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3 years ago

7

The combination lock has three wheels, each numbered from 0 to 9. What is the probability that someone randomly guesses the corr

ect combination in one attempt?

1 answer:

Bas_tet [7]3 years ago

8 0

1 in 729 attempts
9x9x9

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PLZ HELP! Determine the value of k. Round your answer to the nearest hundredth if necessary.

Anton [14]

Answer:15

Step-by-step explanation

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3 years ago

Use the formula to evaluate the series 1/4 + 1/9 + 1/27 + 1/81.

Dmitriy789 [7]

Is the first term supposed to be 1/4, or did you actually mean 1/3?

I'll assume the latter. Write

$S=\dfrac13+\dfrac19+\dfrac1{27}+\dfrac1{81}$
$S=\dfrac13+\dfrac1{3^2}+\dfrac1{3^3}+\dfrac1{3^4}$
$\dfrac13S=\dfrac1{3^2}+\dfrac1{3^3}+\dfrac1{3^4}+\dfrac1{3^5}$
$\implies S-\dfrac13S=\dfrac13-\dfrac1{3^5}$
$\dfrac23S=\dfrac13\left(1-\dfrac1{3^4}\right)$
$S=\dfrac12\left(1-\dfrac1{81}\right)$
$S=\dfrac{40}{81}$

8 0

3 years ago

If f(×)=2×^2+3, then which of the following represent f(-1)?

eimsori [14]

To find the inverse of this function, we first need to replace f(x) with y.

y = 2x^2 + 3

Now, we swap x and y

x = 2y^2 + 3

Now, we solve for y.

-3

x - 3 = 2y^2

Sqrt both sides.

√(x - 3) = 2y

Divide by 2

√(x - 3)/2 = y

Replace y with f^-1(x)

√(x - 3)/2 = f^-1(x)

Just realized you were asking for f(-1), not f^-1(x)

Feels bad.

f(-1) = 2(-1^2 + 3)

f(-1) = 2(-1^5)

f(-1) = 2(-1)

<u>f(-1) = -2</u>

I'm leaving the original answer in case you also need the inverse function. :)

3 0

3 years ago

What is the main reason for living things to go through the process of cellular respiration? *

Amanda [17]

Answer:

to produce energy

SORRY IF IM WRONG

::::::)

Step-by-step explanation:

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3 years ago

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Express 7p+12=3p+11 as an equivalent equation by combining constants

meriva

$7p+12=3p+11 \\ \\7p-3p=11-12\\ \\4p=-1 \ \ /:4\\ \\p=-\frac{1}{4}$

8 0

3 years ago

Read 2 more answers