I NEED THIS ANSWER! WILL MARK WITH BRAINLEST
Maria said the volume of the prism is 16 in.3 because she counted 16 blocks, and each block has a volume of 1 in.3.

A prism with length of 4 inches, height of one-fourth inch, and width of 4 inches.
What are her errors? Select all that apply.
Each block has a volume of One-fourth in.3, not 1 in.3.
Each block has a volume of One-half in.3, not 1 in.3.
The volume is 4 in.3, not 16 in.3.
The volume is 8 in.3, not 16 in.3.
The volume is 12 in.3, not 16 in.3.

If a is a nonzero real number then the reciprocal of a is

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).

Arecent study focused on the number of times men and women who live alone buy take-out dinner in a month. assume that the distributions follow the normal probability distribution and the population standard deviations are equal. the information is summarized below. statistic men women sample mean 24.85 21.33 sample standard deviation 5.54 4.93 sample size 34 36 at the 0.01 significance level, is there a difference in the mean number of times men and women order take-out dinners in a month? state the decision rule for 0.01 significance level: h0: μmen= μwomen h1: μmen ≠ μwomen. (negative amounts should be indicated by a minus sign. round your answers to 3 decimal places.) compute the value of the test statistic. (round your answer to 3 decimal places.) what is your decision regarding the null hypothesis? what is the p-value? (round your answer to 3 decimal places.)