Answer:
$12.90
Step-by-step explanation:
Answer:
A) The amplitude of f is five times greater than the amplitude of g.
Step-by-step explanation:
We know that amplitude is the height from the center line to the peak (or to the trough). Or we can measure the height from highest to lowest points and divide that by 2.
From graph we can see that amplitude of function f is 5 while amplitude of function g is 1.
Clearly 5 is five times than 1.
So first choice "A) The amplitude of f is five times greater than the amplitude of g." is true.
Answer:
i
Step-by-step explanation:
o
Answer:
5 1/4 hours
Step-by-step explanation:
The rate of filling is 1/3 vats per hour. The rate of emptying is 1/7 vats per hour, so the net rate of filling is ...
(1/3) -(1/7) = 4/21 . . . . vats per hour
Then for filling one vat, it will take an amount of time that is the inverse of this:
21/4 = 5 1/4 . . . hours per vat
If both pipes are left open, the vat will fill in 5 1/4 hours.
Answer:

Step-by-step explanation:
Use the Pythagorean Theorem:
![\displaystyle a^2 + b^2 = c^2 \\ \\ 8^2 + 4^2 = c^2; \sqrt{80} = \sqrt{c^2} \\ \\ 4\sqrt{5}\:[or\:8,94427191...] = b](https://tex.z-dn.net/?f=%5Cdisplaystyle%20a%5E2%20%2B%20b%5E2%20%3D%20c%5E2%20%5C%5C%20%5C%5C%208%5E2%20%2B%204%5E2%20%3D%20c%5E2%3B%20%5Csqrt%7B80%7D%20%3D%20%5Csqrt%7Bc%5E2%7D%20%5C%5C%20%5C%5C%204%5Csqrt%7B5%7D%5C%3A%5Bor%5C%3A8%2C94427191...%5D%20%3D%20b)
So, you have this:

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