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3 years ago

The prime factorization of a number is 23 times 32 times 5. Which is a new statement about the factors of the number?

Mathematics

1 answer:

Zanzabum3 years ago

5 0

32 is not a prime number.

32 = 2 · 2 · 2 · 2 · 2

Correct the prime factorization is:

23 · 5 · 2 · 2 · 2 · 2 · 2

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Juan wishes to build a garden at the bottom of his property. He wants to split it in two, like the diagram below, so he can plan

SCORPION-xisa [38]

Answer:

20 ft by 60 ft

Step-by-step explanation:

"What should the dimensions of the garden be to maximize this area?"

If y is the length of the garden, parallel to the stream, and x is the width of the garden, then the amount of fencing is:

120 = 3x + y

And the area is:

A = xy

Use substitution:

A = x (120 − 3x)

A = -3x² + 120x

This is a downward facing parabola. The maximum is at the vertex, which we can find using x = -b/(2a).

x = -120 / (2 · -3)

x = 20

When x = 20, y = 60. So the garden should be 20 ft by 60 ft.

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A pill has the shape of a cylinder with a hemisphere at each end. The height of the cylindrical portion is 12mm and the overall

Volgvan

Answer:

The volume of the pill is $V=452\ mm^{3}$

Step-by-step explanation:

Find the volume of the pill in cubic millimeters

we know that

The volume of the pill is equal to the volume of the cylinder plus the volume of a sphere (two hemisphere is equal to one sphere)

we have

$V=\frac{4}{3}\pi r^{3}+\pi r^{2}h$

$r= (18-12)/2=3\ mm\\ h=12\ mm$

assume

$\pi =3.14$

substitute

$V=\frac{4}{3}(3.14)(3)^{3}+(3.14)(3)^{2}(12)\\V=452\ mm^{3}$

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3 years ago

Can someone please solve FAST I have 5 minutes

Hunter-Best [27]

Answer:

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Step-by-step explanation:

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2 years ago

Please help solve with working much appreciated!

Lapatulllka [165]

The right answer is Option A.

Step-by-step explanation:

Given,

Heart rate goal = I

Heart rate reserve = H

70% of H = $\frac{70}{100}H = 0.7H$

Resting heart rate = R

According to given statement,

70% of heart rate reserved is added to resting heart rate to calculate heart rate goal, therefore,

I = R + 0.7H

I=R+0.7H represents the given situation.

The right answer is Option A.

Keywords: linear expression, addition

Learn more about addition at:

#LearnwithBrainly

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