NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by

The sea level is represented by h = 0, therefore, to find the corresponding time when h splashes into the ocean we have to solve for t the following equation:

Using the quadratic formula, the solution for our problem is

The rocket splashes after 26.845 seconds.
The maximum of this function happens at the root of the derivative. Differentiating our function, we have

The root is

Then, the maximum height is

1029.99 meters above sea level.
Answer:
Step-by-step explanation:
![\sqrt[3]{54c}=\sqrt[3]{3*3*3*2c} =3\sqrt[3]{2c}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B54c%7D%3D%5Csqrt%5B3%5D%7B3%2A3%2A3%2A2c%7D%20%3D3%5Csqrt%5B3%5D%7B2c%7D)
Answer:
The actual mass of the book is between 481 . 5 g and 418 . 5 g.
Step-by-step explanation:
The mass of the book on the scale = 450 g
The percentage error in the scale = 7%
So, the actual mass of the book is 450 g ± 7%
Now, 7 % of the mass 450 g = 
⇒ 7% of 450 g = 31.5 g
Now, the Actual mass of the book = 450 g ± 31.5 g
450 g + 31.5 g = 481 . 5 g
450 g - 31.5 g = 418 . 5 g
Hence the actual mass of the book is between 481 . 5 g and 418 . 5 g.
Answer:
The bike repair costs $35
Step-by-step explanation:
Answer:
Step-by-step explanation:
Prime factorization requires dividing by primes starting with smallest prime number
402/2=201
201/3=67, 67 is prime so we cannot go further so the prime factorization of 402 is
2X3X67