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3 years ago

Please help if you can :)

Mathematics

1 answer:

galben [10]3 years ago

7 0

Answer:

In the pictures linked.

Step-by-step explanation:

The pictures I linked have the answers. Brainly wouldn't let me submit it because I apparently used bad words.

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A manufacturer cuts squares from the corners of a rectangular plece of sheet metal that measures 2 inches by 7 inches (see Figur

Vladimir79 [104]

Answer:

The value of x that maximizes the volume enclosed by this box is 0.46 inches

The maximum volume is 3.02 cubic inches

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The volume of the open-topped box is equal to

$V=LWH$

where

$L=(7-2x)\ in\\W=(2-2x)\ in\\H=x\ in$

substitute

$V=(7-2x)(2-2x)x$

Convert to expanded form

$V=(7-2x)(2-2x)x\\V=(14-14x-4x+4x^{2})x\\V=14x-14x^2-4x^2+4x^{3}\\V=4x^{3}-18x^{2} +14x$

using a graphing tool

Graph the cubic equation

Remember that

The domain for x is the interval -----> (0,1)

Because

If x>1

then

the width is negative (W=2-2x)

The maximum is the point (0.46,3.02)

see the attached figure

therefore

The value of x that maximizes the volume enclosed by this box is 0.46 inches

The maximum volume is 3.02 cubic inches

8 0

3 years ago

Given that triangle ABC is a right triangle, select a set of possible side length measures.

ad-work [718]

You didn't supply any rules or constraints so.... 1 in., 1 in., and 1 in.

You can use the Pythagorean Theorem to check if the side lengths are appropriate.

$a^2 + b^2 = c^2$

$1^2 + 1^2 = 1^2$ –this is true.

5 0

3 years ago

Read 2 more answers

What is the domain of the relation?

Tresset [83]

Answer:

Domain: 3, 6, 8, 9, 7

Step-by-step explanation:

Domain: 3, 6, 8, 9, 7

(Domain, Range)

The domain of a function or relation is the set of all possible independent values the relation can take.

Hope this helps :)

6 0

3 years ago

Read 2 more answers

Use the graph below to answer the question Y=-4(1/2)^x+2

EleoNora [17]

Aahwheheehheheheheheheheheheuww

3 0

3 years ago

Write the name of the period that has the digits 751

Cloud [144]

I dont know if its right. it is seven hundred fifty one

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3 years ago