Answer:
... you <u>add</u> the exponents
Step-by-step explanation:
An exponent is a way of showing repeated multiplication. For example, ...
x^2 means x·x
and
x^3 means x·x·x
If we multiply these two expressions together, we get ...
(x^2)·(x^3) = (x·x)·(x·x·x) = x·x·x·x·x
This is a product in which x appears as a factor 5 times, so we can write it using an exponent as ...
x·x·x·x·x = x^5
___
That is, when we multiply the expressions, we add the numbers of times the factor appears in the product:
2 + 3 = 5
x^2 · x^3 = x^(2+3) = x^5
Answer:
Solution: x = 135
Step-by-step explanation:
Hi there!
First, let´s write the equation:
√(x + 9) /4 = 3
Multiply by 4 both sides of the equation
√(x + 9) = 12
square both sides of the equation
x + 9 = 144
subtract 9 to both sides of the equation
x = 135
Let´s check the solution:
√(x + 9) /4 = 3
x = 135
√(135 + 9) /4 = 3
√(144) /4 = 3
12/4 = 3
3 = 3
Then, x = 135 is the solution to the equation.
Have a nice day!
Answer:
what.....
Step-by-step explanation:
Answer: 8 batches
Step-by-step explanation:
To get the number of batches she made, we can just use proportion to solve it. But first, we need to convert 5 1/3 to improper fraction
5 1/3 = 16/3
Then we can now use the proportion to solve
2/3 cups = 1 batch
16/3 cups = x (note:5 1/3=16/3)
cross multiply
2/3 × x = 16 /3
2x/ 3 = 16/3
we need to make x the subject of the formula, to do that we will multiply each side of the equation by 3/2
2/3 × 3/2 x = 16/3 × 3/2
6x /6 = 48 / 6
x = 8
Therefore she made 8 batches of cookies.
The balance after one year is $5200
Step-by-step explanation:
The formula to apply here is
where
A=Amount of money at the end of the period=?
P=the amount of money invested= $5000
r=rate of interest=4%=0.04
n=number of compounding per year=1
t=time in years=1
Applying the formula
A=$5200
Learn More
Compound Interest: brainly.com/question/12148233
Keywords : interest, compounded annually
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