The constant of proportionality is 3/8
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:
(-2,2)(5,-6)(5,2)
Step-by-step explanation:
just did this problem
Answer:
d = 40.44
Step-by-step explanation:
Simplifying
25.14 = d + (-15.3)
25.14 = d + -15.3
Reorder the terms:
25.14 = -15.3 + d
Solving
25.14 = -15.3 + d
Solving for variable 'd'.
Move all terms containing d to the left, all other terms to the right.
Add '-1d' to each side of the equation.
25.14 + -1d = -15.3 + d + -1d
Combine like terms: d + -1d = 0
25.14 + -1d = -15.3 + 0
25.14 + -1d = -15.3
Add '-25.14' to each side of the equation.
25.14 + -25.14 + -1d = -15.3 + -25.14
Combine like terms: 25.14 + -25.14 = 0.00
0.00 + -1d = -15.3 + -25.14
-1d = -15.3 + -25.14
Combine like terms: -15.3 + -25.14 = -40.44
-1d = -40.44
Divide each side by '-1'.
d = 40.44
Simplifying
d = 40.44