Answer:
87.4%
Step-by-step explanation:
The radius to the top of the atmosphere as a fraction of the moon's radius is ...
(2575 +600)/2575 ≈ 1.23301
The ratio of the moon's volume with atmosphere to the moon's volume without is the cube of this, or 1.87456
Then the ratio of the atmosphere's volume to the moon's volume is ...
(1.87456 -1)/1 = 0.87456
Atmospheric haze is about 87.4% of the moon's volume.
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We have assumed that the desired ratio is to the solid moon's volume, not the volume of moon and atmosphere together. The latter ratio would be 0.875 to 1.875 or about 46.7%.
Company a = 22 + 0.07m
company b = 8 + 0.12m
We are looking for the time when the prices are equal. i.e. the price of company a = the price of company b
company a = company b
22 + 0.07m = 8 + 0.12m
22 - 8 = 0.12m - 0.07m
14 = 0.05m
m = 14/0.05
m = 280
Therefore, the two companies will cost the same if you talk for 280 minutes
She was correct to multiply .75 by .15 to get .1125, but she forgot to add that value to .75 to get the total amount of fabric needed.
Convert gal to cup
16 cups = 1 gallon
or 16 cuos per gallon
or 16 cups/gallon
1.5 gallons × 16 cups/gallon = 24 cups
(gallons cancel out)
-8
f(-1/2)=10(-1/2)-3
f(-1/2)=(-5)-3
f(-1/2)=-8