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strojnjashka [21]
3 years ago
8

Find the rate of change on the graph​

Mathematics
2 answers:
Zanzabum3 years ago
6 0

Answer:

  • 44 4/9

Step-by-step explanation:

Initial value is $400

Value after 9 years is zero

Change in value over 9 years is $400

<u>Rate of change is:</u>

  • 400/9 = 44 4/9
jeka57 [31]3 years ago
3 0

Answer:

Resale value of a refrigerator

The rate of change on the graph :---

(Final amount - initial amount)/(Final year - initial year)

\frac{(0 -400)}{(9 - 0)}  =  \frac{-400}{9} =\boxed{-44.44}✓\\

slope is negative as the amount is decreasing every year

<h3><u>$</u><u>44.44</u><u> </u><u>per</u><u> </u><u>year</u> is the right answer.</h3>
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Examine the data below for a stalk of corn. Logarithmic regression Use logarithmic regression to find an equation of the form y
masya89 [10]

The value of <em>a</em> and <em>b</em> for the data values of stalk of corn using the logarithmic regression is -76.2038 and 37.6735 respectively.

<h3>What is logarithmic regression?</h3>

Logarithmic regression is a type of regression which is used to model the statement in which the growth or decay initially at rapid rate, and then slow down with respect to time.

The data of the table for the day and height of the stalk of corn is listed below.

Day (<em>x</em>)                9    12    22    40    

Height (<em>y</em>) in        5    17    45    60  

Mean of x values,

m_x=\dfrac{9+12+22+40}{4}\\m_x=17.5581

Mean of y values,

m_y=\dfrac{5+17+45+60}{4}\\m_y=31.75

For the above table, the value of correlation coefficient is 0.99133. For these values, the logarithmic regression can be given as,

y = -76.2038+37.6735\ln(x)

Compare it with the following logarithmic regression equation, we get

y = a+b\ln(x)

a=-76.2038\\b=37.6735

Hence, the value of <em>a</em> and <em>b</em> for the data values of stalk of corn using the logarithmic regression is -76.2038 and 37.6735 respectively.

Learn more about the logarithmic regression here;

brainly.com/question/25226042

5 0
2 years ago
A package of 8 pens costs $1.09. Milo’s work to find the unit price of the pack is shown below.
deff fn [24]
The unit price per pen is $0.14.

Explanation :
You simply divide the total by the quantity.
$1.09/8= 0.13625.
Since this has to do with money you round to the nearest hundredth to get $0.14.
8 0
2 years ago
Read 2 more answers
Select the correct answer.
Setler79 [48]

Answer:

A. 2·x² + 16·x + 32 ≥ 254

Step-by-step explanation:

The given dimensional relationship between the dimensions of the photo in the center of the cake and the dimensions of the cake are

The width of the cake = The width of the photo at the center of the cake, x + 4 inches

The length of the cake = 2 × The width of the cake

The area of the cake Wanda is working on ≥ 254 in.²

Where 'x' represents the width of the photo (at the center of the cake), let 'W' represent the width of the cake, let 'L' represent the length of the cake, we get;

W = x + 4

L = 2 × W

Area of the cake, A = W × L ≥ 254

∴ A = (x + 4) × 2 × (x + 4) = 2·x² + 16·x + 32 ≥ 254

The inequality representing the solution is therefore;

2·x² + 16·x + 32 ≥ 254

3 0
3 years ago
A cereal box has a height of 32 centimeters. it has a base with an area of 160-square centimeters. What is the volume,in cubic c
lutik1710 [3]
Volume=legnth times widht times height
legnth times width=area of base
so
volume=area of base times height for a prism

area of base=160
height=32
volume=160 times 32
volume=5120


volume is 5120 cubic centimeters or
5120 cm^3
3 0
3 years ago
The square of a number, x, is 16 less than eight times the number. What is the number? Type the correct answer in the box. Use n
liraira [26]

Given :

The square of a number, x, is 16 less than eight times the number.

To Find :

The value of x .

Solution :

The mathematical equation with all given data is :

x^2=8x-16\\\\x^2-8x+16=0\\\\x^2-4x-4x+16=0\\\\x(x-4)-4(x-4)=0\\\\(x-4)^2=0\\\\x=4

Therefore , the value of x is 4 .

Hence , this is the required solution .

3 0
3 years ago
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