A cubic box is completely filled with 2,179 g of water. What is the length of one side of the box, in meters? m Explain your rea
1 answer:
Answer:
Step-by-step explanation:
The water density is approximately 1 gram per cubic centimeter, which means that 1 gram of water occupies a volume of a cubic centimeter. Hence, 2.179 grams occupies a volume of 2.179 cubic centimeters.
Let assume volume occupied by the water has a cube-like shape, whose side has the following measure:
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Answer:
We need to find which expressions are equivalent to ,
or neither.
: We extract the greatest common factor which is 6. Remember, when we extract a GCM, we divide each term by it.
Therefore, this expression is equivalent to neither of the given expressions.
: We just need to apply the distributive property.
Therefore, this expression is equivalen to .
We use the same process to the other expressions.
, equivalent to neither.
Answer:
a. Alice
b. Briana
c. 0.51 minutes
Step-by-step explanation:
a. Alice formula is valid for any t > 0 minutes, but Briana formula is only valid for
2t - 1 > 0
2t > 1
t > 1/2 minutes
b. They finish when their covered distance is equal to 5 kilometers. For Alice:
t/4 = 5
t = 5*4 = 20 minutes
For Briana:
√(2t - 1) = 5
2t - 1 = 5²
2t = 25 + 1
t = 26/2
t = 13 minutes
c. They are side by side when they have covered the same distance, that is:
t/4 = √(2t - 1)
(t/4)² = 2t - 1
t²/16 = 2t - 1
t² = 16*(2t - 1)
t² = 32t - 16
t² - 32t + 16 = 0
Using quadratic formula:
Only the second answer has sense for this problem because the race already finished before they spent 31.49 minutes in it.