plesee help me do I need it under 25min and don't answer if you don't know or else u will be reported thank you (◔‿◔)​

Plesee Help Me Do I Need It Under 25min And Don't Answer If You Don't Know Or Else U Will Be Reported

Answers

Answer 1

Answer:

l = 2.25 cm

Step-by-step explanation:

given l is inversely proportional to w² then the equation relating them is

l = [tex]\frac{k}{w^2}[/tex] ← k is the constant of proportion

(i)

to find k use the condition w = 1.5 , l = 16 , then

16 = [tex]\frac{k}{1.5^2}[/tex] = [tex]\frac{k}{2.25}[/tex] ( multiply both sides by 2.25 )

36 = k

l = [tex]\frac{36}{w^2}[/tex] ← equation of proportion

(ii)

when w = 4 , then

l = [tex]\frac{36}{4^2}[/tex] = [tex]\frac{36}{16}[/tex] = 2.25 cm


Related Questions

6 A survey was given to 12th-grade students of West High School to
determine the location for the senior class trip. The results are shown
in the table below.
To the nearest percent, what percent of the boys chose Niagara Falls?

Answers

Total of 24.03% of boys choose Niagara falls.

What is a frequency table?

A frequency table is a list of objects with the frequency of each item shown in the table.

The quantity of times that an event or value occurs is its frequency.

A frequency table, then, is a table that contains some facts and their frequency.

Given,

Total number of boys

56 + 74 + 103 = 233

Number of boys who chose Niagara falls = 56

Percentage of 56 out of 233

(56/233) × 100⇒ 24.03%

Hence the percent of the boys chose Niagara Falls will be 24.03%.

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Solve the proportion: 3/2 = 4/p + 9

Answers

The answer is p = -8/15


Proportion can simply be defined as equating two ratios

The proportion of 3/2 = 4/p +9 can be calculated as follows

3/2 - 9/1 = 4/p

-15/2 = 4/p


cross multiply both sides together to find the value of p

-15×p= 4×2

-15p= 8

p= -8/15

Hence the answer is p= -8/15



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kerri said that the quotient of 4.2/5 is about 8 tenths because 4.2/5 is close to 40 tenths /5 do you agree with Kerris reasoning?

Answers

Kerris reasoning that 4.2/5 is about 8 tenths because 4.2/5 is close to 40 tenths/5 is correct

How to interpret Kerris reasoning?

The quotient is given as:

4.2/5

Kerris reasoning is that

4.2/5 is approximately 0.8

We start by calculating the actual value of the quotient 4.2/5

Using a calculator, we have:

4.2/5 = 0.84

Approximate to the nearest tenth

4.2/5 = 0.8

This means that Kerris reasoning that 4.2/5 is about 8 tenths because 4.2/5 is close to 40 tenths/5 is correct

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A pair of ladders whose lengths are 4.2m and 5.6m are leaned onto a wall such that they reach the same height. The base of the longer ladder is 1.96 further away from the base of the wall then the base of the shorter ladder. The distance of the shorter ladder form the wall is:

Answers

Answer:

2.52 m

Step-by-step explanation:

let the height be h m.

let the shorter ladder be x m away from the base of wall.

(x+1.96)²+h²=5.6²

x²+h²=4.2²

subtract

(x+1.96)²-x²=5.6²-4.2²

(x+1.96+x)(x+1.96-x)=31.36-17.64

(2x+1.96)(1.96)=13.72

2x+1.96=13.72/1.96=7

2x=7-1.96=5.04

x=5.04/2=2.52

Let A, B, C be three points on a circle

with AB = BC. Let the tangents at A and

B meet at D. Let DC meet again

at E. Prove that the line AE bisects the segment

BD. (Hint: Why do we care about a chord bisecting a tangent line?)​

Answers

The proof that the line AE bisects the segment can be seen below.

How to get the proof

Let us have

Γ1  and 2 are the two intersecting circles. to be the circumcircle of the shape ADE. Then we can see that  Γ1 is tangent to the line DB.

A common tangent would have to touch T1 at A and also touch T2 at B

Such that what we would have would be

<ADB = 180◦ − 2<ABD = <ABC = <AEC

This would then tell us that the line is tangent to the segment.

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The perimeter of a football field is 1040 feet. The length of the field is 120 feet less than 3 times the width. What are the dimensions of the field?

Answers

Answer:

length: 360 ftwidth: 160 ft

Step-by-step explanation:

The perimeter formula and the given relation between length and width can be used to write and solve an equation for the field dimensions.

Setup

Let w represent the width of the field. Then (3w-120) is the length of the field, and its perimeter is ...

  P = 2(L +W)

  1040 = 2((3w-120) +w)

Solution

Dividing by 2 and simplifying, we have ...

  520 = 4w -120

  130 = w -30 . . . . . . divide by 4

  160 = w . . . . . . . . . add 30

  3w-120 = 3(160) -120 = 360 . . . the field's length

The dimensions of the field are 160 feet long by 360 feet wide.

Calculate the perimeter and area of this shape.
Perimeter =

Answers

Answer:

Perimeter → 25cm

Area → 25.5cm²

Explanation:

[tex]perimeter = > 2.5 \times 2 + 5.5 + 3.5 + 6 + 3 + 2 = 5 + 9 + 9 + 2 = 25[/tex]

[tex]area = > 3 \times \frac{1}{2} \times 2 + 3 \times 3.5 + 6 \times 2 = 3 + 12 + 10.5 = 25.5[/tex]

The radius of a circle is 9.5 cm find the circumference to the nearest tenth

Answers

For circumference use C = 2πr because π is the ratio of Circumference to diameter and diameter is 2 x radius.

C = 2 x 3.142 x 9.5 cm ≈ 59.7 cm

Area of a circle is π x r² = 3.142 x (9.5 cm)² ≈ 283.6 cm²

The circumference of a circle with a radius of 9.5 centimeters is about 59.7 centimeters and the area of a circle with radius of 9,5 centimeters is about 283.6 centimeters.

Find the area of the trapezoid 3cm 3cm 4cm 1cm

Answers

Answer:

8√2 cm²

Refer to the attached page,I've shown the complete calculation over there

As a cold front approaches the weather forecast over the next 5 days calls for the following temperatures In degrees Fahrenheit 12,5,18,8,2 which graph below represents the temperature over this 5 day period

Answers

The graph showing the temperature over the 5-day period will look exactly like the attached. On the y-axis, we have the Temperature and the x-axis the number of days.

What is the value of a Graph forecast?

Graphs and charts are useful visual aids because they make information accessible and easy to understand.

Therefore, it is not unexpected that print and electronic media frequently employ graphs.

When data is displayed as a graph rather than a table, it can often be easier to understand since the graph might show a pattern or comparison.

What is the interpretation of the graph?

The graph shows the forecasted data against the actual data. It is to be noted that the data for the actual 5-day temperatures are made-up to help the analyst understand the differences between the forecasted and the actual data.

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Alicia wanted to lose some weight, so she planned a day of exercising. She spent a total of 3 hours riding her bike and jogging. She biked for 12 miles and jogged for 12 miles. Her rate for jogging was 6 mph less than her biking rate. What was her rate when jogging?

Please answer asap thank you :)

Answers

Using the relation between velocity, distance and time, it is found that her jogging rate was of 6 mph.

What is the relation between velocity, distance and time?

Velocity is distance divided by time, hence:

[tex]v = \frac{d}{t}[/tex]

Jogging, her velocity was of v, while the time was of t, for a distance of 12 miles, hence:

[tex]v = \frac{12}{t}[/tex]

Biking, her velocity was of v + 6, while the time was of 3 - t, for a distance of 12 miles, hence:

[tex]v + 6 = \frac{12}{3 - t}[/tex]

[tex]v = \frac{12}{3 - t} - 6[/tex]

Then:

[tex]\frac{12}{t} = \frac{12}{3 - t} - 6[/tex]

[tex]\frac{12}{3 - t} - \frac{12}{t} = 6[/tex]

[tex]\frac{12t - 36 + 12t}{t(3 - t)} = 6[/tex]

18t - 6t² = 24t - 36

6t² + 6t - 36 = 0

t² + t - 6 = 0

(t + 3)(t - 2) = 0. -> t = 2 hours.

Hence her jogging rate in mph is given as follows:

[tex]v = \frac{12}{2} = 6[/tex]

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The line 2x + 3y - k = 0 bisects the line segment joining the points A(4, -3) and B(-2, 5). Find the value of k.​

Answers

Answer:

5

Step-by-step explanation:

The midpoint of segment AB is (1, 1).

Substituting these coordinates into the equation of the line,

[tex]2(1)+3(1)-k=0 \\ \\ 5-k=0 \\ \\ k=5[/tex]

2.
David swam 800 m in 20 minutes. Find his average speed in m/min.

Answers

Answer:

40 meters a minute

Step-by-step explanation:

800m - 20 min

800/20

40m-1 min

(2) Veena made 5 frocks of the same size out of 14 metres of cloth. How many metres of cloth did she use for each frock? Ans.​

Answers

Answer:

2.8 metres each

Step-by-step explanation:

14/5

2.8

PLEASE HELP FAST (6 1/7 divided by x + 3 5/9) / 4 1/6 = 1 1/3 what is x

Answers

Answer:

0.524

Step-by-step explanation:

That is the answer not really sure tho

rearrange the equation a = 1/2 b to make b the formula

Answers

Answer:

b = 2a

Step-by-step explanation:

a = [tex]\frac{1}{2}[/tex] b ( multiply both sides by 2 to clear the fraction )

2a = b

Answer: b = 2a

Step-by-step explanation:

Original equation

a = (1/2) b

Multiply 2 on both sides

a * 2 = (1/2) b * 2

[tex]\Large\boxed{b=2a}[/tex]

Hope this helps!! :)

Please let me know if you have any quesitons

PLEASE HELP ASAP!
A rancher’s herd of 250 sheep grazes over a 40-acre pasture. He would like to find out how many sheep are grazing on each acre of the pasture at any given time, so he has some images of the pasture taken by the state department of agriculture’s aerial photography division. Here are three samples of the images.

Sample 1 4
Sample 2 1
Sample 3 9

How do the sample statistics compare to the population mean and standard deviation?

Answers

The Average number of sheep grazed in per acre is 6 approx. in rancher’s herd.

According to the statement

We have given that the A rancher’s herd of 250 sheep grazes over a 40-acre pasture.

And we have to find the how many sheep are grazing on each acre.

So, For this purpose If we assume that the sheep are equally distributed, to see how many sheep there are in each acre we just divide the number of sheep by the number of acres. So,

we have to find the average of number of sheep in per acre.

We know that

The total area of the rancher’s herd = 40 acre

The number of sheep grazes in the land = 250 sheep

Now, we have to find the Average number

Average number of sheep grazed in per acre = 250/40

Average number of sheep grazed in per acre = 6 approx.

So, The Average number of sheep grazed in per acre is 6 approx. in rancher’s herd.

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a train started from Howrah to Allahabad and another train started from Allahabad for Howrah at the same time. The two trains reached their destinations in 9 hours

Answers

The speed ratio of the two trains is 4:3, that is, for every 4 hours that one train is delayed, the other is delayed 3.

How to find the speed ratio of the trains?

To find the speed ratio of the trains we must do the following operation:

V1 = [tex]\frac{x}{t} = \frac{l - x }{9}[/tex]V1 = [tex]\frac{x}{l - x} = \frac{t}{9}[/tex]

T = [tex]\frac{t}{9} = \frac{16}{t}[/tex]

V2 = [tex]\frac{x}{t} = \frac{x}{12}[/tex]

V1 : V2 = [tex]\frac{x}{12}[/tex]:[tex]\frac{x}{16}[/tex]

Note: This question is incomplete because there is some information missing. Here is the complete information in:

A train started from Howrah for Allahabad another train started from Allahabad for Howrah at the same time. The two trains reached their destinations in 9hours and 16 hours respectively after they meet each other. Find the ratio of speed of the two trains.​

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What is the radius and diameter of the following circle?
Radius = cm
diameter= cm

Answers

The value of diameter and radius of circle is 7 cm and 3.5cm.

According to the statement

we have given that the a figure of circle and we have to find the radius and the diameter of the circle.

So, We know that the

The radius of a circle runs from its center to its edge, the diameter runs from edge to edge and cuts through the center.

Here from the figure it is clear that the

Diameter of circle = 7cm

and the radius of circle we have to find

So,

Radius of circle = Diameter /2

Substitute the values in it then

Radius of circle = 7cm /2

Radius of circle = 3.5 cm.

So, The value of diameter and radius of circle is 7 cm and 3.5cm.

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Solve:|x-3|=7 pls answer

Answers

Answer:

x=10 and x=-4

Step-by-step explanation:

When the absolute value is all by itself on one side of the equation, the next step is to remove the absolute value bars. This will create TWO separate equations.

| x - 3 | = 7

x-3 = 7 This is one of the equations. Just straight up copied the equation but without the bars.

Here is the second equation:

x - 3 = -7

It is the left side copied, without the bars, but the right side has the opposite sign.

Solve these both separately to find the answers.

x-3=7 and x-3=-7

x=10 and x=-4

how do i write 4x+5y=20 in slope intercept form

Answers

Answer:

Y=mx+b

Step-by-step explanation:

The answer is y = -4/5x + 4.

We know the general form for slope intercept form is :

y = mx + c

The given equation is in standard form.

4x + 5y = 20

Bring 4x to the other side by subtracting 4x on both sides.

4x + 5y - 4x = 20 - 4x

5y = -4x + 20

Divide 5 on both sides to isolate the variable y.

5y x 1/5 = 1/5 x (-4x + 20)

y = -4/5x + 4

3 x +14 (3x-4) +3 x ( 6) +3 (х+2 )=4

Answers

The value of 'x' from the expression is 9/ 11

How to simplify the expression

Given the expression;

3 x +14 (3x-4) +3 x ( 6) +3 (х+2 )=4

First, we expand the bracket

3x + 42x - 56 + 18x + 3x + 6 = 4

collect like terms

3x + 42x + 18x + 3x - 56 + 6 = 4

Add up like terms

66x - 50 = 4

66x = 4 + 50

66x = 54

Make 'x' the subject of formula

x = 54/ 66

x = 9/ 11

Thus, the value of 'x' from the expression is 9/ 11

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Will mark brainliest!

Answers

Answer:

Area under the graph = 6 sq.units

I've shown the complete calculation over the attached page

A cone is 10cm high and has a base radius of 8cm.
Find the radius and height of a cylinder that is inscribed in the cone such that the volume of the cylinder is a maximum. Find the maximum volume of the cylinder and leave the answer in exact form.

Answers

The maximum volume of the cylinder in exact form is; V_max = 2560π/27

How to maximize the volume of a cylinder?

Let us define the variables as:

Radius of cone = r

Radius of cylinder = x

Height of Cone = h

Height of Cylinder = y

The general equation for volume of the cylinder is;

V = πx²y  

Taking a strip of both figures and relating x, y, r & h as well as using ratios of similar triangles, we have:

Height of triangle above cylinder/Base of Triangle above cylinder   =   Height of full triangle/Base of full triangle

This gives;

(h - y)/2x  = h/2r

Making y the subject gives us;

h – y = hx/r

y =  h – hx/r

y = h(1 – x/r)

Plug in y into our Volume equation:

V(x) = πx²h(1 – x/r)

V(x) = πh(x²  - x³/r)

To get maximum volume, find the derivative of the volume and solve for when the derivative equals zero:

V'(x) = πh(2x  - 3x²/r)

V'(x) = 0

Thus;

(2x  - 3x²/r) = 0

x( 2r – 3x) = 0

Thus;

x = 0 or x = 2r/3

Put x = 2r/3 in our volume equation to find V_max

V_max  = πh((2r/3)² – (2r/3)³/r)

V_max = πh(4r²/9 - 8r²/27)

V_max = πh(12r²/27 - 8r²/27)

V_max = 4πhr²/27

Thus, at r = 8 and h = 10, we have;

V_max = 4π(10)8²/27

V_max = 2560π/27

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Sue has sourced four wholesalers from where she will buy most of her stock, including arrangements with two suppliers for 30 days credit, while the others are Cash on Delivery (COD).

She has purchased her store fittings and has $15000 of stock (Stock at Valuation - or SAV), with a further $10000 on 30-day credit). The business has an operating cash reserve of $20000.



How many wholesalers require terms of cash on delivery?

Answers

The difference between the total number of wholesalers and those that supply on 30-day credit, gives the number that require cash on delivery as 2

How can the question be analyzed to find the required number of wholesalers?

The number of wholesalers Sue has sourced = 4

Terms of two suppliers = 30 days credit

Amount of stock Sue has = $15000

Amount of stock on credit = $10000

Operating cash reserve of the business = $20000

Required:

The number of wholesalers that require terms of cash on delivery

Solution:

Given that the number of wholesalers = 4

The number number of suppliers (wholesalers) that supply on 30-day credit = 2

Therefore;

The number of wholesalers that require terms of cash on delivery = 4 - 2 = 2

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Joan wants to set a 4-digit unlock code for her mobile phone. She plans to use only odd numbers and to make sure that no number is used more than once. How many different unlock codes are possible.

Answers

Answer: 120

Step-by-step explanation:

There are 5 digits that are odd, 1 3 5 7 9

There are 5 possibilities for the first digit, 4 for the second, 3 for the third, and 2 for the last, so there are 5 x 4 x 3 x 2 = 120

chef John bought 3 dozen eggs for $16.20 what is the unit price a $10.80 per 2 dozen eggs b $5.40 per 12 eggs c $0.45 per eggs d $0.22 per eggs e none of these f I don't know this yet​

Answers

Answer: C ) $0.45 per egg


3 dozen eggs = 36 eggs

Price / Units = Unit Price
$16.20 / 36 = $0.45 per egg

The unit price is the price per unit, in this case the unit is each egg.

Select the correct answer. In the given diagram, . Prove: The transversal line intersects two parallel lines m and n with values of corresponding angles are congruent pairs of corresponding angles are (1, 5), (4, 8), (3, 7), and (2, 6) Statements Reasons 1. given 2. alternate exterior angle theorem 3. ? vertical angles theorem 4. transitive property of congruence Which statement is missing in the proof? A. B. C. D.

Answers

Based on the given diagram (see attachment), the statement which is missing in the proof is: D. m∠7 ≅ m∠5.

What are parallel lines?

Parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and never meet.

The condition for two parallel lines.

In Geometry, two (2) lines are considered to be parallel if their slopes are the same (equal) and they've different y-intercepts. This ultimately implies that, two (2) lines are parallel under the following conditions:

m₁ = m₂

Note: m is the slope.

From the given diagram (see attachment), we can logically deduce that line m is parallel to line n (m || n) and a transversal line intersects both of them.

Based on these reasons, we can prove the following statements:

m || n (given)m∠1 ≅ m∠7 (alternate exterior angle theorem).m∠7 ≅ m∠5 (vertical angles theorem).m∠1 ≅ m∠7 (transitive property of congruence).

In conclusion, we can logically deduce that the statement which is missing in the proof is m∠7 ≅ m∠5.

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Answer:

here you go

Step-by-step explanation:

Write an equation for the function graphed below

Answers

f(x) = 12(x - 1)/[(x + 2)(x - 3)] is the equation of the function graphed as in the figure. This can be obtained using the formula of f(x) = P(X)/Q(X) by vertical asymptotes and factors of the polynomial.

Write an equation for the function:

Let  where P(X) and Q(X) are polynomial function.

The function has the following:

From the given graph, we can say that the vertical asymptotes x = - 2 and x = 3, this means that at values of x = -3 or x = 2, the denominator becomes zero and the function becomes undefined.

This means that, -3 and 2 are roots of the denominator. Thus, the equation of the denominator is:

Q(X) = (x + 2)(x - 3)

From the given graph, we can say that the zero is 3, P(X) has the factor (x - 3)

Let a be the leading coefficient of P(X)

P(X) = a(x - 1)

Now for finding the value of a we can rewrite the equation as,

⇒ f(x) = P(X)/Q(X)

⇒ f(x) = a(x - 1)/[(x + 2)(x - 3)]

⇒ f(0) = a(0 - 1)/[(0 + 2)(0 - 3)]

Since from the graph we can say that the y-intercept is (0, - 2), this means that when x = 0, y = -2, f(0) = - 2

⇒ - 2 = -a/[(2)(- 3)]

⇒ a = - 2 × 2 × 3

⇒ a = - 12

By putting a = -12 in f(x) we get,

⇒ f(x) = 12(x - 1)/[(x + 2)(x - 3)]

Hence f(x) = 12(x - 1)/[(x + 2)(x - 3)] is the equation of the function graphed as in the figure.

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|x-4| if x>4 please answer

Answers

Step-by-step explanation:

if , X>4

---> y= x-4

if , X<4

---> y= -(x-4)

y= 4- X

because , the value of |x-4| is Always positive ....

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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 voluntourist...encouraging 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.How does the speaker's rhetorical question in paragraph 2 support the purpose of the speech? It emphasizes the need for willing and wealthy volunteers to bring help to those less fortunate. It highlights how unfair life can be for certain groups of people throughout the world. It reinforces the idea that voluntourism can harm the people and communities it is meant to help. It reminds the audience that there are some who fight the injustice associated with voluntourism. Which construction requires both endpoints of the diameter and the points where the arcs intersect the circle to be connected, in order, by line segments? an equilateral triangle inscribed in a circle a square inscribed in a circle a similar circle inscribed in a circle a regular hexagon inscribed in a circle The u. S. Supreme court has ruled that ________ must decide the facts that lead to a death sentence. In a within-groups design, each participant experiences all levels of the . There are two types of this design. The first is the design, in which researchers expose participants to various levels of the independent variable and measure the dependent variable after each exposure. The second is the design, in which participants interact with the various levels of the independent variable simultaneously. Explain to your elderly relative, who is wondering what is the global marketplace that they keep hearing about. They have also heard about "mancession", "she-economy" and the "circular economy". They are surprised by these terms and also very puzzled. Explain to them your understanding of "mancession" the "she-economy" and the "circular economy". How are these impacting or driving business in the global marketplace or not? what is meant by unity in diversity? general term for -13, -11, -9, -7 Which element of expectancy theory could be phrased as the question, "whats the probability that, if i do a good job, that there will be some kind of outcome in it for me?" What 4 pieces of information do you need to gather while youre stopped and waiting to turn at a traffic light? A box contains orange balls and green balls. The number of green balls is seven more than four times the number of orange balls. If there are 102 balls altogether, then how many green balls and how many orange balls are there in the box? Why are businesses with product-oriented vision statements often less effective than businesses with customer-oriented vision statements? What is the theoretical yield (mass of Al2O3 formed) for this reaction? (answer is not 204)