Answer:
y=1/2x+3/2
Step-by-step explanation:
use the slope formula m=y2-y1/x2-x1 and get the slope. then plug in one set of points for y and x for (b)
A^2 + b^2 = c^2
7^2 + 4^2 = 65
square root of 65 is 8.06
answer: 8.06
Answer:
To answer this item, we add up all the scores and divide the sum by the total number of quizzes.
0: 0 quizzes
1 : 1 quiz total : 1
2: 3 quizzes total : 6
3: 4 quizzes total : 12
4: 4 quizzes total : 16
5: 1 quiz total : 1
There are 13 quizzes and the total score is 36. Dividing the total score by the total number of quizzes will give us a final answer of 2.77.
Step-by-step explanation:
The numbers of chairs and tables that should be produced each week in order to maximize the company's profit is 15 chairs and 18 tables.
Since a furniture company has 480 board ft of teak wood and can sustain up to 450 hours of labor each week, and each chair produced requires 8 ft of wood and 12 hours of labor, and each table requires 20 ft of wood and 15 hours of labor, to determine, if a chair yields a profit of $ 65 and a table yields a profit of $ 90, what are the numbers of chairs and tables that should be produced each week in order to maximize the company's profit, the following calculation should be done:
- 16 chairs; 24 tables
- Time used = 16 x 12 + 24 x 15 = 192 + 360 = 552
- Wood used = 16 x 8 + 24 x 20 = 128 + 480 = 608
- 15 chairs; 18 tables
- Time used = 15 x 12 + 18 x 15 = 180 + 270 = 450
- Wood used = 15 x 8 + 18 x 20 = 120 + 360 = 480
- 12 chairs; 28 tables
- Time used = 12 x 12 + 28 x 15 = 144 + 420 = 564
- Wood used = 12 x 8 + 28 x 20 = 96 + 540 = 636
- 18 chairs; 20 tables
- Time used = 18 x 12 + 20 x 15 = 216 + 300 = 516
- Wood used = 18 x 8 + 20 x 20 = 144 + 400 = 544
Therefore, the only option that meets the requirements of time and wood used is that of 15 chairs and 18 tables, whose economic benefit will be the following:
- 15 x 65 + 18 x 90 = X
- 975 + 1,620 = X
- 2,595 = X
Therefore, the numbers of chairs and tables that should be produced each week in order to maximize the company's profit is 15 chairs and 18 tables.
Learn more in brainly.com/question/14728529
