Your answer should be 3a^2 + 5x + 9
Answer:
36 cubic inches.
Step-by-step explanation:
Let the length, width and height of the rectangular prism are a, b, c respectively.
So, surface area, 2(ab + bc + ca) = 32 {Given} ............ (1)
Volume, abc = 12 {Given} ............ (2)
And, the sum of all the edges, 4(a + b + c) = 28 {Given} .......... (3)
Now, if the length width and height are increased by 1 inch, then the volume of the prism will be = (a + 1)(b + 1)(c + 1)
= abc + (ab + bc + ca) + (a + b + c) + 1
= 12 + 16 + 7 + 1 {From equations (1), (2) and (3)}
= 36 cubic inches. (Answer)
Answer:
Option E is correct.
The expected number of meals expected to be served on Wednesday in week 5 = 74.2
Step-by-step Explanation:
We will use the data from the four weeks to obtain the fraction of total days that number of meals served at lunch on a Wednesday take and then subsequently check the expected number of meals served at lunch the next Wednesday.
Week
Day 1 2 3 4 | Total
Sunday 40 35 39 43 | 157
Monday 54 55 51 59 | 219
Tuesday 61 60 65 64 | 250
Wednesday 72 77 78 69 | 296
Thursday 89 80 81 79 | 329
Friday 91 90 99 95 | 375
Saturday 80 82 81 83 | 326
Total number of meals served at lunch over the 4 weeks = (157+219+250+296+329+375+326) = 1952
Total number of meals served at lunch on Wednesdays over the 4 weeks = 296
Fraction of total number of meals served at lunch over four weeks that were served on Wednesdays = (296/1952) = 0.1516393443
Total number of meals expected to be served in week 5 = 490
Number of meals expected to be served on Wednesday in week 5 = 0.1516393443 × 490 = 74.3
Checking the options,
74.3 ≈ 74.2
Hence, the expected number of meals expected to be served on Wednesday in week 5 = 74.2
Hope this Helps!!!
Answer:
5.)C 6.)A 7.)D 8.)D 9.)A 10.)B
Step-by-step explanation:
Answer:
<h3>consistent independent</h3>
<h2>Explanation:-</h2><h3>The system of linear equations {3x−y=2y=3x+2 describes
<em><u>consistent </u></em><em><u>independent </u></em><em><u>.</u></em></h3>
<h3>Hope it is helpful to you </h3><h3>stay safe healthy and happy ☺️</h3>
