Math Questions

Two fishermen go ice fishing one morning. By noon, Fisherman Bob has 6 fish and is catching 2 fish per hour. Fisherman Bill has 4 fish and is catching 3 fish per hour. Assume they will continue catching fish at the same rate. 1. Write a system of equations that relates the time to the total fish caught. 2. Algebraically solve the system of equations. At what time will they have the same number of fish?

When the pressure that a gas exerts on a sealed container changes from 53.0 bar to 35.2 bar, the temperature changes from .... °C to 12.0°C.

Identify the type of observational study described. A researcher plans to obtain survival rate data for patients whose cancer has gone into remission by following them for the next five years. prospective retrospective cross-sectional

Suppose a new car that costs $25,000 depreciates by 12% each year. In about how many years will the car be worth $15,000? Use the equation 15,000 = (25,000)(0.88)^x and round the value of x to the nearest year. 7 4 5 6

Select the correct labeling of a, b, and c to the standard form of the quadratic equation. a = 4, b = -2, and c = 7 4x² + 5x - 2 = 0 x² + 2x-5 = 0 x²-5=0 4x² - 2x +7=0 x² + 2x = 0

Sarah purchased a manufacturing machine worth $30,000 for her factory. The value of the machine decreases every year by $1,250. Which explicit equation represents the value, v, of the machine t years after the purchase? v = 30,000t - 1,250 v = 30,000 -1,250t v = 30,000 -1,250-t v = 30,000 -1,250+t

The first term in a sequence is -18, and each term after the first is 4 times the preceding term, Which of the following recursive functions defines the sequence described above? A. f(1) = -18 f(n)=4f(n-1),n> 1 B.f(1) = -18 f(n)=4+ f(n-1),n> 1 C.f(1) = -18 f(n)=4f(n+1),n> 1 D.f(1) = -18 f(n)=4+ f(n+1),n> 1

Solve, using a proportion. If Joe travels 434 miles in 7 hours, how far will he travel in 10 hours at the same speed? ..... miles

Solve, using a proportion. If 4 quarts fill 16 cups, then 6 quarts will fill .... cups.

Mike pays $20 per hour for algebra tutoring. The equation y=20x relates the cost of tutoring (y) to the number of hours (x) he is tutored. Identify the unit rate in the equation. x y 20 20x

When the volume of a gas is changed from 11.5 cm³ to ...... cm3, the temperature will change from 415.0 K to 200.0 K.

Colton has a bag that contains orange chews, lemon chews, and peach chews. He performs an experiment. Colton randomly removes a chew from the bag, records the result, and returns the chew to the bag. Colton performs the experiment 49 times. The results are shown below: A orange chew was selected 18 times. A lemon chew was selected 6 times. A peach chew was selected 25 times. Based on these results, express the probability that the next chew Colton removes from the bag will be orange or lemon as a decimal to the nearest hundredth.

Draw the polygon whose vertices are (3, 1), (3, 7), (-2, 3), and (-2, -3). Then choose the best description of the polygon from the choices below. Triangle Rectangle Parallelogram None of these

A gas that exerts a pressure of 14 bar in a container with a volume of 312 mL will exert a pressure of ........ when transferred to a container with a volume of 652 mL. bar

Tammy deposited $3000 into an account with a 5.6% annual interest rate, compounded semiannually. Assuming that no withdrawals are made, how long will it take for the Investment to grow to $45397 Do not round any intermediate computations, and round your answer to the nearest hundredth.

1. What type of action do progressive verbs show? A. Continuous B. Future C. Present perfect D. Singular

For the given function, state the amplitude and the minimum output for the function: f(t)= 3cos (t+π/6) The amplitude is 3 and the minimum output value is y=-3. The amplitude is 3 and the minimum output value is y=-π/6 The amplitude is π/6 and the minimum output value is y=-3 The amplitude is π/6 and the minimum output value is y=-π/6

Identify the problem with the following study. It was found that a third of all people in the United States live in urban centers. This finding is based on a study involving 3 randomly selected individuals. missing data loaded question reported results small sample

Kyndal wants to buy a lamp that originally cost $82, but went on sale for 20% off. The store is having an additional sale that is 40% off the sale price. What is the price of the lamp?

Sydney described a ruler as a length of plastic that starts at 0 and continues on to 12 inches. The geometric term that best describes Sydney's description is a

Ruby has a bag that contains orange chews, cherry chews, and lime chews. She performs an experiment. Ruby randomly removes a chew from the bag, records the result, and returns the chew to the bag. Ruby performs the experiment 42 times. The results are shown below: A orange chew was selected 4 times. A cherry chew was selected 13 times. A lime chew was selected 25 times. Based on these results, express the probability that the next chew Ruby removes from the bag will be orange or lime as a fraction in simplest form.

A radioactive substance decays according to the following function, where yo is the initial amount present, and y is the amount present at time t (in days). y= y0e^-0.092t Find the half-life of this substance. Do not round any intermediate computations, and round your answer to the nearest tenth.

A bag contains six balls labeled 1 through 6. One ball will be randomly picked. What is the probability of picking a multiple of 3? Write your answer as a fraction in simplest form.

Use the Change of Base Formula to evaluate logs 92. Then convert logs 92 to a logarithm in base 3. Round to the nearest thousandth. 4.522; log3 21.903 2.810; log3 55.2 1.964; log3 55.2 2.810; log; 21.903

The variables x and y. and y vary inversely, and y = 10 when z = 5. Write an equation that relates x and y. y = k/x Then find y when x = -2

The following is given in recursive form. a1=8 an=2a-1 +5, for n ≥ 2 What is the value of the third term of this sequence? Type your answer into the box below.

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.