We need to find the 8 th term nth term is given as <span><span>an</span>=<span>a1</span>+(n−1)d</span>
n=8, d =-4 (common difference) <span><span>a8</span>=<span>a1</span>+(8−1)×d</span>
<span><span>a8</span>=1+7×(−4<span>)</span></span>
Answer:
Maggie is 13 years old.
Step-by-step explanation:
1M + 1B = 62
rearrange to get:
1B = 62 - 1M
4M - 3 = 1B
substitute B with 62 - 1M so there is only one variable. this gives:
4M - 3 = 62 - 1M
Get all the variables on one side:
4M + 1M - 3 = 62
Get all non variables on the other side:
4M + 1M = 62 + 3
simplify:
5M = 65
Divide both sides by 5 to get the M by itself:
M = 13.
BONUS:
M + B = 62
B = 49
So her brother is 49 years old.
Maggie is 13 years old.
Answer:
D)
Step-by-step explanation:
49 degrees + 86 degrees = 135 degrees
line QT=180 degrees
135 degrees + 45 degrees = 180 degrees
Consider the closed region

bounded simultaneously by the paraboloid and plane, jointly denoted

. By the divergence theorem,

And since we have

the volume integral will be much easier to compute. Converting to cylindrical coordinates, we have




Then the integral over the paraboloid would be the difference of the integral over the total surface and the integral over the disk. Denoting the disk by

, we have

Parameterize

by


which would give a unit normal vector of

. However, the divergence theorem requires that the closed surface

be oriented with outward-pointing normal vectors, which means we should instead use

.
Now,



So, the flux over the paraboloid alone is
The answer is a <span>42.857% chance which is 3/8
I'm glad to help, I hope this was helpful </span>