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Alchen [17]
2 years ago
9

Point X is (3, -6). Wgich point is 10 units away from Point X

Mathematics
1 answer:
vampirchik [111]2 years ago
6 0

If we find the point X on the plane we can see the following:

Notice that the point D and the point X are 10 units apart with respect the x-axis, therefore, the point that is 10 units away from X is point D

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A bag contains 42 red, 45
AlexFokin [52]

Answer:

31

Step-by-step explanation:

First of,

or, in probability is subtraction and not means you shouldn't use green (therefore leaving you with yellow and red)

Red = 42

Yellow = 20

P(Yellow or Not Green) = \frac{R+Y}{2}

⁘ \frac{42+20}{2} = \frac{62}{2}

Hence, 31

7 0
2 years ago
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 <em>R'</em> of the function <em>R</em> 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
Decide whether the relation is a function.
Savatey [412]
Functions cannot have different ranges for the same domains
From what I see, all the domains are different

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5 0
3 years ago
Simplify the expression 4p-5p-30p=
Fudgin [204]

Answer:

-31p

Step-by-step explanation:

........

6 0
3 years ago
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Maru [420]
<span>Store A, because the ratio of the number to the cost is 1:3 in Store A and 1:4 in Store B

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