On a coordinate plane, the x-axis is labeled Number of Days and the y-axis is labeled Number of Computers. A line goes through points (3, 36), (4, 48), (5, 60). The graph shows a proportional relationship between the number of computers produced at a factory per day. In three days, 36 computers are produced; 48 computers are produced in 4 days; and 60 computers are produced in 5 days. Find the unit rate of computers per day using the graph. Unit rate: computers per day

Answers

Answer 1

Answer:

The unit rate of computers per day is equal to 12 computers per day.

What is a proportional relationship?

In Mathematics and Geometry, a proportional relationship is a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical equation:

y = kx

Where:

y represents the y-variable or total cost.
x represents the x-variable or number of computers.
k is the constant of proportionality.

Next, we would determine the unit rate or constant of proportionality (k) by using various data points as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = 36/3 = 48/4 = 60/5

Constant of proportionality, k = 12.

Therefore, the required linear equation is given by;

y = kx

y = 12x

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1, 3, 7, 9 whats next ?

Log(5t)(5t + 1) * log(5x+1) (5t + 2) * log(5t+2 )(5t + 3)... log(5t+n)(5t +n +1)

Answers

I assume you're referring to the product,

$\log_(5t)(5t+1)\cdot\log_(5t+1)(5t+2)\cdot\cdots\cdot\log_(5t+n)(5t+n+1)$

Recall the change-of-base identity:

$\log_ab=(\log_cb)/(\log_ca)$

where c > 0 and c ≠ 1. This means the product is equivalent to

$(\log(5t+1))/(\log(5t))\cdot(\log(5t+2))/(\log(5t+1))\cdot\cdots\cdot(\log(5t+n+1))/(\log(5t+n))$

and it telescopes in the sense that the numerator and denominator of any two consecutive terms cancel with one another. The above then simplifies to

$(\log(5t+n+1))/(\log(5t))=\boxed{\log_(5t)(5t+n+1)}$

PLEASE HELP!Suppose there is a strong positive correlation between mand n. Which of the
following must be true?
A. An increase in m causes n to increase.
B. When m increases, n tends to decrease.
C. When m increases, n tends to increase.
D. An increase in m causes n to decrease.

Answers

Answer:

A an increase in m cause n to increase

Step-by-step explanation:

a positive correlation means they will travel in the same direction when one is affected.

Answer:

Option A: An increase in m causes n to increase.

Step-by-step explanation:

A Positive correlation is a relationship between two variables in which both variables move with the same ratio. A positive correlation exists when one variable increases as the other variable increases, or vice-versa.

A perfect positive correlation means that both variables move by the exact same percentage.

Therefore, if there is a strong positive correlation between m and n then V increases and, w tends to increase.

Hope this helped :)

I need to find the Missing angle of this equilateral triangle

Answers

Answer:

x = 120

Step-by-step explanation:

An equilateral triangle has 3 equal angles

The sum of the angles is 180

180/3 = 60

x + 60 = 180 since they form a straight line

x = 180-60

x = 120

Answer:

X...................

Which expression represents the perimeter of thetrapezoid?
5x
2x - 1
2x + 3
6x +4
11x + 4
O 4x + 2
15x + 6
13x + 8

Answers

Final answer:

The correct option is c.

The total length, or perimeter, of the trapezoid is calculated by adding the lengths of its sides. Once we add and simplify the like terms, we find that the expression representing the perimeter of the trapezoid is 15x + 6.

Explanation:

The perimeter of a shape is calculated by adding up the lengths of all its sides. In the case of a trapezoid with sides of length: 5x, 2x - 1, 2x + 3, 6x + 4, the total length, or the perimeter, would be the sum of these four sides.

To calculate the perimeter, we simply add the lengths of the sides: 5x + (2x - 1) + (2x + 3) + (6x + 4).

When we simplify this, we first combine like terms, which are the x's and the constants. Combining the x terms 5x, 2x, 2x, and 6x gives us 15x. Next, we combine the constants -1, 3, and 4 which gives us + 6. Therefore, the expression representing the perimeter of the trapezoid is 15x + 6, that is answer option c.

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The complete question is:

Which expression represents the perimeter of the trapezoid whose length of sides are:

5x, 2x - 1, 2x + 3, 6x +4

a. 11x + 4

b. 4x + 2

c. 15x + 6

d. 13x + 8

Answer: 15x + 6
5x + 2x+3 = 7x+3
6x+4 + 7x+3 = 13x + 7
13x+7 + 2x-1 = 15x+ 6

Gi gi's bakery has total assets of $425 million. its total liabilities are $110 million. its equity is $315 million. calculate the debt ratio.

Answers

the answer:
debt ratio formula can be found with

debt ratio = total liabilities / total assets,
debt ratio= $110 million /$425million = 0.25 = 1/4

Joe work 21 hours on his class project. He worked 3 times as long is Marie did. How long did Marie work on a project? Translate and solve the equation

Answers

the answer is 21 ÷ 3 = 7 hrs

divide 21 by 3 and you will get 7

m=21/3

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