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Evaluate tan 300° without using a calculator by using ratios in a reference triangle. (5 points)

Find the exponential function that satisfies the given conditions: Initial value = 66, decreasing at a rate of 0.5% per week (5 points)  

An acute angle [θ is in a right triangle with sin θ = . What is the value of cot θ? (5 points)

Write the expression in standard form. (5 points) 

Find the vertex of the graph of the function. (5 points) f(x) = 2×2 – 8x + 9  

From a boat on the lake, the angle of elevation to the top of a cliff is 15°54′. If the base of the cliff is 967 feet from the boat, how high is the cliff (to the nearest foot)? (5 points)

From a boat on the lake, the angle of elevation to the top of a cliff is 11°50′. If the base of the cliff is 1568 feet from the boat, how high is the cliff (to the nearest foot)? (5 points)

State the horizontal asymptote of the rational function. For full credit, explain the reasoning you used to find the horizontal asymptote. (5 points)f(x) =  

Write a linear factorization of the function. (5 points)f(x) = x4 + 49×2 

Write the expression as the sine, cosine, or tangent of an angle. sin 57° cos 13° – cos 57° sin 13° (6 points)