Answer:
example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 exactly and 12 ÷ 6 = 2 exactly. The other factors of 12 are 1, 2, 4, and 12.
Step-by-step explanation:
We can create two equations here:
(1) Volume = area of square * height of box
85.75 = s^2 h
(2) Cost = 3 * area of square + 1.5 * area of side box
C = 3 s^2 + 1.5 s h
From (1), we get:
h = 85.75 / s^2
Combining this with (2):
C = 3 s^2 + 1.5 s (85.75 / s^2)
C = 3 s^2 + 128.625 s-
Taking the 1st derivative and equating dC/ds =
0:
dC/ds = 6s – 128.625 / s^2 = 0
Multiply all by s^2:
6s^3 – 128.625 = 0
6s^3 = 128.625
s = 2.78 cm
So h is:
h = 85.75 / s^2 = 85.75 / (2.78)^2
h = 11.10 cm
So the dimensions are 2.78 cm x 2.78 cm x 11.10 cm
The total cost now is:
C = 3 (2.78)^2 + 1.5 (2.78) (11.10)
C = $69.47
Just follow basic distribution and simplifying rules and your answer is x+46=
Answer:
Confidence interval for the mean consumption of milk per week among males over age 25 in 85% confidence level is (2.8≤μ≤3.0)
Step-by-step explanation:
Consumption of milk among males over age 25 can be found using the formula:
M± where M is the <em>sample mean</em>, z is the corresponding <em>z-score for 85% confidence level</em>, s is the <em>population standard deviation</em>, N is the <em>sample size</em>.
In this sample, mean of milk consumption per week among males over age 25 is 2.9 liters. Corresponding z-score for 85% confidence interval is 1.440. standard deviation of the sample is 1.1. And sample size is 513. When we put these numbers in the formula, we got:
2.9± =2.9±0.07
Answer:
A -- the curves that are not parabolas
Step-by-step explanation:
The inverse relation will only be a function if it passes the vertical line test: a vertical line cannot intersect the curve at more than one point.
A "half-parabola" can have an inverse function.
A parabola will have an inverse relation that is not a function. When x-values are repeated, as "goes through (5, 2) and goes through (5, -2)", the relation is not a function.
The graph that shows inverse functions is attached. A function and its inverse are mirror images of each other in the line y=x.