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Sophie [7]
3 years ago
6

Which function represents exponential decay?f(x)=1/2(2)xf(x)=3/4(-1/5)xf(x)=(7/2)xf(x)=2(2/3)x

Mathematics
2 answers:
Ber [7]3 years ago
6 0

Answer:

the answer is d i just did it and got it right

Step-by-step explanation:

nasty-shy [4]3 years ago
3 0

Answer: The answer is (D) f(x)=2(\dfrac{2}{3})^x.

Step-by-step explanation:  We are to select the correct function which represents exponential decay.

We know that an exponential decay is represented by the function with base less than 1.

For example, if we consider the following exponential function:

f(x)=b^x,

then f(x) will show exponential growth if b > 1 and exponential decay is b < 1.

Among the given functions, f(x)=2(\dfrac{2}{3})^x represents exponential decay, because the base is 0.66, which is less than 1.

Thus, (D)  f(x)=2(\dfrac{2}{3})^x. is the correct option.

The graph of this resultant function is attached, which clearly represents exponential decay.

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Base your answer on Betty is thinking of two consecutive integers whose sum is 41.
mel-nik [20]

Answer:

let the numbers be, x and x+1 ( as it is consecutive number the next number will have 1 more than the number )

sum = 41

so, x + ( x + 1 ) = 41

      x + x + 1 = 41

        2x + 1 = 41

             2x = 41 -1 = 40

              2x = 40

                x = 40/2 = 20

x = 20

x + 1 = 20 + 1 = 21

so the consecutive numbers whose sum is 40 are, 20 and 21  

hope this answer helps you.....

please mark as brainliest... thank you!

6 0
3 years ago
Give the first ten terms of the following sequences. You can assume that the sequences start with an index of 1. Logs are to bas
Vitek1552 [10]

Answer:

a)

a1 = log(1) = 0 (2⁰ = 1)

a2 = log(2) = 1 (2¹ = 2)

a3 = log(3) = ln(3)/ln(2) = 1.098/0.693 = 1.5849

a4 = log(4) = 2 (2² = 4)

a5 = log(5) = ln(5)/ln(2) = 1.610/0.693 = 2.322

a6 = log(6) = log(3*2) = log(3)+log(2) = 1.5849+1 = 2.5849 (here I use the property log(a*b) = log(a)+log(b)

a7 = log(7) = ln(7)/ln(2) = 1.9459/0.6932 = 2.807

a8 = log(8) = 3 (2³ = 8)

a9 = log(9) = log(3²) = 2*log(3) = 2*1.5849 = 3.1699 (I use the property log(a^k) = k*log(a) )

a10 = log(10) = log(2*5) = log(2)+log(5) = 1+ 2.322= 3.322

b) I can take the results of log n we previously computed above to calculate 2^log(n), however the idea of this exercise is to learn about the definition of log_2:

log(x) is the number L such that 2^L = x. Therefore 2^log(n) = n if we take the log in base 2. This means that

a1 = 1

a2 = 2

a3 = 3

a4 = 4

a5 = 5

a6 = 6

a7 = 7

a8 = 8

a9 = 9

a10 = 10

I hope this works for you!!

3 0
3 years ago
Point Lis a centroid of the triangle FWD, If RL = 54 cm, what is RD?
Wittaler [7]

Answer:

RD = 162 cm

Step-by-step explanation:

LD = 2 RL = 2* 54 = 108

RD = RL + LD

RD = 54 + 108

RD = 162 cm

7 0
3 years ago
Justin has a roll of tape 549 centimeters long. he cuts the tape into pieces that are 9 centimeters long. How many 9 centmeter p
Olenka [21]

Answer:

61

Step-by-step explanation:

5 0
3 years ago
Random question what is 50+40-1*5plus 2
Scilla [17]

Answer:

87 i think

Step-by-step explanation:

I used a calculator

5 0
3 years ago
Read 2 more answers
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