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3 years ago

Evaluate x^y . when x=6 and y=3

Mathematics

1 answer:

Bezzdna [24]3 years ago

4 0

Answer:

216

Step-by-step explanation:

6 * 6 = 36

36 * 6 = 216

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According to the Rational Root Theorem, which function has the same set of potential rational roots as the function g(x) = 3x5 –

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An image of a rectangular pyramid is shown below:

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3 years ago

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The management of Ditton Industries has determined that the daily marginal revenue function associated with selling x units of t

barxatty [35]

Answer:

(a) The daily total revenue realized from the sale of 210 units of the toaster oven is $6,195.

(b) The additional revenue realized when the production (and sales) level is increased from 210 to 310 units is $1,400.

Step-by-step explanation:

The marginal revenue gives the actual revenue realized from the sale of an additional unit of the commodity given that sales are already at a certain level. The derivative R' of the function R measures the rate of change of the revenue function.

We know that the daily marginal revenue function is given by

$R'(x) = -0.1x+40$

(a) To find the the daily total revenue you must:

Integrate the daily marginal revenue function,

$\int R'(x)dx = \int(-0.1x+40)dx\\\\R(x)=-\int \:0.1xdx+\int \:40dx\\\\R(x)=-0.05x^2+40x+C$ ,

where C is a constant.

Find the value of C, using the fact that if you sell 0 units your daily revenue is $0.

$0=-0.05(0)^2+40(0)+C\\C=0$

$R(x)=-0.05x^2+40x$

The daily total revenue realized from the sale of 210 units of the toaster oven is

x = 210 units

$R(210)=-0.05(210)^2+40(210)\\R(210)=-210^2\cdot \:0.05+8400\\R(210)=-2205+8400\\R(210)=6195$

(b) To find the additional revenue realized when the production (and sales) level is increased from 210 to 310 units you must:

Find the daily total revenue realized from the sale of 310 units

$R(310)=-0.05(310)^2+40(310)\\R(310)=-310^2\cdot \:0.05+12400\\R(310)=-4805+12400\\R(310)=7595$

The additional revenue realized when the production (and sales) level is increased from 210 to 310 units is

$R(310)-R(210)=7595-6195=1400$

3 0

4 years ago

A retangular athletic field is twice as long as it is wide. If the perimeter of the athletic field is 180 yards, what are its di

pishuonlain [190]

W= width
l= 2w= length

Perimeter of a Rectangle Formula
P= 2(l + w)
substitute 2w for l in equation

180= 2(2w + w)
multiply 2 by parentheses

180= 4w + 2w
combine like terms

180= 6w
divide both sides by 6

30 yards= w

LENGTH
2w= 2(30)= 60 yards

CHECK:
180= 30 + 60 + 30 + 60
180= 90 + 90
180= 180

ANSWER: the width is 30 yards and the length is 60 yards

Hope this helps! :)

5 0

3 years ago