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2651.

Find the volume of a can of soup that has a height of 16cm and a radius of 5cm. Use 3.14 for pi.

Answer» Find the volume of a can of soup that has a height of 16cm and a radius of 5cm. Use 3.14 for pi.

Solution:

2652.

What is the value of x in the equation x - y = 30, when y = 15?

Answer» What is the value of x in the equation x - y = 30, when y = 15?

Solution:

2653.

Write the given expression in terms of x and y only. sin(sin-1 x + cos-1 y).

Answer» Write the given expression in terms of x and y only. sin(sin-1x + cos-1y).

Solution:

2654.

The volume of a fish tank is 40 cubic feet. If the density is 0.4 fish over feet cubed, how many fish are in the tank?

Answer» The volume of a fish tank is 40 cubic feet. If the density is 0.4 fish over feet cubed, how many fish are in the tank?

Solution:

2655.

Indicate the general rule for the arithmetic sequence with a3= -12 and a8= -37.

Answer» Indicate the general rule for the arithmetic sequence with a3= -12 and a8= -37.

Solution:

2656.

Use the rational root theorem to list all possible rational roots for the equation. x3+ 2x - 9 = 0.

Answer» Use the rational root theorem to list all possible rational roots for the equation. x3+ 2x - 9 = 0.

Solution:

2657.

For what values of m does the graph of y = 3x2 + 7x + m have two x-intercepts?

Answer» For what values of m does the graph of y = 3x2+ 7x + m have two x-intercepts?

Solution:

2658.

What is the solution of the system of equations? y = -4x + 10 and y = -2x -6

Answer» What is the solution of the system of equations? y = -4x + 10 and y = -2x – 6

Solution:

2659.

The density of a fish tank is 0.2 fish over feet cubed. There are 8 fish in the tank. What is the volume of the tank?

Answer» The density of a fish tank is 0.2 fish over feet cubed. There are 8 fish in the tank. What is the volume of the tank?

Solution:

2660.

What is the first step when rewriting y = 6x2 + 18x + 14 in the form y = a(x - h)2+ k?

Answer» What is the first step when rewriting y = 6x² + 18x + 14 in the form y = a(x - h)² + k?

Solution:

2661.

Solve Quadratic equations 2x2- x - 15 = x(x + 1)

Answer» Solve Quadratic equations 2x2- x - 15 = x(x + 1)

Solution:

2662.

Alton had $18.00 to spend on paints, which sold for $1.14 each. How many jars of paint can he buy?

Answer» Alton had $18.00 to spend on paints, which sold for $1.14 each. How many jars of paint can he buy?

Solution:

2663.

Solve for x: 3(x + 1) = -2(x - 1) - 4.

Answer» Solve for x: 3(x + 1) = -2(x - 1) - 4.

Solution:

2664.

How do you find the angle between u = and v = ?

Answer» How do you find the angle between u=<-1,9> and v=<3,12>?

Solution:

2665.

What value of x is in solution set of 3(x - 4) ≥ 5x + 2? -10,-5,5,1

Answer» What value of x is in solution set of 3(x - 4) ≥ 5x + 2?

Solution:

2666.

If f(x) = x2 + 2x + 3, what is the average rate of change of f(x) over the interval [-4, 6]?

Answer» If f(x) = x2+ 2x + 3, what is the average rate of change of f(x) over the interval [-4, 6]?

Solution:

2667.

If it takes 42 minutes to load 3 1/2 trucks how many minutes will it take to load 6 1/2 trucks?

Answer» If it takes 42 minutes to load 3½ trucks how many minutes will it take to load 6½ trucks?

Solution:

2668.

A fair coin is tossed until 100 heads appear. Find the probability that at least 226 tosses will be necessary.

Answer» A fair coin is tossed until 100 heads appear. Find the probability that at least 226 tosses will be necessary.

Solution:

2669.

Find a + b, 9a + 7b, |a|, and |a - b|.a = 9i - 8j + 7k, b = 7i - 9k

Answer» Find a + b, 9a + 7b, |a|, and |a - b|.a = 9i - 8j + 7k, b = 7i - 9k

Solution:

2670.

Find the real numbers x and y that make the equation true. 5 + yi = x + 3i

Answer» Find the real numbers x and y that make the equation true. 5 + yi = x + 3i

Solution:

2671.

Find the length of the curve r(t) = 5t, 3 cos(t), 3 sin(t) , -5 ≤ t ≤ 5?

Answer» Find the length of the curve r(t) = 5t, 3 cos(t), 3 sin(t) , -5 ≤ t ≤ 5?

Solution:

2672.

What is the remainder when (3x4 + 2x3 - x2 + 2x - 9) ÷ (x + 2)?

Answer» What is the remainder when (3x4+ 2x3- x2+ 2x - 9) ÷ (x + 2)?

Solution:

2673.

What is the value of y in the equation 6.4x + 2.8y = 44.4, when x = 3?

Answer» What is the value of y in the equation 6.4x + 2.8y = 44.4, when x = 3?

Solution:

2674.

Find the equation of the least squares regression line if x-bar = 20, sx = 2, y-bar = 10,sy = 4, r = 0.2?

Answer» Find the equation of the least squares regression line if x-bar = 20, sx = 2, y-bar = 10,sy = 4, r = 0.2?

Solution:

2675.

What is the volume of a ball if the diameter of the ball is 6 inches? Leave your answer in terms of π.

Answer» What is the volume of a ball if the diameter of the ball is 6 inches? Leave your answer in terms of π.

Solution:

2676.

A sequence is defined by the recursive function f(n + 1) = f(n). If f(3) = 9 , what is f(1)?

Answer» A sequence is defined by the recursive function f(n + 1) = f(n). If f(3) = 9 , what is f(1)?

Solution:

2677.

Binary numbers are made up of 1s and 0s. What is the base 10 number for the binary number 1000?

Answer» Binary numbers are made up of 1s and 0s. What is the base 10 number for the binary number 1000?

Solution:

2678.

What is the value of (-3 + 3i) + (-2 + 3i)? -5 - 6i,- 5+ 6i,5 + 6i,5 - 6i

Answer» What is the value of (-3 + 3i) + (-2 + 3i)?

Solution:

2679.

Isiah determined that 5a2 is the GCF of the polynomial a3 - 25a2b5 - 35b4. Is he correct? Explain.

Answer» Isiah determined that 5a2is the GCF of the polynomial a3- 25a2b5- 35b4. Is he correct? Explain.

Solution:

2680.

One of the factors of g2 - 32g + 256 is: g + 8,g - 8,g - 16,g + 16

Answer» One of the factors of g2 - 32g + 256 is

Solution:

2681.

What are the x-coordinates of the solutions to this system of equations? x2 + y2 = 25 andy = 2x - 5

Answer» What are the x-coordinates of the solutions to this system of equations?
x2 + y2 = 25 andy = 2x - 5

Solution:

2682.

Given the equation 3x - 3 = 6x + 1, select the reasoning that correctly solves for x. Add 3, subtract 3x, then divide by -3 Add 3, subtract 6x, then divide by 3 Subtract 1, subtract 3x, then divide by 3 Subtract 1, subtract 6x, then divide by -3

Answer» Given the equation 3x - 3 = 6x + 1, select the reasoning that correctly solves for x.
Add 3, subtract 3x, then divide by -3
Add 3, subtract 6x, then divide by 3
Subtract 1, subtract 3x, then divide by 3
Subtract 1, subtract 6x, then divide by -3

Solution:

2683.

Which interval is the solution set to 0.35x -4.8 < 5.2 -0.9x? (-∞, -8); (-∞, 8); (-8, ∞); (8, ∞)

Answer» Which interval is the solution set to 0.35x -4.8 < 5.2 -0.9x? (-∞, -8); (-∞, 8); (-8, ∞); (8, ∞)

Solution:

2684.

Which of the following equations is quadratic? x(x2 + 1) = 0,5(4x + 2) = 3,(x + 3)(x + 4) = 5

Answer» Which of the following equations is quadratic?
x(x2 + 1) = 0,5(4x + 2) = 3,(x + 3)(x + 4) = 5

Solution:

2685.

Which of the following is a zero for the function f(x) = (x - 15)(x + 1)(x - 10)? x = -15,x = -10,x = 1,x = 15

Answer» Which of the following is a zero for the function f(x) = (x - 15)(x + 1)(x - 10)?

Solution:

2686.

Use the standard normal distribution to find p(-2.25 < z < 1.25).

Answer» Use the standard normal distribution to find p(-2.25 < z < 1.25).

Solution:

2687.

Approximate the real number solution(s) to the polynomial function f(x) = x3 - 4x2 + x + 6. x = -3, x = -1, x = 2 x = 3, x = 1, x = -2 x = 3, x = -1, x = 2 x = -3, x = 1, x = -2

Answer» Approximate the real number solution(s) to the polynomial function f(x) = x3 - 4x2 + x + 6.
x = -3, x = -1, x = 2
x = 3, x = 1, x = -2
x = 3, x = -1, x = 2
x = -3, x = 1, x = -2

Solution:

2688.

What is the area of the figure below? 45 in2, 90 in2, 135 in2, 180 in2

Answer» What is the area of the figure below?
45 in2, 90 in2, 135 in2, 180 in2

2689.

What is the discriminant of the quadratic equation -x2 + 4x - 2 = 0? -4,8,12,24

Answer» What is the discriminant of the quadratic equation -x2+ 4x - 2 = 0?

Solution:

2690.

What is the sum of 12 - 5i and -3 + 4i? -16 + 63i,9 - i,9 - 9i,15 - 9i

Answer» What is the sum of 12 - 5i and -3 + 4i?

Solution:

2691.

If L||M And the measure of angle 7 is twice the measure of angle 2, then the measure of angle 7 is?

Answer» If L||M And the measure of angle 7 is twice the measure of angle 2, then the measure of angle 7 is?

Solution:

2692.

A number is divisible by 3 if the sum of the digits in the number is divisible by 3 True orFalse

Answer» A number is divisible by 3 if the sum of the digits in the number are divisible by 3
True orFalse

Solution:

2693.

Solve the following system of equations: -2x + y = 1,-4x + y = -1

Answer» Solve the following system of equations:
-2x + y = 1,-4x + y = -1

Solution:

2694.

Give the number of significant figures in this number: 7.8 x 1012

Answer» Give the number of significant figures in this number: 7.8 x 1012

Solution:

2695.

If a polynomial has four terms, 3x3 + 5x + 6x2 + 10, which factoring method can be considered?

Answer» If a polynomial has four terms, 3x3+ 5x + 6x2+ 10, which factoring method can be considered?

Solution:

2696.

What is the solution to the system of equations? y = 1.5x -4, y=-4

Answer» What is the solution to the system of equations? y = 1.5x - 4, y=-4

Solution:

2697.

Which value of y forms the solution of the system defined by y = 11x + 1 and 11x + 12y= 12?

Answer» Which value of y forms the solution of the system defined by y = 11x + 1 and 11x + 12y= 12?

Solution:

2698.

(i) y + 2y = 0 (ii) y” – 5y’ + 6y = 0

Answer» The values of m so that the function y = emxis a solution of the given differential equation is: (i) m = -2, (ii) m = 3, 2

A differential equation is an equation that involves the derivative (derivatives) of the dependent variable with respect to the independent variable (variables) is called a differential equation.

2699.

Find values of m so that the function y = emxis a solution of the given differential equation.

Answer» The values of m so that the function y = emxis a solution of the given differential equation is: (i) m = -2, (ii) m = 3, 2

A differential equation is an equation that involves the derivative (derivatives) of the dependent variable with respect to the independent variable (variables) is called a differential equation.

2700.

What is the equation of the axis of symmetry of the graph of y + 3x - 6 = -3(x - 2)2 + 4?

Answer» What is the equation of the axis of symmetry of the graph of y + 3x - 6 = - 3(x - 2)² + 4?

Solution: