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harina [27]
3 years ago
6

A manufacturer of shipping boxes has a box shaped like a cube. The side length is (5a + 4b). What is the volume of the box in te

rms of a and b? Show your work.
Mathematics
1 answer:
rodikova [14]3 years ago
7 0
<span>Volume of a square = (s)(s)(s) and s=5a+4b Therefore: (5a+4b)(5a+4b)(5a+4b)= (25a^2+40ab+16b^2)(5a+4b)= (125a^3+200a^2b+80ab^2+100a^2b+160ab^2+64b^3)= (125a^3+300a^2b+240ab^2+64b^3) You just multiple the first time the second and then do so again with the combination of the first two times the second. A little cleaning up and you are left with an equation in terms of a and b.</span>
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Question 3 of 10
katovenus [111]

Answer:

No solution

Step-by-step explanation:

Not sure tbh

8 0
4 years ago
Find the value of r so the line that passes through the pair of points has the given slope. (3, 5), (−3, r), m=34
frez [133]

The value (y2) of r = 1/2.

This question relates to equation of a straight line but we are looking for the slope in this case.

<h3>Slope</h3>

This is the ratio to which we measure the change along the y-axis to the change along the x-axis. The formula is given as

m = \frac{y_2 - y_1}{x_2 - x_1}

Data given;

  • x1  = 3
  • x2 = -3
  • y1 = 5
  • y2 = r
  • m = 34 or 3/4

Substitute the values into the equation and solve for the unknown

NB; we are assuming that the slope here is 34 and not 3/4.

m = \frac{y_2 - y_1}{x_2 - x_1} \\34 = \frac{r - 5}{-3 - 3}\\34 = \frac{r - 5}{-6}\\

cross multiply both sides and make r the subject of formula

34 * -6 = r - 5\\-204 = r - 5\\r = -204+5\\r = -199

the value of r = -199.

This is not mathematically obtainable and we would use 3/4 as the value of slope

\frac{3}{4}= \frac{r - 5}{-3 - 3}\\\frac{3}{4}=\frac{r - 5}{-6}\\4(r-5) = 3 * -6\\4r- 20 = -18\\4r = -18 +20\\4r = 2\\r = \frac{1}{2}

The most logical value of r = 1/2

Learn more on slope here;

brainly.com/question/4074386

7 0
3 years ago
The upcoming championship high school football game is a big deal in your little town. The problem is, it is being played in the
babunello [35]

Answer:

(3.2189, 4.4811)

Step-by-step explanation:

Given that you conduct simple random sampling of 20 students in a school with a population of 300 students to determine how many students are in each ride-share (carpool) on the way to school every day to get a good idea of who would use the app.

The following data are collected:

6 5 5 5 3 2 3 6 2 2   5 4 3 3 4 2 5 3 4 5

We find from the data the following summary

 

Mean 3.85

Standard Error 0.30153118

Median 4

Mode 5

Standard Deviation 1.348488433

Sample Variance 1.818421053

Kurtosis -1.29567952

Skewness 0.014666866

Range 4

Minimum 2

Maximum 6

Sum 77

Count 20

Confidence Level(95.0%) 0.631112012

Margin of error = 0.6311

Hence confidence interval would be (Mean - margin of error, mean + margin of error)

= (3.85-0.6311, 3.85+0.6311)\\= (3.2189, 4.4811)

3 0
4 years ago
HELPPPPP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
Elden [556K]

Answer:

7. <35

8.<5

9.>50

Step-by-step explanation:

simple mathematics

6 0
3 years ago
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Help me or ill fail plz
hoa [83]

Answer:

1,108 in²

Step-by-step explanation:

SA = (12×20) + (2×20×5 + 2×12×5) + (2×½×12×9)

+ (2×20×11)

= 240+320+108+440

= 1,108 in²

3 0
3 years ago
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