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Alika [10]
3 years ago
14

If the radius is 1/2 what is the volume

Mathematics
1 answer:
fomenos3 years ago
4 0

Answer:

that is the answer to the question

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Which expression is equivalent to? Assume x > 0 and y > 0.
shtirl [24]

Answer:

The correct answer is third option

√5/(x²y)

Step-by-step explanation:

It is given an expression,√(55x⁷y⁶/11x¹¹y⁸)

Points to remember

Identities

xᵃ/xᵇ = x⁽ᵃ ⁻ ᵇ)

x⁻ⁿ = x¹/ⁿ

<u>To find the equivalent expression</u>

We have, √(55x⁷y⁶/11x¹¹y⁸)

By using above identity we can write,

√(55x⁷y⁶/11x¹¹y⁸) = √[(55/11) (x⁷/x¹¹) (y⁶/y⁸)]

 = √[5x⁷⁻¹¹ y⁶⁻⁸]

 = √[5x⁻⁴ y⁻²]

 = √[5/x⁴y²]

 = √5/(x²y)

Therefore the correct answer is third option

√5/(x²y)

8 0
4 years ago
Read 2 more answers
An investment of ​$29,000 was made by a business club. The investment was split into three parts and lasted for one year. The fi
lina2011 [118]

Answer:

The amounts of three parts of the investment are 18000, 6000, 5000 respectively.

Step-by-step explanation:

An investment of ​$29,000 was made by a business club.

Let the amount of first and second investment be x and y respectively. So, the amount of third investment is (29000-x-y).

The first part of the investment earned​ 8% interest, the second​ 6%, and the third​ 9%. Total interest from the investments was $ 2250.

0.08x+0.06y+0.09(29000-x-y)=2250

On simplification we get

-0.01x-0.03y+2610=2250

-0.01x-0.03y=2250-2610

-0.01x-0.03y=-360

0.01x+0.03y=360                  ..... (1)

The interest from the first investment was 4 times the interest from the second.

0.08x=4(0.06y)

0.08x=0.24y

x=3y                               .... (2)

From (1) and (2) we get

0.01(3y)+0.03y=360

0.03y+0.03y=360

0.06y=360

Divide both sides by 0.06.

y=6000

Put this value in equation (2).

x=3(6000)=18000

The amount of third investment is

29000-x-y=29000-18000-6000=5000

Therefore the amounts of three parts of the investment are 18000, 6000, 5000 respectively.

7 0
3 years ago
Please help...........
ANTONII [103]
Y<x+5  because the line intersects at positive 5 
 
6 0
3 years ago
Carlos budget $2000 to spend on a vacation.Of he spend $150 each day which expression represents how much money Carlos had left
lakkis [162]
I'm not sure but it seems like to me it may be B.
8 0
3 years ago
Read 2 more answers
Algebra 1 help please!
Vsevolod [243]

Answer:

x=46 and y=45

Step-by-step explanation:

To solve this, you must set up a system of equations. The first sentence says that there are two numbers and that their sum is 91, so your first equation is x+y=91. For the next equation, it says that the difference of those same numbers is 1, which means that the equation is x-y=1. Now, putting those two together for the system of equations, it's easiest to add them. The result will be 2x=92 which when simplified gives you the value of x. Taking the value of x, you can substitute in the second equation to find the value of y.

Hope this helped!

7 0
3 years ago
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