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MaRussiya [10]
2 years ago
11

42 is 250% of what number

Mathematics
1 answer:
anzhelika [568]2 years ago
8 0
42=2.50 × n.
2.50n/2.50. 42/2.50


16.8 is your answer
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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}

3 0
3 years ago
Determine the length of side .qs
Paul [167]

Answer:

i don't know this i think its 3.4 or 1.9

5 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP
Anna35 [415]

Hello


Answer:

The correct answer is B

Step-by-step explanation:

You just use the Distribuatd property to solve

You multiply 10 to all the varibles inside the parthense

Becasued y is equal to 7 you would do 10x7=70

then 10x8=80

and 70+80=150

and the answer says the primeter is 150 when y=7



Hope this helps

Plz mark me as Brainliest

5 0
3 years ago
What is the solution set of 2 x(x-1) =3?​
Llana [10]

Answer: x=3

Step-by-step explanation:

5 0
3 years ago
Lennyn buys a 15-pound bag of potatoes for $3.71. To the nearest cent, how much is 1 pound of potatoes?
Fynjy0 [20]

Answer:

3.71/15= 0.24733

1 lbs of potatoes= 0.25 cents

3 0
2 years ago
Read 2 more answers
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