the of decision making recognizes that people (a) often use incomplete and imperfect information, (b) are constrained by bounded rationality, and (c) tend to satisfice.

On solving the provided question, we can say that there are 7975/5 - 1595 distinct positive number f(m) less than 1992, 1991-1595 = 396 positive integer.

Zero, a positive integer, or a negative integer denoted by a minus sign are all examples of integers. A negative number is the additive reciprocal of a positive number that it corresponds to. A bold Z or a bold "mathbb Z" is frequently used in mathematical notation to denote a group of integers. A positive, negative, or zero integer—not a fraction—is referred to as an integer (pronounced IN-tuh-jer). The numbers -5, 1, 5, 8, 97, and 3,043 are examples of integers. 1.43, 1 3/4, 3.14, and other numbers are non-integer examples. Integers are a collection of integers and their antipodes. Decimals and fractions are not part of the set of integers.

suppose number of zeroes m! be f(m)

f(m) = m/5 + m/25 + m/125 + m/625 + ...

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

since, f(m)< m/5 + m/25 + m/125 + m/625 + ... = m/4

f(7975) = 1991

there are 7975/5 - 1595 distinct positive number f(m) less than 1992, 1991-1595 = 396 positive integer

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Jason's trip was 9 minutes longer than his usual drive to work.

Given that,

Distance from Jason's home to office = 20 miles

Speed of driving from home to office = 50 miles/hour

Total time taken to reach from home to office = distance ÷ speed = 20/50 = 0.4 hours = 24 minutes

Thus, on a normal day, Jason takes 0.4 hours to reach his office from home.

Now, Jason drove for 12 minutes when his car broke down,

The taxi arrived 15 minutes later and drove at 40 miles/hour,

Total time spent to reach office from taxi= distance ÷ speed = 20/40 = 0.5 hours= 30 minutes

Although he already spent 12 minutes driving before the taxi arrived so,

30 - 12 = 18 minutes.

But, he waited for the taxi to arrive for 15 minutes so,

18+15 = 33 minutes.

Thus, today Jason took 33 minutes to reach the office from his home.

Therefore, Jason took (33- 24)minutes which is equal to 9 minutes longer than his usual drive to work.

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As per the measures of given triangle, the measure of the third side is 65°

The term triangle in math is defined as a three-sided polygon, which has three vertices.

Here we have know that the three sides are connected with each other end to end at a point, which forms the angles of the triangle.

Here we have given that Geoffrey draws a triangle, one of the angles measure 75 and one of the angles measure 40

As we all know that the sum of all three angles of the triangle is equal to 180 degrees.

Then let us consider that the third side is x.

Then it can be calculated as,

=> 75 + 40 + x = 180

=> 115 + x = 180

=> x = 180 - 115

=> x = 65°

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If store c sells 122,420 products, then store b sells 6121 products.

Let x = number of products store a sells

If store a sells one fifth as many as store c, then we can write this expression as:

x = 1/5(122,420)

Evaluating, we have:

x = 24,484

If store a sells four times as many products as store b, then we can write the expression for the number of products store b sells as:

x = 4(number of products store b sells)

Plug in the value of x, we have:

24,484 = 4(number of products store b sells)

number of products store b sells = 6121

Therefore, store b sells 6121 products.

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It is likely to randomly select a chocolate chip cookie from the batch.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

here,
The probability of selecting the chocolate chip is given as 0.75.
Which is more than 50%
So, it is likely to randomly select a chocolate chip cookie from the batch.

Thus, It is likely to randomly select a chocolate chip cookie from the batch.

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Answer: B: Likely

Step-by-step explanation:

Answer:1, 2, 3, 5, 6, 10, 15 and 30.

Step-by-step explanation:

Answer:

270 donuts

Step-by-step explanation:

We need to find the number of donuts they make per hour. To find that, take the known number of donuts divided by the known number of hours.

150/10=15, so 15 donuts per hour.

Now, we multiply 18x15 and find they will have made 270 donuts.

The answer is 2 metric tons in an hour.

Units refer to a specific measurement or denomination used to express the size or quantity of something. For example, length can be measured in units of inches, feet, or meters. Time can be measured in units of seconds, minutes, or hours.

The best way to do this is to convert all the fractions to decimals. The problem starts out looking like this.

Formula :

Rate = Tons removed / hours

Tons Removed = 1/2 metric ton

Time taken = 1/4 hour

Rather than doing it with fractions, it is much easier to do it with decimals

1/4 = 0.25

1/2 = 0.5

Now what you get is rate = 0.5 / 0.25 = 2

So, 2 metric tons can be removed in an hour.

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3.31 it will take her to complete the triathlon.

To find this, we can apply the equation distance = rate x time.

We are aware of the length and pace of each triathlon leg. Let's name them, respectively, d and r. We must locate the time, which we shall designate as t.

d = r x t    or

t = d/r

The distance is 0.93, or 93/100, and the rate is 1.2, or 12/10 when swimming. As a result of our formula, we have:

12/10 divided by 93/100 yields the same result as

93/100 * 10/12

time to swim = 93/120 = 31/40

We have a distance of 24.8 miles, or 248/10, and a speed of 18.8 miles, or 188/10, for biking. Using the same formula, we obtain:

248/10 divided by 188/10 or

248/10 * 10/188 = 248/188 = 62/47 = time to bike

Finally, for the run, the distance is 6.2 = 62/10 and the rate is 5.1 or 51/10. Plugging this into the formula gives:

62/10 divided by 51/10 or

62/10 * 10/51 = 62/51 = time to run

= 31/40 + 62/47 + 62/51

=3.31

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From the above given options by using app is more accurate and reliable so option b is correct

The question is incomplete the options are not given the options are:

a. Marcus should ask each of his classmates to write down on a piece of paper how many hours of sleep they get per night and hand the paper to him.

b. Marcus should have them download an app that tracks their phone geolocation and activity so he can see when their phones are in their rooms and not being used. From this data he can figure out how long each student sleeps.

given that

Marcus wants to learn about the sleeping habits of students in his class.

Marcus wants to collect data from his classmates to learn how many hours of sleep his classmates get.

He then wants to process this data with a computer and visualize it in a Histogram

survey can be done in different ways:

1. by asking question

2. survey

3. observation

From the above given options by using app is more accurate and reliable so option b is correct

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1. The men are playing Dominos in the game.

2. A sandwich with pork ham and cheese is the kind of Cuban food shown.

3. The man in the yellow shirt and white pants is shown Dancing.

4. The Cuban flag has one star.

Dominoes refers to a group of tile-based games with playing pieces that resemble dominoes. A line usually divides the two square ends of each rectangular domino tile. Either a blank space or a series of dots designate each end. Each tile in a set has a back that is either blank or has a similar design, making them all identical.

The playing pieces are what make up a domino set, sometimes referred to as a deck or pack. The typical European domino set consists of 28 tiles with spot counts ranging from zero to six in all possible combinations. Some other names for these tiles are pieces, bones, rocks, stones, men, cards, and simply dominoes.

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A triangle with the given measure of side length 8cm, 8cm , and 10cm is an isosceles triangle with two sides of equal measure.

As given in the question,

In the given triangle,

Measure of side length of a triangle is given by :

8cm, 8cm , and 10cm

Longest side = 10cm.

But ( 8)² + (8)² ≠ (10)²

It is not right angled triangle as does not satisfied the Pythagoras theorem.

8cm = 8cm.

Here in the given triangle two side length of the triangle are of same measure.

It represents it is an isosceles triangle.

Therefore, the given triangle side length represents it is an isosceles triangle with two sides of equal measure.

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keep the highest averaging do no harm imagine that your instructor chose to use the do no harm scoring method in grade it now mode. so My final score is 5/10

What is Mode?

In statistics, the value that consistently appears in a particular set is referred to as the mode. The mode or modal value in a data set is sometimes referred to as the value or number that occurs most frequently in the data set. In addition to mean and median, it is one of the three measures of central tendency.

For a limited number of observations, the mode is simple to find. There could be one mode, several modes, or none at all for a given collection of values.

When we use highest scoring method in Mode, we keep the Highest will give the highest score if the scores are different.

So that the final score is 5/10

because average of 2/10+3/10+10/10  /3= 5/10

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Answer: 14.4

Step-by-step explanation:

Pythagorean theorem states that a² + b² = c²

Using this,

8² + 12² = c²

64 + 144 = c²

208 = c²

c = 14.4 when rounded to the nearest tenth

If the perimeters are the same. Then the dimension of the triangle will be 5, 5, and 6.

The peripheral of a form is defined in mathematics as the entire length of its boundaries. The surrounding of a form is calculated by summing the lengths of all the vertices and edges that surround it. It is measured in linear quantities like cm, meters, inches, and feet.

Let 'x' be the isosceles sides and the 'y' be the third side. Then the equation is given as,

x + x + y = 4 × 4

2x + y = 16

2x + y = 2(5) + 6

Then the dimension of the triangle will be 5, 5, and 6.

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To delete a question, if you are using a web browser, please click on the dots next to the question to locate the option to eliminate them.

Deleting something from the web is to mean you are removing that thing due to any reason. When you delete a file, it is removed from the location where it is stored.

If your hard disk is the storage location, the file gets relocated to the Recycle Bin. The file is destroyed if the storage place is a disk, CD, or network location.

Therefore, if you are using a web browser, please click on the dots next to the question to locate the option to delete them.

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Answer:

AD=RC,        GIVEN

∠A≅∠R      GIVEN

∠AMD=∠RMC    VERtical angles

△MAD≅△MRC   ASA/SAA

Step-by-step explanation:

Answer:

[tex]19\sqrt{3}[/tex]

Step-by-step explanation:

Simple math. You could extrapolate the square roots and simplify the coefficients to easily subtract numbers with the same roots.

The absolute value of a number is the distance of that number from 0 on the number line. Since 5 and -5 are both 5 units away from 0, the absolute value of both numbers is 5. Therefore, |5| = |-5| = 5.

The absolute value of a number is a non-negative value that represents the distance of that number from zero on the number line. It is denoted by two vertical bars "||" surrounding the number. For example, the absolute value of 5 is written as |5|.

For positive numbers, the absolute value is simply the number itself. For example, |5| = 5.

For negative numbers, the absolute value is the numerical value of the number but with the opposite sign. For example, |-5| = 5.

In other words, the absolute value of a number removes any negative sign and gives the distance of the number from 0, regardless of its sign. So, the absolute value of 5 is 5 and the absolute value of -5 is also 5. They are the same distance from 0 on the number line.

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The three methods to solve a 3 variable linear system of equations are substitution, elimination, and matrix inversion.

1. Substitution: This method involves isolating one of the variables in one of the equations, then substituting it into the other equations to solve for the other two variables.

2. Elimination: In this method, the coefficients of two of the variables in one of the equations are multiplied by constant values, so that when the two equations are added together, one of the variables is eliminated. The remaining variable can then be solved for, and the other two variables can be found using substitution.

3. Matrix Inversion: This method involves writing the system of equations in matrix form, then inverting the matrix using matrix algebra to solve for the three variables.

The three methods to solve a 3 variable linear system of equations are substitution, elimination, and matrix inversion. Substitution involves isolating one of the variables and substituting it into the other equations, elimination involves multiplying coefficients of two of the variables and adding the equations together to eliminate one of the variables, and matrix inversion involves writing the system of equations in matrix form and inverting the matrix to solve for the three variables.

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Using the provided condition and values, This is solved using the concept of word problem, The answer is Polly gets £30, Andy gets £60 and Phoebe gets £180.

A word problem in mathematics is a problem that is written in natural language (i.e., words) rather than in mathematical notation. It presents a real-world scenario that requires the use of mathematical concepts and skills to solve. Word problems often involve finding unknown quantities based on given information, and they can be challenging because they require students to understand the problem and translate it into mathematical equations or formulas. They are often used in primary and secondary education to help students apply their math skills to real-world situations and develop critical thinking skills.

A mathematical expression is a combination of numbers, variables, and mathematical operations (such as addition, subtraction, multiplication, and division) that represents a mathematical statement or equation. Mathematical expressions can be evaluated to find a numerical value. They can also be simplified by applying the order of operations (PEMDAS) to combine like terms or to remove unnecessary parentheses. Additionally, mathematical expressions can also be used to represent the relationship between different variables.

Let x be the amount that Polly gets.

Andy would get 2x and Phoebe would get 3(2x) = 6x

So the total amount would be x + 2x + 6x = 9x

Therefore, x + 2x + 6x = £270

9x = £270

x = £30

So Polly gets £30, Andy gets £60 and Phoebe gets £180.

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A. The contour of the orbital would extend further out along the x and y axes and the mℓ value would be the same.

The dx2−y2 orbital in the n=5 shell will have a higher principal quantum number (n=5) than the dx2−y2 orbital in the n=3 subshell (n=3). This means that the contour of the orbital in the n=5 shell will extend further along the x and y axes, as the orbital size increases with increasing n.

However, the mℓ value will remain the same, as the angular momentum quantum number (ℓ) remains constant at two and mℓ can only take values between -ℓ and +ℓ.

The value of ℓ will not increase by two, as stated in option B, and the radial probability function will not include two more nodes, as stated in option C. Furthermore, the orientation of the orbital will not be rotated 45∘ along the xy plane, as stated in option D.

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Answer:

9:02

Step-by-step explanation:

The least common multiple (LCM) of 8 and 32 is 32.

Therefore, both bells will ring at the same time after 32 minutes, at 9:02.

The average thickness of a page in the book= is 0.00393cm

determining the thickness of a page

One page has a thickness of 0.12 mm. Therefore, it's easy; all you have to do is add up the pages and divide that number by two. Then double that result by a page's thickness.

A book has 764 pages in total, including the final page.

3.0 cm is how thick the book is.

Divide across 764 to find the thickness of a page from the book: 3.0/764 = 0.003926701

which is roughly equal to 0.00393 cm

Consequently, 0.00393 cm is the average thickness of a book page.

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The formula for the area of a triangle is A = bh/2.

If the base increases by 10% from b to b(1+10/100) = b(1.1) and the height increases by 10% from h to h(1+10/100) = h(1.1)

then the new area A' = (b(1.1))(h(1.1))/2

To find the percentage increase in area we can use the formula:

X% = (A'-A)/A * 100%

Plugging in the values we have

X% = (b(1.1)h(1.1))/2 - bh/2 / bh/2 * 100%

Simplifying we get

X% = (bh(1.1)^2 - bh)/(bh/2) * 100% = (1.1)^2 * 100% - 100% = 21%

Therefore, the area A increases by 21%.

I hope this helps :)

There is no regular polygon that satisfies the given condition.

What is a regular polygon?

A polygon is called regular if it has equal sides and angles. Thus, a regular triangle is an equilateral triangle, and a regular quadrilateral is a square.

Let n be the number of sides in the polygon.

The interior angle of a regular polygon with n sides is (n-2) * 180/n degrees.

The exterior angle of a regular polygon with n sides is 360/n degrees.

We are given that:

(n-2) * 180/n > 3 * 360/n + 20

Simplifying the equation:

(n-2) * 180 > 3 * 360 + 20 * n

Now we can solve for n.

(n-2) * 180 > 1080 + 20n

180n - 360 > 1080 + 20n

-20n > 720

n < -36

Since n must be a positive integer, no such n exists that satisfies the given condition.

Therefore, there is no regular polygon that satisfies the given condition.

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Answer: 74 miles

Step-by-step explanation:

3.7 divided by 0.5 = 7.4

7.4 x 10 = 74

74 miles

The value of y is 2. The study of triangular relationships between angles and side lengths is known as trigonometry.

The study of triangular relationships between angles and side lengths is known as trigonometry.

The six trigonometric functions are cosec, sec, cot, sin, and tan.

Allow the angle to be, so that

The opposite or hypotenuse of sin

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the triangle be ΔABC

The triangle ABC is a right angled triangle and the angles inside the triangles are 45° , 45° and 90°

Now , from the given figure

From the trigonometric relations

tan θ = x / √2

Now , θ = 45°

So , tan 45° = x / √2

And , tan 45° = 1

So , the value of x = √2

And from trigonometric relations ,

hypotenuse² = base² + length²

y = √ ( √2 )² + ( √2 )²

y = √4

y = 2

Hence , The value of x = √2

The value of y = 2

The complete question is,

Solve for X. Leave your answer in simplest radical form if necessary.

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Answer:

57 degrees

Step-by-step explanation:

vertical angles are equal. thus, 3x+9 = 4x-7

subtract 3x from both sides to put all x values and their coefficients on one side

9 = x-7

add 7 to both sides to isolate x

x = 16

B = 4x-7 = 4 * 16 - 7 = 57