A point on the edge of the roller travels the circumference of the roller in 1 revolution, so that its linear velocity is
(10 rev/s) * (2*(14.25 cm)*pi cm/rev) = 285 pi cm/s
or about 895.4 cm/s.
The maximum revenue generated is $160000.
Given that, the revenue function for a sporting goods company is given by R(x) = x⋅p(x) dollars where x is the number of units sold and p(x) = 400−0.25x is the unit price. And we have to find the maximum revenue. Let's proceed to solve this question.
R(x) = x⋅p(x)
And, p(x) = 400−0.25x
Put the value of p(x) in R(x), we get
R(x) = x(400−0.25x)
R(x) = 400x - 0.25x²
This is the equation for a parabola. The maximum can be found at the vertex of the parabola using the formula:
x = -b/2a from the parabolic equation ax²+bx+c where a = -0.25, b = 400 for this case.
Now, calculating the value of x, we get
x = -(400)/2×-0.25
x = 400/0.5
x = 4000/5
x = 800
The value of x comes out to be 800. Now, we will be calculating the revenue at x = 800 and it will be the maximum one.
R(800) = 400x - 0.25x²
= 400×800 - 0.25(800)²
= 320000 - 160000
= 160000
Therefore, the maximum revenue generated is $160000.
Hence, $160000 is the required answer.
Learn more in depth about revenue function problems at brainly.com/question/25623677
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An arithmetic sequence is a sequence with the difference between two consecutive terms constant. The difference is called the common difference. A geometric sequence is a sequence with the ratio between two consecutive terms constant. This ratio is called the common ratio.
Answer:
35
Step-by-step explanation:
A quadratic sequence is a form. of mathematical progression of numbers in which the subsequent differences between each consecutive term differ by the exact amount. This is known as the common second difference.
Hence in this case,
we have
S= 3+8+15+24+…..+Tn - 1.
S=. 3+8+15+……………..Tn-1 + Tn
Deducting 2nd series from the first
We have 0=3+5+7+…….Tn
Hence, we have Tn= n (n+2)
= 24 (9+2)
= 24 + 11
= 35
Answer:
Step-by-step explanation:
mP=5x-14
mQ=x-5
mR=2x-9
we know that all the angles in a triangle= 180
that means (5x-14)+(x-5)+(2x-9)=180
5x-14+x-5+2x-9=180 we add the variables and the numbers
8x=180+28
8x=108
x=26
mP=130-14=116
mQ=26-5=21
mR=43
