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WITCHER [35]
3 years ago
6

The volume of a square prism is 144x^3 +216x^2 +81x

Mathematics
1 answer:
Svetach [21]3 years ago
6 0

Answer:

Equation for the perimeter of prism's square face: 16x + 12

Step-by-step explanation:

Volume of Square prism = Length * Width * Height

                                         = 144 x^3 + 216 x^2 +81 x

taking 9x common = 9x( 16 x^2 + 24 x + 9)

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

                                = 9x ( 4x+3)^2

so the length is 9x, width is 4x+3 and height is 4x+3

Now, Perimeter of prism's square face = 2* Width + 2 * Height

                                                                = 2* (4x+3) + 2* (4x+3)

                                                                = 8x +6 + 8x + 6

                                                                = 16x +12

                   

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How many times greater is<br> 3.8 x 105<br> than<br> 1.9 X 1022<br> 2<br> 20<br> 200<br> 2000
PilotLPTM [1.2K]

Step-by-step explanation:

there must be something wrong with your text.

what we can see is

3.8 × 105

and

1.9 × 1022

the true answer for these values has nothing to do with the 4 answer options.

maybe you meant

1.9 × 10.5 ?

because that answer would be 20.

but first working with the presented numbers :

3.8 × 105 = 399

1.9 × 1022 = 1941.8

so, the second number is actually much bigger than the first number.

but if it is

1.9 × 10.5 = 19.95

that works.

and we can either use the calculator to calculate

399 / 19.95 = 20

or we can simply look at the factor changes of the multiplication terms.

3.8 = 1.9 × 2

105 = 10.5 × 10

so, the multiplication product of the two larger numbers is then 2×10=20 times larger than the product of the 2 smaller numbers.

7 0
3 years ago
Which of the following represents the equation of a line that is parallel to 2y-x=16 and passes through the
Sliva [168]
The correct equation would be Y=1/2x+4 :)

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5 0
2 years ago
Are these ratios equivalent?
Alexxx [7]

Answer:

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Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
PLEASE ANSWER WILL GIVE 75 POINTS!!!!!
alexdok [17]

Answer:

\frac{4}{33} and \frac{1}{27}

Step-by-step explanation:

We require 2 equations with the repeating numbers placed after the decimal point.

let x = 0.1212...... (1) ← multiply both sides by 10

100x = 12.1212.... (2)

subtract (1) from (2) thus eliminating the repeating numbers

99x = 12 ( divide both sides by 99 )

x = \frac{12}{99} = \frac{4}{33} ← in simplest form

-------------------------------------------------------

let x = 0.037037....... (1) ← multiply both sides by 1000

1000x = 37.037037..... (2)

subtract (1) from (2) to eliminate the repeating numbers

999x = 37 ( divide both sides by 999 )

x = \frac{37}{999} = \frac{1}{27} ← in simplest form

8 0
3 years ago
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PilotLPTM [1.2K]
The car gets 34 miles per gallon (476/14 = 34)
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