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sineoko [7]
3 years ago
11

How many times greater is the value of the 4 in 4,735 than the value of the 4 in 6,412? How many times greater is the value of t

he 4 in 4,735 than the value of the 4 in 6,412? How many times greater is the value of the 4 in 4,735 than the value of the 4 in 6,412?

Mathematics
1 answer:
nalin [4]3 years ago
7 0

Answer:

10 times

Step-by-step explanation:

Since the leftmost value is called ones place.

the second leftmost value is called tens place.

the third leftmost value is called a hundred place.

the fourth leftmost value is called a thousand place and so on.

So, The value of 4 in 4,735 is 4 thousand = 4,000

and the value of 4 in 6,412 is 4 hundred = 400.

Hence, the value of the 4 in 4,735 is 10 times the value of the 4 in 6,412.

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tdy

Step-by-step explanation:

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7 0
3 years ago
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
2 years ago
You have 65% of your homework left to complete. What decimal and fraction represent the amount of homework you have finished?
Maurinko [17]
Percentage of homework that is left to be completed = 65%
Then
The percentage of homework that is already done = (100 - 65) percent
                                                                           = 35 percent
                                                                           = (35/100)
                                                                           = 7/20
                                                                           = 0.35
So the amount of homework that has already been completed can be represented as 7/20 or o.35. Hope this is the answer you were looking for and i have helped you in this matter. Also i hope the procedure is easy enough for you to understand.
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I think it is 21 and 50. The only common factor they have is 1.


All the others are divisible by 1 & 3.
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3 years ago
Read 2 more answers
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Nitella [24]
The answer is D. 5.4
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