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polet [3.4K]
4 years ago
12

F(x)=2+3cosπ10(x−3)Find f(47).

Mathematics
2 answers:
Illusion [34]4 years ago
7 0
  f(x) = 2 + 3cos(10π(x - 3))
f(47) = 2 + 3cos(10(3.14)(47 - 3))
f(47) = 2 + 3cos(31.4(45))
f(47) = 2 + 3cos(1413)
f(47) = 2 + 3(0.891006524)
f(47) = 2 + 2.673019573
f(47) = 4.673019573
Marina CMI [18]4 years ago
7 0
F(x) = 2 + 3cos(10π(x - 3))
f(47) = 2 + 3cos(10(3.14)(47 - 3))
f(47) = 2 + 3cos(31.4(45))
f(47) = 2 + 3cos(1413)
f(47) = 2 + 3(0.891006524)
f(47) = 2 + 2.673019573
<span>f(47) = 4.673019573 
is the right awnser </span>
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Answer:

Let width = w

length = 4w/3

Area = 432 = length*width = w*4w/3

4w^2/3 = 432

w^2 = 432*3/4 = 324

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so the width of the cake pan is 18 inches.

4 0
3 years ago
Use the regression calculator to compare the teams’ number of runs with their number of wins. a 2-column table with 9 rows. colu
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The equation of the trend line is ŷ = 0.15x - 23.21

<h3>How to determine the average rate of change of the trend line?</h3>

The points are given as:

hr =>808, 768, 655, 684, 637, 619, 613, 609, 563

w =>  93, 94, 66, 81, 86, 75, 61, 69, 55.

Using a graphing calculator, we have the following calculation summary:

  • Sum of X = 5956
  • Sum of Y = 680
  • Mean X = 661.7778
  • Mean Y = 75.5556
  • Sum of squares (SSX) = 50569.5556
  • Sum of products (SP) = 7547.1111

The regression equation is represented as:

ŷ = bX + a

Where:

b = SP/SSX

b = 7547.11/50569.56

b = 0.14924

a = MY - bMX

a = 75.56 - (0.15*661.78)

a  = -23.20961

This gives

ŷ = 0.14924X - 23.20961

Approximate

ŷ = 0.15x - 23.21

Hence, the equation of the trend line is ŷ = 0.15x - 23.21

Read more about trend lines at:

brainly.com/question/2589459

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2 years ago
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At Whole foods they mix two kinds of nuts: peanuts which cost $2.50 per kilogram and walnuts which cost $4.50 per kilogram how m
Allushta [10]

Answer: 37 kilograms of walnuts should be mixed.

Step-by-step explanation:

Let x represent the number of kilograms of peanuts needed to make the mixture.

Let y represent the number of kilograms of walnut needed to make the mixture.

The mixture to be made is 100 kg. It means that

x + y = 100

The worth of the mixture is $3.24 per kilogram. It means that the total worth of the mixture is

3.24 × 100 = $324

peanuts cost $2.50 per kilogram and walnuts cost $4.50 per kilogram. It means that

2.5x + 4.5y = 324- - - - - - - - - -1

Substituting x = 100 - y into equation 1, it becomes

2.5(100 - y) + 4.5y = 324

250 - 2.5y + 4.5y = 324

- 2.5y + 4.5y = 324 - 250

2y = 74

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x = 100 - y = 100 - 37

x = 63

3 0
4 years ago
Add _____ to each side x2 – 8x = 9 to complete the square.
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Answer:

The correct answer is 25

Step-by-step explanation:

It is given a quadratic equation,

x² – 8x = 9

<u>To find the number to be added</u>

The given equation be  x² – 8x = 9

here we have to add (b/2)² -  the square of half the coefficient of x,

Here b = -8

(b/2)² = (-8/2)² = -4² = 16

Add both side with 16

x² – 8x + 16  = 9 + 16

(x - 4)² = 25

(x - 4)² = 5²

3 0
3 years ago
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