Hi Brainiac
6(s - 8) ≤ -18
Simplify both sides
6s - 48 ≤ -18
Now add 48
6s - 48 + 48 ≤ -18 + 48
6s ≤ 30
Divide both sides by 6 so we can find the value for s
6s/6 ≤ 30/6
s ≤ 5
I hope that's help:0
Using the permutation formula, as the order is important, it is found that the officers can be chosen in 6840 ways.
Each "position" is a different role(president, vice president and secretary), hence the order is important.
<h3>What is the permutation formula?</h3>
The number of possible permutations of x elements from a set of n elements is given by:
In this problem, 3 people will be chosen from a set of 20, hence:
The officers can be chosen in 6840 ways.
More can be learned about the permutation formula at brainly.com/question/25925367
True
A linear recurrence relation involving a sequence of numbers is one of the form
where and are any fixed numbers.
The given recurrence can be rearranged as
A nonlinear recurrence would have a more "exotic" form that cannot be written in the form above. Some example:
Answer:
height = 20.5068 m
Step-by-step explanation:
Given the data in the question;
First, lets calculate the amplitude, midline and period of 8minutes
Amplitude = 35 / 2 = 17.5
|A| = 17.5
A = - 17.5 { since the wheel starts at 6 o clock }
midline C = (35/2) + 3
C = 17.5 + 3
C = 20.5
And period is 8 minutes
⇒ 2π/B = 8
8B = 2π
B = 2π/8 = π/4
So our equation will be in the form of;
y = h(t) = Acos(B×t) + C
∴ h(t) = -17.5cos( π/4×t) + 20.5
Now, How high are you off the ground after 6 minutes
⇒ height = -17.5cos( π/4 × 6) + 20.5
height = -17.5cos( π/4 × 6) + 20.5
height = -17.5cos( 4.71238898) + 20.5
height = -17.5 × cos( 4.712) + 20.5
height = -17.5 × -0.00038898 + 20.5
height = 0.0068 + 20.5
height = 20.5068 m
Speed = distance divided by time. Plug in what you know.
Speed = 51.2 km / 4 hrs. ****** Simplify *******************
Speed = 12.8 km/hr