An expression is given
4x + 5y + 7x
Identify the coefficient(s) and constant.
Coefficient: 4,5 and Constant: 7
Coefficient: 4,5,7 and Constant: None
Coefficient: None and Constant: 4,5,7
Coefficient: 4,7 and Constant: 5

Answers

Answer 1

Step-by-step explanation:

The coefficients are 4, 5 and 7

There is no constant

The second one is right

Answer 2

Answer:

Coefficient: 4,5,7 and Constant: None

Step-by-step explanation:

A coefficient can be defined as the number next to the variable or unknown numbers

This would be 4, 5, and 7

However, there does not seem to be a constant, which is a value that should not be the coefficient of a variable.


Related Questions

Which of the following tables represents a linear relationship that is also proportional? x y 0 3 3 6 6 9 x y 0 4 2 6 4 8 x y 0 0 6 3 12 6 x y 0 3 5 5 10 7

Answers

Choice B, with a y-intercept of 0, is the correct response and provides a table that depicts a linear and proportionate relationship that is

x y

0 0

2 1

4 2

What do you mean By graph Intercept function?

The graph's intercept is the location where the line or curve crosses the axis. The term "x-intercept" refers to a point that crosses the x-axis. The y-intercept is the location where a point crosses the y-axis. Here is a y-intercept illustration. Suppose the line y = x+ 3 exists. This graph's y-axis intersects at this location (0,3). So, the line y = x+3's y-intercept is (0,3). By changing Y to 0 and solving for X, you can always discover the X-intercept. Likewise, you may always solve for Y while holding X equal to 0 in the equation to determine the Y-intercept.

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"subtract 7 from the sum of 34 and 3"​

Answers

Answer: 30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

(34 + 3) -7

37 - 7

30

A school is paving a new rectangular area to create an additional, flat parking lot for teachers. Which units should the principal use to estimate the number of parking spaces created, and why?

Answers

The principal should use Square meters because the average length and width of the parking spaces will determine the number of parking spaces created in the rectangular parking lot.

Parallel parking, perpendicular parking, and angle parking are the three most frequently used parking configurations for the majority of motorized vehicles. These are self-park setups, meaning the driver of the car can go to the parking on their own.The length is typically 16 feet to 18 feet for perpendicular or angled parking spaces. The typical breadth is between 7.9 feet and 9 feet. The standard length and breadth for parallel parking spaces are 20 feet and 7.9 feet, respectively.The required number of stalls times the projected land area per stall will give you the paved area needed for parking. For instance, a 200-spot parking lot will need a paved surface of 65,000 square feet, or approximately, with each stall requiring an estimated 325 square feet of space.

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Find the perimeter of the given triangle

Answers

The perimeter of triangle DEF is 10.8 units.

What is perimeter of triangle?

The area around any two-dimensional figure determines its perimeter. We can calculate the perimeter of any closed shape by adding the lengths of its sides.

We are given that triangle ABC is similar to triangle DEF

So,

⇒AB/DE = BC/EF = AC/DF

We are given AB=5, BC=6 and DE = 3

Therefore,

⇒AB/DE = BC/EF

⇒5/3 = 6/EF

EF = 3.6

Similarly, we are given AC =7

So,

⇒AB/DE  = AC/DF

⇒5/3  = 7/DF

DF = 4.2

Perimeter of triangle = DE + EF + DF

⇒Perimeter of triangle = 3 + 3.6 + 4.2

⇒Perimeter of triangle = 10.8 units

Hence, the perimeter of triangle DEF is 10.8 units.

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help me, please i need this by tomorrow and I'm in school

Answers

Answer:

1/3

Step-by-step explanation:

please give me brainliest

Answer:

4/16

Step-by-step explanation:

The answer is actually 4/16 because you cannot either divide or multiple by any number to get 4/16.

evaluate the expression

Answers

Decimal Form:

2.52185454

Two identical springs (x and y) are stretched to different lengths and held there.

Answers

The illustration shows that (A) spring x has a higher elastic potential energy.

What is elastic potential energy?

The energy that is stored when a force is used to deform an elastic object is known as elastic potential energy.

Until the force is released and the object springs back to its original shape, doing labor in the process, the energy is retained.

Kinetic energy is the power that an object has while in motion.

For instance, a stretched rubber band contains elastic potential energy because, when released, it will spring back to its resting position, converting the potential energy to kinetic energy.

So, according to the given image, spring x has more elastic potential energy.

Therefore, the illustration shows that (A) spring x has a higher elastic potential energy.

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Correct question:

Two identical springs ( x and y ) are stretched to different lengths and held there

Which of the following statements is true

A) spring x has more elastic potential energy

B) spring y has more elastic potential energy

C) spring x has more kinetic energy

D) spring y has more kinetic energy

Solve the equation, and check your solution.
8.4+
8.4 = 1.4x
8.4+

= 1.4x +
= X
Complete the solution using inverse relationships.
8.4 = 1.4x
= 1.4x +
= X
-
(Type whole numbers or decimals.)

Answers

The solution to the equation 8.4 = 1.4x for the unknown variable x is 6.

How to solve equation?

8.4 = 1.4x

divide both sides by the variable of x

x = 8.4 / 1.4

x = 6

Check:

8.4 = 1.4x

8.4 = 1.4(6)

8.4 = 8.4

Using inverse relationship

8.4 = k / 1.4

cross product

8.4 × 1.4 = k

11.76 = k

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What are coordinates Class 9?

Answers

A series of numbers known as coordinates can be used to display a point's precise location on a coordinate plane. Coordination Plane Definition. The intersection of the x-axis and y-axis, two perpendicular lines that create a 2D plane known as a coordinate plane.

Which coordinate system is used?

There are three types of co-ordinates are:

(i) Cartesian co-ordinates

(ii) cylindrical co-ordinates

(iii) spherical co-ordinates

The Cartesian coordinate system is a prime example of a coordinate system. Two perpendicular lines are picked in the plane, and a point's coordinates are assumed to be the signed distances between the lines.

Coordinates are a pair of integers (also known as Cartesian coordinates), or occasionally a letter and a number, that identify a specific point on a grid, also known as a coordinate plane. Two axes, the x (horizontal) and y (vertical), and four quadrants make up a coordinate plane (vertical).

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A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 447 gram setting. Based on a 24 bag sample where the mean is 444 grams and the standard deviation is 10, is there sufficient evidence at the 0.1 level that the bags are underfilled or overfilled? Assume the population distribution is approximately normal.
Step 2 of 5: Find the value of the test statistic. Round your answer to three decimal places.

Answers

The value of the test statistic is given as 1.341

How  to solve for the test statistic

We will solve for the test statistic through the use of the following data. We have the level of significance as 0.1, the standard deviation is given as 10, sample = 24, mean = 444

test statistic is solved with the formula: (x - µ )/SE =

hence we would have: ( 447 - 444 ) / 2.2371 = 1.341

Therefore the test statistics is given as 1.341

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Can someone solve the very first one under the pencil line solve that equation ASAP please

Answers

Answer:19.28   or 125/7

Step-by-step explanation:

first, replace all the a's with 1's, the b's with 2's, and the c's with 4's. you end up with  (-3(1)+4(2))  ³/2(4)-1

then you would solve that until you get,   (-3+8)³/8-1

then,  (5)³/7

and once you've solved that you get 19.28 or 125/7

Please help with this question ASAP

Answers

Answer:

x=8

Step-by-step explanation:

5(2)=10

4(2)=8

How do you write 3 exponents?

Answers

To write 3 exponents, you can use the following format: base^exponent.

An exponent is a small number that is written slightly above and to the right of a base number. The base is the number being multiplied, and the exponent tells you how many times the base is being multiplied by itself.

For example, to write 3 raised to the power of 2, you would write it as 3^2, which means 3 multiplied by itself 2 times, which is equal to 9.

It's important to note that the exponent is also known as the power, so 3^2, 3^3 and 3^4 are also read as 3 to the power of 2, 3 to the power of 3, 3 to the power of 4.

In summary, to write 3 exponents, you can use the format: base^exponent, where the base is the number being multiplied and the exponent tells you how many times the base is being multiplied by itself. In this case, 3^2, 3^3, and 3^4 represent 3 multiplied by itself 2, 3, and 4 times respectively.

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Analyze and Persevere Susan bought
3 plants that cost $2.75 each. She wants
to buy 3 clay pots that cost $4.15 each.
If Susan had $20 to start, does she have
enough money to also buy the clay pots?
Explain. Bc

Answers

Using arithmetic operations it can be seen that if Susan had $20 to start, she does not have enough money to buy 3 clay pots pricing $4.15 each after buying plants costing $2.75 each. She can buy 2 clay pots.

What are the types of arithmetic operation?

The four basic arithmetic operations in Maths, for all real numbers, are -

Addition (Finding the Sum; ‘+’)

Subtraction (Finding the difference;  ‘-’)

Multiplication (Finding the product; ‘×’ )

Division (Finding the quotient; ‘÷’)

Susan bought 3 plants that cost $2.75 each.

Using arithmetic operation of multiplication -

Total cost of the plants = number of plants bought × cost of each plant

Total cost of the plants = 3 × 2.75

Total cost of the plants = $8.25

Susan wants to buy 3 clay pots that cost $4.15 each.

Using arithmetic operation of multiplication -

Total cost of the clay pots = number of clay plots × cost of each clay pot

Total cost of the clay pots = 3 × 4.15

Total cost of the clay pots = $12.45

The total amount of money Susan has is $20.

She has already bought the plants.

So, the money left with her after buying the plants is -

Using arithmetic operation of subtraction -

Money left with Susan = Total money - Total cost of the plants

Money left with Susan = 20 - 8.25

Money left with Susan = $11.75

Therefore, Susan has enough money to buy only 2 clay pots and not 3.

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A triangle has two sides measuring 8. 5 cm and 15 cm. What are the least and greatest whole number possibilities for the third side? enter your answers in the boxes.

Answers

The least whole number possibility for the third side is 8 cm. The greatest whole number possibility for the third side is 22 cm.

A triangle is a three-sided polygon. It is a geometric shape that has three edges and three vertices. Triangles can be classified based on their side lengths (such as equilateral, isosceles, or scalene) or based on the angles between their sides (such as acute, right, or obtuse). Triangles are a fundamental shape in geometry and are used in many branches of mathematics and physics. To form a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.

Using this rule, we can find the possible range of values for the third side of the triangle.

The least possible length of the third side would be:

8.5cm + 15cm - 15cm = 8.5cm

The greatest possible length of the third side would be:

(8.5cm + 15cm) - 1cm = 22.5cm

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What equation is solved by the graphed systems of equations?

Answers

equation of first line -> y = x - 3

equation of second line -> y = 7x + 3

to get intersection, equate both equation

-> y = y

-> 7x + 3 = x - 3

What is 3 to the 2 exponent?

Answers

Answer:

It would be 6 because the exponent is 2 so you multiply 3 twice which equals 6

Step-by-step explanation:

3 to the 2nd exponent is 3^2 = 9.

What to do if the bases and exponents are different?

Answers

If the bases of two exponential expressions are different, they cannot be directly compared or combined.

THE BASE AND EXPONENTS

You can convert one of the bases to match the other by using logarithm properties. For example, if you want to compare or combine 2³ and 3², you can convert the base of one of them to match the other by using the logarithm property log3(3²) = 2, so 3² can be rewritten as 2^(log3(3²)) = 2².

If you want to add or subtract exponential expressions with different bases, you can convert one of the bases to match the other by using logarithm properties, then combine the exponents. For example, if you want to add 2³ and 3², you can convert the base of one of them to match the other by using the logarithm property log2(3) = 1.58496, so 3² can be rewritten as 2^(log2(3)*2) = 2^3.18992. Now you can add the two exponents: 2³ + 2^3.18992 = 2³ (1 + 2^0.18992).

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Identify the center of dilation.
-8 -4
8
-4
-8
ty
8
x₁
X

Answers

Therefore , the ratio of the triangles ABC and XYZ's corresponding sides will therefore be the same.

Describe the triangle.

A triangle is regarded as both a polygon since it has 4 elements or segments. It is a basic geometric form. Triangle ABC denotes a triangle having angles A, B, or C. Therefore, in Euclidean geometry, a single planes and square are produced whenever sides are not collinear. A triangle is a polygon if it has three parts and three corners. The points where a triangle's three sides come together are at its corners. The three triangular angles add up to 180 degrees.

Here,

An dilation is a change that produces an image that is smaller but still exactly the same shape also as original. A particular degree of stretching or contraction is possible for the initial figure.

We can see that in the problem, a 5x dilatation causes ABC to constrict to produce XYZ.

As a result, the triangles ABC or XYZ will have the same ratio of their corresponding sides.

A/B/C/D = A/C/X/Y/Z = 5

The ratio of the adjacent angles of the triangle ABC and XYZ will therefore be the same.

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What are the formula in coordinate geometry for Class 9?

Answers

The formula in coordinate geometry for Class 9 include distance formula, midpoint formula, section formula, equation of a line, slope of a line, equation of a circle, equation of a parabola, equation of an ellipse, equation of a hyperbola, area of a triangle, and area of a circle.

The distance formula is used to determine the distance between two points in a coordinate plane. The midpoint formula is used to find the midpoint between two points. The section formula is used to calculate the area of a triangle formed by three points. The equation of a line is used to define the line in terms of its slope and intercept. The slope of a line is used to calculate the angle of the line in relation to the x-axis. The equation of a circle is used to determine the equation of a circle with a given center and radius. The equation of a parabola is used to determine the equation of a parabola with a given focus and directrix. The equation of an ellipse is used to determine the equation of an ellipse with a given center and major and minor axes. In coordinate geometry the equation of a hyperbola is used to determine the equation of a hyperbola with a given center and asymptotes. The area of a triangle is used to find the area of a triangle given the three vertices. The area of a circle is used to find the area of a circle given the radius.

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Express 12^{\frac{1}{2}}12
2
1


in simplest radical form.

Answers

25/2 is simplest form of fraction.

In math, what is a fraction?

An element of a whole is a fraction. In mathematics, the number is represented as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction.

                      Whether it is in the numerator or denominator, a complex fraction contains a fraction. The numerator and denominator of a correct fraction are opposite each other. The Latin word fraction, which meaning "to break," is where we get the English word fraction.

Fraction = 12  1/2

              =   25/2

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A rectangle has a perimeter of 38.6 kilometers and a base of 16.2 kilometers. What is the height?

Answers

The height of the rectangle is 3.1 kilometers.

What is the height?

A rectangle is a 2-dimensional quadrilateral with four right angles and two diagonals which bisect each other . The perimeter of a rectangle is the distance round the rectangle. It is the sum of the four sides of the rectangle.

Perimeter of a rectangle = 2 x (height + width)

38.6 = 2 x (16.2 + height)

In order to determine the height, take the following steps:

38.6 / 2 = 16.2 + height

19.3 = 16.2 + height

height = 19.3 - 16.2 = 3.1 kilometers

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Lines AE and GH are parallel in the image below. The image will be used to prove that the sum of the measures or the
interior angles of ACGH is 180°.

Which statement would be included in a proof of why m/C+m/G+mZH= 180

Answers

Angles F and C are congruent. An angle inside a form is called an interior angle.

What is interior angle?An angle inside a form is called an interior angle. The closed shape with vertices and sides is called a polygon. Every interior angle of a regular polygon is equal to every other interior angle. For instance, the inner angles of a square are all equal to the right angle, or 90 degrees. A set's interior is comprised of all of its open subsets. The area of a region that is "within" a given border is more often referred to as the interior of a geometric structure. For instance, the interior of a circle and a sphere, respectively, is a (open) disk. Interior angles are the angles created within or inside of a shape. In this case, the interior angles ABC, BCA, and CAB.

From the figure, it can be seen that Angles F and C are opposite angles. Opposite angles are non-adjacent angles formed by two intersecting lines. Opposite angles are congruent .

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Angles F and C are congruent. An angle inside a form is called an interior angle.

What is interior angle?

An angle inside a form is called an interior angle. The closed shape with vertices and sides is called a polygon. Every interior angle of a regular polygon is equal to every other interior angle. For instance, the inner angles of a square are all equal to the right angle, or 90 degrees.

A set's interior is comprised of all of its open subsets. The area of a region that is "within" a given border is more often referred to as the interior of a geometric structure. For instance, the interior of a circle and a sphere, respectively, is a (open) disk. Interior angles are the angles created within or inside of a shape. In this case, the interior angles ABC, BCA, and CAB.

From the figure, it can be seen that Angles F and C are opposite angles. Opposite angles are non-adjacent angles formed by two intersecting lines. Opposite angles are congruent .

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-91x-13x= 276.50
Show work

Answers

Answer:

x = -2.65865384615

Step-by-step explanation:

-91x - 13x = 276.50

First, Combine Like Terms

-91x + (-13x) = -104x

-104x = 276.50

Second, divide

276.50 / -104 = x

x = -2.65865384615

Shannon babysits and charges a flat fee of $10 plus $2 for very hour she babysits. She needs to make $72 this week. How many hours can Shannon babysit

Answers

Answer:

72 divided by 12 is 6 so 6 hours she needs to babysit

use pascal’s triangle to expand (z+1)^6

Answers

The expansion of  (z+1)⁶ = z⁶ + 6z⁵+ 15z⁴ + 20z³+ 15z² + 6z + 1

Pascal's Triangle:

A type of number pattern is Pascal's Triangle. The triangle-shaped arrangement of integers known as Pascal's Triangle provides the coefficients for the expansion of any binomial statement.

The arrangement of the numerals creates a triangle when they are reflected. The number 1 is first placed at the top, and then the numbers are arranged in a triangle design.

The expansion of (x + y)ⁿ is is given by

(x + y)ⁿ = a₀xⁿ + a₁xⁿ⁻¹y + a₂xⁿ⁻²y² + … + a[tex]_{n -1}[/tex] xyⁿ⁻¹ + a[tex]_{n}[/tex]yⁿ  

Here we have (z+1)⁶

Write out Pascal's triangle starting from 1 and up to 6 rows

                                1

                           1         1    

                      1         2         1      

                 1         3         3        1          

            1        4          6         4       1    

      1         5        10         10      5        1  

1          6         15         20      15      6        1    

So coefficients of expansion are 1, 6, 15, 20, 15, 6, and 1  

(z+1)⁶ =  (1)z⁶ + (6)z⁵(1)+ (15)z⁴(1)² + 20z³(1)³ + 15z²(1)⁴ + 6z¹(1)⁵ + (1)z⁰(1)⁶

=> (z+1)⁶ = z⁶ + 6z⁵+ 15z⁴ + 20z³+ 15z² + 6z¹ + 1

Therefore,

The expansion of  (z+1)⁶ = z⁶ + 6z⁵+ 15z⁴ + 20z³+ 15z² + 6z + 1

       

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How do you write a polynomial function with factors?

Answers

So on provided question we cans ay that Take the common binomial into account. Note that when we multiply our response by itself, the original polynomial results.

what are polynomials?

A mathematical expression made up of coefficients and uncertainty that only makes use of additions, subtractions, multiplications, and positive integer powers of variables is known as a polynomial. The formula x2 4x + 7 denotes a single indeterminate x polynomial. An expression in mathematics known as a polynomial is made up of variables (also known as indeterminates) and coefficients that may be added, subtracted, multiplied, and raised to negative integer powers of non-variables. An algebraic statement with variables and coefficients is called a polynomial. An expression can only contain the operations addition, subtraction, multiplication, and non-negative integer exponents. Polynomials are the name for these expressions.

here,

Group the first two terms first, followed by the last two terms. Remove a GCF from each each binomial. Take the common binomial into account. Note that when we multiply our response by itself, the original polynomial results.

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the average person's heart beats about 4,200 times in 1 hour. Write and solve an equation to find about how many times that is per minute

Answers

60-100 beats per minute

[Algebra, polynomials] I'd like help with further explanation with what the image is telling me. I understand that you find the GCF of each term, but for the question I don't know why the GCF of the exponents are 3. I thought 4 would be the GCF. I don't think I learned how to find GCF properly.

As for the second image, I just have no clue on how to do it. I don't want just the answer. Anyone good with math please help :)

Answers

Answer: For the GCF one, the GCF would be [tex]3y^{3}[/tex] because you are factoring from both [tex]15y^{4}[/tex] and [tex]12y^{3}[/tex], the reason it cannot be [tex]3y^{4}[/tex] is because that exponent value exceeds the exponent value of [tex]12y^{3}[/tex].

Step-by-step explanation:

So when you find a greatest common factor (GCF) you are basically trying to simplify the expression by extracting numbers to put it into its simplest form. The GCF of 15 and 12, is 3. And the GCF of the exponents would be [tex]y^{3}[/tex] .

Sergio has p paintings in his art collection. He and other local painting collectors agreed to donate a total of 48 paintings to the local museum. Each of the 12 collectors will donate the same number of paintings How many paintings will Sergio have in his art collection after his donation?

Answers

Step-by-step explanation:

The question is a bit confusing, so I am going to reword it to what I assume it means, which is, “Sergio initially has “p” paintings. There are 12 art collectors total, including Sergio. All the art collectors together donate a total of 48 paintings, and each art collector donates the same number of paintings. How many paintings does Sergio have left?”

p = number of Sergio’s paintings at the start.

p-X = the number of Sergio’s paintings at the end.

48 = the total number of paintings donated by all art collectors

12 = number of art collectors

48/12 = 4 = the number of paintings that each art collector donated

4 = X = the number of paintings that Sergio donated

p-4 = the number of paintings Sergio has left (answer)

(My regrets if my understanding of the question was something other than the above.)

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In what ways did the alps both protect rome and help hannibal attempt a sneak attack a severely depressed patient shows vegetative signs of depression. interventions to be implemented should include: (select all that apply.) group of answer choices monitoring food and fluid intake. offering laxatives as needed. providing a quiet sleep environment. doubling the daily caffeine intake. restricting intake of processed foods. promoting adequate attention to hygiene. A signal x [n] is quantized with a 4-bit ideal uniform quantization scheme. Provide the integer number of quantization level values as your answer. Find the maximum rate of change of the function f(x, y) = ye^(xy) at the point (0, 1)and find the direction in which it occurs. a full elliott wave ccycle is made up of eight waves. true false when nour started her internship, she quickly learned that not everyone uses technology as she does for her classes, especially customers and clients in international markets. for example, nour is very used to almost instantaneous responses from her friends when she messages them. some co-workers and team members do not respond for a day or two. additionally, her customer in the middle east uses different technology from what nour is used to. nour was surprised when the first meeting with the international client was conducted using video conferencing. nour expected many decisions to be made and important information to be shared and expected the group to be very direct and to-the-point to avoid any confusion or miscommunication. nour was surprised that very little business was talked about. instead, the project manager asked about the client's family and the upcoming holidays and spoke about his family as well. no business was conducted at all! when a new team is formed, it moves through a process that will help the team set rules and create understanding. since nour's group is new, what can the team do to lay the foundation of a successful group process, and build trust and understanding? if you apply formatting to a text box, you can set that formatting to be the default for new text boxes that you create in the presentation.T/F? can we ignore the mass hanger when we vibrate the system to find k The major reason many human diseases thought to have been eradicated are reappearing is humans are less active and less fit than in the past Osome people have avoided vaccinating their children due to fears of bad side effects diseases were frozen during the Cold War and are now being released by bioterrorists O because diseases have evolved to be more virulent over the last few decades most of those recovered from or vaccinated against the diseases have died of old age Suppose a student has no knowledge about the problems and answers every problem with a random choice. what is the expected score of the student? Consider a monopolistically competitive market with N firms. Each firm's business opportunities are described by the following equations:Demand: Q=100/N-PMarginal Revenue: MR=100/N-2QTotal cost: TC=50+Q(squared)Marginal Cost: MC=2Qa. How does N, the number of firms in the market, affect each firms demand curve? Why.b. How many units does each firm produce? (The answer to this and the next two questions depend on N.)c. What price does each firm charge?d. How much profit does each firm make?e. In the long run, how many firms will exist in this market? What type of punishment occurs independent of social mediation of others? How much will it cost per day to keep a house at 20C inside when the external temperature issteady at 5 C using direct electric heating if the house is rated at 150 W/ C and electricitycosts $0.15/kWh? Mateo describes g(x) = 3 * (x + 7) ^ 2 - 6 as the graph of the parent function stretched vertically and translated 7 units left and 6 units down. Complete each statement to justify Mateo's solution. The graph is stretched vertically because ____(k,h,a) ____ () 1.The graph is translated left because ____ (a,h,k)____()0.The graph is translated down because ___ (K,h,a) ___()0. Arbitron Media Research Inc. conducted a study of the iPod listening habits of men and women. One facet of the study involved the mean listening time. It was discovered that the mean listening time for a sample of 8 men was 33 minutes per day. The standard deviation was 10 minutes per day. The mean listening time for a sample of 8 women was also 33 minutes, but the standard deviation of the sample was 12 minutes. At the 0.10 significance level, can we conclude that there is a difference in the variation in the listening times for men and women? 5 major events leading up to Johannes Keplers lifetime? A certain man has a mass of 80 kg and a density of 955 kg/m3 (excluding the air in his lungs). (a) Calculate his volume. (b) Find the buoyant force air exerts on him. (c) What is the ratio of the buoyant force to his weight?