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Leona [35]
3 years ago
9

2 to the power of 4 x 2 to the power of 9 x 2

Mathematics
1 answer:
attashe74 [19]3 years ago
6 0

Answer: 8^2 18^2

Step-by-step explanation: The way that you figure out the power is by multiplying the 4x2=8 than the 9x2=18 than you raise them both to the second power.

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Is the solutipn shown below correct? Explain. 9x+2=8x^2+6x
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the answer is not correct

there is a sign error under the radical

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Step-by-step explanation:

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A building contractor has a piece of crown molding that is 48 1/2 inches long. He cuts off one piece measuring 10 1/4 inches and
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The correct answer is 36 1/8
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The marker cost 1/3 as a pen.The pen cost 1/3 as much as the book.The book cost 1/3 as much as the game. The price of the marker
creativ13 [48]
Let the price of game, marker, pen and book be $w, x, y and z.

x =  \frac{1}{3} y
y =  \frac{1}{3} z
z =   \frac{1}{3} w
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4 0
3 years ago
A school has 1800 students and 1800 light bulbs, each with a pull cord and all in a row. All the lights start out off. The first
Gnom [1K]

<u>Solution-</u>

A school has 1800 students and 1800 light bulbs, each with a pull cord and all in a row.

As all the lights start out off, in the first pass all bulbs will be turned on.

In the second pass all the multiples of 2 will be off and rest will be turned on.

In the third pass all the multiples of 3 will be off, but the common multiple of 2 and 3 will be on along with the rest. i.e all the multiples of 6 will be turned on along with the rest.

In the fourth pass 4th light bulb will be turned on and so does all the multiples of 4.

But, in the sixth pass the 6th light bulb will be turned off as it was on after the third pass.

This pattern can observed that when a number has odd number of factors then only it can stay on till the last pass.

1 = 1

2 = 1, 2

3 = 1, 3

<u>4 = 1, 2, 4</u>

5 = 1, 5

6 = 1, 2, 3, 6

7 = 1, 7

8 = 1, 2, 4, 8

9 = 1, 3, 9

10 = 1, 2, 5, 10

11 = 1, 11

12 = 1, 2, 3, 4, 6, 12

13 = 1, 13

14 = 1, 2, 7, 14

15 = 1, 3, 5, 15

16 = 1, 2, 4, 8, 16

so on.....

The numbers who have odd number of factors are the perfect squares.

So calculating the number of perfect squares upto 1800 will give the number of light bulbs that will stay on.

As,  \sqrt{1800} =42.42  , so 42 perfect squared numbers are there which are less than 1800.

∴ 42 light bulbs will end up in the on position. And there position is given in the attached table.

7 0
3 years ago
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