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adell [148]
3 years ago
6

Sonya and Isaac are in motorboats located at the center of a lake. At time t=0, Sonya begins traveling south at a speed of 36 mp

h. At the same time, Isaac takes off, heading east at a speed of 27mph. How fast is the distance between them changing after 12 minutes?
Mathematics
1 answer:
Rashid [163]3 years ago
6 0

Answer:

the speed btn sonya and issac would make a right angled trangle hence easy 2 solve through pythogoras

{36}^{2}  +  {27}^{2}  = 2025

then find the

\sqrt[?]{?}

hence get 45

since it was 12 mins we need 2 multiply by 12

hence

45 \times 12 = 540

Therefore it's 540mph

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5 0
3 years ago
Find the linear regression equation for the transformed data. x=1,2,3,4,5 y=13,19,37,91,253 log y=1.114,1.279,1.568,1.959,2,403
Talja [164]

Answer:

The answer is OPTION (D)log(y)=0.326x+0.687

<h2>Linear regression:</h2>

It is a linear model, e.g. a model that assumes a linear relationship between the input variables (x) and the single output variable (y)

The Linear regression equation for the transformed data:

We transform the predictor (x) values only. We transform the response (y) values only. We transform both the predictor (x) values and response (y) values.

(1, 13) 1.114

(2, 19) 1.279

(3, 37) 1.568

(4, 91) 1.959

(5, 253) 2.403

X            Y           Log(y)

1              13           1.114

2             19         1.740

3             37        2.543

4             91        3.381

5            253      4.226

Sum of X = 15

Sum of Y = 8.323

Mean X = 3

Mean Y = 1.6646

Sum of squares (SSX) = 10

Sum of products (SP) = 3.258

Regression Equation = ŷ = bX + a

b = SP/SSX = 3.26/10 = 0.3258

a = MY - bMX = 1.66 - (0.33*3) = 0.6872

ŷ = 0.3258X + 0.6872

The graph is plotted below:

The linear regression equation is  log(y)=0.326x+0.687

Learn more about Linear regression equation here:

brainly.com/question/3532703

#SPJ10

6 0
1 year ago
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kati45 [8]

Answer:

I believe your answer is -i

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Answer:

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A=1/4 and b=6.<br><br> −8ab=
podryga [215]

Answer:

When a=\frac{1}{4} and b=6:

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-8ab can be seen as -8×a×b. Insert the given values:

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Simplify multiplication from left to right:

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Insert and solve:

-2*6=-12

:Done

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