Step-by-step explanation:
2⁵ˣ = 8ˣ⁺²
2⁵ˣ = (2³)ˣ⁺²
2⁵ˣ = 2³ˣ⁺⁶
5x = 3x + 6
2x = 6
x = 3
Answer:
No answer is applicable for this question
Step-by-step explanation:
Start off by moving the singular numbers to one side. This can be done by subtracting 5 from both sides. Then you are left with |x-1|=-3.
After reaching this point, you must know what whatever number, negative or not, within the lines will always come out to be positive. If those lines were not there, the answer would be -2. But if -2 was inserted at this point, you would find yourself with the answer of 3=-3. Hope this helps, comment a question below if you do not understand
Answer:
176 feet per minute
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let's calculate the volume of the tank per each meter in height.
The volume of a cylinder is πr²h, where h is the height.
A height of 1 meter in a tank with a radius of 5 meters would hold a volume of:
Vol = (3.14)*(5 meters)^2 *(1 meter)
Vol (m^3) = 78.54 m^3 per 1 meter height.
If the tank were filled at a rate of 3 m^3/min, it would rise at at a rate of:
(78.54 m^3/meter)/(3 m^3/min) = 0.0382 meters/minute [38.2 cm/min
He will get 5 pieces of rope, with 2 meters of rope left over. This is because 37 divided by 7 is 5 with a remainder of 2