The answer would be the 3rd one, 10 to the power of 16 (10^16).
This is because you multiply the 2 powers (2 and 8) to get 16. When there is one power within a set of parenthesis and one power on the outside the parenthesis. Since there is a 10 to the 0 power (10^0) you add this power to 16 since it is multiplying integers with exponents. Thus getting 10^16 as an answer.
I hope this helps!
Answer:
16 folders
Step-by-step explanation:
The first store has 1152 possible combinations. The second store has 72 combinations without the folders.
If we divide 1152 by 72, we have 16. Therefore the second store needs 16 folders to have the same number of combinations as the first store.
Answer:
Mechanic 1: $55 per hour
Mechanic 2: $105 per hour
Step-by-step explanation:
Given
Represent the rate of the first mechanic with x and the second with y.
So, we have:
The total earnings is: $1850, so we have:
Required
Determine the rate of each
The equations are:
--- (1)
--- (2)
Divide (2) through by 5
--- (3)
Subtract (1) from (3)
Divide through by 2
Substitute 105 for y in (1)
Make x the subject
Substitute 105 for y
Hence:
Mechanic 1: $55 per hour
Mechanic 2: $105 per hour
The coordinates for D are (-4, -7)
First we must locate point B as it is vital to finding the midpoint of BD. To do this, we take the average of the endpoints AC since B is its midpoint.
x values = -9 + 1 = -8
Then divide by 2 for the average -8/2 = -4
y values = -4 + 6 = 2
Then divide by 2 for the average 2/2 = 1
Therefore B must be (-4, 1)
Now we know the values of E must be the average of B and D. So we can write equations for each coordinate since we know they are averages.
x - values = (Bx + Dx)/2 = Ex
(-4 + Dx)/2 = -4 ---> multiply both sides by 2
-4 + Dx = -8 ---> add -4 to both sides
Dx = -4
y - values = (By + Dy)/2 = Ey
(1 + Dy)/2 = -3 ---> multiply both sides by 2
1 + Dy = -6 ---> subtract 1 from both side
Dy = -7
So the coordinates for D must be (-4, -7)
Answer:
8h + 15 = 39
Step-by-step explanation:
The base fee is 15 so you shouldn't multiply the hours by it.
The question states 8 per hour which means that you should multiply the 8 by hours and add on the base fee which is 15.
