The inequality that represents how much money Caroline needs to earn will be m>35.
In this case, Caroline needs an amount that's greater than $35, therefore, the amount must be greater than $35
From the options given, the correct inequality will be m>35. This means m is greater than $35.
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On average, people visit Thrillville 2 more times per year than Funland.
<h3><u>Averages</u></h3>
To determine how many more times per year, on average, do people visit Thrillville than Funland, the following calculation must be performed:
- Funland: 4,1,2,1,5,6,3,2,4,3,2,6,1,3,2 = 45
- 45 / 15 = 3
- Thrillville: 8,6,5,7,2,5,4,2,1,9,3,8,3,7,5,2,9,4,2,8 = 100
- 100 / 20 = 5
- 5 - 3 = 2
Therefore, on average, people visit Thrillville 2 more times per year than Funland.
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ANSWER
EXPLANATION
The given polynomials are:
and
We want to subtract these two polynomials.
Expand the right hand side to obtain:
Group the similar terms:
Combine the similar terms to get:
Step-by-step explanation:
this sequence is geometric not arithmetic
HOw we know that ??
when we get a common difference that must Be equal
d=6-2=4 not equal to d=18-6=12
So it is not arithmetic
but when we get the common ratio that also must be equal
r=6/2=18/6=54/18=3 equal
So it is geometric
By using this equation:
a(n)=a(1)*r^(n-1)
and we have a(1)=2 , r=3
<u>Explicit rule:</u> a(n)=2*(3)^(n-1)
<u>Recursive rule:</u> a(n)= r * a(n-1)
a(n-1) ⇒ priviuse term
SO: a(n)= 3 * a(n-1)
For example:
a(3)= 3 * 6 =18
<em>I really hope this helps <3</em>
The first thing we should know in this case is that by definition the flow of liquid is given by:
Q = V / t
Where,
V: volume
t: time
The volume of the cone is given by:
V = (pi * r ^ 2 * h) / (3)
Where,
r: radio
h: height
Substituting the values we have:
V = (3.14 * ((3) ^ 2) * 7) / (3)
V = 65.94 in ^ 3
We now turn off the time of the flow equation:
t = V / Q
Substituting values:
t = (65.94) / (14)
t = 4.71 minutes
Answer:
It will take for all the liquid in the funnel to pass through the nozzle about:
t = 4.71 minutes
