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Triss [41]
3 years ago
15

If p(x) = 5(x² + 1) + 16, what is value of p(11)?

Mathematics
1 answer:
Nookie1986 [14]3 years ago
8 0

Answer: The answer is 626

Step-by-step explanation:

Substitute 11 for x, you get 626.

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angle D is 90⁰

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Who is the dictator of USSR
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No. Leaders Date of death

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4 Nikita Khrushchev September 11, 1971

Step-by-step explanation:

4 0
3 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
The distribution of certain test scores is a nonstandard normal distribution with a mean of 50 and a standard deviation of 6. Wh
love history [14]

Answer:

Mean value is 0 and standard deviation is 1 after all test scores have been standardized by converting them to ​z-scores using z

Step-by-step explanation:

In a standard normal distribution (also called as <em>Gaussian distribution</em>) all values of the sample can be projected to a normal distribution with mean 0 and standard deviation 1 using their z-scores.

z-score of a value X can be calculated as follows:

z=\frac{X-50}{6} where

  • 50 is the <em>mean of the test scores</em>
  • 6 is the <em>standard deviation of test scores</em>
6 0
4 years ago
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