B because it’s the only answer that gives you 528 when you times it (12x44=528) also 12 divided by 3 and 44 divided by 11 both give you 4
Answer:
V = 43323 mm³
(second answer is already correct)
Step-by-step explanation:
these pennies make up the shape of a cylinder, so, we can solve this question by solving for the volume of a cylinder.
the volume of a cylinder can be found with the formula:
V = πr²h
(V = volume ; π = pi ; r = radius ; h = height)
We know the diameter of this cylinder is 19.05 mm. Diameter is two times the length of the radius, (diameter is all the way across, radius is from center to outer / halfway across) meaning that we can find the radius by dividing 19.05 by 2.
diameter = 19.05
radius = 19.05 / 2 = 9.525
so, r = 9.525
we also are given the height of this cylinder, 38 mm
so, h = 38
π = 3.14159 (π is a constant)
plugging our measurements into the volume formula:
V = πr²h
V = (3.14159)(9.525²)(38)
V = (3.14159)(362.9025)(38)
V = 43323.4894628
[rounded to V = 43323 mm³]
And yes, the volume is not affected by a change in shape. (you are correct)
hope this helps!!
Answer:
d. -38
Step-by-step explanation:
Arithmetic sequence concepts:
The general rule of an arithmetic sequence is as follows:
In which d is the common diference between each term.
We can expand the general equation to find the nth term from the first, by the following equation:
In this question:
17th term:
So the correct answer is:
d. -38
Answer:
See attached
Step-by-step explanation:
For each increase of 1 in the index, the function value doubles. The size of the function value rapidly exceeds the limit of any linear grid.
We've shown a few points plotted. Perhaps it will give you the idea of what you need to do.
The area of the resulting figure will be given by:
∫f(x)dx
f(x)=13/2x^3
thus
∫f(x)dx=13/2∫x³dx=13/8[x^4]
integrating over the inerval
13/8(12^4)-13/8(5^4)
=32680+3/8 sq. units
=
