C

The height of a small rise in a roller coaster track is modeled by () = −. + . + . , where x is the distance in feet from a supp

Reika [66]

Answer:

Maximum height is 7 feet

Step-by-step explanation:

Solution:-

- The complete question is as follows:

" The height of a small rise in a roller coaster track is modeled by f(x) = –0.07x^2 + 0.42x + 6.37, where x is the distance in feet from a supported at ground level.

Find the greatest height of the rise "

- To find any turning points ( minimum or maximum ) points of a trajectory expressed as function of independent parameter, we find the critical points of the trajectory where the first derivative of the dependent variable w.rt independent variable is set to zero.

- In our case the height of the roller coaster track (y) is function of the distance (x) from a supported pole at ground level.

f(x) = –0.07x^2 + 0.42x + 6.37

- Now set the first derivative equal to zero, and determine the critical values of x:

0 = -0.14x + 0.42

x = 0.42 / 0.14 = 3 ft

- The critical value for the coaster track is at point 3 feet away from the supported pole at ground level. So the height f(x) at x = 3 ft, would be:

f ( x = 3 ) = max height

max height = –0.07*3^2 + 0.42*3 + 6.37

= 7 ft

5 0

4 years ago

A right come has a volume of 24pie cubic meters and a radius of 3 meters find the height of the cone

JulijaS [17]

Hello!

The equation for find the h when given volume and radius is

$h = 3 \frac{V}{ \pi r^{2} }$

h is height
v is volume
r is radius

Put in the values you know

$3 \frac{24 \pi }{ \pi 3^{2} }$

Since there is pi on the top and bottom we can get rid of it

multiply the 3 by the top number

$\frac{72}{9}$

the answer is 8m

Hope this helps!

4 0

4 years ago

How do you write 250% as a fraction or mixed number in simplest form?

Ugo [173]

A percentage is a comparison to 100, so

250% = 250/100 = 25/10 = 5/2

5/2 = 2 1/2 or 2.5

8 0

3 years ago

Can someone help me again on this.

Gennadij [26K]

60 first 20 second 15 third 10 fourth nothing fifth

5 0

4 years ago