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3 years ago

6

How is finding the factors of a number different from finding the prime factorization of a number.

1 answer:

mario62 [17]3 years ago

6 0

When finding factors of a number, you are just finding numbers that can factor into it. When finding the prime factorization, you are narrowing down the factors to the smallest factored numbers.

Ex:   40 •The bolded numbers are the most simplified factors.
/ \
   8 5
/ \
4 2 The prime factorization of 40 is 5 x 2^3.
  / \
2 2

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What is the approximate volume of a half sphere with a diameter of 8 cm?

Anestetic [448]

Answer:

134.04

Step-by-step explanation:

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3 years ago

Use Laplace transform methods to solve the differential equation: The initial conditions are f(0) = 0 and <img src="https://tex.

Llana [10]

Answer:

Step-by-step explanation:

$\frac{d^2 y}{dt^2} +12\frac{dy}{dt} +32y = 10e^{-2t}$ where f(x) is replaced by y

Take Laplace on both sides

$s^2 Y -s(0)-0 +12s Y-0+32Y = \frac{10}{s+2} \\Y(s^2+12s+32) = \frac{10}{s+2}\\Y = \frac{10}{(s+2)(s+4)(s+8)}$

We can resolve into partial fraction to get Y = L(y)

Let this equals

$\frac{A}{s+2} +\frac{B}{s+4} +\frac{C}{s+8} \\10 = A(s+4)(s+8) + B(s+2)(s+8) +Cs+4)(s+2) \\$

Solving we get

s=-9

24C = 10 or C =5/12

s=-2: A=10/12=5/6

s=-4: B = -5/4

Taking inverse Laplace

$y(t) = \frac{-5e^{-4t} }{4} + \frac{5e^{-8t} }{12} +\frac{-5e^{-2t} }{6}$

6 0

3 years ago

A baby weights 18 pounds at her four month appointment. Six months later she weights 24 pounds. By what percentage did the baby’

Anna11 [10]

Answer: 25%

Step-by-step explanation:

Given : Previous baby's weight = 18 pounds

New baby's weight = 24 pounds.

Increase in weight = New weight -Previews weight

=24 pounds - 18 pounds =6 pounds

Percentage increase in baby's weight = $=\dfrac{\text{Increase in baby's weight}}{\text{previous weight}}\times100$

$\\\\=\dfrac{6}{24}\times100=25\%$

Hence, the percentage increase in baby's weight = 25%

4 0

3 years ago

5) Which expression is equivalent to 4(3 + 2)?

kirill [66]

D, because if you distribute 4(3+2) it equals= 4x3
= 12
4x2
=8
and there’s an addition sign so you will add the remaining numbers 12+8

3 0

3 years ago

Find the area of each parallelogram<br><br> Please help with these thank you

hammer [34]

A=8
B=10

Hope this helps :D

4 0

3 years ago