Answer:
The function for the outside temperature is represented by ![T(t) = 85\º + 15\º \cdot \sin \left[\frac{t-6\,h}{24\,h} \right]](https://tex.z-dn.net/?f=T%28t%29%20%3D%2085%5C%C2%BA%20%2B%2015%5C%C2%BA%20%5Ccdot%20%5Csin%20%5Cleft%5B%5Cfrac%7Bt-6%5C%2Ch%7D%7B24%5C%2Ch%7D%20%5Cright%5D)
, where t is measured in hours.
Step-by-step explanation:
Since outside temperature can be modelled as a sinusoidal function, the period is of 24 hours and amplitude of temperature and average temperature are, respectively:
Amplitude
Mean temperature
Given that average temperature occurs six hours after the lowest temperature is registered. The temperature function is expressed as:
![T(t) = \bar T + A \cdot \sin \left[2\pi\cdot\frac{t-6\,h}{\tau} \right]](https://tex.z-dn.net/?f=T%28t%29%20%3D%20%5Cbar%20T%20%2B%20A%20%5Ccdot%20%5Csin%20%5Cleft%5B2%5Cpi%5Ccdot%5Cfrac%7Bt-6%5C%2Ch%7D%7B%5Ctau%7D%20%5Cright%5D)
Where:
- Mean temperature, measured in degrees.
- Amplitude, measured in degrees.
- Daily period, measured in hours.
- Time, measured in hours. (where t = 0 corresponds with 5 AM).
If , and 
, the resulting function for the outside temperature is:
Answer:
Yes
Step-by-step explanation:
8/10 can be simplified to become 3/4
The answer is B. His budget is $250 so it has to be less than or equal to. $60 a crew member (x = the crew members) and $45 to use the forklift, so $60x + $45 is less than or equal to $250
Answer:
13 in.
Step-by-step explanation:
Theorem:
The segment that joins the midpoints of two sides of a triangle is parallel to the third side and half the length of the third side.
Each side of triangle MNK has as endpoints two midpoints of sides of triangle ABC, so each side of triangle MNK is half the length of a side of triangle ABC.
p = 26 in./2 = 13 in.
It would be best if you were to enclose each denominator inside parentheses. Otherwise I have to take an educated guess regarding what you meant:
1 1 x - 2
<span>1/x+1/x-3=x-2/x-3 => ----- + ------ = ----------
x x-3 x - 3
The LCD here is x(x-3).
x-3 x x(x-2)
------- + --------- = -------------
LCD LCD LCD
Then x-3+x=x^2 -3x, or 2x-3=x^2-3x or x^2 - 5x - 3 = 0
Using the quadratic formula to solve for x:
5 plus or minus sqrt(25-4(1)(-3)
x = --------------------------------------------
2
5 plus or minus sqrt( 25 + 12)
= --------------------------------------------
2
There are 2 solutions. Complete the arithmetic to find them.
Be sure to check both answers via subst. into the original equation.
</span>
