Answer:
Step-by-step explanation:
<u>Modeling With Functions
</u>
We have a table of values of speeds vs distance taken for a car to stop. We are required to find a model that uses the square root and fits the given data to predict other values of d as a function of v.
By the nature of the problem, we can know that for v=0, d must be 0 too. So our model won't include a vertical shift or independent term. Being v the speed of the car and x the distance it takes to stop, we use the following model
We must find A to make the function fit the data. Let's use the first point (v,x); (20,9)
Solving for A
Then we have
Evaluating for v=35
Last option
Answer:
Z-score = 1.18
Step-by-step explanation:
The z-score measures how many standard deviations from the mean a data is
Therefore the z score is the quotient between the difference between a value and the mean and the standard deviation
Where
μ is the mean, x is a data of the population and 
is the standard deviation
In this case
Then the z-score is
Answer:
use desmos online. itll graph it for you.
Step-by-step explanation:
Answer:
7.5 m 457.5
Step-by-step explanation:
First, visualize the original cone and the smaller cone as overlapping similar triangles. The scale factor of the original cone to the smaller cone is 50:40, so if the smaller cone has a radius of 6 m, then the radius of the original cone would be 7.5 m.
The volume of the frustum is the volume of the original cone minus the volume of the smaller cone. The formula for the volume of a cone is V = 
.
Original Cone = = 
= 937.5
Smaller Cone = = 
= 480
Frustum = 937.5 - 480 = 457.5
F(g(7))= f(2×7+2)= f(16)= 4×16+21=85
Therefore: the answer is 85
Hope that helps!!
