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Arturiano [62]
3 years ago
5

NEED HELP WITH THIS PROBLEM!!!!!!

Mathematics
1 answer:
zzz [600]3 years ago
3 0

Answer:

  \displaystyle\frac{\sqrt[4]{3x^2}}{2y}

Step-by-step explanation:

It can work well to identify 4th powers under the radical, then remove them.

  \displaystyle\sqrt[4]{\frac{24x^6y}{128x^4y^5}}=\sqrt[4]{\frac{3x^2}{16y^4}}=\sqrt[4]{\frac{3x^2}{(2y)^4}}\\\\=\frac{\sqrt[4]{3x^2}}{2y}

_____

The applicable rules of exponents are ...

  1/a^b = a^-b

  (a^b)(a^c) = a^(b+c)

The x-factors simplify as ...

  x^6/x^4 = x^(6-4) = x^2

The y-factors simplify as ...

  y/y^5 = 1/y^(5-1) = 1/y^4

The constant factors simplify in the usual way:

  24/128 = (8·3)/(8·16) = 3/16

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Owen's birthday cake is a rectangle 12 inches long and 9 inches wide.
marin [14]

Answer:

4 pieces with 3 sides

2 pieces with only the top

Step-by-step explanation:

First we need to determine how many squares

9/3 = 3

12 /3 = 4

3*4 = 12

There will be 12 pieces of cake

There are 4 corners

They will have frosting on the top and two sides for 3 total sides

There will be 2 pieces will be in the middle with only the top frosted

7 0
3 years ago
Read 2 more answers
U(8, 9) and V(2, 5) are the endpoints of a line segment. What is the midpoint M of that line segment?
Crazy boy [7]

Answer:

(5, 7 )

Step-by-step explanation:

Given 2 points (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ 0.5(x₁ + x₂ ), 0.5(y₁ + y₂ ) ]

here (x₁, y₁ ) = U(8, 9) and (x₂, y₂ ) = V(2, 5), thus

midpoint = [0.5(8 + 2), 0.5(9 + 5) ] = [0.5(10), 0.5(14) ] = (5, 7 )

6 0
4 years ago
Clue is a board game in which you must deduce three details surrounding a murder. In the original game of Clue, the guilty perso
Amanda [17]

Answer:

The probability of making a correct random guess is 0.00053%.

Step-by-step explanation:

Since Clue is a board game in which you must deduce three details surrounding a murder, and in the original game of Clue, the guilty person can be chosen from 66 people, and there are 66 different possible weapons and 99 possible rooms, and at one point in the game, you have narrowed the possibilities down to 44 people, 55 weapons, and 77 rooms, to determine what is the probability of making a random guess of the guilty person, murder weapon, and location from your narrowed-down choices , and the guess being correct, the following calculation must be performed:

(1 / (44x55x77)) x 100 = X

(1 / 186,340) x 100 = X

0.0005366 = X

Therefore, the probability of making a correct random guess is 0.00053%.

6 0
3 years ago
David has $65 dollars to spend on a ticket to a concert and a shirt. He already spent $32.25 on his ticket and fee. Find an equa
emmainna [20.7K]
You Only Can Buy Two Shirts To Have Left $3.75
7 0
3 years ago
Simplify 5sqrt 12xm^3 <br> Assume x and m are nonnegative
fredd [130]

Answer:

The right answer to your question is the third option

Step-by-step explanation:

            5 √12xm³

             First find the prime factors of 12

   12   2

     6   2

    3    3

     1             Then 12 = 2² 3

   and m³ = m m²

So    5 √ 2² 3 x m m²

and   5 (2)(m) √ 3xm

         10 m √ 3xm

5 0
3 years ago
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