Answer:
Step-by-step explanation:
Graph f(x) = |x| first. This graph looks like a "V" and has its vertex at (0, 0). It opens up.
Now translate the entire graph 1 unit to the left. You will now have the graph of g(x) = |x + 1|.
Now stretch this graph g(x) vertically by a factor of 8.
Finally, translate the entire resulting graph DOWN by 1 unit.
The general solution of tan(b·x) = 2, given that the smallest positive solution is x = 0.3, is presented as follows;
The given smallest positive solution of tan (b·x) = 2 is x = 0.3
The general solution of tan (b·x + c) = m, is given as follows;
α = arctan(m) = x₀
The minimum positive value of the general solution is therefore presented as follows;
In the given function, tan (b·x), we therefore, have;
c = 0, m = 2,
The general solution of tan(b·x) = 2, is therefore;
Learn more about the general solution of a sine function here:
https://brainly.in/question/1549935
Is there more to the question?
Answer:
<h3>There are
ways to answer.</h3>
Step-by-step explanation:
We know that the survey has 8 items, that means we can use the factorial number, because it's a simple permutation.
Using a factorial we have
where , which is the total number of items.
Therefore, there are 40,320 ways to answer the survey, or 8! ways.
Answer:
The volume of the figure is 590.71 mm³
Step-by-step explanation:
To solve this problem we have to find the volume of the cylinder and the volume of the rectangular prism and add them
To calculate the volume of a cylinder we have to use the following formula:
v = volume
h = height = 3.65mm
π = 3.14
r = radius = 3.2mm
v = (π * r²) * h
we replace the unknowns with the values we know
v = (3.14 * (3.2mm)²) * 3.65mm
v = (3.14 * 10.24mm²) * 3.65mm
v = 32.1536² * 3.65mm
v = 117.36mm³
To calculate the volume of a rectangular prism we have to use the following formula:
v = volume
w = width = 14.23mm
l = length = 10.08mm
h = height = 3.3mm
v = w * h * l
we replace the values that we know
v = 14.23mm * 10.08mm * 3.3mm
v = 473.347mm³
we add the volumes
v = 117.36mm³ + 473.347mm³
v = 590.707
round to the neares hundredth
v = 590.707 mm³ = 590.71 mm³
The volume of the figure is 590.71 mm³