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Contact [7]
3 years ago
9

Given the sequence is defined by the explicit definition LaTeX: t_n=2^n-nt n = 2 n − n, find the 5th term of the sequence. (ie L

aTeX: t_5t 5)

Mathematics
2 answers:
Aleonysh [2.5K]3 years ago
8 0

<em>*100% CORRECT ANSWERS</em>

Elena L [17]3 years ago
3 0

Answer:

t_{5}=27

Step-by-step explanation:

Given:

The n^{th} term of the sequence is given as:

t_{n}=2^{n}-n

In order to find the fifth term of this sequence, we need to plug in 5 for n in the above expression and solve. This gives,

t_{5}=2^{5}-5\\t_{5}=32-5=27

Therefore, the fifth term of the sequence is t_{5}=27.

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Elena and her husband Marc both drive to work. Elena's car has a current mileage (total distance driven) of 7,000 and she drives
cupoosta [38]
Yes they will be equal at some point. Although Marc has more miles on his car at the current moment, Elena is adding miles at a higher rate.

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4 years ago
ALGEBRA II // MODULE 1
natita [175]

Answer:

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3 years ago
The table below shows the squares of different numbers:
pentagon [3]
Part A:

Yes this is a function of x. Specifically the function is f(x) = x^2
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f(x) = x^2
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f(-3) = 9 <<--- output is 9
The pair of values -3 and 9 are shown in the table (column on the very right side)

The fact that each input leads to exactly one output is what makes this a function. If we had an input lead to multiple outputs, then it wouldn't be a function.

=============================================================

Part B

Replace every x with 150 and then use the order of operations PEMDAS to simplify

f(x) = 20+3x
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f(150) = 20+3*150 <<--- x has been replaced with 150
f(150) = 20+300
f(150) = 320
So the value of f(150) is 320
The input is 20
The output is 320
x is the number of hours
y or f(x) is the total cost

So this means f(150) = 320 represents the idea that 150 hours of renting the rowboat leads to a total cost of $320

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4 years ago
Please help anyone and explain?
ddd [48]

Answer:

a) 47 people (count each leaf)

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3 years ago
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