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Alecsey [184]
2 years ago
15

Simplify -3d^-8(-4d^-14)

Mathematics
2 answers:
Brut [27]2 years ago
7 0

Answer:

\large\boxed{12d^{-22}=\dfrac{12}{d^{22}}}

Step-by-step explanation:

(-3d^{-8})(-4d^{-14})=\bigg((-3)(-4)\bigg)\bigg((d^{-8})(d^{-14})\bigg)\\\\\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=12d^{-8+(-14)}=12d^{-22}

\text{You can use}\ a^{-n}=\dfrac{1}{a^n}\\\\12d^{-22}=12\cdot\dfrac{1}{d^{22}}=\dfrac{12}{d^{22}}

Lunna [17]2 years ago
7 0

Answer:

12 / d^22.

Step-by-step explanation:

-3d^-8(-4d^-14)

= (-3*-4) d^(-8+-14)

= 12d^-22

= 12 /d^22.

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Which of these r-values represents the weakest correlation? A.-0.55 B -0.45 C -0.25 D -0.35
irakobra [83]
The smaller the magnitude of the correlation, the weaker the correlation.  The magnitude of -0.25 is 0.25, the smallest correlation magnitude.  
6 0
2 years ago
Two-digit natural numbers are formed, with replacement, from the digits 0 through 9.
alexdok [17]

Answer:

The first digit of a two digit number can be any of digits 1 - 9. It cannot be 0 though. Therefore there are 9 possible digits for the first place.

There are 5 possible digits for the second position. The two digit number has to be odd and therefore the final digit must be 1,3,5,7 or 9

Therefore for each and every one of the nine first digits there are 5 digits that the second can be.

Therefore ANSWER = 9 * 5 = 45 possible permutations.

2. The largest two digit number = 99

Subtract 57 and you get 42

ANSWER = 42

The forty two numbers are 58 ,59, 60, 61......98, 99

7 0
2 years ago
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The box plots show the weights, in pounds, of the dogs in two different animal shelters.
leva [86]

Answer:

The median weight for shelter A is greater than that for shelter B.

The median weight for shelter B is greater than that for shelter A.

The data for shelter A are a symmetric data set.

The data for shelter B are a symmetric data set.

The interquartile range of shelter A is greater than the interquartile range of shelter B.

5 0
2 years ago
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2.8 meters linen divided into 45 cm pieces = # of pieces and waste
pogonyaev
2.8 meter= 2800cms

To solve this, we can create a simple algebraic equation:
45x=2800
Divide both sides by 45.
(45x)/45=(2800)/45
x=62.222

You can make 62 full pieces.

To find the waste, multiply the numbers of pieces by the length of each.
62*45
=2790
2800-<span>2790
=10 centimeters

There would be 10 centimeters of wasted linen.

Hope this helps!
-Benjamin</span>
6 0
2 years ago
A multiple choice question has 18 possible​ answers, only one of which is correct. Is it​ "significant" to answer a question cor
yan [13]

Answer:

It is not ''significant''

Step-by-step explanation:

Let's call the event

A : ''Answer a question correctly if a random guess is made''

Now we calculate the probability for the event A

P(A)=\frac{cases where A occurs}{total cases}

In the exercise A occurs in only one way and the total cases are the number of possible answers

Total cases = 18

P(A)=\frac{1}{18} =0.0555555

An event B is ''significant'' if P(B)\leq 0.05

P(A)=0.0555555

⇒A it is not a ''significant'' event

8 0
2 years ago
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