Answer:
63
Step-by-step explanation:
To find the volume of this prism, all you need to do is multiply the height, the width, and the length of the prism. The height is 3, the length is 7, and the width is 3. So 3·3·7=9·7=63. Now we have to add the label, which is cm. We are multiplying 3cm by 3cm by 7cm, which makes it . Now you just multiply
and 63 together, which gets you 63
.
Answer:
a) we know that this is convergent.
b) we know that this might not converge.
Step-by-step explanation:
Given the is convergent
Therefore,
(a) The power series
has radius of convergence at least as big as 8. So we definitely know it converges for all x satisfying -8<x≤8. In particular for x = -3
∴ is convergent.
(b) -8 could be right on the edge of the interval of convergence, and so might not converge
Answer:
School needs to collect at least 144 box tops each day to meet their goal.
Step-by-step explanation:
The total requirement of box tops = 2,000
The number of box tops they have already received = 872
So, the box tops left = Total number required- Number of tops received
=2,000 - 872
= 1,128 box tops are left so far.
Number of days left = 8
So, number of minimum tops needed each day =
=
Hence, they need to collect at least 144 box tops each day to meet their goal.