How do I do I calculate the curve of best fit with the following data points given?

By definition, consider that natural numbers are all numbers from 1 to infinity. Whole numbers are the same natutal numbers plus zero. Integers are all numbers from minus infinity to infinity and rational are all number with finite decimals, and periodic infinite decimals.

Then, based on the previous description, the diagram which correctly shows the subsets of rational numbers is:

diagram F.

Given:

In 2010 the population was 5800.

2012 the population had dropped to 4,600.

Let 't=0' be the year 2010.

P(t) represents the year population of the town t years after 2010.

Slope of a function P(t) is

Population of town t years after 2010.

Population in the year 2016 that is t=6

Population in the year 2016 is 2200

Input data

The triangles created by the measurements of options A, B and D have specific side lengths. Therefore, you cannot create more than one triangle.

However, for a triangle with acute angles measuring 45° and 45°, a countless number of similar triangles (triangles with the same shape but different sizes) can be created.

The correct choice is C.

First We will put the number of toys per day in simple form:

Then, to know how many toys will be made in 9 days, let's multiply the number of toys per day by the given number of days:

Now We will put the number in scientific notation:

Background:

• Domain,: a set of all possible values of the independent variable (,x,, in this case).

• Range,: a set of all possible values of the dependent variable (,y,, in this case), after substituting the domain.

Based on the arrows of the function, we can conclude that those extend to infinity (negative and positive).

Also, based on the coordinates of the vertex given we can see that the first value of y is 4.

Answer:

• Domain

• Range

ANSWER

EXPLANATION

The surface area of the box (rectangular prism) is:

where L = length; W = width; H= height

Therefore, we have that the surface area of the box is:

The volume of the box is:

Therefore, the volume of the box is:

The simplified form of given expression 2n^3 y−8n^2 y/3y^4 * 12/n-4 is 8n^2/y^3

In this question, we have been given an expression.

2n^3 y−8n^2 y/3y^4 * 12/n-4

We need to simplify given expression.

2n^3 y − 8n^2 y/3y^4 * 12/n-4

= [2n^2y (n - 4)] / 3y^4  *  12/(n - 4)

= 4 * (2n^2y)/y^4

= 8n^2/y^3

Therefore, the simplified form of given expression 2n^3 y−8n^2 y/3y^4 * 12/n-4 is 8n^2/y^3

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According to the even and odd function rules, we found out that the function [tex]y=x^{3}-3[/tex] is neither even nor odd and the function [tex]y=2x^{3}-x[/tex] is an odd function.

It is given to us that the functions are -

B. [tex]y=x^{3}-3[/tex]

C. [tex]y=2x^{3}-x[/tex]

We want to determine each of the following functions is even, odd or neither.

To see if the function is even, we have to check if [tex]f(-x)=f(x)[/tex]

To see if the function is odd, we have to check if [tex]f(-x)=-f(x)[/tex]

B. Here, we have

[tex]y=x^{3}-3\\= > f(x)=x^{3}-3\\= > f(-x)=(-x)^{3}-3\\= > f(-x)=-x^{3}-3[/tex]

We see that [tex]f(-x)\neq f(x)[/tex]. This implies that the function is not even.

Also, [tex]f(-x)\neq -f(x)[/tex]. This implies that the function is not odd.

Therefore, this function is neither even nor odd.

C. Here, we have

[tex]y=2x^{3}-x\\= > f(x)=2x^{3}-x\\= > f(-x)=2(-x)^{3}-(-x)\\= > f(-x)=-2x^{3}+x[/tex]

We see that [tex]f(-x)\neq f(x)[/tex]. This implies that the function is not even.

However,

[tex]f(-x)=-2x^{3}+x\\= > f(-x)= -(2x^{3}-x)\\ = > f(-x)=-f(x)[/tex]

This implies that the function is odd.

Therefore, this function is odd.

Thus, the function [tex]y=x^{3}-3[/tex] is neither even nor odd and the function [tex]y=2x^{3}-x[/tex] is an odd function.

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The circumference of a circle is given by the formula:

Where d is the diameter of the circle.

If the circumference is 109.9 ft, we have:

So the diameter of the garden is 35 feet.

-27/9 = -3

answer is -3

To divide, subtract exponents to same base variables.

Multiply exponents of exponents

x= 6

y= 18

Recall that:

and that the domain of a rational function consists of all real numbers such that the denominator is different from zero.

If f(x)=5x+3 and g(x)=4x-5 we get that:

The domain of the above rational function is:

Answer: Last option.

Given data:

The given figure is shown.

The expression for the trapezium is,

Thus, thi

Answer:

Step-by-step explanation:

I hope this helps! :) If it does could you please mark me brainliest?

Answer:

Slope : -1

y = intercept : (0,31)

Step-by-step explanation:

Answer:

[tex]x - 3 = 13 \\ \\ x = 13 + 3 \\ \\ x = 16[/tex]

-3 goes to other side and changes into +3

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

total patients = 300

type A:

total patients = 90

favourable patients = 27

type B:

total patients = 124

favourable patients = 31

type AB:

total patients = 6

favourable patients = 6

type O:

total patients = 80

favourable patients = 0

Step 02:

empirical probability:

probability = favourable outcomes / total outcomes

probability (A) = 27/ 90 = 0.3

probability (B) = 31 / 124 = 0.25

probability (AB) = 6 / 6 = 1

probability (O) = 0 / 80 = 0

That is the full solution.

The area, to the nearest thousandth, of the standard normal distribution between the z-scores z= 1 and z= 1.9​ is 0.130

Step 1:

Write the formula for the equation of a circle.

Step 2:

Locate and write the center and radius of the circle.

Step 3:

Write the equation of the circle with center (-7, -2) and radius r = 2

Final answer

The standard deviation of a binomial distribution with n trials and a probability of success of p is given by the formula:

From the problem, we identify:

Then:

the lines that cross the centroid are divided into 2 by this the short line corresponds to 1/3 of the complete line and the long line corresponds to 2/3 of the complete line

so KH is 1/3 of DH

if KH=12, then

the value of DH is 36

The value of  sector KL is 52

If JM and KN are two diamters of the circle,

then they intersect at the center

The sector JK and NM are equal

Thus,

The sector JN and KM are also equal

sector KM = sector KL + sector LM

Sector JN = Sector KM

sector JN = sector KL + sector LM

125 =  6x + 4 + 8x + 9

125 = 14x + 13

14x = 125 - 13

14x = 112

x = 8

sector KL = 6x + 4

= 6(8) + 4 = 48 + 4 = 52

Therefore, the sector KL is 52

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In this problem

the distance traveled between the seconds t=1 and t=3 is given by

The answer is

Explanation of integrals

In this problem we have

substitute

Answer:

=====================

This gives us:

Answer:

[tex](x,y,z)=\left(\; \boxed{-1,7,-4} \; \right)\quad \textsf{(smaller $x$-value)}[/tex]

[tex](x,y,z)=\left(\; \boxed{1,-1,4} \; \right)\quad \textsf{(larger $x$-value)}[/tex]

Step-by-step explanation:

Given system of equations:

[tex]\begin{cases}x^2+z^2=17\\\;4x+y=3\\\;\;\;y+z=3\end{cases}[/tex]

To solve by the method of substitution, first rearrange the third equation to make y the subject:

[tex]\implies y=3-z[/tex]

Substitute this into the second equation and solve for z:

[tex]\begin{aligned}\implies 4x+(3-z)&=3\\3-z&=3-4x\\-z&=-4x\\z&=4x\end{aligned}[/tex]

Substitute the found expression for z into the first equation and solve for x:

[tex]\begin{aligned}\implies x^2+(4x)^2&=17\\x^2+16x^2&=17\\17x^2&=17\\x^2&=1\\x&=\pm1\end{aligned}[/tex]

Substitute the found values of x into the second equation and solve for y:

[tex]\begin{aligned}\implies x=-1 \implies 4(-1)+y&=3\\-4+y&=3\\y&=7\end{aligned}[/tex]

[tex]\begin{aligned}\implies x=1 \implies 4(1)+y&=3\\4+y&=3\\y&=-1\end{aligned}[/tex]

Substitute the found values of x into the derived expression for z and solve for z:

[tex]\begin{aligned}\implies x=-1 \implies z&=4(-1)\\z&=-4\end{aligned}[/tex]

[tex]\begin{aligned}\implies x=1 \implies z&=4(1)\\z&=4\end{aligned}[/tex]

Therefore, the solutions are:

[tex](x,y,z)=\left(\; \boxed{-1,7,-4} \; \right)\quad \textsf{(smaller $x$-value)}[/tex]

[tex](x,y,z)=\left(\; \boxed{1,-1,4} \; \right)\quad \textsf{(larger $x$-value)}[/tex]

We must calculate the weighted average as follows:

Therefore, the average speed is 85.68 km/h

to solve this we need to translate into math terms, so

Step 1

a) let d represents the number of dimes

let n represents the number of nickles

so

re write the expressions

The number of nickels is three more than seven times the number of dimes in other words you have to add 7 to seven times the number of dimes to obtain the number of nickles

hence

therefore , the expression for the number of nickles is

I hope this helps you

Okay, here we have this:

Considering the provided information, and that we must identify which of the provided options allow us to determine that the two triangles are similar, we obtain the following:

As the angle-angle similarity says that if two angles of one triangle are congruent with two angles of another triangle, then the triangles are similar.

Finally, we see that the only option that satisfies this statement is option D, since it indicates that two angles of the triangles are congruent. Therefore the correct option is D.

Step 1

Plot the graph of f(x)

Step 2

The function of g(x) suggests that f(x);

Thus, the graph of g(x) will look like this;

Answer;

Given:

The height equation is,

Explanation:

For maximum/minimum of a function, the first derivative of function is 0.

Differentiate the function with respect to x.

For maximum and minimum,

So rocket reach it maximum height after 4.5 seconds of launch.

Substitute 4.5 for t in the equation to determine the maximum reached by rocket.

So maximum height of rocket is 330 feet.