Basic Math Questions and Answers

For states that cover a particular region, the average poverty rate in 2013 was 12.84% with a standard deviation of 1.54%. A second source found that for these states, the average poverty rate in 2013 was 13.66% with a standard deviation of 3.31%. Which set of data has more relative variability? What is the coefficient of variation for the first data set? CV = % (Round to one decimal place as needed.) What is the coefficient of variation for the second data set? CV= % (Round to one decimal place as needed.)

An alligator's tail length is proportional to its body length. An alligator with a body length of 4.6 feet has a tail length of 5.1 feet. What is the tail length of an alligator whose body length is 8.4 feet? Complete the proportion below, where the ratios are tail length to body length. x/ = (Do not simplify.) .... The tail length of an alligator whose body length is 8.4 feet is approximately feet. (Round to two decimal places as needed.)

How many ways can a student pick five questions from an exam containing nine questions? There are ways to pick five questions from an exam containing nine questions. Part 2 of 2 How many ways are there if he is required to answer the first question and the last question? There areways if he is required to answer the first question and the last question.

Let the graph of g be a translation 2 units to the left and 6 units up of the graph of f(x)=(x-4)² - 4. Identify the vertex of the graph of 9. a(-2,2) b(6,2) c(2, 2) d(2,6)

A bus travels two different routes: the Green Route and the Blue Route. The routes are diferent lengths. . On Monday the bus traveled the Green Route 6 times and the Blue Route 5 times, traveling a total of 52 miles. On Tuesday the bus traveled the Green Route 12 times and the Blue Route 13 times, traveling a total of 119 miles. What is the length of the Green Route in miles? O F 4.4 mi H 6.4 mi G 4.5 mi • ) 6.8 mi

Divide the following rational expression and state the restrictions on the variable: I²-25 4x = x+5 81² O 2x(x - 5), x = 0 O 2x(x - 5), no restrictions O 2x(x - 5), x = -5,0,5 O 2x(x - 5), x = -5,0

In Exercises 50-160, find the focus and directrix of the parabola with the given equation. Then graph the parabola. 5. y² = 16x 6. y² = 4x 7. y² = -8x 8. y² = -12x 9. x² = 12y 10. x² = 8y 11. x² = -16y 12. x² = -20y

Solve the following expression when k = 12 and v= 6 V + 5 - 4v + 12

Rocket League Incorporated finds that the cost of producing a rocket cars costs C(x) = 200x + 1500. The revenue function is R(x) 500x 5x2, where R is the revenue (in dollars) at which exactly a rocket cars will be sold. Find the quantity Rocket League should produce to maximize profit. Also find the maximum profit. (Recall Profit= Revenue - Cost)

A clerk's weekly salary varies directly with the number of hours he works. For 12 hours of work, the clerk earns $114 How much will he earn for 19 hours of work? The steps to solve this problem were written on note cards below, but they got mixed up.

Your friend states that quadratic functions with the same x-intercepts have the same equations, vertex, and axis of symmetry. Is your friend correct? Explain your reasoning. (2 points)

Solve the following inequality for n. Write your answer in simplest form. n 13 6n −(n+1) < 3n −2+5n Submit Answer

Determine the remaining sides and angles of the triangle ABC. a = 150 m, A = 33° 54', C = 24° 34' What is the measure of angle B? B = 121 32 What is the length of side b? b= m (Do not round until the final answer. Then round to the nearest meter as needed.)

A bag contains 1 gold marbles, 6 silver marbles, and 24 black marbles. Someone offers to play this game: You randomly select one marble from the bag. If it is gold, you win $4. If it is silver, you win $3. If it is black, you lose $1. What is your expected value if you play this game? S

Considering only the values of 3 for which sec 3(1 + cos 6) (1 - cos 3) is defined, which of the following expressions is equivalent to sec 3(1 + cos 6) (1 - cos 3)? Select the correct answer below: 0 1 O sec ßtan B O cos B O sec B O sin ßtan B

You have 550-grams of an an unknown radioactive substance that has been determined to decay according to D(t) = 550e-0.006359-t where t is in years. How long before half of the initial amount has decayed? It will take amount to decay. (Round to 1 decimal place) years for half of the initial

Solve the following for 0, in radians, where 0 ≤ 0 < 2T. Enter your answers in radians, rounded to two decimal places. Provide your answer below: 0 = = -4 sin² (0)-7 sin(0)+7= 0 and 0 =

Karen Gaines invested $12,000 in a money market account with an interest rate of 3.25% compounded semiannually. Six years later, Karen withdrew the full amount to put toward the down payment on a new house. How much did Karen withdraw from the account? Karen withdrew $ (Round to the nearest cent as needed.)

The Mendez family is going to see a play. Adult tickets cost $9 and children's tickets cost $6. There are 6 people in the family, and they spend a total of $48 on tickets. Which system of equations can be solved to determine a, the number of adult tickets, and c, the number of children's tickets?

A youth sports league held various fundraisers. They received $320 from a car wash, $209 from a bake sale, and $554 from a used equipment sale. The league decides to invest this money in a 5 year CD that pays 2.5% interest compounded daily. How much will the league receive from the CD in 5 years? The league will have $ in this account after 5 years. (Round to the nearest cent as needed.)

A simple formula can help you estimate the number of years required to double your money. It's called the rule of 72. You simply divide 72 by the interest rate (without the percent sign). For example, with an interest rate of 4%, your money would double in approximately 72+4, or 18 years. Complete parts (a) through (e). a) How many years would it take $1000 to double at an interest rate of 2%? years

You mix soda water, fruit punch concentrate, and ginger ale in the ratio of 1: 2:5 to make fruit punch. How many pints of each ingredient should you use to make 4 gallons of fruit punch?

Find the number of distinguishable permutations of the given letters "AAABBBCD". Your answer is:

Which function represents the widest parabola? a y = -x² +6 b y=x²-5 c y = 0.5(x - 1)² + 1 d y = 2(x+3)²

In a certain city the temperature (in °F) t hours after 9 AM was modeled by the function 7(t) = 53-2.8t+ 0.43t2 -0.018³. Find the average temperature during the period from 9 AM to 9 PM. (Round your answer to one decimal place.) X °F Submit Answer

A metal circular disk whose area is 143 cm² is used as a knockout on an electrical service in a factory. Use your calculator value of 7 to find the radius of the disk to the nearest tenth of a centimeter.

Complete the factored form. 12x²² +4x-5=(6x+5)( ) 12x² + 4x-5 = (6x+5))

Question 4 A tree is 8.5 feet high. A shrub is 2 feet high. If the tree is depicted as 3 inches in a scaled drawing, the shrub should be how many inches? O O 0.55 1.03 0.71 2.61

To help pay for new costumes for a play, a theater invests $1100 in a 42-month CD paying 2.5% interest compounded monthly. Determine the amount the theater will receive when it cashes in the CD after 42 months. The theater will receive $ when it cashes in the CD. (Round to the nearest cent as needed.)

Write the sentence as an equation. Let the variable x represent the number. 1 The quotient of 17 and a number is 6 ..... The given sentence written as an equation is (Type an equation using x as the variable. Use integers or fractions for any numbers in the equation.)

Trina's watering can is 10 inches tall. Felipe's watering can is 4 inches taller. How much taller than one foot is Felipe's watering can?

Grayson has 4 small photo albums and 6 large photo albums. Each small album can hold up to 112 photographs. Each large album can hold up to 184 photographs. How many photos can Grayson keep in the albums? Enter your answer in the box. photos

(1 point) If f(x) = sin(x4), find f'(x). Find ƒ'(2).

Simplify the complex rational expression and make sure to state the restrictions on the variable:

Solve the inequality -3 < 2x + 5 ≤ 13. -8 < x≤8 -4 < x < 4 -4 < x ≤ 4 0 1<x≤9

A pair of power functions having the same exponents but different coefficients is given. f(x) = (6x)² and g(x) = 62x² In the long run, which function in the pair dominates?

Repeat the following procedure for the four given numbers. Add 7. Double the result. Subtract 12. Divide by 2. Subtract the original selected number.

Solve for exact solutions over the interval [0,2π). cos 2x = 1/2 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is (Simplify your answer. Type an exact answer, using as needed. Use integers or fractions f answers as needed.) B. The solution set is Ø.

Let f(x) =4x²/2x - 9 (a) Find the vertical asymptote(s) of the graph of f(x). (b) Find the horizontal asymptote(s) of the graph of f(x). (c) Find the slant asymptote(s) of the graph of f(x).

Suppose an and bn are series with positive terms and b, is known to be convergent. (a) If an> b, for all n, what can you say about an? Why? we cannot say anything about an an diverges by the Comparison Test. an converges if and only if a ≤ 4b. an converges if and only if an ≤ 2bn. an converges by the Comparison Test. (b) If an < b for all n, what can you say about an? Why? an converges if and only if an converges if and only if n ≤an bn. Σan converges by the Comparison Test. an diverges by the Comparison Test. We cannot say anything about an

Brianni decided to ride her bike from her home to visit her friend Gabe. Three miles away from home, her bike got a flat tire and she had to walk the remaining two miles to Gabe's home. She could not repair the tire and had to walk all the way back home. How many more miles did Brianni walk than she rode?

Mark needs to cut a board to use for a project. The board is 12 feet long. He first has to cut off 24 feet from one end of the board. He then cuts the remaining section of board into 4 equal pieces. Which equation can be used to determine the the length of each equal piece?

You are taking a casual bike ride around your neighborhood. You cover 4 miles over the course of 35 minutes. If the radius of your bike's tires is 21.5 in, determine the number of revolutions per minute your tires experienced, on average, during your ride. Round your final answer to two decimal places.

Solve the following equation for on the interval [0, 2π). 3 csc (θ) + 5 = 0 Select all correct answers. Select all that apply: 1.795 0.499 3.785 5.640 3.044 4.756

An object is launched directly in the air at a speed of 32 feet per second from a platform located 8 feet in the air. The motion of the object can be modeled using the function f(t) = −16t² +32t + 8, where t is the time in seconds and f(t) is the height of the object. How long, in seconds, will the object be in the air before hitting the ground? Round your answer to the nearest hundredth of a second. Do not include units in your answer.

Solve for d. (d - 9) (d - 8) = 0 Write your answers as integers or as proper or improper fractions in simplest form.

Determine all solutions for the following equations. sec(θ) = -2/√3

You invested $5000 between two accounts paying 5% and 6% annual interest, respectively. If the total interest earned for the year was $290, how much was invested at each rate? $ was invested at 5% and $ was invested at 6%. FERRE

P Find the center, foci, and vertices of the ellipse. Graph the equation. 42 (x-5)²/64+ (y+6)²/25=1 Type the coordinates of the center of the ellipse in the boxes below. (h,k) = (0)

A new candle 24 centimeters tall burns at the rate of 5 centimeters per hour. 11. Write a formula for its height, h, after it has been burning t hours. Find the height of the candle after it has burned 3 hours. 12.