Answer:
1,844,580,200,000,000 = 1.8445802×10^15
Step-by-step explanation:
31^3 x 12^10
31^3 = 31 x 31 x 31
12^10 = 12 x 12 x 12 x 12 x 12 x 12 x 12 x 12 x 12 x 12
31^3 = 29791
12^10 = 61917364224
29791 x 61917364224 = 1,844,580,200,000,000 = 1.8445802×10^15
The simplification form of the provided expression is g . 6² . p⁴ option (B) g . 6² . p⁴ is correct.
<h3>What is an integer exponent?</h3>
In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
It is given that:
The expression:
After using the properties of integer exponent:
= g . 6² . p⁴
Thus, the simplification form of the provided expression is g . 6² . p⁴ option (B) g . 6² . p⁴ is correct.
Learn more about the integer exponent here:
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Answer:
A
Step-by-step explanation:
Because you have to use the Pythagorean theorem to solve for this.
Answer:
Yes, the constant of proportionality is the same for the three rows.
The relationship between amount of water (W) in terms of time (t) can be written as:
W = 16.5 t
Step-by-step explanation:
To find the constant of proportionality, find the number of gallons per minute for each row:
First row: 16.5 gal in 1 minute means: 16.5 Gal/min
Second row: 24.75 gallons in 1.5 minutes means 24.75/1.5 = 16.6 Gal/min (same proportionality as above)
Third row: 33 gallons in 2 minutes means: 33/2 = 16.5 Gal/min (again same proportionality)
Then: Yes, the constant of proportionality is the same for the three rows.
Therefore the amount (W) of water in gallons per time (t) in minutes can be written as the product of 16.5 times time (t):
W = 16.5 t
