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Elena L [17]
3 years ago
9

Rate of Change- A scuba diver is 30 feet below the surface of the water 10 seconds after he entered the water and 100 feet below

the surface after 40 seconds. What is the scuba divers rate of change? Can you tell me how to work this out, I don't want a plain answer because I would like to do this on my own. Thanks :)
Mathematics
1 answer:
nirvana33 [79]3 years ago
3 0
We can create two points.

30 feet below the surface of the water 10 seconds after he entered the water
100 feet below the surface after 40 seconds

So we have (10, 30) and (40, 100)

Plug this values into the slope formula:

m = y2-y1/x2-x1

m = (100 - 30)/(40 - 10)

m = 70/30

m = 2 1/3
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Find 3 consecutive numbers where the product of the smaller two numbers is 19 less than the square of the largest number.
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N; n+1; n+2 - 3 consecutive numbers

n(n + 1) = (n + 2)² - 19    |use a(b + c) = ab + ac and (a + b)² = a² + 2ab + b²

n² + n = n² + 4n + 4 - 19    |subtract n² from both sides

n = 4n - 15    |subtract 4n from both sides

-3n = -15    |divide both sides by (-3)

n = 5

n + 1 = 5 + 1 = 6

n + 2 = 5 + 2 = 7

Answer: 5; 6; 7.
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3 years ago
I dont know how you’d work this out, someone please help!<br><br> Thanks
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Answer:

see photo attached for analysis

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2 years ago
If the volume of the pyramid shown is 12cm^3, what is its height?
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I think it’s either C or D
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Alberta has 5 shirts and 4 pants. 3 of the shirts are her favorite and 2 of the pants are her favorite. If Alberta chooses an ou
tiny-mole [99]

Answer:

\frac{3}{10}

Step-by-step explanation:

In probability, "AND" means "multiplication" and

"OR" means "addition".

We want the probability that she picks FAVORITE SHIRT "AND" FAVORITE PANT.

Probability that she picks favorite shirt = 3/5

Probability that she picks favorite pants = 2/4 = 1/2

Since, "AND", we "multiply" both to get:

3/5 * 1/2 = 3/10

5 0
3 years ago
You have some money in your wallet. You don't know the exact amount, but you think you have 60 dollars give or take 15 dollars.
Karolina [17]

Answer:

The least amount is 75 dollars.

The biggest amount is 125 dollars

Step-by-step explanation:

The absolute value function will help us determine a  range of possible values since we do not know the exact amount of money.

Defining the function.

Let x be the exact amount of money in my pocket, we can define the equation

And we know that the difference between the exact amount of money with 100 dollars must be either 25 dollars more than what we estimated, or 25 dollars less than the estimation.  So we can write:

We have a difference inside an absolute value, since we know the difference must be either +25 or -25.

Solving for x

Using the definition of absolute value we have

So if the inside of the absolute value is positive we have the first line of the piece-wise function, that is

Solving for x give us

If the inside of the absolute value is negative we have to use the second line of the piece-wise function definition

Solving for x give us

So the least amount of money in my pocket is 75 dollars and the biggest amount is 125 dollars.

6 0
2 years ago
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