Answer:
Volume of solid is
Step-by-step explanation:
We need to find the volume of solid formed by rotating the region bounded by the graph of , y-axis and the line y=3 about the line y=5.
Please see the attachment for figure.
Using Shell method,
where,
a=0 (Lower limit of solid)
b=4 (Upper limit of solid)
(Outer Radius of Shell)
r=2 (Inner radius of shell)
dx is thickness of shell
Volume of shell, dV=Area of shell x Thickness
Volume of solid
Thus, Volume of solid is
Answer:
To solve the equation, you have to to isolate the variable. So, first you subtract both sides by 7.
x +7 - 7 = -2 - 7
When you simplify further,
x = -9.
Hope this helps! :)
The whole story begins at 9:00 AM, so let's make up a quantity called ' T ',
and that'll be the number of hours after 9:00 AM. When we find out what ' T ' is,
we'll just count off that many hours after 9:00 AM and we'll have the answer.
-- The first car started out at 9:00 AM, and drove until the other one caught up
with him. So the first car drove for ' T ' hours.
The first car drove at 55 mph, so he covered ' 55T ' miles.
-- The second car started out 1 hour later, so he only drove for (T - 1) hours.
The second car drove at 75 mph, so he covered ' 75(T - 1) ' miles.
But they both left from the same shop, and they both met at the same place.
So they both traveled the same distance.
(Miles of Car-#1) = (miles of Car-#2)
55 T = 75 (T - 1)
Eliminate the parentheses on the right side"
55 T = 75 T - 75
Add 75 to each side:
55 T + 75 = 75 T
Subtract 55 T from each side:
75 = 20 T
Divide each side by 20 :
75/20 = T
3.75 = T
There you have it. They met 3.75 hours after 9:00 AM.
9:00 AM + 3.75 hours = <u>12:45 PM</u> . . . just in time to stop for lunch together.
Also by the way ...
when the 2nd car caught up, they were 206.25 miles from the shop.
Part A: $2.50 * 5 pads = $12.50
$5.75 * 6 pkg markers = $34.50
$12.50 + $34.50 = $47.00 spent on pads and markers
Total spent $65.00 - $47.00 spent on pads and markers = $18.00 left for jars of paint
$18.00 divided by $4.50 = 4 jars of paint that he bought
PART B. The answer is 12 colored pencils.
$18 total spent 3 paint brushes = $9.00
$18 - $9= $9.00 left for color pencils
$9.00 divided by $0.75= 12 colored pencils
the answer is 12 colored pencils