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4 years ago

1. 0.29__ 0.3

Mathematics

2 answers:

sineoko [7]4 years ago

8 0

1. is b
2. is b
3. is c

lorasvet [3.4K]4 years ago

5 0

1. a
2. b
3. c

hope that helped

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What is 25 hours past 9:00 A.M.?

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There are 24 hours in 1 day, so 25 hours = 24 hours + 1 hours = 1 day + 1 hour

Thus 25 hours after 09:00 am is 10:00 am on the following day.

Step-by-step explanation:

hope this will help you

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3 years ago

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A grocery store sells a bag of 7 oranges for $2.10. If Evan spent $2.40 on oranges, how many did he buy?

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4 years ago

A lake contain 900 gallons of water. The city is pumping water into the lake at a rate of 30 gallons per minute. Which expressio

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3 years ago

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.

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3 years ago

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It is a parallelogram

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