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Tanzania [10]
3 years ago
8

What is the volume of a cylinder with a hight of 9 cm and a diameter of 6

Mathematics
2 answers:
USPshnik [31]3 years ago
5 0
Our answer is <span>254.47 bacause of the formula for volume of a cylinder  v=pi r^2h</span>
natali 33 [55]3 years ago
3 0
The volume of the cylinder with a hight of 9 cm and a dismeter of 6 is 254.5 cm^3
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Step-by-step explanation:

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2 years ago
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Can somebody help me with this problem
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First substitute y=5x+7 so that would turn into 5x+7=6x

Then, isolate/solve for x for 5x + 7 = 6x, in this problem x=7

Substitute x=7 into y=5x+7

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3 years ago
Fit a quadratic function to these three points:<br> (-2,8), (0, -4), and (4, 68)<br> Respuesta
zloy xaker [14]

Answer:

f(x) = 4x^2 + 2x - 4.

Step-by-step explanation:

Let the quadratic function be y = f(x) = ax^2 + bx + c.

For the point (-2, 8)  ( x = -2 when y = 8) we have:

a(-2)^2 + (-2)b + c = 8

4a - 2b + c = 8      For (0, -4) we have:

0 + 0 + c = -4   so c = -4.    For (4, 68) we have:

16a + 4b + c = 68  

So we have 2 systems of equations in a and b ( plugging in c = -4):

4a - 2b - 4 = 8

16a + 4b - 4 = 68

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16a + 4b = 72    Multiplying 4a - 2b = 12 by 2 we get:

8a - 4b = 24  

Adding the last 2 equations:

24a = 96

a = 4

Now plugging a = 4 and c = -4 in the first equation:

4(4) - 2b - 4 = 8

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3 years ago
How many 4-digit numbers are neither multiples of 2 nor multiples of 5?
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There are 10,000 total four-digit numbers (1000 through 9999).

Multiples of 2 end in 0, 2, 4, 6, and 8. There are 9*10*10*5 = 4500 four-digit multiples of 2.

Multiples of 5 end in 0 or 5. There are 9*10*10*2 = 1800 four-digit multiples of 5.

There is redundancy between the two sets of numbers, namely those that end in 0, which are both multiples of 2 and 5. There are 9*10*10*1 = 900 four-digit multiples of both 2 and 5.

Then there are 4500 + 1800 - 900 = 5400 total four-digit numbers that are either multiples of 2 or 5, which means the remaining 4600 numbers are neither multiples of 2 nor 5.

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