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Vinil7 [7]
3 years ago
12

I would appreciate assistance with this problem

Mathematics
2 answers:
kobusy [5.1K]3 years ago
7 0

Answer:

(x+30)(x+1)

Step-by-step explanation:

klasskru [66]3 years ago
6 0

Answer:

(x+1)(x+30)

Step-by-step explanation:

Area is equal to length * Width so you have to find what two expressions multiplied together equal the quadratics equation.

There are several ways to do this, but i would recommend factoring the expression. To do so, find factors of the third term that when added, equal the second term.

In this scenario

X^2 + 31x + 30

find factors of 30:

1,30

2,15

3,10

5,6

In this scenario it is clear that 1 and 30 are the two factors that equal 31

the final answer would be written as

(x+1)(x+30)

and when these two terms are multiplied out together you get your initial area

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The base of a rectangular prism has an area of 12 square centimeters. The height of the rectangular prism is 3 centimeters. What
UkoKoshka [18]

Answer:

36 cubic centimeters

Step-by-step explanation:

In this question, we are tasked with calculating the volume of the rectangular prism.

mathematically, that can be obtained by using the formula for the volume of the rectangular prism.

V = Base area * height

from the question, we have the base area as 12 square centimeters and the height as 3 centimeters.

Plugging these values into the equation, the value of the volume is thus 12 * 3 = 36 cubic centimeters

3 0
3 years ago
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Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in t
Tresset [83]

Answer: The volume of largest rectangular box is 4.5 units.

Step-by-step explanation:

Since we have given that

Volume = xyz

with subject to x+2y+3z=9

So, let z=\dfrac{9-x-2y}{3}

So, Volume becomes,

V=xyz\\\\V=xy(\dfrac{9-x-2y}{3})\\\\V=\dfrac{9xy-x^2y-2xy^2}{3}

Partially derivative wrt x and y we get that

9-2x-2y=0\implies 2x+2y=9\\\\and\\\\9-x-4y=0\implies x+4y=9

By solving these two equations, we get that

x=3,y=\dfrac{3}{2}

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xyz=3\times \dfrac{3}{2}\times 1=\dfrac{9}{2}=4.5

Hence, the volume of largest rectangular box is 4.5 units.

4 0
3 years ago
Bella works at the grocery store and has 453 oranges to fit into 17 boxes. She fills all of the boxes with exactly the same numb
LUCKY_DIMON [66]

Answer:

It would be 7701

Step-by-step explanation: hope this helps!

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I think the answer is 5 because 25 divided by 5=5

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Order these units from smallest to largest:
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The units are ordered smallest to largest from top to bottom:
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Nanometer (nm) = 1 x 10⁻⁹ meters
Micrometer (um) = 1 x 10⁻⁶ meters
Millimeter (mm) = 1 x 10⁻³ meters
Centimeter (cm) = 1 x 10⁻² meters
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Kilometers (Km) = 1 x 10³ meters
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