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Answer:
Procedures:
1.) The GCF of a number is the greatest factor/number that you can divide from all the numbers.
2.) The GCF of an exponent is the least value.
ANSWER: 12a² and 38a⁴b²
GCF = 2a²
Factored Form = 2a²(3+19a²b²)
Answer:
Step-by-step explanation:
5x - 2 = 55
5x = 57
x = 57/5
These are ways the equation for speed are commonly expressed:
speed = distance/time
v = s/t or v = (ds/dt)
Answer:
millimeters.
Step-by-step explanation:
We have been given that a leak in a water tank causes the water level to decrease by
millimeters each second.
To find the decrease in water level in 5 hours let us multiply water decrease in one second by number of seconds in 5 hours.
![\text{The decrease in water level in the tank}=3.6\times 10^{-2} \times 1.8\times 10^4](https://tex.z-dn.net/?f=%5Ctext%7BThe%20decrease%20in%20water%20level%20in%20the%20tank%7D%3D3.6%5Ctimes%2010%5E%7B-2%7D%20%5Ctimes%201.8%5Ctimes%2010%5E4)
Using the exponent product rule let us add the exponents with same base (10).
![\text{The decrease in water level in the tank}=3.6 \times 1.8\times 10^{-2+4}](https://tex.z-dn.net/?f=%5Ctext%7BThe%20decrease%20in%20water%20level%20in%20the%20tank%7D%3D3.6%20%5Ctimes%201.8%5Ctimes%2010%5E%7B-2%2B4%7D)
![\text{The decrease in water level in the tank}=3.6 \times 1.8\times 10^{2}](https://tex.z-dn.net/?f=%5Ctext%7BThe%20decrease%20in%20water%20level%20in%20the%20tank%7D%3D3.6%20%5Ctimes%201.8%5Ctimes%2010%5E%7B2%7D)
Therefore, the water level in tank decreased
millimeters in 5 hours.