We can simplify the expression by using exponent properties, and we will see that the correct option is the fourth option.
<h3>How to simplify the expression?</h3>
Remember the exponent property:
Here we have the expression:
We can reorder this to get:
The right side can be simplified to:
Now, we can move the decimal point one time to the left and increase the exponent by one, so we get:
Then we conclude that the correct option is the last one (where I rounded the expression to only 3 values after the decimal point).
If you want to learn more about scientific notation:
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Answer:
A.) Kathy starts each week with 108 phones to fix.
Answer:
5.6715 * 10^26 kg
Step-by-step explanation:
Given that :
Mass of earth = 1/95 the mass of saturn
If Mass of earth = 5.97 x 10^24 kg
Let the mass of saturn = x
5.97 x 10^24 kg = 1/95 * x
5.97 x 10^24 kg = x / 95
x = 95 * 5.97 x 10^24 kg
x = 567.15 * 10^24
x = 5.6715 * 10^26 kg
Mass of saturn = 5.6715 * 10^26 kg
Answer:
y = 4x-6
Step-by-step explanation:
It crosses the y axis at -6 so the y intercept is -6
We can find the slope using two points
(0,-6) and (2,2)
m = (y2-y1)/(x2-x1)
= (2 - -6)/(2-0)
= (2+6)/(2-0)
=8/2 =4
We can use the slope intercept form of a line
y = mx+b where m is the slope and b is the y intercept
y = 4x-6
<span>Simplifying
6x + (x + -2) = 180
Reorder the terms:
6x + (-2 + x) = 180
Remove parenthesis around (-2 + x)
6x + -2 + x = 180
Reorder the terms:
-2 + 6x + x = 180
Combine like terms: 6x + x = 7x
-2 + 7x = 180
Solving
-2 + 7x = 180
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '2' to each side of the equation.
-2 + 2 + 7x = 180 + 2
Combine like terms: -2 + 2 = 0
0 + 7x = 180 + 2
7x = 180 + 2
Combine like terms: 180 + 2 = 182
7x = 182
Divide each side by '7'.
x = 26
Simplifying
x = 26</span>