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jarptica [38.1K]
3 years ago
10

Sam sent an email ro 3 friends on Monday. Each of the friends then sent an email to 3 friends on Tuesday. On Wednesday, each of

those friends then sent an email to 3 friends. Write the prime factorization of the number of emails that were sent on Wednesday.
Mathematics
2 answers:
ivann1987 [24]3 years ago
7 0
3*3*3 here you go!! Hope this helps
ozzi3 years ago
6 0

Answer:

The answer is 3x3x3.

Step-by-step explanation:

A prime factorization consists in write down a multiplication in prime numbers. In this case we have that Sam sent an email to 3 friends on Monday, then all his friends an email to 3 friends more on Tuesday and the same happen on Wednesday. So this could be write as:

Monday: 3 emails

Tuesday: 9 emails

Wednesday: 27 emails

The question is to write the number of emails sent on Wednesday, so:

27 emails=3emails*9emails

Is not enough because it has to be write in prime numbers:

27emails=3emails*3emails*3emails

Now the factorization is write in prime numbers. The answer is 3x3x3.

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Find all roots: x^3-7x^2-12x = 0
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Answer:

The roots are  0, 3 and 4.

Step-by-step explanation:

x^3-7x^2-12x = 0   Take out x:

x(x^2 - 7x - 12) = 0  Factor the expression in the brackets:

x(x - 3)(x - 4) = 0

x = 0 or x - 3 = 0 or x - 4 = 0, so

The roots are  0, 3 and 4.

5 0
3 years ago
F(x)=2x+3, and g(x)=4x-2. what is f(x)+g(x)
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f

(

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5

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f

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−

14

x

+

10

+

3

=

80

x

4

+

280

x

3

+

45

x

2

−

8

x

2

−

350

x

−

14

x

+

125

+

10

+

3

f

(

g

(

x

)

)

=

80

x

4

+

280

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The answer is  

f

(

g

(

x

)

)

=

80

x

4

+

280

x

3

+

37

x

2

−

364

x

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.

Step-by-step explanation:

8 0
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Karo-lina-s [1.5K]
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A sphere has radius of 3 cm. What is the volume of the sphere?
Alex17521 [72]

Answer: 113.04 cm³

Step-by-step explanation: To find the volume of a sphere, start with the formula for the volume of a sphere which is shown below.

V = \frac{4}{3} \pi r^{3}

Here, we are given that our sphere has a radius of 3 centimeters.

So plugging into the formula, we have (\frac{4}{3})(\pi)(3 cm)^{3}.

Start by simplifying the exponent.

(3 cm)³ is equal to 3 centimeters · 3 centimeters ·

3 centimeters or 27 cm³.

So we have (\frac{4}{3})(27 cm^{3})(\pi).

Notice that we can cross-cancel 3 and 27 to 1 and 9.

So we have (4)(9 cm³) which is equal to 36 cm³.

So we have 36π cm³.

So the volume of the sphere is 36π cm³.

Remember that π is approximately equal to 22/7 or 3.14 so we can estimate the value of the volume by plugging in 3.14 for π.

So we have (36)(3.14) which is equal to 113.04 which means

that the volume of approximately equal to 113.04 cm³.

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