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Snezhnost [94]
2 years ago
6

Write as many equivalent forms as you can. HELPPPPPPPPPPPP

Mathematics
1 answer:
ANTONII [103]2 years ago
5 0

\frac{1}{ {(3k)}^{ \frac{5}{2} } }  =  {(3k)}^{ -  \frac{5}{2} }  \\  =  \frac{1}{( { \sqrt{3k}) }^{5} }  = ({ \sqrt{3k} })^{  - 5}
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After sharing with the class, Dana has 4/12 of her cupcakes left. What is the fractional part of the cupcakes did she share with
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She shared 2/3 of her cupcakes


7 0
2 years ago
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a rectangle prism has a volume of 3x^2 + 18x+ 24. its base has a length of x + 2 and width of 3, what expression represents the
OlgaM077 [116]
\bf \textit{volume of a rectangular prism}\\\\
V=lwh\qquad 
\begin{cases}
l=x+2\\
w=3\\
V=3x^2 + 18x+ 24
\end{cases}\implies \cfrac{V}{lw}=h
\\\\\\
\cfrac{3x^2 + 18x+ 24}{3(x+2)}=h\implies \cfrac{\underline{3}(x^2 + 6x+ 8)}{\underline{3}(x+2)}=h
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\cfrac{(x+4)\underline{(x+2)}}{\underline{(x+2)}}=h\implies x+4=h
6 0
3 years ago
For what value of constant c is the function k(x) continuous at x = 0 if k =
nlexa [21]

The value of constant c for which the function k(x) is continuous is zero.

<h3>What is the limit of a function?</h3>

The limit of a function at a point k in its field is the value that the function approaches as its parameter approaches k.

To determine the value of constant c for which the function of k(x)  is continuous, we take the limit of the parameter as follows:

\mathbf{ \lim_{x \to 0^-} k(x) =  \lim_{x \to 0^+} k(x) =  0 }

\mathbf{\implies  \lim_{x \to 0 } \ \  \dfrac{sec \ x - 1}{x}= c }

Provided that:

\mathbf{\implies  \lim_{x \to 0 } \ \  \dfrac{sec \ x - 1}{x}= \dfrac{0}{0} \ (form) }

Using l'Hospital's rule:

\mathbf{\implies  \lim_{x \to 0} \ \  \dfrac{\dfrac{d}{dx}(sec \ x - 1)}{\dfrac{d}{dx}(x)}=  \lim_{x \to 0}   sec \ x  \ tan \ x = 0}

Therefore:

\mathbf{\implies  \lim_{x \to 0 } \ \  \dfrac{sec \ x - 1}{x}=0 }

Hence; c = 0

Learn more about the limit of a function x here:

brainly.com/question/8131777

#SPJ1

5 0
2 years ago
O<br>1.<br>Find the length of the segment AB shown below, if possible.<br>​
Lady bird [3.3K]
Thus should be fun I know I might do
3 0
3 years ago
What are the intercepts of the line?
pochemuha
The answer is C. i hope this helps!!!
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3 years ago
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