Write an equation of the line containing the given point and parallel to the given line. Express your answer in the form y=mx+b (3.5). x + 2y = 5

The total number of kilometres that Calvin has swum in these competitions would be = 3 kilometres.

The total number of 400 meters races he covered = 5

The total number of 200 meters races he covered = 5

Therefore the total meters he swum;

= (400×5) + (200×5)

= 2000+1000

= 3000m

But 1 km = 1000m

3000m = 3km

Learn more about distance here:

https://brainly.com/question/26046491

#SPJ1

A displacement vector is a vector that represents the overall change in position of an object, taking into account both the direction and magnitude of the change. It is a measurement of the distance and direction from an object's initial position to its final position.

Distance, on the other hand, is a scalar quantity that refers to the total amount of ground covered by an object, regardless of its direction. It is simply a numerical value indicating the length of the path traveled by an object.

When considering velocity vs speed, velocity is also a vector quantity that includes both the speed and direction of an object's motion. Average velocity is calculated by dividing the total displacement of an object by the time it took to travel that distance.

Average speed, however, is calculated by dividing the total distance traveled by the time it took to travel that distance.

Instantaneous velocity refers to the velocity of an object at a specific point in time, while instantaneous speed refers to the speed of an object at a specific point in time.

Both of these values can be calculated by taking the derivative of the object's position vs time graph. Overall, the difference between displacement and distance is that displacement takes direction into account, while distance does not. And when considering velocity vs speed, velocity includes both direction and speed, while speed only includes the numerical value of the distance traveled over time.

Learn more about displacement vector,

https://brainly.com/question/30615410

#SPJ11

To find the difference between 87 and 12 12, we need to convert 12 12 to an improper fraction.

12 12 = (12 x 2 + 12) / 2 = 36/2 + 12/2 = 48/2 = 24

Now we can subtract the fractions:

87 - 24/12 = 87 - 2 = 85

Therefore, the difference between 87 and 12 12 is 85.

We know that (A) ∠h = 28° as the angle pair ∠h and ∠I are alternate angles and hence they are equal.

The intersection of two parallel lines by a transversal produces alternate angles.

Because they are not additional angles, alternate angles often don't add up to 180 degrees, although they can if the transversal is perpendicular to the parallel lines.

So, by observing the figure we can easily state that:

∠h and ∠I are a pair of alternate angles and hence they must be equal.

So, according to this:

∠h = 28°

Therefore, we know that (A) ∠h = 28° as the angle pair ∠h and ∠I are alternate angles and hence they are equal.

Know more about Alternate angles here:

https://brainly.com/question/26167358

#SPJ1

The ideal way to organize electronically the raw data for a study is to create a structured database or spreadsheet that can easily and efficiently store, sort, and analyze the data.

This will allow for easy retrieval and manipulation of the data, as well as the ability to perform statistical analysis and generate reports. It is important to ensure that the data is accurately recorded and labeled to prevent errors and ensure consistency. Additionally, proper data security measures should be in place to protect the confidentiality and integrity of the data.

To know more about data :

https://brainly.com/question/13650923

#SPJ11

The ideal way to organize electronically the raw data for a study is to use a standardized format, such as a spreadsheet or database, with clear and consistent labeling for each variable.

It is important to ensure that the data is accurate, complete, and easily accessible, and to maintain appropriate security and privacy measures to protect the confidentiality of study participants. Additionally, it is recommended to create a data management plan outlining the procedures for data collection, storage, and sharing throughout the study. This plan should be reviewed and updated regularly to ensure that it remains effective and compliant with relevant regulations and ethical standards. The ideal way to organize electronically the raw data for a study is to use a structured and systematic approach, such as creating a well-designed database or spreadsheet. This allows for efficient data management, easy access, and accurate analysis.

To know more about data,

https://brainly.com/question/31620115

#SPJ11

Using sine rule, the distance of the ship from point y is 306.42m

To find the value of x which is the distance of the ship from y

Using alternating angle theorem and sum of angles in a triangle, we can draw the diagram of the problem properly.

Since we have the value of 3 angles and one side and we need to find a side length, we have to use sine rule;

a / sin A = b / sin B = c / sin C

x / sin 80 = 200 / sin 40

cross multiply both side;

x = 200 * sin 80 / sin 40

x = 306.42m

The distance of the ship from y is 306.42m

Learn more on bearing here;

https://brainly.com/question/22719608

#SPJ1

Answer:

Step-by-step explanation:

-1 is not a whole number so Karim is right.

-1 is an integer so Ali is also right.

The data distribution is skewed and the mean of the number of emails is less than the median number of emails.

The median is equal to 22.

The mean is equal to 20.2.

In Mathematics, a median refers to the middle number (center) of a sorted data set, which is when the data set is either arranged in a descending order from the greatest to least or an ascending order the least to greatest.

First of all, we would sort the 10 observations from the least to greatest as follows:

15, 16, 18, 19, 22, 22, 22, 22, 23, 23

Median = (22 + 22)/2

Median = 22.

In Mathematics, the mean for a set of data can be calculated by using the following formula:

Mean = [F(x)]/n

Mean = [15+16+18+19+22+22+22+22+23+23]/10

Mean = 202/10

Mean = 20.2

In conclusion, we can logically deduce that the data distribution is skewed to the left because the mean is less than the median.

Read more on median here: brainly.com/question/452652

#SPJ1

Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The volume of the composite object can be calculated as approximately: 285 ft³.

The composite object is composed of a cylinder and a rectangular prism, therefore:

The volume of the composite object = volume of cylinder + volume of rectangular prism

Volume of cylinder = πr²h

radius (r) = 1/2(4) = 2 ft

height (h) = 5 ft

Volume of cylinder = 3 * 2² * 5 = 60 ft³

Volume of rectangular prism = length * width * height

= 9 * 5 * 5

= 225 ft³

Volume of the composite object = 60 + 225 = 285 ft³.

Learn more about the volume of composite figure on:

https://brainly.com/question/24187665

#SPJ1

14/42, 21/63 and  70/210 are the three fractions proportional to the fraction of sharpened pencils.

If Gary has a box of pencils and in the box, 7/21 of the pencils have been sharpened, the three fractions are proportional to the fraction of sharpened pencils in Gary's box by multiplying the numerator and denominator by the same value as  shown:

For the first fraction

7/21 * 2/2= 14/42

For the second fraction

7/21 * 3/3= 21/63

For the third fraction

7/21 * 10/10= 70/210

Hence the three fractions are proportional to the fraction of sharpened pencils in Gary's box are 14/42, 21/63 and  70/210

Learn more on fractions here: https://brainly.com/question/78672

#SPJ1

Answer:

Step-by-step explanation:

6.   There are 9 total possible outcomes, out of those 9, 5 are possibilities with burgers or salads so answer is"

5/9

 1.  There are at total of 8 possible outcomes, out of those 8, 7 are possibilities.  so answer is

7/8

Required sum of interior angles of the kite is 360°.

What is kite?

A quadrilateral with two pairs of adjacent sides which are congruent is called kite. Total number of sides are four.

Let the kite has vertices A, B, C,D and the lengths of its diagonals are d_1 and d_2.

The interior angles of a kite can be found using the following formulas:

[tex]∠A = ∠C = \frac{(180° - ∠B - ∠D)}{ 2} \\ ∠B = ∠D = \frac{(360° - (∠A + ∠C)) }{2}[/tex]

We know sum of interior angles = (n-2) × 180°

Where n is number of sides.

Here number of sides are 4.

So, sum of interior angles of kite = (4-2)×180° = 2×180° = 360°

Therefore required sum of interior angles is 360°.

Learn more about interior angles here,

https://brainly.com/question/30193360

#SPJ1

Correct question is " What is the sum of interior angles of a kites for A,B,C,D ?"

The fraction which is greater then "3/8" by using "8" in denominator is "1/2", and the process to check that the answer is correct is explained below.

To write a fraction that has a value greater than 3/8 using 8 as the denominator, we need to find a fraction whose numerator is greater than 3.

One possible fraction is 4/8, which simplifies to 1/2.

To check why this fraction is greater than 3/8, we compare the sizes of the equivalent fractions with a common denominator:

⇒ 3/8 = 3/8, and

⇒ 1/2 = 4/8,

Since, fraction "4/8' is greater than "3/8", we can say that "1/2" is greater than "3/8".

Another way to check is to convert both fractions to decimals:

⇒ 3/8 = 0.375,

⇒ 1/2 = 0.5,

Since 0.5 is greater than 0.375, we confirm that 1/2 is greater than 3/8,

Therefore, one fraction that has a value greater than 3/8 using 8 as the denominator is 1/2.

Learn more about Fraction here

https://brainly.com/question/26266998

#SPJ4

The angle taken in a clockwise direction from north to southeast is 135 degrees

When measuring angles, it is common to use a reference direction, such as north, as a starting point. In this case, we are measuring an angle in a clockwise direction from north to southeast. Southeast is located halfway between the directions of south and east, which means it is at a 45-degree angle from each of those directions.

Therefore, the angle from north to southeast is 45 degrees more than a right angle, which is 90 degrees. This gives us a total of 135 degrees. Visualizing this on a compass rose can help to understand the direction and angle more clearly.

Learn more about angle here

brainly.com/question/16448127

#SPJ4

The given question is incomplete, the complete question is:

What is the angle taken in a clockwise direction from north to southeast ?

The gradient of line A is 8, and the gradient of line B is -4.

We have,

To find the gradient of a line, we use the formula:

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

For line A:

Between (1, 2) and (1.5, 6), the change in y is 6 - 2 = 4, and the change in x is 1.5 - 1 = 0.5.

So the gradient between these two points is 4 / 0.5 = 8.

Between (1.5, 6) and (2, 10), the change in y is 10 - 6 = 4, and the change in x is 2 - 1.5 = 0.5.

So the gradient between these two points is 4 / 0.5 = 8.

Since the gradient is constant for a straight line, we can conclude that the gradient of line A is also 8.

For line B:

Between (2, 0) and (1, 4), the change in y is 4 - 0 = 4, and the change in x is 1 - 2 = -1. So the gradient between these two points is 4 / (-1) = -4.

Between (1, 4) and (0, 8), the change in y is 8 - 4 = 4, and the change in x is 0 - 1 = -1. So the gradient between these two points is 4 / (-1) = -4.

Again, since the gradient is constant for a straight line, we can conclude that the gradient of line B is also -4.

Therefore,

The gradient of line A is 8, and the gradient of line B is -4.

Learn more about the gradient of lines here:

https://brainly.com/question/30249498

#SPJ1

Because "7 feet 14 inches" is not a conventional or usual method to describe measurements, you would use the measurement "8 feet 4 inches" instead.

REASONS FOR USING 8 feet 4 inches:

For a few reasons, the measurement of 8 feet 4 inches is more frequently used than 7 feet 14 inches. First off, compared to 7 feet 14 inches, 8 feet 4 inches is a more common unit of measurement. Based on multiples of 12 inches, the imperial system of measurement is widely used in the United States and other regions of the world. This standard is followed by 8 feet 4 inches because 8 feet is equal to 96 inches and 4 inches is an extra increment. On the other hand, because 7 feet 14 inches is not a common unit of measurement, figuring out the entire length in inches needs an additional step.

Second, when converting to other units of measurement, utilizing 7 feet 14 inches can be confusing. For instance, it would be more challenging to translate 7 feet 14 inches to meters or centimeters than it would be to convert 8 feet 4 inches to meters. This is due to the ease with which 8 feet 4 inches may be converted to inches, which can then be transformed using normal conversion factors to centimeters or meters. However, in order to convert 7 feet 14 inches to inches, an additional step of taking 2 inches away from 8 feet to get to 6 feet 10 inches is needed.

Thirdly, a measurement of 8 feet 4 inches is more accurate than one of 7 feet 14 inches. When 7 feet 14 inches is used, it suggests that the measurement is rounded to the nearest inch, which may result in some measurement error. A more accurate measurement, however, is 8 feet 4 inches, which implies that the post office's length was calculated to the nearest inch.

Using 8 feet 4 inches is also more in line with how dimensions are typically expressed. The simplest version of a measurement should always be used, without any extraneous fractions or decimals. The less usual method of describing an object's length is 7 feet 14 inches, however, this adds an extra fraction to the measurement. Therefore, stating the length of the smallest post office in the United States using 8 feet 4 inches is more accurate and consistent.

Learn about The Units of Measurement:

https://brainly.com/question/30088009

If in a family one of children is a boy, then probability that both children are boys is 1/3.

Let the child born is a boy be denoted as "b" and

Let the child born is a girl be denoted as "g",

Let "S" = event that a family has "two-children",

So, "S" is = {(g, b), (b, g), (g, g), (b, b)},

The number of elements in "S" is ⇒ n(S) = 4,

Let "A" denote the event that "at-least" single-child is a boy.

So, "A" = {(g, b), (b, g), (b, b)} and

The number of elements in "A" is ⇒ n(A) = 3,

Let "B" denote the event that both child are boys,

So, "B" = {(b, b)},

The probability that one is a boy is ⇒ P(A) = n(A)/n(S),

⇒ P(A) = 3/4,

The probability that both are boys is given as P(B) = n(B)/n(S),

⇒ P(B) = 1/4,

We see that, A∩B = {(b, b)},

So, number of elements in event-set "A∩B" is = n(A∩B) = 1,

The probability of "event-A" occurring and "event-B" occurring is :

⇒P(A∩B) = n(A∩B)/n(S)

⇒ P(A∩B) = 1/4,

By conditional probability, we know that probability of "B" given that "A" is happening is given as : P(B|A) = P(A∩B)/P(A), where P(A∩B) is = probability of "A" and "B" both happening and P(A) is probability of "A" happening.

⇒ P(B|A) = (1/4)/(3/4),

⇒ P(B|A) = 1/3.

Therefore, the required probability is 1/3.

Learn more about Probability here

https://brainly.com/question/29808074

#SPJ4

The probability of selecting a black marble, replacing it, then selecting a red marble is  7.0%.

The probability of selecting a yellow marble, not replacing it, then selecting another yellow marble is 2.2%.

The probability of selecting one yellow marble, not replacing it, then selecting a black marble is  15.6%.

There are 10 marbles in the bag, and 7 of them are black.

If we select a black marble and replace it, then there are still 10 marbles in the bag, but now only 6 of them are black and 1 is red.

Therefore, the probability of selecting a black marble, replacing it, then selecting a red marble is:

P(black, then red) = (7/10) × (1/10) = 0.07

P(black, then red) = 7 %

Therefore, the probability of selecting a black marble, replacing it, then selecting a red marble is approximately 7.0%.

P(yellow, then yellow) = (2/10) × (1/9) = 0.0222...

P(yellow, then yellow) = 2.2%

P(yellow, then black) = (2/10) × (7/9) = 0.1556...

P(yellow, then black) = 15.6%

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ1

The answer of the given question based on the Scale factor is , Part (a) the dimensions of the print are 3.51 feet by 6 feet. , Part (b) the area of the print is 21.06  feet².

Dimension refers to the measurement or size of an object in terms of length, width, and height. It can also refer to the number of parameters or variables that are required to describe a system or phenomenon.

Part A:

To find the dimensions of the print in feet, we need to first find the dimensions of the original painting in feet, and then multiply them by the scale factor of 3.

The width of the painting in feet is 14 inches divided by 12 inches/foot, which is:

14/12 = 1.17 feet

The length of the painting in feet is 24 inches divided by 12 inches/foot, which is:

24/12 = 2 feet

Multiplying these dimensions by the scale factor of 3, we get:

Width of print = 1.17 feet x 3 = 3.51 feet

Length of print = 2 feet x 3 = 6 feet

Therefore, the dimensions of the print are 3.51 feet by 6 feet.

Part B:

To find the area of the print in square feet, we need to multiply the width and length of the print together. Using the dimensions we found in Part A, we get:

Area of print = width x length

Area of print = 3.51 feet x 6 feet

Area of print = 21.06  feet²

Therefore, the area of the print is 21.06 feet².

To know more about Scale factor visit:

https://brainly.com/question/8840339

#SPJ1

The commutative property of multiplication is used in -8/9x1=1x-8/9=-8/9

The commutative property, which states that changing the order of the factors in a multiplication expression does not change the result.

-8/9 x 1 = 1 x (-8/9)

Then, we can apply the commutative property again to switch the order of the factors:

1 x (-8/9) = (-8/9) x 1

Finally, we can simplify by multiplying the two factors:

(-8/9) x 1 = -8/9

Therefore, we have shown that -8/9 x 1 = 1 x (-8/9) = -8/9 using the commutative property of multiplication.

Read more on commutative property here https://brainly.com/question/778086

#SPJ4

Since Diego and Armando were known to have attended the Regional Congress of Indigenous Languages for Latin America as well as the Caribbean, and thus they were able to write the conclusion that is "If people respect differences and act with justice, then human beings will not harm others."

In terms of a) Symbolization:  we can make p to be the proposition that is "people respect differences", and also q to be the proposition that is "people act with justice", and lastly, r can act as the proposition "human beings harm others". Hence the conclusion will be: p ∧ q → ¬r.

In terms of question 2, the Translate situations:

a) The problem scenario is about the Regional Congress of Indigenous Languages that is made for Latin America and the Caribbean, and it is one that is aimed to set up responsible commitments for the promotion, safeguarding, etc.

b) The statement in the underlined text is one tht is said to be: "If people respect differences and act with justice, then human beings will not harm others."

Learn more about logical connectives from

https://brainly.com/question/28699805

#SPJ1

See text below

1. Analiza la situación.

En el mes de septiembre del ano 2019 se llevó a cabo, en el Cusco, el Congreso Regional de Lenguas Indigenas para América Latina y el Ca ribe, cuyo fin era establecer compromisos responsables de promoción, salvaguardia, uso y desarrollo de las lenguas originarias a nivel regio nal. Diego y Armando, estudiantes universitarios, asistieron a dicho evento y al finalizar escribieron algunas conclusiones, entre ellas:

"Si las personas respetan las diferencias y actúan con justicia, enton- ces el ser humano no danara al prójimo".

Simboliza el texto subrayado, elabora su tabla de verdad y determi- na si se trata de una tautologia, contingencia o contradicción.

2. Traduce situaciones.

a. ¿De qué se trata la situación problemática? Explica brevemente.

CONGRESO REGI DE LENGUAS INDIGENA AMERICA LATINA Y EL

b. Identifica, en el texto subrayado, algunos enunciados y escribelos.

3. Comunica su comprensión sobre situaciones.

a. Representa de forma simbólica las proposiciones encontradas.

b. Representa las proposiciones usando los conectivos lógicos.

4. Usa estrategias y procedimientos.

¿Qué estrategia utilizarías para resolver la situación problemática?

5. Argumenta afirmaciones.

a. Explica cómo identificas a una proposición.

b. Una tautologia se reconoce porque todos los valores de verdad de su matriz principal son falsos.

c. ¿Por qué crees necesario saber reconocer una proposición simple de una compuesta?

1. Analyze the situation.

In the month of September of the year 2019, the Regional Congress of Indigenous Languages ​​for Latin America and the Caribbean was held in Cusco, the purpose of which was to establish responsible commitments for the promotion, safeguarding, use and development of native languages ​​to regional level. Diego and Armando, university students, attended said event and at the end they wrote some conclusions, among them:

"If people respect differences and act with justice, then human beings will not harm others."

Symbolize the underlined text, create its truth table, and determine if it is a tautology, contingency, or contradiction.

2. Translate situations.

to. What is the problem situation about? Explains briefly.

REGI CONGRESS OF INDIGENOUS LANGUAGES IN LATIN AMERICA AND THE

b. Identify, in the underlined text, some statements and write them.

3. Communicates understanding of situations.

to. Symbolically represents the propositions found.

b. Represent statements using logical connectives.

4. Use strategies and procedures.

What strategy would you use to solve the problematic situation?

5. Argue affirmations.

to. Explain how you identify a proposition.

b. A tautology is recognized because all the truth values ​​of its main matrix are false.

c. Why do you think it is necessary to know how to recognize a simple proposition from a compound one?

Answer:

3/1

Step-by-step explanation:

3/1 the ratio is 3:1

The effect on the graph of a function when the y-intercept is changed to a smaller positive number depends on the type of function.

If the function is linear and contains the formula y = mx + b, where m denotes the slope and b the y-intercept, then shifting the slope of the y-intercept to a smaller positive value will cause the entire graph to move vertically downward. The magnitude of the change in the y-intercept determines how far the graph goes downward.

On the other hand, since the shape of the function is not linear, changing the y-intercept will typically have a more complicated impact on the graph if the function is a nonlinear function, such as a quadratic or exponential function. The specific form of the function will determine the exact effect.

To know more about functions, refer:

https://brainly.com/question/9753782

#SPJ4

Thus, we get a total of 27 seven-digit phone numbers that begin with a three-digit prefix that has the property you described.

We need to find all seven-digit phone numbers that begin with a three-digit prefix that equals the product of the last four digits.

To do this, we can start by noting that the three-digit prefix can be written as XYZ, where X, Y, and Z are digits. We also know that the last four digits must have a product of XYZ. Let's call the last four digits W, P, Q, and R. Then we have:

W x P x Q x R = XYZ

We can simplify this equation by dividing both sides by XYZ:

(W x P x Q x R) / XYZ = 1

Now we can start counting the number of possible phone numbers that satisfy this equation. We can do this by systematically trying out different values for X, Y, and Z and seeing how many possibilities we get for W, P, Q, and R. Here are the possibilities:

X = 1: In this case, we need to find all four-digit numbers that have a product of 1YZ. The only possibility is 1111, which gives us one seven-digit phone number.

X = 2: In this case, we need to find all four-digit numbers that have a product of 2YZ. The possibilities are 2222, 2211, and 2111. This gives us three seven-digit phone numbers.

X = 3: In this case, we need to find all four-digit numbers that have a product of 3YZ. The possibilities are 3333, 3311, 3222, 3211, and 3111. This gives us five seven-digit phone numbers.

X = 4: In this case, we need to find all four-digit numbers that have a product of 4YZ. The possibilities are 4444, 4322, 4311, and 4222. This gives us four seven-digit phone numbers.

X = 5: In this case, we need to find all four-digit numbers that have a product of 5YZ. The possibilities are 5555, 5422, 5411, 5322, and 5311. This gives us five seven-digit phone numbers.

X = 6: In this case, we need to find all four-digit numbers that have a product of 6YZ. The possibilities are 6666, 6511, and 6422. This gives us three seven-digit phone numbers.

X = 7: In this case, we need to find all four-digit numbers that have a product of 7YZ. The only possibility is 7777, which gives us one seven-digit phone number.

X = 8: In this case, we need to find all four-digit numbers that have a product of 8YZ. The possibilities are 8644 and 8633. This gives us two seven-digit phone numbers.

X = 9: In this case, we need to find all four-digit numbers that have a product of 9YZ. The possibilities are 9999, 9811, and 9722. This gives us three seven-digit phone numbers.

Adding up all of the possibilities, we get a total of 27 seven-digit phone numbers that begin with a three-digit prefix that has the property you described.

Know more about the equation

https://brainly.com/question/29174899

#SPJ11

The mean number of correct answers that the student can expect to guess correctly is 9, and the variance of the number of correct answers is 7.2.

The mean and variance of this binomial distribution can be calculated using the formula:

where n is the number of trials, and p is the probability of success (i.e. guessing the correct answer) on each trial.

In this case, n = 45 (the number of questions) and p = 1/5 (the probability of guessing the correct answer on each question, assuming all choices are equally likely).

Thus, the mean is:

mean = n * p = 45 * (1/5) = 9

And the variance is:

variance = n * p * (1 - p) = 45 * (1/5) * (4/5) = 7.2

Therefore, the mean number of correct answers that the student can expect to guess correctly is 9, and the variance of the number of correct answers is 7.2.

Learn More about binomial distribution

https://brainly.com/question/29137961

#SPJ4

(a) The initial value of water in the tank is 88 gallons, and the rate of change is -6 gallons per minute (since the water is being drained). Therefore, the function that represents the amount of water in the tank, Y, after X minutes is: Y = -6X + 88.

(b) We know that the amount of water left in the tank is 34 gallons. To find out how long the tank has been draining for, we can plug in 34 for Y in the function and solve for X:

34 = -6X + 88

-6X = -54

X = 9

Therefore, the tank has been draining for 9 minutes.

The total amount of medication in blood stream after n number of doses is  19.44 milligrams, under the given condition that a  person repeatedly takes 20 milligrams of a prescribed medication every 4 hours.

Then the recursive rule for the amount of medication in the bloodstream after n dose is

A (n) = A (n-1) x 0.6

here

A (n) =  amount of medication in the bloodstream after the nth dose,

A (1) = 150 (the initial dose)

We can implement the values in the formula

A(5) = A(4) x 0.6

A(4) = A(3) x 0.6

A(3) = A(2) x 0.6

A(2) = A(1) x 0.6

A(1) = 150

Then,

A(2) = 150 x 0.6 = 90

A(3) = 90 x 0.6 = 54

A(4) = 54 x 0.6 = 32.4

A(5) = 32.4 x 0.6 = 19.44

The total amount of medication in blood stream after n number of doses is  19.44 milligrams, under the given condition that a  person repeatedly takes 20 milligrams of a prescribed medication every 4 hours.

To learn more about recursive rule,

https://brainly.com/question/29508048

#SPJ4

The amount of income tax for a couple claiming married filing jointly status for a year would be = $108,124.75

To calculate the income tax first determine the range where the salary of the each individual falls using the table given above.

That is;

For Mr Slater, his salary income of $57,235, fell within $18,501 to $75,300 and the percentage tax income = 15%

That is, 15/100 × 57,235/1

= 858525/100

=$8,585.25

Therefore the income of Mr Slater after tax = 57,235- 8,585.25 = $48,649.75

For Mrs Slater, her salary income of $79,300 fell within range of $75,301 to $151,900 and the tax percentage = 25%.

That is , 25/100 × 79,300

= 1982500/100

= $19,825

Therefore the income of Mrs Slater after tax = 79,300-19,825 = $59,475

Therefore, the amount of income tax for a couple claiming married filing jointly status for a year would be =$48,649.75+$59,475

= $108,124.75

Learn more about percentage here:

https://brainly.com/question/24339661

#SPJ1

Volume is the amount of space an object takes up, and is calculated by multiplying the object's length, width, and height together

Volume is calculated in units cubed because it is a measure of how much three-dimensional space an object occupies.

Volume = Length×Width×Height

=3×3×3

=27 cubic units

Volume is the amount of space an object takes up, and is calculated by multiplying the object's length, width, and height together.

This is why it is usually represented in units cubed.

Hence, Volume is the amount of space an object takes up, and is calculated by multiplying the object's length, width, and height together

To learn more on Volume click:

https://brainly.com/question/13798973

#SPJ1