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madreJ [45]
3 years ago
6

Meg plotted the graph below to show the relationship between the temperature of her city and the number of people at a swimming

pool:
Part A: In your own words, describe the relationship between the temperature of the city and the number of people at the swimming pool. (5 points)

Part B: Describe how you can make the line of best fit. Write the approximate slope and y-intercept of the line of best fit. Show your work, including the points that you use to calculate slope and y-intercept. (5 points)

Mathematics
1 answer:
stealth61 [152]3 years ago
6 0

Answer:

Generally, the higher the temperature, the larger the population.

Step-by-step explanation:

The line goes from left to right, and from down to up, so we can see that the temperature affects the population at the pool.

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A hot air balloon rising vertically is tracked by an observer located 5 miles from the lift-off point. At a certain moment, the
Zigmanuir [339]

Answer:

Step-by-step explanation:

aThe person and the hot air balloon form a right triangle, with the lift-off point as the vertex that form the right angle. If you were to try to solve for the height of the balloon, you would need to use tangent to do so:

tanθ = opp/adj = y/x

y = xtanθ

What this problem ultimately wants to know, is how the distance of the balloon is changing with respect to time: dy/dt. So we need to take the derivative of the above equation (you need to product rule to do so):

dy/dt = (dx/dt)tanθ + xsec2θ(dθ/dt)

We need to find out values for all of the variables:

The observer is not moving, therefore dx/dt = 0.

The observer is standing 4 miles away from the lift-off point, so x = 4.

The angle between the horizontal and the observer's line of sight is π/3, therefore θ = π/3.

The rate of change for the angle, dθ/dt, is 0.1.

Just plug all the numbers in:

dy/dt = (0)tan(π/3) + (4)sec2(π/3)(0.1)

dy/dt = 0 + 1.6

dy/dt = 1.6 mi/min

5 0
2 years ago
Use squares to show 22 two different ways. Draw both ways
kow [346]
If I understand this correctly you can write it as
22
twenty-two, or
20+2
I hope this helps!!! Please mark brainliest if correct!!!
7 0
4 years ago
Can someone answer this please
erma4kov [3.2K]

Answer:

4^(-11)

Step-by-step explanation:

To divide powers, subtract the exponents.

4^(-2) / 4^9

-2-9=-11

So, the answer is 4^(-11), which is basically 4 to the eleventh power.

8 0
3 years ago
Read 2 more answers
johhny borrowed $15 per month from his mom to pay for his school supplies at the end of the course he owed his mom $135 how many
dusya [7]
9 months,
135 \ \div 15 = 9
6 0
3 years ago
Read 2 more answers
What percent of 56 is 14?
Marysya12 [62]

Answer:

25 percent

Step-by-step explanation:

Of means multiply and is means equals

P * 56 = 14

Divide each side by 56

P = 14/56

P = .25

To change to a percent, multiply by 100

P = 25 percent

4 0
4 years ago
Read 2 more answers
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