Answer:
21.4 mph
Explanation:
Circumference of tire in FEET   = pi * d =  pi * 1 ft = pi  feet 
pi feet  x  600 rot/min  *  60 min /hr  *  1 mile / 5280 feet = 21.4 mph
 
        
             
        
        
        
Answer:
30N*s
Explanation:
Given the following data;
Force = 10N 
Time = 3 seconds 
To find the impulse;
Impulse = force * time
Substituting into the equation, we have;
Impulse = 10 * 3 
Impulse = 30Ns
 
        
             
        
        
        
Answer:
1.86 m
Explanation:
First, find the time it takes to travel the horizontal distance.  Given:
Δx = 52 m
v₀ = 26 m/s cos 31.5° ≈ 22.2 m/s
a = 0 m/s²
Find: t
Δx = v₀ t + ½ at²
52 m = (22.2 m/s) t + ½ (0 m/s²) t²
t = 2.35 s
Next, find the vertical displacement.  Given:
v₀ = 26 m/s sin 31.5° ≈ 13.6 m/s
a = -9.8 m/s²
t = 2.35 s
Find: Δy
Δy = v₀ t + ½ at²
Δy = (13.6 m/s) (2.35 s) + ½ (-9.8 m/s²) (2.35 s)²
Δy = 4.91 m
The distance between the ball and the crossbar is:
4.91 m − 3.05 m = 1.86 m
 
        
             
        
        
        
Answer:
The difference is 7.6 grams.
Explanation:
In mathematics the difference of two numbers is express as the subtraction between them:
          

So to find out the difference between the two measured masses, a will be represented by 123.6 grams since is the bigger number, and b by 115.972 grams.
Therefore, it is get:

<u>Hence, the difference is 7.6 grams. </u>
The result of 7.628 will be expressed as 7.6 to have the correct number of significant figures.          
  
Notice how that can be express in units of kilograms too since there is 1000 gram in 1 kilogram:
 ⇒
 ⇒ 
 
        
             
        
        
        
I think the correct answer from the choices listed above is option D. Scientific theories summarize patterns found in nature. Although, the statement scientific theories are never proven is somewhat true. They are either disproved or they are never disproved. Hope this answers the question.