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irga5000 [103]
3 years ago
8

find the volume of a rectangular prism if the length is 3x^2, the width is 2xand the height is x^2+3x+5

Mathematics
1 answer:
nevsk [136]3 years ago
3 0

You are given the length of a rectangular prism of 3x^2, width of 2x and height of x^2 + 3x +5. You are required to find the volume of a rectangular prism. Using the equation V = l x w x h, we multiply the three dimensions.

V = l x w x h

V = (3x^2)(2x)( x^2 + 3x +5)

V = 2x (3x^4 + 9x^3 + 15x^2)

V = 6x^5 + 18x^4 + 30x^3

The volume of the rectangular prism is 6x^5 + 18x^4 + 30x^3.

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39 points!!! answer all questions
Lina20 [59]

Step-by-step explanation:

<h3>a. </h3>

=  {2}^{x}

=  {2}^{3}

= 2 \times 2 \times 2

= 8

<h2>______________</h2>

<h3>B. </h3>

=  {x}^{2}

=  {3}^{2}

= 3 \times 3

= 9

<h2>______________</h2>

<h3>C. </h3>

=  {1}^{x}

=  {1}^{3}

= 1 \times 1 \times 1

= 1

<h2>______________</h2>

<h3>D. </h3>

=  {x}^{1}

=  {3}^{1}

= 3

<h2>______________</h2>

<h3>E. </h3>

= {( \frac{1}{2}) }^{x}

= {( \frac{1}{2}) }^{3}

=  \frac{ {1}^{3} }{ {2}^{3} }

=  \frac{1}{8}

8 0
3 years ago
Which container holds more a half gallon milk truck or two-liter juice bottle showing 1
malfutka [58]
<span>1 gallon is equal to 3.78541 liters. Therefore, a half gallon would be equal to about  1.89271 liters. Thus, a 2 liter bottle holds more. </span>
6 0
3 years ago
Nadia's class took a math test. The median score on the test was 72% and the mean of the test scores was 72%.
g100num [7]

Answer:

C, or "The data is symmetrically"

Step-by-step explanation:

This is because when having both the median and the mean the same, this means their is a perfectly symmetrical distribution of data. Making both the mean and median the same.

7 0
3 years ago
What is the sum of 1 2/8 + 2 5/8
SVEN [57.7K]
Hey there!

1 + 2 = 3

2/8 + 5/8 . . .

= 7/8 (denominator stays the same)

3 + 7/8 = 3 7/8

The sum of the numbers 1 2/8 and 2 5/8 is 3 7/8.

1 2/8 + 2 5/8 = 3 7/8.

Hope this helps you.
Have a great day!
3 0
3 years ago
Find all values of thetaθ​, if thetaθ is in the interval ​[0degrees°​, 360degrees°​) and has the given function value cot thetaθ
Kobotan [32]
In the first quadrant, 0-90 degrees, the angle whose cotangent  is is 45 degrees.  The only other quadrant where cot theta is 1 is 3rd quadrant.

The 2 angles are 45 and 180+45  = 225 degrees

Answer 45 , 225 degrees.
3 0
3 years ago
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