Answer:
135 feet
Step-by-step explanation:
We have 2 similar triangles here, so
3 1/3 / 100 = 4.5 / h
= 100 * 4.5 / (10/3) = 100*4.5 * 3 / 10
h = 135 feet
We know that
the equation of the parabola is of the form
y=ax²+bx+c
in this problem
y=1/4x²−x+3
where
a=1/4
b=-1
c=3
the coordinates of the focus are
(-b/2a,(1-D)/4a)
where D is the discriminant b²-4ac
D=(-1)²-4*(1/4)*3-----> D=1-3---> D=-2
therefore
x coordinate of the focus
-b/2a----> 1/[2*(-1/4)]----> 2
y coordinate of the focus
(1-D)/4a------> (1+2)/(4/4)---> 3
the coordinates of the focus are (2,3)
Answer:
I believe this would have a affect on the ocean as the moon controls the waves and i believe it would also affect the wind as well
Step-by-step explanation:
Answer:
The population of the country will be 510 million during the year of 2018.
Step-by-step explanation:
The exponential model for the population, in millions, t years after 2003 is.
Use the model to determine when the population of the country will be 510 million.
t years after 2003, in which t is found when P(t) = 510. So
Applying ln to both sides, so we can find t
15.35 years after 2003, so during the year of 2018.
The population of the country will be 510 million during the year of 2018.
