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djverab [1.8K]
3 years ago
5

find the exponential model of best fit for the points (-3,5),(1,12),(5,72),(7,137). Explian how you got your answer. Round value

s to the nearest hundredth.

Mathematics
1 answer:
Alexandra [31]3 years ago
7 0
<h3>Answer:</h3>

f(x) = 11.93·1.42^x

<h3>Step-by-step explanation:</h3>

I entered the data into a graphing calculator and made use of its exponential regression function to find the coefficients of ...

... y = a·b^x

It told me ...

... a ≈ 11.9304, b ≈ 1.41885

In accordance with the problem statement, these values are rounded to hundredths to get the answer.

_____

<em>Comment on the graph</em>

The given points and two curves are show. The solid red curve is the exponential regression curve produced by the calculator. The dotted blue curve is the one you get when you round the numbers to the nearest hundredth.

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Solve the proportional<br> equation below:<br> x/4 = x-6/3
aleksandrvk [35]
<h2><u>PROPORTIONAL EQUATION</u></h2><h3>Exercise</h3>

Apply the means-extremes property of proportions: this allows you to cross multiply:

                \boxed{\mathsf{\dfrac{x}{4} = \dfrac{x - 6}{3}}}

\mathsf{\dfrac{x}{4} \searrow \dfrac{x - 6}{3}}      ‏‏‎      ‏‏‎‎      \mathsf{\dfrac{x}{4} \nearrow \dfrac{x-6}{3}}‏‏‎‎

             \boxed{\mathsf{3x = 4(x - 6)}}

Apply the distributive property:

\mathsf{3x = 4(x-6)}

\mathsf{3x = 4(x) - 4(6)}

\mathsf{3x = 4x - 24}

Add 24 to both sides:

\mathsf{3x + 24 = 4x - 24 + 24}

\mathsf{3x + 24 = 4x}

Substract 3x to both sides

\mathsf{3x - 3x + 24 = 4x - 3x}

\mathsf{24 = 4x - 3x}

\large{\boxed{\mathsf{24 = x}}}

‎      ‏‏‎

<h3><u>Answer</u>. The value of x = 24.</h3>

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8 0
2 years ago
I need help with this I don't understand this
Mandarinka [93]

Answer:

45.8

Step-by-step explanation:

We need to find the surface area for this entire figure!

We can see that this is a pyramid here - we must find the area of the 3 triangles and the base triangle at the bottom.

The 3 triangles building up the pyramid are all equal to each other.

To find the area of a triangle, use  Area = base*height/2

Area=3(\frac{5*7}{3} )+(\frac{5*4.3}{2})\\Area=35+10.75=45.75

Round to the nearest tenth: 45.75 -> 45.8

4 0
3 years ago
If your cell phone bill was 67 Point $82 and there is a 7.5% late fee how much will your bill be with the late fee included
Ivenika [448]

\frac{7.5}{100}  =  \frac{x}{82}  \\ x =  \frac{82 \times 7.5}{100}  =  \frac{615}{100 }  = 6.15
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the answer is $88.15
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3 years ago
An item is priced at $13.57. If the sales tax is 7%, what does the item cost including sales tax?
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Answer:

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5 0
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