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2 years ago

find the smallest number by which 29160 should be divided so that the quotient becomes a perfect cube

Mathematics

1 answer:

IgorLugansk [536]2 years ago

7 0

The smallest number by which 29160 should be divided so that the quotient becomes a perfect cube is 5

<h3>Perfect cube quotient of a division</h3>

The given number is 29160

Note that:

29160 can be factored into 5832

That is, 29160 = 5832 x 5

Take the cube of 5832:

$\sqrt[3]{5832}=18$

Since it has been confirmed that 5832 is a perfect cube, the smallest number by which 29160 should be divided so that the quotient becomes a perfect cube is 5

Learn more on perfect cube quotient here: brainly.com/question/17448146

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Rzqust [24]

1.) 12x^2-7x-10
2.) 10x^2+31x-14

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2 years ago

What is the following product?<br> 30. 10<br> 2.110<br> 3.10<br> 4./10<br> 10/5

OLga [1]

Step-by-step explanation:

300
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30
2/5=0.4
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Hope it helps you

4 0

2 years ago

Evaluate the line integral, where c is the given curve. (x + 9y) dx + x2 dy, c c consists of line segments from (0, 0) to (9, 1)

viktelen [127]

$\displaystyle\int_C(x+9y)\,\mathrm dx+x^2\,\mathrm dy=\int_C\langle x+9y,x^2\rangle\cdot\underbrace{\langle\mathrm dx,\mathrm dy\rangle}_{\mathrm d\mathbf r}$

The first line segment can be parameterized by $\mathbf r_1(t)=\langle0,0\rangle(1-t)+\langle9,1\rangle t=\langle9t,t\rangle$ with $0\le t\le1$ . Denote this first segment by $C_1$ . Then

$\displaystyle\int_{C_1}\langle x+9y,x^2\rangle\cdot\mathbf dr_1=\int_{t=0}^{t=1}\langle9t+9t,81t^2\rangle\cdot\langle9,1\rangle\,\mathrm dt$
$=\displaystyle\int_0^1(162t+81t^2)\,\mathrm dt$
$=108$

The second line segment ( $C_2$ ) can be described by $\mathbf r_2(t)=\langle9,1\rangle(1-t)+\langle10,0\rangle t=\langle9+t,1-t\rangle$ , again with $0\le t\le1$ . Then

$\displaystyle\int_{C_2}\langle x+9y,x^2\rangle\cdot\mathrm d\mathbf r_2=\int_{t=0}^{t=1}\langle9+t+9-9t,(9+t)^2\rangle\cdot\langle1,-1\rangle\,\mathrm dt$
$=\displaystyle\int_0^1(18-8t-(9+t)^2)\,\mathrm dt$
$=-\dfrac{229}3$

Finally,

$\displaystyle\int_C(x+9y)\,\mathrm dx+x^2\,\mathrm dy=108-\dfrac{229}3=\dfrac{95}3$

5 0

3 years ago

5 men take 45hours to build a wall.how long will it take 9men working at the same wall?

Karolina [17]

Answer:

<u>25 hours</u>

Step-by-step explanation:

It takes 5 men 45 hours to build a wall.

So, if no. of men increases by 1.8 [∴ 5 x 1.8 = 9],

then time taken reduces by that same amount.

=> 45 hours / 1.8

=> 45 / (9/5)

=> 45 x 5 / 9

=> 5 x 5

=> <u>25 hours</u>

7 0

2 years ago

(brainliest)Armando found the volume of the figure below by using the steps shown. A rectangular prism with a length of 18 inche

Shkiper50 [21]

Answer: Armando used the wrong dimensions for the triangular prism.

Step-by-step explanation:

Hi, to answer this question we have to analyze Armando’s work.

Total Volume = Volume of rectangular prism + volume of triangular prism

Total Volume = 5 (8) (18) + one-half (6) (18) (8)

Total Volume= 720 + 432

Total volume = 1,152 cubic inches.

He made a mistake in the second step, where used h=8 for the triangular prism instead of h= 5 . (h=height)

The correct way to solve this is.

Total Volume = 5 (8) (18) + one-half (6) (18) (5)

Total Volume= 720 + 270

Total volume = 990 cubic inches.

7 0

3 years ago

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