How do you find the constant of proportionality

1 answer:

4 0

The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate. The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.

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Beth writes a number that shows 60 parts out of 100

Lerok [7]

Decimal 0.60
Percentage 60%

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3 years ago

What is the slope of the following linear equation y + 2x = 5 ?

Arte-miy333 [17]

Answer:

slope = -2

Step-by-step explanation:

The general structure of an equation in slope-intercept form is:

y = mx + b

In this form, "m" represents the slope and "b" represents the y-intercept. Since the given equation is not in the exact slope-intercept form, we need to rearrange it to identify the slope.

y + 2x = 5 <----- Given equation

y = -2x + 5 <----- Subtract 2x from both sides

Now, we can see that in the "m" position, there is a value of -2. This makes the slope = -2.

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2 years ago

Assume there are 365 days in a year.

Dahasolnce [82]

The chance of student 1's birthday being individual is 365/365 or 100%.
Then the chance of student 2's birthday being different is 364/365.
Then it's narrowed down to 363/365 for student 3 and so on until you get all 10 students.
If you multiply all these values together, the probability would come out at around 0.88305182223 or 0.88.

To get all the same birthday you'd have to the chance of one birthday, 1/365 and multiply this by itself 10 times. This will produce a very tiny number. In standard form this would be 2.3827x10'-26 or in normal terms: 0.23827109210000000000000000, so very small.

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3 years ago

1.) Find all the factors of 54.

jonny [76]

QUESTION 1.

The factors of 54 are all natural numbers that can divide 54 exactly.

The factors of 54 are: {1,2,3,6,9,18,27,54}

QUESTION 2

The prime factors of 54 are factors of 54 that are prime numbers.

The prime factors of 54 are {2,3}.

Product of prime factors of 54 is $2\times 3^3$