendicular to $y=\frac{1}{2} x+2$ ? A) $y=\frac{1}{2} x+\frac{13}{2}$ B) $y=2 x+8$ D) $y=-\frac{1}{2} x+\frac{11}{2}$ E) none of these
Unit 2-Foundations of Geometry
10. Vertical angles are never A) congruent B) right angles C) adjacent D) supplementary E) complementary
11. Are $O, N$ , and $P$ collinear? If so, name the line on which they lie. A) Yes, they lie on the line $N P$ B) No, the three points are not collinear C) Yes, the lie on the line $M O$ D) Yes, they lie on the line MP $\square$

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Problem 12021

Question 4 The Remaining 85 mins
A group of friends wants to go to the amusement park. They have no more than $\$ 125$ to spend on parking and admission. Parking is $\$ 16.75$ , and tickets cost $\$ 20.25$ per person, including tax. Which inequality can be used to determine $x$ , the maximum number of people who can go to the amusement park?
Answer $16.75+20.25 x \geq 125$ $20.25(x+16.75) \geq 125$ Subnil Alshar $20.25(x+16.75) \leq 125$ $16.75+20.25 x \leq 125$

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Problem 12022

Determine the coordinate of the point $P(x, y)$ after a rotation of 40 degrees about $(0,0)$ , from the point $(5,0)$ . Round to 1 decimal place.

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Problem 12023

Classify the numbers as rational or irrational. -9 2 $-9+2$

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Problem 12024

A new car is worth $\$ 25,000$ . However, it loses $12 \%$ of its value each year due to depreciation. Write an explicit formula describing the value of the car, $a_{n}$ , after $n$ years.

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Problem 12025

Adam thinks of a number. $\frac{6}{11}$ of his number is 42 . What is $\frac{1}{11}$ of his number?

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Problem 12026

Which of the following explains how $\triangle A E B$ could be proven similar to $\triangle D E C$ using the $A A$ similarity postulate? $\angle A E B \cong \angle C E D$ because vertical angles are congruent; reflect $\triangle C E D$ across segment $F G$ , then translate point $D$ to point $A$ to confirm $\angle E A B \cong \angle E D C$ . $\angle A E B \approx \angle C E D$ because vertical angles are congruent; rotate $\triangle C E D 180^{\circ}$ around point $E$ , then dilate $\triangle C E D$ to confirm $\overline{E B} \approx \overline{E C}$ . $\angle A E B \cong \angle D E C$ because vertical angles are congruent; rotate $\triangle C E D 180^{\circ}$ around point $E$ , then translate point $D$ to point $A$ to confirm $\angle E A B=\angle E D C$ . $\angle A E B \cong \angle D E C$ because vertical angles are congruent; reflect $\triangle C E D$ across segment $F G$ , then dilate $\triangle C E D$ to confirm $\overline{E B} \approx \overline{E D}$

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Problem 12027

2 Multivie Firswer 1 point Find all the circuits of length 2 . Choose all that apply- $A, D A$ F, H,F $A, B, A$ A,H,A C,DC F,G,F $D, E, D$ $B, C, B$ None of the above. G,H,G $B, D, B$ A,E,A

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Problem 12028

Which of the following describe -4 ? Select all that apply. whole number irrational number real number integer

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Problem 12029

الرقابة الداخلية تاتي وفقا للتراخيص الناتجة عن الادارة True False

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Problem 12030

You have the following observations. Stock HJK will pay dividends $\$ 4$ per share next year. The S\&P 500 index return averages $10 \%$ a year and the rate on Treasury bill is at 6\%. You have downloaded data from Bloomberg and estimated the beta of Stock HJK at 1.25. A. What is the required rate of return? B. What is the price of the stock if the amount of dividends stays at $\$ 4$ per share forever?

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Problem 12031

What is the value of the expression below when $w=9$ and $x=5$ ? $10 w+4 x$

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Problem 12032

A small rectangular glass tile has a length of $6 \sqrt{2} \mathrm{~cm}$ and a width of $\sqrt{38} \mathrm{~cm}$ . Determine the area of the tile.

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Problem 12033

6
A ladder leans against a brick wall. The foot of the ladder is 6 feet from the wall. The ladder reaches a height of 15 feer on the wall. Frod to the nearest degree, the angle the ladder makes with the wall. Round to the nearest whole number. Show all work for full credit. $\square$

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Problem 12034

4. SpongeBob wants to go to point $D$ from point $A$ on an island. He can swim to any point $C$ on the beach. He can swim at $4 \mathrm{~km} / \mathrm{hr}$ and run at $5 \mathrm{~km} / \mathrm{hr}$ . (a) Find analytically the location of $C$ between $B$ and $D$ that will take the least amount of time. (b) Find the time it would take to swim from A to C and then run from C to D using the result of ) (c) Find the time it would take if Spongebob swam from A to B, and then run from B to D (d) Find the time if Spongebob swam directly from A to D, and compare the results with those of (b) and (c).

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Problem 12035

Margot is sewing a ribbon on a seam along the perimeter of a square pillow. The side length of the pillow is $2 x^{2}+1$ inches. She plans to make a similar pillow, including the ribbon, whose side length is $4 x-7$ inches. What expression can be used for the length of ribbon that she needs for both pillows, and what is the length if $x=3.5$ ? $2 x^{2}+4 x-6 ; 22.0$ inches $2 x^{2}+4 x-6 ; 32.5$ inches $4\left(2 x^{2}+4 x-6 ;\right) 88.0$ inches $4\left(2 x^{2}+4 x-6 ;\right) 130.0$ inches

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Problem 12036

H.w Read The methad discussed in this file and use it to reduce the PDE: $y u_{x}+u_{y}=x$ to canonical form, and oblain the general solution

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Problem 12037

kid's ride at Story Book Park has a diameter of 6 m and 8 boats around the outside. If the oats are numbered in order, how far is it directly from the 1st boat to the 4th boat? Round our answer to two decimal places. (4 marks)

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Problem 12038

PDF w/o expl
8. Slide \#8 10 pts possible
A 790 N student stands in the middle of a frozen pond having a radius of 4.9 m . He is unable to get to the other side because of a lack of friction between his shoes and the ice. To overcome this difficulty, he throws his 3.5 kg physics textbook horizontally toward the north shore at a speed of $6.6 \mathrm{~m} / \mathrm{s}$ .
The acceleration of gravity is $9.81 \mathrm{~m} / \mathrm{s}^{2}$ . How long does it take him to reach the south shore?
Answer in units of s. Answer in units of s.
Your response...

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Problem 12039

12. Here are two sequencen: 1 EXAM
Sequence B a. For sequence $A$ , describe a way to produce each new term from the previous term. take Lle previas term and limes it by 10 b. For sequence B, describe a way to produce each new term from the previous term. c. Write a definition for the $n$ th term of sequence $A$ d. Write a definition for the nth term of sequence B e. If these sequences continue, then which is greater, $A(6)$ or $B(6)$ ? Explain or show how you know.

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Problem 12040

1. A basketball team consists of some quards and six forwards. If there are 420 ways to select two guards and three forwards to the starting line-up, then the number of quards on the team is $\qquad$
2. A coach must choose the 5 starters for a basketball team from 6 males and 5 females. If there must be at least two of each gender in the starting line-up, the number of different groups of players that can be chosen is $\qquad$
3. A sports store has jerseys representing the seven Canadian NHL teams and the eight Canadian CFL teams. Five of these jerseys have to be chosen for display in a store window. The store owner decides to choose three NHL and two CFL jerseys. These jerseys will be arranged in a row in the store window. The number of displays that can be made by choosing the jerseys and then arranging them in the window is $\qquad$
4. How many arrangements of the word POPPIES can be made
If the first letter is $P$ and the next one is not $P$ .

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Problem 12041

1. Dion drives a hovercraft at 40 miles per hour on the Mississippi River. How far does Dion travel in 15 minutes?
Dion travels $\square$ miles in 15 minutes.

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Problem 12042

Which set of side lengths represents a triangle with 3 lines of reflectional symmetry? 3,4,5 3, 6, 9 5, 5, 5 $5,10,5$

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Problem 12043

If a quadrilateral has exactly 2 lines of symmetry, and both are angle bisectors, then which statement would be true? The figure must be an isosceles trapezoid because it has 2 congruent base angles. The figure must be a rectangle because all rectangles have exactly 2 lines of symmetry. The figure could be a rhombus because the 2 lines of symmetry bisect the angles. The figure could be a square because the diagonals of a square bisect the right angles.

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Problem 12044

Managed Favorites PCPS Desktop Home TBC: Read Watch Le... reference_media.pdf Restore pages Microsoft Edge closed while you open.
The table shows the scores of two teams at the end of the first half of a trivia challenge. \begin{tabular}{|c|c|} \hline Team & Points Scored \\ \hline Bobcats & $2 x-7$ \\ \hline Huskies & $5 x-3$ \\ \hline \end{tabular}
How many more points did the Huskies score than the Bobcats? $\qquad$ point(s) $\qquad$ () Need help with this question?

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Problem 12045

Give the relevant proportion using correct notation. A survey conducted of 1060 randomly selected US teens aged 13 to 17 found that 605 of them say they have made a new friend online. ${ }^{1}$ ${ }^{1}$ Lenhart A, "Teens, Technology, and Friendships", Pew Research Center, pewresearch.org, August 6, 2015. $:=$ $\square$ $\square$ $\square$ : : < : $\mu$ $\mu_{1}$ $\mu_{2}$ : $p$ : $p_{1}$ $p_{2}$ 0.57 : $\rho$ $\bar{x}$ $\square$ $\bar{x}_{2}$ $\hat{p}$ $\hat{p}_{1}$ $\hat{p}_{2}$ : $r$

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Problem 12046

Math $6-1$
Three members of a teen hiking group hiked $\frac{3}{5}$ of the entire Appalachian trail. The hikers took turns carrying a backpack of supplies. If each teen carried the backpack the same distance, what part of the total distance did each hiker carry the backpack?
In this problem, the numerator is the same number as the $\square$ So the answer will be a $\square$ Each hiker carried the backpack for $\square$ of the total trail distance. Intro Done

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Problem 12047

(7). Find the angle $A$ in the triangle with the given sides. $a=4.5, b=3.5, c=6.5$

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Problem 12048

A)
A farm has two cylindrical silos for storing grain as shown.
Silo A
Silo B
How much greater is the volume, in cubic feet, of the larger silo than the smaller silo?
Use 3.14 for pi. Show your work. (3 points)
The volume of Silo $A$ is: $\qquad$ ift $t^{3}$ .
The volume of Silo B is $\qquad$ $f t^{3}$
The volume of Silo $A$ is $\square$ cubic feet larger than the volume of the Silo B. $33,912.0$ $20,347.2$ : $\mathbf{6 , 7 8 2 . 4}$ 27, 129.6 $13,564.8$

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Problem 12049

(MP) Model with Mathematics A box of pasta weighs 13.6 ounces. A recipe calls for 95.2 ounces of pasta. Write and solve an equation to find the number of boxes of pasta needed to make the recipe.

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Problem 12050

2. Line Segment $A B$ has endpoints $A(-10,4)$ and $B(-6,2)$ . What is the equation of the perpendicular bisector of $A B$ . (Need to use midpoint formula, slope formula and point slope form to answer this question)

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Problem 12051

6.) Josie determines that she can only afford a car payment of $\$ 250$ per month. The car she wants to purchase has a 4.22\% APR for 60 months and a down payment of $\$ 500$ . The dealership calculates a monthly payment of $\$ 350$ What are some things that will lower Josie's monthly payment? Increase her dain pagment and find a laver mitrest rate frama tre car longer

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Problem 12052

Calculate the fluid intake in milliliters $(\mathrm{mL})$ for the following food items. Please fill in each blank. If the item is not included in $1 \& \mathrm{O}$ , then write 0 . Assume - a soup bowl holds 4 oz , - a Jell-o cup holds 2 oz, - a glass holds 8 oz .
Calculate the mL , for each item below, that would be included in the patient's intake. $1 / 2$ bowl tomato soup = $\square$ mL
1 lime Jell-o cup = $\square$ mL $1 / 2$ quart iced tea $=$ $\square$ mL
1 glass water = $\square$ mL
2 bagels $=$ $\square$ mL
TOTAL $=$ $\square$ mL

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Problem 12053

FUZZIE || 1: Find the GCF: 12 & 26 answer choices A: B: C: 4 2 1 2: Find the LCM: D: Et F: 14 35 28 5&7 G: H I: 5 12 7 3: Find the GCF: 14 & 35 4: Find the LCM: 4 & 12 Type the 4- letter code into the answer box. All CAPS, no spaces.

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Problem 12054

23.An RC circuit has an emf of 100 volts, a resistance of 5 ohms, a capacitance of 0.02 farad, and an initial charge on the capacitor of 5 coulombs. Find (a) an expression for the charge on the capacitor at any time $t$ and (b) the current in the circuit at any time t .

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Problem 12055

The average American gets a haircut every 37 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. $42,30,26,24,26,40,42,29,23,27,24,29,32$
What can be concluded at the the $\alpha=0.01$ level of significance level of significance? a. For this study, we should use t-test for a population mean 0 b. The null and alternative hypotheses would be: $H_{0}$ : $\mu 0$ E $\square$ $\square$ $0^{6}$ $0^{6}$
0 $0^{6}$ c. The test statistic $\square$ $\left.t^{2}\right)^{2}=$ (please show your answer to 3 decimal places.) $\square$ d. The p -value $=$ $\square$ (Please show your answer

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Problem 12056

Problem Statement: Cumulative Sum for Multiple Queries Problem Description: You are given an array of integers arr[] of size $n$ . You need to answer multiple range sum queries. For each query, you will be asked to return the sum of elements in the subarray from index I to index $r$ (both inclusive). You need to process these queries efficiently.
Input: - An array arr[] of integers with size $n$ . - An integer $q$ representing the number of queries. - For each query, you are given two integers / and $r$ , where you need to return the sum of elements in the subarray arr[l...r].
Output: - For each query, print the sum of elements from index I to r (inclusive).
Example Test Cases: Example 1: Input: arr $=[1,2,3,4,5]$ Number of Queries: 3 02 14 04 Output: 6 14 15

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Problem 12057

A triangle has two sides of lengths 5 and 12 . What value could the length of the third side be? Check all that apply. A. 9 B. 17 C. 5 D. 7 E. 19 F. 11

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Problem 12058

(4)) Shanti has 32 toys and 40 erasers to divide into prize bags for her friends. Shanti wants each prize bag to have the same number of toys and the same number of erasers. 4) What is the greatest number of prize bags Shanti can make? 41) Use the number pad to enter your answer in the box. (4) The greatest number of prize bags Shanti can make is $\square$

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Problem 12059

Assume the annual rate of change in the national debt of a country (in billions of dollars per year) can be modeled by the function $D^{\prime}(t)=848.18+816.08 t-151.95 t^{2}+17.76 t^{3}$ where $t$ is the number of years since 1995. By how much did the debt increase between 1996 and $2007 ?$
The debt increased by $\$ 72,270.55$ billion. (Round to two decimal places as needed.)

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Problem 12060

Multiple Choice 1 point
If each edge of a cube is tripled, how many times greater will the total surface area become? 3. 9 54 27 6

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Problem 12061

Question 67
A client's intake was the following: - $11 / 4$ cup of coffee $(1$ cup $=4 \mathrm{oz})=$ $\square$ mL - 4 oz cranberry juice = $\square$ mL - $11 / 2$ bowls of chicken broth $(1$ bowl $=8 \mathrm{oz})=$ $\square$ mL - $41 / 2$ glasses of water ( 1 glass $=6$ oz $)=$ $\square$ mL - The client voided urine as follows: $360 \mathrm{~mL}, 120 \mathrm{~mL}, 300 \mathrm{~mL}$ , and 225 mL
Calculate the client's intake and output in mL . a. Intake: $\square$ mL b. Output: $\square$ mL

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Problem 12062

The lunch special at Maya's Restaurant is a sandwich, a drink and a dessert. There are 3 sandwiches, 4 drinks, and 1 dessert to choose from. How many lunch specials are possible?

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Problem 12063

Exponents, Polynomials, and Radicals Converting between scientific notation and standard form in a real-world... Madely
Answer the following. (a) An astronomer's infrared telescope is able to detect radiation with a wavelength of $1.96 \times 10^{-5}$ meters. Write this number in standard notation. (b) The diameter of Pluto at its equator is approximately 2390 kilometers. Write this number in scientific notation. (a) $\square$ meters $\square$ $\times 10^{\circ}$ (b) $\square$ kilometers

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Problem 12064

Answer the following. (a) The signal from a certain satellite takes approximately 0.054 seconds to reach Earth. Write this number in scientific notati (b) The total surface area of Africa is approximately $1.17 \times 10^{7}$ square miles. Write this number in standard notation. (a) $\square$ seconds (b) $\square$ square miles

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Problem 12065

(16) A $90 \%$ antifreeze solution is to be mixed with a $75 \%$ solution to make 120 liters of a $78 \%$ solution. How many liters of the $90 \%$ and $75 \%$ solutions will be used?

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Problem 12066

↓ LaunchPad X NC Applications | Rapid identity A ALEKS-Madelyn Swift - Learn × + → C ㄖㄨ www-awy.aleks.com/alekscgi/x/1sl.exe/10_u-lgNslkr7j8P3jH-v-KZJxvdFe9CBW0Gbtpb560CWSdDRHsYrY6zNgB4kR5ernRsf2aQ_rCZFu2YQhBhWKvOX99JQsBduk... ⭑ All Bookmarks O Equations and Inequalities Solving a word problem using a two-step linear Inequality Madelyn V To rent a certain meeting room, a college charges a reservation fee of $14 and an additional fee of$ 6 per hour. The chemistry club wants to spend at most $68 on renting the room. What are the possible numbers of hours the chemistry club could rent the meeting room? Use t for the number of hours. Write your answer as an inequality solved for t. Español

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Problem 12067

Equations and irequalities Solving a word problem using a two-step unear inequallty Lucy wants to rent a boat and spend less than $\$ 43$ . The boat costs $\$ 8$ per hour, and Lucy has a discount coupon for $\$ 5$ off. What are the possible numbers of hours Lucy could rent the boat?
Use $t$ for the number of hours. Write your answer as an inequality solved for $t$ .

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Problem 12068

PRACTICE QUESTION 11 A 2.4 g sample of carbon is burnt in a calorimeter. Given that $\Delta \mathrm{H}^{\circ} \mathrm{f}$ for $\mathrm{CO}_{2}$ is $-394 \mathrm{~kJ} \mathrm{~mol}^{-1}$ and the heat capacity of the calorimeter is $10 \mathrm{~kJ}^{\circ} \mathrm{C}^{-1}$ , calculate the temperature change of the calorimeter.
Answer

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Problem 12069

1) A rope is cut into three pieces $P, Q$ , and $R$ . The lengths of the pieces are in the ratio $3: 5: 7$ . If the rope is 33 feet 9 inches long, find the lengths of $P, Q$ , and $R$ .

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Problem 12070

Point $C$ is the midpoint of $\overline{A B}$ and point $B$ is between points $A$ and $D$ . If $A D=17$ and $B D=9$ , what $C D=$

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Problem 12071

Before toothpaste was invented, people sometimes used calcium carbonate, $\mathrm{CaCO}_{3}(\mathrm{~s})$ , to clean their teeth. What mass of calcium carbonate can be precipitated by reacting 80.0 mL of a $0.100 \mathrm{~mol} / \mathrm{L}$ solution of sodium carbonate, $\mathrm{Na}_{2} \mathrm{CO}_{3}(\mathrm{aq})$ , with 50.0 mL of a $0.100 \mathrm{~mol} / \mathrm{L}$ solution of calcium chloride, $\mathrm{CaCl}_{2}(\mathrm{aq})$ ?

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Problem 12072

A rectangular lot is 80 yards wide and 130 yards long. Give the length and width of another rectangular lot that has the same perimeter but a larger area. $\square$ width $=$ yards yards

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Problem 12073

Question Watch Video Show Examples
Bilquis accepted a new job at a company with a contract guaranteeing annual raises. Bilquis will get a raise of $\$ 2000$ every year and had a starting salary of $\$ 35000$ . Make a table of values and then write an equation for $S$ , in terms of $n$ , representing Bilquis' salary after working $n$ years for the company. \begin{tabular}{|c|c|} \hline Number of Years at the Company & Bilquis' Salary (Dollars) \\ \hline 0 & \\ \hline 1 & \\ \hline 2 & \\ \hline 3 & \\ \hline \end{tabular}

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Problem 12074

An that both A and B will occur is 0.1 .
8. The conditional probability of A , given B (a) is $1 / 2$ .
8. The conditional probability of A , given B (a) is $1 / 2$ . $\frac{20}{50} \cdot \frac{z^{19}}{50}=19 / 175$ $\frac{20}{50}$ 50 $=0$ ur is ility 0.5 . An event $B$ will occur with probability 0.6 . The probability $P(A)=.5 \quad P(B)=.6$ (b) is $3 / 10$ . (c) is $1 / 5$ . $P\left(P_{n} A\right)=$ (d) is $1 / 6$ . (1) cannot be determined from the information given. $P(A, B)=$

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Problem 12075

5. For each of the following, find the number described by setting up and solving an equation. Use the variable $n$ in each case. (a) When two-thirds of a number is (b) When the sum of a number and 14 is increased by 8 , the result is 20 . divided by 3 , the result is 4 .
USING YOUR MATH
6. Mark is six years older than his brother Sam. The sum of their ages is 30. Let $a$ be Sam's age. Set up and solve an equation using the information given to find the value of $a$ .
7. Alonzo and Mandy are selling raffle tickets at school for a fundraiser. Alonzo sells 5 tickets less than three times what Mandy sells. Together they sell a total of 43 tickets. Let $n$ equal the number of tickets Mandy sells. Use an equation to determine the number of tickets Alonzo sells. Show how you arrived at your answer.
8. Elena, Karla, and Faye are playing a card game where they score points. Karla scores twice the number of points Elena does, and Faye scores 30 points more than Elena does. The sum of their three scores is 114 . Who scores more points, Karla or Faye? Show how you found your answer. (Hint: Let $n$ equal the number of points that Elena scores.) N-Gen Matie 7, Unit 6-Lintar Equations and Inequalities - Lesson 6

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Problem 12076

Which of these absolute values is the greatest? A. $|140|$ B. $|-104|$ C. $|104|$ D. |-204| Reset Next

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Problem 12077

um erro inferior a $10^{-2}$
4. Usando o método de ponto fixo, determinar o valor aproximado de $\sqrt[5]{-7}$ com erro inferior a $10^{-2}$ . 3.5

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Problem 12078

O Linear Inequalities Solving a decimal word problem using a linear inequality with the variabl... 0/3 JOSHERLY
A phone company offers two monthly charge plans. In Plan A, there is Español no monthly fee, but the customer pays 6 cents per minute of use. In Plan B, the customer pays a monthly fee of $\$ 9$ and then an additional 3 cents per minute of use. For what amounts of monthly phone use will Plan A cost more than Plan B? Use $m$ for the number of minutes of phone use in a month, and solve your inequality for $m$ . $\square$ ㅁ< ロ>ロ $\square \leq \square$ $\square \geq \square$ $\times$ 5 Explanation Check

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Problem 12079

4. A company budgeted unit sales of 204,000 units for January, 2017 and 240,000 units for February 2017. The company-has-a policy of having an inventory of units on hand at the end equal to $30 \%$ of next month's budgeted unit sales. If there were 61,200 units of inventory on hand on December 31, 2016, how many units should be produced in January, 2017 in order for the company to meet its goals?

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Problem 12080

Marc left his house to drive to work. As he heads down his street, his speed increases steadily until he sees the stop sign at the end of the street. Then his speed decreases steadily until he comes to a complete stop at the stop sign. After waiting at the stop sign for his turn to go, Marc's speed steadily increases until he reaches the speed limit. Marc then drives at this constant speed until he approaches his office. He slows down steadily and comes to a complete stop in front of his office.
Which graph represents Marc's drive to work?
Marc's Drive to Work $\Delta y$
Marc's Drive to Work

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Problem 12081

9) Let $X$ be a set of three elements and $\mathcal{P}(X)$ be the power set of $X$ . The digraph for one of the following relations on $\mathcal{P}(X)$ has no loops. A) $A \boldsymbol{R}_{\mathbf{1}} B$ iff $A=B$ B) $A \boldsymbol{R}_{\mathbf{2}} B$ iff $A \neq B$ C) $A \boldsymbol{R}_{\mathbf{3}} B$ iff $A \subseteq B$ D) $A \boldsymbol{R}_{\mathbf{4}} B$ iff $B \subseteq A$ E) NOTA

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Problem 12082

(1) Oxygen atoms don't take positive oxidation number except on binding with $\qquad$ (a) Fluorine ${ }^{2} F$ (b) Chlorine ${ }_{17} \mathrm{Cl}$ (c) Hydrogen ${ }_{1} H$ (c) Sulphur ${ }_{16 S} S$

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Problem 12083

إذا كان المطوح المحدد بالمتجهات

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Problem 12084

13. Jeacher cuts our every 3 sheets of paper into 10 equal pieces and he divided all proves equally between 2 students a) How many pieces of pager does oacn stuclent ge c.

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Problem 12085

В большой развивающейся стране численность занятых составляет 100 млн. чел., а уровень безработицы составляет 20\%. Какова численность безработных в этой стране?
Выберите один ответ: a. $20 \mathrm{M} / \mathrm{H}$ b. $25 \mathrm{~m} / \mathrm{H}$ C. $80 \mathrm{~m} / \mathrm{H}$ d. $16 \mathrm{~m} / \mathrm{H}$

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Problem 12086

На рынке подсластителей торгуются сироп топинамбура и стевия. Какое значение может принимать перекрёстная эластичность спроса на сироп топинамбура по цене стевии, е? Выберите ВСЕ верные ответы. (Частично правильный вариант не засчитывается!) a. $\mathrm{e}<0$ b. $e>1$ c. $\mathrm{e}=0$ d. $0<e<1$

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Problem 12087

Если уровень цен за год вырос в 2,5 раза, то сколько составила инфляции за этот период?
Выберите один ответ: a. $100 \%$ b. $250 \%$ c. $150 \%$ d. $50 \%$

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Problem 12088

Что вероятнее всего произойдет в экономике в долгосрочном периоде после перманентного повышения доли государственных расходов на потребление в ВВП?
Выберите один ответ: a. рост профицита госбюджета b. снижение уровня безработицы c. увеличение объема выпуска d. повышение темпа инфляции

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Problem 12089

CONSTRUCTION Lupita is building a gate following this diagram.
If $m \angle L M N=43^{\circ}$ and $\angle L M N \cong \angle O M P$ , what is $m \angle N M P$ ? A) $47^{\circ}$ B) $69^{\circ}$ C) $94^{\circ}$ D) $137^{\circ}$

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Problem 12090

1 - Derivatives of Polynomials and Exponential Functions: point)
At a time $t$ seconds after it is thrown up in the air, a tomato is at a height (in meters) of $f(t)=-4.9 t^{2}+60 t+4 \mathrm{~m}$ . A. What is the average velocity of the tomato during the first 5 seconds? (Include help (units) .) $\square$ B. Find (exactly) the instantaneous velocity of the tomato at $t=5$ . (Include help (units) .) $\square$ C. What is the acceleration at $t=5$ ? (Include help (units).) $\square$ D. How high does the tomato go? (Include help (units).) $\square$ E. How long is the tomato in the air? (Include help (units).) ote: You can earn partial credit on this problem.
Preview My Answers Submit Answers ou have attempted this problem 0 times. ou have unlimited attempts remaining.

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Problem 12091

(1 point)
Find the function with derivative $f^{\prime}(x)=e^{9 x}$ that passes through the point $P=(0,2 / 9)$ . $f(x)=$ $\square$ Preview My Answers Submit Answers
You have attempted this problem 0 times. You have unlimited attempts remaining.

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Problem 12092

(1 point)
The top and bottom margins of a poster are 4 cm and the side margins are each 6 cm . If the area of printed material on the poster is fixed at 384 square centimeters, find the dimensions of the poster with the smallest area. \begin{tabular}{|l|l|l|} \hline & & \\ \hline & \begin{tabular}{c} printed \\ material \end{tabular} & \\ \hline & & \\ \hline \end{tabular}
Width = $\square$ (include $\square$ help (units) Height $=$ $\square$ (include help (units)
Note: You can earn partial credit on this problem.

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Problem 12093

If 1600 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box. Volume $=$ $\square$ (include help (units)

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Problem 12094

2) Theresa adds $\$ 3,000$ to her savings account on the first day of each year. Marcus adds $\$ 3,000$ to his savings account on the last day of each year. They both earn 7.5 percent annual interest. What is the difference in their savings account balances at the end of 34 years? You estimate that you will owe \$48,200 in student loans by the time you graduate. The interest rate is 6.52 percent. If you want to have this debt paid in full within six years, how much must you pay each month?

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Problem 12095

A hexagon is graphed on a coordinate grid and then was rotated $90^{\circ}$ counterclockwise with the origin as the center of rotation to create a new figure. If a vertex of the original hexagon was located at $(3,-9)$ , which ordered pair represents the vertex of the new hexagon after th transformation? $(3,9)$ $(9,3)$ $(-3,-9)$ $(-9,-3)$

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Problem 12096

You invest $\$ 300$ in an account at $7.5 \%$ per year simple interest. How much will you have in the account at the beginning of the 11th year? Round your answer to the nearest whole dollar. A. $\$ 575$ B. $\$ 525$ C. $\$ 601$ D. $\$ 375$ SUBMIT

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Problem 12097

Listen
There are three integers. The sums of each distinct pair of integers are $-16,-9$ , and -1 . What is the greatest integer?
Greatest Integer: $\square$ Previous 5 6 7 8 9 10 11 12 13 14 Next

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Problem 12098

Considere el plano $x-2 y+2 z=1$ y los puntos $A(-1,2,3) \quad B(1,4,4)$ que pertenecen a dicho plano. Si $A$ es el centro del cuadrad̃o y $B$ es un vértice, determine los otros vértices.

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Problem 12099

What is the stope of the line that passes through $(-3,2)$ and $(-3,4)$ ? (A) $=\frac{13}{4}$ (B) 0 (C) $-\frac{4}{13}$ (D) Undefined

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Problem 12100

Name $\qquad$ Date $\qquad$
1. Jacob lives on a street that runs east and west. The grocery store is to the east and the post office is to the west of his house. Both are on the same street as his house. Answer the questions below about the following story:
At 1:00 p.m., Jacob hops in his car and drives at a constant speed of 25 mph for 6 minutes to the post office. After 10 minutes at the post office, he realizes he is late and drives at a constant speed of 30 mpl to the grocery store, arriving at 1:28 p.m. He then spends 20 minutes buying groceries. a. Draw a graph that shows the distance Jacob's car is from his house with respect to time. Remember to label your axes with the units you chose and any important points (home, post office, grocery store).

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1 ...118 119 120 121 122

Word Problem

Problem 12001

Given △KLM∼△NOM\triangle K L M \sim \triangle N O M△KLM∼△NOM. Enter segments in the blanks provided that would result in a true equation.Answer KLLM=\frac{\mathrm{KL}}{\mathrm{LM}}=LMKL​= Submit Answer

Problem 12002

Problem 12003

Problem 12004

Problem 12005

6) Explain how a quadratic function and its reciprocal function are related with regards to positive and negative intervals. Use an example with your explanation.

Problem 12006

Problem 12007

Given two points, (3,3)(3,3)(3,3) and (1,−3)(1,-3)(1,−3), write the equation of the line passing through these points.

Problem 12008

Problem 12009

Problem 12010

Problem 12011

The diameter of a cylindrical water tank is 9 ft , and its height is 11 ft . What is the volume of the tank? Use the value 3.14 for π\piπ, and round your answer to the nearest whole number. Be sure to include the correct unit in your answer. □\square□ ft

Problem 12012

A car has a velocity of 36 m/s36 \mathrm{~m} / \mathrm{s}36 m/s, and can accelerete at 22 m/s222 \mathrm{~m} / \mathrm{s}^{2}22 m/s2. How much time will it take for him to reach 81 m/s81 \mathrm{~m} / \mathrm{s}81 m/s ? 3.48 seconds 2.05 seconds 0.17 seconds 1.64 seconds

Problem 12013

A company makes wax candles in the shape of a cylinder. Each candle has a radius of 3 Inches and a helght of 4 Inches. If the company used 3278.16 in 3{ }^{3}3 of wax, how many candles did it make?Use 3.14 for π\piπ, and do not round your answer. candles

Problem 12014

Problem 12015

A company uses paper cups shaped like cones for its water cooler. Each cup has a helght of 6 cm , and the base has a dlameter of 7 cm . How much water is needed to fill 200 cups?Use 3.14 for π\piπ, and do not round your answer. cm3\mathrm{cm}^{3}cm3

Problem 12016

2. Calcule o aumento da pressão necessário, para que um volume inicial de 5000 litros de água se rẹduza a 4900 litros (ε=20.108 N/m2\left(\varepsilon=20.10^{8} \mathrm{~N} / \mathrm{m}^{2}\right.(ε=20.108 N/m2. (4 valores).

Problem 12017

01610.0016 \quad 10.001610.0 points An outfielder throws a 1.73 kg baseball at a speed of 108 m/s108 \mathrm{~m} / \mathrm{s}108 m/s and an initial angle of 14.3∘14.3^{\circ}14.3∘.What is the kinetic energy of the ball at the highest point of its motion?Answer in units of J .

Problem 12018

Problem 12019

A car accelerates from rest at 4.4 m/s24.4 \mathrm{~m} / \mathrm{s}^{2}4.4 m/s2. How much time does it need to attain a speed of 5 m/s5 \mathrm{~m} / \mathrm{s}5 m/s ?Answer in units of s. Answer in units of s.

Problem 12020

Problem 12021

Problem 12022

Determine the coordinate of the point P(x,y)P(x, y)P(x,y) after a rotation of 40 degrees about (0,0)(0,0)(0,0), from the point (5,0)(5,0)(5,0). Round to 1 decimal place.

Problem 12023

Classify the numbers as rational or irrational. -9 2 −9+2-9+2−9+2

Problem 12024

A new car is worth $25,000\$ 25,000$25,000. However, it loses 12%12 \%12% of its value each year due to depreciation. Write an explicit formula describing the value of the car, ana_{n}an​, after nnn years.

Problem 12025

Adam thinks of a number. 611\frac{6}{11}116​ of his number is 42 . What is 111\frac{1}{11}111​ of his number?

Problem 12026

Problem 12027

2 Multivie Firswer 1 point Find all the circuits of length 2 . Choose all that apply- A,DAA, D AA,DA F, H,F A,B,AA, B, AA,B,A A,H,A C,DC F,G,F D,E,DD, E, DD,E,D B,C,BB, C, BB,C,B None of the above. G,H,G B,D,BB, D, BB,D,B A,E,A

Problem 12028

Which of the following describe -4 ? Select all that apply. whole number irrational number real number integer

Problem 12029

الرقابة الداخلية تاتي وفقا للتراخيص الناتجة عن الادارة True False

Problem 12030

Problem 12031

What is the value of the expression below when w=9w=9w=9 and x=5x=5x=5 ? 10w+4x10 w+4 x10w+4x

Problem 12032

A small rectangular glass tile has a length of 62 cm6 \sqrt{2} \mathrm{~cm}62​ cm and a width of 38 cm\sqrt{38} \mathrm{~cm}38​ cm. Determine the area of the tile.

Problem 12033

6A ladder leans against a brick wall. The foot of the ladder is 6 feet from the wall. The ladder reaches a height of 15 feer on the wall. Frod to the nearest degree, the angle the ladder makes with the wall. Round to the nearest whole number. Show all work for full credit. □\square□

Problem 12034

Problem 12035

Problem 12036

H.w Read The methad discussed in this file and use it to reduce the PDE: yux+uy=xy u_{x}+u_{y}=xyux​+uy​=x to canonical form, and oblain the general solution

Problem 12037

kid's ride at Story Book Park has a diameter of 6 m and 8 boats around the outside. If the oats are numbered in order, how far is it directly from the 1st boat to the 4th boat? Round our answer to two decimal places. (4 marks)

Problem 12038

Problem 12039

Problem 12040

Problem 12041

1. Dion drives a hovercraft at 40 miles per hour on the Mississippi River. How far does Dion travel in 15 minutes?Dion travels □\square□ miles in 15 minutes.

Problem 12042

Which set of side lengths represents a triangle with 3 lines of reflectional symmetry? 3,4,5 3, 6, 9 5, 5, 5 5,10,55,10,55,10,5

Problem 12043

Problem 12044

Problem 12045

Problem 12046

Problem 12047

(7). Find the angle AAA in the triangle with the given sides. a=4.5,b=3.5,c=6.5a=4.5, b=3.5, c=6.5a=4.5,b=3.5,c=6.5

Problem 12048

Problem 12049

(MP) Model with Mathematics A box of pasta weighs 13.6 ounces. A recipe calls for 95.2 ounces of pasta. Write and solve an equation to find the number of boxes of pasta needed to make the recipe.

Problem 12050

2. Line Segment ABA BAB has endpoints A(−10,4)A(-10,4)A(−10,4) and B(−6,2)B(-6,2)B(−6,2). What is the equation of the perpendicular bisector of ABA BAB. (Need to use midpoint formula, slope formula and point slope form to answer this question)

Problem 12051

Problem 12052

Given $\triangle K L M \sim \triangle N O M$ . Enter segments in the blanks provided that would result in a true equation.
Answer $\frac{\mathrm{KL}}{\mathrm{LM}}=$ Submit Answer

Given two points, $(3,3)$ and $(1,-3)$ , write the equation of the line passing through these points.

The diameter of a cylindrical water tank is 9 ft , and its height is 11 ft . What is the volume of the tank? Use the value 3.14 for $\pi$ , and round your answer to the nearest whole number. Be sure to include the correct unit in your answer. $\square$ ft

A car has a velocity of $36 \mathrm{~m} / \mathrm{s}$ , and can accelerete at $22 \mathrm{~m} / \mathrm{s}^{2}$ . How much time will it take for him to reach $81 \mathrm{~m} / \mathrm{s}$ ? 3.48 seconds 2.05 seconds 0.17 seconds 1.64 seconds

A company makes wax candles in the shape of a cylinder. Each candle has a radius of 3 Inches and a helght of 4 Inches. If the company used 3278.16 in ${ }^{3}$ of wax, how many candles did it make?
Use 3.14 for $\pi$ , and do not round your answer. candles

A company uses paper cups shaped like cones for its water cooler. Each cup has a helght of 6 cm , and the base has a dlameter of 7 cm . How much water is needed to fill 200 cups?
Use 3.14 for $\pi$ , and do not round your answer. $\mathrm{cm}^{3}$

2. Calcule o aumento da pressão necessário, para que um volume inicial de 5000 litros de água se rẹduza a 4900 litros $\left(\varepsilon=20.10^{8} \mathrm{~N} / \mathrm{m}^{2}\right.$ . (4 valores).

$016 \quad 10.0$ points An outfielder throws a 1.73 kg baseball at a speed of $108 \mathrm{~m} / \mathrm{s}$ and an initial angle of $14.3^{\circ}$ .
What is the kinetic energy of the ball at the highest point of its motion?
Answer in units of J .

A car accelerates from rest at $4.4 \mathrm{~m} / \mathrm{s}^{2}$ . How much time does it need to attain a speed of $5 \mathrm{~m} / \mathrm{s}$ ?
Answer in units of s. Answer in units of s.

Determine the coordinate of the point $P(x, y)$ after a rotation of 40 degrees about $(0,0)$ , from the point $(5,0)$ . Round to 1 decimal place.

Classify the numbers as rational or irrational. -9 2 $-9+2$

A new car is worth $\$ 25,000$ . However, it loses $12 \%$ of its value each year due to depreciation. Write an explicit formula describing the value of the car, $a_{n}$ , after $n$ years.

Adam thinks of a number. $\frac{6}{11}$ of his number is 42 . What is $\frac{1}{11}$ of his number?

2 Multivie Firswer 1 point Find all the circuits of length 2 . Choose all that apply- $A, D A$ F, H,F $A, B, A$ A,H,A C,DC F,G,F $D, E, D$ $B, C, B$ None of the above. G,H,G $B, D, B$ A,E,A

What is the value of the expression below when $w=9$ and $x=5$ ? $10 w+4 x$

A small rectangular glass tile has a length of $6 \sqrt{2} \mathrm{~cm}$ and a width of $\sqrt{38} \mathrm{~cm}$ . Determine the area of the tile.

6
A ladder leans against a brick wall. The foot of the ladder is 6 feet from the wall. The ladder reaches a height of 15 feer on the wall. Frod to the nearest degree, the angle the ladder makes with the wall. Round to the nearest whole number. Show all work for full credit. $\square$

H.w Read The methad discussed in this file and use it to reduce the PDE: $y u_{x}+u_{y}=x$ to canonical form, and oblain the general solution

1. Dion drives a hovercraft at 40 miles per hour on the Mississippi River. How far does Dion travel in 15 minutes?
Dion travels $\square$ miles in 15 minutes.

Which set of side lengths represents a triangle with 3 lines of reflectional symmetry? 3,4,5 3, 6, 9 5, 5, 5 $5,10,5$

(7). Find the angle $A$ in the triangle with the given sides. $a=4.5, b=3.5, c=6.5$

2. Line Segment $A B$ has endpoints $A(-10,4)$ and $B(-6,2)$ . What is the equation of the perpendicular bisector of $A B$ . (Need to use midpoint formula, slope formula and point slope form to answer this question)

23.An RC circuit has an emf of 100 volts, a resistance of 5 ohms, a capacitance of 0.02 farad, and an initial charge on the capacitor of 5 coulombs. Find (a) an expression for the charge on the capacitor at any time $t$ and (b) the current in the circuit at any time t .

Multiple Choice 1 point
If each edge of a cube is tripled, how many times greater will the total surface area become? 3. 9 54 27 6

(16) A $90 \%$ antifreeze solution is to be mixed with a $75 \%$ solution to make 120 liters of a $78 \%$ solution. How many liters of the $90 \%$ and $75 \%$ solutions will be used?

1) A rope is cut into three pieces $P, Q$ , and $R$ . The lengths of the pieces are in the ratio $3: 5: 7$ . If the rope is 33 feet 9 inches long, find the lengths of $P, Q$ , and $R$ .

Point $C$ is the midpoint of $\overline{A B}$ and point $B$ is between points $A$ and $D$ . If $A D=17$ and $B D=9$ , what $C D=$

A rectangular lot is 80 yards wide and 130 yards long. Give the length and width of another rectangular lot that has the same perimeter but a larger area. $\square$ width $=$ yards yards