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natima [27]
3 years ago
11

An American green tree frog tadpole is about 0.00001 kilometer in length when it hatches. Write this decimal as a power of 10

Mathematics
1 answer:
galben [10]3 years ago
8 0
1.e-50
you multiply .00001 by itself 10 times<span />
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Find the integral, using techniques from this or the previous chapter.<br> ∫x(8-x)3/2 dx
Soloha48 [4]

Answer:

\int x(8-x)^{3/2}dx= -\frac{16}{5} (8-x)^{\frac{5}{2}} +\frac{2}{7} (8-x)^{\frac{7}{2}} +C

Step-by-step explanation:

For this case we need to find the following integral:

\int x(8-x)^{3/2}dx

And for this case we can use the substitution u = 8-x from here we see that du = -dx, and if we solve for x we got x = 8-u, so then we can rewrite the integral like this:

\int x(8-x)^{3/2}dx= \int (8-u) u^{3/2} (-du)

And if we distribute the exponents we have this:

\int x(8-x)^{3/2}dx= - \int 8 u^{3/2} + \int u^{5/2} du

Now we can do the integrals one by one:

\int x(8-x)^{3/2}dx= -8 \frac{u^{5/2}}{\frac{5}{2}} + \frac{u^{7/2}}{\frac{7}{2}} +C

And reordering the terms we have"

\int x(8-x)^{3/2}dx= -\frac{16}{5} u^{\frac{5}{2}} +\frac{2}{7} u^{\frac{7}{2}} +C

And rewriting in terms of x we got:

\int x(8-x)^{3/2}dx= -\frac{16}{5} (8-x)^{\frac{5}{2}} +\frac{2}{7} (8-x)^{\frac{7}{2}} +C

And that would be our final answer.

8 0
3 years ago
Please help!! I will give brainilest. look at the picture!
xxMikexx [17]

Answer:

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Step-by-step explanation:

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3 years ago
Tom, Sam and Matt are counting drum beats.
umka2103 [35]

Answer: 40\ beats

Step-by-step explanation:

Knowing the information provided in the exercise, you need to find the Least Common Multiple (L.C.M) in order to solve it.

You can follow these steps:

1- You must descompose 2, 5 and 8 into their prime factors:

2=2\\5=5\\8=2*2*2=2^3

2- And finally, you must multiply the commons and non commons with the highest exponent:

L.C.M=2^3*5=40

Therefore, the answer is: 40\ beats

4 0
3 years ago
Can someone please help me with math. Pls don't take my points.
svlad2 [7]

Answer:

0.09

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Step-by-step explanation:

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1/3 with a line over the answer ( 0.66666666666...)

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