Consider the three-dimensional solid that has square cross sections and whose height y at position x is given by the
equation y = 2√x for 0 ≤ x ≤ 4.
a. approximate the shape with four rectangular prisms of equal width. what is the height and volume of each
rectangular prism? what is the total volume?
b. approximate the shape with eight rectangular prisms of equal width. what is the height and volume of each
rectangular prism? what is the total volume?
c. how much did your approximation improve? the volume of the shape is 32 cubic units. how close is your
approximation from part (b)?
d. how many rectangular prisms would you need to be able to approximate the volume accurately?

Use addition and subtraction to simplify the following polynomials. a. add polynomials: (3 – 4x + 8x^2) + (–6 + 2x – 5x^2) step 1: rewrite the polynomials without the parentheses. step 2: write the polynomial in descending order and use parentheses around like terms. step 3: add the like terms identified in step 2 to simplify the polynomial. b. subtract polynomials: (3x – 5 – 7x^2) – (–2 + 6x^2 – 5x) step 1: rewrite the polynomials without the parentheses. remember to multiply each term in the second parentheses by –1. show your work. step 2: write the polynomial in descending order and use parentheses around like terms. step 3: add the like terms identified in step 2 to simplify the polynomial.

which of the following sets of data would produce the largest value for an independent-measures t statistic? the two sample means are 10 and 20 with variances of 20 and 25 the two sample means are 10 and 20 with variances of 120 and 125 the two sample means are 10 and 12 with sample variances of 20 and 25 the two sample means are 10 and 12 with variances of 120 and 125

Complete the solution of the equation. find the value of y when x equals to 28 x+3y=28