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bija089 [108]
3 years ago
5

What is the exponential regression equation that fits these data? x у 1 4 2 9 3 27 4 90 5 250 6 580 O A. y = 39.16x2 - 169.38x+

158.9 O B. y = 1.31(2.804) O C. y = 2.80(1.31") O D. y = 104.74x - 206.6​
Mathematics
1 answer:
Levart [38]3 years ago
8 0

Answer:

1.31(2.80)^x

Step-by-step explanation:

Given the data :

x : 1 2 3 4 5 6

y : 4 9 27 90 250 580

Using technology, the exponential regression data obtained by fitting the data is :

y = 1.31(2.80)^x

Where, y = predicted value

1.31 = Initial value

2.80 = growth fractor

x = period

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Answer:

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Step-by-step explanation:

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3 years ago
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The width of a rectangle is 4 inches greater than half the length. The perimeter is 56 inches. What is the length and the width
yulyashka [42]

Answer:

Length of the rectangle = 16 inches

Width of the rectangle = 12 inches

Step-by-step explanation:

Let the length of the rectangle be represented by x.

Then width can be expressed as \[\frac{x}{2}+4\]


Perimeter of a rectangle is the sum of four sides of the rectangle.

This can be expressed as 2*(length + breadth)

= \[2* (x + \frac{x}{2}+4)\]

= \[2* (\frac{3x}{2}+4)\]

= \[3x + 8\]

But perimeter is given as 56.

So, \[3x + 8 = 56\]


=> \[3x = 48\]

=> \[x = 16\]

Hence length of the rectangle = 16 inches

Width of the rectangle = \[\frac{16}{2}+4\] = 12 inches

7 0
3 years ago
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PLEASE HELP!!! The formula F =9/5 C + 32 expresses Fahrenheit temperature in terms of Celsius temperature. Find the Celsius temp
mrs_skeptik [129]

Answer:

The Celsius temperature is 5° when the Fahrenheit temperature is 41°.

Step-by-step explanation:

Given that:

F = \frac{9}{5}C + 32

Where,

F represents the temperature in Fahrenheit

C represents the temperature in Celsius

For calculating Celsius temperature from 41° Fahrenheit, we will put F=41 in given equation

41=\frac{9}{5}C+32

Subtracting 32 from both sides

41-32=\frac{9}{5}C+32-32\\9=\frac{9}{5}C

Multiplying both sides by 5/9

\frac{5}{9}*9=\frac{5}{9}*\frac{9}{5}C\\5=C\\

C = 5°

Hence,

The Celsius temperature is 5° when the Fahrenheit temperature is 41°.

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3 years ago
For the function, f(x) = -3x + 5.<br> If f(x) = -1, what is the value of x?
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Remember the f(x) is the same thing as y so...

y = -3x + 5

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To solve this plug -1 in for y in the equation y = -3x + 5 and solve for x

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-6 = -3x

2 = x

When f(x) is -1 then x is 2

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Express the complex number in trigonometric form. -2 (1 point)
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The complex number would turn into 2(cos -pi+i sin -pi)
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