2. Kyle submits a design for the contest, but his
explanation was misplaced. How can Figure A be
mapped onto Figure B? Can any other transformation be
used to map Figure A onto Figure B?

The Deposit Fees 15% VAT amount on goods sold at a VAT-inclusive price of R1,500 would be approximately R195.65.

To answer the questions using the provided information, we'll refer to TABLE 2 for the deposit fees.1.2.1 The minimum amount one will pay when making a deposit of notes and coins:

Notes: R2.25 per R100 or part thereof

Coins: R5 per R100 or part thereof

Therefore, the minimum amount one will pay depends on the value of the deposit. For notes, it will be R2.25 per R100 or part thereof, and for coins, it will be R5 per R100 or part thereof.

1.2.2 To determine if Mr Mbhalati's statement is valid, let's calculate the deposit fees for his deposit of notes and coins.

Deposit of notes:

Deposit amount: R1,500

Deposit fee for notes: R2.25 per R100 or part thereof

Calculation:

Deposit fee = (Deposit amount / 100) * Deposit fee per R100

= (1500 / 100) * 2.25

= 33.75

Deposit of coins:

Deposit amount: R500

Deposit fee for coins: R5 per R100 or part thereof

Calculation:

Deposit fee = (Deposit amount / 100) * Deposit fee per R100

= (500 / 100) * 5

= 25

Total deposit fee = Deposit fee for notes + Deposit fee for coins

= 33.75 + 25

= 58.75

Therefore, Mr Mbhalati's statement is not valid. The total deposit fee for his deposit of notes to the value of R1,500 and R500 in coins would be R58.75, not R180.

1.2.3 To calculate the 15% VAT on the amount of goods sold at a VAT-inclusive price:

Amount from the sale of goods: R1,500

Calculation:

VAT amount = (Amount from the sale of goods / (100 + VAT rate)) * VAT rate

= (1500 / (100 + 15)) * 15

= (1500 / 115) * 15

≈ 195.65

Therefore, the Deposit Fees 15% VAT amount on goods sold at a VAT-inclusive price of R1,500 would be approximately R195.65.

1.2.4 One method Mr Mbhalati can use to send money to a person who does not have a bank account is by using a money transfer service like Western Union or MoneyGram. These services allow individuals to send money to recipients who can collect it in cash from designated locations, even if they don't have a bank account.

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(a) The value of Zdz for the circle [z] = 2 traversed once counterclockwise is 0. (b) The value of Zdz for the circle [z] = 2 traversed once clockwise is 0. (c) The value of Zdz for the circle [z] = 2 traversed three times clockwise is 0.

The integral of Zdz around a closed curve in the complex plane is known as the contour integral. In this case, the circle [z] = 2 is a closed curve, and since it is traversed an equal number of times in both the clockwise and counterclockwise directions, the value of Zdz is 0. This is a consequence of Cauchy's theorem, which states that if a function is analytic within and on a simple closed curve, then the integral of the function around the curve is 0. Since the function Z is analytic within and on the circle [z] = 2, the integral of Zdz around the circle is 0.

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The speed of the planes are:

Two planes fly towards each other, and they are 1780 miles apart. If they pass each other in 2 hours, and their speeds differ by 40mph, we must find out the speed of each.

For the speed of each plane, we can use the formula:

D = R × T

Where, D = Distance, R = rate and T= time

Here, D = 1780 miles

T = 2 hours

Let's assume that the speed of one plane is 'x' mph. Then the speed of the second plane would be 'x + 40' mph.

Both planes are flying toward each other, so we must add up their speeds to find the combined speed of both planes.

Rate or Speed of Plane 1 = x mph

Rate or Speed of Plane 2 = x + 40 mph

Combined Speed = (x + x + 40) mph ⇒ (2x + 40) mph

According to the question, the two planes covered a distance of 1780 miles. We can write it down as:

2x + 40 = 1780

2x = 1780 - 40

2x = 1740

x = 870

The speed of one plane is 870 mph.

Therefore, the speed of the second plane would be:

x + 40 = 870 + 40 = 910 mph

Hence, the speed of each plane is 870 mph and 910 mph, respectively.

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Answer:

The width is 6 and the length is 9.

Step-by-step explanation:

Factors of 54: (1, 54), (2, 2), (3, 18), and (6, 9)

6 and 9 would work because 6+3=9

Answer:

The answer is 22

Step-by-step explanation:

b=5  c=2

5*2+12

10+12=22

The probability that a person who tests positive has the disease is 0.032

we can use Bayes' theorem. Let's denote the following events

A: A person has the disease

B: The person tests positive

We are given the following probabilities

P(A) = 2% = 0.02 (probability of a person having the disease)

P(B|A) = 91.4% = 0.914 (probability of testing positive given that the person has the disease)

P(B|not A) = 4.2% = 0.042 (probability of testing positive given that the person does not have the disease)

We want to find P(A|B), the probability that a person has the disease given that they test positive.

By Bayes' theorem, we have

P(A|B) = (P(B|A) × P(A)) / P(B)

P(B), the probability of testing positive, we can use the law of total probability

P(B) = P(B|A) × P(A) + P(B|not A) × P(not A)

P(not A) represents the complement of having the disease, which is 1 - P(A).

Substituting the values

P(B) = (0.914 × 0.02) + (0.042 × (1 - 0.02))

P(B) = 0.01828 + 0.04116

P(B) = 0.05944

Now, let's calculate P(A|B)

P(A|B) = (0.914 × 0.02) / 0.05944

P(A|B) = 0.01828 / 0.05944

P(A|B) ≈ 0.032

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Answer:

200 Recyclables Items

Step-by-step explanation:

The first step is to find the common ratio using this formula

Common ratio= Numbers of recyclable items/Number of minutes it takes to sort the recyclable item

Let plug in the formula

Common ratio =150/3 = 50

This means that we have 50 Recyclables Items per minute.

Now let calculate how many recyclable items that Faye can sort in 4 minutes

This means we are going to multiply 4 minutes by the 50 recyclable items per minutes

Hence,

4 * 50 = 200 Recyclables Items

Therefore Based on the ratio shown in the double number line, this means that Faye can sort 200 recyclable item in 4 minutes

Answer: 200

Step-by-step explanation: Since 150 divided by 3 is 50 add a 50 to 150 and you get 200

The inverse of the matrix M does not exist. To find the inverse of a matrix, we can use the formula: M^(-1) = 1/|M| * adj(M)

where |M| is the determinant of M and adj(M) is the adjoint of M. The adjoint of a matrix is the transpose of its cofactor matrix.

In this case, the determinant of M is 0. This means that M is not invertible and therefore M^(-1) does not exist.

Here is why the determinant of M is 0. The determinant of a 3x3 matrix can be computed using the following formula:

|M| = a11 * a22 * a33 + a12 * a23 * a31 + a13 * a21 * a32 - a13 * a22 * a31 - a12 * a21 * a33 - a11 * a23 * a32

where a11, a12, a13, a21, a22, a23, a31, a32, and a33 are the elements of the matrix M. In this case, the elements of M are 1, 12, 2, 210, 0, and 22. Substituting these values into the formula for the determinant, we get:

```

|M| = 1 * 22 * 22 + 12 * 0 * 2 - 2 * 12 * 21 = 0

```

Therefore, the determinant of M is 0 and M is not invertible.

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Answer:

-15

Step-by-step explanation:

Answer:

the distance between the two points are 2√85 or18.43908891

The type of queuing model applying for the  arrival rate of customers follows a poisson distribution is "M/M/2".

When consumers arrive at random to obtain a service and the service time is also a random variable, a queuing model is an appropriate model to represent the situation.

For the stated question-

Thus, the kind of queuing model uses is "M/M/2".

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Answer:

272 bison

Step-by-step explanation:

y(5)=240\((1+0.025)^{5}\)

y(5) = 271. 5 bison ≈272 bison

Answer:

y=50x+120

Step-by-step explanation:

y is the ending altitude

x is the number of hours the climber has climbed

put 50 before x because that how fast the climber is climbing

then 120 is your y intercept  

The particular antiderivative that satisfies the given condition is: C(x) = (4/9)x^4 - (9/8)x^3 + K1x + 2000

To find the particular antiderivative (or integral) of the given derivative \(C''(x) = 4x^2 - 3x\)  that satisfies the condition C(0) = 2000, we need to integrate the given function twice.

First, we integrate C''(x) to find C'(x):

\(C'(x) = ∫ (4x^2 - 3x) dx\)

To find the antiderivative of \(4x^2\), we use the power rule for integration: the power of x increases by 1 and is divided by the new power. Similarly, the antiderivative of -3x is \(-(3/2)x^2\).

\(C'(x) = ∫ (4x^2 - 3x) dx = (4/3)x^3 - (3/2)x^2 + K1\)

Here, K1 is the constant of integration. Next, we integrate C'(x) to find C(x):

\(C(x) = ∫ (C'(x)) dx = ∫ ((4/3)x^3 - (3/2)x^2 + K1) dx\)

To find the antiderivative of \((4/3)x^3\), we again use the power rule for integration. Similarly, the antiderivative of \(-(3/2)x^2\) is \(-(3/2)(1/3)x^3\).

The constant of integration K1 will also be integrated with respect to x, resulting in another constant of integration, K2.

\(C(x) = (1/3)(4/3)x^4 - (1/2)(3/2)x^3 + K1x + K2\)

Simplifying further, we have:

\(C(x) = (4/9)x^4 - (9/8)x^3 + K1x + K2\)

Now, we can apply the initial condition C(0) = 2000 to find the particular solution for K2:

\(C(0) = (4/9)(0)^4 - (9/8)(0)^3 + K1(0) + K2 = 2000\)

Since all the terms involving x become zero when x = 0, we have:

K2 = 2000

Therefore, the particular antiderivative that satisfies the given condition is: \(C(x) = (4/9)x^4 - (9/8)x^3 + K1x + 2000\)

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Answer:

Exact Form:

7 /4

Decimal Form:

1.75

Mixed Number Form:

1  3 /4

Step-by-step explanation:

:)

Answer:

Solution given;

Cos (x-\(\frac{5}{6}\))=\(\frac{\sqrt{2} }{2}\)

Cos (x-\(\frac{5}{6}\))=Cos45°

equating corresponding value

(x-\(\frac{5}{6}\))=45°

x=45°+5/6

x=45.83°

Answer:  SR = 42

Step-by-step explanation:

8x-6 = 36  + x

subtract x

8x - x - 6 =  36 + x - x

(Note +x -x = 0, same goes to any number or variable.)

7x - 6 =  36

add 6

7x  - 6 + 6 = 36 + 6

7x = 42

7x/7 = 42/7

x = 6

So far we found x, so now we would put x in SR which is 8x - 6

SR = 8x - 6

SR = 8(6)  - 6

SR = 48  - 6

SR =  42.

Therefore SR is 42.

The probability that the chip drawn from urn II is red is 4/15. Let's call the event that the chip drawn from urn I and transferred to urn II is red "R1", and the event that the chip drawn from urn II is red "R2".

The probability of event R1 is 2/6 = 1/3.

Given that event R1 has occurred, the number of red chips in urn II becomes 4, and the number of total chips becomes 4+1=5. The probability of event R2 is 4/5 = 4/5.

The probability of both events occurring is (1/3) * (4/5) = 4/15.

So, the probability that the chip drawn from urn II is red is 4/15.

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The culture change movement in healthcare is a movement that emerged in the United States during the late 1980s and early 1990s.

This movement is founded on the belief that care for the elderly should be more personalized, be provided in an atmosphere that feels like home, and take into account the individuality and personal preferences of the elderly person. The three core principles of the Culture Change movement are as follows:1. Person-centered care.

Person-centered care is one of the core principles of the culture change movement in healthcare. Person-centered care involves treating individuals with dignity and respect, recognizing their individuality, and offering personalized care to meet their unique needs and preferences. Person-centered care also includes giving individuals a say in their care and making sure that they have the ability to make informed choices about their care.

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Step-by-step explanation:

well it is kindof

Answer:

A)

Step-by-step explanation:

just look at the picture.

what must have happened to figure A to turn into figure B ?

is B more to the right or to the left of A ?

well, right. isn't it obvious ?

and when you look at the coordinates of a vertex, it is 3 units to the right of A.

and if the shift to the right had not happened - the 2 figures would be a mirrored image of each other with the x-axis being the mirror.

that is why A) is the right answer.

Step-by-step explanation:

the answer is correct l

Each point in a scatter plot represents a single observation of the two numerical variables being plotted.

The x-coordinate of the point represents the value of one variable, and the y-coordinate represents the value of the other variable. The position of the point on the plot provides information about the relationship between the two variables for that particular observation.

A scatter plot is a useful tool for visualizing the relationship between two numerical variables because it allows us to easily see patterns in the data. The position of each point on the plot represents the values of the two variables for a single observation, which makes it easy to spot trends or clusters in the data. By plotting multiple points on the same graph, a scatter plot allows us to see patterns that might be difficult to discern from a list of raw data. Additionally, it can help identifying outliers, correlation, and distribution of the data.

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Answer:

-1+2-4+8-10+12-14+16-18+20

=

-47+68

= +21

hope youlike this

stay at home stay safe

keep rocking

Answer:

45°

Step-by-step explanation:

sin∠U = 5√2 / 10 = √2/2

m∠U = sin⁻¹(√2/2) = 45°

The unknown angles in the triangles are as follows:

interior angle = 84.5 degrees

Exterior angle = 124.5 degrees

The triangle exterior angles theorem can be used to find the variable in the triangle.

Therefore, the exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.

Hence, let's find the variable x in the triangle.

37 + 3x + 47 = 5x + 62

87 + 3x = 5x + 62

5x - 3x = 87 - 62

2x = 25

divide both sides by 2

x = 25 / 2

x = 12.5

Therefore, let's find the angles

3x + 47 = 3(12.5) + 47 = 84.5 degrees

5x + 62 = 5(12.5) + 62 = 124.5 degrees

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This probability can be found by subtracting the area to the left of -0.55 from the area to the left of 0.50.

The probability that a randomly selected adult has an IQ between 89 and 110, given a normal distribution with a mean of 100 and a standard deviation of 20, can be determined by calculating the area under the normal curve between these two IQ values.

In order to find this probability, we need to standardize the IQ values using z-scores. The formula for calculating the z-score is:

z = (x - μ) / σ

where x is the IQ value, μ is the mean, and σ is the standard deviation.

For the lower IQ value of 89, the z-score is (89 - 100) / 20 = -0.55, and for the higher IQ value of 110, the z-score is (110 - 100) / 20 = 0.50.

Using a standard normal distribution table or a calculator that provides the area under the curve, we can find the probabilities associated with these z-scores.

The probability of a randomly selected adult having an IQ between 89 and 110 is equal to the area under the curve between the z-scores of -0.55 and 0.50. This probability can be found by subtracting the area to the left of -0.55 from the area to the left of 0.50.

The first paragraph summarizes the problem and states that the task is to find the probability that a randomly selected adult has an IQ between 89 and 110.

The second paragraph explains the steps involved in calculating this probability, including standardizing the IQ values using z-scores and finding the corresponding probabilities using a standard normal distribution table or calculator.

The final step is to subtract the area to the left of the lower z-score from the area to the left of the higher z-score to obtain the probability.

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The default alternative hypothesis tested for regression (slope) coefficients in a standard regression output is that the slope coefficient is not equal to zero.

In other words, the alternative hypothesis (H1) states that there is a significant relationship between the independent variable and the dependent variable. This can be represented as:

H1: β ≠ 0

Where β is the regression slope coefficient.

This hypothesis is tested against the null hypothesis (H0) that states there is no significant relationship between the variables, and the slope coefficient is equal to zero:

H0: β = 0

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