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3 years ago

What is the quotient?

Mathematics

1 answer:

Sergio039 [100]3 years ago

6 0

Answer: FIRST OPTION

Step-by-step explanation:

According the quotient of powers property, when you have the division of two powers with the same base, then you must subtract the exponents.

Therefore, keeping the property above on mind, you have that the quotient is the shown below:

$\frac{(-7)^2}{(-7)^{-1}}=(-7)^{(2-(-1))}=(-7)^{(2+1)}=(-7)^3=-343$

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Oliga [24]

V= (pi)r^29(h)
V= (pi) 25(16)

V= 400(pi) in^3

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3 years ago

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Priya drew a circle whose area is 25 cm. Dan drew a circle whose diameter is 4 times the radius of Priya's circle. How many time

Vitek1552 [10]

Answer:

400

Step-by-step explanation:

first work out the radius of priya's circle with the equation a = $\pi r^{2}$

$25 = \pi r^{2}$

$\frac{25}{\pi } = r^{2}$

$r = \sqrt{\frac{25}{\pi } }$

we know the diameter of a circle is 2 times the radius so the diameter of priya's circle is 2x $\sqrt{\frac{25}{\pi } }$

this means that if the diameter of dan's circle is 4 times bigger it must be

8x $\sqrt{\frac{25}{\pi } }$

to find the radius of dan's circle we divide the diameter by to 2 to give

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3 years ago

a bicycle has a listed price of $821.95 before tax. if the sales tax rate is 6.5%, find the total cost of the bicycle with sales

BlackZzzverrR [31]

Answer:

$875.39

Step-by-step explanation:

1) Divide the tax rate (6.500%) by 100 to get a decimal rate of 0.06500.

2) Multiply the purchase price ($821.95) by the 0.06500 to get a sales tax amount of $53.43.

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Answer: (15.47, 24.53)

Step-by-step explanation:

We know that the confidence interval for population mean is given by :_

$\overline{x}\pm z^*\dfrac{\sigma}{\sqrt{n}}$

, where n= sample size.

$\sigma$ = standard deviation.

$\overline{x}$ = sample mean.

z*= Critical value.

Given : n= 450

$\overline{x}=20$

$\sigma=49$

Critical value for 95% confidence = z*=1.96 [From z-value table]

Then, the 95% confidence interval will be :-

$20\pm (1.96)\dfrac{49}{\sqrt{450}}$

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Hence, the 95% confidence interval for the mean change in score μ μ in the population of all high school seniors. : (15.47, 24.53)

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2 years ago

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bearhunter [10]

Answer:

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