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nordsb [41]
2 years ago
9

Present the inequality x > 23 ?​

Mathematics
1 answer:
Tanzania [10]2 years ago
8 0

Answer:

x > 23 I think

Step-by-step explanation:

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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
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A medical test has been designed to detect the presence of a certain disease. Among people who have the disease, the probability
Oksi-84 [34.3K]

Answer:

a) 0.497

b) 0.0047

Step-by-step explanation:

a) The probability that the person actually has the disease

\frac{0.06 *0.93}{0.06 *0.93 + 0.06 *0.94} = 0.497

b) The probability that the person actually does have the disease\frac{0.06 *0.07}{0.06 *0.06 + 0.93 *0.94} = 0.0047

6 0
3 years ago
What is -4 x 8 x n simplified?
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Answer:

It's -32x^2

Step-by-step explanation:

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Sec theta - Csc theta / (csc theta)(sec theta)
Sophie [7]

Answer:

sin(x)-cos(x)

Step-by-step explanation:

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Simplify the denominator:

\frac{\frac{1}{cos(x)} - \frac{1}{sin(x)}  }{\frac{1}{cos(x)sin(x)}  }

Simplify the numerator:

\frac{{\frac{2(sin(x)-cos(x))}{sin(2x)} }  }{\frac{1}{sin(x)} * \frac{1}{cos(x)}  }

Divide the fractions: <u>(a/b)/(c/d) = (a * d)/(b * c)</u>:

\frac{(-cos(x)+sin(x))*2cos(x)sin(x)}{sin(2x)}

Use the identity: <u>2cos(x)sin(x) = sin(2x):</u>

\frac{sin(2x)(-cos(x)+sin(x))}{sin(2x)}

Cancel out the common factor (sin(2x)):

-cos(x) + sin(x)

Simplify:

sin(x) - cos(x)

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2 years ago
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An_ is the set of numbers that include negative numbers
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Answer:

Integer, rational

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3 0
3 years ago
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