HELP.......................

Mathematics

1 answer:

ira [324]3 years ago

7 0

1. 1 2. 1 1/43.1 1/4

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Solve for u in the proportion.<br> 40/15 = u/6<br> URGENT

sammy [17]

Answer:

Step-by-step explanation:

40x 6 =u x 15

240=u x 15

U = 240÷15

U = 16

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4 years ago

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I really want to finish this homework and I want to say what’s 9+9

larisa86 [58]

Answer:

Step-by-step explanation:

9+9=18

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4 years ago

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Ava bought 25 kg of fish-flavored cat food and 35 kg of chicken-flavored cat food for the cat rescue center. He is going to divi

Ivan

Because the type of cat food is irrelevant we can add them together:
25 + 35 = 60 kg of cat food

1 kg = 1,000 grams
60 kg = 60,000 grams

60,000 / 300 gram pockets = 200 pockets
He will make 200 pockets (with 60kg of food)

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3 years ago

Integrate dx/3sinx+4cosx

german

$\displaystyle\int\frac{\mathrm dx}{3\sin x+4\cos x}$

A standard approach would be the tangent half-angle substitution:

$t=\tan\dfrac x2\implies\mathrm dt=\dfrac12\sec^2\dfrac x2\,\mathrm dx$

Then

$\sin x=2\sin\dfrac x2\cos\dfrac x2\implies\sin x=\dfrac{2t}{1+t^2}$

$\cos x=\cos^2\dfrac x2-\sin^2\dfrac x2\implies\cos x=\dfrac{1-t^2}{1+t^2}$

from which we get

$\mathrm dx=\dfrac2{1+t^2}\,\mathrm dt$

So the integral becomes

$\displaystyle\int\frac{\frac2{1+t^2}}{\frac{6t}{1+t^2}+\frac{4(1-t^2)}{1+t^2}}\,\mathrm dt=\int\frac{\mathrm dt}{3t+2(1-t^2)}=-\int\frac{\mathrm dt}{2t^2-3t-2}$