Hello there! <br><br> Can I get some help? Don't forget to show your work :) <br><br> Thanks!

mamaluj [8]

Answer:

The answer is below

Step-by-step explanation:

The linear model represents the height, f(x), of a water balloon thrown off the roof of a building over time, x, measured in seconds: A linear model with ordered pairs at 0, 60 and 2, 75 and 4, 75 and 6, 40 and 8, 20 and 10, 0 and 12, 0 and 14, 0. The x axis is labeled Time in seconds, and the y axis is labeled Height in feet. Part A: During what interval(s) of the domain is the water balloon's height increasing? (2 points) Part B: During what interval(s) of the domain is the water balloon's height staying the same? (2 points) Part C: During what interval(s) of the domain is the water balloon's height decreasing the fastest? Use complete sentences to support your answer. (3 points) Part D: Use the constraints of the real-world situation to predict the height of the water balloon at 16 seconds.

Answer:

Part A:

Between 0 and 2 seconds, the height of the balloon increases from 60 feet to 75 feet at a rate of 7.5 ft/s

Part B:

Between 2 and 4 seconds, the height stays constant at 75 feet.

Part C:

Between 4 and 6 seconds, the height of the balloon decreases from 75 feet to 40 feet at a rate of -17.5 ft/s

Between 6 and 8 seconds, the height of the balloon decreases from 40 feet to 20 feet at a rate of -10 ft/s

Between 8 and 10 seconds, the height of the balloon decreases from 20 feet to 0 feet at a rate of -10 ft/s

Hence it fastest decreasing rate is -17.5 ft/s which is between 4 to 6 seconds.

Part D:

From 10 seconds, the balloon is at the ground (0 feet), it continues to remain at 0 feet even at 16 seconds.

3 0

3 years ago

the parent function of the function g(x)=(x-h)^2+k is f(x)=x^2. the vertex of the function g(x) is located at (9,8). what are th

Lunna [17]

Answer:

Step-by-step explanation:

$\text{The vertex form of an an equation of a quadratic function:}\\\\y=a(x-h)^2+k\\\\(h,\ k)-vertex\\\\\text{We have}\ g(x)=(x-h)^2+k,\ \text{and the vertex in}\ (9,\ 8).\\\\\text{Therefore}\ h=9\ \text{and}\ k=8.\ \text{substitute:}\\\\g(x)=(x-9)^2+8$

8 0

3 years ago

owen has 5/6 of a yard of sailcloth. he uses 2/3 of the cloth to recover a seat cushion. How much cloth does he use?

adelina 88 [10]

He uses 2 feet of the yard or... 4/6 hope this helped :3

3 0

3 years ago

Read 2 more answers

Three cards are drawn at random from a standard deck of cards, without replacement. Find the probability that the suits of the c

Evgesh-ka [11]

The probability that suits of cards are spades, hearts, and spades is 39/850 or 0.046.

According to the give question.

Three cards are drawn from a standard deck of cards without replacement.

Since,

The total number of cards in a standard deck = 52

Total number of spade cards = 13

Total number of heart cards = 13

Now,

The probabbility of getting first card as a spade card = 13/52 = 1/4

The probability of getting second card as heart card

= 13/(52 -1) (cards are drawn without replacement)

= 13/51

The probability of getting third card as a spade card

= (13 - 1)/52 -2

= 12/50

= 6/25

Therefore, the probability that suits of the cards are spades, hearts, spades

= 1/4 × 13/51 × 6/25

= 39/850

= 0.046

Hence, the probability that suits of cards are spades, hearts, and spades is 39/850 or 0.046.

Find out more information about probability here:

brainly.com/question/11234923

#SPJ4

8 0

1 year ago

How can i calculate the growth rate of the values below

Grace [21]

Answer:

12%

Step-by-step explanation:

The equation for the growth is ...

f(t) = (initial value)×(growth multiplier per period)^(number of periods)

where the growth multiplier is often expressed as a percentage added to 1:

multiplier = 1+r

growth rate = r

__

This equation has two unknowns:

initial value
growth multiplier

In order to find these, you can make use of two of the supplied data points. I like to choose the ones that are farthest apart, as they tend to average out any errors due to rounding.

Clearly, the table tells you the initial value is 210. If you don't believe, you can put the numbers in the equation to see that:

f(0) = (initial value)×(growth multiplier)^0

210 = (initial value)×1

(initial value) = 210

__

Using the last data point, we get ...

f(7) = 210×(growth multiplier)^7

464 = 210×(growth multiplier)^7 . . . . . . . . . fill in table value

2.209524 = (growth multiplier)^7 . . . . . . . divide by 210

You can solve this a couple of ways. My calculator is able to take the 7th root, so I can use it to find ...

$\sqrt[7]{2.209524}=\text{(growth multiplier)}\\1.119916\approx \text{(growth multiplier)}$

Alternatively, you can use the 1/7 power:

2.209524^(1/7) = (growth multiplier)

Another way to solve this is to use logarithms:

log(2.209524) = 7×log(growth multiplier) . . . . . take the log

log(2.209524)/7 = log(growth multiplier) . . . . . divide by 7

0.04918553 ≈ log(growth multiplier)

growth multiplier = 10^0.04918553 ≈ 1.11992 . . . . take the antilog

So, our growth multiplier is ...

1 + r ≈ 1.11992

r ≈ .11992 ≈ 12.0%

The rate of growth is about 12% in each period.

_____

Collapsing all of that to a single calculation:

growth rate = (464/210)^(1/(7-0)) -1 ≈ 12.0%

8 0

3 years ago

Hello there! Can I get some help? Don't forget to show your work :) Thanks!