PLEASE HELP!
Which translation rule matches the transformation for congruent triangles?

PLEASE HELP!Which Translation Rule Matches The Transformation For Congruent Triangles?

Answers

Answer 1

The translation applied to the triangle is:

T(x, y) → (x +4, y - 5)

Sp the correct option is the first one.

Which is the rule of the translation from GHI to G''H''I''?

To analyze the translation we only need to compare the coordinates of one of the vertices.

Let's see the vertex H.

The coordinates of H are (-4, 1)

The coordinates of H'' are (0, -4)

Then the translation is defined by the difference between these coordinates:

(0, -4) - (-4, -1) = (4, -5)

Then the translation here is:

T(x, y) → (x +4, y - 5)

So the correct option is the first one.

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Related Questions

The width of a rectangle is 6 yards less than the length. The perimeter is 132 yards. Find the length and width.


Width =

Length =

Answers

The length and width of a rectangle are 36 and 30 yard respectively.

What is perimeter?

Its the sum of length of the sides used to made the given figure.

We are given that width of a rectangle is 6 yards less than the length. The perimeter is 132 yards.

Therefore, the perimeter = (2 x length)+(2 x width)

The length = 6 + w

Hence, we have;

132 = (2(6 + w))+(2w)

132 = 12 + 2w + 2w

132 = 12 + 4w

120 = 4w

w = 30

Length = 36 yard.

Thus, the length and width of a rectangle are 36 and 30 yard respectively.

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A cone with height h and radius r has volume V = 1/3πr^2h. If a certain cone with a height of 6 in. and a volume of V = 8πx^2 + 24πx + 18π, what is its radius r in terms of x?

A. R = 3x + 2
B. 4x^2 + 12x +9
C. 2x + 3
D. (2x + 3) (2x -3)

Which one is the answer? A explanation would be nice too! (Many points!)

Answers

Answer: C. 2x+3

Step-by-step explanation:

[tex]\displaystyle\\V=\frac{\pi r^2h}{3} \\\\V=\frac{\pi r^2(6)}{3}\\\\V=2\pi r^2\\\\\\8\pi x^2+24\pi x+18\pi \\\\V=2\pi (4x^2+12\pi +9)\\\\V=2\pi ((2x)^2+2(2x)(3)+3^2)\\\\V=2\pi (2x+3)^2\\\\THUS,\\[/tex]

[tex]2\pi r^2=2\pi (2x+3)^2[/tex]

Divide both parts of the equation by 2π:

[tex]r^2=(2x+3)^2[/tex]

Extract the square root of both parts of the equation:

[tex]r=2x+3[/tex]

pre calc
combine radicals/fractional exponents

Answers

[tex]\begin{array}{llll} ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} \end{array} ~\hfill \begin{array}{llll} \textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} \end{array} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\cfrac{6x^{-1}y^{-1}}{\sqrt[4]{xy^4}}\implies \cfrac{6x^{-1}y^{-1}}{\left( xy^4 \right)^{\frac{1}{4}} }\implies \cfrac{6x^{-1}y^{-1}}{x^{\frac{1}{4}} y^{4\cdot \frac{1}{4}}}\implies \cfrac{6x^{-1}y^{-1}}{x^{\frac{1}{4}} y^1}\implies \cfrac{6x^{-1}y^{-1}x^{-\frac{1}{4}} y^{-1}}{1}[/tex]

[tex]6x^{-1}x^{-\frac{1}{4}}y^{-1} y^{-1}\implies 6x^{-1-\frac{1}{4}} y^{-1-1}\implies {\Large \begin{array}{llll} \underset{\textit{\small a}}{6} \stackrel{\textit{\small ~~ b}}{x^{-\frac{5}{4}}} \stackrel{\textit{\small ~~ c}}{y^{-2}} \end{array}}[/tex]

Donna buys 4 hardcover books for h dollars each and 5 paperback books
for p dollars each. Sales tax is 8%. Which expression represents the total
cost of Donna's purchase?
A (4h + 5p) (1.08)
B. (4h + 5p)(0.08)
C. (4h + 5p) + 1.08
D. (4h + 5p) + 0.08

Answers

The answer is A :)
The 1.08 represents the sales tax of 8%

Help fast please!!!!!!!Simplify.
(-√7) (-√7)
O A. √7
B. -7
OC.
C. 7
о
O
D. 49
E. -49
K

Answers

Answer:

7

Step-by-step explanation:

seven is the value e you would get

Find the Maclaurin series of the following functions. Step by step please

Answers

The Maclaurin series of  ln (1 + x³)  is

[tex]= x^3-\dfrac{1}{2}x^6+\frac{1}{3}x^9+\ldots \:[/tex]

The function is given in the question as

h(x) = ln (1 + x³)

Taylor (Maclaurin) series ofln (1 + x³) up to n = 3

A Maclaurin series is given by f(x),

[tex]f\left(x\right)=f\left(a\right)+\frac{f^'\left(a\right)}{1!}\left(x-a\right)+\frac{f^{''}\left(a\right)}{2!}\left(x-a\right)^2+\frac{f^{'''}\left(a\right)}{3!}\left(x-a\right)^3+\ldots[/tex]

[tex]f\left(x\right)=f\left(0\right)+\frac{f^'\left(0\right)}{1!}\left(x\right)+\frac{f^{''}\left(0\right)}{2!}\left(x\right)^2+\frac{f^{'''}\left(0\right)}{3!}\left(x\right)^3+\ldots[/tex]

We need to do to get the desired polynomial is to calculate the derivatives, evaluate them at the given point, and plug the results into the given formula.

f⁽⁰⁾(x) = f(x) = ln (1 + x³)

Evaluate the function at the point: f(0)=0

1st derivative: f(1)(x)=(ln(x3+1))′=3x²/(x³+1)  

1st derivative at the given point: (f(0))′=0

2nd derivative: f(2)(x)=(f(1)(x))′=(3x²/(x³+1) )′=3x(2−x³)/(x⁶+2x³+1) 

Evaluate the 2nd derivative at the given point: (f(0))′′=0

3rd derivative: f(3)(x)=(f(2)(x))′= (3x(2−x³)/(x⁶+2x³+1) )′= 6(x⁶−7x³+1)x9+3x⁶+3x³+1

Evaluate the 3rd derivative at the given point: (f(0))′′′=6

Now, use the calculated values to get a polynomial:

f(x)≈0/0!x⁰+0/1!x¹+0/2!x²+6/3!x³+0/4/!x⁴+0/5!x⁵

Thus, the Maclaurin series of  ln (1 + x³)  is

[tex]= x^3-\dfrac{1}{2}x^6+\frac{1}{3}x^9+\ldots \:[/tex]

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Identify the slope and y-intercept of the line below.

Slope=?
y-intercept=?

Answers

Answer:

Slope- y=1/4x-6

Y intercept= (0,-6)

Hope this helps!

Two dice are rolled, find the probability that the total showing is less than 10.

Answers

The probability that the total showing is less than 10 is 5/6.

What is a expression? What is a mathematical equation? What is Probability?

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. The formula to calculate the probability of occurrence of an event 'A' can be written as -  

P(A) = n(A)/n(S)

where -

n(A) = Number of outcomes favorable to event A.

n(S) = Total number of outcomes

Given are two dices rolled.

The total number of favorable outcomes can be calculated as -

[a] = (1,1) to (1,6) = 6

[b] = (2,1) to (2,6) = 6

[c] = (3,1) to (3,6) = 6

[d] = (4,1) to (4,5) = 5

[e] = (5,1) to (5,4) = 4

[f] = (6,1) to (6,3) = 3

n(A) = [a] + [b] + [c] + [d] + [e] + [f] =  6+6+6+5+4+3 = 30

n(S) = 36

So, the probability of occurrence of an event 'A' -

P(A) = n(A)/n(S)

P(A) = 30/36

P(A) = 5/6

Therefore, the probability that the total showing is less than 10 is 5/6.

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please see the attached the answer is wrong that i have

Answers

Just re write the answer

f(x) =x^3 + 2x^2 -2x

Answers

If you’re trying to find the zeros , it’s x=0,−1+√3,−1−√3 .

Two UNO students want to start a business selling slushies at the Gene Leahey Mall during the summer. They will have an initial cost of $500 to buy equipment and an additional $1.25 cost for each slushie they sell. They plan to charge $3.50 for each slushie. Let C(x) represent the cost (in dollars) associated with starting and running the business and R(x) represent the revenue (in dollars) earned from sales. Let × represent the number of slushies sold
a. Write a linear function for cost.
C(x)
Write a linear function for revenue.
R(x)=


c. Find C(50). Show your work.
• Write C(50) as an (x, y) coordinate point. ——
• Write a sentence that explains the meaning of the point in the context of the problem.


D. Find R(50).
Represent R(50) as an (x, y) coordinate point. ——-
Write a sentence that explains the meaning of the point in the context of the problem?


e. If the students sell 50 slushies, do they make a profit? Use mathematical work to help explain your answer. Complete the sentence below.

If the students sell 50 slushies. do they make—— a profit? Because——

F. How many slushies do the students need to sell to break even? Use complete sentences to explain your problem solving strategy and your conclusion.


G. How many slushies do the students have to sell to make a profit of $1250? Use complete sentences to explain your problem solving strategy and your conclusion.

Answers

The linear function is C(x) = 500 + 1.25x and the revenue function is R(x) = 3.50x.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

From the data:

The linear function:

C(x) = 500 + 1.25x

For revenue:

R(x) = 3.50x

R(50) = 3.50(50) = $175

Using the C(x) and revenue function we can find the number of slushies and profit.

Thus, the linear function is C(x) = 500 + 1.25x and the revenue function is R(x) = 3.50x.

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The vertices of triangle ABC are A(−4, 3), B(4, 3), and C(−4, −6). The triangle is dilated with a scale factor of 3. Estimate the perimeter of the dilated figure to the nearest whole number.

Answers

The perimeter of the image of the triangle is approximately equal to 87 units.

How to determine the perimeter of the image of a triangle

In this problem we find the coordinates of the vertices of a triangle: A(x, y) = (- 4, 3), B(x, y) = (4, 3), C(x, y) = (- 4, - 6), of which we must determine the perimeter of its image, which is the result of a scale factor of 3. The perimeter is the sum of the lengths of the triangle. The length of each side of the image of the triangle can be found by Pythagorean theorem and definition of dilation:

l = √[(Δx)² + (Δy)²]

Where:

l - Side lengthΔx - Change in the x-direction.Δy - Change in the y-direction.

And the perimeter of the image of the triangle is described below:

p = k · (AB + BC + AC)

Where k is the scale factor.

First, determine the lengths of sides AB, BC and AC:

Side AB

AB = √[[4 - (- 4)]² + (3 - 3)²]

AB = 8

Side BC

BC = √[(- 4 - 4)² + (- 6 - 3)²]

BC = √[(- 8)² + (- 9)²]

BC = √145

Side AC

AC = √[(- 4 - 4)² + (- 6 - 3)²]

AC = 9

Second, determine the perimeter of the image:

p = 3 · (8 + √145 + 9)

p = 3 · (17 + √145)

p = 51 + 3√145

p ≈ 87.125

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If a person travels at a speed of 28 m/s for 10 seconds, how far have they traveled?

Answers

It is a uniform rectilinear movement which is one in which an object moves in a straight line, in one only direction, with a constant speed.

When we spoke of constant speed we mean that the movement retains the same speed, that is; that the object does not move faster, or slower and always at the same speed.

If a person travels at a speed of 28 m/s for 10 seconds, how far have they traveled?

We obtain the data, as specified by the exercise.

Data:

 V = 28 m/s

 T = 10 s

 D = ?

We have that the uniform motion formula is:

     [tex]\large\displaystyle\text{$\begin{gathered}\sf V=\dfrac{d}{t}, \to where \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf V=Speed \end{gathered}$}[/tex][tex]\large\displaystyle\text{$\begin{gathered}\sf D=distance \end{gathered}$}[/tex][tex]\large\displaystyle\text{$\begin{gathered}\sf T=Time \end{gathered}$}[/tex]

We solve the formula, to calculate the distance and we obtain.And we also substitute our data.

[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{d=v*t} \end{gathered}$} }[/tex]

[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{d=28 \ \frac{m}{\not{s}}*10 \not{s} } \end{gathered}$}}[/tex]

[tex]\boxed{\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{d=280 \ m } \end{gathered}$}}}[/tex]

The person travels a distance of 280 meters.

Use the definition of the integral (the long way) to evaluate the integral

Answers

The answer is 10.67. It can be calculated by integrating and then applying the limits.

What is the integration of [tex]x^n[/tex]?

The integration of power of a variable is given by the following formula:

[tex]\int x^ndx=\frac{x^{n+1}}{n+1}[/tex]

If limits are there then limits can be applied after integration.

Consider the given function.

[tex]\int^3_1(x^2-4x+9)dx[/tex]

Now, apply integration on each term as follows:

[tex]\int^3_1x^2dx-4\int^3_1xdx+9\int^3_1dx[/tex]

Now, use the following formula to integrate:

[tex]\int x^ndx=\frac{x^{n+1}}{n+1}[/tex]

Now, the integration will look like as follows:

[tex][x^3/3]^3_1-4[x^2/2]^3_1+9[x/1]^3_1[/tex]

Now, apply limits to find the answer as follows:

[tex][3^3/3-1^3/3]-4[3^2/2-1^2/2]+9[3-1]\\[/tex]

[tex][9-\frac{1}{3}]-4[9/2-1/2]+18\\10.67[/tex]

Hence, the answer is 10.67. It can be calculated by integrating and then applying the limits.

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What is the solution for system of equations???

Answers

Answer:

(1, -2)

Step-by-step explanation:

The line is tangent to the parabola, so it intersects in only 1 point.

Answer: (1, -2)

Your employer pays you 1 1/2 times your normal wage on holidays. If your normal hourly wage is $12/hour. how much will you make per hour on the holiday?

Answers

Answer: $18/hour

12 x 1.5 = 18

Divide (5x^4-33x^3+13x^2+25x+20) by (x-6) using long polynomial divison.

Answers

5x^3-3x^2-5x-5-10 divided by X-6

Ash spent 50% of his time at the gym lifting weights. If he spent 45 minutes lifting weights, how many minutes was he at the gym? Use any strategy to solve.

Answers

If 45 is 50%, 45 x 2 would equal 100%

Ash spent 90 minutes at the gym

Band students are tested on, and required to pass, a certain number of scales during the year. As of today, Becky has passed 4 scales, whereas her friend Charlotte has passed 8 of them. Going forward, Becky has committed to passing 4 scales per week, and Charlotte has committed to passing 2 per week. At some point soon, the two friends will have passed the same number of scales. How long will that take? How many scales will that be?

Answers

They each will pass 12 scales.

What do you mean by algebraic expression?

The concept of algebraic expressions is the use of letters or alphabets to represent numbers without providing their precise values. We learned how to express an unknown value using letters like x, y, and z in the fundamentals of algebra. Here, we refer to these letters as variables. Variables and constants can both be used in an algebraic expression. A coefficient is any value that is added before a variable and then multiplied by it.

It is given that Becky has passed 4 scales, whereas her friend Charlotte has passed 8 of them.

Going forward, Becky has committed to passing 4 scales per week, and Charlotte has committed to passing 2 per week.

Let number of weeks be x

Becky has passed 4x + 4

Charlotte has passed 2x + 8

According to question:

4x + 4 = 2x + 8

4x - 2x = 8 - 4

2x = 4

x = 4/2 = 2

Becky has passed 4x + 4 = 4(2) + 4 = 8 + 4 = 12

Charlotte has passed 2x + 8 = 2(2) + 8 = 4 + 8 = 12

Therefore, They each will pass 12 scales.

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The quotient of twenty and a number, decreased by 4, is equal to zero

Answers

The equation associated with the quotient of twenty and a number, decreased by 4, is equal to zero is 20/x - 4 = 0 and that number will be 5.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Let's say that number is x,

Quotients of 20 and x will be given as 20/x

20/x - 4 = 0

20/x = 4

x = 20/4 = 5

Hence"The equation associated with the quotient of twenty and a number, decreased by 4, is equal to zero is 20/x - 4 = 0 and that number will be 5".

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The high school a athletic director is asked if football players are doing as well as academically asthe other students athletes. We know from a previous study that the average GPA for the student athletes is 3.10. after an initiative to help improve the GPA of students athletes, the athletic director randomly samples 20 football players and finds that the average GPA of the sample is 3.18 with a sample standard deviation of 0.54 is there a significant improvement use a 0.05 significance level

Answers

The athletic director can therefore draw the conclusion that the average academic standing of football players is comparable to the average standing of other student athletes.

Explain the term t-distribution?Whenever the population's standard deviation is unknown and the data come from such a normally distributed population, the t-distribution characterizes the standardized distances between the sample means and the population mean.

The following formula is used to determine the test statistic:

SRS, s = 0.54, n = 40 > 30,

x = 3.18

H0: μ = 3.10

H1: μ > 3.10

α = 0.05

The t-distribution table and our alpha level of.05 are then used to determine our crucial values.

Our critical values are 2.093 for a two specimens with 19 levels of freedom and α = 0.05 level of significance.

t = x -  μ / s/√n

t = 3.18 - 3.10/ 54/√20

t = 0.66

This indicates that the measured sample mean of football players, 3.18, is 0.66 standard errors higher than the 3.10 number that was predicted. We are unable to disprove the null hypothesis because the test statistic's value is below the threshold of 2.093.

As a result, It is clear that sampling error is the only possible explanation for the discrepancy between both the sample mean as well as the hypothesized value.

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SOLVE what is J
3j + 4 = 10
J =

Answers

Answer: The answer is 2

Step-by-step explanation:

3j + 4 = 10  J = 2

3x2=6

6+4= 10

Super confused! Please help! Explanation would be amazing, thanks! :)

Answers

Answer:

A = 29°

Step-by-step explanation:

set

(3x-4) + (9x+17) + (6x-31) = 180

Solve for x

18x - 18= 180

18x = 198

x = 11

So A will be

A = 3x - 4

A = 3(11) - 4

A = 29°

Answer:

116°

Step-by-step explanation:

total angle of a triangle: 180°

thus, (3x-4)+(9x+17)+(6x-31)= 180°.3x-4+9x+17+6x-31= 180° 18x-18= 180° 18x= 198° x= 198°/18 x= 11°

angle of A: (9x+17)°9(11)+17= 99+17 = 116°

how to solve for reflection under transformation​

Answers

Reflection over Y = X

Similarly, when a point is reflected across the line y = -x, the x-coordinates and y-coordinates change their place and are negated. Therefore, The reflection of the point (x, y) across the line y = x is (y, x). The reflection of the point (x, y) across the line y = – x is (-y, -x).

Hope this helps!

Skyler is able to complete 18 push ups in 30 seconds. If she keeps up the same rate, approximately how many sit ups can Skylar complete in 1 1/2

Answers

Answer: 54

Step-by-step explanation: 3 x 30seconds = 90 seconds (1 1/2)

3 x 18 = 54

Find the sum (9 + 6) (mod 10)

Answers

Answer:

15d10mo

Step-by-step explanation:

Simplify:

(9+6)(mod10)

=15d10mo

Help plss!
A- 10 units
B- 24 units
C- 36 units
D- 64 units

Answers

Answer:

Step-by-step explanation:

24

Answer: 24!

Step-by-step explanation:

hope this help

36 berries are in a bowl James eats 21 of the berries then he put 14 more berries in the bowl how many fewer berries are in the bowl now

Answers

The berries is the bowl is 6 berries fewer than the original amount

How to find the amount fewer of berried=s that are in the bowl

The amount of berries in the bowel is solved using addition and subtraction property of equality

36 berries are in a bowl James eats 21 of the berries

= 35 berries - 21 berries

= 15 berries

he put 14 more berries in the bowl

= 15 berries + 14 berries

= 29 berries

How many fewer is solved by

= 35 berries - 29 berries

= 6 berries

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The red figure is similar to the blue figure. Which best describes a sequence of transformations in which the blue figure is the image of the red figure?
A.Rotate 90° clockwise about the origin and then dilate with respect to the origin using a scale factor of 12.
B.Rotate 90° counterclockwise about the origin and then dilate with respect to the origin using a scale factor of 12.
C.Rotate 90° counterclockwise about the origin and then dilate with respect to the origin using a scale factor of 2.
D.Rotate 180° counterclockwise about the origin and then dilate with respect to the origin using a scale factor of 3.

Answers

The statement that best describes a sequence of transformations in which the blue figure is the image of the red figure is given as follows:

A. Rotate 90° clockwise about the origin and then dilate with respect to the origin using a scale factor of 1/2.

What are the transformations?

The horizontal side lengths on the blue figure are given as follows:

8 - 4 = 6 - 2 = 4.

The vertical side lengths on the transformed red figure is of:

4 - 2 = 3 - 1 = 2.

Hence the scale factor of the dilation is given as follows:

2/4 = 1/2.

Which means that options C and D are not correct.

The rules for each rotation are given as follows:

90º degrees clockwise: (x,y) -> (y,-x).90º degrees counter-clockwise: (x,y) -> (-y,x).

On the second quadrant, of the blue figure, we have that:

x is negative.y is positive.

On the first quadrant, of the red figure, we have that:

x is positive.y is positive.

Hence the rotation was clockwise, and option A is correct.

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Suppose we flipped a coin and rolled a die, what is the probability of getting a tail on the coin or a 3 on the die?

Answers

Answer:

The probability of a head of a die is 1/6 and that of a side of a coin

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(Harrison Bergeron) What group made up the largest part of Spanish America public education suffers from what can be diag- nosed as the sickness of an overgoverned society. this sickness denies many parents control over the kind of education their children receive. the power once held by parents has gravit~ted to professional educators. the sickness has been aggravated by increasing centralization and bureaucratization of schools. what eyepiece focal length will give the microscope an overall angular magnification of 250? assume a length ll question content areamanagers of what type of decentralized units have authority and responsibility for revenues, costs, and assets invested in the unit? a.production center b.cost center c.profit center d.investment center Solve the system of linear equations by substitution.5x + 2y = 9-0.5x - y = 7.5 technician a says that some dc motors use brushes. technician b says that an ac synchronous motor uses a permanent magnet rotor. which technician is correct? Graded AssignmentValue DifferencesAs you make friends outside your family circle, you may be exposed to people who hold values and beliefs that are different from what youve grown up with. How can you navigate interacting with all these new people? In this assignment, you will research the value and beliefs of different cultures, consider your personal values, and analyze an interaction youve had with someone outside your own culture.Part 1 InstructionsUse the internet and other resources to conduct research on the different values and beliefs of different cultures. There are hundreds of thousands of cultures in the world, so focus on three to four that are new to you. Some aspects of culture you can search for that relate to values and beliefs may be as follows: religious beliefs family values and structure how people communicate with one another (not just language spoken, but body language, gestures, do they touch a lot, are they reserved, etc.)As you conduct your research, write down each source you find and take notes on the cultures you learn about in your Health Notebook.Part 2 InstructionsYou were also born into a culture with its own values and beliefs. What would you consider to be your core values?Part 3 InstructionsEvery day, people from different cultures meet and interact with one another. Think about a time you met someone with different values and beliefs from yours. How did you interact with that person?Be sure to respond in complete sentences and use proper spelling and grammar in your responses.Total score: ____ of 40 points1. List at least three different sources in the space below.Type your answer here.2. Think about the cultures you researched. Choose three different cultures you read about during your research, and identify and describe at least three core values or beliefs for each culture.Culture 1:Type your answer here.Culture 2:Type your answer here.Culture 3:Type your answer here.3. Identify and describe at least three core values and beliefs that you hold.Value/Belief 1:Type your answer here.Value/Belief 2:Type your answer here.Value/Belief 3:Type your answer here.4. In no more than one page, describe a time you met someone with different values and beliefs from yours. What did you talk about or do together? Did your value differences come up at all? Were they a problem, or were they a positive influence on your interaction?Type your answer here.5. Is there anything you would do differently now? In no more than one page, describe how you might improve how you relate and interact with people whose values differ from your own. Why is it important to develop healthy relationships or have healthy interactions with people of different cultures?Type your answer here. Public policy ________.a. is more of a theory than a realityb. is typically made by one branch of government acting alonec. requires multiple actors and branches to carry outd. focuses on only a few special individuals what is the total stockholders' equity based on the following account balances? line item description amount common stock $375,000 paid-in capital in excess of par 90,000 retained earnings 190,000 treasury stock 15,000 a.$640,000 of the three financial ratios discussed in this chapter, which do you think is the most important financial ratio? why? the arrival of children: affects the frequency of sexual relations by increasing it. affects the frequency of sexual relations by decreasing it substantially. does not affect the frequency of sexual relations. affects the frequency of sexual relations only slightly, but there is a substantial increase in sexual satisfaction for mothers. Fungi a. typically reproduce sexually when environmental conditions are poOr: b. typically reproduce sexually when environmental conditions are good. c. always reproduce sexually: d. always reproduce asexually find the temperature (in k) at which the root-mean-square speed of ch4 molecules is the same as the root-mean-square speed of o2 molecules at 448.8 k. If a = 3 and b = 5, find a/(a+b)=. my regular recipe for cream of potato soup makes 50 8-ounce servings. i need to make potato soup for 200, but i want to increase the portion size to 12 ounces. what conversion factor should i use to adjust my recipe for the new amount? what is c=2.80g c=8.30g