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2 years ago

PLS HELP, 50 POINTS!!!

Mathematics

2 answers:

Sedaia [141]2 years ago

8 0

Answer:

Part A: From 0 to 2 seconds, the height of the water balloon increases from 60 to 75 feet, therefore the water balloon's height is increasing during the interval [0,2]

Part B: From 2 to 4 seconds, the height of the water balloon stays the same at 75 feet, therefore the water balloon's height is the same during the interval [2,4] From 10 to 12 seconds, the height of the water balloon stays the same at 0 feet, therefore the water balloon's height is the same during the interval [10,12] From 12 to 14 seconds, the height of the water balloon stays the same at 0 feet, therefore the water balloon's height is the same during the interval [12,14]

Part C: The interval, [4,6] of the domain is when the water ballon's height decreases the fastest. The interval [4,6] decreases by 35 feet. The two other intervals that decrease are [6,8] and [8,10] which both have the same slope. They decrease by 20 feet. Therefore, this helps us conclude that the interval [4,6] decreases the fastest because 35 feet is a more significant decrease than 20 feet.

Part D: I predict that the height of the water balloon at 16 seconds is 0 feet. This is because at 10-14 seconds, the water balloon's height is 0 feet. In read-world situations, if the water balloon is on the ground which is 0 feet, it stays on the ground due to gravity.

Step-by-step explanation:

I hope this helps! I also do not know if it is all correct but I did research and everything so hopefully it is correct! Good luck!

Sonja [21]2 years ago

7 0

Answer:

File below...

Step-by-step explanation:

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WILL GIVE BRAINLIEST!!!

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Answer:

$y=448-28x$

Step-by-step explanation:

Let x be the number of miles.

We have been given that Sully's car has an average fuel economy of 28 miles per gallon. The capacity of the fuel tank is 16 gallons.

Let us find the number of miles that Sully can drive with 16 gallons.

$\text{Number of miles Sully can drive}=\text{16 gallons}\times \frac{\text{28 miles}}{\text{gallon}}$

$\text{Number of miles Sully can drive}=\text{16}\times \text{28 miles}$

$\text{Number of miles Sully can drive}=448\text{ miles}$

This means that initially Sully's car has can drive 448 miles, so at x equals 0, y will be 448.

As the car consumes 1 gallon for each 28 miles driven, so the gallons of fuel consumed in traveling x miles will be 28x. As each gallon of fuel will decrease with each 28 miles traveled, so slope of our function will be -28.

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$y=448-28x$

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Which number line represents the solution to 2.5 – 1.2x < 6.5 – 3.2x? A number line from negative 5 to 5 in increments of 1.

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C. 2 is less than or equal to x

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Answer:

Part 1: There are 4.7*10^21 ways to select 40 volunteers in subgroups of 10

Part 2: The research board can be chosen in 32760 ways

Step-by-step explanation:

Part 1:

The number of ways in which we can organized n elements into k groups with size n1, n2,...nk is calculate as:

$\frac{ n!}{ n1!*n2!*...*nk! }$

So, in this case we can form 4 subgroups with 10 participants each one, replacing the values of:

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The number of ways in which we can choose k element for a group of n elements and the order in which they are chose matters is calculate with permutation as:

$nPk = \frac{ n!}{(n-k)!}$

So in this case there are 4 offices in the research board, those are director, assistant director, quality control analyst and correspondent. Additionally this 4 offices are going to choose from a group of 5 doctors.

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Answer:

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b) P[ Pf | Nd ] = 0,692

Step-by-step explanation:

We will call:

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D₂ Probability of defective bulb when the process is in malfunction condition

Ptd Total probability of defective bulbs

Then applying theorem´s Bayes have

P [ A | B ] = P(A) * P [ B | A ] / P(B)

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