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2051.

Find the following measure for this figure. volume =

Answer» Find the following measure for this figure. volume =

pic16

2052.

Solve the equation graphically: x + 3y = 6 and 2x + 3y = 12.

Answer» Solve the equation graphically: x + 3y = 6 and 2x + 3y = 12.

Solution:

2053.

Find the area of a square with a side of 7 feet.

Answer» Find the area of a square with a side of 7 feet.

Solution:

2054.

What is the value of n in the numerical sentence below? The square root of 16 divided by 43 = 4n

Answer» What is the value of n in the numerical sentence below? The square root of 16 divided by 43= 4n

Solution:

2055.

Use this equation to find dy/dx. 4y cos(x) = x2 + y2

Answer» Use this equation to find dy/dx. 4y cos(x) = x2+ y2

Solution:

2056.

If n = 8 and 16(2m) = 4n - 8, then m = ?

Answer» If n = 8 and 16(2m) = 4n - 8, then m = ?

Solution:

2057.

Solve 3x - 5y = 17 and 9x - 15y = -4

Answer» Solve 3x - 5y = 17 and 9x - 15y = -4

Solution:

2058.

Which of the following is a factor of 5x3 + 320? 5, x + 4, x2 - 4x + 16, All of the above

Answer» Which of the following is a factor of 5x3 + 320?

Solution:

2059.

What are the solutions to the equation (x - 6)(x + 8) = 0?

Answer» What are the solutions to the equation (x - 6)(x + 8) = 0?

Solution:

2060.

When constructing an inscribed square, how many lines will be drawn in the circle? 2, 3, 5, 7

Answer» When constructing an inscribed square, how many lines will be drawn in the circle? 2, 3, 5, 7

Solution:

2061.

In how many ways can 2 singers be selected from 4 who came to an audition?

Answer» In how many ways can 2 singers be selected from 4 who came to an audition?

Solution:

2062.

Point M is the midpoint of segment QR. If QM = 2x + 5 and MR = 5x - 1, find the length of QR. QR = 18,QR = 9,QR = -9,QR = 8

Answer» Point M is the midpoint of segment QR. If QM = 2x + 5 and MR = 5x - 1, find the length of QR.

Solution:

2063.

Find a unit vector that has the same direction as the given vector. -5i + 9j

Answer» Find a unit vector that has the same direction as the given vector. -5i + 9j

Solution:

2064.

What is the vertex of the graph of y = -4(x + 2)2 + 5?

Answer» What is the vertex of the graph of y = -4(x + 2)2+ 5?

Solution:

2065.

Mark's gross pay for the week was $950.00. His total deductions were $118.54. What is his net pay?

Answer» Mark's gross pay for the week was $950.00. His total deductions were $118.54. What is his net pay?

Solution:

2066.

Find a unit vector that has the same direction as the given vector. -3i + 7j

Answer» Find a unit vector that has the same direction as the given vector. -3i + 7j

Solution:

2067.

In the xy plane what is the slope of the line whose equation is 3x - 2y = 8

Answer» In the xy plane what is the slope of the line whose equation is 3x - 2y = 8

Solution:

2068.

What is the slope of the line which passes through (-2, 0) and (0, 4)?

Answer» What is the slope of the line which passes through (-2, 0) and (0, 4)?

Solution:

2069.

Using synthetic division, what is the quotient (2x3 - 3x - 10) ÷ (x - 2)?

Answer» Using synthetic division, what is the quotient (2x3- 3x - 10) ÷ (x - 2)?

Solution:

2070.

Is the inequality -2(2x + 9) > -4x + 9 sometimes, always, or never true?

Answer» Is the inequality -2(2x + 9) > -4x + 9 sometimes, always, or never true?

Solution:

2071.

Solve the system of equations 3r - 4s = 0 and 2r + 5s = 23.

Answer» Solve the system of equations 3r - 4s = 0 and 2r + 5s = 23.

Solution:

2072.

For the inverse variation equation p = 8/v what is the value of V when p = 4?

Answer» For the inverse variation equation p = 8/v what is the value of V when p = 4?

Solution:

2073.

Find the first six terms of the sequence. a1= 1, an= 4 • an - 1

Answer» Find the first six terms of the sequence. a1= 1, an= 4 • an - 1

Solution:

2074.

Find the sum: (3x2 + 5x - 8) + (5x2 - 13x - 5)

Answer» Find the sum: (3x2 + 5x - 8) + (5x2 - 13x - 5)

Solution:

2075.

A box has sides of 10 cm, 8.2 cm, and 3.5 cm. What is its volume?

Answer» A box has sides of 10 cm, 8.2 cm, and 3.5 cm. What is its volume?

Solution:

2076.

Solve this system algebraically. 9x + 2y = 5 and y - 2x + 3 = 0

Answer» Solve this system algebraically. 9x + 2y = 5 and y - 2x + 3 = 0

Solution:

2077.

What should be the next number in the following series 1, 2, 8, 48, 384, _ ?

Answer» What should be the next number in the following series 1, 2, 8, 48, 384, _ ?

Solution:

2078.

For the function f(x) = 3(x - 1)2 + 2, identify the vertex, domain, and range.

Answer» For the function f(x) = 3(x - 1)2+ 2, identify the vertex, domain, and range.

Solution:

2079.

What is the quotient (2x3 - 13x2 + 16x - 5) ÷ (x - 5)?

Answer» What is the quotient (2x3 - 13x2 + 16x - 5) ÷ (x - 5)?

Solution:

2080.

Find the exact value of the real number y = csc-1(-1)?

Answer» Find the exact value of the real number y = csc-1(-1)?

Solution:

2081.

What is quotient (x3 - 3x2 + 5x - 3) ÷ (x - 1)?

Answer» What is quotient (x3 - 3x2 + 5x - 3) ÷ (x - 1)?

Solution:

2082.

What is the perimeter of parallelogram WXYZ? √5 +√17 units, 2√5+ 2√17 units, 16 units, 22 units

Answer» What is the perimeter of parallelogram WXYZ?

finding the perimeter of the parallelogram

2083.

What is the axis of symmetry for f(x) = 2x2 - 4x + 5?

Answer» What is the axis of symmetry for f(x) = 2x2- 4x + 5?

Solution:

2084.

a) Find an angle between 0 degrees and 360 degrees that is coterminal with -600 degrees. b) Find the angle between 0 and 2π that is coterminal with 11π/20 degrees

Answer» a) Find an angle between 0 degrees and 360 degrees that is coterminal with -600 degrees.
b) Find the angle between 0 and 2π that is coterminal with 11π/20 degrees

Solution:

2085.

Which is the equation of a parabola with vertex (0, 0) and focus (-3, 0)?

Answer» Which is the equation of a parabola with vertex (0, 0) and focus (-3, 0)?

Solution:

2086.

A triangle has sides of lengths 10, 24, and 26. Is it a right triangle? Explain.

Answer» A triangle has sides of lengths 10, 24, and 26. Is it a right triangle? Explain.

Solution:

2087.

What is an equation for the translation (x - 2)2 + (y + 1)2 = 16 by 4 units left and 6 units up?

Answer» What is an equation for the translation (x - 2)2 + (y + 1)2 = 16 by 4 units left and 6 units up?

Solution:

2088.

Classify the following expression by degree and term: x2y - 7xy + xyz + x

Answer» Classify the following expression by degree and term: x2y - 7xy + xyz + x

Solution:

2089.

Find a numerical value of one trigonometric function of x for cos2x + 2sinx - 2 = 0

Answer» Find a numerical value of one trigonometric function of x for cos2x + 2sinx - 2 = 0

Solution:

2090.

What is the measure of PSQ in degrees? Angle PSR measures 99°.

Answer» What is the measure of PSQ in degrees? Angle PSR measures 99°.

2091.

Rewrite the equation 2x + 4y + 2 = 3y + 5 in general form.

Answer» Rewrite the equation 2x + 4y + 2 = 3y + 5 in general form.

Solution:

2092.

Simplify and solve this equation for q: 3q + 5 + 2q - 5 = 65

Answer» Simplify and solve this equation for q: 3q + 5 + 2q - 5 = 65

Solution:

2093.

What are the zeros of the quadratic function f(x) = 6x2 + 12x - 7?

Answer» What are the zeros of the quadratic function f(x) = 6x2+ 12x - 7?

Solution:

2094.

What is the vertex of the graph of y = -1(x - 2)2 + 3?

Answer» What is the vertex of the graph of y = -1(x - 2)2+ 3?

Solution:

2095.

What is the slope of the line with the equation 2x + 3y + 6 = 0?

Answer» What is the slope of the line with the equation 2x + 3y + 6 = 0?

Solution:

2096.

Solve: the quantity 2 x minus 20 divided by 3 = 2x

Answer» Solve: the quantity 2 x minus 20 divided by 3 = 2x

Solution:

2097.

The sum of two numbers is 19 and their difference is7. What are the two numbers?

Answer» The sum of two numbers is 19 and their difference is 7. What are the two numbers?

Solution:

2098.

On which of the following intervals is the function f(x) = 4 cos(2x - π) decreasing? x = pi over 2 to x = π x = 0 to x = pi over 2 x = pi over 2 to x = 3 pi over 2 x = π to x = 3 pi over 2

Answer» On which of the following intervals is the function f(x) = 4 cos(2x - π) decreasing?

Solution:

2099.

How many terms are in the polynomial abcd + e - fg + h2?

Answer» How many terms are in the polynomial abcd + e - fg + h2?

Solution:

2100.

In a 30-60-90 triangle, what is the length of the hypotenuse when the shorter leg is 8 m?

Answer» In a 30-60-90 triangle, what is the length of the hypotenuse when the shorter leg is 8 m?

Solution: