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nexus9112 [7]
2 years ago
10

The volume (in cubic meters), vvv, of a rectangular prism is given by the expression: v = a^4-2a^2b^2+b^4v=a 4 −2a 2 b 2 +b 4 v,

equals, a, start superscript, 4, end superscript, minus, 2, a, start superscript, 2, end superscript, b, start superscript, 2, end superscript, plus, b, start superscript, 4, end superscript where aaa and bbb are positive integers and a>ba>ba, is greater than,
b. pick three expressions that can represent the three unique dimensions of the prism (each in meters). choose all answers that apply: choose all answers that apply:
Mathematics
1 answer:
zhannawk [14.2K]2 years ago
6 0

Answer:

{a}^{2}  -  {b}^{2}

a - b

a + b

Step-by-step explanation:

The given expression that represents the volume of the rectangular prism is:

v =  {a}^{4}  - 2 {a}^{2}  {b}^{2}  +  {b}^{4}

We can rewrite this to reveal a perfect square pattern.

v =(  { {a}^{2}) }^{2}  - 2 {a}^{2}  {b}^{2}  + ( {b}^{2})^{2}

We factor using perfect squares to obtain:

v = ( {a}^{2}  -  {b}^{2} )^{2}

v = ( {a}^{2}  -  {b}^{2} )( {a}^{2}  -  {b}^{2} )

Volume is three dimensional so we need a third factor different from 1.

We further factor one of the difference of two squares to get:

v = ( {a}^{2}  -  {b}^{2})(a - b)(a + b)

So pick the following unique dimensions from the possible answers:

{a}^{2}  -  {b}^{2}

a - b

a + b

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Answer:

170 heart beat per minute.

Step-by-step explanation:

While exercising, a person’s recommended target heart rate is a function of age. The recommended number of beats per minute, y, is given by the function y = f(x) = − 0.85x + 187 where x represents a person’s age in years.

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Carla and rob left a 20% tip after having lunch at a restaurant the amount of the tip was $6 Carla's lunch cost $15 which equati
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A city police officer using radar checked the speed of 26 cars as they were travelling down a city street and the data is given
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<u>Explanation: </u>

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For positively skewed distribution, Mean > Median>Mode

For negatively skewed distribution, Mean < Median

The mean of the given data set is given below:

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Now, the Median is:

To find the median we need to sort the data in ascending order as:

20,21,22,22,23,23,23,23,24,25,25,25,26,27,27,28,29,29,30,31,33,34,38,43,48,54

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Answer:

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Step-by-step explanation:

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