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lina2011 [118]
2 years ago
8

What is the following quotient?

Mathematics
1 answer:
Sergio039 [100]2 years ago
3 0

Answer:

\frac{\sqrt{3} }{4}

Step-by-step explanation:

\frac{1}{1+\sqrt{3} }

basically we want to get rid of the √3 on the denominator

to do so we multiply it by itself so it is a perfect square

but whatever we do to the top we must do to the bottom so we multiply the numerator and denominator by √3

\frac{1*\sqrt{3} }{1+\sqrt{3}*\sqrt{3}  }=\frac{\sqrt{3} }{1+\sqrt{9} } =\frac{\sqrt{3} }{1+3} =\frac{\sqrt{3} }{4}

notes : √3 × √3 = √9 which is a perfect square that simplfies to 3

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Answer:

Step-by-step explanation:

we are asked to find the volume of solid that lies within both the cylinder

x^2 + y^2 = 25

and

the spherex^2 + y^2 + z^2 = 49.

Conversion from rectangular to cylindrical is

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|J| =r

In cylindrical coordinates the volume is bounded by the cylinder r=5 and

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Hence we can write volume as

\int \int \int dxdydz\\=\\\int _0^5 \int_0^{2\pi} \int_{-\sqrt{49-r^2} } ^{\sqrt{49-r^2} rdzdtdr\\= 2\pi \int _0^5 (2\sqrt{49-r^2} rdr\\=4\pi (-(49-r^2) (2/3)\\= \frac{4\pi}{3} (343-48\sqrt{6} )

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3 years ago
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BabaBlast [244]

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A picture of the problem might help

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One plant container holds 14 tomato seedlings. If you have 1,113 seedlings, how mny containers do you need to hold all the seedl
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Answer:

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aleksandrvk [35]

Answer: d. .2474.

Step-by-step explanation:

Given : The cashier service time at the local branch of the Rivertown bank has an exponential distribution with a mean of 2.5 minutes.

The cumulative distribution function for exponential distribution is :-

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The probability that the service time is between 2 and 4 minutes will be :

P(2\leq X \leq 4)=P(X\leq4)-P(X\leq 2)\\\\= (1-e^{\frac{-4}{2.5}})-(1-e^{\frac{-2}{2.5}})\\\\=e^{\frac{-2}{2.5}}-e^{\frac{-4}{2.5}}\\\\=0.449328964117-0.201896517995\\\\=0.247432446123\approx0.2474

Hence, the correct option is d. .2474.

4 0
3 years ago
(a+b)^3 ///////////////////////////
stepan [7]

Answer:

What is the question you are asking?

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2 years ago
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