Answer:

Interpretation:
It means that Passenger will reach to same height after each 2/3 minutes
Step-by-step explanation:
We are given height function as

where
h is the height above the ground
t is the time
we can compare it with standard equation

Period formula is

now, we can compare and find B

we can find period


Interpretation:
It means that Passenger will reach to same height after each 2/3 minutes
Answer:
<u>42 Hours.</u>
Step-by-step explanation:
As an equation where y is the total pages and x is hours of class:
y=1+1x since she started with 1 page and does 1 page per hour.
Setting the total pages she needs as 43 (y=43) we get:
43=1+1x
Subtract one on both sides
42=1x
The 1 doesn't need to be written so
x=42
Therefore, it'll take her 42 hours to write all those notes.
Answer:
The spinner has 6 equal-sized slices, so each slice has a 1/6 probability of showing up.
I guess that we want to find the expected value in one spin:
number 1: wins $1
number 2: wins $3
number 3: wins $5
number 4: wins $7
number 5: losses $8
number 6: loses $8
The expected value can be calculated as:
Ev = ∑xₙpₙ
where xₙ is the event and pₙ is the probability.
We know that the probability for all the events is 1/6, so we have:
Ev = ($1 + $3 + $5 + $7 - $8 - $8)*(1/6) = $0
So the expected value of this game is $0, wich implies that is a fair game.
First, we need to find the area of the pond.
The formula for the area of a circle is: 3.14r^2
So, first of all, the radius is 10, and we need to square that, so 10 x 10 = 100.
There. Now, with the squared radius, we need to multiply that by pi.
100 x 3.14 = 314.
The area of the pond is 314 square meters.
Secondly, we need to find the number of frogs. If there are 2 frogs in each square meter, then 2 x 314 = 628.
There are 628 frogs in the pond.