Find the 50th term in the sequence 5, -2, -9, -16, ...
What is -338
100
A ladder is leaning up against the side of a house. The base of the ladder is 5 ft from the wall and makes an angle of 39 degrees with the ground. Find the length of the ladder.
What is 6.4 ft
100
Find the rectangular coordinates of the point (4, 3pi/4)
What is (-2.8, 2.8)
100
What is the range of the function y = 5(x-2)^2 + 1
What is [1, inf)
100
Solve for x: log base 3 of (x/7) = 4
What is x=567
200
Given the sum of an infinite geometric series is 18 and the first term is 2, find the common ratio.
What is 8/9
200
From a point on a cliff 75 ft above the water level an observer can see a ship. The angle of depression to the ship is 4 degrees. How far is the ship from the base of the cliff?
What is 1075.2 ft
200
What are the polar coordinates of the point (-1, 1) where 0<x<360?
What is (sqrt(2), 135 degrees) and (-sqrt(2), 315 degrees)
200
Given f(x) = 3x - 1 and g(x) = -x^2, find g(f(-2)) + g(-2)
What is -53
300
Suppose you drop a ball from a height of 15 ft. After the ball hits the floor, it rebounds to 85% of its previous height. How high will the ball rebound after it's third bounce? Round to the nearest tenth.
What is 9.2 ft
300
In triangle ABC, C = 42 degrees, a = 19, and b = 26. Find the length of the missing side of the triangle. Round to the nearest tenth.
What is 17.4
300
What is the rectangular form of the polar equation r=4sin(t).
What is x^2 + y^2 - 4y = 0
300
Find the domain of the function y=sqrt(x^2-4)/(x-3)
What is (-inf, -2] U [2,3) U (3, inf)
300
Eliminate the parameter and solve for y using the following set of parametric equations: x = 3(t^2) - 4 , y = 2(t^2) + 3
What is y = (2x + 17)/3
400
Decide whether the sequence converges or diverges. If it converges, find what it converges to: 9/2, 7/2, 49/18, 343/144, 2401/1152, ...
What is diverges
400
A water tower is located 410 ft from a building. From a window in the building, it is observed that the angle of elevation to the top of the tower is 42 degrees and the angle of depression to the bottom of the tower is 25 degrees. Approximately how tall is the tower?
What is 560 ft
400
What type of graph is formed by the following polar equation: r = 3/(6-2cosx)?
What is ellipse
400
Describe the transformation of the graph from its original function: y = -5(x+3) - 2
What is flipped over x-axis, shifted left 3, shifted down 2
400
A sheet of metal 12 inches by 10 inches is used to make an open-top box. Squares of equal sides are cut out of each corner then the sides are folded to make the box. Find the value of x if the volume of the box is 422 cubic inches. Round to the nearest whole number.
What is 9 inches
500
Find the next 3 terms in the sequence, given A(1)=6 and the recursive formula A(n)= n + 2(A(n-1) + 1)
What is 16, 37, 80
500
Given triangle ABC and B = 31 degrees, b = 8, and c = 13. Find the measure of C, given that it is obtuse. Round to the nearest degree.
What is 123 degrees
500
Find the polar form of the following equation 3x - 2y = 1
What is r = 1/(3cosx - 2sinx)
500
Find the inverse of the function y = (5x - 2)/(4(x - 6)).
What is y^(-1)= (24x - 2)/(4x - 5)
500
A sailboat that is traveling from the southeast to the northwest can be represented by a vector. The vector has a westward component and a northward component. If the westward component has a magnitude of 12 mph and the northward component has a magnitude of 26 mph, in what direction is the sailboat traveling? Round to the nearest tenth.