HELP DUE SOON EMERGENCY
1 answer:
Answer:
The sum of the series is 44.
Step-by-step explanation:
Sigma notation. I just had a test on this, so this is pretty good timing.
Below the sigma, we see that k = 1. This means that 1 is the number you would substitute for k into the expression on the right to get the first term. In this case, the first term is -2. (2(1)² - 4)
Now, we can also find out the number of terms in the series by subtracting 1 (taken from k = 1) from the number on top of the sigma, 4, and then adding 1 to it.
4 - 1 + 1 = 4. This means there are 4 terms in the series.
See the remaining work in the attached file. You should get that the sum of the series is 44.
Hope this helps!
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Answer:
The volume ratio of the enlarged prism to the original prism is equal to
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
Let
z------> the scale factor
x-----> the volume of the enlarged prism
y-----> the volume of the original prism
so
we have
substitute
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the volume ratio of the enlarged prism to the original prism is equal to
Verify
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Karmin will make $18.4 for working an hour after the increase.
Step-by-step explanation:
Step 1:
First, we need to determine how much Karmin made an hour.
Karmin's hourly rate
So Karmen made $16 every hour that she worked. She worked for 30 hours and earned $480.
She will get a 15% increase in her hourly rate this month.
Step 2:
We need to determine how much 15% of $16 is.
15% of $16
So her 15% increase amounts to $2.4.
So the hourly rate for this month
So Karmin will make $18.4 for working 1 hour.