The estimated number of ramps that can be cut from the board in discuss is; 6 ramps which is a reasonable assumption provided that each ramp is about 2 feet long.
b). The number of ramps that can be cut from the 12 1/2 feet long board is 6 and hence, the length of wood left is; 1/2.
<h3>What is the number of ramps that can be cut from the 12 1/2 feet long board?</h3>
It follows from the task content that skateboard ramps are made from a 12 1/2 feet long ramp.
Consequently, on the assumption that the quantity by measure of length of the board required to make one skateboard ramp is 2 feet, it follows that the estimated number of ramps that can be made from the board is; 12/2 = 6 skateboard ramps.
Ultimately, the amount of wood which is left over upon making the ramps is; 12 1/2 - 12 = 1/2.
Read more on division;
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Answer: see explanation
Step-by-step explanation:
so you have a plane at constant altitudeof 6km (6000m) flying at 800 km/h (222.222 m/s) (see the image)
the plane is moving with constant speed therefore x(t) = 222.222*t => no forces are interacting horizontally with the plane therefore acceleration is 0, then v is constant and x(t) is a linear function which coefficient is v.
now we have a triangle with an angle theta, one side is x(t), and the other is 6000m. we can get theta by tan(theta) = 6000/(222.222*t). 24 minutes are 1440 seconds so if we replace such value, we get the theta angle by  solving for theta => theta = arctan(6000/(222.222*1440)) = 0.019 radians or 1.074 degrees. Now if you want to know the exchange rate of theta we have to differentiate the expression with respect to t:

then replace t with 1440 and you will get that theta is changing by -0.000013 (1.3E-5) radians or -7.458E-4 degrees every second which has a lot of sense since the plane is getting out of your line of sight due to the earth's curvature
 
        
             
        
        
        
Answer:
I believe that is correct. But there are other ways to define a linear equations along with this one :)
 
        
             
        
        
        
Answer:
Infinite sequence with terms  or
 or 

Step-by-step explanation:
Consider the pattern

First term of this pattern is 
 
 
second - 
 
 
third - 
 
 
fourth - 
 
 
fifth - 
 
 
sixth - 
 
 
seventh - 

This equence is infinite and each next term is obtained from the previous multiplying by ab.
 
        
             
        
        
        
First combine like terms 
 3x - 7 - 2x + 5 = 6
 x - 2 = 6
Get x by itself by adding 2 on both sides
 x - 2 = 6
 x = 8
Your answer is x = 8