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algol13
3 years ago
12

PLEASE HELP!!

Mathematics
1 answer:
Lyrx [107]3 years ago
4 0

Answer:

The answer to your question is the last choice

Step-by-step explanation:

                               (4z^{8})^{-3}

Process

1.- Use the exponent law "Power"

                               4^{-3} z^{(8)(-3)}

2.- Simplify

                               4^{-3} z^{-24}

3.- Use the exponent law "Negative exponent"

                               \frac{1}{4^{3} z^{24}}

                               \frac{1}{64z^{24}}

4.- Conclusion    

He should have applied the exponent -3 to 4 to get   \frac{1}{64z^{24}}            

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nika2105 [10]
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8 0
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What is the y-intercept of the function f(x) = –2/9x + 1/3?
marishachu [46]
<span>f(x) = –2/9x + 1/3
</span>y -intercept when x = 0
so
f(x) = –2/9(0) + 1/3 then f(x) = 1/3

answer
<span>y-intercept </span>(0, 1/3)
4 0
3 years ago
Read 2 more answers
Noah wants to clean his second story windows and plans to buy a ladder that will reach at least
Lina20 [59]

Answer:

Noah should buy a ladder of length greater than <u>28.1 ft</u> to reach at least 22 feet height.

Step-by-step explanation:

Given:

Noah has to reach at least 22 ft height.

Angle made by the base of ladder with the ground = 51.5°

To find the length of the ladder.

Solution:

On drawing the situation, we get a right triangle. The hypotenuse of the triangle represents the length of the ladder.

In triangle ABC.

∠C = 51.5°

AB = 22 ft

Applying trigonometric ratio to find AC (length of the ladder).

\sin\theta = \frac{Opposite\ side}{Hypotenuse}

\sin C=\frac{AB}{AC}

Plugging in values.

\sin 51.5\°=\frac{22}{AC}

Multiplying AC both sides.

AC\sin 51.5\°=\frac{22}{AC}\times AC

AC\sin 51.5\°=22

Dividing both sides by \sin 51.5\°

\frac{AC\sin 51.5\°}{\sin 51.5\°}=\frac{22}{\sin 51.5\°}

AC=\frac{22}{\sin 51.5\°}

AC=28.1\ ft

Thus, Noah should buy a ladder of length greater than 28.1 ft to reach at least 22 feet height.

5 0
3 years ago
(Picture) INFINITE SEQUENCES AND SERIES PLEASE HELP!!
mojhsa [17]

Answer:

C) x=\frac{17}{33}

Step-by-step explanation:

0.51 repeating decimal

x= 0.51515151

multiply by 100 on both sides

100x = 51.515151.........

     x=    0.515151...............

--------------------------------------------(subtract)

   99x = 51

divide by 99 on both sides

x=\frac{51}{99}

divide both sides by 3

x=\frac{17}{33}


5 0
3 years ago
Is 11/15 repeating? If not, how many places does it take to terminate?
11111nata11111 [884]

Answer:

repeating due to the denominator

Step-by-step explanation:

11/15 = (11/5)×(1/3)

11/5 terminates after 1 place.

but 1/3 is repeating due to the denominator, and that propagates into the result of the multiplication.

5 0
3 years ago
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