False, any number to the power of zero = one
False, any number to the first power equals the number
(example 9^1 = 9, or 100^1 = 100)
True, 5^2 = 5 x 5
hope this helps
Answer:
less than -10
Step-by-step explanation:
2(4) - 7(2)
--> 8 - 14 = -6
First, determine what is 40% of $600. Multiple 40 (as a decimal) by 600.
0.4 x 600 = 240
Therefore, the discount is $240 off $600.
Subtract the two values to find price (before tax): 600 - 240 = 360
So the TV will cost $360 before tax.
The tax is 8.5%. Multiply 8.5 as a decimal by 360 to find the amount of tax added.
0.085 x 360 = 30.6
Add 30.6 and the price before tax to find the final price.
30.6 + 360 = 390.60
Therefore, the final price of the TV is $390.60
Answer: 14x² - 4x - 17
Step-by-step explanation:
The formula for determining the area of a rectangle is expressed as
Area = length × width
The rectangular back yard measures 5x + 4 by 3x - 2. This means that the area of the rectangular back yard would be
Area = (5x + 4)(3x - 2)
Area = 15x² - 10x + 12x - 8
= 15x² + 2x - 8
The formula for determining the area of a square is expressed as
Area = length²
Length of square patio = x + 3
Area of square patio = (x + 3)(x + 3)
= x² + 3x + 3x + 9
= x² + 6x + 9
The expression for the area of grass that will be left in the back yard after the patio is built is
15x² + 2x - 8 - (x² + 6x + 9)
= 15x² + 2x - 8 - x² - 6x - 9
= 15x² - x² + 2x - 6x - 8 - 9
= 14x² - 4x - 17
Answer:
Step-by-step explanation:
Given that Rafaela is a physical education teacher and has 25 girls and 35 boys in her class.
She wants to divide the class into teams of the same size, where each team has the same number of girls and the same number of boys. If Rafaela creates the greatest number of teams possible, how many boys will be on each team?
Here we find Highest common factor for 25 and 35 and it is 5
So 5 boys will be on each team (with 7 girls)
2) length I = 7m, x12 m and height = 3mx85 cm.
The longest tape would be the highest common factor of 12 and 85
Since it is 1, only 1 cm long tape can be used.
