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Elza [17]
3 years ago
9

Does anyone know how to find this I'm studying and me and my family don't understand! I only need help on #17

Mathematics
2 answers:
Svetllana [295]3 years ago
8 0

Answer:

  • length: 2 cubes
  • width: 1 cube
  • height: 2 cubes
  • volume: 4 cubes

Step-by-step explanation:

We assume in this context that a "1/4 unit cube" is a cube that is 1/4 unit on a side. When the "unit" is "inches", then the "1/4 unit cube" is a cube that is 1/4 inch on a side.

It should not take too much thought to realize that a dimension that is 1/2 = 2/4 inches will be 2 cubes long. A dimension that is 1/4 inch will be 1 cube long.

Then the 1/2 by 1/2 by 1/4 prism will have dimensions in "cubes" of ...

  2 cubes × 2 cubes × 1 cube

As with any rectangular prism volume calculation, the volume is the product of the dimensions:

  V = LWH = (2)(1)(2) = 4 . . . cubes

_____

For this prism, it should not be too difficult to see that if you stack 2 smaller cubes on top of two smaller cubes, the overall dimensions of that will be 1/2 inch wide by 1/2 inch high by 1/4 inch deep.

_____

<em>Additional comment</em>

Which dimensions you call length, width, and height are irrelevant, as each is interchangeable with any other in the formula for volume. Here, I have elected to call height the vertical dimension, length the left-right horizontal dimension, and width the front-back dimension. You are welcome to choose an assignment of names to dimensions that suits your taste (or that of your grader).

avanturin [10]3 years ago
5 0

Answer:

<u>4</u>

Step-by-step explanation:

Hi so basically you just convert the inches to decimals so

0.5 x 0.5 x 0.25 = 0.0625

Use a calculator to convert 0.0625 into fraction which is \frac{1}{16}

Multiply \frac{1}{4} by 3 = \frac{1}{64}

Then multiply \frac{1}{16} by \frac{1}{64} = 4

Soo that was probably very confusing, but I hope it helps! :)

Plz click the Thanks button, I rrly appreciate it!

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The table below shows the heights of 6 pairs of brothers and sisters, ​labeled A through F .
scoray [572]

Answer:

The difference is <em>2 inches</em>

Step-by-step explanation:

Firstly, we identify the equation as given in the question;

y = 1.42105x - 32.2632

We need to know which of the two is the dependent variable i.e y-value and which is the independent variable x-value between the brothers' heights and the sisters' heights. To do this, we have to start with an assumption and check which of the two is for the brothers' or for the sisters,

Let's say the brothers' heights is x, we select any of the data points; (68,64)

we input this into the line of best fit equation; 64 =1.42105(68) - 32.2632 = 96.6314-32.2632=  64.3682

We can see the value on the left hand side of the equation correlates with that on the right hand side. This confirms our assumption that the brothers' heights refer to the independent variable x.

Now, let's plug the values for the 71 inches heights

y = 1.42105(71) - 32.2632 = 68.63 approximately 64

In the table, we can see that the predict sister height at that particular data point is 71 inches. The difference between the predicted height and the actual height is thus 71-69 = 2 inches  

4 0
3 years ago
What is the answer and how do you solve <br><br><br> 21x^3/3x^−1
Sunny_sXe [5.5K]

Answer:

  as written: 7x^2

  perhaps intended: 7x^4

Step-by-step explanation:

As written, the Order of Operations specifies that the only denominator factor is 3, so the expression is interpreted as ...

  \dfrac{21x^3}{3}x^{-1}=\dfrac{21}{3}x^{3-1}=7x^2

___

Sometimes grouping of denominator factors is intended, but parentheses are not written as they should be. If the intention is ...

  21x^3/(3x^-1)

then the simplification is ...

  \dfrac{21x^3}{3x^{-1}}=\dfrac{21}{3}x^{3-(-1)}=7x^4

_____

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  a^b/a^c = a^(b-c)

6 0
3 years ago
A 100 pound person on Earth would weigh about 4x4x4x4 pounds on Jupiter. Evaluate the expression to determine how much a 100 pou
e-lub [12.9K]
256 pounds on Jupiter
7 0
3 years ago
Read 2 more answers
Given directed line segment PR, find the coordinates of Q on PR such that the ratio of PQ to QR is 2:1.
Alekssandra [29.7K]

Answer:

4/3, -3

Step-by-step explanation:

4 0
2 years ago
What is the value of x? 6x−2(x 4)=12
jonny [76]

Observation : No two such factors can be found !! 
Conclusion : Trinomial can not be factored

<span>Equation at the end of step  2  :</span>  6x2 - x - 4 = 0 <span>((2•3x2) - x) - 4 = 0 </span><span>Step  2  :</span>Trying to factor by splitting the middle term

<span> 2.1 </span>    Factoring <span> 6x2-x-4</span> 

The first term is, <span> <span>6x2</span> </span> its coefficient is <span> 6 </span>.
The middle term is, <span> -x </span> its coefficient is <span> -1 </span>.
The last term, "the constant", is <span> -4 </span>

Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 6</span> • -4 = -24</span> 

Step-2 : Find two factors of  -24  whose sum equals the coefficient of the middle term, which is  <span> -1 </span>.

<span><span>     -24   +   1   =   -23</span><span>     -12   +   2   =   -10</span><span>     -8   +   3   =   -5</span><span>     -6   +   4   =   -2</span><span>     -4   +   6   =   2</span><span>     -3   +   8   =   5</span><span>     -2   +   12   =   10</span><span>     -1   +   24   =   23
</span></span>

Observation : No two such factors can be found !! 
Conclusion : Trinomial can not be factored

<span>Equation at the end of step  2  :</span><span> 6x2 - x - 4 = 0 </span>

3 0
3 years ago
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