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Tatiana [17]
3 years ago
11

An offshore oil well is leaking oil and creating a circular oil slick. If the radius of the slick is growing at a rate of 2 mile

s/hour, find the rate at which the area is increasing when the radius is 3 miles. (The area of a disc of radius r is
Mathematics
1 answer:
Genrish500 [490]3 years ago
5 0

Answer:

  37.7 mi²/h

Step-by-step explanation:

The area formula is ...

  A = πr²

Differentiating with respect to time gives ...

  dA/dt = 2πr·dr/dt

Filling in the given values, we have ...

  dA/dt = 2π(3 mi)(2 mi/h) = 12π mi²/h

The area is increasing at the rate of about 37.7 mi² per hour.

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How many minutes did Todd use in October
Natalija [7]

Answer:

100 minutes cost Todd $24. He had extra bill of 26.38 - 24 = $2.38

$2.38 = 238 cents

7 cents billed for 1 extra minute

1 cents billed for 1/7 extra minute

238 cents billed for 238/7 = 34 extra minutes

total minutes = 134 minutes

4 0
2 years ago
Write 2.06 X 1010 in standard form.​
pav-90 [236]

Answer:

20,600,000,000

Step-by-step explanation:

When writing a number in standard notation from scientific notation, counting decimal places is important. In this case, the exponent of 10 is 10. That means the decimal place must be moved 10 places; since it is positive the decimal place should be moved to the right. Finally, fill any empty spaces when moving the decimal point with zeros.

4 0
3 years ago
Perform the addition or subtraction and simplify. (20 points)
pentagon [3]
You have to find the LCD or least common denominator.
In this case the LCD would be (x-6)(x+5).

Problem: x/ x-6 - 1/x+5

Step 1: multiply x-6 to the numerator and denominator of 1/x+5

1(x-6)/ (x+5)(x-6)

Step 2: multiply x+5 to the numerator and denominator of x/x-6
x(x+5)/ (x+5)(x-6)

After all that, this is how the problem should look now

x(x+5)/ (x-6)(x+5) - 1(x-6)/ (x-6)(x+5)

If you simplify this you get

x²+5x-x+6/ (x-6)(x+5)

If you subtract both 5x-x (like terms) you get

x²+4x+6/ (x-6)(x+5)
which is the answer

7 0
3 years ago
Evaluate 4/x for x = -2/3
KonstantinChe [14]

4/x where x= -2/3

4/(-2/3)

(4/1) / (-2/3)

(4/1) * (3/-2)

12/-2

-6

Hope this helps! :)

4 0
3 years ago
What is the solution to 6x-7=13
docker41 [41]

Answer:

x=3.3333 in decimal, x=10/3 in improper fraction form

Step-by-step explanation:

Given -> 6x-7=13

Add 7 to both sides -> 6x=20

Divide both sides by 6 -> x=20/6

Simplify by a factor of 2 -> x=10/3

Convert to decimal form -> x=3.333333

4 0
3 years ago
Read 2 more answers
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