Answer:
<h2> 3p</h2>
Step-by-step explanation:
4p - p = 4p - 1p = (4 - 1)p = 3p
The expression that represents the volume of the rectangular prism, in terms of the width w, is given as follows:
6w³ cubic units.
<h3>How to obtain the volume of a rectangular prism?</h3>
A rectangular prism is composed by three dimensions, given as follows:
The volume of the rectangular prism is given by the multiplication of these three dimensions, as follows:
V = lwh.
From the image given at the end of the answer, the dimensions of the prism are given as follows:
Hence the expression that gives the volume of the rectangular prism is given as follows:
V = w x 2w x 3w = 6w³ cubic units.
<h3>Missing Information</h3>
The prism is given by the image shown at the end of the answer.
More can be learned about the volume of a rectangular prism at brainly.com/question/22070273
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Answer:
You can determine the root of the equation by multiple methods. However, that answer is correct. The root is -2.
Step-by-step explanation:
A root is where the graph crosses the x-axis. One trick I use to see if it is a root is by taking the numerator and plugging in the number for x. For example,
, and take the -2 and plug it in for x. The numerator would cancel out because -2 + 2 = 0. That is the way you can determine if it is a root or not.
I hope this helps, if you need any clarification let me know :)
Answer:
B
Step-by-step explanation:
First find the circumference of the circle with radius of 9 inches:

The full angle has 360°, so, to find the length of the arc DE, you can write:

which yields a proportion:

There are 109 terms in given series.
According to the statement
we have given that the sum of series is AP series and
This is 19 20.5 22 23.5 ... 181
And the sum of series is 10,900
Now, we have to find the number of terms in the series.
Then we use the summation formula which is
S = n/2 (a + L)
Substitute the all given values in it like
L = 181
A = 19 and S= 10,900
then
10,900= n/2(19+181)
10,900= n/2(200)
After solve the equation for n
10,900= 100n
n = 10,900 / 100
n = 109
There are 109 terms in given series.
So, There are 109 terms in given series.
Learn more about SERIES here brainly.com/question/6561461
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