Ask question

Ask question

All categories

2 years ago

5

1. Find the exponential model of best fit for the points (−3,5),(1,12),(5,72),(7,137). Explain how you got your answer. Round va

lues to the nearest hundredth.

1 answer:

dedylja [7]2 years ago

3 0

Answer:

$y=11.93\cdot (1.42)^x.$

Step-by-step explanation:

Find the exponential model of best fit for the points (−3,5), (1,12), (5,72), (7,137) as a function

$y=a\cdot b^x.$

Use the graphing calculator to plot points on the coordinate plane and connect them by a line that is the graph of the exponential function

$y=11.93\cdot (1.42)^x.$

You can find a and b substituting coordinates of the points (−3,5) and (7,137) into the equation $y=a\cdot b^x:$

$5=a\cdot b^{-3},\\ \\137=a\cdot b^7.$

Then

$\dfrac{137}{5}=\dfrac{ab^7}{ab^{-3}}=b^{10},\\ \\b=\sqrt[10]{27,4}\approx 1.42.$

Then $a=5b^3=5\cdot (1.42)^3\approx 11.93.$

You might be interested in

1. Mr. Villa bought 91.25 inches of plastic labeling tape. He will use 1.25 inches long to label each.How many labels can he mak

Cloud [144]

1.25x=91.25 now solve for x and we get x=73 so Mr. Villa can do 73 labels

5 0

2 years ago

In 4 years, Harry’s age will be the same as Jim’s age is now. In 2 years, Jim will be twice as old as Harry will be. Find their

ololo11 [35]

Jim is 6 / Harry is 2

In 4 years Harry will be 6
In 2 years Jim will be 8 and Harry will be 4 which is twice as much Harry's age.

hope this helps!

5 0

2 years ago

Read 2 more answers

In the data set below what is the mean absolute deviation 41,56,38,45,55,51,52

saveliy_v [14]

All of these numbers are making me crazy

8 0

1 year ago

Sadie simplified the expression StartRoot 54 a Superscript 7 b cubed EndRoot, where a greater-than-or-equal-to 0, as shown colon

Nadusha1986 [10]

Answer:

Sadie's error is " she made error in step 2 $=\sqrt{3^2\times 6\times a^2\times a^5\times b^2\times b}$ where $a\geqslant 0$ "

Because she made error in splitting the powers to simplify the square root

<h3>Therefore the correct answer for Sadie's expression is $3ab\sqrt{6ab}$ where $a\geqslant 0$ </h3>

Step-by-step explanation:

Given that " Sadie simplified the expression StartRoot 54 a Superscript 7 b cubed EndRoot, where a greater-than-or-equal-to 0, "

It can be written as $\sqrt{54a^7b^3}$ where $a\geqslant 0$

The given expression is $\sqrt{54a^7b^3}$ where $a\geqslant 0$

To find Sadie's error and explain the correct answer :

Sadie's steps are

$\sqrt{54a^7b^3}$ where $a\geqslant 0$

$=\sqrt{3^2\times 6\times a^2\times a^5\times b^2\times b}$

$=3ab\sqrt{6a^5b}$

<h3> $\sqrt{54a^7b^3}=3ab\sqrt{6a^5b}$ where $a\geqslant 0$ </h3><h3><u>Now corrected steps are</u></h3>

$\sqrt{54a^7b^3}$ where $a≥0$

$=\sqrt{(9\times 6)(a^{6+1})(b^{2+1})$

$=\sqrt{(3^2\times 6)(a^6.a^1)(b^2.b^1)$ (by using the identity $a^{m+n}=a^m.a^n$

$=\sqrt{3^2\times 6\times ((a^3)^2.a)(b^2.b)$ (by using the identity $a^{mn}=(a^m)^n$ )

$=3ab\sqrt{6ab}$

Therefore $\sqrt{54a^7b^3}=3ab\sqrt{6ab}$ where $a\geqslant 0$

<h3>The correct answer is $3ab\sqrt{6ab}$ where $a\geqslant 0$ </h3>

Sadie's error is " she made error in step 2 $=\sqrt{3^2\times 6\times a^2\times a^5\times b^2\times b}$ " where $a\geqslant 0$

Because she made error in splitting the powers to simplify the square root

<h3>Therefore the correct answer for Sadie's expression is $3ab\sqrt{6ab}$ where $a\geqslant 0$ </h3>

5 0

1 year ago

Read 2 more answers

The equation |x − 8| = 3 represents the minimum and maximum percent of people in a survey who are undecided about an issue. What

icang [17]

| x - 8| = 3

x - 8 = 3 - (x - 8) = 3
x = 3 + 8 -x + 8 = 3
x = 11 -x = 3 - 8
-x = - 5
x = 5

Minimum : 5% Maximum : 11% if u need them added it is 16%

5 0

2 years ago

Read 2 more answers