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svetoff [14.1K]
2 years ago
9

Find the equation of the linear function represented by the table below in slope-intercept form.

Mathematics
1 answer:
nalin [4]2 years ago
4 0
I think it would be

y=2x+3
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A Ferris Wheel 22.0m in diameter rotates once every 12.5s. What is the ratio of a persons apperenet weight to her real weight (a
AnnZ [28]
  <span>Acceleration of a passenger is centripetal acceleration, since the Ferris wheel is assumed at uniform speed: 
a = omega^2*r 

omega and r in terms of given data: 
omega = 2*Pi/T 
r = d/2 

Thus: 
a = 2*Pi^2*d/T^2 

What forces cause this acceleration for the passenger, at either top or bottom? 

At top (acceleration is downward): 
Weight (m*g): downward 
Normal force (Ntop): upward 

Thus Newton's 2nd law reads: 
m*g - Ntop = m*a 

At top (acceleration is upward): 
Weight (m*g): downward 
Normal force (Nbottom): upward 

Thus Newton's 2nd law reads: 
Nbottom - m*g = m*a 

Solve for normal forces in both cases. Normal force is apparent weight, the weight that the passenger thinks is her weight when measuring by any method in the gondola reference frame: 
Ntop = m*(g - a) 
Nbottom = m*(g + a) 


Substitute a: 
Ntop = m*(g - 2*Pi^2*d/T^2) 
Nbottom = m*(g + 2*Pi^2*d/T^2) 

We are interested in the ratio of weight (gondola reference frame weight to weight when on the ground): 
Ntop/(m*g) = m*(g - 2*Pi^2*d/T^2)/(m*g) 
Nbottom/(m*g) = m*(g + 2*Pi^2*d/T^2)/(m*g) 

Simplify: 
Ntop/(m*g) = 1 - 2*Pi^2*d/(g*T^2) 
Nbottom/(m*g) = 1 + 2*Pi^2*d/(g*T^2) 

Data: 
d:=22 m; T:=12.5 sec; g:=9.8 N/kg; 

Results: 
Ntop/(m*g) = 71.64%...she feels "light" 
Nbottom/(m*g) = 128.4%...she feels "heavy"</span>
7 0
3 years ago
Read 2 more answers
The ratio of strawberries to bananas in a smoothie recipe are shown in the graph below.
dedylja [7]

Answer: The last table is the correct answer.

Step-by-step explanation: The ratio is 6 strawberries  to 1 banana.

3 0
3 years ago
The ________________ measures the spread of the middle 50% of the data set.
Scilla [17]

Answer:

C. interquartile range

Step-by-step explanation:

using this to show im right

"The interquartile range (IQR) is the difference between the upper (Q3) and lower (Q1) quartiles, and describes the middle 50% of values when ordered from lowest to highest."

Hope This Helped

6 0
1 year ago
USPS charges a flate rate of $5.50 for the 1st pound of shipping, plus $1.35 for each additional pound. FedEx charges $8.00 for
Rasek [7]

usps is cheaper

Step-by-step explanation:

usps equals 6 dollars 85 cents and fedex charges 9 dollars and 10 cents

5 0
3 years ago
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The results of a survey asking 500 people about their favorite ice cream flavor are shown in the table.
Stels [109]

Answer:

Between Chocolate and Banana

Step-by-step explanation:

Theoretically, I think the experimental probability differs the most between chocolate ice cream flavor and banana ice cream flavor because out of the people surveyed, most people love chocolate and the least love banana.

7 0
2 years ago
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