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Tpy6a [65]
3 years ago
13

Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
2 answers:
Mkey [24]3 years ago
8 0

For this case we have that, by definition of power properties, the division of powers of the same base is given by:

\frac {a ^ m} {a ^ n} = a ^ {m-n}

So, if we have:

\frac {2 ^ {14}} {2 ^ 7}, the quotient is given by:

2 ^{14-7} = 2 ^ 7

Answer:

\frac {2 ^ {14}} {2 ^ 7} = 2 ^ 7

Option B


Drupady [299]3 years ago
7 0
The answer is b 2^7 bcuz when you divide fractions with the same number you subtract the exponents
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A theater group made appearances in two cities. The hotel charges before tax in the second city were $1500 lower than in the fir
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Answer:

The hotel bill in the first city before tax would be $ 650

Step-by-step explanation:

Let x be the hotel charges ( in dollars ) before tax in the first city,

∵  Hotel charges before tax in the second city were $1500 lower than in the first.

So, the hotel charges in second city = ( x - 1500 ) dollars,

Now, percentage of tax in,

First city = 8%

Second city = 10%,

So, the total tax in both city = 8% of x + 10% of (x-1500)

=\frac{8x}{100}+\frac{10(x-1500)}{100}

=0.8x + 0.10(x-1500)

According to the question,

0.8x + 0.10(x-1500)=435

0.8x + 0.10x - 150 = 435

0.9x = 435 + 150

0.9x = 585

\implies x = \frac{585}{0.9}=650

Hence, the hotel bill in the first city before tax would be $ 650.

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98% Confidence interval:  (4.144 ,4.498)  

Step-by-step explanation:

We are given the following in the question:

4.751, 4.373, 4.177, 4.676, 4.425, 4.228, 4.125, 4.251, 3.951, 4.192, 4.291, 4.414

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Mean =\displaystyle\frac{51.854}{12} = 4.321

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\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}  

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