Answer:
84.8 in³
Step-by-step explanation:
The formula for the volume of a cylinder is ...
V = πr²h
The volume Mary will be filling will be 3/4 of the 9-inch height of the vase, so is ...
V = π(2 in)²(3/4·9 in) = 27π in³ ≈ 84.8 in³
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<em>Comment on the answer</em>
In more conventional units of measure, that is very nearly 3 pints of water.
<u>Answer:</u>
2(-5 - 7j) = -10 - 14j
<u>Step-by-step explanation:</u>
Using the distributive property means that we have to multiply both -5 and -7j by 2:
2(-5 - 7j)
⇒ 2 × -5 + 2 × -7j
⇒ -10 - 14j
<span>Given that there are 50 campers at day camp and 10
counselors.
The ratio of campers to counselors as a fraction is given by

.
Using equivalent fractions we have

.
Thus, the related rate and unit
rate to the ratio of campers to counselors is given by

.
The unit rate indicates that for every counselor, there are 5 campers.</span>