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Answers

Answer 1
Answer: Hello,

Using vectors and scalar product:

[(a+c)*\vec{i}+(b-0)*\vec{j} ].[(a-c)*\vec{i}+(b-0)*\vec{j}]=0
Thus
(b^2)/((a+c)(a-c))=1

By the way how can we make text larger in latex \larger{.....} don't work.

Answer A





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Please answer question with explanation
A worker earns 6.25 per hour for how many hours would the worker have to work to earn 400
Brooke has set up 70 chairs in equal rows for the class talent show.But,there is not room for more than 20 rows. What are the possible number of rows that brooke could set up?

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Answers

Answer:

343.97

Step-by-step explanation:

The first one is 343.97. You times 324.5 with 6% also known as 0.006 which is 19.47.

Add 19.47 to 324.5 and you get 343.97

Perdita goes to the fruit market with $9 to buy avocadoes. Each avocado costs $2. Write and solve an inequality to find the greatest number of avocadoes Perdita can buy

Answers

let x= number of avocadoes she can buy
let y= total cost

y= 2x 

9= 2x     9/2= 4.5
4.5= x
(you cannot cut the avocado in half therefore your answer is simply 4)

The correlation coefficient between two variables is 0.9. how do you describe this value?

Answers

A correlation coefficient of 0.9 shows a strong, almost perfect correlation between the two variables. A positive correlation implies that when one variable increases, the other variable increases together with it. When one variable decreases, the other variable decreases as well. 

A company manufactures and sells novelty mugs. The manufacturing costs consists of a fixed cost of R8000 AND A VARIABLE COST OF R15.00 per mug. The mugs are sold at R35 each. Assume a linear profit function.1. Determine the profit function.
2. What is the break-even level.
3. Draw a graph depicting a profit function.

Answers

Given:
Manufacturing cost : fixed cost = 8,000 ; variable cost = 15 per mug
Selling Price: 35 per mug

Let x be the number of mugs.

Sales Revenue = 35x
Manufacturing Cost = 8,000 + 15x

Profit = Sales Revenue - Manufacturing Cost
P = 35x - 8,000 - 15x
P = 20x - 8,000

Break even level: Profit is 0
Sales Revenue = Manufacturing cost
35x = 8,000 + 15x
35x - 15x = 8000
20x = 8000
x = 8000/20
x = 400

Company must produce at least 400 mugs to break even or have 0 profit. Quantity greater than 400 will result to a profit while quantity lesser than 400 will result to a loss.

This system has one solution. What is the y-coordinate of the solution? y = 5x - 9
y = x^2 - 3x + 7

Answers

set 5x-9 = x^(2) - 3x + 7
⇒ 0 = x^(2) - 8x + 16
⇒ factoring we get... 0 = (x-4)² so the x-coordinate for the solution is x = 4
To find the y-coordinate, plug x = 4 into one of the equations (you can plug it into both just to make sure you're right).
y = 5x - 9 plug in x = 4 ⇒ y = 5(4) - 9 = 20 - 9 = 11
y = x^(2) - 3x + 7 plug in x = 4 ⇒ y = (4)² - 3(4) + 7 = 16 - 12 + 7 = 11
∴ The solution to the system is (4, 11) which has y-coordinate 11.

Celia and Ryan are starting a nutrition program. Celia currently consume 1200 calories a day and will increase that number by 100 calories each day. Ryan currently consumes 3230 calories each day and will decrease that number by 190 each day. they will continue this pattern until they are both consuming the same number of calories per day. in how many days will that be.

Answers

In 8 days they both will be concuming the same amount of calories
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