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Greeley [361]
3 years ago
13

Which of the following exponential regression equation best fits the data shown below. Please help ASAP. ☺️

Mathematics
1 answer:
stepladder [879]3 years ago
8 0

Answer:

Option D [y=6.61\,*\,1.55^x] in the list of possible answers

Step-by-step explanation:

For this problem you are supposed to use a calculator that allows you to do an exponential regression. There are many tools that can help you with that, depending on what your instructors has assigned for your class.

I am showing you the results of a graphing tool I use, and which after entering the x-values and the y-values in independent "List" forms, when I request the exponential regression to fit the data, I get what you can see in the attached image.

Notice that the exponential of best fit with my calculator comes in the form:

y=A\,e^{k\, x}

with optimized parameters:

A \approx 6.6114\,\,\,and\,\,\, k=0.4378321

Notice as well that since:

e^{0.4378321} \approx 1.5490

the exponential best fit can also be written:

y=6.611403\,\,*\,e^{0.4378321\, x}=6.611403\,*\,1.549^{\,x}

and this expression is very close to the last option shown in your list of possible answers

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Patrick is driving form Sydney to Canberra. He travels for 288km trip in 4 hours. What's his average speed?
nika2105 [10]

Answer:

v = 72 km/h

Step-by-step explanation:

Given that,

The distance covered by the Patrick, d = 288 km

Time taken, t = 4 hours

We need to find the average speed of Patrick. We know that the average speed of an object is equal to the total distance covered divided by total time taken. Let it is v. So,

v=\dfrac{d}{t}\\\\v=\dfrac{288\ km}{4\ h}\\\\v=72\ km/h

So, his average speed is equal to 72 km/h.

3 0
3 years ago
What is the solution set for 2f ≤ 2?
Firlakuza [10]

Answer:

f ≤ 1

Step-by-step explanation:

I hope this helps, I got a few people to help me and really only remembered the answer so sorry I can't teach you much but I have the answer

6 0
3 years ago
When y=7.5 x=2 what is the value of y when x is 2 1/4
swat32
<h2>Answer:</h2>

The value of y is 8.4375

<h2>Step-by-step explanation:</h2><h3>Known :</h3>
  • y = 7.5
  • x = 2

<h3>Asked :</h3>
  • The value of y when x is 2.25

<h3>Solution :</h3>

2/7.5 = 2.25/y

Do a cross multiplication,

2/7.5 = 2.25/y

=> 20/75 = 2.25/y

=> 75 . 2.25 = 20y

=> 168.75 = 20y

Reverse the equation,

168.75 = 20y

=> 20y = 168.75

Find the value of y,

20y = 168.75

=> y = 8.4375

<h3>Conclusion :</h3>

y = 8.4375

7 0
3 years ago
Does this graph show a function? Explain how you know.
beks73 [17]

Answer:

No, the graph fails the vertical line test

Step-by-step explanation:

To determine if the graph is a function, we can use the vertical line test.

Use a vertical line, if the vertical passes through two or more points, the graph is not a function

Looking at the y axis ( which is a vertical line), it passes through two points

This means the graph is not a function

No, the graph fails the vertical line test

5 0
2 years ago
Given that<br> 5x:9=8:3<br> Calculate the value of x<br> Give your answer in its simplest form.
lbvjy [14]

Answer:

24/5

Step-by-step explanation:

5x : 9

(8 : 3)×3

5x : 9

24 : 9

5x = 24

x = 24/5 = 4/4/5

8 0
2 years ago
Read 2 more answers
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