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3 years ago

5

What is the unit price of a can of cat food if 3 cans cost $2.41? How much does one can cost? round to the nearest cent, only to

the nearest hundredths place
SHOW WORKS PLEASE, OKKKKK you can't I've me the answer like that:D

1 answer:

Harrizon [31]3 years ago

8 0

$2.41/3=.80 The original answer was .803 repeating 3. But you round

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Integral of x"2+4/x"2+4x+3

dolphi86 [110]

I'm guessing you mean

$\displaystyle \int\frac{x^2+4}{x^2+4x+3}\,\mathrm dx$

First, compute the quotient:

$\displaystyle \frac{x^2+4}{x^2+4x+3} = 1 + \frac{4x-1}{x^2+4x+3}$

Split up the remainder term into partial fractions. Notice that

<em>x</em> ² + 4<em>x</em> + 3 = (<em>x</em> + 3) (<em>x</em> + 1)

Then

$\displaystyle \frac{4x-1}{x^2+4x+3} = \frac a{x+3} + \frac b{x+1} \\\\ \implies 4x - 1 = a(x+1) + b(x+3) = (a+b)x + a+3b \\\\ \implies a+b=4 \text{ and }a+3b = -1 \\\\ \implies a=\frac{13}2\text{ and }b=-\frac52$

So the integral becomes

$\displaystyle \int \left(1 + \frac{13}{2(x+3)} - \frac{5}{2(x+1)}\right) \,\mathrm dx = \boxed{x + \frac{13}2\ln|x+3| - \frac52 \ln|x+1| + C}$

We can simplify the result somewhat:

$\displaystyle x + \frac{13}2\ln|x+3| - \frac52 \ln|x+1| + C \\\\ = x + \frac12 \left(13\ln|x+3| - 5\ln|x+1|\right) + C \\\\ = x + \frac12 \left(\ln\left|(x+3)^{13}\right| - \ln\left|(x+1)^5\right|\right) + C \\\\ = x + \frac12 \ln\left|\frac{(x+3)^{13}}{(x+1)^5}\right| + C \\\\ = \boxed{x + \ln\sqrt{\left|\frac{(x+3)^{13}}{(x+1)^5}\right|} + C}$

3 0

3 years ago

Write 0.39 as a fraction in simplest form

nika2105 [10]

Here's how to convert 0.39 to a fraction...

There is not much that can be done to figure out how to write 0.39 as a fraction, except to literally use what the decimal portion of your number, the .39, means.

Since there are 2 digits in 39, the very last digit is the "100th" decimal place.

So we can just say that .39 is the same as 39/100.

So your final answer is: 0.39 can be written as the fraction 39/100 (ALREADY SIMPLIFIED)

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Read 2 more answers

15% of 9 dollars is how many dollars

Ket [755]

9 .............. 100%
x................ 15%

100x = 15 . 9
100x = 135
x = <u>135</u>
100
x = 1,35

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I hope this helps you

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