Answer:
<em>M(13)=14.3 gram</em>
Step-by-step explanation:
<u>Exponential Decay Function</u>
The exponential function is used to model natural decaying processes, where the change is proportional to the actual quantity.
An exponential decaying function is expressed as:
Where:
C(t) is the actual value of the function at time t
Co is the initial value of C at t=0
r is the decaying rate, expressed in decimal
The element has an initial mass of Mo=970 grams, the decaying rate is r=27.7% = 0.277 per minute.
The equation of the model is:
Operating:
After t=13 minutes the remaining mass is:
Calculating:
M(13)=14.3 gram
Answer:
4(2x+5x)
Step-by-step explanation:
Factor 4 out of 8x+20z
It has to have an average of 10 feet per minute for 5 minutes, which means in five minutes the total of feet would have to be 50.
So you would add all these numbers up and you would get 38.
50 - 38 = 12 so the answer is 12ft
Answer:
Distance to appointment point = 5 miles
Step-by-step explanation:
Let s be the distance to the appointment point,
We have Maria drove to a business appointment at 50mph in the morning.
Time taken in the morning
Her average speed on the return trip in the afternoon was 40 mph.
Time taken in the afternoon
Given that the return trip took 1/4hr longer because of traffic.
That is
Substituting
Distance to appointment point = 5 miles
