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3 years ago

Solve for a in terms of b and c:3a+4b=c

1 answer:

8 0

We want a in terms of b and c: <span>3a+4b=c

Isolate 3a on the left side: 3a = c - 4b
Divide all terms by 3:

a = c/3 - 4b/3 (answer)</span>

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A coin is tossed and a number cube labelled 1 to 6 is rolled. How many equally likely outcomes are there? PLZZZZ HELP MEEE!!!!!

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Twelve outcomes, six for each coin side.

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3 years ago

Write the expression as the sine or cosine of an angle sin(pi/7) cos(x) + cos(pi/7) sin(x)

Natasha_Volkova [10]

Answer:

$\sin(\frac{\pi}{7}+x)$

Step-by-step explanation:

We are going to use the identity

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because this identities right hand side matches your expression where

$a=\frac{\pi}{7}$ and $b=x$ .

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Step-by-step explanation:

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3 years ago

The power P of a jet of water is jointly proportional to the cross sectional area A and to the cube ofthe velocity V. (a) Write

anastassius [24]

Answer:

a) $P=kAV^3$

b) 54

Step-by-step explanation:

If one quantity, A, is jointly proportional to other 2 quantities (B & C), we can write proportionality equation as:

$A=k*B*C$

Where

k is the proportionality constant

Now, for this problem, P is jointly proportional to A and CUBE OF V, so we can write:

$P=kAV^3$

Now velocity, V, is triples, which means it becomes 3V

Also, cross sectional area, A, is doubled, which means it becomes 2A

Let's put these into formula and see the difference:

$P=kAV^3\\P=k(2A)(3V)^3\\P=k(2A)(27V^3)\\P=(2*27)kAV^3\\P=54kAV^3$

So, power is multiplied by a factor of 54. Power becomes 54 times if Area is doubled and velocity is tripled ( as seen ).

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