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3 years ago

Decimal 0.003 is 1/10 of

1 answer:

6 0

Just multiply the 0.003 by 10 and you'll get the result. The easiest way to multiply such numbers is to move the dot one position to the right (it would be 2 positions if multiplied by 100, 3 by 1000 etc.). You can do the same with dividing, just remember to move to the left then.

So 0.03 is your answer

Hope I Helped!!!

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Maurinko [17]

Answer:

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3 0

3 years ago

Read 2 more answers

Find the volume of the solid formed by revolving the region bounded by LaTeX: y = \sqrt{x} y = x and the lines LaTeX: y = 1 y =

Strike441 [17]

Answer:

The volume is:

$\displaystyle\frac{37\pi}{10}$

Step-by-step explanation:

See the sketch of the region in the attached graph.

We set the integral using washer method:

$\displaystyle\int_a^b\pi r^2dx$

Notice here the radius of the washer is the difference of the given curves:

$x-\sqrt{x}$

So the integral becomes:

$\displaystyle\int_1^4\pi(x-\sqrt{x})^2dx$

We solve it:

Factor $\pi$ out and distribute the exponent (you can use FOIL):

$\displaystyle\pi\int_1^4x^2-2x\sqrt{x}+x\,dx$

Notice: $x\sqrt{x}=x\cdot x^{1/2}=x^{3/2}$

So the integral becomes:

$\displaystyle\pi\int_1^4x^2-2x^{3/2}+x\,dx$

Then using the basic rule to evaluate the integral:

$\displaystyle\pi\left[\frac{x^3}{3}-\frac{2x^{5/2}}{5/2}+\frac{x^2}{2}\right|_1^4$

Simplifying a bit:

$\displaystyle\pi\left[\frac{x^3}{3}-\frac{4x^{5/2}}{5}+\frac{x^2}{2}\right|_1^4$

Then plugging the limits of the integral:

$\displaystyle\pi\left[\frac{4^3}{3}-\frac{4(4)^{5/2}}{5}+\frac{4^2}{2}-\left(\frac{1}{3}-\frac{4}{5}+\frac{1}{2}\right)\right]$

Taking the root (rational exponents):

$\displaystyle\pi\left[\frac{4^3}{3}-\frac{4(2)^{5}}{5}+\frac{4^2}{2}-\left(\frac{1}{3}-\frac{4}{5}+\frac{1}{2}\right)\right]$

Then doing those arithmetic computations we get:

$\displaystyle\frac{37\pi}{10}$

6 0

3 years ago

3. A train set costs $120.00. Find the discount if it is on sale for 30% off.

Leno4ka [110]

Answer:

Step-by-step explanation:

To find the discount, you will need to find 30% of $120, so you will need to do:

120*0.3=36

Also, if you were asking for the COST if it was 30% off, it would be 84 as 120-36=84.

(I hope this helps!)

4 0

3 years ago

Read 2 more answers

. Simplify (4x + 2)3.

BabaBlast [244]

Answer:

Step-by-step explanation:

Multiply 3 times 4x which gives you 12. Multiply 3 times 2 which gives you 6. Your final answer is 12x+6

6 0

4 years ago

Read 2 more answers

What is the relationship between 0.04 and 0.004?

Nimfa-mama [501]

We have to determine the relationship between 0.04 and 0.004. The first number, 0.04 is 4 hundredths and the secind number ( 0.004 ) is 4 thousanths. Therefore 0.04 is larger than 0.004. if we divide 0.04 : 0.004 = 40 : 4 = 10. Answer : 0.04 is 10 times greater than 0.004.

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3 years ago