PLEASE HELP ME!!!! 50 POINTS + BRAINLYEST!!!!!

Mathematics

1 answer:

Nuetrik [128]2 years ago

3 0

Answer:

The rate of change of function A is greater than the rate of change of function B.

Step-by-step explanation:

Im pretty sure its right

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What is the volume of the composite figure? Use 3.14 for π and round the answer to the nearest tenth of a cubic unit.

Bumek [7]

To find volume of a cylinder, you must find the area of the base and multiply it by the height of the object.

V=Bh where B=area of the base. Since the base is a circle, we must find area of the circle. A=pi(r^2)
A=3.14(6^2) Since it gave us the diameter, we take half for radius. Solve A=3.14(36)
A= 113.04 square cm

Now to find volume.
V=113.04•11
V=1243.44 cubic cm

Now find volume of the cone on top.

V=1/3Bh again with B= area of the base (pi)(r^2)
Since the two objects share a base, we can use the area of the cylinder as above.
V=1/3(113.04)9
We have to do a little simple math to determine the height of just the cone. Total height is 20-11 height of the cylinder. The difference is 9.
V=1/3(113.04)9 multiply
V=339.12 cubic cm

Now add the two volumes together to find total volume.
Total V=1243.44+339.12
V=1582.56 cubic cm

3 0

3 years ago

Read 2 more answers

How do i do this?? any answers pls

bazaltina [42]

Step-by-step explanation:

In the given problem, there are two plans that can be represented with a linear function.

A = total monthly cost of Plan A for every <em>x </em>number of movies that Sadie watches per month

Slope: $3 = The additional cost for every x number of movies watched per month

Y-intercept: $21 = The monthly cost of Plan A

Combining these elements together, we can establish the following linear function: A(x) = 3x + 21

B = total monthly cost of Plan B for every <em>x </em>number of movies that Sadie watches per month

Slope: $1.50 = The additional cost for every x number of movies watched per month

Y-intercept: $27 = The monthly cost of Plan B

Combining these elements together, we can establish the following linear function: B(x) = 1.5x + 27 or $\displaystyle\mathsf{B(x)\:=\:\frac{3}{2}x\:+\:27}$ .

<h2>Graphing:</h2><h3><u>Plan A:</u></h3>

In order to graph Plan A, start with plotting the y-intercept, (0, 21). The <u>y-intercept</u> is the point on the graph where it crosses the y-axis. Then, use the slope, m = 3 (rise 3, run 1), to plot the other points on the graph.

Similarly for Plan B, start with plotting the y-intercept, (0, 27).

Then, use the $\displaystyle\mathsf{slope (m)\:=\:1.5\:or\:\frac{3}{2}}$ (rise 3, run 2), to plot the other points on the graph.

Attached is the graphed linear functions, A(x) and B(x). The two lines intersect at point, (4, 33), which means that the total cost of Plans A and B will be the same at $33.

<h3><u>Interval of movies watched</u>: </h3>

The attached graph also shows that when 0 ≤ <em>x</em> < 4, Plan A is <em><u>cheaper</u></em> than Plan B. The interval notation is: [0, 4).

This implies that when Sadie watches 0 - 4 movies per month, she will pay lesser in Plan A than Plan B.