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JulsSmile [24]
3 years ago
14

At a local restaurant, the health inspector visits every 7 days, and the fire inspector visits every 12 days.

Mathematics
1 answer:
shutvik [7]3 years ago
8 0
Next 4 visits :
health inspector : 7,14,21,28
fire inspector : 12,24,36,48

visit the same day :
7,14,21,28,35,42,49,56,63,70,77,84
12,24,36,48,60,72,84
Both inspectors will be there on the 84th day
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x = -15

Step-by-step explanation:

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Which of the following is not a function?
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I need help proving this ASAP
Ket [755]

Answer:

See explanation

Step-by-step explanation:

We want to show that:

\tan(x +  \frac{3\pi}{2} )  =  -   \cot \: x

One way is to use the basic double angle formula:

\frac{ \sin(x +  \frac{3\pi}{2} ) }{\cos(x +  \frac{3\pi}{2} )}  =  \frac{ \sin(x)  \cos( \frac{3\pi}{2} )  +   \cos(x)  \sin( \frac{3\pi}{2}) }{\cos(x)  \cos( \frac{3\pi}{2} )   -    \sin(x)  \sin( \frac{3\pi}{2}) }

\frac{ \sin(x +  \frac{3\pi}{2} ) }{\cos(x +  \frac{3\pi}{2} )}  =  \frac{ \sin(x) ( 0)  +   \cos(x) (  - 1) }{\cos(x) (0)   -    \sin(x) (  - 1) }

We simplify further to get:

\frac{ \sin(x +  \frac{3\pi}{2} ) }{\cos(x +  \frac{3\pi}{2} )}  =  \frac{ 0  -   \cos(x) }{0 +    \sin(x) }

We simplify again to get;

\frac{ \sin(x +  \frac{3\pi}{2} ) }{\cos(x +  \frac{3\pi}{2} )}  =  \frac{- \cos(x) }{ \sin(x) }

This finally gives:

\frac{ \sin(x +  \frac{3\pi}{2} ) }{\cos(x +  \frac{3\pi}{2} )}  =  -  \cot(x)

6 0
3 years ago
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valina [46]

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6 0
3 years ago
Read 2 more answers
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kari74 [83]

Answer:

B) 9 gallons

Step-by-step explanation:

It's asking you what 3/4ths of 12 is. Therefore, you multiply 3/4 by 12 to get your answer which is 9 gallons.

5 0
3 years ago
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