15 points

calculate the muscular work completed by four men. four men carry 20 boxes each up a ramp as shown. each box weighs 5 pounds. remember that muscular work is calculated by multiplying the weight by the vertical distance. in the calculation, disregard the weight of the men and consider only the muscular work done carrying the boxes.

a. 600 ft lbs

b. 1200 ft lbs

c. 2400 ft lbs

d. 3600 ft lbs

If the altitude is drawn to the hypotenuse of a right triangle, then the two triangles formed are similar to the original triangle and to each other. which set of triangles shows the similar triangles created by the altitude in the diagram?

Evaluate 8x2 + 9x − 1 2x3 + 3x2 − 2x dx. solution since the degree of the numerator is less than the degree of the denominator, we don't need to divide. we factor the denominator as 2x3 + 3x2 − 2x = x(2x2 + 3x − 2) = x(2x − 1)(x + 2). since the denominator has three distinct linear factors, the partial fraction decomposition of the integrand has the form† 8x2 + 9x − 1 x(2x − 1)(x + 2) = correct: your answer is correct. to determine the values of a, b, and c, we multiply both sides of this equation by the product of the denominators, x(2x − 1)(x + 2), obtaining 8x2 + 9x − 1 = a correct: your answer is correct. (x + 2) + bx(x + 2) + cx(2x − 1).

Pl approximate the value of 13−−√ to the nearest tenths place. plot the approximation on the number line.