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3 years ago

8

I need help with this problem. This confuses me quite a lot and I’m having trouble and I would very much appreciated if someone

could help (-:

1 answer:

amid [387]3 years ago

8 0

Answer:

a.

Step-by-step explanation:

because > means at most < means at least

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What is the value of (-1/3)3?

Marysya12 [62]

Answer: 3

Step-by-step explanation:

(-1÷3)3=3

-1/3= 3.33333333333333/3=3

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3 years ago

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Can somebody help me? The question says Eighteen more than 4 times the quantity of a number increased by 1 is 14. Find the numbe

vichka [17]

The anwser is 13 because the quantity increased by 1 is 14

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3 years ago

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Find the surface area of the solid generated by revolving the region bounded by the graphs of y = x2, y = 0, x = 0, and x = 2 ab

Nikitich [7]

Answer:

See explanation

Step-by-step explanation:

The surface area of the solid generated by revolving the region bounded by the graphs can be calculated using formula

$SA=2\pi \int\limits^a_b f(x)\sqrt{1+f'^2(x)} \, dx$

If $f(x)=x^2,$ then

$f'(x)=2x$

and

$b=0\\ \\a=2$

Therefore,

$SA=2\pi \int\limits^2_0 x^2\sqrt{1+(2x)^2} \, dx=2\pi \int\limits^2_0 x^2\sqrt{1+4x^2} \, dx$

Apply substitution

$x=\dfrac{1}{2}\tan u\\ \\dx=\dfrac{1}{2}\cdot \dfrac{1}{\cos ^2 u}du$

Then

$SA=2\pi \int\limits^2_0 x^2\sqrt{1+4x^2} \, dx=2\pi \int\limits^{\arctan(4)}_0 \dfrac{1}{4}\tan^2u\sqrt{1+\tan^2u} \, \dfrac{1}{2}\dfrac{1}{\cos^2u}du=\\ \\=\dfrac{\pi}{4}\int\limits^{\arctan(4)}_0 \tan^2u\sec^3udu=\dfrac{\pi}{4}\int\limits^{\arctan(4)}_0(\sec^3u+\sec^5u)du$

Now

$\int\limits^{\arctan(4)}_0 \sec^3udu=2\sqrt{17}+\dfrac{1}{2}\ln (4+\sqrt{17})\\ \\ \int\limits^{\arctan(4)}_0 \sec^5udu=\dfrac{1}{8}(-(2\sqrt{17}+\dfrac{1}{2}\ln(4+\sqrt{17})))+17\sqrt{17}+\dfrac{3}{4}(2\sqrt{17}+\dfrac{1}{2}\ln (4+\sqrt{17}))$

Hence,

$SA=\pi \dfrac{-\ln(4+\sqrt{17})+132\sqrt{17}}{32}$

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3 years ago

A government may create and regulate natural monopolies because:

MAXImum [283]

The government may wish to regulate monopolies to protect the interests of consumers. For example, monopolies have the market power to set prices higher than in competitive markets. The government can regulate monopolies through: Price capping – limiting price increases.

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4 years ago

annie has some sweets. teddy gives her some sweets and she now has 50% more . rosie gives her some sweets and she now has an ext

Galina-37 [17]

Using proportions, considering the amount she received from each person, it is found that Annie had 30 sweets originally.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, we have that:

Initially, she had n sweets.

With the ones she got from Teddy, the amount became 1.5n.

With the amount from Rosie, the amount became 1.4 x 1.5 x n.

The final amount was of 63, hence:

1.4 x 1.5 x n = 63

n = 63/(1.4 x 1.5)

n = 30.

Annie had 30 sweets originally.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

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3 years ago