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rjkz [21]
3 years ago
15

How do you do perimeters

Mathematics
1 answer:
VladimirAG [237]3 years ago
8 0
Add up all the sides
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The marginal price per pound (in dollars) at which a coffee store is willing to supply x pounds of Jamaican Blue Mountain coffee
il63 [147K]

Answer:

Thus, the coffee shop is willing to supply 6 pounds per week at a price of $4 per pound.

Step-by-step explanation:

We are given the following information in the question:

The marginal price per pound (in dollars) is given by:

p'(x) = \displaystyle\frac{208}{(x+7)^2}

where x is the supply in pounds.

P(x) = \displaystyle\int p'(x)~dx =\displaystyle\int\displaystyle\frac{208}{(x+7)^2}~dx\\\\P(x) = \frac{-208}{(x+7)} + c\\\\\text{where c is the constant of integration.}

The coffee shop is willing to supply 9 pounds per week at a price of $7 per pound.

Thus, we are given that

P(9) = 7

Putting the values, we get,

P(x) = \displaystyle\frac{-208}{(x+7)} + c\\\\P(9) = 7\\\\\displaystyle\frac{-208}{(9+7)} + c = 7\\\\c = 7 + \frac{208}{16} = 20

P(x) = \displaystyle\frac{-208}{(x+7)} + 20

Now, we have to find how many pounds it would be willing to supply at a price of $4 per pound.

P(x) = 4

P(x) = \displaystyle\frac{-208}{(x+7)} + 20 = 4\\\\\frac{-208}{x+7} = -16\\\\x + 7 = 13\\x = 6

Thus, the coffee shop is willing to supply 6 pounds per week at a price of $4 per pound.

3 0
3 years ago
Calculate a57 for the sequence
daser333 [38]

Answer:

A) 78

Step-by-step explanation:

The given sequence is an arithmetic sequence.

Here A1 = -6, common difference = (3/2)

nth term An = a1 + (n -1)d

A57 = -6 + (57 -1)3/2

= -6 + (56)*3/2

= -6 + 28*3

= -6 + 84

A57 = 78

Thank you.

7 0
3 years ago
Find the area of circle with a radius of 2 in exact terms​
ss7ja [257]

Answer:

12.56 (13 if rounded)

Step-by-step explanation:

A=pi x r squared

A=2 squared multiplied by pi

A=4 times pi

plug into calculator should be about 12.56

7 0
4 years ago
Which sequence of transformations will produce similar but not congruent figures?
RoseWind [281]
A dilation would produce<span> a </span>similar figure. Therefore, the sequence of transformations that will produce a similar but not congruent figures would be the first and the third option. Figure TUVWX is dilated by a scale factor of 6 and then rotated 90° counterclockwise around the origin; and f<span>igure TUVWX is reflected across the x-axis and dilated by a scale factor of 7. Hope this answers your question.</span>
3 0
3 years ago
Can someone help me with this question if two figures are similar but not congruent, how are they alike, and how are they differ
kenny6666 [7]
Two figures are similar if they have the same shape but not necessarily the same size although they are the same shape they are different sizes
3 0
3 years ago
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