Answer:
The last expression is correct
Step-by-step explanation:
We have been given the following expression for simplification;
The bases of the two expressions are the same. They are both equal to 4. When multiplying numbers with the same base, we simply add their exponents. In this case our exponents are;
4 and -9
adding them we have;
4 + (-9) = -5
The simplified expression thus becomes;
Answer:
The balloon will not reach 2,500 feet after 4 minutes.
Step-by-step explanation:
The equation of the line in the point-slope form is
A hot air balloon in flight begins to ascend at a steady rate of 120 feet per minute, then the slope is
After minutes, the balloon is at an altitude of
feet. This means, the line passes through the point (1.5, 2,150).
Substitute the slope and point coordinates into the equation:
We know that after 3 minutes, the balloon is at an altitude of 2,330 feet. Check this:
Now, find the height after 4 minutes:
Thus, the balloon will reach only 2,450 feet after 4 minutes.