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3 years ago

What is the exponential regression equation for the data set?

Mathematics

2 answers:

Inessa05 [86]3 years ago

4 0

Y^=323.905•0.875x because it is the correct answer

Vilka [71]3 years ago

3 0

Answer:

$y=323.905 \cdot 0.875^x$

Step-by-step explanation:

Given :

x y

14 45

16 45

18 33

20 26

20 16

25 14

26 9

Solution:

General form of equation : $y=AB^x$

Using the exponential regression calculator we get the output

A = 323.905

B = 0.875469

Substituting the values in the general form

$y=323.905 \cdot 0.875^x$

Hence Option C is correct.

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Please help me with my math problem 25 points for the step-by-step explanation.

Ghella [55]

Step-by-step explanation:

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5 0

3 years ago

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On a cold day, hailstones fall with a velocity of 2i − 6k m s−1 . If a cyclist travels through the hail at 10i m s−1 , what is t

Paraphin [41]

Answer:

The velocity of the hail relative to the cyclist is $V_{hc}=-8\hat{i}-6\hat{k}$

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Step-by-step explanation:

Given : On a cold day, hailstones fall with a velocity of $2\hat{i}-6\hat{k}\text{ m/s}$ . If a cyclist travels through the hail at $10\hat{i} \text{ m/s}$ .

To find : What is the velocity of the hail relative to the cyclist and At what angle are the hailstones falling relative to the cyclist?

Solution :

The velocity of the hailstone falls is $V_h=2\hat{i}-6\hat{k}\text{ m/s}$

The velocity of the cyclist travels through the hail is $V_c=10\hat{i} \text{ m/s}$

The velocity of the hail relative to the cyclist is given by,

$V_{hc}=V_h-V_c$

Substitute the value in the formula,

$V_{hc}=2\hat{i}-6\hat{k}-10\hat{i}$

$V_{hc}=-8\hat{i}-6\hat{k}$

So, The velocity of the hail relative to the cyclist is $V_{hc}=-8\hat{i}-6\hat{k}$

Now, The angle of hails falling relative to the cyclist is given by

$\theta = \tan^{-1}(\frac{-6}{-8})$

$\theta = \tan^{-1}(\frac{3}{4})$

$\theta = 36.86^\circ$

So, The angle at which hailstones falling relative to the cyclist is $\theta = 36.86^\circ$

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Answer:

Step-by-step explanation:

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