Exponential equation
(Solving)
Parent Functions,Transformations,Graphs
Basic Trigonometry
Law of Sine and Cosines
Logarithmic Functions
100
2^(x-2)=1/32
x=-3
100
Write an equation for a function with the given characteristics --> The shape of y=x^2, but reflected over the x-axis and shifted right 3 and up 4 units
What is y=-(x-3)^2 +4
100
Convert (-5(pi)/(8) to degrees. Round to the nearest tenth.
What is -112.5 degrees
100
A safety regulation states that the maximum angle of elevation for a rescue ladder is 72 degrees. A fire department’s longest ladder is 110 feet. What is the maximum safe rescue height?
What is 104.62 feet
100
Evaluate: Log(base 2)32
What is 5
200
4^(2x-7)=64
11/2
200
Graph the parent function y=x(cubed). Determine the type of symmetry; is it even,odd,or neither; is it one-to-one; and over what interval is it increasing, decreasing, or constant
What is origin symmetry; odd; yes it is one-to-one; and it is decreasing from (-infinity,0) and increasing from (0,infinity)
200
Find two co-terminal angles for 131 degrees. One positive and one negative.
What is 491 degrees and -229 degrees
200
Johnny’s horse can run 20 mph, while Billy’s can run 30 mph. After 4 hours, they are 150 miles apart. How far did each person ride? What is the measure of the angle between their paths?
What is 95.08 degrees
200
Solve: Log(base 6)18+Log(base 6)(X-2)
What is x=4
300
2e^(5x+2)=12
-.0416
300
Graph y=-3((x+1)^3)+2. Determine all transformations and state the intervals in which it is increasing, decreasing, or constant.
What is vertical reflection/vertical stretch by 3/horizontal shift to the right 1/vertical shift up 2; decreasing (-infinity,infinity)
300
Find the radian measure of -72 degrees.
What is -2(pi)/5
300
The measure of two sides of a parallelogram are 50 and 80 inches, while one diagonal is 90 inches long. How long is the other diagonal?
What is 94.49 inches
300
X=1/3LogX=1/3(2Log8-6Log3)+Log3-2Log2
What is X=1/3
400
4^(x)=16
2
400
Graph the parent function y=1/X. Determine the type of symmetry; is it even,odd,or neither; and is it one-to-one?
What is origin symmetry, odd, and yes it is one-to-one
400
Find two solutions of sinx = -(square root of 3)/2
What is 240 degrees(4(pi))/3 and 300 degrees(5(pi))/3
400
At a point 200 feet from the base of a building, the angle of elevation to the bottom of the a smokestack is 35 degrees, whereas the angle of elevation to the top is 53 degrees. Find the height of the smokestack alone.
What is 125.37 feet
400
Solve: 6+2^(X-1)
NO SOLUTION
500
e^((x^2)-3)=e^2x
x=3,-1
500
Graph y=(1/X+4) -3. Determine all transformations and state the intervals in which it is increasing, decreasing, or constant; is it one-to-one;and state the y-intercept
What is horizontal shift to the left 4/vertical shift down 3; decreasing (-infinity,4)u(-4,infinity) and it is one-to-one; y-intercept=(0,(-11/4))
500
Find the complement and supplement of (pi)/7
What is Supplement = 6(pi)/7 and Complement = 5(pi)/14
500
From the top of a building 25 m high, the angle of elevation of a weather balloon is 54 degrees. From the bottom of the building, the angle of elevation is 61 degrees. How high is the weather balloon?
What is 105.46 m
500
Solve: 3Log(base 7)4+4Log(base7)3=Log(base 7)X
X=5184
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