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Juliette [100K]
3 years ago
5

Express 15x^1/3 y^1/5 using a radical

Mathematics
1 answer:
worty [1.4K]3 years ago
7 0
Okay. 
15 (3)radical x   times   (5)radical y

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Who can solve Multi-Step Literal Equations?: n/r=D/b
Nata [24]

Answer:

i/=-d:./k/-= sorry

Step-by-step explanation:

4 0
3 years ago
Two sizes of cans of beans are similar. The thickness of the walls and bases are the same in both cans. The ratio of their surfa
agasfer [191]

Answer:

It costs  $0.216  to make smaller can and $0.324 to make larger can

Step-by-step explanation:

Given:

The ratio of the surface areas = 4:9

Area of smaller cans =  36 sq in

Cost  = $0.006 per square inch  

To Find:

how much does it cost to make each can = ?

Solution:

Lets the area of the larger can be x

the ratio is  4 :  9

then 4x =  9.(36)

4x = 216

x = \frac{216}{4}

x =  54

The area of the larger can is 54 sq in

Now the cost of making the smaller can  =   36 \times  0.006 = $0.216

The cost of making the Larger can = 54 \times 0.006 =$0.324

4 0
3 years ago
What is 4log1/2^w(2log1/2^u-3log1/2^v written as a single logarithm?
IrinaK [193]
Given:

4log1/2^w (2log1/2^u-3log1/2^v)

Req'd:

Single logarithm = ?

Sol'n:

First remove the parenthesis,

4 log 1/2 (w) + 2 log 1/2 (u) - 3 log 1/2 (v)

Simplify each term,

Simplify the 4 log 1/2 (w) by moving the constant 4 inside the logarithm;
Simplify the 2 log 1/2 (u) by moving the constant 2 inside the logarithm;
Simplify the -3 log 1/2 (v) by moving the constant -3 inside the logarithm:

 log 1/2 (w^4)  + 2 log 1/2 (u) - 3 log 1/2 (v) 
log 1/2 (w^4) + log 1/2 (u^2) - log 1/2 (v^3)

We have to use the product property of logarithms which is log of b (x) + log of b (y) = log of b (xy):

Thus,

Log of 1/2 (w^4 u^2) - log of 1/2 (v^3) 

then use the quotient property of logarithms which is log of b (x)  - log of b (y) = log of b (x/y)

Therefore, 

log of 1/2 (w^4 u^2 / v^3)

and for the final step and answer, reorder or rearrange w^4 and u^2:

log of 1/2 (u^2 w^4 / v^3)  
8 0
3 years ago
Read 2 more answers
Find the value of x.
dimaraw [331]

Answer:

2\sqrt{77}

Step-by-step explanation:

Use the Pythagorean theorem. a^{2} +b^{2}=c^{2}

a and b are the two side lengths

c is the hypotenuse (value across from the right angle)

Plug in the values that you are given.

a^{2} +4^{2} =18^{2}

Solve for x

x^{2} =18^{2} -4^{2}

x^{2} =308

x=\sqrt{308}

x=2\sqrt{77}

5 0
2 years ago
<img src="https://tex.z-dn.net/?f=4%20%5Ctimes%208%20%5E%7B2x%20%2B%201%3F%7D%20%20%3D%2032%20%5E%7Bx%20%2B%202%7D%20" id="TexFo
svet-max [94.6K]

Answer:

x = 5

Step-by-step explanation:

<u>__________________________________________________________</u>

<u>FACTS TO KNOW BEFORE SOLVING</u> :-

  • a^x \times a^y = a^{x+y}
  • In an equation , if the bases are same in both L.H.S. & R.H.S. then , the power of the bases on both the sides of equation should be equal. For e.g. : a^x = a^y  ⇒  x = y  [∵ Bases are equal on both the sides]

<u>__________________________________________________________</u>

4 \times 8^{2x+1} = 32^{x+2}

Lets express it in terms of 2.

=> 2^2 \times 2^{3 (2x+1)} = 2^{5(x+2)}

=> 2^2 \times 2^{6x+3} = 2^{5x+10}

=> 2^{2 + 6x+3} = 2^{5x+10}

=> 2^{6x+5} = 2^{5x+10}

Here the bases on both the sides are equal. Hence ,

=> 6x + 5 = 5x + 10

=> 6x - 5x = 10 - 5

=> x = 5

6 0
2 years ago
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