The car will travel 1.15 miles in 2 minutes 45 secs
if a car is traveling at 25 miles per hour, the amount of time the car travels in secs is 3600secs
25 miles = 3600secs
To get the distance traveled in 2 minutes 45 secs, we can write;
x = 165 secs
Divide both expressions
25/x = 3600/165
3600x = 25 * 165
3600x = 4125
x = 1.15 miles
Hence the car will travel 1.15 miles in 2 minutes 45 secs
LEarn more on speed here: brainly.com/question/10113134
Domain are all the possible x values of a function. When you look at a cosine graph you can see that it goes on into infinity in the x or horizontal direction. This means that all x values are included in cosine. Because of this the domain is:
all real numbers
or
(-∞,∞)
^^^ It can be written both ways
Hope this helped! Let me know if there is anything else I can do!
Answer:
Its the third answer
Step-by-step explanation:
Answer:
The sales for the store 7 days after the end of the advertising campaign is
$3849.74
Step-by-step explanation:
From the question we are told that
The daily sales on the end of campaign day is
= $8,500
The daily sales three days after end of campaign day is
= $ 5,100
The usual day sales of the store is
= $ 3,500
Generally the Newton's Law of Cooling (Heating). equation is mathematically represented as
![G_t = G_u+ [(G_o -S_u ) * e^{-(k*t)}]](https://tex.z-dn.net/?f=G_t%20%3D%20%20G_u%2B%20%20%5B%28G_o%20-S_u%20%29%20%2A%20%20e%5E%7B-%28k%2At%29%7D%5D)
Here t is the number of day after the campaign ended
Now substituting values to obtain the constant k
For t = 3
![G_3 = G_u + [(G_o -S_u ) * e^{-(k*3)}]](https://tex.z-dn.net/?f=G_3%20%3D%20%20G_u%20%20%2B%20%5B%28G_o%20-S_u%20%29%20%2A%20%20e%5E%7B-%28k%2A3%29%7D%5D)
![5100 = 3500 [(8500 -3500 ) * e^{-(k*3)}]](https://tex.z-dn.net/?f=5100%20%3D%20%203500%20%20%5B%288500%20%20-3500%20%29%20%2A%20%20e%5E%7B-%28k%2A3%29%7D%5D)
![e^{-(k*3)} = 0.32](https://tex.z-dn.net/?f=e%5E%7B-%28k%2A3%29%7D%20%3D%20%200.32)
=> ![-3k = ln (0.6)](https://tex.z-dn.net/?f=-3k%20%3D%20%20ln%20%280.6%29)
=> ![-3k = -1.1394](https://tex.z-dn.net/?f=-3k%20%3D%20%20-1.1394)
=> ![k = 0.380](https://tex.z-dn.net/?f=k%20%20%3D%200.380)
So at t = 7
![G_7 = G_u + [(G_o -S_u )] * e^{-(k*7)}](https://tex.z-dn.net/?f=G_7%20%3D%20%20G_u%20%20%2B%20%5B%28G_o%20-S_u%20%29%5D%20%2A%20%20e%5E%7B-%28k%2A7%29%7D)
substituting values
![G_7 = 3500 + [(8500 -3500 )] * e^{-(0.3780*7)}](https://tex.z-dn.net/?f=G_7%20%3D%20%203500%20%20%2B%20%5B%288500%20-3500%20%29%5D%20%2A%20%20e%5E%7B-%280.3780%2A7%29%7D)
$3849.74