Answer:
With this ratio in 12 h the amount of people that will watch the movie is 1,440.
Step-by-step explanation:
In order to compute how many people will see the movie in 12 hours we need to find the ratio per hour of people watching the movie. We were given the information that 360 people watched the movie in 3 h, to convert this value to people per hour we can divide the amount of people that watched the movie on that time by the total amount of time that passed. We have:
ratio = 360/3 = 120 people/h
We now multiply the ratio of people watching the movie by the length of time that we want to know, that is 12h. So we have:
amount of people = time*ratio = 12*120 = 1440
104 + 10 = 114
104 is your answer.
Answer: There are no real roots.
Step-by-step explanation:
To find the roots of the function
f(x) = (2^x − 1) - (x2 + 2x − 3) with x ∈ R.
First open the bracket
2^x - 1 - x^2 - 2x + 3 = 0
Rearrange and collect the like terms
2x^2 - x^2 - 2x + 3 - 1= 0
X^2 - 2x + 2 = 0
Factorizing the above equation will be impossible, we can therefore find the root by using completing the square method or the quadratic formula.
X^2 - 2x = - 2
Half of coefficient of x is 1
X^2 - 2x + 1^2 = -2 + 1^2
( x - 1 )^2 = - 1
( x - 1 ) = +/- sqrt(-1)
X = -1 + sqrt (-1) or -1 - sqrt (-1)
The root of the function is therefore
X = -1 + sqrt (-1) or -1 - sqrt (-1)
Since b^2 - 4ac of the function is less than zero, we can therefore conclude that there is no real roots
Answer:
135cm^3
Step-by-step explanation:
