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Delicious77 [7]
3 years ago
9

An open box is to be made from a flat piece of material 19 inches long and 3 inches wide by cutting equal squares of length xxfr

om the corners and folding up the sides. Write the volume VVof the box as a function of xx. Leave it as a product of factors, do not multiply out the factors.
Mathematics
1 answer:
Whitepunk [10]3 years ago
6 0

Answer:

V=x(19-2x)(3-2x)

Step-by-step explanation:

The flat piece of material is 19Inches Long and 3 Inches Wide.

If we cut a square if length x from each corner:

Length if the Box=19-x-x=19-2x

Width if the Box=3-x-x=3-2x

The flap that will be folded up will be the height.

Therefore, Height of the Box= x inches.

Volume of a cuboid=lwh

Therefore the volume of the box will be:

V=x(19-2x)(3-2x)

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A monomial of the 2nd degree with a leading coefficient of 3
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Given:

Polynomials

To find:

Monomial of 2nd degree with leading coefficient 3

Solution:

Monomial is an algebraic expression with only one term.

Option A: 3 n^{2}-1

It is not a monomial because it have 2 terms.

It is not true.

Option B: 3 n-n^{2}

It is not a monomial because it have 2 terms.

It is not true.

Option C: 3 n^{2}

It have one term only. So, it is a monomial.

Degree means highest power. So degree = 2

Leading coefficient means the value before variable.

Leading coefficient = 3

It is true.

Option D: 2n^3

It have one term only. So, it is a monomial.

Degree means highest power. So degree = 3

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Therefore 3 n^{2} is a monomial of 2nd degree with a leading coefficient of 3.

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3 years ago
What is the result of adding these two equations?
kicyunya [14]
Well the total would be -5
6 0
2 years ago
What law can be used to determine that the conclusion is valid based on the given statements
ryzh [129]

Answer:

A. Law of detachment

Step-by-step explanation:

The Law of detachment implies that when one condition is fulfilled the other cannot be and vice versa, then it is made the conclusion.

This condition is made the conclusion.

The Acute and Obtuse are detached of each other.

The acute angle is one in which the value of the angle is less than 90 degrees and obtuse angle is one in which the angle is greater than 90 degrees but less than 180 degrees.

Thus angles less than 90 degrees are acute and greater than 90 degrees are obtuse.

The conclusion of the given statement  is valid based on the law of detachment as the condition has been made a conclusion.

8 0
2 years ago
Courtney got 64 out of a 75 correct on the test what is the best estimate of the percent Courtney got correct
Firdavs [7]

Answer:

85.33%

Step-by-step explanation:

64/75=0.8533333...

x100 = 85.33%

3 0
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Answer:

-4

Step-by-step explanation:

plug in -2

-(-2)^2 = -4

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