Basic Math Questions and Answers

Solve for y, where y is a real number. 3√y=-3

As the 17th century wore on, regional differences continued to crystalize, most notably the continuing rigidity of Puritanism. the use of indentured servants. the importance of slave labor in the South. loyalty to England. the breaking of the Atlanta economy.

Write p2. p without exponents. p2.p= Fill in the blank. p2.p=

Solve for v, where v is a real number. 4√v=-4

Solve for w, where w is a real number. w1/4 = -2 If there is more than one solution, separate them with commas. If there is no solution, click on "No solution". W =

What are the degree and leading coefficient of the polynomial? -y6+18y² +20+5y

Suppose that you have $6500 to invest, and you invest x dollars at 12% and the remainder at 8%. Write expressions in x that represent the following values. (a) the amount invested at 8% (b) the interest earned on the x dollars at 12% (c) the interest earned on the money invested at 8% (d) the total interest earned

Graph the solution to the inequality on the number line. |w| > 2

Diane bought new headphones originally listed for $70.99. They are 25% off. Which equation can be used to find the amount Diane will save? Choose one 5 points x = .25(70.99) x = 1.25 (70.99) x = 25 (70.99) x = .75(70.99)

Find the midpoint of the line segment with endpoints (4, -2) and (8,-6).

Your grade in the class consists of 2 midterms 15% each, homework 10%, projects 5%, attendance 10%, and final 30%. Find the weighted mean if your scores are as follows in the class. Midterm 1:85 Midterm 2:90 Final: 80 Homework: 95 Project: 100 Attendace: 75 What is the sum of the weights that is find w=?

"There are up to five cookies left." Let c = the number of cookies left c>5 c<5 c≥5 c≤5 c-5

Life expectancy in a country can be approximated with the equation L = 28x0.24 where x is the number of years that the birth year is past 1900. (a) Express this equation with radical notation. L = (b) Use the equation to estimate the life expectancy for a person born in 2019. (Round your answer to one decimal place.)

Solve for y, where y is a real number. y 1/4=3

Solvex=63, where x is a real number. Simplify your answer as much as possible.

Identify the set of values x for which y will be a real number. y=√x-18

Choose the correct translation of the following into symbolic algebra: "five cookies less than the number of cookies left" Let c = the number of cookies left O c>5 Oc<5 O c25 O cs5 O c-5

2 The area of a rectangle is 21 ft², and the length of the rectangle is 1 ft less than double the width. Find the dimensions of the rectangle.

The year that you enter college, your freshman class consists of 760 students. According to statistical studies, about of these students will actually graduate. Approximately how many of 7 your classmates will receive their degrees?

Carry out the indicated operation and give your answer with the specified number of significant digits. 43 x 32.1; 3 significant digits 43 x 32.1≈ (Simplify your answer.)

Solve (w-5)³-48 = 0 where w is a real number. WZL-

2 What are the first two steps to graph y=x+4? What is the first step? A. Plot the point (4,0). Plot the point (0,4). B. OC. Plot the point (3,2). OD. Plot the point (2,3). What is the next step? O A. From this point, move 2 units up (the rise) and 3 units to the right (the run). OB. From this point, move 3 units down (the rise) and 2 units to the left (the run). 2 OC. From this point, move 4 units up (the rise) and units to the right (the run). 3 OD. From this point, move 3 units up (the rise) and 2 units to the right (the run).

Solve for u, where u is a real number. 3=√√2u+15 If there is more than one solution, separate them with commas. If there is no solution, click on "No solution".

A rental truck costs $45.45 for a day plus 74¢ per mile. (a) If x is the number of miles driven, write an expression for the total cost C, in dollars, of renting the truck for a day. C = X (b) Find the.total.cost of the rental if it was driven 194 miles. C = $ * Enter a number.

Give the slope and y-intercept of the line whose equation is given. Then graph the linear function. 3 f(x) = 5x-7 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The slope is ***** (Simplify your answer. Type an integer or a fraction.) OB. The slope is undefined.

A silver dollar is dropped from the top of a building that is 1346 feet tall. Use the position function below for free-falling objects. s(t) = -16t² + vt + so (a) Determine the position and velocity functions for the coin. s(t) = -161² 1346 v(t) = -32t (b) Determine the average velocity on the interval [1, 2]. -48 ft/s (c) Find the instantaneous velocities when t = 1 second and t = 2 seconds. v(1) = -32 ft/s V(2) = ft/s -64 (d) Find the time required for the coin to reach the ground level. (Round your answer to three decimal places.) t = 9.17 S (e) Find the velocity of the coin at impact. (Round your answer to three decimal places.) 9.147 ft/s

Solve (w+7)²-36 = 0, where w is a real number. Simplify your answer as much as possible. If there is more than one solution, separate them with commas. If there is no solution, click "No solution."

Translate the sentence into an inequality. The difference of twice a number and 10 is greater than or equal to -29. Use the variable b for the unknown number.

The length of a rectangle is 9 yd more than twice the width x. The area is 396 yd². Part 1 of 3 (a) Write an equation in terms of x that represents the given relationship. The equation is xx + 9x (yd) = 396(yd) Part: 1/3 Part 2 of 3 ☐=0 The width is X (b) Solve the equation to find the dimensions of the given shape. yd.

Select the answer that best completes the given statement. The graph of the equation x= 1 is a/an line. standard horizontal undefined vertical regression

Solve your equation in the previous step for y. y = 20- 60-x 3 X P(x) = 3 Step 3 The product P of the two numbers is xy. Use your result from the previous step to write the product as a function of x only. 60x-x² 3 (60-x)x Step 4 Rewrite P(x) by completing the square. P(x) = -1/3 ✔ -1/3 (x-30 30 X )² + 300✔✔ 300) Step 5 Use your result from the previous step to complete the following statements. The maximum value of the product, occurring at the vertex of the graph of P(x), is X. This maximum occurs when x = 30 , and y = Therefore, what are the two numbers? (Enter your answers as a comma-separated list.) 4 X.

Solve for x, where x is a real number. -3 = √2x+6-1 If there is more than one solution, separate them with commas. If there is no solution, click on "No solution".

Use a graphing utility to graph the function and find the absolute extrema of the function on the given interval. (If an answer c not exist, enter DNE.) f(x) = minimum maximum 5 x - 2 (x, y) = (x, y) = (2,7]

Translate the sentence into an inequality. Two times the sum of a number and 16 is at least -21. Use the variable w for the unknown number.

The growth of a company can be described by the equation N = 700(0.06)0.st where t is the number of years the company has been in existence and N is the number of employees. (a) What is the number of employees when t = 0? (This is the number of employees the company has when it starts.) N = employees (b) What is the number of employees when t = 8? (Round your answer to the nearest whole number.) N = employees

You need a 85% alcohol solution. On hand, you have a 65 mL of a 30% alcohol mixture. You also have 90% alcohol mixture. How much of the 90% mixture will you need to add to obtain the desired solution?

A company reimburses its sales representatives $150 per day for lodging and meals plus 37¢ per mile driven. Write a linear equation giving the daily cost C to the company in terms of x, the number of miles driven. How much does it cost the company if a sales representative drives 221 miles on a given day? $ 231.77

2 Solvex -50, where x is a real number. Simplify your answer as much as possible. If there is more than one solution, separate them with commas. If there is no solution, click "No solution." -5√2 x = 5 0.0.... X 08 0/6 Ś No solution ?

Solve for u, where u is a real number. √√u=2 If there is more than one solution, separate them with commas. If there is no solution, click on "No solution".

What operation on both sides of the equation isolates the variable on one side? Give the solution of the equation. 3x = 2x - 10 Enter the exact answer.

Solve for w, where w is a real number. w = -3

2 Solve x =96, where x is a real number.

If x= -5 and y = -9, evaluate the expression. 6x²-5y² Select the correct choice below and fill in any answer boxes within your choice. A. The answer is (Type an integer or a simplified fraction.) B. The expression is undefined.

Solve for y, where y is a real number. √√/y=-4

The length of a rectangle is 6 yd longer than its width. If the perimeter of the rectangle is 44 yd, find its area. 8 08 2 0yd²

Answer the following questions using the information given. The length of a small ant is 3-10-3 meter and the length of a large ant is 3.5-10-² meter. a.) Find the difference in length, in millimeters, of the two ants. Write your answer in scientific notation. millimeters. b.) If there is a trail of 2 small ants and 1 large ant in a straight line, find the total length of the line. Write your answer in scientific notation. meters.

Use the quadratic formula to solve for x. 2x²+x-9=0 (If there is more than one solution, separate them with commas.) x = -1+√2-1-√2 VE 0/6 09 00 X S ?

Evaluate the expression u²+² (u-v)² given that u = - - 5 and v = 4. u² + v² - (u - v)² = Jua I

The solution to the equation depends on the constant a. Assuming a is positive, what is the effect of increasing a on the value of the solution? Does it increase, decrease, or remain unchanged? O The value of the solution increases. O The value of the solution decreases. O The value of the solution remains unchanged. x-a=0

Assume that movie tickets cost p dollars for adults and q dollars for children. Write expressions for the total cost of tickets for: (a) 4 adults and 6 kids total cost (b) No adults and 7 kids total cost = (c) No kids and 8 adults total cost = (d) A adults and C kids total cost =