MATHEMATICS HIGH SCHOOL

Which expression is equivalent to 4 sqrt 24x^6y/128x^4y^5

Answers

Answer 1

Answer:

The equivalent expression is: $\frac{\sqrt[4]{3x^2}}{2y}$

The expression is given as:

$\sqrt[4]{(24x^6y)/(128x^4y^5)}$

Simplify

$\sqrt[4]{(3x^6y)/(16x^4y^5)}$

Apply the law of indices

$\sqrt[4]{(3x^(6- 4))/(16y^(5 -1))}$

Simplify

$\sqrt[4]{(3x^2)/(16y^4)}}}$

Take the 4th root of 16y^4

$(1)/(2y) *\sqrt[4]{3x^2}$

Rewrite as:

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

Hence, the equivalent expression is: $\frac{\sqrt[4]{3x^2}}{2y}$

Read more about equivalent expressions at:

brainly.com/question/2972832

Answer 2

Answer:

Given expression: $\sqrt[4]{(24x^6y)/(128x^4y^5) }$ .

$\mathrm{Cancel\:the\:common\:factor:}\:8$

$=(3x^6y)/(16x^4y^5)$

$\mathrm{Apply\:exponent\:rule}:\quad (x^a)/(x^b)\:=\:x^(a-b)$

$(x^6)/(x^4)=x^(6-4)=x^2$

$=(3x^2y)/(16y^5)$

$\mathrm{Cancel\:the\:common\:factor:}\:y$

$=(3x^2)/(16y^4)$

$=\sqrt[4]{(3x^2)/(16y^4)}$

$\mathrm{Apply\:radical\:rule\:}\sqrt[n]{(a)/(b)}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}$

$=\frac{\sqrt[4]{3x^2}}{\sqrt[4]{16y^4}}$

$=\frac{\sqrt[4]{3x^2}}{\sqrt[4]{16}\sqrt[4]{y^4}}$

$=\frac{\sqrt[4]{3}\sqrt[4]{x^2}}{\sqrt[4]{16}\sqrt[4]{y^4}}$

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

$=\frac{\sqrt[4]{3x^2}}{2y}$ .

Therefore, correct option is 4th option $\frac{\sqrt[4]{3x^2}}{2y}$ .

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Which story problem could be solved using the given equation?1/4 × 3/5 = m Responses A There is 35 of a box of dog treats in the cupboard. Jill’s dog eats 14 of a box of treats in a week. How many weeks of treats are left in the box for Jill’s dog? B There is , fraction 3 over 5 end fraction, , of a box of dog treats in the cupboard. Jill’s dog eats , fraction 1 over 4 end fraction, of a box of treats in a week. How many weeks of treats are left in the box for Jill’s dog? C Christie hiked 14 mile on the trail. Jackie hiked 35 mile farther than Christie. How far, in miles, did Jackie hike on the trail? Christie hiked , fraction 1 over 4 end fraction, , mile on the trail. Jackie hiked , fraction 3 over 5 end fraction, , mile farther than Christie. How far, in miles, did Jackie hike on the trail? D Shawn made a poster that has a width of 14 meter and a length of 35 meter. What is the perimeter, of Shawn’s poster? Shawn made a poster that has a width of , fraction 1 over 4 end fraction, , meter and a length of , fraction 3 over 5 end fraction, , meter. What is the perimeter, of Shawn’s poster? E In Sophie’s doll collection, 35 of the dolls are in their original boxes. Sophie plans to donate 14 of the dolls in these boxes to charity. How much of her doll collection will Sophie donate to charity?
Which ratio is equivalent to 4 to 5?

Five more than seven times a number is ninety-six. What is the number?Type an equation and solve

Answers

Answer: the answer to this problem is 13!

Step-by-step explanation: To solve this problem, we must work backward. So the last step we did in this problem was adding five to the number, so to work backward we must subtract 5 from 96 to get 91. Now then the last step was to multiply by seven and since we are working backward, we must divide by seven to get our original number 13.

This is the equation: (13*7)+5

Hope this helped :)

Can you help me with this please?6^3 simplified

6^2 simplified

6^1 simplified

6^0 simplified
Type each answer to each problem

Answers

Answer:

6^3 is 216

6^2 is 36

6^1 is 6

6^0 is 1

Step-by-step explanation:

What is £300 divided into a ratio of 3:7

Answers

a) sum 3 + 7 =10
b) divide  £300 ÷ 10 =  £30
c) multiply:
3 x 30 =  £90
7 x 30 =  £210

Values are:  £90 and  £210

First you add the ratio together 3+7=10 Then you do £300 divided by 10 = £30
Then you do £30 X 3 (from the ratio in the beginning) which equals £90
Then you do £30 X 7 (also from the ratio in the beginning) which equals £210
The ratio is £90:£210
Also you can add the ratios up so that it equals £300 the number you started with
£90+£210=£300
Hope I helped :)

A.
Tell if the sequence is arithmetic, geometric or
neither: 5, 30, 180, 1080

Answers

Answer:

It is geometric

Step-by-step explanation:

Because it is increasing as 6 is being multiplied.

Solve the equation: Show work step by step

-14=-5+3c

Answers

-14 = -5 + 3c

First, regroup your terms. / Your problem should look like: $-14 = 3c - 5$
Second, add 5 to both sides. / Your problem should look like: $-14 + 5 = 3c$
Third, simplify -14 + 5 to -9. / Your problem should look like: $-9 = 3c$
Fourth, divide both sides by 3. / Your problem should look like: $-(9)/(3) = c$
Fifth, simplify the fraction to 3. / Your problem should look like: $-3 = c$
Sixth, switch your sides. / Your problem should look like: $c = -3$

Answer: c = -3

−14=−5+3c

−14=3c−5

Flip the equation.

3c−5=−14

Add 5 to both sides.

3c−5+5=−14+5

3c=−9

Divide both sides by 3.

3c/3=−9/3

c=−3

(461065) João Augusto lança uma bola para cima e ela descreve uma trajetória vertical. Os instantes de tempo em que a bola sai e retorna à mão de João Augusto são representados pelas raízes da equação – 5t² + 40t = 0. Durante quantos segundos a bola permaneceu no ar?

Answers

https://brainly.com.br/

Esse e o site em Ingles, pergunta no em portugues, eles vao responder em portugues, boa sorte

Final answer:

João Augusto's ball remained in the air for 8 seconds. This was determined by the roots of the equation -5t² + 40t = 0, which represents the ball's vertical trajectory.

Explanation:

The equation given in the question represents the motion of the ball thrown into the air. Specifically, it is a parabolic equation which describes the motion of an object under the influence of gravity. We can determine the duration of the ball's flight by finding the roots of this equation.

The equation -5t² + 40t = 0 can be factored into -5t(t - 8) = 0. Therefore, the roots of this equation are 0 and 8, which represent the instants of time. In this case, t = 0 is the time when João Augusto launched the ball, and t = 8 is the time when he caught it again.

So, the ball remained in the air for 8 seconds.