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choli [55]
3 years ago
7

Which is the simplified form of

Mathematics
2 answers:
ahrayia [7]3 years ago
5 0

For this case, we must simplify the following expression:

r ^ {- 7} + s ^ {- 12}

By definition of power properties we have to:

a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}

So, rewriting the expression we have:

\frac {1} {r ^ 7} + \frac {1} {s ^ {12}}

Answer:

\frac {1} {r ^ 7} + \frac {1} {s ^ {12}}

Option D

Rufina [12.5K]3 years ago
4 0

Answer:

 1           1

------ + -------    

r^7      s^12

Step-by-step explanation:

r^(-7) + s^(-12) can be re-written as

 1           1

------ + -------    by putting to use the rule:

r^7      s^12

                1

x^(-a) = ----------

              x^a

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Which function has an inverse that is also a function?
Vlad [161]

keeping in mind that a function does not have any X-Repeats, that is, the 1st coordinate in every pair never repeats, well, in this case, all of them have no X-repeats, that means all of them are functions.  However, only one-to-one functions have an inverse that is also a function.

A one-to-one function is one that has no X-repeats as well as no Y-repeats, so each pair in the set has no coordinate repeats, Check the picture below.

6 0
2 years ago
n=400 people under the age of 25 was asked whether they check social media sites right after they wake up. 42% check social medi
Aliun [14]

Answer:

Step-by-step explanation:

We would set up the hypothesis test.

For the null hypothesis,

p = 0.5

For the alternative hypothesis,

p < 0.5

Considering the population proportion, probability of success, p = 0.5

q = probability of failure = 1 - p

q = 1 - 0.5 = 0.5

Considering the sample,

P = 42/100 = 0.42

We would determine the test statistic which is the z score

z = (P - p)/√pq/n

n = 400

z = (0.42 - 0.5)/√(0.5 × 0.5)/400 = - 3.2

Recall, population proportion, p = 0.5

We want the area to the left of 0.5 since the alternative hypothesis is lesser than 0.5. Therefore, from the normal distribution table, the probability of getting a proportion < 0.5 is 0.00069

So p value = 0.00069

Since alpha, 0.05 > than the p value, 0.00069, then we would reject the null hypothesis.

Therefore, there is significant evidence to conclude that that less than 50% of people under the age of 25 check social media sites right after they wake up.

7 0
3 years ago
?<br> Round to the nearest ten<br> thousand.<br> 674,312
Mariulka [41]

Answer:

670,000

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Karter has 24 T-shirts. Karter has 8 fewer pairs of shoes than pairs of pants. If the number of T-shirts Karter has is double th
Svet_ta [14]

Answer:

4

Step-by-step explanation:

Let p represent the number of pants Karter has, s represent the number of pairs of shoes he has and t the number of T-shirts he has.

Karter has 24 T-shirts.

t=24

Karter has 8 fewer pairs of shoes than pairs of pants.

p=s+8

The number of T-shirts Karter has is double the number of pants he has.

2x p= t

then

p=t/2=24/2=12

s=p-8=12-8=4

3 0
3 years ago
Match the dimensions of each rectangle with its corresponding area.
Serga [27]

Answer:

3x8= 24sf

5x7= 35sf

9x10= 90sf

13x2= 26sf

8x8= 64sf

Step-by-step explanation:

6 0
2 years ago
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