#3
(21) Although Uganda is recovering from years of war, the nation is still
plagued by poverty, many workers earn no more than a dollar a day. (22) Soap is
available, but at a cost of 25 cents per bar, most people cannot afford to buy it.
(23) Kayongo began to ask, "What if we took some of this soap and recycled it,
made brand-new soap from it, and then sent it home to people who couldn't afford
soap?" (24) This simple question led to the founding of a nonprofit organization
the Global Soap Project.
What is the correct way to write sentence 21?
F Although Uganda is recovering from years of war, the nation is still plagued by poverty.
With many workers earning no more than a dollar a day.
G Although Uganda is recovering from years of war. The nation is still plagued by poverty,
and many workers earn no more than a dollar a day.
H Although Uganda is recovering from years of war, the nation is still plagued by poverty.
Many workers earn no more than a dollar a day.
3 The sentence is written correctly in the paper.

The proportion is 2 : 3 and the scale model is represented by the Black tabletop color

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the scale of the color tabletop be represented as a : b

Now , the proportion will be

The scale model of the tabletop is given by A : B = 4 inches by 6 inches

So , the proportion is 4/6 = 2 : 3

And , the black tabletop has an original size of 32 inches by 48 inches

Substituting the values in the equation , we get

4 inches by 6 inches is proportional to 32 inches by 48 inches

On simplifying the equation , we get

4/6 = 32/48

2/3 = 16/24

2/3 = 8/12

2/3 = 2/3

Hence , the proportion is 2 : 3

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The solution of the algebraic equation is (2, 1)

From the question, we have the following parameters that can be used in our computation:

x + y = 3

x - 2y = 0

In the above equations we can see that

Both equations have different slopes and they are linear equations

This means that they would intersect at a point

From the graph, we have the intersectoon point to be (2, 1)

Hence, the solution is (2, 1)

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To calculate the Value-at-Risk (VaR) for this investment at a 99% confidence level, we need to determine the loss amount that will be exceeded with a probability of only 1% (i.e., the worst-case loss that will occur with a 1% chance).

Given that there is a 0.5% chance of a loss of $10 million and a 99.5% chance of a loss of $1 million, we can express this as:

Loss Amount | Probability

$10 million | 0.5%

$1 million | 99.5%

To calculate the VaR, we need to find the loss amount that corresponds to the 1% probability threshold. Since the loss of $10 million has a probability of 0.5%, it is less likely to occur than the 1% threshold. Therefore, we can ignore the $10 million loss in this calculation.

The loss of $1 million has a probability of 99.5%, which is higher than the 1% threshold. This means that there is a 1% chance of the loss exceeding $1 million.

Therefore, the Value-at-Risk (VaR) for this investment at a 99% confidence level is $1 million.

The Value-at-Risk (VaR) for this investment at a 99% confidence level is $1,045,000.

To calculate the Value-at-Risk (VaR) for this investment at a 99% confidence level, we need to determine the loss amount that will be exceeded with only a 1% chance.

Given that the investment has a 0.5% chance of a loss of $10 million and a 99.5% chance of a loss of $1 million, we can calculate the VaR as follows:

VaR = (Probability of Loss of $10 million * Amount of Loss of $10 million) + (Probability of Loss of $1 million * Amount of Loss of $1 million)

VaR = (0.005 * $10,000,000) + (0.995 * $1,000,000)

VaR = $50,000 + $995,000

VaR = $1,045,000

Therefore, the Value-at-Risk (VaR) for this investment at a 99% confidence level is $1,045,000.

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It will take 2 days for the car to cover the route.

To determine how many days it will take a car to cover a route of length M kilometers, we need to use the given formula:

Distance = Rate × Time

where distance is M kilometers, and rate is N kilometers per day.

We want to find the time in days.

Therefore, rearranging the formula, we have: Time = Distance / Rate

Substituting the given values, we get: Time = M / N

Therefore, the function days(n, m) that returns the number of days to cover the route can be defined as follows: def days(n, m):    return m / n

Now, let's use this function to calculate the number of days it will take for a car that covers a distance of 700 kilometers per day to cover a route of length 750 kilometers:

days(700, 750) = 1.0714...

Since the number of days should be a whole number, we need to round up the result to the nearest integer using the ceil function from the math module: import mathdef days(n, m):    return math.ceil(m / n)

Now, we can calculate the number of days it will take for a car that covers a distance of 700 kilometers per day to cover a route of length 750 kilometers as follows: days(700, 750) = 2

Therefore, it will take 2 days for the car to cover the route.

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cos W expressed as a fraction in simplest form is cos W = 4/5

Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles.

Using Pythagoras' theorem:

UW = √(4²+3²)

UW = 5 units

Using trigonometric ratio:

cos W = UV/UW (Cosine = opposite/hypotenuse)

cos W = 4/5

Thus, cos W can be expressed as a fraction in simplest form as cos W = 4/5

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Answer:

y=2 is the slope

Step-by-step explanation:

From the given data of room ,ceiling , windows and door , the area of the four walls and ceiling to be painted is equal to 783.75 ft².

As given in the question,

Room is 14ft by 20 ft

Height of the room = 8ft

Two windows are of 3ft by 4ft

Door is 2.5ft by 6.5ft

Area of the four walls = 2 (14 × 8) + 2(20×8)

                                  = 224 +320

                                  = 544ft²

Area of the ceiling = 14 × 20

                             = 280ft²

Area of two windows = 2(3×4)

                                  =24ft²

Area of the door= 2.5 ×6.5

                         =16.25ft²

Total area to be painted = ( 544 + 280 -24-16.25 )

                                      = 783.75 ft²

Therefore, the total area of the four walls and ceiling to be painted is equal to 783.75 ft².

The complete question is :

A room is 14ft by 20ft. It needs to be painted. The ceiling is 8ft above the floor. There are two windows in the room, each one is 3ft by 4ft. The door is 2.5ft by 6.5ft.

a. find the total area of the four walls and ceiling to be painted?

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Answer:

Question 2: 6x-21

Question 1: -9x+3

Step-by-step explanation:

Answer: $78 for 19 months

Step-by-step explanation:

$40 for sig-up

$2 monthly fee

Duration: 19 months

Total cost

 \(= 40 + 2(19)\\= 40 + 38\\= 78\)

Answer:

ok im telling people to help u because i dont know that xd

Step-by-step explanation:

Answer:

112°

Step-by-step explanation:

Arc CD is part of arc BCD, which is intercepted by the inscribed angle A.

Based on the inscribed angle theorem on circle, the sum of arc CD and CB is twice the measure of angle A.

That is:

CD + CB = 2(129°)

CD + 146 = 2*129

CD + 146 = 258

Subtract 146 from both sides to find CD

CD + 146 - 146 = 258 - 146

CD = 112°

By simple algebra, Jane is 57 9/20 inches taller.

If one object or person's height exceeds that of another, the taller object or person is said to exist. There is a two-object or two-person limit. Taller is a relative term. For instance: Hoppy stands at 7 feet.

You can begin this issue by first figuring out Dwight's height. At 54 3/4 inches, he would be 1 1/2 inches taller than Chloe:

54 3/4 plus 1 1/2 equals 55 + (3/4 + 1/2) equals 55 + (3/4 + 2/4) equals 55 + 5/4 equals 56 1/4 inches.

Dwight stands at 56 1/4 inches.

Dwight is 1 1/5 inches shorter than Jane, so

56 1/4 plus 1 1/5 is 57 plus (1/4 plus 1/5) is 57 plus (5/20 plus 4/20) is 57 plus 9/20 is 57 9/20 inches.

Jane stands at 57 9/20 inches.

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The exponential function:

y = 5*2ˣ

Given,

(1,10) and (4,80)

Exponential function:

y = abˣ

Ordered pairs given:

(1, 10) and (4, 80)

Substitute x and y values to get below system:

10 = ab

80 = ab⁴

Divide the second equation by the first one and solve for b:

80/10 = b³

b³ = 8

b = ∛8

b = 2

Use the first equation and find the value of a:

10 = a*2

a = 5

Thus function is:

y = 5*2ˣ

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Answer:

B

Step-by-step explanation:

given

tanΘ = \(\frac{3\sqrt{5} }{2}\) = \(\frac{opposite}{adjacent}\)

this ratio relates to a right triangle, with hypotenuse h and

legs 3\(\sqrt{5}\) and 2

using Pythagoras' identity in the right triangle

h² = (3\(\sqrt{5}\) )² + 2² = 45 + 4 = 49 ( take square root of both sides )

h = \(\sqrt{49}\) = 7

then

cosΘ = \(\frac{adjacent}{hypotenuse}\) = \(\frac{2}{7}\)

Answer:

Median: 15

Range: 9

25th: 14

75th: 17

IQR: 3

Answer:

57.77% out of 100

john's father would pick pink because pink is in less number

Answer:

25%

Step-by-step explanation:

20 divided by 8 times 100 take away the zero

percentage = part/whole x 100

Answer:

Statement #1. JK is congruent to LK, JM is congruent to LM

Reason #1. Given

Statement #2. KM=KM

Reason #2. Reflexive property of equality

Statement #3. Triangle KMJ is congruent to triangle KML

Reason #3. Side, Side, Side triangle congruency theorem.

Statement #4. <J is congruent to <L

Reason #4. Corresponding angles of congruent triangles are congruent.

Step-by-step explanation:

Answer:

A 180° rotation of then a dilation by a scale factor of one-third

Step-by-step explanation:

The coordinates of the vertices of ΔABC are;

A(-9, 3), B(-9, 6), and C(0, 3)

The coordinates of the vertices of ΔA'B'C' are;

A'(3, -1), B'(3, -2), and C'(0, -1)

We note that for a 180° rotation transformation about the origin, we get;

Coordinates of preimage = (x, y)

Coordinates of image after 180° rotation about the origin = (-x, -y)

Therefore, a 180° rotation of ΔABC about the origin, would give ΔA''B''C'' as follows;

A(-9, 3), B(-9, 6), and C(0, 3) = A''(9, -3), B''(9, -6), and C''(0, -3)

The formula for a dilation of a point about the origin is given as follows;

\(D_{O, \, k} (x, \, y) = (k\cdot x, \, k\cdot y)\)

Where;

k =The scale factor = 1/3, (one-third) we have;

A dilation of ΔA''B''C'', by a scale factor of 1/3, we get ΔA'B'C' as follows;

\(D_{O, \, \frac{1}{3} } A''(9, \, -3) = A'(\frac{1}{3} \times 9, \, \frac{1}{3} \times -3) = A'(3, -1)\)

\(D_{O, \, \frac{1}{3} } B''(9, \, -6) = B'(\frac{1}{3} \times 9, \, \frac{1}{3} \times -6) = A'(3, -2)\)

\(D_{O, \, \frac{1}{3} } C''(0, \, -3) = C'(\frac{1}{3} \times 0, \, \frac{1}{3} \times -3) = C'(0, -1)\)

The coordinates of the vertices of ΔA'B'C' are A'(3, -1), B'(3, -2), and C'(0, -1), which is the same as the required coordinates of the image;

Therefore, the transformation that can be performed to show that ΔABC and ΔA'B'C' are similar are rotating ΔABC by 180°  then a dilating the image derived after rotation by a scale factor of one-third (1/3) we get ΔA'B'C'.

Answer:

D

Step-by-step explanation:

The expected value of the cash prize at the fundraiser is $2.

The expected value can be calculated by multiplying the probability of each outcome by its corresponding monetary value, and then summing up these values. In this case, the probability is determined by the number of tickets sold, and the monetary value is the cash prize.

To find the expected value, we need to calculate the product of the probability and the cash prize for each possible outcome. Since there are 1700 tickets sold, each with a $9 price, the probability of winning the cash prize is 1/1700. Therefore, the expected value can be calculated as:

Expected Value = (Probability of winning) * (Cash prize)

= (1/1700) * $3400

= $2

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Step-by-step explanation:

Simply graph the two equations....the intersection of the two graphs is the solution

Answer:

Here's how to subtract 3/8 from 8/12:

8

12

−

3

8

Step 1

We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we multiply 8 by 8, and get 64.

Then we multiply 3 by 12, and get 36.

Next we give both terms new denominators -- 12 × 8 = 96.

So now our fractions look like this:

64

96

−

36

96

Step 2

Since our denominators match, we can subtract the numerators.

64 − 36 = 28

So the answer is:

28

96

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing it by 2...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

28

96

÷ 2 =

14

48

Let's try dividing by 2 again...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

14

48

÷ 2 =

7

24

Let's try dividing by 2 again...

Nope! So now we try the next greatest prime number, 3...

Nope! So now we try the next greatest prime number, 5...

Nope! So now we try the next greatest prime number, 7...

Nope! So now we try the next greatest prime number, 11...

No good. 11 is larger than 7. So we're done reducing.

There you have it! The final answer is: 0.29166666666

Answer:

  (x, y) ≈ (-1.77, 0.17)

Step-by-step explanation:

You want to solve the system of equations ...

Multiplying by 5, these equations can be written in general form as ...

Then the solution using the cross multiplication method is ...

  ∆ = (11)(-62) -(24)(9) = -898

  ∆x = (9)(53) -(-62)(18) = 1593

  ∆y = (18)(24) -(53)(11) = -151

And the values of x and y are ...

  x = ∆x/∆ = 1593/-898 ≈ -1.7739 ≈ -1.77

  y = ∆y/∆ = -151/-898 ≈ 0.1682 ≈ 0.17

The solution, rounded to 2 decimal places, is (x, y) = (-1.77, 0.17).

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Answer:

75.39 in^2 (round to the nearest hundreds)

Step-by-step explanation:

I think that we have to find the lateral area

circumference = 2 x radius x pi = 2 x 4 x pi = 25,13 in^2 (round to the nearest hundreds)

lateral surface = (circumference x slant height)/2 = (25,13 x 6)/2 = 75,39 in^2 (round to the nearest hundreds)

Answer:

x=2

Step-by-step explanation:

10(3x−4)=30−5x

Step 1: Simplify both sides of the equation.

10(3x−4)=30−5x

(10)(3x)+(10)(−4)=30+−5x(Distribute)

30x+−40=30+−5x

30x−40=−5x+30

Step 2: Add 5x to both sides.

30x−40+5x=−5x+30+5x

35x−40=30

Step 3: Add 40 to both sides.

35x−40+40=30+40

35x=70

Step 4: Divide both sides by 35.

 35x         70

____   = _____

 35            35  

x=2

Please mark as brainliest if answer right

Have a great day, be safe and healthy  

Thank u  

XD

Really sorry if it is complicated

Step-by-step explanation:

(x+6)(x−4)

x²- 4x+6x - 24

x² + 2x - 24

Answer:

x²+2x-24

Step-by-step explanation:

see attachment below

Answer:

The answer it probably is C.

Step-by-step explanation:

Just add 16+16+16= 48. Hope this helps

Answer:

The answer is C... 16 units.

Step-by-step explanation:

I had this question on my test and got it correct.

By using these types of data, you can effectively conduct quarterly disaster recovery tests that include role-playing and introduce realism without affecting live operations.

To conduct quarterly disaster recovery tests that include role-playing and introduce as much realism as possible without affecting live operations, you should use the following types of data:

1. Non-sensitive test data: Create a set of test data that closely resembles your live data but does not contain any sensitive or confidential information. This allows you to simulate realistic scenarios without risking exposure of important information.

2. Anonymized data: If possible, use anonymized data from your actual operations. This involves removing or replacing any identifiable information to protect privacy while maintaining the overall structure and characteristics of the data.

3. Data backups: Utilize data backups to replicate your live environment. This ensures that the testing environment is as close to the live environment as possible, allowing for more accurate testing results.

4. Synthetic data: Generate synthetic data that closely mimics your live data, with similar patterns and characteristics. This can be a useful alternative if actual data is not available or suitable for testing purposes.

By using these types of data, you can effectively conduct quarterly disaster recovery tests that include role-playing and introduce realism without affecting live operations.

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It takes approximately 1.2 minutes to move the cans to the storage area when both conveyor belts are used.

We can begin the problem by using the formula:

work = rate x time

Let's denote the rate of the first belt as R1 and the rate of the second belt as R2. Then, we can write:

R1 = 200 pounds / 2 minutes = 100 pounds per minute

R2 = 200 pounds / 3 minutes ≈ 66.67 pounds per minute

When both belts are used, they work together to move the same 200 pounds of cans. Therefore, we can add their rates to get the total rate:

R = R1 + R2 = 100 + 66.67 = 166.67 pounds per minute

To find the time it takes to move the cans to the storage area, we can rearrange the formula:

time = work / rate

The total work is 200 pounds, so we have:

time = 200 pounds / 166.67 pounds per minute ≈ 1.2 minutes

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Answer:

D. -3x² + 6x - 12

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

(-2x - 3) - (3x² - 8x + 9)

Step 2: Simplify