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Arturiano [62]
3 years ago
11

If a tree diagram were drawn to determine the number of possible outcomes when choosing one of 3 shirts, one of 8 ties, and one

of 4 jackets, how many leaves would there be?
A.


24








 




B.


15








 




C.


12








 




D.


96
Mathematics
1 answer:
Orlov [11]3 years ago
5 0
It should be D, 96.  3 x 8 x 4 = 96
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Estimate the answer to
AlladinOne [14]

Answer:

~ 80.75 x 10^7

Step-by-step explanation:

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4 0
2 years ago
Find the limit of the function by using direct substitution.
serg [7]

Answer:

Option a.

\lim_{x \to \frac{\pi}{2}}(3e)^{xcosx}=1

Step-by-step explanation:

You have the following limit:

\lim_{x \to \frac{\pi}{2}{(3e)^{xcosx}

The method of direct substitution consists of substituting the value of \frac{\pi}{2} in the function and simplifying the expression obtained.

We then use this method to solve the limit by doing x=\frac{\pi}{2}

Therefore:

\lim_{x \to \frac{\pi}{2}}{(3e)^{xcosx} = \lim_{x\to \frac{\pi}{2}}{(3e)^{\frac{\pi}{2}cos(\frac{\pi}{2})}

cos(\frac{\pi}{2})=0\\

By definition, any number raised to exponent 0 is equal to 1

So

\lim_{x\to \frac{\pi}{2}}{(3e)^{\frac{\pi}{2}cos(\frac{\pi}{2})} = \lim_{x\to \frac{\pi}{2}}{(3e)^{\frac{\pi}{2}(0)}\\\\

\lim_{x\to \frac{\pi}{2}}{(3e)^{0}} = 1

Finally

\lim_{x \to \frac{\pi}{2}}(3e)^{xcosx}=1

6 0
3 years ago
Over what interval is the function in this graph decreasing
posledela
C) 

you look at were the graph starts to decrease then look at the X-VALUE not the y-value

the x-val at the start of the decrease is -3 and at the end of it it is 2 therefor -3 \leq x \leq 2
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I believe that the answer is a
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