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Andrei [34K]
3 years ago
12

Solve for x b=1/6π n ^2 x

Mathematics
1 answer:
Setler [38]3 years ago
5 0

Answer:

\large\boxed{x=\dfrac{6b}{\pi n^2}}

Step-by-step explanation:

b=\dfrac{1}{6}\pi n^2x\qquad\text{multiply both sides by 6}\\\\6b=\pi n^2x\qquad\text{divide both sides by}\ \pi n^2\neq0\\\\\dfrac{6b}{\pi n^2}=b

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Allen runs 8 miles in three hours at a steady pace how long does it take him to run 3 miles
mamaluj [8]
First find the speed...
8 miles per 3 hrs

8/3 = 2 2/3 m/hr

2 2/3 m/hr × x/3 m =
2 2/3 ÷ 3 = x
8/3 ÷ 3 = x
8/3 × 1/3 = x
8/9 = x

It takes 8/9 of an hour to run 3 miles. Multiply 8/9 × 60 to find out how many minutes.

8/9 × 60 = 53.33 minutes
4 0
3 years ago
What is the sum of the first five terms of a geometric series with a1=6 and r=1/3?
Anuta_ua [19.1K]
The sum of a geometric sequence is:

s(n)=a(1-r^n)/(1-r), s(n)=nth sum, a=initial value, r=common ratio, n=term #

In this case we are told that a=6 and r=1/3 so:

s(n)=6(1-(1/3)^n)/(1-1/3)

s(n)=6(1-(1/3)^n)/(2/3)

s(n)=9(1-(1/3)^n), so the sum of the first 5 term is:

s(5)=9(1-(1/3)^5))

s(5)=9(1-(1/243))

s(5)=9(242/243)

s(5)=2178/243

s(5)=242/27

s(5)=8 26/27  ...if you wanted an approximation s(5)≈8.96 to the nearest hundredth...
3 0
3 years ago
In a science class each student must choose a lab project from a list of 15, wrote a paper on one of 6 topics, and give a presen
Allushta [10]

Answer:

720

Step-by-step explanation:

15×6×8=720

if you multiply them all together it gives you the amount of possible options.

7 0
3 years ago
A fitness center has a membership fee of $125. Members only pay $5 per day to work out at the center. A nonmember pays $10 per d
Andrej [43]
125+5(25) =10(25) --> 250=250, so the answer is 25 workout days
4 0
3 years ago
Distributive Property to find (z-5)(z+3)
valentina_108 [34]

Answer:

z×(-5+3)then you complete the sum and that is your answer

Step-by-step explanation:

hope it helps you

7 0
2 years ago
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