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Find the exact solution to the equation. (5 points) 7-log2(x+5) = 6

State how many imaginary and real zeros the function has. (5 points)f(x) = x4 + 12 x3 + 37×2 + 12x + 36 

Find the measures of two angles, one positive and one negative, that are coterminal with . (5 points)

Use the change of base rule to find the logarithm to four decimal places. (5 points) log20.175

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)