Answer:
y=Ae^(1.25t)
Step-by-step explanation:
From the expression y=Ae^kt
After two days of the experiment, y = 49 million, t=2
After four days of the experiment, y= 600.25 million, t=4
A is the amount of bacteria present at time zero and t is the time after the experiment (in days)
At t=2 and y =49
49=Ae^2k…………….. (1)
At t=4 and y = 600.25
600.25=Ae^4k………… (2)
Divide equation (2) by equation (1)
600.25/49=(Ae^4k)/(Ae^2k )
12.25=e^2k
Take natural log of both sides
ln(12.25) =2k
2.505 =2k
k=1.25
The exponential equation that models this situation is y=Ae^(1.25t)
Answer:
x = 168.75°
Step-by-step explanation:
<u>Angle Measurement Units</u>
To convert from different units for angle measurements, we have to recall that:
180 degrees = π radians
If we are given the angle in degrees, multiply by π/180 to convert it to radians.
If the angle is given in radians, multiply by 180/π to convert to degrees.
We are given the angle:

Multiplying by 180/π:

Simplifying:

x = 168.75°
9514 1404 393
Answer:
9 units
Step-by-step explanation:
The top base has a length that is the difference between the x-coordinates of points A and B:
0 -(-11) = 11
The bottom base has a length that is the difference between the x-coordinates of points C and D:
-1 -(-8) = 7
The mid-segment has a length that is the average of the base lengths:
(11 +7)/2 = 18/2= 9 . . . units; midsegment length
Answer:
C. 2x^2-7x+7
Step-by-step explanation:
(3x^2-2x+2)-(x^2+5x-5) <em>Given</em>
From the given you will subtract like terms from both parenthesis.
3x^2-x^2=2x^2
-2x-5x=-7x
2-(-5)=7