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Lera25 [3.4K]
2 years ago
13

Linnea is renting a bike. It costs $4.50 per hour plus a $5 deposit. a. Draw a line to show the relationship between the number

of hours a bike is rented, x, and the total cost of renting a bike, y.
Mathematics
1 answer:
lana [24]2 years ago
3 0

Answer:

(see image)

Step-by-step explanation:

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The first task of the Segment Two Honors Project is to select the Power Pill study participants’ groups and research board offic
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Answer:

Part 1: There are 4.7*10^21 ways to select 40 volunteers in subgroups of 10

Part 2: The research board can be chosen in 32760 ways

Step-by-step explanation:

Part 1:

The number of ways in which we can organized n elements into k groups with size n1, n2,...nk is calculate as:

\frac{ n!}{ n1!*n2!*...*nk! }

So, in this case we can form 4 subgroups with 10 participants each one, replacing the values of:

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  • k by 4 groups
  • n1, n2, n3 and n4 by 10 participants of every subgroups

We get:

\frac{ 40!}{10!*10!*10!*10!} = 4.7*10^{21}

Part 2:

The number of ways in which we can choose k element for a group of n elements and the order in which they are chose matters is calculate with permutation as:

nPk = \frac{ n!}{(n-k)!}

So in this case there are 4 offices in the research board, those are director,  assistant director, quality control analyst and correspondent. Additionally this 4 offices are going to choose from a group of 5 doctors.

Therefore, replacing values of:

  • n by 15 doctors
  • k by 4 offices

We get:

\frac{ 15!}{ (15-4)! } = 32760

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2 years ago
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Why do you think a removable discontinuity (hole) doesn't produce an asymptote on the graph of a polynomial function, even thoug
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Because  removable discontituity means that the limit of the function at that point has a finite value, and then you define the value of the function as that valu (the limit value).

An asymptote means that the limit of the function goes to positive or negative infinity.

You cannot meet both conditions, finite  and infinity limit at the same time.
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Rewrite the given expression in the form 3^u where u is a constant or an algebraic expression.
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Simplifying the given expressions we proceed as follows:
(5sqrt3)^x
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=2^-(3-x)
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16/(3sqrt (2^x))
=1/3*(2^4*2^(-x/2))
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where:
u=4-x/2

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The scatterplot represents the total fee for hours renting a bike. The line of best fit for the data is y = 6.855x + 10.215. Whi
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