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Slav-nsk [51]
3 years ago
5

Which table shows exponential decay?

Mathematics
2 answers:
alexandr402 [8]3 years ago
7 0

Answer:

Table 1,

1 16

2 8

3 4

4 2

Step-by-step explanation

The equation for this function can be written as

y = 16^1/x

This is exponential decay.  

Mekhanik [1.2K]3 years ago
7 0

Answer: table 1

Step-by-step explanation:

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The graph shows the heights, y (in centimeters), of a plant after a certain number of weeks, x. Donna drew the line of best fit
Nezavi [6.7K]

Using the given linear function of best-fit, the most likely approximate height of the plant after 8 weeks would be of 7.4 centimeters.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

The line of best-fit goes through points (0,1) and (5,5). Point (0,1) means that the y-intercept is of b = 1. The slope is given as follows:

m = (5 - 1)/(5 - 0) = 4/5 = 0.8.

Hence the equation that gives the approximate height after x weeks is:

y = 0.8x + 1.

After 8 weeks, the expected height is:

y = 0.8 x 8 + 1 = 6.4 + 1 = 7.4 centimeters.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

4 0
2 years ago
According to a recent New York Times poll, 25% of the public have responded to a telephone call-in
ArbitrLikvidat [17]

Answer:

Probability that exactly two people out of a randomly  chosen group of five people have responded to a telephone call-in poll is 0.264.

Step-by-step explanation:

We are given that according to a recent New York Times poll, 25% of the public have responded to a telephone call-in  poll.

Also, five people have people have been randomly selected.

The above situation can be represented through binomial distribution;

P(X = r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r};x=0,1,2,3,.......

where, n = number trials (samples) taken = 5 people

           r = number of success = exactly two

           p = probability of success which in our question is probability that

                 public have responded to a telephone call-in  poll, i.e; p = 25%

<em><u>Let X = Number of people who have responded to a telephone call-in  poll</u></em>

So, X ~ Binom(n = 5, p = 0.25)

Now, probability that exactly two people out of group of five people have responded to a telephone call-in poll is given by = P(X = 2)

                P(X = 2)  =  \binom{5}{2} \times 0.25^{2} \times (1-0.25)^{5-2}

                               =  10 \times 0.25^{2}  \times 0.75^{3}

                               =  <u>0.264</u>

<em>Therefore, the probability that exactly two people out of a randomly  chosen group of five people have responded to a telephone call-in poll is 0.264.</em>

3 0
3 years ago
What is the measure of the inscribed angle that shares endpoints with a central angle measuring 85°
DedPeter [7]
The answer is C! The measure of central angle is 2x the measure an inscribed angle!
5 0
3 years ago
Basically i need to find the 6th step but I don’t really understand proofs and I need help.
Pavel [41]

As far as I know, it should be GH congurent to GI

HOPE THIS HELPS, M mot exactly sure about it, u can cross check it once, N M sorry in advance if it is wrong...

4 0
3 years ago
I need help with this please !! I have to use the tabular method which is using like the boxes. Thank you!!
NikAS [45]

Answer:

a. 12 - 8x - x² + x³

b. 275 - 375x - 351x² + 240x³ + 112x⁴

c. 30 + 37m - m² - 25m³ - 14m⁴ + 3m⁵

d. 81 + 9x² + x⁴

Step-by-step explanation:

Tabular method is what I hear people call "Partial Products". Alright. All you have to do is look at how many terms are in each factor, break them up separately into columns and rows, then do your multiplication. This is the best example you will get, and just so you know, it is NOT drawn to scale [IMPERFECT]:

d.

9 | -3x | x²

------|-------|-----

9 | 81 | -27x | 9x²

____________________

3x | 27x| -9x² | 3x³

| | |

____________________

x² |9x² | -3x³ | x⁴

| | |

Add up all the boldfaced terms inside the box, and you will get the above answer.

I am joyous to assist you anytime.

3 0
3 years ago
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