Answer:

Step-by-step explanation:
Let
y ----> the total cost for renting the popcorn machine
x ----> the time in hours
we know that
The total cost of renting a popcorn machine for 6 hours is $48
so
using proportion
Find out the total cost for renting the popcorn machine for x hours

Is a linear direct variation
The constant of proportionality or slope is equal to

That means ----> the total cost is $8 per hour
Answer:
μy = $6.56 ; σy = 2.77
Step-by-step explanation:
Given the data :
Mean μx= $8.56
Standard Deviation σx ≈ 2.77
Profit, Y on pizza with current promo :
Price off on pizza = $2
Y = x - 2
μx = E(x) = $8.56
μy = μ(x - 2)
μy = μx - $2
μy = $8.56 - $2
μy = $6.56
For the standard deviation of y
σx ≈ 2.77
σy = σ(x - 2)
σy = σx - 2
Constants are treated as 0 for standard deviation
σy = 2.77
Answer:
The required expression is 
Step-by-step explanation:
Consider the provided information.
A tissue can be 0.000075 meters thick and we need to represent it into scientific notation.
Steps to write a number in scientific notation.
- Move the decimal place to the right so that the new number from 1 up to 10.
- Determine the exponent, the exponent is the number of times you moved the decimal.
Now, consider the number 0.000075
Move the decimal point to 5 place right so that the new number from 1 up to 10.
Now, put the exponent the number of times you moved decimal. 
Hence, the required expression is 
A. 4y(2y + 5) = 4y(2y) + 4y(5) = 8y² + 20y
B. 7a(3a + 8b) = 7a(3a) + 7a(8b) = 21a² + 56ab
C. 13x³(3y + 2x²) = 13x³(3y) + 13x²(2x²) = 39x³y + 26x⁴ units²
D. 7m²(3m - 5) = 7m²(3m) - 7m²(5) = 21m³ - 35m² units²
Ok done. Thank to me :>