Math Questions

Suppose a plane flies 48 miles in 12 minutes. The relationship between miles flown, x, and minutes flown, y, by the plane can represented by the equation y = 1/4x. How far will the plane fly in 28 minutes? A) 112 miles B) 116 miles C) 120 miles D) 124 miles

For the real-valued functions g(x)=x²+3 and h(x)=x-4, find the composition goh and specify its domain using interval notation.

Kala needs $4300 for a future project. She can Invest $2000 now at an annual rate of 10%, compounded quarterly. Assuming that no withdrawals are made, how long will it take for her to have enough money for her project? Do not round any Intermediate computations, and round your answer to the nearest hundredth.

25% of the students attended the school dance. If 32 attended the dance, how many students are there in all? A. 128 C. 16 B. 8 D. 140

Express the set using the roster method. {x|X ∈ N and 25<x< 90} Choose the correct answer below. A. Ø B. {26, 27, 28, 29, ..., 89} C. {25, 26, 27, 28, ..., 90} D. {..., 23, 24, 25, 90, 91, 92, ...}

For the real-valued functions f(x)=√(5x+30) and g(x)=x-3, find the composition fog and specify its domain using interval notation.

Casey took a total of 12 quizzes over the course of 3 weeks. After attending 5 weeks of school, how many quizzes (q) will Casey have taken in total? Assume the relationship is directly proportional. A)18 B)20 C)22 D)24

Marla made $42 babysitting for 5 hours. How much money did she make each hour? A. $8.40 C. $1.90 B. $8.10 D. $11.90

What are the solutions to 2(x-7)² = 32? A x = 7 ± √32 B x=± √65 X= C x = 3 and x = 11 D x = -1 and x = 15

What is the volume of a sphere with a diameter of 49.3 cm, rounded to the nearest tenth of a cubic centimeter?

A basket is filled with 2 white eggs and 14 brown eggs. Half of the brown eggs are cracked. An egg is randomly selected from the basket. What is the probability that it is a cracked, brown egg? Write your answer as a fraction in simplest form.

Wyatt has a bag that contains pineapple chews, cherry chews, and lime chews. He performs an experiment. Wyatt randomly removes a chew from the bag, records the result, and returns the chew to the bag. Wyatt performs the experiment 33 times. The results are shown below: A pineapple chew was selected 23 times. A cherry chew was selected 6 times. A lime chew was selected 4 times. Based on these results, express the probability that the next chew Wyatt removes from the bag will be lime chew as a percent to the nearest whole number.

In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Latanya sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below. 58 visitors purchased no costume. 156 visitors purchased exactly one costume. 23 visitors purchased more than one costume. Based on these results, express the probability that the next person will purchase exactly one costume as a fraction in simplest form.

Define Euler's Constant and provide its numerical value and what is it also known as (not gamma which is the symbol). Definition: Numerical value (decimal format, 1st 8 numbers):

The functions f and g are defined by f(x) = 8x +33 and g(x) = 2 - (1.2). 1. Which function eventually grows faster, for g? Explain how you know. 2. Explain why the graphs of f and g meet for a positive value of x.

A designer builds a model of a canoe. The finished model is exactly the same shape as the original, but smaller. The scale factor is 3:11. (a) Find the ratio of the height of the model to the height of the original. (b) Find the ratio of the volume of the model to the volume of the original. (c) Find the ratio of the surface area of the model to the surface area of the original. Write these ratios in the format m:n.

inding the Suppose that the number of bacteria in a certain population increases according to a continuous exponential growth model. A sample of 2400 bacteria selected from this population reached the size of 2556 bacteria in two hours. Find the hourly growth rate parameter. Note: This is a continuous exponential growth model. Write your answer as a percentage. Do not round any intermediate computations, and round your percentage to the nearest hundredth.

A box is filled with 5 red crayons, 9 blue crayons, and 6 yellow crayons. A crayon is chosen at random from the box. Find the probability that it is a red or a blue crayon. Write your answer as a fraction in simplest form.

When the volume of a gas is changed from 986 mL to mL, the temperature will change from 765 K to 315 K.

A line segment of length is scaled by a factor of 1.5 to produce a segment with length m. The new segment is then scaled by a factor of 1.5 to give a segment of length n. What scale factor takes the segment of length to the segment of length n? Explain your reasoning.

In an examination, 5 children were found to have their mobiles in their pocket. The invigilator fired them and took their mobiles in his possession towards the end of the test, Invigilator randomly returned their mobiles. The number of ways in which atmost two children did not get their own mobiles is 11 λ then λ =

At Marcy's Department Store, all dresses are 40% off. If the regular price of a dress is $85, what is the sale price? A. $51.00 C. $45.00 B. $40.00 D. $58.00

A study shows that, over the course of a lifetime, the average salary of college graduates is greater than the average salary of people with only a high school diploma. The results were published claiming that graduating from college ensures you will make more money over the course of your lifetime. What is the problem with reporting results this way? loaded question voluntary response correlation and causality missing data

Suppose that $2900 is Initially Invested in an account at a fixed Interest rate, compounded continuously. Suppose also that, after two and a half years, the amount of money in the account is $3098. Find the Interest rate per year. Write your answer as a percentage. Do not round any intermediate computations, and round your percentage to the nearest hundredth.

A restaurant offers a $12 dinner special that has 6 choices for an appetizer, 12 choices for an entrée, and 3 choices for a dessert. How many different meals are available when you select an appetizer, an entrée, and a dessert? A meal can be chosen in ways. (Type a whole number.)

Suppose that $6000 is placed in a savings account at an annual rate of 3%, compounded monthly. Assuming that no withdrawals are made, how long will it take for the account to grow to $7110? Do not round any intermediate computations, and round your answer to the nearest hundredth.

A gas that exerts a pressure of 6.20 atm in a container with a volume mL will exert a pressure of of 9.150 atm when transferred to a "container with a volume of 322 mL.

What is the volume of a sphere with a radius of 8 m, rounded to the nearest tenth of a cubic meter?

When Xavier runs the 400 meter dash, his finishing times are normally distributed with a mean of 61 seconds and a standard deviation of 0.5 seconds. If Xavier were to run 34 practice trials of the 400 meter dash, how many of those trials would be slower than 62 seconds, to the nearest whole number?

How long will it take for a $2000 Investment to grow to $3070 at an annual rate of 6.4%, compounded quarterly? Assume that no withdrawals are made. Do not round any Intermediate computations, and round your answer to the nearest hundredth.

You have been asked to convert a pressure FROM atm TO psi. Which conversion factor would you use? 14.7 psi/1 atm 1 atm/14.7 psi

Consider a function f(x) = x². A second function h(x) is the result of reflecting f(x) across the x axis and translating it 3 units in the positive y-direction (upward). Write the equation of h(x).

What is the diameter of a hemisphere with a volume of 74466 cm³, to the nearest tenth of a centimeter? Answer: cm

Artie needs to save $450 to buy the new bicycle that he wants. He currently has $300. What percent of the cost of a new bicycle has he saved? Claire decides to solve this problem by setting up a proportion. What should her proportion look like? A) 300/100 = X/450 B) x/100 = 300/450 C) x/100 = 450/300 D) 450/100 = x/300

The number of frogs (f) in the pond is proportional to the number of salamanders (s) placed in the pond. Suppose there are 10 frogs for each salamander. Which equation represents the total number of frogs in the pond? s=10f f=10s f = 10/s s=f+10

The circumference of a circle with a radius of 5.8 inches is ?in. Use 3.14 for pi. (Round to the nearest hundredth).

A farmer who only sells produce to local residents in his town wishes to expand to a neighboring city. The farmer calls everyone in the phone book with a last name starting with "S" in the neighboring city and asks them if they would be interested in buying the produce. 242 told the farmer that they would be interested, 576 said they would not be interested and 138 refused to answer Which statement is true? The survey sample is residents of the neighboring city with a last name starting with "S" and whose phone number is listed in the phone book. The survey sample includes current customers. The population of the survey is the 242 that said they would be interested. The population of the survey is all residents of the neighboring city whose phone number is listed.

The floor area of a furniture storeroom is 500 square yards. One sofa requires 3 square yards and one dining table requires 4 square yards of space. The room can hold a maximum of 150 pieces of furniture. Let s represent the number of sofas and t represent the number of tables. Write a system of inequalities to represent the number of pieces of furniture that can be placed in the storeroom.

# 18. Which of the following is a property of a parallelogram? A The diagonals are congruent. C The diagonals bisect the angles. B The diagonals bisect each other. D The diagonals are perpendicular.

The equation 4 = 1300(1.02) is being used to calculate the amount of money in a savings account. What does 1.02 represent in this equation? 1) 0.02% decay 2) 0.02% growth 3) 2% decay 4) 2% growth

Is it ethical for a news blogger to construct a graph that exaggerates the negative effects of logging on the environment? Yes, the environment is important to everyone. Yes, it is important to make sure that people understand the negative effects of logging. No, it is not important if people understand the negative effects of logging. No, results should be presented in a fair and objective manner.

You kick a football at an angle of 55° with an initial speed of 63 feet per second. Estimate to the nearest foot, the horizontal distnace traveled by the football. d = v2/32 sin 2θ.

#35. Find the measure of the angle of elevation of the Sun when a pole 32 feet tall casts a shadow that is 53 feet long. (Hint: Draw and Label a right triangle) A 37.14 B 58.88 C 31.12 D 52.86

There is a circular track that surrounds a patch of grass. The radius from the grass to the track is 23 feet. How many feet long is the track? Your answer should be a number only. Use 3.14 for pi. Round your answer to the nearest hundredth.

You want to put edging around your above ground rectangular pool. The dimensions of the pool are 22 ft. by 27 ft. How many feet of edging do you need to purchase to surround the pool? Your answer should be a number only.

Jose' holds a rock 1m above the ground. The rock has 100J of PE and 0 KE while she holds the rock. Which of the following is true if Becky drops the rock? * Electrical Energy It's impossible to tell without knowing the rock's mass. The rock will have OJ of PE and 100J of KE right before it hits the ground. a

Johnny can build 3 1/2 lego planes in 60 minutes. How many can he build in 40 minutes?

A telecommunications company is building a third cell tower in a region with existing towers located at A(-2,-3) and B(5,-3). Each unit in the coordinate plane represents 0.6 mile. They ask you to determine the location of the third tower so that the triangle formed by the three cell towers has an area of about 10.1 square miles and a perimeter of about 15 miles, and the distance from the third tower to tower A is about 6 miles. Estimate the coordinates of the third tower to the nearest integer.

Write a rule for g that represents the indicated transformations of the graph of f g (z) = A tan B (x - C) + D ƒ(x) = 1/6 tan (x): Translation 6 units down, 4 units left, then reflected over the line y = -6

A swimming pool is being filled at the rate of 12 cubic yards per minute. If the pool is 18 yards long, 10 yards wide, and 3 yards deep, how many minutes will it take to fill the pool? 540 minutes 101 minutes 1,233 minutes 45 minutes