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IRINA_888 [86]
3 years ago
13

A cheetah spots a gazelle 300 meters away. The cheetah begins to chase the gazelle at a rate of 18 meters per second at the same

time the gazelle begins to run aways at a rate of 16 meters per second. Which equation represents the time, t, for the cheetah to reach the gazelle?

Mathematics
1 answer:
Rina8888 [55]3 years ago
8 0
The cheetah runs 2 meters/sec faster than the gazelle.  Eventually the cheetah will overcome the gazelle.  Since distance = rate times time, time = distance/rate.

Thus, 

300 meters / (2 meters/sec) = 150 sec = 2 min 30 sec
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Answer the following questions about the problem above. Write in complete sentences to get full credit.
nexus9112 [7]

<em>Note: Since you missed to add the image, so after a little research, I was able to find the image related to this question, which hopefully serves the purpose to clear your concept. The image is attached below.</em>

Step-by-step explanation:

<em><u>Part 1) What is the slope for section "d" of Mrs. Washington's commute</u></em>

Calculating the slope for section "d" of Mrs. Washington's commute:

Slope of the section d  =\frac{y_{2} - y_{1}}{x_{2} - x_{1}}

\frac{6 - 0}{32 - 20}=\frac{1}{2}=0.5

<em><u>Part 2) What does it mean that the slope is negative in context of the problem?</u></em>

The slope is being negative as it is moving downward from the left. In negative slop, the value of x increase, while the vale of y decreases. In positive slop, the value of both x and y increases.

<em><u>Part 3) Why are the slopes different over different intervals?</u></em>

Slopes are different at different intervals as the distance covered in time taken for each part of the given journey are different, also the speed is not the same for each interval.

As the speed can be calculated as

Speed\:=\:\frac{distance}{time}\:

Distance = y_{2} -y_{1} = 20 - 15 = 5

Time = x_{2} -x_{1}= 8 - 0 = 8

Speed = \frac{5}{8}=0.625

Therefore, the speed in the part 1 is 0.625 ms^{-1}

<em><u>Part 4) How long does it take Mrs. Washington to get home? How did you know this?</u></em>

It is clear from the graph that does take 32 minutes to her to get home.  

We can observe it from the graph that it represents the total time taken across the entire journey.

Keywords: slope, speed, time

Learn more about slope, speed and time from brainly.com/question/13275691

#learnwithBrainly

3 0
3 years ago
Concert marketing: The college’s performing arts center wanted to investigate why ticket sales for the upcoming season significa
matrenka [14]

Answer:

Correct options are A,B,D:

  • The sample needs to be random, but we don't know if it is.
  • The actual count of community residents who received the concert brochure by mail is too small.  
  • n(1 minus p‐hat) is not greater than 10.

Step-by-step explanation:

Concert marketing: The college’s performing arts center wanted to investigate why ticket sales for the upcoming season significantly decreased from last year’s sales. The marketing staff collected data from a survey of community residents. Out of the 110 people surveyed, only 7 received the concert brochure in the mail.

4 0
3 years ago
Help?? This question is gonna be similar to a test question tommorow i do not understand
tigry1 [53]
You should calculate( the area of a circle of radius 15 cm ) minus the area of the circle of radius (15 cm - width of the frame). I am not able to read the number, sorry. 
That is the surface area of the frame.

Then, if area of circle radius is 100%, the % of face of the clock is:

(100xareaCircle(15cm-widthframe))/areaCircle15cm


8 0
3 years ago
HELPPPPPP!! ASAPPP!!! PLEASE!! WILL GIVE EXTRA POINTS!<br><br>4.8<br>4<br>8<br>7.2
vivado [14]

Answer:

x = 4

Step-by-step explanation:

180° - 114° = 66°

15x - 6 = 66

15(4) - 6 = 66

60 - 6 = 54      

Statement is wrong because we can see another angle. so...

Final answers: x = 4   while 54 + 114° = 168°  then 180° - 168° = 12°

6 0
3 years ago
Cost of a sled:$99.50<br> Markup:95%<br> find the selling price
Degger [83]
Take wholesale cost and multiply it by 95%, then add to the original value
another way, just multiply by 1.95

Retail cost:  1.95*($99.50) = $194.03
8 0
3 years ago
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