A) 2^(x+3)= 4^(2x)
make base number the same
2^(x+3)= 2^2 (2x)
set the exponents equal to eachother
x+3=2 (2x)
x+3=4x
-x both sides
3=3x
÷3 both sides
x=1
b) 16^(1/5)×2^(x)=8^(3/4)
make base same number
2^4 (1/5)×2^(x)=2^3 (3/4)
2^(4/5)×2^(x)=2^(9/4)
set exponents
4/5 +x=9/4
-4/5 both sides
x= 29/20
For this case we must multiply the following expression:
We apply distributive property considering that:
So:
To multiply powers of the same base, we place the same base and add the exponents.
Answer:
Approximately 6.8 hours Alyssa spends on the train per day.
Given that, Alyssa spent 365 hours commuting on the train over the course of 54 days.
We need to find the number of did Alyssa spend on the train per day.
<h3>What is an equation?</h3>
In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the number of hours Alyssa spends on the train per day be x.
Now, x=365/54
=6.759≈6.8 hours
Therefore, approximately 6.8 hours Alyssa spends on the train per day.
To learn more about an equation visit:
brainly.com/question/14686792.
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The diameter is about 25.47, SO B!!!
Answer:
7
Step-by-step explanation: