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
Juan did.
The line on his graph takes longer to get to 8 blocks.;-D
Answer:
z=-y-11
Step-by-step explanation:
let's take out the parenthesis
-z-11=y
Now put 11 on the other side
-z=y+11
Then make z positive
z=-y-11
Let's take a look. A baker is using three cups of water for every eight ounces of water.
Let's think of a ratio!
8 * x = 96
x = cups of flour.
Let's solve the equation.
96 divided by 8 equals 12.
The correct answer would be D - 12 cups of flour.
The particle will reach 50 km/hr when x = 32.25 hours
Step-by-step explanation:
A physicist working in a large laboratory has found that light particles
traveling in a particle accelerator increase velocity in a manner that
can be described by the linear function - 4 x + 3 y = 21, where
- x is the time in hours
- y is the velocity in kilometer per hour
We need to find when a certain particle will reach 50 km/h
∵ - 4 x + 3 y = 21 is a linear function
∵ x represents the time (number of hours)
∵ y represents the velocity in km/h
∵ The velocity of a particle will reach 50 km/h
- Substitute y by 50 in the function above
∴ - 4 x + 3(50) = 21
∴ - 4 x + 150 = 21
- Subtract 150 from both sides
∴ - 4 x = -129
- Divide both sides by -4
∴ x = 32.25 hours
The particle will reach 50 km/hr when x = 32.25 hours
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