Find the degree measure of an angle whose complement is 25% of its supplement.
60°
100
Solve for all values of x:
x3 - 3x2 + 4x - 12 = 0
x = 3, 2i, -2i
100
Solve for x:
x4 - 12x3 + 54x2 - 108x + 80
x = 2, 4, 3 + i, 3 - i
100
Calculus Figure #1
1
100
Figure #1
31.01
200
Triangles ABC and ADC are isosceles with AB=BC and AD=DC. Point D is inside triangle ABC, angle ABC measures 40 degrees, and angle ADC measures 140 degrees. What is the degree measure of angle BAD?
50°
200
Factor Completely:
x8 + 9x6 - x2 - 9
(x - 1)(x + 1)(x2 + x + 1)(x2 - x + 1)((x2 + 9)
200
Solve for x:
log2x = log43x
x = 3
200
Victor is pouring maple syrup into an ice cream cone. The cone has a radius of 4 cm and a depth of 10 cm. If Victor pours syrup at a rate of 2 cm3/sec, how fast is the height of the syrup rising when it is 5 cm?
1/(2pi) cm/s
200
What are the first 6 digits of e?
2.71828
300
In Triangle ABC, Angle A has a measure of (x2 + 25)°. Angle B has a measure of (35 - 3x)°. If angle C has a measure of 50°, what is the value of x?
x = -7, 10
300
Solve the equation:
|x + 3| = |2x - 3|
x = 0,6
300
Pre-Calc Figure 1
x4 - 4x3 + 3x2 - 4x + 4
300
Tony launches Daniel upward. David is stationary standing 500 m away and observes Daniel's launch. If the angle between David's eyes and Daniel change at a rate of 0.14 rad/s, when David's eyes make a 45° angle with Daniel, how fast is Daniel rising?
140 m/s
300
What digit is the most frequent between the numbers 1 and 1,000 (inclusive)?
1
400
Geometry Figure #1
x = w - y - z
400
Find all possible values for x.
|2x - 5| < x + 1
4/3 < x < 6
400
Solve for x:
5 = 4-2x - 4-x+1
x = - log45
400
Calculus Figure #2
384
400
Have a member in your team recite the first 20 digits of pi.
3.1415926535897932384
500
Geometry Figure #2
3/2
500
Factor Completely: x4 + x2 + 1
(x2 + x + 1)(x2 - x + 1)
500
Write a polynomial equation with integer coefficients in standard form given that it's roots are 3, 4, 1 + 3i, 1 - 3i
x4 - 9x3 + 36x2 - 94x + 120
500
A 6ft tall man is walking 5 m/s away from a street light that is 15m from the ground. When the man is 10m away from the light at what rate is the length of his shadow is changing?
10/3 m/s
500
There are three boxes. One has apples, one has oranges and the other has apples and oranges. The boxes are labeled wrong so that no label is correct. Sue opens just one box, and without looking in the box, takes out one piece of fruit. She looks at the fruit and immediately labels all the boxes correctly. Which box did she open and how did she know?