mary will spin the spinner below 150 times. about how many times should mary expect the spinner to land on a number greater than 5

Answers

Answer 1

Answer:

56 times (This is still assuming 1 isnt an option)

Step-by-step explanation:

0,2,3,4,5,6,7,8

There are 8 options, 3 of which are greater than 5

3/8

3/8 = x/150

3*150 = 450

8 * x = 8x

8x = 450

450/8  = 56.25

56 times

-- Gage Millar


Related Questions

Express (x+1) (x+1) as a trinomial in standard from

Answers

Answer:

x^2 + 2x + 1

Step-by-step explanation:

(x + 1)(x + 1) = x^1 + x + x + 1 = x^2 + 2x + 1

Answer:

x² + 2x + 1

Step-by-step explanation:

(x+1)(x+1)

x² + 1x + 1x + 1

A sandwich shop sells sandwiches for $5.95 each, including tax. the shop received a total of $71.40 from the sales of sandwiches one afternoon. which equation can be used to determine the number of sandwiches, x, sold by the sandwich shop that afternoon?​

Answers

Answer:

5.95x = 71.40

Step-by-step explanation:

5.95(x)=71.40

7140/595=12

5.95(12)=71.40

Help please not sure what it can be!

Help please not sure what it can be!

Answers

Answer:

y=40x-30

Step-by-step explanation:

Find the value

5x+2 x=3

Answers

Plug x=3 into the equation:
5(3)+2
And simplify:
15+2
17

Answer:

17

Step-by-step explanation:

you multiply 5 and x and you get 15 plus 2 equals 17

Zion walked 1.7 miles in 1 hour. If he walks at the same rate, how far will he walk in 1.5 hours? Use partial products to find the answer.

Answers

Answer:

1 hour = 1.7 miles / 1.5 hours = ? Miles

1.7 × 0.5 = 0.85 + 1.7 = 2.55 Miles

Step-by-step explanation:

1.7 × 0.5 = 0.85 + 1.7 = 2.55 Miles

3) Find f(–1) if f(x) = –3x – 5.

Answers

F(-1) = -2 -3x x (-1) = 3 and 3-5 is -2 :)

The side lengths of a triangle are 15 units, 47 units and $\dfrac{x}{2}$ units. How many integer values of $x$ are possible

Answers

There can be an infinite number of integer values of x possible.

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side for it to be a valid triangle. So, for a triangle with side lengths 15, 47 and  \($\dfrac{x}{2}$\) the condition for the triangle to be valid is:

15 + 47 >\($\dfrac{x}{2}$\)

30 > \($\dfrac{x}{2}$\)

2\times30 > x

x > 60

Since xmust be an integer, the possible values of x are any integer greater than 60. Thus, there can be an infinite number of integer values of x possible.

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Explore Part 2
Drag the number cards to create three points that represent a proportional relationship.
Use the sketch tool if it helps you with your thinking.
Please help I give 10 pt

Answers

Answer:

Step-by-step explanation:

1,3        2,6        4,8

I hope it helps, thank you!

The length of a side of a square is equal to the diameter
of a circle. Which is greater, the perimeter of the square
or the circumference of the circle?

Answers

Answer:

Therefore the circumference of the circle is greater than the perimeter of the square

The length of a side of a square is equal to the diameterof a circle. Which is greater, the perimeter

Can someone please help me ASAP!!

Can someone please help me ASAP!!

Answers

I DONT SPEAK ENGLISH, I'M BRAZILLIAN

Answer:

brainllest if right

b

Step-by-step explanation:

if the average (arithmetic mean) of n consecutive odd integers is 10, what is the least of the integers? the range of the n integers is 14. the greatest of the n integers is 17.

Answers

The least of the integers in arithmetic mean of n consecutive odd integers is 3.

The formula to calculate average or arithmetic mean of evenly distributed set is -

Average = sum of first and last term/2

Keep the values in formula to find the least integer. Since these are consecutively arranged, the first number will be the least number.

10 = first number + 17/2

First number + 17 = 10×2

Performing multiplication on Right Hand Side

First number + 17 = 20

First number = 20 - 17

Performing subtraction

First number = 3

Hence, the least integer is 3.

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helpppppppppppppppp i dont know this

helpppppppppppppppp i dont know this

Answers

Answer:

f(- 3) = - 16

Step-by-step explanation:

To evaluate f(- 3) with x = - 3 in the interval x ≤ - 2, then

f(- 3) = 5x - 1 = 5(- 3) - 1 = - 15 - 1 = - 16

The Stoosbahn's slope is 1/2. When you ride it to the top, you travel 4,929 feet horizontally. How far do you travel vertically?

Answers

Answer: 2464.5 ft

Step-by-step explanation:

Given

Slope is \(\frac{1}{2}\)

Horizontal travel is 4929 feet

and Slope is given by

\(\Rightarrow \text{Slope}=\dfrac{\text{Vertical travel}}{\text{Horizontal travel}}\\\\\Rightarrow \dfrac{1}{2}=\dfrac{Y}{4929}\\\\\Rightarrow Y=2464.5\ ft\)

Therefore, vertical travel is 2464.5 ft

How much is the sales tax?
Price $24.95
Tax 7%
price x.0%= tax

Show Work!

Answers

Therefore the sales tax is $ 1.7465.

A percentage is what?

Another approach to express fractions is in percentages, where the denominator is 100. (percent). 'Percent' literally means 'out of 100. For instance, 20% denotes one out of every five because five twenty-dollar bills can fit in a hundred. A percentage can occasionally be expressed as a decimal, with 100% being the same as 1. As an illustration, 0.68 is equal to 68%.

Given:

Price $24.95

Tax 7%

Therefore 7% of  $24.95

= $  7/100 x 24.95

= $ 1.7465

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Miguel used the graph below to represent a system of equations. On a coordinate plane, 2 lines will intersect at one point. Which statement is the best conclusion for Miguel’s system?

Answers

Answer b,since the lines will intersect at one point, this system has one solution:

Step-by-step explanation:

Took the test

Answer:

B

Step-by-step explanation:

may someone help me with these 2 again

may someone help me with these 2 again
may someone help me with these 2 again

Answers

Answer:

1. 180

2. x = 31

Step-by-step explanation:

1. the sum of the interior angles of every triangle is always 180

2. using what we know from problem 1, we can create an equation:

x + 10 + 2x - 5 + 2x + 20 = 180

add like terms: 5x + 25 = 180

subtract 25 from both sides: 5x = 155

divide both sides by 5: x = 31

solution of the initial value problem y = 3/ty –2t^5, y(1)=5, t>0

Answers

The solution to the initial value problem is the function y(t) that satisfies the equation:  t^6 = (1/4)t + 9ln|y|.

To solve the initial value problem, we'll use the method of integrating factors.

Given the initial value problem:

dy/dt = (3/ty) - 2t^5

y(1) = 5

Step 1: Rewrite the equation in the standard form.

dy/dt + (2t^5 - 3/ty) = 0

Step 2: Identify the integrating factor.

The integrating factor (IF) is given by the exponential of the integral of the coefficient of y, which in this case is (2t^5 - 3/ty). Therefore, the integrating factor is:

IF = exp(integral(2t^5 - 3/ty) dt)

Step 3: Calculate the integrating factor.

To find the integral, split it into two parts:

integral(2t^5 - 3/ty) dt = integral(2t^5) dt - integral(3/ty) dt

= (2/6)t^6 - 3ln|y| + C

= (1/3)t^6 - 3ln|y| + C

Now, the integrating factor becomes:

IF = exp((1/3)t^6 - 3ln|y| + C)

= exp((1/3)t^6) * exp(-3ln|y| + C)

= exp((1/3)t^6) * exp(C) / |y|^3

Step 4: Multiply the entire equation by the integrating factor.

exp((1/3)t^6) * exp(C) / |y|^3 * (dy/dt) + exp((1/3)t^6) * exp(C) / |y|^3 * (2t^5 - 3/ty) = 0

Simplifying the equation, we get:

exp((1/3)t^6) * exp(C) / |y|^3 * (dy/dt) + (2t^5 - 3/ty) = 0

Step 5: Integrate both sides of the equation.

∫ exp((1/3)t^6) * exp(C) / |y|^3 dy + ∫ (2t^5 - 3/ty) dt = ∫ 0 dt

The first integral can be simplified by letting u = y^(-3), which means du = -3y^(-4) dy. The limits of integration change accordingly:

∫ exp((1/3)t^6) * exp(C) / |y|^3 dy = ∫ -1/3 exp((1/3)t^6) du

= -1/3 ∫ exp((1/3)t^6) du

The second integral becomes:

∫ (2t^5 - 3/ty) dt = ∫ 2t^5 dt - 3 ∫ 1/y dt

= (2/6)t^6 - 3ln|y| + K1

Combining the integrals, we have:

-1/3 ∫ exp((1/3)t^6) du + (2/6)t^6 - 3ln|y| + K1 = K2

Simplifying further, we get:

-1/3 exp((1/3)t^6) + (1/3)t^6 - 3ln|y| + K1 = K2

Rearranging the terms, we have:

-1/3 exp((1/3)t^6) + (1/3)t^6 - 3ln|y| = K2 - K1

Step 6: Solve for y.

To find the solution for y, we'll use the initial condition y(1) = 5.

When t = 1, we have:

-1/3 exp((1/3)(1)^6) + (1/3)(1)^6 - 3ln|5| = K2 - K1

Simplifying:

-1/3 + 1/3 - 3ln|5| = K2 - K1

-3ln|5| = K2 - K1

Now, substitute K2 - K1 with K:

-3ln|5| = K

Substituting this value back into the equation, we have:

-1/3 exp((1/3)t^6) + (1/3)t^6 - 3ln|y| = -3ln|5|

Rearranging, we get:

exp((1/3)t^6) = 5 * exp(3ln|y|)

Taking the natural logarithm of both sides:

(1/3)t^6 = ln(5) + 3ln|y|

t^6 = 3ln(5)t + 9ln|y|

Step 7: Solve for y.

We'll use the initial condition y(1) = 5 to find the value of y.

When t = 1, we have:

1^6 = 3ln(5)(1) + 9ln|5|

1 = 3ln(5) + 9ln(5)

1 = 12ln(5)

Simplifying:

ln(5) = 1/12

Substituting this back into the equation:

t^6 = 3(1/12)t + 9ln|y|

t^6 = (1/4)t + 9ln|y|

We can solve this equation numerically to find the value of t.

In summary, the solution to the initial value problem is the function y(t) that satisfies the equation:

t^6 = (1/4)t + 9ln|y|

Please note that the final equation obtained is nonlinear and cannot be solved explicitly for y in terms of t.

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2 pointsDo the following lengths form right triangles? 1 point correct answer, 1point showing your work. *a = 2.1, b = 7.2, c= 7.5Your answer

2 pointsDo the following lengths form right triangles? 1 point correct answer, 1point showing your work.

Answers

We are asked to find out whether the given lengths correspond to a right-angled triangle.

\(\begin{gathered} a=2.1 \\ b=7.2 \\ c=7.5 \end{gathered}\)

Recall that a right-angled triangle must satisfy the Pythagorean theorem.

\(a^2+b^2=c^2\)

Let us substitute the given values into the above formula

\(\begin{gathered} a^2+b^2=c^2 \\ 2.1^2+7.2^2=7.5^2 \\ 4.41+51.84=56.25 \\ 56.25=56.25 \end{gathered}\)

As you can see, the Pythagorean theorem is satisfied.

Therefore, the given lengths form a right triangle.

If X is correlated with Y, what must be true about X and Y? Explain your reasoning. a. A corelation exists between two variables when both variables increase together b. Increasing values of X go with either increasing or decreasing values of Y. A comelation exists between two variables when both variables increase or decrease together c. Increasing values of X go with either increasing or deoreasing values of Y. A correlation exiss between X and Y when higher values of X consistently go with higher values of Y or when higher values of X consistently go with lower values of Y d. X causes Y. If Y decreases as X increases, then X must cause Y to change. e. Increasing values of X go with increasing values of Y. A correlation exists between two variables when both viariables decrease togetherf. X causes Y. If Y increases as X increases, then X must cause Y to change-

Answers

Answer:

it is a statistical measure of the relationship between two variables that indicates the extent to which the variables change together in the same or opposite direction. Correlation does not imply causation, meaning that a correlation between two variables does not necessarily mean that one variable causes the other.

Based on this definition, the correct answer is b. Increasing values of X go with either increasing or decreasing values of Y. A correlation exists between two variables when both variables increase or decrease together. This statement captures the idea that correlation can be positive or negative, and that it reflects a linear relationship between two variables.

Step-by-step explanation:

a is wrong because it only describes positive correlation, not negative correlation.

c is wrong because it confuses correlation with consistency. Correlation does not require that higher values of X always go with higher or lower values of Y, only that they tend to do so on average.

d and f are wrong because they assume causation from correlation, which is a logical fallacy.

e is wrong because it contradicts itself. It says that increasing values of X go with increasing values of Y, which is positive correlation, but then it says that a correlation exists when both variables decrease together, which is negative correlation.

Final answer:

If X is correlated with Y, it implies a predictive statistical relationship between X and Y. This correlation can be positive or negative implying respective increase or decrease in values of both variables. But, this correlation doesn't prove causation.

Explanation:

If X is correlated with Y, it indicates a statistical relationship between the two variables, X and Y. This relationship can be positive or negative. If it is a positive correlation, as X increases, Y will also increase and similarly, as X decreases, Y will also decrease. Contrarily, in a negative correlation, as X increases, Y decreases and vice versa. However, it is important to understand that correlation does not imply causation. That is, if X and Y are correlated, it does not necessarily mean that changes in X cause changes in Y or vice versa. It only means that they move in a predictable manner relative to each other.

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where does the dependance of experience is reflected in prior proability syntactic distinction semantic distinction both a & b none of the mentioned

Answers

The dependance on experience is reflected in the syntactic distinction between prior probability statements.

syntax refers to alphabet, while semantics refers to meaning. Syntax is the set of rules demanded to insure a judgment is grammatically correct; semantics is how one's wordbook, grammatical structure, tone, and other rudiments of a judgment coalesce to communicate its meaning. syntax is the arrangement or order of words, determined by both the pen's style and alphabet rules. consisting of or noting coinages that are combined in the same order as they would be if they were separate words in a corresponding construction The word blackberry, which consists of an adjective followed by a noun, is a syntactic emulsion.

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While racking a circuit breaker in energized gear, what means could be used to reduce the arc flash hazard to 0 incident energy exposure to a worker?

Answers

The only way to completely eliminate the risk of arc flash is to de-energize the equipment before performing any maintenance or testing.

Racking a circuit breaker in energized gear poses a significant arc flash hazard to workers due to the potential for electrical energy to be released and cause an arc flash.

If it is not possible to de-energize the equipment, the following means could be used to reduce the arc flash hazard to 0 incident energy exposure to a worker:

Use remote racking: Remote racking systems allow workers to rack circuit breakers from a safe distance, reducing the risk of exposure to the arc flash hazard.Wear personal protective equipment (PPE): Workers should wear appropriate PPE.Implement an energy control program: An energy control program should be in place to ensure that workers are properly trained.Use a remote video camera: A remote video camera can be used to monitor the racking process from a safe distance, allowing workers to rack circuit breakers without being in the line of fire.

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the measures of the angles in a triangle are in a ratio of 2:2:4. find the exterior angle that is adjacent to the largest triangle.

Answers

The exterior angle adjacent to the largest interior angle in a triangle with a 2:2:4 angle ratio is 90 degrees.

The exterior angle adjacent to the largest interior angle in a triangle is equal to the sum of the other two interior angles.

Let's call the measures of the angles in the triangle x, x, and 2x. Then,

x + x + 2x = 180 degrees,

so 4x = 180 degrees, and

x = 45 degrees.

The largest interior angle is 2x, or 90 degrees. The exterior angle that is adjacent to this angle is equal to 180 degrees minus the interior angle, which is 180 - 90 = 90 degrees.

So the exterior angle adjacent to the largest interior angle in a triangle with a 2:2:4 angle ratio is 90 degrees.

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The image of the point B(8,-3) under the translation T6,0?

Answers

Answer:

(14, - 3 )

Step-by-step explanation:

Under the translation < 6, 0 >

Add 6 to the x- coordinate and 0 to the y- coordinate, that is

B(8, - 3 ) → B'(8 + 6, - 3 + 0 ) → B'(14, - 3 )

in the citation 319 n.w. 2d 459, the number 459 represents the

Answers

The number 459 in the citation 319 N.W. 2d 459 represents the page number where the case or legal opinion can be found in the North Western Reporter, Second Series. The North Western Reporter is a series of case reporters that includes court decisions from various states in the northwestern region of the United States.

In legal citations, the number before the "N.W." indicates the volume number of the reporter. So in this case, "319" refers to the specific volume where the case is located. The abbreviation "N.W." stands for North Western Reporter, which is the name of the reporter series. The number "2d" after "N.W." indicates that this is the second series of the North Western Reporter.

To locate the case within the volume, the number "459" refers to the page number where the case begins. This allows readers, such as lawyers, judges, or researchers, to easily find and reference the specific case within the reporter.

In summary, the number "459" in the citation 319 N.W. 2d 459 represents the page number where the case can be found in the North Western Reporter, Second Series.

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Given the vectors m= (-2,3,6) and n=(5,-1, 1), find each of the following: (a) the vector projection of in on ñ (b) a unit vector perpendicular to m and n

Answers

(a) The vector projection of m onto n is (-35/27, 7/27, -7/27).

(b) A unit vector perpendicular to m and n is approximately (0.251, 0.892, -0.365).

(a) To find the vector projection of m onto n, we can use the formula:

\(proj_{n(m)\) = (m · n / |n\(|^2)\)* n

where "·" denotes the dot product, and |n| represents the magnitude of vector n.

Let's calculate the vector projection:

m · n = (-2 * 5) + (3 * -1) + (6 * 1) = -10 - 3 + 6 = -7

\(|n|^2\) = (\(5^2\)) +\((-1^2) + (1^2)\) = 25 + 1 + 1 = 27

\(proj_{n(m)\) = (-7 / 27) * (5, -1, 1)

             = (-35/27, 7/27, -7/27)

Therefore, the vector projection of m onto n is (-35/27, 7/27, -7/27).

(b) To find a unit vector perpendicular to both m and n, we can take their cross product and then normalize the resulting vector.

m × n = | i j k |

| -2 3 6 |

| 5 -1 1 |

Expanding the determinant:

m × n = (3 * 1 - 6 * -1)i - ((-2 * 1 - 6 * 5)j + (-2 * -1 - 3 * 5)k)

         = (3 + 6)i - (-2 - 30)j + (2 - 15)k

         = 9i + 32j - 13k

To normalize this vector, we divide it by its magnitude:

| m × n | = \(\sqrt{(9^2) + (32^2) + (-13^2)}\)

            = \(\sqrt{(81 + 1024 + 169)}\)

            = \(\sqrt{1274}\)

Therefore, a unit vector perpendicular to m and n is:

u = \((9 /\sqrt{(1274)} , 32 / \sqrt{(1274)} , -13 / \sqrt{(1274)} )\)

Hence, a unit vector perpendicular to m and n is approximately (0.251, 0.892, -0.365).

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if mobius draws 7 cards out of a deck with replacement, what is the probability that he gets the first heart in 6 attempts or fewer?

Answers

The value of the probability is 0.822

How to determine the probability

In a standard deck, we have

P(Heart) = 1/4

This can be represented as

p = 1/4 and q = 3/4

The probability of getting the first heart in exactly k draws is given by:

P(k) = (1/4) * (3/4)^(k-1)

The probability of getting the first heart in 6 attempts or fewer is:

The sum of the probabilities of getting the first heart on the first, second, third, fourth, fifth, or sixth draw:

So, we have

P = P(1) + P(2) + P(3) + P(4) + P(5) + P(6)

P = (1/4) + (3/4)(1/4) + (3/4)^2(1/4) + (3/4)^3*(1/4) + (3/4)^4*(1/4) + (3/4)^5*(1/4)

Evaluate

P = 0.822

Hence, the probability is 0.822

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Which statement is shown about the graphs shown?

Which statement is shown about the graphs shown?

Answers

Answer: In A it seems that everything got higher and higher by each number going up and that it kept going while in B it din't start in 0 but more between the middle of 1 and 2 and in the end of it, it doesn't go as high as A. Hope this helped

Step-by-step explanation:

Can someone help me with this. Will Mark brainliest.

Can someone help me with this. Will Mark brainliest.

Answers

Answer:

Radius

Step-by-step explanation:

Any segment with one endpoint at the center of the circle and the other endpoint on the circle is the radius. This information is very important, because when you want to find the area of a circle you multiply the radius by itself twice then multiply that by pi. The diameter (second option) is a segment where one endpoint is on the circle and the other endpoint is on the other side of the circle. The diameter is twice the radius. Good luck!

EASY BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 100pts-

(if you put links or don't answer accordingly im reporting your account)

EASY BRAINLIEST PLEASE HELP!!-if you answer correctly ill give you brainliest which will give you 100pts-(if

Answers

Answer:

c sorry if im wrong

Step-by-step explanation:

soryy if im wrong please forgive me if i am

Answer:

D.the diagonal bisect each other.Since bisectors divide the diagonals equally in two parts.

True or False : The magnitude of a vector is zero if all of its components are zero.

Answers

True , a vector cannot have zero magnitude if one of its components is not zero.

If all of a vector's components are zero, is the vector's magnitude also 0?

A vector's magnitude cannot ever be smaller than any of its components' magnitudes. Only when all of a vector's components are 0 can the vector's magnitude be zero.

                       Their northward components are also equal, and the eastward component of vector A is equal to the westward component of vector B.

What is the vector's magnitude?

A vector's magnitude, represented by the symbol |v|, is used to determine a vector's length. The distance between the vector's beginning point and endpoint is what this amount essentially represents.

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Select the correct phenotypic ratio for the offspring. 4 yellow, round : 4 yellow, wrinkled : 4 green, round : 4 green, wrinkled 6 yellow, round : 2 yellow, wrinkled : 6 green, round: 2 green, wrinkled 6 yellow, round : 6 yellow, wrinkled : 2 green, round : 2 green, wrinkled 9 yellow, round : 3 yellow, wrinkled : 3 green, round : 1 green, wrinkled The Bohr model of the atom suggest that the protons and neutrons are found in the nucleus and the electrons orbit the nucleus much line planets around the sun. How is our modern model of the atom different from this model? HELP!!! 20 POINTSA Speech to the Student Body of Evergreen High[1] Picture this: It's Spring Break, and you fly off to some country where there's lush rainforests and beautiful, blue coastlines to explore. There's also people in need, so you decide to blend your vacation with volunteering. Volunteering as a tourist, or voluntourism, seems like a great way to explore new regions and help people at the same time. However, this "volunteer plus travel" experience can actually harm local communities. While many teens might view traveling and volunteering abroad as a worthwhile adventure, there are more genuine and effective ways to make a difference.[2] Most would agree that volunteering in general is a worthy use of time. However, what if you found out the children you are "helping" are actually being kept in poor conditions so voluntourists will spend money to come to the local area? Dale Rolfe, a supporter of ethical voluntourism, explains the shocking reality that "Animal sanctuaries and orphanages are often manufactured for the voluntouristencouraging a cycle of exploiting the very animals and children the volunteers are trying to help."[3] Proponents of the "volunteer plus travel" experience also argue that traveling to new places builds character and is a valuable way to learn about different cultures. With voluntourism, however, participants often pursue experiences that are all about them. For example, they sign up to build a school for a gold star on their resume, but they have no real building skills and take jobs away from local construction workers (Schulten). Or, they arrive to teach English but instead take selfies with the locals. One world traveler and ethical voluntourist believes voluntourism "can perpetuate small minded views of the world by taking insulated, fake, and structured experiences and selling them as unabridged and eye opening" (Carlos). The voluntour experience is a mirage. The voluntourist's eyes are not opened to real life at the destination, and lasting change is not achieved.[4] If you want a genuine experience where you can see a lasting impact, there are better options than voluntourism. You can volunteer in your local community. Give an hour every week to your town's animal rescue. Serve monthly dinners to the homeless. Be a reliable, positive influence on a child who needs a mentor. Studies show that volunteering and forming lasting relationships with those you help has a positive impact on your physical and emotional health. In fact, blood pressure is reduced, memory is improved, and rates of depression are reduced (Michaels).[5] There is another reason to look into alternatives to voluntourism. Did you know the average "voluntour" travel package costs $3,400 (Rolfe)? Could that travel money be better spent? If the world's citizens are your passion, it could go to an international organization. If you care about education, your funds can be used to buy books for students in faraway lands. If you want villagers to have clean water, contribute funds to local efforts to dig wells. If you want to experience a different culture, travel to the country as a guest, and learn from the locals how you can best help them after you've returned home. But do not voluntour.[6] In reality, there are better ways to make a difference. Voluntourism might appear to be an adventure that blends travel and helping others, but it does little except provide a costly, superficial experience that might actually do more harm than good. So, volunteer where you are most needed-at home, where you can stay to see the job through and form genuine, lasting relationships. Choose a beautiful coastline closer to home and send the travel money you saved to an international organization that will put it to good use. Whatever you do, don't turn someone else's hardship into your vacation.Which paragraphs address the counterclaim of the argument? Paragraphs 1 and 6 Paragraphs 2 and 3 Paragraphs 3 and 4 Paragraphs 4 and 5 which of the following would be a benefit of the control function of managers? control helps managers establish income and expense goals. control helps managers make product pricing decisions. control communicates the goals of the organization to employees. control allows managers to evaluate progress toward corporate goals. In response to criticisms that the King of Mordor has failed to gain the consent of his people, the King claims that he does in fact represent the consent of the people because without their King, society would crumble into chaos.Which statement BEST represents a rebuttal that Rousseau would use to counter the Kings argument? A.Absolute chaos is preferable to the absolute power of the King.B.The King of Mordor should establish a system of checks and balances.C.If the King of Mordor were to represent the will of his people, then he would at least provide the public services demanded by his people.D.It is impossible for the King of Mordor to have the consent of the people because the monarchy is not a freely formed government in which the people have a say in how it operates.