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

Write the expression as the sine, cosine, or tangent of an angle. cos 94° cos 37° + sin 94° sin 37° (6 points)

Which of the following best describes a smeared-crack model?

Decide whether the function is an exponential growth or exponential decay function, and find the constant percentage rate of growth or decay. (5 points) f(x) = 2063 ⋅ 0.9953x  

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form. 4, -2, and -1 + 2i (5 points)

Find the exact solution to the equation. (5 points) 6-log8(x+7) = 5

Determine the casting-position modification factor, ψt, for a rectangular beam with b = 16 in. and d = 24 in., three epoxy-coated No. 7 Grade 60 tension-reinforcement bars placed in the top of the beam, and No. 4 Grade 60 stirrups located every 10 in. along the span. Assume 6,000-psi lightweight concrete and a clear cover of 1.75 in.

Find the exact value of the real number y. y = csc-1(1) (5 points)

Determine the casting-position modification factor, ψt, for a rectangular beam with b = 16 in. and d = 20 in., three galvanized No. 9 Grade 60 tension-reinforcement bars placed in the top of the beam, and No. 4 Grade 40 stirrups located every 10 in. along the span. Assume 8,000-psi lightweight concrete and a clear cover of 2 in.

Find the zeros of the function. f(x) = 9×3 – 72×2 + 135x (5 points)