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MA_775_DIABLO [31]
3 years ago
9

Radius of a cylinder is 6 inches and the

Mathematics
1 answer:
sammy [17]3 years ago
6 0

Answer:

V≈1470.27

Step-by-step explanation:

V=πr2h=π·62·13≈1470.26536

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Quadrilateral ABCD is inscribed in circle O.
Komok [63]
Angle C would equal 59 degrees
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3 years ago
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Please describe a pattern for each sequence. Then find the next two numbers. Using inductive reasoning.
Mamont248 [21]

Answer: the first adds increasingly by 1 every time. (+6,+7,+8...) the next two numbers are 35 and 45.

The second multiplies increasingly by one every time. (x5,x6,x7...) and the next two numbers are 1680 and 13,440

5 0
3 years ago
This table represents a quadratic function with a vertex at (1, 1). What is the
erastova [34]

The average rate of change on the interval (5, 6) is 9. So the correct option is D.

<h3>How to find the average rate of change on the interval?</h3>

Here we want to find the average rate of change of f(x), the function on the table, on the interval (5, 6).

This is just:

r = \frac{f(6) - f(5)}{6 - 5}

f(x) = a*x^2 + b*x + c

I we look at the table we see that:

f(1) = 1 = a + b + c

f(2) =2 =  4a + 2b + c

f(3) = 5 = 9a + 3b + c

This is a system of equations.

If we subtract the second and first functions, we get:

2 - 1 = (4a + 2b +c) - (a + b + c)\\1 = 3a + b = a + b + c

From that we take two relations:

1 - 3a = b\\2a = c

Now we can replace these two in the last equations so we get:

5 = 9a + 3b + c\\\\5 = 9a + 3*(1 - 3a) + 2a\\\\5 = 9a + 3 - 9a + 2a\\\\5 = 3 + 2a\\\\5 - 3 = 2a\\\\2 = 2a\\\\a = 1

Now that we know the value of a:

c = 2a = 2*1 = 2\\\\b = 1 - 3a = 1 - 3 = -2

The quadratic equation is:

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

Evaluating this in x = 6 we get:

f(6) = 6^2  - 2*6 + 2 = 26

And from the table we know that f(5) = 17, then the average rate of change is:

r = \frac{f(6) - f(5)}{6 - 5} = \frac{26-17}{1} = 9

The correct option is D.

If you want to learn more about average rates of change:

brainly.com/question/8728504

#SPJ1

4 0
2 years ago
Help me please I can’t do this anymore it’s so hard
never [62]

Answer:

2

Step-by-step explanation:

Don't really know how to explain it. OmniCalculator is very helpful.

Hope that this helps!

6 0
3 years ago
I need help on number 6 please help
lions [1.4K]
Mean = all numbers added up ÷ amount of numbers So 22 + 24 + 26 + 20 + 29 + 28 + 26 = 175 175 ÷ 7 = 25 for mean Median = middle number when arranged in order 20, 22, 24, 26, 26, 28, 29. Middle number is 26. Mode = most frequent number Also 26 because it appears twice whereas all the other numbers only appear once. Range = highest number - lowest number 29 - 20 = 9.
6 0
3 years ago
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