Answer:
B
Step-by-step explanation:
1.146 pounds is the answer rounded to the thousandths place
Answer:
Area = πr², where "r" is some distance "y" and/or the function "(1/6)x"; depending on the situation
Step-by-step explanation:
If I'm picturing this correctly, you'll have conical shape after revolving the function about the x-axis. If you took some generic slice and wanted to find the area of the resulting cross-section, then you would have a circle whose radius is some arbitrary value of the line that matches the slice.
For example:
y = (1/6)x right?
If you took a slice at x = 2, then the radius of the resulting cross-sectional circle would be equal to y = (1/6)•2 =1/3.
From here you just plug it into the area of a circle, πr², to get an area of π/3.
Except with an integral you need to take all the points on the interval, so the radius comes out to be the function itself.
Assuming your integral is in terms of dx, r=y. But in order to integrate in terms of dx you must replace "y" with its function (1/6)x. So ultimately r=(1/6)x and Area = π(1/6)x.
Answer:
y=MX+b
Step-by-step explanation:
b is your y intercept
m is your slope
Answer:
Step-by-step explanation:
To get from the top square to the bottom square, multiply by - 3 So the middle position of the bottom square is - 30. If you solve all of the top square, you can get the bottom square easily enough.
The diagonal of the top square adds to 13 + 10 + 7 = 30
The top line of the top square must add to 30 as well 13 + 11 + 6. Put 6 in the middle position.
The right hand vertical line must add to 30. 11 + 7 + 12 = 30
The middle row must add to 30. 10 + 12 + 8. 8 goes in the left position of the middle row.
Let's summarize what we have so far.
13 6 11
8 10 12
7
We can fill in the last two spaces by adding to 30
13 6 11
8 10 12
9 14 7
That completes the top magic square.
To get the bottom magic square, multiply by -3
- 39 - 18 -33
-24 -30 -36
-27 -42 -21
