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Natasha_Volkova [10]
3 years ago
10

Solve the following system of equations graphically.

Mathematics
2 answers:
alina1380 [7]3 years ago
7 0
<span>y - 4 = 0 so y = 4

</span><span>2x - 4 - 2 = 0
2x = 6
x = 3

(3, 4) is the solution

answer is </span><span>{(3, 4)} (last choice)</span>
NemiM [27]3 years ago
5 0
The correct answer is C.
(3,4) 
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telo118 [61]

Answer:

The volume increases at a rate of 125663.71 mm^ 3 / s

Step-by-step explanation:

The rate of change of the radius with respect to time is 4 mm / s.


So:


\frac{dr}{dt} = 4mm / s

Now we must find a relationship between the volume of a sphere and its radius.


The equation of the volume of a sphere is:


V = \frac{4}{3}\pi r^ 3

So:


\frac{dV}{dt} = \frac{4}{3}\pi * 3r ^ 2 * \frac{dr}{dt}\\\frac{dV}{dt} = 4\pi r ^ 2 * 4\\\frac{dV}{dt} = 16\pi r ^ 2

The diameter of the sphere is 100 mm. Therefore its radius is 100/2 = 50 mm.


So:


\frac{dV}{dt} = 16\pi (50) ^ 2\\\frac{dV}{dt} = 40000\pi mm^3 / s


The volume increases at a rate of :

40000 π mm ^ 3 / s = 125663.71 mm^3/s

7 0
3 years ago
Find the unit rate: 120 pencils in 3 boxes
Elena L [17]

Answer: 120=3

                 /3   /3

                    40=1

Step-by-step explanation:unit rate 40:1

3 0
4 years ago
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3 years ago
Adam sells medical magazine and books. the table shows price for both Magazine £8
kumpel [21]

Adam earned a total of £265.10 last week.

Step-by-step explanation:

Step 1; Adam earns a basic pay of £200 each week. He earns 10% of the magazine price for each sold  and 15% of the book price for each sold. Each magazine costs £8 and each book costs £15. He sells 42 magazines and 14 books.

Money earned for selling a magazine = 10% × £8 = 0.10 × £8 = £0.80,

Money earned for selling a book = 15% × £15 = 0.15 × £15 = £2.25,

Money earned for selling 42 magazines = 42 × £0.80 = £33.60,

Money earned for selling 14 books = 14 × £2.25 = £31.50,

Money earned for selling 42 magazines and 14 books = £33.60 + £31.50 =  £65.10.

Step 2; Now we have to calculate his last week's salary which is his weekly pay and his earnings from selling magazines and books. We found that he earned £31.50 from selling books and magazines. His weekly salary is £200.

Last week's salary =  £200 +  £65.10 = £265.10.

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3 years ago
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Answer:

10

Step-by-step explanation:

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