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51.

Enter the number of complex zeros for the polynomial function in the box. f(x) = x4 + 5x2 + 6

Answer» Enter the number of complex zeros for the polynomial function in the box. f(x) = x4 + 5x2 + 6

Solution:

52.

Write the equation in spherical coordinates. x2 + y2 + z2 = 16.

Answer» Write the equation in spherical coordinates. x2 + y2 + z2 = 16.

Solution:

53.

A cylinder has a height that is 2 times as large as its radius. The lateral area of the cylinder is 16π square units. What is the length of the radius of the cylinder?

Answer» A cylinder has a height that is 2 times as large as its radius. The lateral area of the cylinder is 16π square units. What is the length of the radius of the cylinder?

Solution:

54.

Simplify the sum. (4u3 + 4u2 + 2) + (6u3 - 2u + 8)

Answer» Simplify the sum. (4u3 + 4u2 + 2) + (6u3 - 2u + 8)

Solution:

55.

Simplify the difference. (4w2 - 4w - 8) - (2w2 + 3w - 6)

Answer» Simplify the difference. (4w2 - 4w - 8) - (2w2 + 3w - 6)

Solution:

56.

Find the solutions for a triangle with a = 11.4, b = 13.7, and c = 12.2

Answer» Find the solutions for a triangle with a = 11.4, b = 13.7, and c = 12.2

Solution:

57.

Solve 250 ÷ 5 ÷ 10 making sure to divide in the proper order.

Answer» Solve 250 ÷ 5 ÷ 10 making sure to divide in the proper order.

Solution:

58.

AB is tangent to circle O if AO = 30 and bc = 48. What is AB

Answer» AB is tangent to circle O if AO = 30 and bc = 48. What is AB

Solution:

59.

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

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

Solution:

60.

If 6 times a certain number is added to 8, the result is 32. Which of the following equations could be used to solve the problem? 6x = 32 6(x + 8) = 32 6x = 8 + 32 6x + 8 = 32

Answer» If 6 times a certain number is added to 8, the result is 32. Which of the following equations could be used to solve the problem?

Solution:

61.

Find the distance between points m(6, 16) and z(-1, 14) to the nearest tenth?

Answer» Find the distance between points m(6, 16) and z(-1, 14) to the nearest tenth?

Solution:

62.

Find the general solution of the given differential equation. x2y' + xy = 9

Answer» Find the general solution of the given differential equation. x2y' + xy = 9

Solution:

63.

If (-2, y) lies on the graph of y = 4x, then y =

Answer» If (-2, y) lies on the graph of y = 4x, then y =

Solution:

64.

x - y = 0 and 6x + 5y = -22, the lines intersect at

Answer» x - y = 0 and 6x + 5y = -22, the lines intersect at

Solution:

65.

If ∠A and ∠B are supplementary and m∠A = 37°45', then m∠B = ______. 142°55', 52°15’. 52°55’, 142°15'

Answer» If ∠A and ∠B are supplementary and m∠A = 37°45', then m∠B = ______.

Solution:

66.

Find the median of the following data set. 1 1/4, 5/8, 3/5, 1/2, 1 1/2, 1 3/4

Answer» Find the median of the following data set. 1 1/4, 5/8, 3/5, 1/2, 1 1/2, 1 3/4

Solution:

67.

What are the real zeroes of x3 + 6x2 - 9x - 54?

Answer» What are the real zeroes of x3 + 6x2 - 9x - 54?

Solution:

68.

How many solutions does a triangle with side lengths a = 4, A = 680 and b = 10 have?

Answer» How many solutions does a triangle with side lengths a = 4, A = 680 and b = 10 have?

Solution:

69.

Find the range of the given data set. -4, -3, -1, -1, 0, 1.

Answer» Find the range of the given data set. -4, -3, -1, -1, 0, 1.

Solution:

70.

How many 2 digit positive integers are there such that their product is 24?

Answer» How many 2 digit positive integers are there such that their product is 24?

Solution:

71.

Find the potential solution to the equation log4(2 - x) = log4(-5x - 18).

Answer» Find the potential solution to the equation log4(2 - x) = log4(-5x - 18).

Solution:

72.

What is the distance between (-13, 9) and (11, 2) on a coordinate grid?

Answer» What is the distance between (-13, 9) and (11, 2) on a coordinate grid?

Solution:

73.

Find the volume of the figure. The diameter of the base is 4 cm. The figure is a cylinder that has d = 4 cm and h = 2.5 with a hemisphere on the top that has the same diameter as the cylinder (4 cm).

Answer» Find the volume of the figure. The diameter of the base is 4 cm. The figure is a cylinder that has d = 4 cm and h = 2.5 with a hemisphere on the top that has the same diameter as the cylinder (4 cm).

Solution:

74.

AC is tangent to circle O at A. The diagram is not drawn to scale. If mBY = 34 degrees, what is < YAC? 68 degrees, 51 degrees, 73 degrees, 56 degrees

Answer» AC is tangent to circle O at A. The diagram is not drawn to scale. If mBY = 34 degrees, what is < YAC?

Solution:

75.

Which statement best describes how to determine whether f(x) = x4- x3is an even function?

Answer» Which statement best describes how to determine whether f(x) = x4- x3is an even function?

Solution:

76.

Use the zero product property to find the solutions to the equation (x + 2) (x + 3) = 12.

Answer» The solutions to the equation (x + 2) (x + 3) = 12 are x = 1 and x = -6.

Quadratic equations are the equations that can have at most two roots. Their degree is equal to two. Let's solve a problem related to it.

77.

Use the zero product property to find the solutions to the equation x2 - 9 = 16.

Answer» Use the zero product property to find the solutions to the equation x2- 9 = 16.

Solution:

78.

Graph the relation. Find the domain and range. {(-1, 1/2),(-1/2, -1),(3/2, 0),(2, 3/2)}

Answer» Graph the relation. Find the domain and range. {(-1, 1/2),(-1/2, -1),(3/2, 0),(2, 3/2)}

Solution:

79.

Use the zero product property to find the solutions to the equation x2 - x - 6 = 0.

Answer» Use the zero product property to find the solutions to the equation x2- x - 6 = 0.

Solution:

80.

Triangle ABC has vertices A(0, 6) B(4, 6) C(1, 3). Sketch a graph of ABC and use it to find the orthocenter of ABC.

Answer» Triangle ABC has vertices A(0, 6) B(4, 6) C(1, 3). Sketch a graph of ABC and use it to find the orthocenter of ABC.

Solution:

81.

Given △QRS ~ △XYZ, what is the value of tan(Q)?

Answer» Given △QRS ~ △XYZ, what is the value of tan(Q)?

Solution:

82.

Which equation is best represented by the graph above? (x + 1)(x - 3)(x + 2) (x - 1)(x + 3)(x + 2) (x - 1)(x - 3)(x + 2) (x + 1)(x + 3)(x - 2)

Answer» Which equation is best represented by the graph above? (x + 1)(x - 3)(x + 2), (x - 1)(x + 3)(x + 2), (x - 1)(x - 3)(x + 2), (x + 1)(x + 3)(x - 2)

Solution:

83.

What is the value of x from the below figure? 6, 8, 10, 12

Answer» What is the value of x from the below figure? 6, 8, 10, 12

Solution:

84.

Given the right triangle XYZ, what is the value of tan(Y)?

Answer» Given the right triangle XYZ, what is the value of tan(Y)?

Solution:

85.

What is the sum of the geometric sequence 3, 12, 48, … if there are 8 terms?

Answer» What is the sum of the geometric sequence 3, 12, 48, … if there are 8 terms?

Solution:

86.

What is the sum of the interior angles of a hexagon?

Answer» What is the sum of the interior angles of a hexagon?

Solution:

87.

What is the sum of the interior angles of a pentagon?

Answer» What is the sum of the interior angles of a pentagon?

Solution:

88.

What is the sum of the measures of the exterior angles of a decagon?

Answer» What is the sum of the measures of the exterior angles of a decagon?

Solution:

89.

What is the sum of the interior angles of an hexagon?

Answer» What is the sum of the interior angles of an hexagon?

Solution:

90.

What is the sum of the measures of the interior angles of a heptagon?

Answer» What is the sum of the measures of the interior angles of a heptagon?

Solution:

91.

What is the sum of the measures of the interior angles of a hexagon?

Answer» What is the sum of the measures of the interior angles of a hexagon?

Solution:

92.

What is the sum of the measures of the interior angles of a pentagon?

Answer» What is the sum of the measures of the interior angles of a pentagon?

Solution:

93.

What is the sum of the measures of the interior angles of aregular heptagon?

Answer» What is the sum of the measures of the interior angles of aregular heptagon?

Solution:

94.

What is the sum of the measures of the interior angles of an octagon?

Answer» What is the sum of the measures of the interior angles of an octagon?

Solution:

95.

What is the use of order in numerical expressions?

Answer» What is the use of order in numerical expressions?

Solution:

96.

What is the sum of the multiples of 4 from 16 to 100?

Answer» What is the sum of the multiples of 4 from 16 to 100?

Solution:

97.

What is the sum of the numbers 6.68 and 0.8?

Answer» What is the sum of the numbers 6.68 and 0.8?

Solution:

98.

What is the surface area of a right rectangular prism?

Answer» What is the surface area of a right rectangular prism?

Solution:

99.

What is the value of 3 times 10 to the power of 8?

Answer» What is the value of 3 times 10 to the power of 8?

Solution:

100.

What is the temperature 32 degrees Fahrenheit in degrees celsius?

Answer» What is the temperature 32 degrees Fahrenheit in degrees celsius?

Solution: