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natka813 [3]
3 years ago
8

Simplify cube root of 7 / Fifth root of 7

Mathematics
2 answers:
emmainna [20.7K]3 years ago
7 0
7^(1/3) : 7^( 1/5)= 7^(1/3 -1/5)=7^[(5-3)/15]= 7^[2/15]

the answer is D
OverLord2011 [107]3 years ago
7 0

Answer:

Option D. is the answer.

Step-by-step explanation:

we have to simplify the cube root of \frac{\sqrt[3]{7}}{\sqrt[5]{7} }

= \frac{7^{\frac{1}{3}}}{7^{\frac{1}{5} } }

= 7^{\frac{1}{3}-\frac{1}{5}}

= 7^{(\frac{5-3}{15})}

= 7^{\frac{2}{15}}

Therefore, Option D. 7 to the power of 2 over 15 is the answer.

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Given the following points on the graph determine the midpoint of the following segments
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6 0
3 years ago
Suppose you have purchased a filling machine for candy bags that is supposed to fill each bag with 16 oz of candy. Assume that t
nexus9112 [7]

Answer:

H0: μ ≥ 16

H1: < 16

−2.748749;

0.011275;

Reject the Null

Step-by-step explanation:

Given the data:

15.87, 16.02, 15.78, 15.83, 15.69, 15.81, 16.04, 15.81, 15.92, 16.10

Null hypothesis ; H0: μ ≥ 16

Alternative hypothesis ; H1: < 16

Sample size, n = 10

From the data:

Using calculator,

Sample mean, m = 15.887

Standard deviation, s = 0.13

The test statistic, T

(m - μ) / s/sqrt(n)

(15.887 - 16) / (0.13/sqrt(10))

= −2.748749

Using the p value from test statistic calculator :

Degree of freedom (df) = 10 - 1 = 9 at 0.05 significance level is 0.011275

Since the p value is < 0.05

0.011 < 0.05

We reject the Null and conclude that the mean fill weight is less than 16 oz

7 0
3 years ago
On Friday,
dimaraw [331]
I would make both denominators the same, and the lowest one that works is 18. So I'd make 1/9 into 2/18, and 1/6 into 3/18. They already used these times so combine them to make 5/18 then subtract that from the total time they had (18/18) and you would get 13/18 they spent playing music.
5 0
3 years ago
Kyle cut a 4-foot piece of rope into pieces that are each 0.25 feet long. How many pieces of rope did he cut?
choli [55]

Answer:

16

Step-by-step explanation:

Just divide 4 by .25, and you get 16

Hopefully this helps, let me know if you have any other questions!

7 0
3 years ago
Read 2 more answers
A cylinder with a radius of 1 cm and a height of 21 cm has the same volume as a cone with a height of 7 cm. What is the radius o
Natasha_Volkova [10]

Answer:

<h2>A) 3 cm</h2>

Step-by-step explanation:

The formula of a volume of a cylinder:

V=\pi r^2H

r - radius

H - height

We have r = 1cm and H = 21cm. Substitute:

V=\pi(1^2)(21)=21\pi\ cm^3

The formula of a cone:

V=\dfrac{1}{3}\pi r^2H

r - radius

H - height

We have V = 21π cm³ and H = 7cm. Substitute:

\dfrac{1}{3}\pi(r^2)(7)=21\pi        <em>divide both sides by π</em>

\dfrac{1}{3}(7)(r^2)=21         <em>divide both sides by 7</em>

\dfrac{1}{3}r^2=3         <em>multiply both sides by 3</em>

r^2=9\to r=\sqrt9\\\\r=3\ cm

5 0
3 years ago
Read 2 more answers
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