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4 years ago

What would be the answer??? please help!

Mathematics

2 answers:

katen-ka-za [31]4 years ago

5 0

(60 times 4 ) plus (25 times 2)
60•4=240 in^
25•2=50in^
Surface of it all is
240 in^ + 50 in^ = 290 in ^

svetlana [45]4 years ago

5 0

290 inches^2 is your'e answer

2×(5×5 + 5×12 + 5×12)= 290 inches2

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Use trigonometric substitution to evaluate the integral 13 + 12x − x2 dx . First, write the expression under the radical in an a

SCORPION-xisa [38]

I don't see a square root sign anywhere, so I'll assume the integral is

$\displaystyle\int\sqrt{13+12x-x^2}\,\mathrm dx$

First complete the square:

$13+12x-x^2=49-(6-x)^2=7^2-(6-x)^2$

Now in the integral, substitute

$6-x=7\sin t\implies\mathrm dx=-7\cos t\,\mathrm dt$

so that

$t=\sin^{-1}\left(\dfrac{6-x}7\right)$

Under this change of variables, we have

$7^2-(6-x)^2=7^2-7^2\sin^2t=7^2(1-\sin^2t)=7^2\cos^2t$

so that

$\displaystyle\int\sqrt{13+12x-x^2}\,\mathrm dx=-7\int\sqrt{7^2\cos^2t}\,\cos t\,\mathrm dt=-49\int|\cos t|\cos t\,\mathrm dt$

Under the right conditions, namely that cos(<em>t</em>) > 0, we can further reduce the integrand to

$|\cos t|\cos t=\cos^2t=\dfrac{1+\cos(2t)}2$

$\displaystyle-49\int|\cos t|\cos t\,\mathrm dt=-\frac{49}2\int(1+\cos(2t))\,\mathrm dt=-\frac{49}2\left(t+\frac12\sin(2t)\right)+C$

Expand the sine term as

$\dfrac12\sin(2t)}=\sin t\cos t$

Then

$t=\sin^{-1}\left(\dfrac{6-x}7\right)\implies \sin t=\dfrac{6-x}7$

$t=\sin^{-1}\left(\dfrac{6-x}7\right)\implies \cos t=\sqrt{7^2-(6-x)^2}=\sqrt{13+12x-x^2}$

So the integral is

$\displaystyle-\frac{49}2\left(\sin^{-1}\left(\dfrac{6-x}7\right)+\dfrac{6-x}7\sqrt{13+12x-x^2}\right)+C$

3 0

3 years ago

Nine times ten to the negative eleventh power over two point four times ten to the eighth power

Greeley [361]

Answer:

9(10^-11)10^8

2.4

Step-by-step explanation:

That is the correct answer

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3 years ago

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ch4aika [34]

Remember PEMDAS.
Parentheses first, which is 3. So then that is 5 times 3 times 2 divided by 3 +11
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3 years ago

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bezimeni [28]

Answer:

Step-by-step explanation:

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3 years ago

Help me please!!!!!!

olya-2409 [2.1K]

3276800/8 = 409600 (how many bacteria in an hour)

Then just multiply that number by the amount of hours you want to solve for

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3 years ago