Answer:
<u>b(n) = -11 + (n-1)*8</u>
<u></u>
Step-by-step explanation:
Let n be the sequence number, with n=1 the first number b(1) -11
The sequence changes by +8 each step.
<u><em>b(1)</em></u><em> -11</em> + 8 = -3
<u><em>b(2)</em></u><em> -3</em> + 8 = 5
<u><em>b(3)</em></u> <em> 5 </em> + 8 = 13
<u><em>b(4)</em></u><em> </em> <em>13</em>
b(1) = -11
b(2) = -3. or b(1) + 1*8
b(3) = 5, or b(1) + 2*8
b(4) = 13, or b(1) + 3*8
We note that each step adds a multiple of 8 to the initial value of -11. This can be stated as (n-1)*8
The formula for this sequence would be b(n) = b(1) + (n-1)*8
<u>b(n) = -11 + (n-1)*8</u>
Check: Does n=3 return the value of 5?
b(n) = -11 + (n-1)*8
b(3) = -11 + ((3)-1)*8
b(3) = -11 + (2)*8
b(3) = -11 + 16
b(3) = 5 <u><em>YES</em></u>
Answer:
7 to the 12th power. (The last one.)
Step-by-step explanation:
When dividing expressions with the same base you need to subtract the powers. In this case subtract 2 from 14 which makes 12. So your answer will be <u><em>7^12</em></u>.
Answer:
Look at the numbers on the sides. If they are not spaced out very far, it's centimeters. If they are spaced out very far, it's inches
Step-by-step explanation:
this is how you read a ruler
Answer:
I belive it is 3x^2 + x. Sometimes I'm braindead so it may be wrong.
Answer:

Step-by-step explanation:
The work done is the product of the magnitude of the force applied to the object by the magnitude of the displacement of the object by the cosine of the angle between the force and direction of the displacement. This is:

In this case

|F|=180 pound force
The magnitude of vector AB is:

Finally the work is:

