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3 years ago

Explain how the Quotient of Powers Property was used to simplify this expression. 5 to the fourth power, over 25 = 52

Mathematics

2 answers:

natali 33 [55]3 years ago

6 0

Answer:

the last one would be the answer :)

by finding the quotient of the bases to be one fifth and simplifying the expression

Lisa [10]3 years ago

5 0

Answer:

By simplifying 25 to 52 to make both powers base five, and subtracting the exponents

Step-by-step explanation:

the answer above is wrong i know because i took the lesson the one i put is right

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It is reported in USA Today that the average flight cost nationwide is $445.99. You have never paid close to that amount and you

nlexa [21]

Answer:

$H_0$ : $\mu \leq 445.99$

$H_a$ : $\mu > 445.99$

Step-by-step explanation:

It is given the average cost of the flight nationwide is $ 445.99

I wanted to $\text{perform the hypothesis test}$ to determine that the true average is greater than $ 445.99

Let the hypothesis that the true average is actually greater than $445.99

Therefore,

the $\text{null hypothesis}$ for the test is :

$H_0$ : $\mu \leq 445.99$

And the alternate hypothesis is :

$H_a$ : $\mu > 445.99$

5 0

3 years ago

A 6 oz paper cup is shaped like a cone with a diameter of 4 inches. How many ounces of water will a plastic cylindrical cup with

OleMash [197]

Answer:

The plastic cylindrical cup will hold 17.96 ounces of water.

Step-by-step explanation:

Given:

A 6 oz paper cup is shaped like a cone with a diameter of 4 inches.

Now, to find ounces of water will a plastic cylindrical cup with a diameter of 4 inches hold if it is the same height as the paper cup.

Volume of cone = 6 oz.

Diameter = 4 inches.

So, radius (r) = $\frac{Diameter}{2} =\frac{4}{2} =2\ inches.$

Taking the value $\pi$ = 3.14.

Now, to get the height (h) we put formula:

$Volume=\pi r^2\frac{h}{3}$

$Volume=3.14\times 2^2\times \frac{h}{3}$

$6=3.14\times 4\times \frac{h}{3}$

Multiplying both sides by 3 we get:

$18=12.56h$

Dividing both sides by 12.56 we get:

$1.43=h$

$h=1.43\ inches.$

Now, to get the volume of cylindrical cup.

As, given it is the same height as the paper cup.

Height (h) = 1.43 inches.

Diameter = 4 inches.

Radius (r) = $\frac{Diameter}{2} =\frac{4}{2} =2\ inches.$

So, we put formula to get the ounces of water a plastic cylindrical cup will hold:

$Volume =\pi r^2h$

$Volume=3.14\times 2^2\times 1.43$

$Volume=3.14\times 4\times 1.43$

$Volume=17.96\ oz.$

Therefore, the plastic cylindrical cup will hold 17.96 ounces of water.

5 0

3 years ago

(please help!!!) David hikes 2.25 miles in 0.5 hr. What is his rate in miles per hour? At this rate, how long will it take him t

ki77a [65]

His rate is 4.5 miles per hour. It would take him 4 hours to hike 18 miles. He would have traveled 31.5 miles in 7 hours.

8 0

3 years ago

What is the quadratic equation of x2 - 7x + 6 = 0

s2008m [1.1K]

Answer:

x = 6 , 1

Step-by-step explanation:

7 0

2 years ago

A trap to catch fruit flies uses a cone in a jar. The cone is shown with a height of 10 centimeters (cm) and a radius of 6 centi

Tresset [83]

Answer:

120 pi

Step-by-step explanation:

a. 1/3pi(6)^2(10)

just plug them into the calculator using pi.

b. pi is more accurate because you aren't round to 3.14. If you use 3.14 your answer will be rounded and not an exact number.

5 0

3 years ago