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3 years ago

14

Express 10500 in term if it's prime factor

1 answer:

Shkiper50 [21]3 years ago

3 0

2 | 10500
2 ! 5250
3 | 2625
5 | 875
5 | 175
5 | 35
7
The prime factors are 2*2*3*5*5*5*7 or 2^2*3*5^3*7

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Jeffrey purchase and download 12 songs on Monday he purchase an additional 3 songs on Tuesday the cost to download each song is

bonufazy [111]

(12x3)+(3x2) Because on Monday he bought 12 songs for $3 each and on Tuesday he bought 2 songs for $3 each.

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3 years ago

Which set of ordered pairs satisfies the equation <br> f(x)=7x+20

mamaluj [8]

Answer:

The 2nd one

Step-by-step explanation:

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2 years ago

Read 2 more answers

Use series to verify that<br><br> <img src="https://tex.z-dn.net/?f=y%3De%5E%7Bx%7D" id="TexFormula1" title="y=e^{x}" alt="y=e^{

SVETLANKA909090 [29]

$y = e^x\\\\\displaystyle y = \sum_{k=1}^{\infty}\frac{x^k}{k!}\\\\\displaystyle y= 1+x+\frac{x^2}{2!} + \frac{x^3}{3!}+\ldots\\\\\displaystyle y' = \frac{d}{dx}\left( 1+x+\frac{x^2}{2!} + \frac{x^3}{3!}+\frac{x^4}{4!}+\ldots\right)\\\\$

$\displaystyle y' = \frac{d}{dx}\left(1\right)+\frac{d}{dx}\left(x\right)+\frac{d}{dx}\left(\frac{x^2}{2!}\right) + \frac{d}{dx}\left(\frac{x^3}{3!}\right) + \frac{d}{dx}\left(\frac{x^4}{4!}\right)+\ldots\\\\\displaystyle y' = 0+1+\frac{2x^1}{2*1} + \frac{3x^2}{3*2!} + \frac{4x^3}{4*3!}+\ldots\\\\\displaystyle y' = 1 + x + \frac{x^2}{2!}+ \frac{x^3}{3!}+\ldots\\\\\displaystyle y' = \sum_{k=1}^{\infty}\frac{x^k}{k!}\\\\\displaystyle y' = e^{x}\\\\$

This shows that $y' = y$ is true when $y = e^x$

-----------------------

Note 1: A more general solution is $y = Ce^x$ for some constant C.
Note 2: It might be tempting to say the general solution is $y = e^x+C$ , but that is not the case because $y = e^x+C \to y' = e^x+0 = e^x$ and we can see that $y' = y$ would only be true for C = 0, so that is why $y = e^x+C$ does not work.

6 0

3 years ago

a cd usally sells for 17.00 if the CD is 30% off and the sales tax is 8% what is the total price of the CD including tax

Ksenya-84 [330]

Answer:

$12.85

Step-by-step explanation:

First we need to find the sale price of the CD

Sale price = old price - old price * discount rate

= 17 - 17* .3

= 17 - 5.1

= 11.9

The sale price of the CD is 11.90

Now we need to find the tax

tax = sale price of cd * tax rate

= 11.9 * .08

= .95

The final cost of the CD is sale price of CD plus the tax

Total cost = sale price of CD + tax

= 11.90 + .95

=12.85

3 0

2 years ago

For each right triangle below, find the missing side (Pythagorean’s Theorem) and the missing angle (Angle Sum theorem.)

valkas [14]

Answer:

a=21.2

n=√29

Step-by-step explanation:

$90+68.2+a=180$

$a+158.2=180$

$a=21.2$

$2^2+5^2=n^2$

$4+25=n^2$

$n^2=29$

$n=\sqrt{29}$

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2 years ago