I believe it is 56 because 7•8 is 56 and 1•56 is 56
The first one is b. The second one is d. Sorry if I’m wrong :(
Let

represent the number of bacteria after

hours.
so

is the number of bacteria after 0/2 = 0 hours

is the number of bacteria after 1/2 hours

is the number of bacteria after 2/2 = 1 hours and so on
so if we list a few terms of this sequence, we have:





so clearly,

, the number of bacteria after

hours, is equal to

.

is the number of bacteria after

hours.
Thus, we calculate

, which is

.
Answer: the number of bacteria after 24 hours is

.
Answer:
<u>x = 466.7 feet</u>
Step-by-step explanation:
Finding the top angle of the triangle :
- They are complementary
- 90° - 31°
- 59°
Take the tan value of this angle to find y :
- tan 59° = 400/y
- 1.66427948 =400/y
- y = 400 / 1.66427948
- y = 240.344248
Using Pythagorean Theorem to find x :
- y² + 400² = x²
- x = √(240.344248)² + 160000
- x = √57765.3575 + 160000
- x = √217765.357
- <u>x = 466.7 feet</u> (nearest tenth)