Answer:
-50x - 45
Step-by-step explanation:
-15x - 24-35x - 21=-50x - 45
Answer:
Number of bacteria after 100 days is 1237.
Step-by-step explanation:
Since bacterial growth is a geometrical sequence.
Therefore, their population after time t will be represented by the expression

Where a = first term of the sequence
r = common ratio of the sequence
n = duration or time
Since first term of the sequence = number of bacteria in the start = 1
Common ratio = r = (1 + 0.04) = 1.04
![S_{100}=\frac{1[(1.04)^{100}-1)]}{1.04-1}](https://tex.z-dn.net/?f=S_%7B100%7D%3D%5Cfrac%7B1%5B%281.04%29%5E%7B100%7D-1%29%5D%7D%7B1.04-1%7D)
= 
= 1237.64 ≈ 1237 [Since bacteria can't be in fractions]
Therefore, number of bacteria after 100 days is 1237.
Answer:
V ≈ 258 ft³
Step-by-step explanation:
I given the diameter d= 7.9 ft so the radius is r = d/2 = 7.9/2 ft
Volume of a sphere is
V = (4/3) π·r³ = (4/3) · π · (7.9/2)³ = 258.1546167 ft³
Answer:
popcorn is usually around 5 dollars and a drink is 3 so: 5 x 3
Step-by-step explanation:
If you consult the unit circle, you will see that:

3pi/4 in degrees is 3pi/4 * 180/pi = 3/4 * 180 = 135 degrees. And please refer to the attachment to how you can obtain the values above.
Now, lets multiply it together.

So, <span>cos(3pi/4)sin(3pi/4) =
-1/2</span>