Answer/Step-by-step explanation:
An equation that describes the relationship can be written as
.
Using the two sets of coordinates, (2, 140) and (4, 280), calculate the slope (m) as shown below:

Substitute m = 70 into 
The equation would be:

This equation can be interpreted as follows:
The heart's resting rate is 70 beats each minute.
To finish in 5 weeks:
For 4 of those weeks, read 4 chapters per week. On one of the weeks read 3 chapters.
To finish in 4 weeks:
For 3 of those weeks, read 5 chapters per week. On one of the weeks read 4 chapters.
To finish in 3 weeks:
For 2 of those weeks, read 6 chapters per week. On one of the weeks read 7 chapters.
To finish in 2 weeks:
On one week read 10 chapters. On the other week read 9 chapters.
To finish in 7 days:
For 6 of those days, read 3 chapters. On one of the days, read 1 chapter.
Answer:
See Below.
Step-by-step explanation:
We want to show that the function:

Increases for all values of <em>x</em>.
A function is increasing whenever its derivative is positive.
So, find the derivative of our function:
![\displaystyle f'(x) = \frac{d}{dx}\left[e^x - e^{-x}\right]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20f%27%28x%29%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5Cleft%5Be%5Ex%20-%20e%5E%7B-x%7D%5Cright%5D)
Differentiate:

Simplify:

Since eˣ is always greater than zero and e⁻ˣ is also always greater than zero, f'(x) is always positive. Hence, the original function increases for all values of <em>x.</em>
I=PRT/100
1. Make R (rate) subject
R/100= I/PT
2. Substitute and calculate
r/100= i/pt
r/100= 40/400 × 1
(<em>4</em><em>0</em><em> </em><em>i</em><em>s</em><em> </em>from 440-400.<em>T</em><em>h</em><em>e</em><em> </em><em>i</em><em>n</em><em>t</em><em>e</em><em>r</em><em>e</em><em>s</em><em>t</em>)
r/100= 0.1
r/100×100= 0.1×100
r=10% (interest rate per year)
To confirm
I=PRT
I= 400×10/100×1
I= $40 (Interest)
Answer:
Approximately 50 pounds less carbon (in CO₂) will be produced by the second auto on this trip.
Step-by-step explanation:
We have been given that the combustion of one gallon of automobile fuel produces about 5 pounds of carbon (in CO₂). Two autos are making a trip of 600 miles.
Let us find amount of fuel used by autos by dividing the total distance by their mileage.






Let us find the difference of fuel used by both autos.


Since one gallon of automobile fuel produces about 5 pounds of carbon, so 10 gallons of fuel will produces
pounds of carbon.
Since 2nd auto used 10 gallons less than 1st auto, therefore, 2nd auto will produce 50 pounds less carbon than 1st auto.