Question

Having trouble with some practice SAT questions. Please explain how you got them, so I can understand.

Answer 1

First question attached

Answer 2

Second question

Answer 3

Third

Answer 4

Last question

Answer 5

To the first question, is the answer D?

Answer 6

yes

Answer 7

why is it D?

Answer 8

pellet wingspan wingspan balls in the retrice

Answer 9

See that the graph is bound between y-axis and x=4. Thus, the abscissa a of any pt(the perpendicular distance of the pt from the y-axis) inside the curve cannot exceed 4. I is correct
The second statement says that ordinate b(perpendicular distance of the pt from x-axis) cannot exceed the abscissa a. This is true for a=4(see that the line through x=4 does not go beyond y=4). But for a=3, see that the line through x=3 goes beyond y=3. Thus, b>a. II is incorrect.
Take any point inside the region with abscissa a. Draw the line through x=a and make it intersect the curve. The point of intersection has coordinates (a, f(a)). The statement says that b cannot exceed f(a). This is true. If you take any point (a,b), the curve is above it, at a greater height, and thus at a greater y-value(ordinate). So, III is correct.

Answer 10

For the second one, n can have any value between 11 7/8 and 12 1/8.
\[117/8<n<121/8\]
Subtract each side by 12.
\[-1/8<n-12<1/8\], which means that
\[\left| n-12 \right|<1/8\]
Thus, C is correct

Answer 11

To the last question, volume of a cylinder is \[pir ^{2}h\] r=x;h=2x;
Thus, volume = \[2pix ^{3}\]
Only the volume of the last cuboid(x*2x*pix) gives the above result.
So, E is correct

Answer 12

I am still working on the third question, I will post it as soon as I solve it