Adjoa’s gross salary for last month was Ghc4,687.24. If Ghc421.78 was deducted from Adjoa’s salary pay, how much take-home pay did Adjoa earn this past month?

Answer:

-10

Step-by-step explanation:

Answer:

-8+(-2)

-8-2

-10

Since we are looking for a line parallel to TU, it will have the same slope of 1. Therefore, the answer is (A) 1.

In mathematics, slope is a measure of the steepness of a line. It is the ratio of the vertical change between two points on a line (the rise) to the horizontal change between the same two points (the run). The slope of a line can be positive, negative, zero, or undefined, and is often represented by the letter m.

Here,

The slope of the line that contains side TU can be found by using the slope formula:

slope = (change in y)/(change in x)

For the points T and U, the change in y is 2 and the change in x is 2, so the slope of TU is:

slopeTU = (2)/(2)

= 1

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Here we would be using the midpoint formula to find the co-ordinates of the line segment joining the two given points.

Given points,

★ We have :

★ Midpoint of two points:-

Now, refer to the attachment.

Additional Information :

★ Centroid of a triangle :-

★ Distance Formula :-

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The positive difference is 10,000. The old format had 26^3 = 17,576 possible combinations, while the new format has 26^4 = 456,976 possible combinations. The difference is 456,976 - 17,576 = 439,400, or 10,000 times the original amount.

The old format for license plates used three letters followed by three digits, which provided 26^3 = 17,576 possible combinations. The state changed the format to four letters followed by two digits, offering 26^4 = 456,976 possible combinations. This gives us a positive difference of 10,000 times the original amount, or 456,976 - 17,576 = 439,400. This increase in the number of combinations greatly increases the number of license plates available in the state.

The old license plate format of three letters followed by three digits provided an initial total of 17,576 combinations. This limits the amount of license plates available, as well as the individuality of the plates. In order to increase the number of plates and provide more individuality, the state changed the format to four letters followed by two digits. This new format increases the total number of combinations to 456,976, which is a positive difference of 439,400, or 10,000 times the original amount. This allows for more license plates to be available, as well as more individuality, as there are now 456,976 unique combinations to choose from.

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Answer:

The next term is -1.

Step-by-step explanation:

f(n + 1) = f(n) + 3

If the first term is -4, then we have

f(2) = f(1 + 1) = f(1) + 3 = f(1) + 3 = -4 + 3 = -1

Answer:

No solution, because the slopes are the same and the y-intercepts are different.

Step-by-step explanation:

The two equations are:

y = 1/4x + 1 and y= 1/4x - 1

Since the left sides are equal we can equate the right sides:
1/4x + 1 = /4x - 1

1/4x cancels out of the equation and we get the absurdity:

1 = -1

This indicates no solution to the system of equations

Answer:
No solution, because the slopes are the same and the y-intercepts are different.

We can see that the slopes are the same (1/4) and the y-intercepts are different (1 and -1)

Every polynomial function of odd degree with real coefficients will have at least one real root or zero.

This statement is known as the Fundamental Theorem of Algebra. It states that a polynomial of degree n, where n is a positive odd integer, will have at least one real root or zero.

The reason behind this is that when a polynomial of odd degree is graphed, it exhibits behavior where the graph crosses the x-axis at least once. This implies the existence of at least one real root.

For example, a polynomial function of degree 3 (cubic polynomial) with real coefficients will always have at least one real root. Similarly, a polynomial function of degree 5 (quintic polynomial) with real coefficients will also have at least one real root.

It's important to note that while a polynomial of odd degree is guaranteed to have at least one real root, it may also have additional complex roots.

The Fundamental Theorem of Algebra ensures the existence of at least one real root but does not specify the total number of roots.

In summary, every polynomial function of odd degree with real coefficients will have at least one real root or zero, as guaranteed by the Fundamental Theorem of Algebra.

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Answer: the height of this triangle is 55.4 mm

Step-by-step explanation:

\(\displaystyle\\Area\ of\ a\ triangle:\ A =\ \frac{ah}{2} \\\\Hence,\\\)

Multiply both parts of the equation by 2:

\(2A=ah\)

Divide both parts of the equation by a:

\(\displaystyle\\\frac{2A}{a} =h\\\\Thus,\ h=\frac{2A}{a} \\\\h=\frac{2(227.14)}{8.2} \\\\h=\frac{454.28}{8,2} \\\\h=55.4\ mm\)

Answer:

Step-by-step explanation:

Dont do it. Just take the detention

According to the histogram, a total of five participants had a heart rate between 120 and 130 bpm.

Review the histogram: Look at the histogram and locate the section that represents heart rates between 120 and 130 bpm.

Count the bars: Count the number of bars within that section.

Interpret the bars: Each bar represents one participant, so the total number of bars counted in the previous step represents the number of participants with heart rates between 120 and 130 bpm.

Identify the answer: The total number of bars counted is the answer to the question, which is five.

Therefore, according to the histogram, five participants had a heart rate between 120 and 130 bpm.

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The specific statistical methods and tests used may vary depending on the nature of the variables and the assumptions of the data.

If a psychologist wants to investigate the relationship between the students' test 2 scores and their blood pressure conduct a statistical analysis to determine the nature and strength of this relationship. Here's a general approach they can follow:

1.Hypothesis formulation: The psychologist needs to formulate a hypothesis about the relationship between the test 2 scores and blood pressure. For example, they might hypothesize that there is a positive correlation between the two variables, meaning that as test 2 scores increase, blood pressure also tends to increase.

2.Data collection: The psychologist samples 200 students and records their blood pressure during the final. They also note down their corresponding test 2 scores. It's important to ensure that the data collection process is standardized and accurate.

3.Data analysis: Once the data is collected, the psychologist can analyze it using statistical methods. They descriptive statistics, such as the mean, standard deviation, and range, for both the test 2 scores and blood pressure.

4.Correlation analysis: To examine the relationship between the variables, the psychologist can calculate the correlation coefficient. The most commonly used measure of correlation is the Pearson correlation coefficient (r), which ranges from -1 to +1. A positive r value indicates a positive correlation, a negative r value indicates a negative correlation, and a value close to zero suggests no or weak correlation.

5.Statistical significance testing: To determine if the observed relationship is statistically significant, the psychologist can perform a hypothesis test. The most common test for correlation is the t-test for correlation coefficients. The psychologist can calculate the p-value associated with the correlation coefficient and compare it to a predetermined significance level (e.g., 0.05). If the p-value is less than the significance level, the psychologist can reject the null hypothesis and conclude that there is a significant relationship between test 2 scores and blood pressure.

6.Effect size estimation: In addition to statistical significance, it's important to assess the practical significance or effect size of the relationship. The psychologist can calculate the coefficient of determination (r²2), which indicates the proportion of variance in one variable (blood pressure) that can be explained by the other variable (test 2 scores).

7.Interpretation: Based on the findings from the analysis, the psychologist can interpret the results and draw conclusions about the relationship between test 2 scores and blood pressure. They should consider the magnitude of the effect size, the statistical , and any limitations or potential confounding factors in their interpretation.

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The rule or function y = -3·x - 2 indicates that points on the coordinate plane are;

(0, -2), (1, -5), (2, -8), (3, -11), (4, -14), (5, -17)

A function is a definition or rule that maps an input variable to an output variable.

The points (x, y) that satisfy the rule y = -3·x - 2 can be found by plugging in different values of x to find the corresponding values of y as follows;

The rule y = -3·x - 2 is a linear function rule

When x = 0, y = -3 × 0 - 2 = -2, (0, -2)

When x = 1, y = -3 × 1 - 2 = -5, a point is (1, -5)

x = 2, y = -3 × 2 - 2 = -8, which is the point (2, -8)

x = 3, y = -3 × 3 - 2 = -11, which is the point (3, -11)

x = 4, y = -3 × 4 - 2 = -14, which is the point (4, -14)

x = 5, y = -3 × 5 - 2 = -17, which is the point (5, -17)

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Answer:

Step-by-step explanation:

The answer is postulate. That is a rule that is accepted as true without proof.

I'm going to assume you mean 3 to the power negative 5.

3^-5

Use rule [ x^-y = 1/x^y ]

3^-5 = 1/3^5 = 1/243

Best of Luck!

Answer:

0.0003

Step-by-step explanation:

Because the exponent is a negative, you are going move the three to the right. Because it is to the power of 5 you are going to move the three over 5 times. Because you are moving the three to the right, that makes it a decimal, Therefore the answer is 0.0003

Hope this helped :)

We can find percent by dividing savings by total earned. 28/350=8%

8%

--------------------

Answer:

AB = 6, BC = 6

AB = 4, AC = 4√2

BC = 2√2, AC = 4

(if im not wrong)

5,761.28 square inches of space will require the mirror to take up on the wall when Loretta wants to put a circular mirror on a wall.

We can find the space that the mirror takes up on the wall by using the area of a circle. it is given by:

A = πr^2

where

A = area of a circle

r =radius of a circle

Given data

radius of the mirror = 23 inches

The area of the mirror is:

A = π(23)^2

= 1,661π

where assume π =3.14159:

A = 1,661(3.14159)

A = 5,761.28 square inches

Therefore, the mirror will take up approximately 5,761.28 square inches of space on the wall.

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Answer:

20

Explanation:

The mirror and the frame together have a radius of 6 inches, and since the diameter of the mirror is 8 inches, the radius of the mirror is 4 inches.

To find the area of just the frame, we need to subtract the area of the mirror from the area of the frame and mirror combined.

The area of the frame and mirror combined can be calculated as the area of a circle with a radius of 6 inches:

Area of frame and mirror = πr^2 = π(6)^2 = 36π square inches.

The area of the mirror can be calculated as the area of a circle with a radius of 4 inches:

Area of mirror = πr^2 = π(4)^2 = 16π square inches.

Therefore, the area of just the frame is:

Area of frame = Area of frame and mirror - Area of mirror

= 36π - 16π

= 20π square inches.

So, the area of just the frame is 20π square inches, which is approximately 62.83 square inches if we use 3.14 as an approximate value for π.

Hopefully this helps!

Answer:

A. 15

Step-by-step explanation:

HI and IJ are both segments in the line HJ so HI and IJ combined equal the total length of HJ. This means we can write an equation using HI and IJ and setting them equal to HJ.

6x + 8 + 2x - 4 = 124

next step is to combine like terms:

8x + 4 = 124

then, subtract 4 from both sides.

8x + 4 = 124

     -4       -4

8x = 120

finally, divide both sides by 8.

8x/8 = 120/8

x = 15

since it is equal to x, 15 is your solution!

Answer:

It's between 0 and 1

Step-by-step explanation:

1/64 = 0.015625

The net present value of the machine is rounded to the nearest dollar is $-76,447.56.

Net gift fee is the prevailing fee of after-tax coins flows from an funding much less the quantity invested.

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The equation that represents the given situation is required.The cost of the ticket after L losses is a. Initial cost of the ticket = $49.64Price decrease per game lost = $0.41Number of games lost = LMoney lost after L losses is So, the cost of the ticket after L losses would be the initial cost of the ticket minus the money lost after L losses.The cost of the ticket after L losses is a. 

Therefore, the wavelength of the photon is 13.55 micrometers.

To calculate the wavelength of a photon with a momentum of 4.9×10−29 kg⋅m/s, we can use the formula λ = h/p, where λ is the wavelength, h is Planck's constant, and p is the momentum. Substituting the given values, we get:
λ = h/p = (6.626×10−34 J⋅s) / (4.9×10−29 kg⋅m/s)
Simplifying this expression, we get:
λ = 1.355×10−5 m
To convert this to micrometers, we need to multiply by 10^6, so:
λ = 13.55 micrometers
Involves the use of variables (momentum, wavelength, and Planck's constant) and micrometers as a unit of measurement.

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Answer:

The major field of anthroplogy and evolutionary and paleo anthropological perspectives on the origin of humankind

Answer:

\(15\frac{8}{9}\)  < 5b

Step-by-step explanation:

       15 8/9 less than the product of 5 and a number b ​

 Product of 5 and a number b;

      5 x b  = 5b

Now,

     \(15\frac{8}{9}\)  less than

       \(15\frac{8}{9}\)  < 5b

The algebraic expression is  \(15\frac{8}{9}\)  < 5b

When a number is less than another, the other number is greater.

If the polynomial p(x) is divided by (x-1) three times and has a remainder of 1 at the end, then -1 is a double root of p(x). This means that (x+1) is a factor of p(x) raised to the power of 2.

When a polynomial is divided by (x-1), the remainder represents the value of the polynomial at x=1. Since the remainder is 1, it implies that p(1) = 1. Dividing p(x) by (x-1) three times indicates that the polynomial has been factored by (x-1) three times. Consequently, the polynomial can be written as p(x) = (x-1)^3 * q(x) + 1, where q(x) is the quotient obtained after dividing p(x) by (x-1) three times. Since the remainder is 1, it means that when x=1, p(x) leaves a remainder of 1.

Thus, (1-1)^3 * q(1) + 1 = 1, which simplifies to q(1) = 0. This implies that (x-1) is a factor of q(x), meaning that q(x) can be written as q(x) = (x-1) * r(x), where r(x) is another polynomial.

Substituting this into the earlier expression for p(x), we get p(x) = (x-1)^3 * (x-1) * r(x) + 1. Simplifying further, p(x) = (x-1)^4 * r(x) + 1. Now, we can see that p(x) is divisible by (x+1) since (x+1) is a factor of (x-1)^4, and the remainder is 1. Therefore, -1 is a double root of p(x) because (x+1) appears twice in the factored form of p(x).

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The length of the line segment B'C' is 3 units.

We can see that from the given graph that,

The coordinates of the points are:

B = (-2, 6)

C = (-2, 3)

If we translate the points 5 units to the right then the changed coordinates will be -

B' = (-2 + 5, 6) = (3, 6)

C' = (-2 + 5, 3) = (3, 3)

So the length of the B'C' is given by,

B'C' = √((3 - 3)² + (6 - 3)²) = √(0² + 3²) = √(0 + 9) = √9 = 3 units.

Hence the length of the line segment B'C' is 3 units.

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false                              .          ...............          .        

Answer:

This statement is false. A reflection is a figure that results from applying a transformation.

Step-by-step explanation: