Answer:
2.5
Step-by-step explanation:
The one thing that changes in the problem is the milk. It goes from 8 oz. to 12 oz., so we are going to use the oz count to determine the amount of espresso. Since the amount of milk rose, so is the amount of espresso. Now, you take the larger number and divide it by the smaller number (12 / 8 = 1.5). This answer will tell you by what multiple it increased by. Once you have the multiple it increased by, you multiply that answer (1.5) by the other unknown changing number, so 1.5 x 1.5. Do this and you get 2.5.
Step-by-step explanation:
-2x³ + 14x² + 120x
= -2x(x² - 7x - 60)
= -2x(x - 12)(x + 5).
The other 2 dimensions are -2x and (x + 5).
When using a graphing calculator to maximise the volume of the prism, we get x = 7.378. However this value is not reasonable as it makes -2x and (x - 12) negative, which are the sides of the prism.
Answer:
the answer is true
Step-by-step explanation:
the x values don't repeat themselves so therefore it is a function
Answer: (1500.66,1599.34)
Step-by-step explanation:
Confidence interval for population mean:

,where
= Sample mean , n= Sample size, z* = critical two tailed z-value ,
= population standard deviation.
As per given , we have
n= 16
square feet
square feet

Critical z-value = 
Confidence interval for population mean:

Required confidence interval: (1500.66,1599.34)
Answer:
h = V/y^2
Step-by-step explanation:
The volume of a right pyramid is given by the expression = Area of base × height.
Area of base = Area of square at the base
= y × y = y^2.
Now, we substitute these values:
V = y^2 × height
height = V/y^2