Asolid lies between planes perpendicular to the x-axis at x=0 and x=3. the cross-sections perpendicular to the axis on the interval 0≤x≤3 are squares whose diagonals run from the parabola y=−x‾‾√ to the parabola y=x‾‾√.find the volume of the solid.

Question 3 of 30 paul buys fruit to make smoothies. he buys 3.78 pounds of apples, 2.12 pounds of peaches, and 4.45 pounds of oranges. paul rounds each weight to the nearest tenth of a pound. about how many pounds of fruit did paul buy? (a) 10.5 pounds (b) 10.2 pounds (c) 10.4 pounds (d) 10.0 pounds 30 points

Simonne used the following steps to simplify the given expression. 12 - 3(-2x + 4) step 1: 12 + (–3)·(–2x) + (–3)·(4) step 2: 12 + 6x + (–12) step 3: 12 + (–12) + 6x step 4: 0 + 6x step 5: 6x what property of real numbers was used to transition from step 3 to step 4? a. identity property of addition b. inverse property of addition c. associative property of addition d. commutative property of addition

#1-20 state whether the angles are alternate interior, alternate exterior, vertical, or corresponding angles.