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BartSMP [9]
3 years ago
6

An oil tank is cylindrical in shaped. The diameter is 100 feet and the height is 30 feet. If oil is drained at a rate of 6000 cu

bic feet per minute, then how many minutes will it take to drain the oil tank.
Mathematics
1 answer:
sergij07 [2.7K]3 years ago
8 0

Answer:

39 minutes (rounded to nearest minute from 39.2699)

Step-by-step explanation:

π(50)^2*30= 235619.449/6000=39.2699

round to nearest minute: 39 minutes

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The population of a type of local dragonfly can be found using an infinite geometric series where a1 = 65 and the common ratio i
hram777 [196]
In mathematics, number sequencing of the same pattern are called progression. There are three types of progression: arithmetic, harmonic and geometric. The pattern in arithmetic is called common difference, while the pattern in geometric is called common ratio. Harmonic progression is just the reciprocal of the arithmetic sequence.

The common ratio is denoted as r. For values of r<1, the sum of the infinite series is equal to

S∞ = A₁/(1-r), where A1 is the first term of the sequence. Substituting A₁=65 and r=1/6:

S∞ = A₁/(1-r) = 65/(1-1/6)
S∞ = 78


6 0
3 years ago
What is the average rate of change of the function over the interval x = 0 to x = 8?
Hatshy [7]

Answer:

if f(x) = 3x+4, the rate of change is 4.

if f(x) = 2x+7, the rate of change is 2.

Step-by-step explanation:

We know that the average rate of change over the interval x=0 to x=8 is:

(f(x2) - f(x1))/x2-x1

Where:

x2 = 8

x1 = 0

if f(x) = 3x+4

so f(8)=3(8)+4 = 28

f(0)=3(0)+4 = 4

Then: (f(x2) - f(x1))/x2-x1 = (28 - 4)/8-0 = 24/8 = 3

On the other hand, if f(x) = 2x+7

f(8) = 2(8)+7 = 23

f(0) = 2(0)+7 = 7

Then: (f(x2) - f(x1))/x2-x1 = Then: 23 - 7/8-0 = 16/8 = 2

8 0
3 years ago
Edwin walks for 2 hours. He walks 1 miles in the first hour, 1 miles in the second hour and 1 of the total distance in the last
Free_Kalibri [48]
Is it 3 miles? From what you wrote, I believe this would be the answer.
6 0
3 years ago
How many solutions are there to the equation below?
romanna [79]

Its Infinitely many solutions then the answer is A

5 0
4 years ago
X-1/x-2+x+3/x-4=2/(x-2).(4-x)
Varvara68 [4.7K]

The given equation x-1/x-2+x+3/x-4=2/(x-2).(4-x) is correct. the answer is proved.

According to the statement

we have given that the equation and we have to prove that the given answer is a correct answer for those equivalent equation.

So, The given expression are:

\frac{x-1}{x-2} +\frac{x+3}{x-4} = \frac{2}{(x-2).(4-x)}

And we have to prove the answer.

So, For this

\frac{x-1}{x-2} +\frac{x+3}{x-4}

\frac{({x-1}) ({x-4}) +({x+3})({x-2})} {(x-2) (x-4)}

Then the equation become

\frac{x^{2} -4x -x +4 + x^{2} -2x + 3x -6 }{(x-2) (x-4)}

Now solve it then

2x^{2} - 4x -2 / (x-2) (x-4)

Now take 2 common from answer then equation become

\frac{x-1}{x-2} +\frac{x+3}{x-4} = \frac{2}{(x-2).(4-x)}

Hence proved.

So, The given equation x-1/x-2+x+3/x-4=2/(x-2).(4-x) is correct. the answer is proved.

Learn more about equations here

brainly.com/question/2972832

#SPJ1

3 0
1 year ago
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