<span>What we are asked to find out is speed per hour. To find speed, divide distance by time. Distance is 3000 ft and time is 1 3/4 hr. To make calculations easier, let us convert time into minutes. 1 hour is 60 minutes and 3/4 hour is 45 minutes. So total minutes is 105. Now let us divide 3000 by 105. We get 28.57 ft per minute.
Now multiply this number by 60 to convert speed per minute into speed per hour.
28.57 * 60 = 1714 ft in 1 hour.</span>
Answer:
5⁶⁴ = 152587890625⁴ bacteria's at 7 hours
Step-by-step explanation:
Simple..
it means the bacteria is increasing exponentially.
This is a geometric progression.
at 0 hrs = 0 bacteria
at 1 hr = 5 bacteria
at 2hr = 25 " = 5²
at 3hrs = 25 x 25 = 5² x 5² = 5⁴
at 4hrs = (25x25) x (25x25) = 5⁴x5⁴ = 5⁸
at 5hrs = (5⁸)² = 5⁸ˣ² = 5¹⁶
at 6 hrs = (5¹⁶)² = 5¹⁶ˣ²= 5³²
at 7 hrs = (5³²)² = 5³²ˣ² = 5⁶⁴
5⁶⁴ = 152587890625⁴
3/2 (4)^x = 6144
3/2 4^x = 6144
(2/3)3/2 4^x = 6144(2/3)
4^x = 4,096
4^6 = 4,096
4,096 = 4,096
x = 6
Answer:
option b
-3/2
Step-by-step explanation:
Given in the question an expression
ln
First apply logarithm divide rule
= ln1 - ln√e³
ln(1) = 0
so
ln1 - ln√e³ = 0 - ln√e³
-ln√e³ = -ln(e³)^1/2
Apply logarithm power rule
- ln(e³)^1/2 = -lne
-3/2ln(e)
As we know that
ln(e) = 1
so,
-3/2(1)
-3/2
Is a y = Mx + b equations it’s B because c is our y and it look like it going up by 12 so every 1 Cube is 12 towers