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3 years ago

A factory makes rods by cutting platic pipes that are 5 feet long into 8 rods. How long is each rod

Mathematics

1 answer:

CaHeK987 [17]3 years ago

8 0

If you divide 8 by 5 you should get 1.6

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8 wholes and 4/6 minus 2 wholes and 5/6 is what

podryga [215]

The answer to your problem should be 5 wholes and 5/6 since the denominators are the same just add 6 more pieces to 4/6 to get an improper fraction then subtract to get the answer. Hope this helps and have a fabulous day!

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2 years ago

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geniusboy [140]

Watch anime and screw work

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2 years ago

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Which expressions are equivalent to 9+h+ (j+k)? Check all that apply.

GaryK [48]

Answer:3

the 3rd one

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2 years ago

I need help really fast!!!

Helga [31]

Answer:

x=4

if that is what you need hope this helped

Step-by-step explanation:

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2 years ago

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EXPLAIN why we placed the value of x= 4/3( the minimum value) into the equ of gradient(dy/dx) [in the answer, marking scheme att

aliina [53]

$y=x(x-2)^2$
$\implies y'=(x-2)^2+2x(x-2)=3x^2-8x+4=(3x-2)(x-2)=0$
$\implies x=\dfrac23,x=2$

are the critical points, and judging by the picture alone, you must have $b=\dfrac23$ and $a=2$ . (You might want to verify with the derivative test in case that's expected.)

Then the shaded region has area

$\displaystyle\int_0^2x(x-2)^2\,\mathrm dx=\dfrac43$

I'll leave the details to you.

Now, for part (iv), you're asked to find the minimum of $\dfrac{\mathrm dy}{\mathrm dx}=y'$ , which entails first finding the second derivative:

$y'=3x^2-8x+4$
$\implies y''=6x-8$

setting equal to 0 and finding the critical point:

$6x-8=0\implies x=\dfrac86=\dfrac43$

This is to say the minimum value of $\dfrac{\mathrm dy}{\mathrm dx}$ *occurs when $x=\dfrac43$ *, but this is not necessarily the same as saying that $\dfrac43$ is the actual minimum value.

The minimum value of $\dfrac{\mathrm dy}{\mathrm dx}$ is obtained by evaluating the derivative at this critical point:

$m=\dfrac{\mathrm dy}{\mathrm dx}\bigg|_{x=4/3}=3\left(\dfrac43\right)^2-8\left(\dfrac43\right)+4=-\dfrac43$

4 0

3 years ago