Answer: p= 8
Step-by-step explanation:
3p-5=19
Add 5 to both sides
3p=24
Divide 3 to both sides
p=8
Answer:
336 ft^2
Step-by-step explanation:
All you have to do is find the area of each face, and add them up.
Firstly lets starts with the identical triangles.
There are two of them, and the area of a triangle is b*h/2
So the area is 6*8/2 , which is 24, and since their are two of them, we add another 24, and we get 48 so far.
Since all the other sides are rectangles, we can just multiply the given lengths and add them up.
So, we have
12x10, which is 120,
12x8, which is 96, and
12x6, which is 72.
Now add all of them up.
48+120+96+72 which is 336
Your answer is 336 ft^2
Answer:
2a^(5/2) - 4/a^(1/2)
Step-by-step explanation:
√a (2a^2 - 4/a)
= a^(1/2) (2a^2 - 4/a)
= 2a^(1/2 + 2) - 4a^(1/2 - 1)
= 2a^(5/2) - 4a^(-1/2)
= 2a^(5/2) - 4/a^(1/2)
7. Correct
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9. By the ratio test, the series will converge if
The limit reduces to
where
because
is given. So the series converges when
This means the radius of convergence is
.
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10. By the ratio test, the series converges if
The limit is
and so the radius of convergence is 1.
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11. Incorrect. By the root test, the series converges for
which means the series converges for all
, and so the interval of convergence is
.
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For 14 and 16, it'll probably be too late to edit this post by the time you see this. You can try posting the remaining problems in a new question.