The function shown models the depth d (in inches) of snow on the ground during the first 9 hours of a snowstorm, where t is the
time (in hours) after the snowstorm beings.
A. Graph the function and identify its domain and range. Write your answers as inequalities.
The domain is ___ and the range is ___
B. Interpret the slope and the d -intercept of the graph.
The d -intercept means that there were __ inches of snow on the ground at the start of the storm and the slope means that ___ inches of snow falls every hour during the storm.
A. Graph the function and identify its domain and range. Write your answers as inequalities.
The domain is ___ and the range is ___
B. Interpret the slope and the d -intercept of the graph.
The d -intercept means that there were __ inches of snow on the ground at the start of the storm and the slope means that ___ inches of snow falls every hour during the storm.
1 answer:
You might be interested in
Answer:
Volume = (250π√3)/3 unit³
Step-by-step explanation:
The shape is a solid sphere
Where rho = ρ
ρ ≤ 5
Where Phi = φ
φ = π/6 (lower limit)
φ = 5π/6 (upper limit)
Note 1π rad = 180°
We would apply triple integrals and spherical coordinates to solve for the volume of a solid sphere.
See attachment for details
From calculations,
The volume of the portion of solid sphere = Volume = (250π√3)/3 unit³
Answer:
with the video game cost of x = $6
This agrees with the last option in the list of possible answers
Step-by-step explanation:
Recall that the maximum of a parabola resides at its vertex. So let's find the x and y position of that vertex, by using first the fact that the x value of the vertex of a parabola of general form:
is given by:
In our case, the quadratic expression that generates the parabola is:
then the x-position of its vertex is:
This is the price of the video game that produces the maximum profit (x = $6). Now let's find the y-position of the vertex using the actual equation for this value of x:
This value is the highest weekly profit (y = $246).
Now, recall that we can write the equation of the parabola in what is called "vertex form" using the actual values of the vertex position :
Therefore the answer is:
with the video game cost of x = $6