Answer:
the slope is -1/2 and the y-intercept is -4
Step-by-step explanation:
The original formula is y=mx+b. m is the slope of the graph and b is the y-intercept. You just plug in the numbers to the original formula to get the formula for the graph. The slope is always the number that is right next to the x, or the number which is multiplied by the x. The y-intercept is always the number that is not by x.
Answer:
B: 24(0.3)
Step-by-step explanation:
24 * 0.3 = 7.2
So Mandy spent $7.20 on arts and crafts.
24 - 7.2 = $16.80 remaining.
So this is the final answer is 24 * 0.3
I've attached a plot of one such cross-section (orange) over the region in the x-y plane (blue), including the bounding curves (red). (I've set
for this example.)
The length of each cross section (the side lying in the base) has length determined by the horizontal distance
between the y-axis
and the curve
. In terms of
, this distance is
. The height of each cross section is twice the value of
, so the area of each rectangular cross section should be
.
This means the volume would be given by the integral
First, Joe started the water and it was at full force. He filled it up to 9 inches. It took him 2 minutes to get to 9 inches. Then, he stopped it for 2 minutes because his mom called him to get a bar of soap. The water level was still at 9 inches when he stopped it. Then, he put the water to come down slowly because he wasn’t sure how much more he needed. He let the water go for 2 minutes. Then, he stopped the water when it was at 12 inches of water. He sat in the bath for 5 minutes until he decided he was to cold so he hopped out. The water then drained really fast. From 12 inches to 0 inches it took the bath 3 minutes.
