Math Questions

If Point B is 10 units away from the center of Circle A, which has a radius of 6 units, and a tangent line is drawn from Point B to the circle, what is the distance from Point B to the point of tangency?

Simplify 7!/3!(7-3)! 22 12 0.58 35

Find the value of the expression (b + 3) (b2-5b + 7) when b = -3. 150 100 0

A store owner has these assets: Cash, $4,760; Merchandise Inventory, $78,200; Equipment, $25,600; Supplies, $1,240. One bill of $15,070 and another bill of $7,213 are owed. How much is the owner's capital?

On a map, the distance between two cities is 2.4 inches. The two cities are actually 768 miles apart. On this same map, what would be the distance between two cities in miles that are 4.8 inches apart on the map? A. 1536 miles B. 1600 miles C. 1443 miles D. 1564 miles

Donna bought a candy bar for $1.50. She paid with nickels and dimes. She used 21 coins in all. How many nickels (n) and how many dimes (d) did she use? n+d=21 .05n+.10d=1.50

On a world globe, the distance between City A and City B, two cities that are actually 10,900 kilometers apart, is 12.7 inches. The actual distance between City C and City D is 1600 kilometers. How far apart are City C and City D on this globe? City C and City D are inches apart on this globe. (Type an integer or decimal rounded to the nearest tenth as needed.)

Find the value of the expression 2x³-5xy + 2y when x = 2 and y = 3. -8 48 52

Find the 5th term in the expansion of (x+3). 1265x 2835x³ 945x² 2835x² 20 pts

Jeanne has $12.50 in her bag. How much money does she need to buy a game that costs $72.60? $60.10 $84.10 $85.10

A machine fills soda bottles according to a normal distribution with a mean of 590 milliliters and a standard deviation of 5 milliliters. If the machine fills 500 soda bottles, how many would be expected to have between 580 and 600 milliliters of soda? 340 590 475 499

onsider the following function. f(x) = x³ 3x² - 2x + 6 (a) Use the zero or root feature of a graphing utility to approximate the zeros of the function accurate to three decimal places. (Enter your answers as a comma-separated list.) X = (b) Determine the exact value of one of the zeros. X = (c) Use synthetic division to verify your result from part (b), and then factor the polynomial completely. f(x)=

4.75x = 25. Solve for x. x=10/19 x = 25/6 x =100/19

Solve the triangle if possible. a=7 c = 12 B =98.3°

Pamela sets aside $100 per month during her 40 year career. She invests in the US stock market through an index fund that in 40 years. averages a 7% return over this 40 year period. Her retirement account will be worth $ How much of the total did Pamela contribute herself? $ How much money did Pamela make through compounded returns in this investment account? $

Jan Ruell invested $32,000 in a business. She was to receive 5% on her original investment and share equally in any remaining net income. Her share of the remaining net income last year was $10,130. What were her total earnings for the year?

The sales tax rate in Fort Worth, Texas, is 8.25%. Find the tax charged on a purchase of $26.39. The tax charged on the $26.39 purchase is $ (Simplify your answer. Type an integer or a decimal. Round to the nearest cent if needed.)

A basketball player has a 62% chance of making each free throw. What is the probability that the player makes exactly four out of six free throws? 66% 1.86% 22% 32%

Larkin and Mazern are partners. Their investments are $50,000 and $30,000, respectively. They share income in proportion to their investments. The net income last year was $53,600. What amount did Larkin receive?

A cylinder-shaped container is used to store water. The container has a height of 6 feet and a diameter of 3 feet. About how much water is in the container when it is 3/4 full? A. 42 cubic feet B. 32 cubic feet C. 127 cubic feet D. 14 cubic feet

Simplify the expression: 6ac + 2a(b + c). 2 ac-8 ab 8 ac + 2 ab 2 ac+8 ab

Find a possible formula for the polynomials with the given properties: f is third degree with f(-5) = 0, f(2)= 0, f(6) = 0 and f(3) = 5. f(x) =

An expression 19.95 + 0.05x is given and the value of x is given as 50. Find the value of the expression. 24.51 32.46 22.45

The population of a town t years after the beginning of the year 2000 is given by P(t)= 6020 e 0.025t. Find the AVERAGE population of the town from the beginning of the year 2002 to the beginning of the year 2009. ROUND YOUR ANSWER TO THE NEAREST PERSON. The average population was

A customer can pick a meat, a vegetable, and a potato for a meal at a restaurant. The choices for each are listed below. Meat: fish, chicken, or beef Vegetable: broccoli or corn Potato: mashed or baked How many different meals can be chosen?

The expression 1.5 1.09 models the housing costs, in thousands of dollars, for summer term t years since Chinedu applied to his college. What does 1.09 represent in this expression? Choose 1 answer: Chinedu applied to his school 9 years ago. The summer housing costs were $1,090 the year that Chinedu applied to his college. The summer housing costs increase by 9% each year. Show Calculator

What is the factored form of m² - 6m + 8? (m-4)(m - 2) (m-4)(m + 4) (m-4)(m + 2)

Bob throws a ball straight up with an initial speed of 52 feet per second from a height of 7 feet. (a) Find parametric equations that describe the motion of the ball as a function of time. (b) How long is the ball in the air? (c) When is the ball at its maximum height? Determine the maximum height of the ball. (d) Simulate the motion of the ball by graphing the equations found in part (a). Assume Bob stands at horizontal position 0, and use g = 32 ft/sec/sec.

Find the numerical value of the expression if x = 5. 7x - 19/3x

Simplify: m²-9m/m-6+ 18/m-6 m-3 m²-9 m+ 18/m-6 m+3

The Afton Star charges $35 per column-inch for advertising. You want to place an ad that is 3 columns wide and 5 inches deep. Find the total cost for a 5-day advertising campaign. Thein investments are $50.000 and

Find the value of the expression (x²-4)/3 x when x = 5. 1.4 1.0 1.1

Solve the triangle. a = 8.387 in c= 6.216 in B=79.62°

Current Attempt in Progress Lazurus Steel Corporation produces iron rods that are supposed to be 36 inches long. The machine that makes these rods does not produce each rod exactly 36 inches long. The lengths of the rods are normally distributed and vary slightly. It is known that when the machine is working properly, the mean length of the rods is 36 inches. The standard deviation of the lengths of all rods produced on this machine is always equal to 0.035 inch. The quality control department at the company takes a sample of 20 such rods every week = 36 inches, against the alternative hypothesis," # 36 calculates the mean length of these rods, and tests the null hypothesis." inches. If the null hypothesis is rejected, the machine is stopped and adjusted. A recent sample of 20 rods produced a mean length of 36.015 inches. Calculate the p-value for this test of hypothesis. Based on this p-value, will the quality control inspector decide to stop the machine and adjust it if he chooses the maximum probability of a Type I error to be 0.01? Use the normal distribution table. Round your answer to four decimal places. p-value = i

Which statement is true about the x-intercepts of the parent sine function? The sine function has x intercepts at - and since the unit circle has y values equal to 1 at those angles. The sine function has x intercepts at and since the unit circle has x values equal to 0 at those angles. The sine function has x intercepts at and since the unit circle has y values equal to 1 at those angles. The sine function has x intercepts at 0 and π since the unit circle has y values equal to 0 at those angles.

Find the value of the expression 6x^4 + 5x³+4x² + 6x - 5 when x = ½. 0 -10 10

Tom has a credit card with an APR of 24.95% and a current balance of $13,650.35. He wants to pay it off in 3 years. What will Tom's monthly payment be? (Remember a credit card is compounded monthly.) Round to the nearest dollar.

A 75-gallon tank initially holds 35 gallons of salt water containing 6 pounds of salt. Suppose salt water containing 5 pounds of salt per gallon is pumped into the top of the tank at the rate of 8 gallons per minute, while a well-mixed solution leaves the bottom of the tank at a rate of 4 gallons per minute. Let S(t) represent the number of pounds of salt in the vat after t minutes. (A) Write the DE model for the time rate of change of salt in the vat. Also include the initial condition. dS/ dt= S(O)= (B) Solve the initial value problem to find the amount of salt in the vat as a function of time. S(t)= (C) How much salt is in the tank when the tank is full? pounds.

Which of the following are one-to-one functions? X= {(7, 8), ( – 1,9), ( – 4, 4), (0, – 1), (5, — 3), (4, 7)} M = {( − 1, — 3), (1, 3), (1, 4), (6, 9), (8, — 6), (15, 14)} A= {(2, — 5), (3, 2), (6, 4), (9, 7), (12, 11), (16, 15)} N = {(-5, — 3), (0, 0), (2, 3), (6, 4), (7, 8), (15, 11)} G = {(4,0), (2, 0), (0, 2), (6, 1), ( − 1, 2), (10, 2)}

On a test of 78 items, Pedro got 93% correct. (There was partial credit on some items.) How many items did he get correct? incorrect? Pedro got___items correct. (Type a whole number or decimal rounded to two decimal places as needed.)

Consider the following equation of an ellipse. 9x² + 49y² +90x+ 392y + 568 = 0 Step 1 of 4: Rewrite this equation in the standard form of an ellipse. Answer

When the Dragons have lost their most recent game, fans buy 200 tickets. For each consecutive win the Dragons have, the number of tickets fans buy increases by a factor of 1.1. Which expression gives the number of tickets fans buy after 4 consecutive wins? Choose 1 answer: 200 1.1 1.1 1.1.1.1 200 (1.1+1.1+1.1+1.1) 200+1.1 1.1.1.1.1.1 200+1.1+1.1+1.1+1.1

A manufacturing plant earned $80 per man-hour of labor when it opened. Each year, the plant earns an additional 5% per man-hour. Write a function that gives the amount A(t) that the plant earns per man-hour t years after it opens. A(t) =

Consider the following equation of an ellipse. (x+2)^2 /9 + (y-1)^2 /81 =1 Find the center of this ellipse. Answer Enter the coordinates to plot points on the graph. center:

Given f(x) = x² - 2x - 3 a. Evaluate f(-3). b. Find the vertex of the parabola. c. Determine the x- and y-intercepts. Write the intercepts as ordered pairs. d. Sketch the graph. Label the vertex and intercepts.

Which statement is true about the period of the parent sine function? The period is because that is one full cycle of the graph. The period is 2π because that is one full cycle of the graph. The period is 27 because that is two full cycles of the graph. The period is because from 0 to it is half of a full cycle.

Use the compound interest formulas A = P(1 + r/n) ^nt and A= Pe^rt to solve. Find the accumulated value of an investment of $4000 at 12% compounded continuously for 8 years. $10,161.41 $10,397.09 $10,446.79 $10,435.24

Suppose a bank offers you a 10% interest rate on a 20-year mortgage to be paid back with monthly payments. Suppose the most you can afford to pay in monthly payments is $700. How much of a mortgage could you afford? $72,537.23 $75,732.25 $76,237.53 $76,375.32

The distance from Springfield to Franklin is 395 miles. To find the time it will take for a train to trave from Springfield to Franklin, use the expression d/s, where d represents distance and s represents speed. Find the time if the train travels at a speed of 79 miles per hour. 4 hours 5 hours 3 hours

To get full credit for the application problems, you must define a variable, write and solve an equation (or system of equations), and write a sentence answer. One pump can fill a tank in 45 minutes and another pump can fill the same tank in 30 minutes. How long would it take to fill the tank using both pumps? (5 points)