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3 years ago

Find all the perfect numbers between 20 and 30

Mathematics

1 answer:

dsp733 years ago

7 0

A perfect number is a natural number whose factors add to the original number.

6 is a good example of this, as 6 = 1 + 2 + 3.

The perfect number between 20 and 30 is 28: 28 = 1 + 2 + 4 + 7 + 14.

-Hope this helped! :D

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Find the inverse Laplace transform of F (s)=2/s^3

IceJOKER [234]

Recall that for integers <em>n</em> > -1,

$L_s\left\{t^n\right\} = \dfrac{n!}{s^{n+1}}$

Then

$\displaystyle L^{-1}_t\left\{\frac2{s^3}\right\} = L^{-1}_t\left\{\frac{2!}{s^{2+1}}\right\} = \boxed{t^2}$

4 0

3 years ago

Help please ;-; The values in the table represent a linear function.

Fittoniya [83]

Answer:

The function rule in slope-intercept form is:

$y = \frac{1}{2}x-\frac{7}{2}$

Step-by-step explanation:

The slope-intercept form of a function is given as:

$y = mx+b$

Here

m is the rate of change of function and b is the y-intercept

The rate of change is calculated as:

$m = \frac{difference\ in\ y}{difference\ in\ x}$

For this, any two pairs of input and output can be taken.

So using the pairs (1,-3) and (2,-1)

$m=\frac{2-1}{-1+3}\\=\frac{1}{2}$

Putting the value of slope in slope-intercept form

$y = \frac{1}{2}x+b$

Putting (1,-3) in the equation

$-3 = \frac{1}{2}(1)+b\\-3 = \frac{1}{2}+b\\b = -3-\frac{1}{2}\\b = \frac{-6-1}{2}\\b= \frac{-7}{2}$

Putting the value of b

$y = \frac{1}{2}x-\frac{7}{2}$

Hence,

The function rule in slope-intercept form is:

$y = \frac{1}{2}x-\frac{7}{2}$

4 0

3 years ago

What is the volume of a cube with a side length of 5 cm?

frutty [35]

Answer:

D. 125 cm³

Step-by-step explanation:

Volume is how much space an object takes up.

The volume of a cube is denoted by: V = s³, where s is the side length of the cube. Here, we see that s = 5, so plug this into the formula:

V = s³

V = 5³ = 5 * 5 * 5 = 125

The answer is thus D.

5 0

3 years ago

Read 2 more answers

How do I solve this? 25 points

Bad White [126]

Answer:

Step-by-step explanation:

Both bottom angles are equal

So x+x+48=180

Subtract 48 from both sides

So 2x=132

Divide both sides by 2

x=66

6 0

3 years ago

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Eorge sells baseball cards online. He estimates he can make $4.75 per card. If George has 83 cards, using front-end estimation,

qwelly [4]

Answer:

Step-by-step explanation:

4.75 rounds to 5 because the 7, 83 rounds to 80 because of the 3. 80*5=400

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3 years ago