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djverab [1.8K]
3 years ago
15

What is the volume of a cylinder with a diameter of 30 units and a height of 14 units?

Mathematics
1 answer:
Misha Larkins [42]3 years ago
7 0
The volume would be about 9896.02 un^3
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What is the recursive formula for this geometric sequence? -4,-24,-144,-864,...
balandron [24]

\bf -4~~,~~\stackrel{-4\cdot 6}{-24}~~,~~\stackrel{-24\cdot 6}{-144}~~,~~\stackrel{-144\cdot 6}{-864}~\hfill \impliedby \begin{array}{llll} \textit{we're multiplying by 6 the previous}\\ \textit{term(n-1) to get the current one} \end{array} \\\\[-0.35em] ~\dotfill\\\\ a_n = a_{n-1}(6)\qquad for~~a_1=-4~~,~~n>2\qquad \impliedby \textit{recursive formula}

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3 years ago
Find the slope of the line that passes through points (3,5) and (8,5)
Katyanochek1 [597]

Answer: m = 0

Step-by-step explanation: To solve this problem, we don't even have to use our slope formula. It's important to understand that when we have the same <em>y</em> coordinate in our first ordered pair and our second ordered pair, this means that the line will be flat or horizontal.

When a line is horizontal, it means the line has a slope of zero.

We use the variable <em>m</em> to represent slope.

So here, we can say that <em>m = 0</em>.

4 0
3 years ago
Find dy/dx given that y = sin x / 1 + cos x​
kobusy [5.1K]

Answer:

\frac{1}{1 +  \cos(x) }

Step-by-step explanation:

y =  \frac{ \sin(x) }{1 +  \cos(x) }

<u>differentiating numerator wrt x :-</u>

(sinx)' = cos x

<u>differentiating denominator wrt x :- </u>

(1 + cos x)' = (cosx)' = - sinx

  • Let's say the denominator was "v" and the numerator was "u"

(\frac{u}{v}  )'  =  \frac{v. \: (u)'  - u.(v)' }{ {v}^{2} }

here,

  • since u is the numerator u= sinx and u = cos x
  • v(denominator) = 1 + cos x; v' = - sinx

=  \frac{((1 +  \cos \: x) \cos \: x )- (\sin \: x. ( -  \sin \: x)  ) }{( {1 +  \cos(x)) }^{2} }

=  \frac{ \cos(x)  +  \cos {}^{2} (x)  +   \sin {}^{2} (x) }{(1 +  \cos \: x) {}^{2}  }

since cos²x + sin²x = 1

=  \frac{ \cos \: x + 1}{(1 +  \cos \: x) {}^{2}  }

diving numerator and denominator by 1 + cos x

=  \frac{1}{1 +  \cos(x) }

6 0
3 years ago
1. The last time Lola played
Hunter-Best [27]

Answer:

A) 42 is the correct answer, I just did .84 times 50 and that equals 42.

Step-by-step explanation:

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Licemer1 [7]

Answer: x=18

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Good luck! :)

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