4. If the determinant delta of a quadratic equation is positive, the equation has two real roots. If the determinant is negative, it has two imaginary roots. In this case, delta=b^2-4ac=(-1)^2-4*1*4=-15. Therefore, this equation has two imaginary roots.
We can't see the questions from this picture of you show a picture that we can see or type the answers we can answer
Answer:
31.77 yd/sec
Step-by-step explanation:
<u>Conversions:</u>
- 1 mile = 1760 yards
- 1 hour = 3600 seconds
<u>Given:</u>
Therefore, to convert 65 mph to yards per second:
Answer:
Step-by-step explanation:
Given that,
Cells are divided into two cell every 20mins, this implies that the half-life is 20mins
Initial population growth is 60cells
Growth rate r?
Population growth is modeled as
P(t) = Po•exp(rt)
Where,
Po is the initial growth at t= 0
Po= 60
P(t) is population at any time t.
Since the population doubles every 20mins(⅓hr)
Then, P(⅓) = 2×60 =120
Then, P(t) = 120cells
So, applying the formula
P(t) = Po•exp(rt)
120 = 60•exp(⅓r)
120/60 = exp(r/3)
2 = exp(r/3)
Take In of both sides
In(2) = r/3
Cross multiply
r = 3In(2)
r = 2.079 /hour
The growth rate is 2.079/hour.
A perfect square is something times that same thing. Example (x+2)(x+2)
The reason it's called a perfect square is because it can be re-written as a squared function:
