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: B
Step-by-step explanation:
Answer:
Q' (-2, 2)
P' (-2, 7)
R' (6, 2)
Step-by-step explanation:
When reflecting over a diagnal line such as y = x or y = -x, a trick is to count the boxes at an angle to see how many spaces it is away from the line. Be sure to recipicate what you counted the first time, and when reflecting over y = -x, flip the x and y coordinates and if needed, change the signs.
Hope this helps!
Answer:
750kmph
Step-by-step explanation:
Average is sum of all parts divided by the number of parts.
Let Stot be average speed for total trip (800kmph).
Let S1 be speed for first quarter of trip (950kmph).
Let S2, S3, and S4 be the speeds of each of the remaining quarters respectively.
Let Sans be the average speed for the remaining three quarters of the trip (a.k.a. The Answer!).
Stot = (S1 + S2 + S3 + S4) / 4
800kmph = (950kmph + S2 + S3 + S4) / 4
3200kmph = 950kmph + S2 + S3 + S4
3200kmph - 950kmph = 2250kmph = S2 + S3 + S4
Divide both sides by 3.
2250kmph / 3 = (S2 + S3 + S4) / 3 = Sans
Sans = 750kmph
For trapezoid, the area = (upper base + lower base) * height / 2
So area = (12 + (2*2 + 12) ) *13 / 2 = 182
