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vekshin1
3 years ago
6

The equation y = kx represents a proportional relationship between x and y, where k is the constant of proportionality. For a mo

ving object, the equation d = st represents a proportional relationship between distance (d) and speed (s) or between distance (d) and time (t). Explain the different ways that you can define the constant of proportionality for this equation. Then describe some other equations that represent proportional relationships in the real world and explain why they’re useful. Research on the Internet, if needed.
Mathematics
1 answer:
valentinak56 [21]3 years ago
3 0

Answer:

Step-by-step explanation:

y = kx represents a proportional relationship between x and y

where,

k is the constant of proportionality

Given:

d = st

Where,

d = distance

s = speed

t = time

The constant of proportionality of the quantities d, s and t is speed(s)

Speed(s) remains constant at a given time and distance

The equation can be written in different forms below:

d = st

S = d/t

t = d/s

Real world example of proportional relationships

• F=ma

Where,

F=Force

m=mass

a=acceleration

F=ma is used to calculate force

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vodka [1.7K]

Answer:

a) 0.50575,

b) 0.042

Step-by-step explanation:

Example 1.5. A person goes shopping 3 times. The probability of buying a good product for the first time is 0.7.

If the first time you can buy good products, the next time you can buy good products is 0.85;  (I interpret this as, if you buy a good product, then the next time you buy a good product is 0.85).

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b) Only the second time that person buys a bad product.

P(Good on 1st shopping event AND Bad on 2nd shopping event AND Good on 3rd shopping event) =

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3 years ago
Please help. 50 points + brainliest
Korvikt [17]

Answer:

1. (a-c)\sqrt{x} + b\sqrt{y}

2. 9m + 2\sqrt{n}

3. 6a

4. (5a - 3b)\sqrt{5y}

Step-by-step explanation:

1. since a and c share the same squareroot x, you can combine these together.

2. First add like terms together. 4m - m + 6m = 9m. Then 5\sqrt{n} and -3\sqrt{n} combined equals 2\sqrt{n}

3. First simplify the square roots. squareroot of 16 is 4. square root of 49 is 7. square root of 81 is 9. They are all multiplied by a in the expression. Thus 4a - 7a + 9a = 6a

4. First simplify the radicals, they are not perfect. square root of 125 is equivalent to sqrt(25 * 5), which sqrt of 25 is 5, but we keep the sqrt of 5. For sqrt of 45, it is the same as sqrt9 * sqrt5. sqrt of 9 is the same as 3 and we keep sqrt 5. Thus we get the below:

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