Answer:
1200feet
Step-by-step explanation:
Given the the road's curve elevation modeled by the equation
y = 0.00005x^2 - 0.06x,
x is the horizontal distance in feet between the points where the road is at sea level and;
y is the elevation
The elevation the road is equal to sea level when y = 0
Substitute y = 0 into the equation and calculate x;
0 = 0.00005x^2 - 0.06x
0.06x = 0.00005x^2
0.06 = 0.00005x
x = 0.06/0.00005
x = 1200 ft
Hence they will place the stop sign at a horizontal distance of 1200feet
this can be solved using
the fomula of the volume of a right circular cylinder
V = pi*r^2*h
Where pi = 3.1416
R is the radius
H is the height
V = 3.1416(1.68^2) (5)
V = 44.3342 ft^3 (7.5
gallon / 1 ft^3)
<span>V = 332.5062 gallons</span>
It will take her 12 weeks if she saves the money she gets per week
Since the price of the computer is $375 and she already has $75 dollars saved she only needs $300 more to buy the computer.
She gets $25 per week so she it will take (25/300) weeks for to buy the computer
so that simplifies into 12 weeks
therefore it will take her 12 weeks to buy her computer
Answer:
<h3>
f(x) = -2
(x - 3)² + 6</h3>
Step-by-step explanation:
The vertex form of the equation of the parabola with vertex (h, k) is:
f(x) = a(x - h)² + k
so the equation of parabola with the vertex (3, 6) is
f(x) = a(x - 3)² + 6
passes through the point (4, 4) means: if x=4 then f(x)=4
4 = a(4 - 3)² + 6
4 -6 = a(1)² + 6 -6
-2 = a
Therefore the equation of parabla is:
<u> f(x) = -2
(x - 3)² + 6 </u>
