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leva [86]
2 years ago
6

The volume of a rectangular prism is given by the expression 2x^4+2x^3-4x^2-4x. Write the volume as the product its dimensions.

Remember, V = lwh.
Mathematics
1 answer:
telo118 [61]2 years ago
7 0
<h3>Answer:  2x(x^2-2)(x+1)</h3>

=========================================================

Explanation:

First factor out the GCF 2x

2x^4+2x^3-4x^2-4x

2x*x^3+2x*x^2-2x*2x-2x*2

2x(x^3 + x^2 - 2x - 2)

Then let's factor the expression inside the parenthesis using the factor by grouping method

x^3 + x^2 - 2x - 2

(x^3 + x^2) + (- 2x - 2)

x^2(x + 1) - 2(x + 1)

(x^2 - 2)(x+1)

We see that x^3 + x^2 - 2x - 2 factors to (x^2-2)(x+1)

Overall, the original expression fully factors to 2x(x^2-2)(x+1)

length = 2x

width = x^2-2

height = x+1

The order of length, width, and height doesn't matter.

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Solve 2(a +8) &gt; 18<br> ο Α. α&gt;1<br> o ca &gt; 13<br> O Ba&gt;5<br> OD. a &gt; 15
zubka84 [21]

Answer:

A) a>1

Step-by-step explanation:

2(a +8) >18

2a +16 >18

2a>18 - 16

2a>2

a>2:2

a>1

6 0
3 years ago
If 1/8(8x+15)24, what is the value of x?
Lelechka [254]

Answer:

x=22.125  or  x=\frac{177}{8}

Step-by-step explanation:

<u><em>The correct equation is</em></u>

1/8(8x+15)=24

solve for x

Multiply by 8 both sides to remove the fraction

(8x+15)=192

subtract 15 both sides

8x=192-15\\8x=177

divide by 8 both sides

x=\frac{177}{8}

x=22.125

3 0
3 years ago
An ABC News poll asked adults whether they felt genetically modified food was safe to eat. 35% felt it was safe, 52% felt it was
Masteriza [31]

Answer:

The proportions differ from those reported in the survey.

Step-by-step explanation:

The Chi-square goodness of fit test would be used to determine whether the proportions differ from those reported in the survey.

The hypothesis for the test can be defined as follows:

<em>H</em>₀: The proportions does not differ from those reported in the survey.

<em>Hₐ</em>: The proportions differ from those reported in the survey.

Assume that the significance level of the test is, α = 0.01.

The Chi-square test statistic is given by:

\chi^{2}=\sum\limits^{n}_{i=1}{\frac{(O_{i}-E_{i})^{2}}{E_{i}}}

Consider the Excel sheet provided.

The Chi-square test statistic value is 191.32.

The <em>p</em>-value of the test is:

p-value=P(\chi^{2}_{(n-1)}>191.32)\\\\=\text{CHISQ.DIST.RT}(191.32,2)\\\\=0.0000

The <em>p</em>-value of the test is very small. The null hypothesis will be rejected at 1% level of significance.

Thus, concluding that the proportions differ from those reported in the survey.

5 0
3 years ago
There are 520 marbles in a jar. The ratio of red to yellow marbles is 3:4 and the ratio of yellow to blue marbles is 2:3. What i
frutty [35]

Answer:

Step-by-step explanation:

Change the 2/3 to 4/6

Now the ratio becomes 3:4:6

So the number of each is

3x + 4x + 6x = 520

13x = 520

x = 40

Red = 3*40 =      120

Yellow = 4*40 = 160

Blue = 6 * 40  = 240

Total =               520

7 0
3 years ago
Find the area of the figure.
andrezito [222]

Answer:

area of figure = area of rectangle + area of triangle

area of rectangle= length × width

6×4

24yd²

area of triangle= 1/2×base×height

1/2×3×4

3×2

=6yd²

area of figure= 24+6

= 30yd²

7 0
3 years ago
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