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Sladkaya [172]
3 years ago
10

If f(1) = 2 and f(n) = f(n − 1)2 + 3 then find the value of f(3).

Mathematics
1 answer:
blondinia [14]3 years ago
3 0

Answer:

52

Step-by-step explanation:

f(n) is purely based on the previous value of f(n), or f(n-1), so we can start with f(1) and work our way up. We know f(1) = 2, so to find f(2), we plug f(1) into

f(n-1)²+3 to get

f(1)²+3 = 2²+3 = 4+3=7

Thus, f(2) =7. Similarly,

f(3) = f(3-1)²+3 = f(2)² + 3 -= 7² + 3= 52

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Step-by-step explanation:

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How many cylindrical can of bottles 12 cm high and with 6 cm diameter could be filled from a tank containing 125 liters of deter
Orlov [11]

Answer:

368 cans.

Step-by-step explanation:

Volume of 1 can = π r^2 h.

Here h (height) = 12 and r (radius) = 1/2 * 6 = 3 cm.

So V =  π * 3^2 * 12

= 108π cm^3.

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Number of cans that could be filled = 125000/ 108 π

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3 years ago
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What is the slope of the line that passes through the points (-2,5) and (3,-4) in the standard (x,y) coordinate plane
Scorpion4ik [409]

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3 0
3 years ago
What is 45% of 432? and how?
mr Goodwill [35]
1. We assume, that the number 432 is 100% - because it's the output value of the task. 
<span>2. We assume, that x is the value we are looking for. </span>
<span>3. If 432 is 100%, so we can write it down as 432=100%. </span>
<span>4. We know, that x is 45% of the output value, so we can write it down as x=45%. </span>
5. Now we have two simple equations:
1) 432=100%
2) x=45%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
432/x=100%/45%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 45% of 432

432/x=100/45
<span>(432/x)*x=(100/45)*x       - </span>we multiply both sides of the equation by x
<span>432=2.22222222222*x       - </span>we divide both sides of the equation by (2.22222222222) to get x
<span>432/2.22222222222=x </span>
<span>194.4=x </span>
x=194.4

<span>now we have: </span>
<span>45% of 432=194.4</span>
6 0
4 years ago
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