Answer: Hopefully the math terms won't confuse anyone.
So in the series, a_3 = -1 and a_7 = -13. Since it's an arithmetic sequence, all the terms in the series can be represented as:
a_n = a_0 + n * k
where n is the nth number. K is a constant you add to reach the next term, and a_0 is the starting constant.
a_7 = a_0 + 7 * k
a_3 = a_0 + 3 * k
solving this system gives you that
k = - 3 and a_0 = 8
Hence:
a_22 = 8 + 22 * -3 = -58
Step-by-step explanation:
Answers:
Final velocity = 29 m/s
Distance traveled = 73.5 meters
========================================================
Work Shown:
The given data is

This leads to

The final velocity is 29 m/s.
----------
We can use that final velocity to find the distance traveled.

The distance traveled is 73.5 meters.
----------
An alternative way to calculate the distance is to do this

Or you could do this

For more information, check out the Kinematics equations.
You have to find to numbers that are the same and multiply them to see if you the answer your looking for for example, square root of 36 is 6 because 6 time 6 is 36
in a US gallon, there are approximately 3.79 Liters, in a Liter there are 1000 milliLiters, so 3.79 Liters is then 3.79 * 1000 milliLiters, namely 3790 milliliters.
since a gallon is then approximately 3790 mL, how many times does 5mL go in to 3790? 3790 ÷ 5 = 758.
since the child uses 5mL in 1 day, then 758 times that is 758 days.
Answer:
small yards: 5 = 110$
large yards: 1 = 30$
she mowed 5 small and 1 large yard
Step-by-step explanation: