Answer:
Ln or an = 3n - 16
Step-by-step explanation:
This is an arithmetic series. You are adding 4 to get the next term.
Ln = a + (n - 1)d
Ln is the last term or the nth term.
a = - 13
d = 3
Solution
Ln = - 13 + (n - 1)3 Remove the brackets
Ln = - 13 + 3n - 3 Combine like terms
Ln = -16 + 3n or
Ln = 3n - 16
Answer:

Step-by-step explanation:
Let c represents child bikes and a represents adult bikes.
Given : Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test.
With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week.
Then, the required system of inequality :-

If company make 10 child bikes and 12 adult bikes in the week.
Then Put c=10 and a=12 bikes in (1) and (2).
⇒Bike order meets the restrictions
⇒Bike order meets the restrictions
Hence, the system of inequality best explains whether the company can build 10 child bikes and 12 adult bikes in the week.

Diameter is 2.36 cm.
Given:
Circumference = 7.38 cm
Circumference of a circle is computed by multiplying 2, pi, and its radius.
C = 2πr
7.38 = 2 (3.14) r
7.38 = 6.28r
7.38/6.28 = 6.28r/6.28
1.18 = radius
Diameter = 2r
Diameter = 2(1.18)
Diameter = 2.36 cm
Answer:

Step-by-step explanation:
Volume of a prism = Base Area x height
Base is a quarter of a circle.

Base Area = π square meters.
Therefore ,

Answer:
4/3
Step-by-step explanation:
Given function = p(x) = (6x-4)/x
First we will calculate p(1) and p(3)
p(1) = (6(1) - 4)/1 = 6-4 = 2
p(3) = (6(3) - 4)/3 = (18-4)/3 = 14/3
Rate of change on interval [1,3] = [p(3) - p(1)]/(3-1)
=> (14/3 -2)/(2)
=> (14-6)/(3*2)
=> 8/6
=> 4/3
So average rate of change is 4/3