Answer:
Her average score is 150
Step-by-step explanation:
You add 175+142+133 and divide it by 3
To find mean or average you add up all the numbers and divide by how many numbers there are
To answer this item, we take the differential of the equation and equate to zero.
C(x) = 0.8x² - 256x + 25939
Differentiation,
dC(x) = 1.6x - 256
dC(x) = 1.6x - 256 = 0
The value of x from the derived equation above is 160.
Thus, the number of machine to be made in order to minimize the cost should be 160.
The area of the base is:
A = root ((s-a) * (s-b) * (s-c) * (s))
Where,
a, b, c: sides of the triangle
s = (a + b + c) / 2
We have then:
s = (9 + 9 + 9) / 2
s = 13.5
A = root ((13.5-9) * (13.5-9) * (13.5-9) * (13.5))
A = 35.07
Then, the surface area of the prism is:
S.A = 2 * A + 9h + 9h + 9h
Where,
h: height of the prism:
Substituting values:
421.2 = 2 * (35.07) + 9h + 9h + 9h
Clearing h:
27h = (421.2 - 2 * (35.07))
h = (421.2 - 2 * (35.07)) / (27)
h = 13
Answer:
the height of the box is:
h = 13 inches
Answer:
Consecutive integers:
x
(x+1)
(x+2)
Now your equation is given by sum of the first and twice the third is equal to four times the second decreased by five:
x+2(x+2) = 4(x+1)-5
Step-by-step explanation:
Answer: The answer to the expression is 45.
Step-by-step explanation: You can simplify this expression using the order of operations:
46 - 2 x 4 + 7 first you have to do multiplication
46 - 8 + 7 then go from left to right
38 + 7 = 45 After doing so, you will arrive to your answer
