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3 years ago

How do ypu write 373,698 in expanded from

Mathematics

1 answer:

Liula [17]3 years ago

6 0

300,000+70,000+3,000+600+90+8

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How do I solve this using the substitution method for finding anti derivatives?

rewona [7]

A bit blurry, but if I'm making it out correctly, that's

$\displaystyle\int t\sqrt{(t^2-9)^3}\,\mathrm dt=\int t(t^2-9)^{3/2}\,\mathrm dt$

Set $u=t^2-9$ . Then $\mathrm du=2t\,\mathrm dt$ , or $t\,\mathrm dt=\dfrac{\mathrm du}2$ . The integral is then equivalent to

$\displaystyle u^{3/2}\dfrac{\mathrm du}2=\frac12\int u^{3/2}\,\mathrm du$
$=\dfrac12\dfrac{u^{5/2}}{\frac52}+C$
$=\dfrac12\times\dfrac25u^{5/2}+C$
$=\dfrac15u^{5/2}+C$
$=\dfrac15(t^2-9)^{5/2}+C$

6 0

3 years ago

Solve for the equation, show all your work. This is an absolute value equation. You need to show both equations and the work for

VMariaS [17]

Answer:

$x=-1$ or $7$

Step-by-step explanation:

We use casework on when $3x-9=12$ and when $3x-9=-12$ .

For the first case, $3x-9=12$ , we add 9 to both sides to get

$3x=21$ .

Dividing both sides by 3 gives

$x=7.$

For the second case, $3x-9=-12$ , we add 9 to both sides to get

$3x=-3$ .

Dividing both sides by 3 gives

$x=-1$ .

Checking both cases, we plug in $x=7$ and $x=-1$ .

For the first case, we have $|3(7)-9|=|21-9|=|12|=12$ , which satisfies the equation.

For the second case, we have $|3(-1)-9|=|-3-9|=|-12|=12$ , which also satisfies the equation.

This gives us two solutions to the equation; $x=7$ and $x=-1$ .

4 0

2 years ago

Match each polynomial to the term that does not change the polynomial's classification when added to it.

zmey [24]

It all depends in what there exponents are

4 0

3 years ago

Find surface area please

Kaylis [27]

Answer:

The area is 54.6

Step-by-step explanation:

Hopefully this helps!

4 0

3 years ago

How many solutions does this equation have?

drek231 [11]

The answer is infinitely many solutions because 0 = 0.

If you don't seem to see where I got 0 = 0, look at the equation,

4b – 4b = 0

first lets do the math on the left side.

4b - 4b is equal to 0.

so lets put 0 on the left side, now lets look at the equation all together,

0 = 0,

and this means that it has infinitely many solutions.

The reason why it is not no solution because no solution means when there are no answers to the equation. For example, the solution is not true, such as the equation 24 ≠ 29. This is a no solution equation. One solution can be 4x = 20, as x = 5, concluding it being one solutions.

5 0

3 years ago