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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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Graph the line that has a slope of 1/4 and includes the point (0,8)
Alex787 [66]

Step-by-step explanation:

Equation of line:

y = mx + c

where m is the slope

and c is the y-intercept (the value of y when x = 0)

In this case, given the slope = 1/4

and y-intercept is 8 (from the point (0,8))

The equation of the following line is:

y =  \frac{1}{4} x + 8

3 0
2 years ago
Help me Solve 1/6 ÷ 2/6 please
pochemuha
\frac{1}{6} ÷ \frac{2}{6}

First, apply this following rule: a ÷ \frac{b}{x} = a × \frac{c}{b}
\frac{1}{6} × \frac{6}{2}
Second, apply this following rule: \frac{a}{b} × \frac{c}{d} =  \frac{ac}{bd}
\frac{1x6}{6x2}
Third, multiply 1 × 6 to get 6 and 6 × 2 to get 12.
\frac{6}{12}
Fourth, find the GCF of 6 and 12. 
Factors of 6: 1, 2, 3, 6
Factors of 12: 1, 2, 3, 4, 6, 12
The GCF is 6.
Fifth, divide the numerator by the GCF.
6 ÷ 6 = 1
Sixth, divide the denominator by the GCF.
12 ÷ 6 = 2
Seventh, collect the new numerator and new denominator.
\frac{1}{2}

Answer as fraction: \frac{1}{2}
Answer as decimal: 0.5

8 0
3 years ago
George is throwing a party for his son's 9th birthday he orders for sandwiches to the party if each person will eat 2/3 of a san
ddd [48]

Answer:

George can feed 6 people.

Step-by-step explanation:

Given:

Number of sandwiches = 4

Each person eats two-third of a sandwich.

Therefore, number of persons eating 4 sandwich is given as:

\textrm{Number of persons} =\frac{\textrm{Total sandwiches eaten}}{\textrm{Total sandwiches eaten by 1 person}}

Therefore,

\textrm{Number of persons} = \frac{4}{\frac{2}{3}}\\\\\textrm{Number of persons} =4\times \frac{3}{2}=6

7 0
3 years ago
Write the decimal equivalent for this fraction 70/100
d1i1m1o1n [39]

Answer:

0.7 is the decimal equivalent to 70/100.

Step-by-step explanation:

You can just do the numerator (70) divided by the denominator (100): 70÷100 = 0.7

8 0
2 years ago
The area of the rectangle shown is 200 square units. Find the volume of x
VladimirAG [237]

Answer:

200/5=40

40/2=20+5=25

25x8=200

40 is X.

Step-by-step explanation:

3 0
3 years ago
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