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Katena32 [7]
3 years ago
14

Express 10500 in term if it's prime factor

Mathematics
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.
4 0
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:

4 0
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}

3 0
2 years ago
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