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Sunny_sXe [5.5K]
2 years ago
7

5^x × 25^2= 5^12solve carefully.​

Mathematics
2 answers:
bearhunter [10]2 years ago
6 0

Answer:

8

Step-by-step explanation:

It is shown in figure

thank you

kondor19780726 [428]2 years ago
3 0

5^x .25^2=5^{12}\\5^x=5^{12}:25^2\\5^x=5^{12}:(5^2)^2\\5^x=5^{12}: 5^{4}\\5^x=5^{12-4}\\5^x=5^8\\=>x=8

ANSWER: x = 8

ok done. Thank to me :>

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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
Slice for the missing sides 45-45-90 triangle. show work thank you
Lelu [443]

Answer:

x and y are 5.66 units

Step-by-step explanation:

The triangle above is a right angled triangle ; and can be solved using trigonometric relation :

Using :

Sin 45 = opposite / hypotenus

Opposite = y ; hypotenus = 8

Sin 45 = y/8

y = sin 45 * 8

y = 5.66 units

Side length x ;

Sin 45 = opposite / hypotenus

Sin 45 = x / 8

x = sin 45 * 8

x = 5.66 units

3 0
2 years ago
The radius of circle A is r cm. The radius of circle B is twice the radius of circle A. What difference between the circumferenc
avanturin [10]

9514 1404 393

Answer:

  2πr cm

Step-by-step explanation:

The circumference of a circle of radius r is ...

  C = 2πr

For a radius of (r cm), the circumference is ...

  A = 2π(r cm) = 2πr cm

For a radius of (2r cm), the circumference is ...

  B = 2π(2r cm) = 4πr cm

Then the difference between the circumferences is ...

  B -A = (4πr cm) -(2πr cm) = 2πr cm . . . . difference in circumference

3 0
2 years ago
What is the value of x?<br> sin 55' = COS 3<br> Fnter your answer in the box
vivado [14]
Bro be careful with the link
6 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B5%7D%20%20%2B%20%20%5Cfrac%7B1%7D%7B3%7D%20" id="TexFormula1" title="\frac{3}
Scrat [10]
The answer would be 14/15

Find a common denominator that both of the fractions can use. An easy way to do this is simply multiply the denominators together. So for 3/5 you would multiply by 3 to get the fraction 9/15 and then multiply 1/3 by 5 to get 5/15. Add both 9/15 and 5/15 to then get 14/15.
4 0
3 years ago
Read 2 more answers
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