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3 years ago

Terrance has 24 eggs to divide into equal groups. what are all possible numbers of eggs that Terrance could put in each group?

2 answers:

7 0

It depends on how many groups one thing that helps is if you draw circle as the group and add one tally to each of them till you hit 24 then you habe your answer

weeeeeb [17]3 years ago

3 0

3 groups of 8. 8 groups of 3. 4 groups of 6. 6 groups of 4.

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How do you integrate arctan(x dx? i think that if you simplify the integral you get:?

Temka [501]

Integration by parts will help here. Letting $u=\arctan x$ and $\mathrm dv=\mathrm dx$ , you end up with $\mathrm du=\dfrac{\mathrm dx}{1+x^2}$ and $v=x$ . Now

$\displaystyle\int\arctan x\,\mathrm dx=uv-\int v\,\mathrm du$
$\displaystyle\int\arctan x\,\mathrm dx=x\arctan x-\int\frac x{1+x^2}\,\mathrm dx$

For the remaining integral, setting $y=1+x^2$ gives $\dfrac{\mathrm dy}2=x\,\mathrm dx$ , so

$\displaystyle\int\frac x{1+x^2}\,\mathrm dx=\frac12\int\frac{\mathrm dy}y=\frac12\ln|y|+C=\frac12\ln(1+x^2)+C$

Putting everything together, you end up with

$\displaystyle\int\arctan x\,\mathrm dx=x\arctan x-\frac12\ln(1+x^2)+C$

6 0

3 years ago

Use the transitive property of equality to finish the equations

mrs_skeptik [129]

Answer:

since 4y=12 and 4y=2x then 4y=12=2x or 12=2x

8 0

2 years ago

The solution set for -2x^2+12x=0

natita [175]

Answer:

{0,6}

Step-by-step explanation:

-2x^2+12x = 0

Factor out a -2x

-2x(x-6) =0

Using the zero product property

-2x = 0 and x-6=0

-2x = 0

Divide by -2

-2x/-2 = 0/-2

x=0

x-6=0

Add 6 to each side

x-6+6 =0+6

x=6

The solutions are 0 and 6

7 0

3 years ago

A map has a scale of 1 cm to 20km. Rewrite the scale as a ration in its simplest form.

Lesechka [4]

Answer:

1 : 2000000

Step-by-step explanation:

we have to convert 20km into cm so

20km×100000

=2000000

So ratio is 1:2000000

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6 0

2 years ago

Read 2 more answers

It takes 2 1/2 posterboard to display half of your project how many poster boards will you need for your entire project

murzikaleks [220]

If 2 1/2 posterboard is enough for 1/2 of the project, it will take another 2 1/2 posterboard to display the other half of the project.

2 1/2 + 2 1/2 = 4 + 1/2 + 1/2 = 4 + 1 = 5

Answer: 5 posterboard.

5 0

3 years ago