If y varies directly as x^3 and y = 5 when x = 2, this is y when x = 4
What is 40?
100
This is log base 25 of (1/5).
What is -1/2?
100
For the geometric sequence with a(1) = 20 and r = 1/4, this is the 4th term.
What is 5/16?
200
This is (sqrt 3 - 5) divided by (sqrt 3 + 2) in simplified form.
What is 7 sqrt 3 - 13?
200
These are the exact solutions to -2x^2 + 2x -5 =0.
What are (1/2) +/- (3/2)i?
200
For cones of equal volume. the height is inversely proportional to the square of the radius of the base. If the radius of a cone is 10 cm and its height is 15 cm, this is the radius of a second cone of equal volume with a height of 60 cm
What is 5 cm?
200
This is the simplified form of cube root of 4 times sixth root of 32.
What is 2 sqrt 2?
200
For the sequence with the twelfth term = 8 and the 17th term = 23, this is the first term and the common difference.
What are -25 and 3?
300
This is 5i - (6 + 4i) in simplified form.
What is -6 + i ?
300
This is the equation of the quadratic function that has vertex (1,3) and passes through the point (4,21) in vertex form.
What is y = 2(x-1)^2 + 3?
300
This is the quotient of 2x^3 + 9x^2 + x -12 and x + 4
What is 2x^2 +x -3?
300
This is the solution to the equation (1/25)^(2x + 1) = 125^(x+4).
What is -2?
300
This is the sum of the arithmetic sequence 100 + 95 + 90 + ...+ 10
What is 1045?
400
This is (4 - 2i)^ (-1) in a + bi form.
What is 1/5 + (1/10)i?
400
An object if projected vertically upward with a velocity of 29.4 m/s from a height of 30m, then its height, h, above the ground in meters after t seconds is given by h = -4.9t^2 + 29.4t + 30. This is the maximum height the object reached.
What is 74.1m?
400
These are the roots to x^4 + 11x^2 + 18 = 0 given -3i is a root.
What are 3i, -3i, i sqrt2 and - i sqrt 2
400
This is the solution to: log base 2 of (x + 6) - log base 2 of (x - 1) = 3.
What is 2?
400
This is the sum of the following series: 4/3 - 1 + 3/4 - ...
What is 16/21?
500
This is sqrt (x-10) = sqrt (x) +1 solved for x.
What is x = 16?
500
This is the quadratic function with integer coefficients and zeros at
-3 - i and -3 + i.
What is x^2 + 6x + 10 = 0?
500
This is the cubic polynomial with intergral coefficients that has -5 and 2 + i as roots.
What is x^3 + x^2 - 15x + 25 = 0?
500
This is how many years it would take an investment of $200 to triple if it is invested at an annual rate of 8% interest, compounded annually.
What is 14 years ?
500
The sum of the first n positive integers is 4950. This is the value of n.