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trasher [3.6K]
1 year ago
7

How can the quotient of powers law be used to show that a negative exponent is equivalent to the reciprocal

Mathematics
1 answer:
Kay [80]1 year ago
8 0

Answer:Thus,  (-3)-4 = 1/(-3)4.

Step-by-step explanation:

Negative exponents have the following property:   n-m = 1/nm   OR   1/n-m = nm

So for  (-3)-4 ,  n= -3 and -m= -4 (or m= 4).

Thus,  (-3)-4 = 1/(-3)4.

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Mr.rodriguez invests half money in land a tenth in stocks and a twentieth in bonds he puts the remaining 35,000 in his savings a
Elena-2011 [213]

Answer:  $100,000

<u>Step-by-step explanation:</u>

   Land  +  Stocks  +  Bonds  +  Savings  =  100%

    \dfrac{1}{2}x    +    0.1x     +    \dfrac{1}{20}x       +  35,000   =  1.00x  

=  0.5x   +     0.1x   +     0.05x  +  35,000  =  1.00x

=                                    0.65x  +  35,000  =  1.00x

                                                     35,000  =  0.35x

                                                     \dfrac{35,000}{0.35}=\dfrac{0.35x}{0.35}

                                                    100,000  =  x  

3 0
3 years ago
Read 2 more answers
A store owner offered a 25% discount off the regular price of a pair of shoes. The amount of the discount is $4.
m_a_m_a [10]

Answer:

D

Step-by-step explanation:

25% of 16 is 1/4x16=4, which leaves D as as your answer

3 0
2 years ago
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What is 3 thousands / 10 in unit form
Marrrta [24]
I think that it is 300
3 0
3 years ago
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An automotive manufacturer wants to know the proportion of new car buyers who prefer foreign cars over domestic. Step 2 of 2 : S
ziro4ka [17]

Answer:

The 85% onfidence interval for the population proportion of new car buyers who prefer foreign cars over domestic cars is (0.151, 0.205).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

Sample of 421 new car buyers, 75 preferred foreign cars. So n = 421, \pi = \frac{75}{421} = 0.178

85% confidence level

So \alpha = 0.15, z is the value of Z that has a pvalue of 1 - \frac{0.15}{2} = 0.925, so Z = 1.44.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.178 - 1.44\sqrt{\frac{0.178*0.822}{421}} = 0.151

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.178 + 1.44\sqrt{\frac{0.178*0.822}{421}} = 0.205

The 85% onfidence interval for the population proportion of new car buyers who prefer foreign cars over domestic cars is (0.151, 0.205).

8 0
2 years ago
It took Mary 40 minutes to run 8 laps around the playground, if she spent the same time running each lap, how long would it take
Sergeeva-Olga [200]

Answer:

it should take her 45 minutes to run 9 laps

Step-by-step explanation:

40/8 = 5

9*5 = 45

8 0
3 years ago
Read 2 more answers
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