MATH

The geometric mean and the arithmetic mean of numbers are 8 and 10 respectively. What is the harmonic mean?

• 6.4

• 5.7

• 4.6

• 7.5

B^2 - 4AC < 0 describes a/an

• ellipse

• hyperbola

• circle

• parabola

A fencing is limited to 20 ft. length. What is the maximum rectangular area that can be fenced in using two perpendicular corner sides of an existing wall?

• 140 ft2

• 100 ft2

• 120 ft2

• 190 ft2

z varies directly as x and inversely as y2. If x = 1 and y = 2 then z = 2. Find z when x = 3 and y = 4.

• 2.5

• 3

• 3.5

• 1.5

The square of a number added to 25 equals 10 times the number. What is the number?

• -10

• 5

• -5

• 10

The equation y^2 = cx is the general solution of

• y’ = 2y/x

• y’ = y/2x

• y’ = 2x/y

• y’ = x/2y

Describe the locus represented by |z + 2i| + |z – 2i| = 6.

• ellipse

• circle

• hyperbola

• parabola

Find the value of sin (arc cos 15/17)

• 8/17

• 8/19

• 8/15

• 8/11

Find all the real solutions to the logarithmic equation ln x + ln 2 = 3.

• e^3/2

• e^1/2

• e

• e2

A line segment is a side of a square and also the hypotenuse of an isosceles right triangle. What is the ratio of the area of the square to the area of the triangle?

• 2:1

• 3:1

• 1:1

• 4:1