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qwelly [4]
3 years ago
5

Solve the question (equation) 0.3r=96

Mathematics
1 answer:
Alika [10]3 years ago
6 0
The correct and best answer is r=320 because you have to divide both sides by 0.3
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Evaluate Dx / ^ 9-8x - x2^
Solnce55 [7]
It depends on what you mean by the delimiting carats "^"...

Since you use parentheses appropriately in the answer choices, I'm going to go out on a limb here and assume something like "^x^" stands for \sqrt x.

In that case, you want to find the antiderivative,

\displaystyle\int\frac{\mathrm dx}{\sqrt{9-8x-x^2}}

Complete the square in the denominator:

9-8x-x^2=25-(16+8x+x^2)=5^2-(x+4)^2

Now substitute x+4=5\sin y, so that \mathrm dx=5\cos y\,\mathrm dy. Then

\displaystyle\int\frac{\mathrm dx}{\sqrt{9-8x-x^2}}=\int\frac{5\cos y}{\sqrt{5^2-(5\sin y)^2}}\,\mathrm dy

which simplifies to

\displaystyle\int\frac{5\cos 
y}{5\sqrt{1-\sin^2y}}\,\mathrm dy=\int\frac{\cos y}{\sqrt{\cos^2y}}\,\mathrm dy

Now, recall that \sqrt{x^2}=|x|. But we want the substitution we made to be reversible, so that

x+4=5\sin y\iff y=\sin^{-1}\left(\dfrac{x+4}5\right)

which implies that -\dfrac\pi2\le y\le\dfrac\pi2. (This is the range of the inverse sine function.)

Under these conditions, we have \cos y\ge0, which lets us reduce \sqrt{\cos^2y}=|\cos y|=\cos y. Finally,

\displaystyle\int\frac{\cos y}{\cos y}\,\mathrm dy=\int\mathrm dy=y+C

and back-substituting to get this in terms of x yields

\displaystyle\int\frac{\mathrm dx}{\sqrt{9-8x-x^2}}=\sin^{-1}\left(\frac{x+4}5\right)+C
4 0
3 years ago
A farmer sold 35 bags of rice at 25 % profit. If he sold each bag for ?7500:00. How much was his profit on 25 of the lot.
Doss [256]
Suppose that the farmer had bought the rice at x dollars per bag and had sold them at a 25% markup.  How much did the bags cost him before he added the markup?  1.25x =$75 results in $75/1.25, or $60 per bag.

If he sold 25 bags, his profit would be 1.25($60/bag)(25 bags) = $1875.

I very seriously doubt that the rice was $7500 per bag.  Perhaps you meant $75/bag...?


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3 years ago
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Kisachek [45]
You would do 38 times 446 which equals 16056
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3 years ago
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Tel wether the relationship is proportional relationship. Explain why or why not.
dem82 [27]
Yes because it is linear, also if you set up the proportion 2/4=1/2 they are equal.
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joja [24]
The swimmer will take 67.17 second.
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