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3 years ago

Will someone please help me solve this !!

Mathematics

1 answer:

Setler79 [48]3 years ago

7 0

Answer:

130

Step-by-step explanati

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3. What value of makes a true equivalent fraction statement.<br> 5 30<br> 54<br> C

VashaNatasha [74]

Answer:

$x$ = 9

Step-by-step explanation:

We need to find $x$ which will make an equivalent fraction statement.

$\frac{5}{x} = \frac{30}{54}$

5 x 6 = 30

$x$ x 6 = 54 (to find $x$ we should do 54 ÷ 6 which = 9)

So:

$\frac{5}{6} = \frac{30}{54}$

$x$ = 9

hope this helps :)

5 0

3 years ago

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A rectangle has a length of 12 and a width of 9. What is the

choli [55]

Answer:

Step-by-step explanation:

9 squared + 12 squared

3 0

2 years ago

What is the antiderivative of 3x/((x-1)^2)

Maslowich

Answer:

$\int \:3\cdot \frac{x}{\left(x-1\right)^2}dx=3\left(\ln \left|x-1\right|-\frac{1}{x-1}\right)+C$

Step-by-step explanation:

Given

$\int \:\:3\cdot \frac{x}{\left(x-1\right)^2}dx$

$\mathrm{Take\:the\:constant\:out}:\quad \int a\cdot f\left(x\right)dx=a\cdot \int f\left(x\right)dx$

$=3\cdot \int \frac{x}{\left(x-1\right)^2}dx$

$\mathrm{Apply\:u-substitution:}\:u=x-1$

$=3\cdot \int \frac{u+1}{u^2}du$

$\mathrm{Expand}\:\frac{u+1}{u^2}:\quad \frac{1}{u}+\frac{1}{u^2}$

$=3\cdot \int \frac{1}{u}+\frac{1}{u^2}du$

$\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx$

$=3\left(\int \frac{1}{u}du+\int \frac{1}{u^2}du\right)$

$\int \frac{1}{u}du=\ln \left|u\right|$ ∵ $\mathrm{Use\:the\:common\:integral}:\quad \int \frac{1}{u}du=\ln \left(\left|u\right|\right)$

$\int \frac{1}{u^2}du=-\frac{1}{u}$ ∵ $\mathrm{Apply\:the\:Power\:Rule}:\quad \int x^adx=\frac{x^{a+1}}{a+1},\:\quad \:a\ne -1$

$=3\left(\ln \left|u\right|-\frac{1}{u}\right)$

$\mathrm{Substitute\:back}\:u=x-1$

$=3\left(\ln \left|x-1\right|-\frac{1}{x-1}\right)$

$\mathrm{Add\:a\:constant\:to\:the\:solution}$

$=3\left(\ln \left|x-1\right|-\frac{1}{x-1}\right)+C$

Therefore,

$\int \:3\cdot \frac{x}{\left(x-1\right)^2}dx=3\left(\ln \left|x-1\right|-\frac{1}{x-1}\right)+C$

4 0

3 years ago

The cost of grapes was $0.88 a pound. Change bought 4.5 pounds. Find the amount he paid.

Schach [20]

Answer:

$3.96

Step-by-step explanation:

If he gave $.88 per each pound he bought all you have to do is multiply $.88 by how many pounds he bought 4.5. $.88x4.5 equals $3.96

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3 years ago

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When the center line is one solid yellow line and one broken yellow line, who may cross the line to pass?

Serjik [45]

Answer:

the side with the yellow broken line

Step-by-step explanation:

Solid yellow line: No passing when solid yellow line is on your side. Double solid lines: No vehicle may pass. Broken yellow line: May pass if movement can be made in safely. Many roads have two or more lanes going in your direction.

3 0

3 years ago