Construct a scatterplot and identify the mathematical model that best fits the data. Assume that the model is to be used only for the scope of the given data and consider only linear, quadratic, logarithmic, exponential, and power models. Use a calculator or computer to obtain the regression equation of the model that best fits the data. You may need to fit several models and compare the values of R2.


y = –477.38 + 237.66 ln x


y = –109.41 + 14.59x


y = 11.46 e1.107x


y = 0.45x1.903

Answer:

1) Not Similar. 2/6 does not equal 6\12

2) Yes. 5/3 = 15/9

3)Yes. 10/30=8/24

4) Not Similar. 13/16 does not equal 16/21.

5) Not Similar. 28/48 and 42/36 do not reduce to the same value.

6)No. The angles are not the same.

Step-by-step explanation:

Ask yourself, is it proportional? Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.

In other words, ifthe corresponding sides reduce down to the same value, they are similar.

Answer:

-3.5

Step-by-step explanation:

As there was a total change of -21, that would be the first part of your equation:

-21

As 6 hours had passed and you are trying to find the mean, your equation would now be:

-21 ÷ 6 = ?

Now you can solve the equation, and the answer is -3.5°F per hour.

The mean change in temperature per hour is -3.5 °F.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

The total change in the outdoor temperature over 6 hours was -21°F

So, in one hour the mean change in temperature

= -21/6

= -3.5 °F

Hence, the mean change in temperature per hour is -3.5 °F.

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Answer:

Step-by-step explanation:

5x10

Answer:

a. 0.335

b. 41.2

c. 0.736

d.0.006132

Step-by-step explanation:

Its simple math, how to explain it more. When dividing with ten you always delete or add one zero

Answer:

a, 0.35 b, 41.2 c, 0.736 d, 6.132

Step-by-step explanation:

Answer:

Derions answer is not correct becuase 500 x 0.015=7.5 inches.  If he got this as an answer that would meen that the stack of paper is 7.5 inches tall, which is not correct.  

If we divide 1.875 by 500 we get 0.00375 which is the thickness of each sheet of paper.

Answer:

I think the answer is 13

Step-by-step explanation:

Answer:

If there are 50 dimes, then that equals to 5 dollars (or $5), and the product of 8 and 9 is 72.

Step-by-step explanation:

8×9=72.

50 dimes = $5.

Answer:

just keep adding 4. for 3 miles, 12 minutes, 4 miles, 16 minutes, etc.

Step-by-step explanation:

Answer:96

Step-by-step explanation:

H=Jx12. So, multiply 8 by 12 to get 96

Its C  because  3 1/2 is grater than -5.1 because it is negative

The inequality is −5.1 + d > 3 1/2 which represents the situation, where d represents the distance Veronica drove.

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

Veronica lives on a straight road that goes east and west.

Let d represents the distance Veronica drove.

She started from a point 5.1 miles west of her home and drives a certain distance to the store.  

So, she drives:

−5.1 + d

The store is more than  4 1/2 miles east of her home.

Therefore, the inequality that represents the situation is as follows:

−5.1 + d > 3 1/2

Hence, the correct answer would be an option (C).

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Answer:

1000000000000

Step-by-step explanation:

1000000x1000000=1000000000000

The solution of the expression 1000000 x 1000000 in exponential form is  [tex]10^{12}[/tex].

A collection of constants, variables connected using one or more arithmetic operator is called an expression.

Example = 4y, 3x+4.

The way of writing or expressing a number in powers is called exponent.

Example: [tex]3^2[/tex]

Here, 3 is the base and 3 is the power.

The given expression can be written in the index  or exponential form as:

1000000 x 1000000 = [tex]10^6 \times 10^6[/tex]

Since, the given exponent has the same base.

So, using the law of exponent, it can be written as:

[tex]a^m + a^n = a^{(m+n)[/tex]

[tex]10^6 \times 10^6 = 10^{(6+6)}[/tex]

                  = [tex]10 ^{12}[/tex]

Thus, the solution of the expression 1000000 x 1000000 in exponential form is [tex]10^{12}[/tex].

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Answer:

I and IV... ig (:

Answer:

its a rational number

Step-by-step explanation:

since its not repeating and its not an unsolvable root or pie

Step-by-step explanation:

given,

dollars saved by Sam = 6x + 8

dollars saved by Teresa = 14x + 32

total money = $220

a/q

money saved by,

sam + Teresa = $220

so,

6x + 8 + 14x + 32 = 220

20x + 40 = 220

20x = 220 - 40 = 180

x = 180/20 = 9

x = 9

now,

money saved by,

Sam = 6x + 8 = 6(9) + 8 = $62

Teresa = 14x + 32 = 14(9) + 32 = $158

therefore,

money individually saved by Sam is $62 and by Teresa $158.

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE

............................

Answer:

10,11,aquarium

Step-by-step explanation:

When we multiply powers with the same base, we add the powers together. This will give us:

[tex]\frac{3^8*3^4}{3^2 * 3^8} \\\frac{3^{12} }{3^{10}}\\[/tex]

When we divide the fractions with the same base then we subtract the exponents:

3^12 / 3^10 = 3^12-10 = 3^2

I hope this helps! :)

Answer:

3 cups of seeds and 2 tablespoons of maple syrup

-OR-

6 cups of seeds and 4 tablespoons of maple syrup

Step-by-step explanation:

As this is a ratio of 9:6: "for every 9 cups of seeds, there is 6 tablespoons of maple syrup"

The original ratio is 3:2 "for every 3 cups of seeds, there is 2 tablespoons of maple syrup"

Using this ratio, we can infer that 3:2 or 6:4 would be a simpler answer for this problem. If there is doubt, it would be better to use 3:2 as it is the smallest ratio.

Answer:

(4,1)

Step-by-step explanation:

y=4

x=1

this is not my cup of tea but I'm pretty sure this is the answer

Answer:

4

Step-by-step explanation:

Do this the same way as the last time you had this type of problem.

The indicated point is (1, 4)

constant of proportionality

y/k = 4/1

y/x = 4

Answer:

-10.8

-11/2

1/3

4

|-8|

Step-by-step explanation:

-11/2 = -5.5

1/3 = 0.33

|-8| = 8

Answer:

(d) 12

Step-by-step explanation:

Answer:

the answer is D

Step-by-step explanation:

Answer: 3/4 is the answer

Step-by-step explanation:

When x is 2, y is 1.5 and when x is 4, y is 3. So, 1.5 is 3/4 of 2 and 3 is obviously 3/4 of 4.

Answer:

Step-by-step explanation:

First change 4 3/10 to 4.3. Then you change 4.3 + -6.2 to 4.3 - 6.2.

Then you do 4.3 - 6.2 and you should get - 1.9.

Answer:

The answer is (-1.9)

Step-by-step explanation:

4 3/10 = 4 × 10 + 3/10 = 43/10 = 4.3

Now,

4.3 - 6.2 = -1.9

Thus, The answer is (-1.9)

-TheUnknownScientist 72

Answer:

(4,5) , (5,8)

Step-by-step explanation:

Answer:

length= 35 feet and width= 10 feet

Step-by-step explanation:

You are given the perimeter of the rectangular deck is

90 feet.

2 x length + 2 x width = 90 You are also given that the deck's length is 5 feet less than 4 times it's width. That is length = 4 x width - 5

Those two equations are your system of linear equations. The second equation can be plugged into the first equation. This gives us an equation entirely in terms of width.  

2x (4 x width - 5) + 2 x width =90

Distribute the 2 though

8 x width - 10 + 2 x width = 90

Combine like terms with width.

10 x width - 10 = 90

Add 10 to both sides.

10 x width = 100

Divide both sides by 10 width = 100

Now you can plug width into your original equation for length above. Recall: length = 4 x width - 5

Length = 4 x 10 - 5

Length = 40 - 5

Length = 35