Question a: a cube has edge length 6 in. if the edge length of the cube is doubled, what happens to the surface area?

1. the surface area is multiplied by 1/4.
2. the surface area is multiplied by 4.
3. the surface area is doubled.
4. the surface area is halved.

question b: a right rectangular prism has length 4 cm, width 2 cm, and height 7 cm. if the length, width, and height are halved, what happens to the surface area?

1. the surface area is multiplied by 1/4.
2. the surface area is multiplied by 1/2.
3. the surface area is doubled.
4. the surface area is multiplied by 4.

Does the function satisfy the hypotheses of the mean value theorem on the given interval? f(x) = 4x^2 + 3x + 4, [−1, 1] no, f is continuous on [−1, 1] but not differentiable on (−1, 1). no, f is not continuous on [−1, 1]. yes, f is continuous on [−1, 1] and differentiable on (−1, 1) since polynomials are continuous and differentiable on . there is not enough information to verify if this function satisfies the mean value theorem. yes, it does not matter if f is continuous or differentiable; every function satisfies the mean value theorem.

Students at a high school were asked about their favorite outdoor activity. the results are shown in the two-way frequency table below. fishing camping canoeing skiing total boys 36 44 13 25 118 girls 34 37 22 20 113 total 70 81 35 45 231 select all the statements that are true based on the given table. more girls chose camping as their favorite outdoor activity than boys. more girls chose canoeing as their favorite outdoor activity than those who chose skiing. more boys chose skiing as their favorite outdoor activity than girls. there were more boys surveyed than girls. twice as many students chose canoeing as their favorite outdoor activity than those who chose fishing. more students chose camping as their favorite outdoor activity than the combined number of students who chose canoeing or skiing.

Choose the correct translation for the following statement. it is at most ten. x< 10 x< 10 x> 10 x> 10