using demos find the line of best fit to compare fat (x) and the calories(y) from the table pictured. round to the nearest hundredth (2 decimal places if needed

A) To do that we will draw a line inside the triangle that is perpendicular to the base as I have don above.

B) We will also do the same for B

we have the formula

substitute given values

Remember that

To divide complex numbers, multiply both the numerator and denominator by the conjugate of the denominator

the conjugate of the denominator is (-5-3i)

so

Given:

The data set of the monthly rent paid by 7 tenants

990, 879, 940, 1010, 950, 920, 1430

We will find the mean of the data:

Mean = Sum/n

n = 7

Sum = 990+879+940+1010+950+920+1430 = 7119

Mean = 7119/7 = $1017

One of the tenants change from 1430 to 1115

The mean after the change will be as follows:

Sum = 990+879+940+1010+950+920+1115 = 6804

n = 7

Mean = 6804/7 = 972

So, the answer will be:

Mean before the change = 1017

Mean after the change = 972

Problem

8 ( 11 - 2b ) = -4 ( 4b - 22 )

Solution

We can distribute the terms in the equation and we got:

88 -16b = -16b +88

If we add 16b in boh sides we got:

88 =88

Then for this case we can conclude that this equation has infinite solutions

well, what's 40% of 20?

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{40\% of 20}}{\left( \cfrac{40}{100} \right)20}\implies 8[/tex]

Given the polynomials, let's simplify the polynomials and label them.

Polynomial 1:

After simplifying, we have the simplified form:

Since the highest degree is 2, this is a quadratic polynomial.

It has 3 terms, therefore by number of terms it is a trinomial.

Polynomial 2:

Simplified form:

The highest degree is 1, therefore it is linear

It has 2 terms, therefore by number of terms it is a binomial

Polynomial 3:

Simplified form:

The highest degree is 0 since it has no variable, therefore it is a constant.

It has 1 term, by number of terms it is a monomial.

ANSWER:

Polynomial Simplified form Name by degree Name by nos. of ter

1 6x²-x-1 quadratic Trinomial

2 3x + 4 Linear Binomial

3 2 Constant Monomial

This is a problem about combinations where the order doesn't matter. The solution is usually written as 7C2 (seven choose two) and has the value

Comment: 7C2 is the answer to the question "How many pairs (in our case, these pairs are seen as games played) can we form from a group of 7 things?".

Answer:

Statement 1. AB/DB = CB/EB

Reason 1: Given

Statement 2: ∠ABC = ∠BDE

Reason 2: Vertical angles

Statement 3: ∆ABC~∆DBE

Reason 3: SAS (side - angle - side)

Explanation:

It is given that AB/DB = CB/EB. So, we can say that the ratio of side AB to DB is equal to the ratio of side CB to EB. This made these sides similar.

Additionally, ∠ABC and ∠BDE are vertical angles because they are opposite angles formed when two lines intersect. Vertical angles have the same measure so, ∠ABC = ∠BDE.

Now, we can say that the triangles ABC and DBE are similar by SAS (Side-Angle-Side). Because two sides are similar and the angle between them is congruent.

Therefore, the answer is

Statement 1. AB/DB = CB/EB

Reason 1: Given

Statement 2: ∠ABC = ∠BDE

Reason 2: Vertical angles

Statement 3: ∆ABC~∆DBE

Reason 3: SAS (side - angle - side)

With the points (8. 4) (-6, -6) (-10, 12) (2,-4). What are the new points if the

scale factor of dilation is X?

we know that

The rule of the dilation of a point is equal to

(x,y) -------> (ax, ay)

with a scale factor a

so

In this problem

the scale factor is x

therefore

(8. 4) --------> (8x. 4x)

The sum of all the angles in a triangle is always 180°.

We can write the equation and solve for the missing angle:

Solving for x:

The measure of the unknown angle is 72 degrees.

a) Since we are interested in the number of TVs that can be sold at $400, we need to use the Demand model equation and set p=400; thus,

The answer to part a) is 20 TVs per week.

b) Set N=N, then

Therefore, using p=300 and solving for N,

The answer to part b) is 720 TVs per week.

c) In part b), we found that when supply and demand are equal, p=300. Thus, the answer to part c) is $300

By means of the area formula for a square, the square has an area of 4 / 49 square meters (approx. 0.0816 square meters).

Herein we find a representation of a solid square in the figure, whose side length measure (l), in meters, is known, and whose area (A), in square meters, has to be found. Dimensionally speaking, the area unit is the square of length unit.  

The area formula of the square is shown below:

A = l²

If we know that the side length of the square has a measure of 2 / 7 meters (l = 2 / 7 m), then the area of the triangle is equal to:

A = (2 / 7 m)²

A = 4 / 49 m²

A ≈ 0.0816 m²

The area of the square is 4 / 49 square meters (approx. 0.0816 square meters).

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(a + 15) •2

Multiply each term in the parentheses by 2

a*2 + 15*2

2a + 30

SOLUTION

We want to solve for v in

This means we should make v the subject, that is make it stand alone. This becomes

Next, we divide both sides by m, we have

Lastly, we square root both sides we have

Hence the answer is

Solution

- The constant being asked for is the slope of the graph.

- The formula for finding the slope of a graph is:

- The points on the graph that we will use are:

- Thus, we can find the constant as follows:

Final Answer

The constant(slope) is 1.5 (OPTION D)

Given statement:

20 is the same as the sum of 4 and g

Let us break down the statement into parts and then write the equation

the sum of 4 and g:

This sum is equal to 20:

Hence, the equation is:

Solving for the variable:

Answer Summary

SOLUTION

We want to tell the graph that represents the function

The graph of this function is shown below

Comparing this to what we have in the options,

we can see that the correct answer is option D

ANSWER:

- 10

STEP-BY-STEP EXPLANATION:

We have the following expression

We know that when dividing from, the nvert-and-multiply rule must be applied, as follows

Therefore the result of the operation is -10

The given equation corresponds to a parabola:

The y-intercept of the parabola is the point when it crosses the y-axis, at this point x=0, to determine this value you have to replace the formula with x=0 and calculate the value of y:

Solve the exponent first, then the multiplication

The y-intercept for the given function is (0,-18)

Given:

Edges of the polyhedron, E = 10

Vertices, V = 5

A polyhedron is a three-dimensional figure.

Let's find the number of faces using Euler's formula.

To find the number of faces of the polyhedron, we have the Euler's formula:

V + F - E = 2

Substitute values into the formula:

5 + F - 10 = 2

Combine like terms:

F + 5 - 10 = 2

F - 5 = 2

Add 5 to both sides:

F - 5 + 5 = 2 + 5

F = 7

Therefore, the number of faces of the polyhedron is 7

ANSWER:

7 faces

1) As the Domain is the set of inputs (x) for that function, as we can see in the graph.

There's one point in the graph x =8, where should be an asymptote i.e. a vertical or horizontal line that prevents both graphs do not trespass.

So we can write the Domain as

D =(-∞, 8) U (8, ∞)

Because in this function, the point x=8 is not included, and from point 8 on the function continues.

The polynomial that represents the rollercoaster, using the Factor Theorem, is given as follows:

y = 400(x - 1)²(x + 1)(x² + 0.1)(x + 5).

The Factor Theorem states that a polynomial function with zeros [tex]x_1, x_2, \codts, x_n[/tex], also represented by factors [tex]x - x_1, x - x_2, \cdots x - x_n[/tex] is given by the rule presented as follows:

[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]

In which a is the leading coefficient of the polynomial function with the given roots.

For this problem, the requirements are as follows:

The roots will be given as follows:

Hence the function is:

y = a(x - 1)²(x + 1)(x² + 0.1)(x + 5).

At x = 0, the function assumes a value of 250, hence the leading coefficient is obtained as follows:

0.5a = 200.

a = 400.

Thus the function is:

y = 400(x - 1)²(x + 1)(x² + 0.1)(x + 5).

Which has the desired features, as shown by the image at the end of the answer.

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The area enclosed by y² = 8 - x and (y + 1)² = −3 + x is 243.

We are given y² = 8 - x and (y + 1)² = −3 + x.

To sketch and calculate the area enclosed, find the intersection points:

y² = 8 - x ⇒ x = 8 - y²

Substitute x = 8 - y² in (y + 1)² = −3 + x:

(y + 1)² = −3 + 8 - y²

y² + 2y + 1 = −3 + 8 - y²

2y² + 2y - 4 = 0

y² + y - 2 = 0

(y - 1) (y + 2) = 0

y = 1, -2

Substitute y = 1, -2 in x = 8 - y²:

When y = 1, x = 8 - (1) ⇒ x = 7

When y = -2,  x = 8 - (-2)² ⇒ x = 4

Thus, the point of intersection is (4, -2) and (7, 1).

Graph of the region enclosed by y² = 8 - x and (y + 1)² = −3 + x:

The area of the enclosed region is given by:

A = [tex]\int \, \int \,dA[/tex]

[tex]=\int\limits^7_{-2} \, \int\limits^{3+ (y+1)^{2} } _{8 - y^{2} } \, dxdy[/tex]

[tex]=\int\limits^7_{-2} \, (x)^{3+ (y+1)^{2} } _{8 - y^{2} } \, dy[/tex]

[tex]=\int\limits^7_{-2} \, [{(3+ (y+1)^{2} )} -({8 - y^{2} })] \, dy[/tex]

[tex]=\int\limits^7_{-2} \, {(2 y^{2} + 2y -4) } \, dy[/tex]

[tex]=(\frac{2y^3}{3} + \frac{2y^2}{2} -4y)^7_{-2}[/tex]

[tex]=\frac{686}{3} + 49 - 28 + \frac{16}{3} - 4 - 8[/tex]

= 343

Hence, the area enclosed by y² = 8 - x and (y + 1)² = −3 + x is 243.

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Common ratio = 1.75

17th term = 123,802.31

Given the following parameters:

Since the sequence is geometric, the nth term of the sequence is given as;

a is the first term

r is the common ratio

n is the number of terms

If the first term a1 = 16, then;

Similarly, if the fifth term a5 = 150.06, then;

Hence the common ratio to the nearest hundredth is 1.75

Next is to get the 17th term as shown;

Hence the 17th term of the sequence to the nearest hundredth is 123,802.31

Given:

Principal (P)=$200

Rate of interest (r) =4%

time (t)=30 years

Number of times compounded per year(n) = 12

Required- the amount.

Explanation:

First, we change the rate of interest in decimal by removing the "%" sign and dividing by 100 as:

Now, the formula for finding the amount is:

Put the given values in the formula, we get:

Solving further, we get:

Answer

The height of the trapezoid = 3 cm

Explanation

The area of a trapezoid is given as

Area = ½ (a + b) h

where

a and b = base lengths of the trapezoid

a = 9 cm

b = 7 cm

h = height of the trapezoid = ?

Area = 24 cm²

Area = ½ (a + b) h

24 = ½ (9 + 7) h

24 = ½ (16) h

24 = 8h

8h = 24

Divide both sides by 8

(8h/8) = (24/8)

h = 3 cm

Hope this Helps!!!

The form of the equation of the circle is

(h, k) is the center

r is the radius

Let us compare it with the given equation to find the center and the radius

From the comparing

h = -1

k = 1

r^2 = 36

Find the square root of 36 to get r

The center is (-1, 1) and the radius is 6

The answer is a donut.

A donut or Toroid is formed when you rotate an circle by a rotation axis displaced of the center of the circle.

Answer:

Step-by-step explanation:

donut

B) TS

1) Since these triangles are similar then we can write out the following ratios according to the Thales Theorem:

2) So these line segments must share the same ratio

3) Hence, the answer is TS

Answer:

TS

Step-by-step explanation: