C, because every time you multiply the preceding number by 1/18, you get the next number in the sequence. It's not D, because an arithmetic sequence would be 216-1/18 (a difference of 1/18) rather than it decreasing by a factor.
Answer:
A: 200 combinations
Step-by-step explanation:
You multiply 4 by 10 to get 40 and then you multiply 40 by 5 to get 200 options
Answer:
Remember that:
Speed = distance/time.
Then we can calculate the average speed in any segment,
Let's make a model where the average speed at t = t0 can be calculated as:
AS(t0) = (y(b) - y(a))/(b - a)
Where b is the next value of t0, and a is the previous value of t0. This is because t0 is the middle point in this segment.
Then:
if t0 = 100s
AS(100s) = (400ft - 0ft)/(200s - 0s) = 2ft/s
if t0 = 200s
AS(200s) = (1360ft - 50ft)/(300s - 100s) = 6.55 ft/s
if t0 = 300s
AS(300s) = (3200ft - 400ft)/(400s - 200s) = 14ft/s
if t0 = 400s
AS(400s) = (6250s - 1360s)/(500s - 300s) = 24.45 ft/s
So for the given options, t = 400s is the one where the velocity seems to be the biggest.
And this has a lot of sense, because while the distance between the values of time is constant (is always 100 seconds) we can see that the difference between consecutive values of y(t) is increasing.
Then we can conclude that the rocket is accelerating upwards, then as larger is the value of t, bigger will be the average velocity at that point.
First you want to work the discount for the TV.
$187.13*0.75=$140.3475 (this will get you the price of the TV after the discount.)
Now round the answer $140.3475 to the nearest hundredth. The new answer is $140.35. So the price of the TV after the discount is $140.35. Next use this equation to solve for the tax that would be added to the price of the discounted TV:
(t*d)+d=p
In that equation t=taxes, d=discounted TV price, and p=price total. Now input the values you know.
(0.09*140.35)+140.35=p
Multiply what is in the parentheses first.
12.6315+140.35=p
Add the two numbers together.
152.9815=p
Round the end amount to the nearest hundredth.
152.98=p
So now you know that the total price of the discounted TV after tax is added is $152.98. I hope you could understand this and it helps! :D
Answer:
I believe c.
Step-by-step explanation: