Answer:
6N = T
They will take 96 minutes to add 16 seats.
Step-by-step explanation:
In the factory, the workers add bicycle seats at a rate of 2 seats every 12 minutes.
If the number of seats they add is N and the number of minutes it takes is T, then they are proportional i.e. N ∝ T.
⇒ N = kT ........... (1)
Now, N = 2 for T = 12 minutes.
So, from equation (1), 2 = 12k
⇒ 
Therefore, the equation (1) becomes 
⇒ 6N = T ......... (2)
Now, for N = 16, from equation (2) we get,
T = 16 × 6 = 96 minutes.
Therefore, they will take 96 minutes to add 16 seats. (Answer)
<span><span>The average rate of change formula is basically the slope formula, where you plug in: f(b)-f(a)/b-a. Then plug in the numbers. [f(0)=1,f(3)=7)]. So, 7-1/3-0. 6/3 is 2 so the average rate of change is 2. And that makes sense because the average rate of change is always the slope, and the slope is 2.</span></span>
Answer:
P2 affirms P1 and the conclusion is in the same direction.
P1--->P2--->C
This argument is valid.
Step-by-step explanation: using the syllogism rules.
Premises 1 (P1) = Some foreign emissaries are persons without diplomatic immunity,
Premises 2 (P2) = so some persons invulnerable to arrest and prosecution are foreign emissaries
Conclusion (C) = because no persons with diplomatic immunity are persons vulnerable to arrest and prosecution.
From the argument:
P1 uses "some", that means it's not "all" foreign emissaries person that does not have diplomatic immunity. This means that some other foreign emissaries have diplomatic immunity
P2 uses "some", that means it's affirms to that part of P1 which states that some foreign emissaries have diplomatic immunity.
The conclusion is valid because the part of P2 which states that some foreign emissaries are vulnerable to arrest, which affirms with P1 which states that Some foreign emissaries are persons without diplomatic immunity. That means no persons with diplomatic immunity are persons vulnerable to arrest and prosecution. This conclusion literally means that if you don't have diplomatic immunity, you are vulnerable to arrest and prosecution.
Therefore;
P2 affirms P1 and the conclusion is in the same direction.
P1--->P2--->C
This argument is valid.
Answer:
The sum of a and b is 12.
Step-by-step explanation:
Try drawing this figure. ABCD would actually be a triangle, rather than the common quadrilateral you would expect - considering there are 4 points plotted. Therefore, we would have to find the distance between respective points ( 0, 1 ) and ( 2, 5 ) / ( 2, 5 ) and ( 7, 0 ) / ( 0, 1 ) and ( 7, 0 ). Let's apply the distance formula and calculate the distance between each point, therefore determining the perimeter.
Distance between points ( 0, 1 ) and ( 2, 5 )
= 
= 
= 
= 
= 
Distance between points ( 2, 5 ) and ( 7, 0 )
= 
= 
= 
= 
= 
And you can calculate the distance between points ( 0, 1 ) and ( 7, 0 ) to be exactly as well. Therefore, you can say that the perimeter of this triangle is 
= 
. Note that this is similar to the form we are given. Thus, a = 10, and b = 2 - making it's sum 10 + 2 = 12.
Cirque i do believe. its really beautiful actually
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