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3 years ago

14.

Mathematics

1 answer:

almond37 [142]3 years ago

3 0

Step-by-step explanation:

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Which equation can be used to solve for x?

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$\cos(x) = \frac{24}{30}$

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2 years ago

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Please help I don’t understand!!

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Answer:

The length of each edge of the cube is 1 unit.

Step-by-step explanation:

Volume of the cube = x * x * x = x^3

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3 years ago

Alex scored 13 points in the basketball game this was 1/5 of the total points the team scored write and solve an equation to det

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3 years ago

Factor: 64v^4 - 225w^10

love history [14]

Answer:

( $8v^2-15w^5)(8v^2+15w^5)$

Step-by-step explanation:

STEP 1:

$8^{2}$ $v^{2*2}$ - $15^{2}$ $w^{2*5}$

STEP 2:

$8^{2}$ * $(v^{2})^{2}$ - $15^{2} * (w^{5})^{2}$

STEP 3:

$(8v^2)^2 - (15w^5)^2$

STEP 4:

( $8v^2-15w^5)(8v^2+15w^5)$

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3 years ago

How many of the first million positive integers share no common factors greater than 1 with 2020

Bingel [31]

9514 1404 393

Answer:

396,040

Step-by-step explanation:

Factors of 2020 are 2, 5, 101.

There are 1,000,000 / 1010 = 990 multiples of 2 and 5 and 101.

There are 1,000,000 / 505 -990 = 990 multiples of 5 and 101 only.

There are 1,000,000 / 202 -990 = 3,960 multiples of 2 and 101 only.

There are 1,000,000 / 10 - 990 = 99,010 multiples of 2 and 5 only.

There are 1,000,000 / 101 -990 -990 -3960 = 3,960 multiples of 101 only.

There are 1,000,000 / 5 -990 -990 -99,010 = 99,010 multiples of 5 only.

There are 1,000,000 / 2 -990 -3960 -99,010 = 396,040 multiples of 2 only.

So, the total number of multiples of any factor of 2020 is ...

990 +990 +3960 +99,010 +3960 +99010 +396040 = 603960

Then the number of integers in the first million that do not share any common factors greater than 1 with 2020 is ...

1,000,000 -603,960 = 396,040

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3 years ago