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erica [24]
3 years ago
10

In the city of Carmen, there is a drawbridge that is opened twice per hour over the summer. The graph below shows the number of

feet that the top of the bridge was above the water versus the amount of minutes that the
drawbridge was open

Mathematics
1 answer:
n200080 [17]3 years ago
7 0

Answer:

1) Between 0 and 1 minute the rate of change is 25 ft./min

2) Between 1 and 2 minute the rate of change is 0 ft./min

3) Between 2 and 4 minute the rate of change is -12.5 ft./min

Step-by-step explanation:

1) Between 0, and 1 feet, we have;

The rate of change = (Final height - Initial height)/(Final time - Initial time)

The rate of change = (40 - 15)/(1 - 0) = 25 ft/min

Between 0 and 1 minute the rate of change = 25 ft./min

2) Between 1, and 2 feet, we have;

The rate of change = (40 - 40)/(2 - 1) = 0 ft/min

Between 1 and 2 minute the rate of change = 0 ft./min

3) Between 2, and 4 feet, we have;

The rate of change = (15 - 40)/(4 - 2) = -12.5 ft/min

Between 2 and 4 minute the rate of change = -12.5 ft./min

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It takes Leon 17 hours to seal his driveway working by himself. If Michael helps Leon, they can seal the driveway in 2 hours. Ho
Norma-Jean [14]

Answer:

It takes Michael 1 hour, 14 minutes and 7 seconds to seal the driveway close

Step-by-step explanation:

Hi

Leon do the work in 17 hours that means the rate of his work is \frac{1}{17} work/hr, so he do \frac{2}{17} of the work in two hours, therefore Michael do the other \frac{15}{17} of the work, thus Michael rate will be \frac{15}{17} \div\frac{1}{2} =\frac{30}{17} work/hour.

So it takes Michael 1h+\frac{4}{17}h to complete the work, or \frac{4h}{17} \times \frac{60min}{1hour} =14\frac{2}{17} min\\\\\frac{2}{17} min \times \frac{60 secs}{1min}=7secs

1h \ 14 min \ 7secs

8 0
3 years ago
What is 3X minus 6 and how did you get there??? A. 7 B. 9 C. 15 D. 18
Brilliant_brown [7]
Multiply 3x by -6, it gives you -18 so I'm going to say D
7 0
3 years ago
Read 2 more answers
Find the measure of the arc or central angle indicated. Assume that lines which appear to be diameters are actual diameters.
vfiekz [6]

The measure of the Central Angle indicated is; 45°

<h3>How to find the central angle of a circle?</h3>

The central angle will be the angle subtended at the center by arc FE and arc CB.

Now, we see that angle ∠FOB = 135° and since we know that sum of angles on a straight line is 180°, then we can say that;

Central Angle = 180° - 135° = 45°

Angle subtended by Arc CD at the center is;

θ = 180 - (81 + 45)

θ = 54°

Read more about Central Angle at; brainly.com/question/17074363

#SPJ1

8 0
2 years ago
12-3m=4+5/m <br> HELPPPP
Kipish [7]
M1= 5 , M2=1

Explanation:

12-3m-4-5/m=0
8-3m-5/m=0
(8-3m-5/m=0) * m
8m-3m^2-5=0
8m-3m^2=5
m(8-3m)=5
m1=5
m2=> (8-3m)=5
3m=3
m2= 1
6 0
3 years ago
Read 2 more answers
Philip did 14 setups on Monday 21 sit-ups on Tuesday and 28 sit-ups on Wednesday if the pattern continues how many sit-ups will
g100num [7]
So you add 7 every time so,

28+7=34
34+7=41

if he continues his pattern he will have done 41 sit-ups on Friday
7 0
3 years ago
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