What is the perimeter of this shape?
16 cm
Simplify (x2/3)4
x8/3
What is the center and radius of the circle given by the equation (x-2)2+y2 = 36?
(2, 0), r = 6
What is the derivative of x2+1 with respect to x?
2x
A researcher is curious about the IQ of students at the Utrecht University. The entire group of students is an example of a:
Population
What is (area of large circle) - (area of small circle) in this figure?
12π cm2
What are the vertical asymptotes of the function f(x)= (4x-3)/(2x2-15x-8)?
x = -1/2, x = 8
Find the vertex of the parabola defined by the equation y = 3x2-6x+1.
(1, -2)
What is the limit of 1/(x-1) as x approaches infinity?
0
What is the mean for the following scores: 2, 5, 4, 1, 8?
4
What is the volume of this figure?
1000 cm3
If f(x) = 3x-2 and g(x) = x3, what is f(g(2))?
22
What is the minimum value of the function y= 2x2+16x-7?
-39
Find dy/dx of sin(2x) + cos(3y) = cos(2x) - sin(3y)
dy/dx = (-2sin(2x) - 2cos(2x))/(3cos(3y) - 3sin(3y))
Which of the following statements is the most accurate description for the concept of standard deviation?
The average distance between a score and the mean.
What is the sum of all the angles in this rectangle?
360°
Which equation is equivalent to ln5 + 4lnx = 2ln5?
ln5x4 = ln25
Solve the following equation for x: x = 4(x)1/3
x = 0, x = -8, x = 8
Find the distance traveled in feet by a particle with the position x(t) = 2t3 - 9t2 + 12t - 4 on the time interval [0, 4].
34 ft
If the scores on a test have a mean of 26 and a standard deviation of 4, what is the z-score for a score of 18?
-2
If line m is parallel to side AB of ΔABC, what is the measure of angle a?
50°
Divide (4x3+6x2-14x+5)/(2x-1)
2x2+4x-5
Find the exact value for sin(π/12)
((6)1/2 - (2)1/2)/4
Let R be the area enclosed by the function f(x) = x2 and g(x) =2x. Find the volume of the solid generated when R is revolved around the line y = 7.
45.239 or 72π/5
R2 is the notation for:
The coefficient of determination.