Answer:
The domain of exponential functions is all real numbers. The range is all real numbers greater than zero. The line y = 0 is a horizontal asymptote for all exponential functions. When a > 1: as x increases, the exponential function increases, and as x decreases, the function decreases.
Area = 1/2 * base * height
= 1/2 * 20 * 6
= 1/2 * 120
= 60 ft^2
Answer:
5 length
Step-by-step explanation:
The diagram attached shows two equilateral triangles ABC & CDE. Since both squares share one side of the square BDFH of length 10, then their lengths will be 5 each. To obtain the largest square inscribed inside the original square BDFH, it makes sense to draw two other equilateral triangles AGH & EFG at the upper part of BDFH with length equal to 5.
So, the largest square that can be inscribe in the space outside the two equilateral triangles ABC & CDE and within BDFH is the square ACEG.
Answer:
associative
Step-by-step explanation:
looking to be the brainliest so i can get this badge bru
Answer:
A. The maximum heigh is 81 feet
B. The ball will reach the maximum heiight at 2.25 seconds
C. The domain of the function is ![t\in [0,4.5]](https://tex.z-dn.net/?f=t%5Cin%20%5B0%2C4.5%5D)
D. The range of the function is ![h(t)\in [0,81]](https://tex.z-dn.net/?f=h%28t%29%5Cin%20%5B0%2C81%5D)
E. 4.5 seconds
Step-by-step explanation:
A ball was thrown into the air with an initial velocity of 72 feet per second. The height of the ball after t seconds is represented by the equation:

The maximum height will be at parabola's vertex. Find it:

A. The maximum heigh is 81 feet
B. The ball will reach the maximum heiight at 2.25 seconds
C. Find where the parabola intersects the x-axis:

So, the domain of the function is ![t\in [0,4.5]](https://tex.z-dn.net/?f=t%5Cin%20%5B0%2C4.5%5D)
D. The range of the function is
![h(t)\in [0,81]](https://tex.z-dn.net/?f=h%28t%29%5Cin%20%5B0%2C81%5D)
E. The ball is at the air for 4.5 seconds