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Alina [70]
3 years ago
11

Which pair of numbers is relatively prime?

Mathematics
1 answer:
Kazeer [188]3 years ago
3 0

Answer: C. 625 and 81

Step-by-step explanation: A relatively prime pair is a pair in which in both numbers given, the only number that can go into each number is one. In 112 and 36, we know 2 can evenly go into each number because they both end in a positive number (112/2 is 56 and 36/2 is 18.) This means A is incorrect. As for B, 11 can evenly go into each number, leaving you with 25 and 7. B is incorrect. And then there's D. 5 can go into each number giving you 160 and 19. D is incorrect.

C is correct because the only numbers that can go evenly into 81 is 1, 3, 9, 27, and 81. None of these numbers, except one can go into 625 also.

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What is the maximum height of of Anna's golf ball? The equation is y=x−0.04x2.
elena-s [515]

Given:

The height of a golf ball is represented by the equation:

y=x-0.04x^2

To find:

The maximum height of of Anna's golf ball.

Solution:

We have,

y=x-0.04x^2

Differentiate with respect to x.

y'=1-0.04(2x)

y'=1-0.08x

For critical values, y'=0.

1-0.08x=0

-0.08x=-1

x=\dfrac{-1}{-0.08}

x=12.5

Differentiate y' with respect to x.

y''=(0)-0.08(1)

y''=-0.08

Since double derivative is negative, the function is maximum at  x=12.5.

Substitute x=12.5 in the given equation to get the maximum height.

y=(12.5)-0.04(12.5)^2

y=12.5-0.04(156.25)

y=12.5-6.25

y=6.25

Therefore, the maximum height of of Anna's golf ball is 6.25 units.

7 0
3 years ago
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gavmur [86]

Answer:

XYZ is similar to ABC

Step-by-step explanation:

take a ruler and measure the sides

6 0
3 years ago
5x6-1+3=28 brackets or braces should be added
Artyom0805 [142]
5 · (6 - 1) + 3
= 5·5 + 3
= 25 + 3
= 28
7 0
3 years ago
HELP NEEDED ASAP! Thanks :)
Arlecino [84]

Answer:

3

Step-by-step explanation:

First we must find the total boxes of pens

15 + 9 = 24

Then we can divide the total cost by the total number of boxes of pens

$72 / 24 boxes = 3

4 0
2 years ago
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Rufina [12.5K]

Answer:

b^-6

Step-by-step explanation:

(b^-2) / (b^4) = b^(-2 - 4)

3 0
3 years ago
Read 2 more answers
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