What is the area of the shape for the quilt block? ninety-four and one half in2 one hundred sixty-six and one half in2 189 in2 333 in2

Answers

Answer 1

The area of the shape for the quilt block is 166.5 in²

What is an area?

The area is the region bounded by the shape of an object. The space covered by the figure or any two-dimensional geometric shape, in a plane, is the area of the shape

Given that, a quilt has blocks of design on it, we need to find the area of the block,

To find the area of the block = sum of the areas of the right triangle and the rectangle,

Area of the block = 16 × 9 + 6 × 7.5 × 1/2 = 166.5 in²

Hence, the area of the shape for the quilt block is 166.5 in²

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The figure is unavailable is the question is solved for the figure attached

What Is The Area Of The Shape For The Quilt Block? Ninety-four And One Half In2 One Hundred Sixty-six

Related Questions

Alberto started out bench pressing 60 pounds. He then added 5 pounds every week. Determine whether the situation is linear or nonlinear, and proportional or nonproportional

Answers

Answer

linear

nonproportional

Step-by-step explanation:

Since for each equal change in time (1 week), there is an equal change in weight (5 lb), the situation is linear.

At time zero, the first week, the weight was not zero. It was 60 lb, so it is not proportional.

Answer:

linear

nonproportional

After the reflection of about X-axis,if the image of a point P is P’(-x,-y), in which quadrant does P lie and what is its coordinates?

Answers

The original coordinates are P(-x, y), and it is on the second quadrant.

In which quadrant does P lie and what is its coordinates?

Remember that for a general point (a, b), a reflection about the x-axis changes the sign of the y-component, so we will get the image (a, -b)

Here we know that the image after the refection is P' = (-x, -y), then the coordinates of point P are (-x, y)

If we assume both x and y to be positive, then point P would be on the second quadrant.

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Given f(x)=-x+2,find f(4)

Answers

Answer:

To find f(4), we simply need to substitute 4 for x in the equation for f(x):

f(x) = -x + 2

f(4) = -(4) + 2

f(4) = -2

Therefore, f(4) = -2.

Step-by-step explanation:

f(x)=x
2
−4
To find:
f(4)=?

Solution:
f(x)=x
2
−4
or, f(4)=4
2
−4

or, f(4)=16−4

or, f(4)=12

Bella works at a popular clothing store. Last winter, her manager asked her to track the
store's sweater sales. This box plot shows the results.
Price of sweaters sold ($)
30
40
50
60
What fraction of the sweaters cost $50 or less?
80

Answers

Answer:

Answer is 1/2. Box plot is split into quarters. So 1/4 + 1/4 = 1/2

Each month, a phone company charges $35 for 600 minutes of talk time
plus $0.35 for each additional minute. Unlimited texting costs $20 more.
Write an expression to show the cost of a talk-and-texting plan for one
month, given x minutes over 600.

Answers

The requried expression that describes the cost of a talk-and-texting plan for one month, given x minutes over 600 is 35 + 0.35(x) + 20.

What are equation models?

The expression model is described as the model of the given situation in the form of an equation using variables and constants.

here,
The cost of a talk-and-texting plan for one month can be expressed as:

= 35 + 0.35(x) + 20

where x is the number of minutes over the 600 minutes included in the plan. The first two terms represent the cost of talk time, while the last term represents the cost of unlimited texting.

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Which angle is formed by a secant and tangent line?ANGA) GSEB) EGSC) NGL

Answers

In the image line segment SE is the tangent. The secant line making an angle with tangent line SE is NS. So the angle is ∠GSE. So option B is the correct answer.

Tangent is a line which intersect with only a single point on the curve. The point where the line meets is the point of tangency. Tangent line is always perpendicular to the radius drawn to the point of tangency. Here the tangent line is SE, point of tangency is S.

Secant lines are the lines which passes through two points of a curve. A chord drawn to the circle is a secant line. Here there are two secant lines NS and NA. Here only NS makes an angle with the tangent line.

So the angle made by a tangent and secant line is ∠GSE.

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The image for the question is attached below.

Write the linear equation for the graph below.

pls help i’m failing mathhh:(

Answers

Answer: y = 6x

Step-by-step explanation:

Answer:

y = 6x

In real-world terms
x = number of sandwiches

y = total cost of x sandwiches in dollar amounts

Step-by-step explanation:

The first piece of advice I have for you is to have confidence in yourself that you will succeed. That is what learners and tutors here at brainly are for. To help out.

Now to explanation of the problem and solution
The linear equation of a graph can be written in a couple of ways. On ios the standard form which is of the form
Ax + By = C where A, B and C are constants

The other is in slope-intercept form which is written as
y = mx + b

Here m is the slope which is also referred to as rise/run. I will explain these terms as we solve the problem

b is the y-intercept. This is the y-value at which the line crosses the y-axis. It corresponds to the value of y when x = 0

Sometimes the graph will not show the complete line so we cannot determine where the line crosses the y-axis. In this case this determination is a cinch

Looking at the graph, we see the line crosses the y-axis at (0,0) which is the origin

Therefore the y-intercept is 0 and hence b=0

Hence we get the line equation as

y = mx + b
==> y = mx + 0
==> y = mx

Let's find m, the slope:
Take any two points on the line. Here two points have been identified as (1, 6) and (4, 24)

The difference in y-values for these two points is 24 - 6 = 18.
This difference in y-values is known as the rise since it is measured vertically

The corresponding difference in x values is 4  - 1 = 3
This is referred to as run because it is measured horizontally

The slope m = rise/run
Here m = 18/3 = 6

Therefore plugging in m = 6 the equation in slope-intercept form is
y = 6x

Slope has another meaning. It signifies the rate of change
In this particular case in real-world terms it means that the cost of sandwiches is proportional to the number of sandwiches

Every sandwich you purchase will cost you $6 more

So the cost per sandwich is $6

For 1 sandwich -→ $6,

For 2 sandwiches → $12

For 7 sandwiches → $42

and all this is clearly evident in the graph

Hope that helps you and good luck on all your subjects

Solve the L.P.P graphically- Maximize z=y-2x subject to x-y >=2 ,x + y<=4 , x>=0 ,y>=0

Answers

Answer: 8y=2h

Step-by-step explanation: you have to subtract the first 2 numbers then add the others and then add letters and boom

composite figure is shown. Which of the following represents the total area of the figure?

Answers

The total area of the composite figure can be found to be 24. 52 cm ²

How to find the total area ?

First, find the area of the first triangle :

= 1 / 2 x base x height

= 1 / 2 x 3 x 2. 7

= 4. 05 cm ²

The area of the second triangle :

= 1 / 2 x 3 . 4 x ( 6. 8 - 2 . 7 )

= 6. 97 cm ²

Then the area of the rectangle :

= 5 x 2. 7

= 13. 5 cm ²

The total area of the composite shape is :

= 13.5 + 6.97 + 4. 05

= 24. 52 cm ²

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a frequency distribution usually has equal bin widths. T/F

Answers

A frequency distribution usually has equal bin widths is the true statement.

All the line charts are not used for the purpose of cross-sectional data. A scatter plot is very useful in this process of visualizing trends over time. A scatter plot essentially requires two quantitative variables (i.e., not categorical data).

The difference of the maximum and minimum values is divided by the number of bins.

1. Identify the maximum and minimum values of the quantitative data.

2. Subtract the minimum value from the maximum value to get the difference

3. Divide the difference by the number of bins to get the approximate width of each bin

The width of the bins in a frequency distribution of quantitative data can be estimated by dividing the difference between the maximum and minimum values of the data by the desired number of bins. This will provide an approximate size for each bin, that can then be used to construct the frequency distribution.

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Help me please!! T^T

Answers

The length of line FG is 16 units

How to find length of FG

The length of FG is equal to length GH that is to say

line FG = line GH

From the problem, we have that

FG = x  + 11

GH = 3x + 1

Equation both lines

x + 11 = 3x + 1

collecting like terms

11 - 1 = 3x - 1

10 = 2x

rearranging and isolating x

2x = 10

x = 5

The line FG = x + 11 = 5 + 11 = 16 units

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Julie wants to make an open-top box by cutting out corners of a square piece of cardBoard and folding up the sides. The cardboard is 10 centimeters by 17 centimeters. The volume V(x) in cubic centimeters of the open-top box is a function of the side length x in centimeters of the square cut outs

Answers

The expression for V(x) can be written as:

V(x) = (10 - 2x)(17 - 2x)(x)

The volume of the box when x = 3 is 132 cubic centimeters.

Find the volume

To find the volume of an open-top box, we need to find the product of its length, width, and height. In this case, the length and width of the box will be the original dimensions of the cardboard minus twice the side length of the square cutouts, and the height will be the side length of the square cutouts.

a) The expression for V(x) can be written as:

V(x) = (10 - 2x)(17 - 2x)(x)

b) To find the volume of the box when x = 3, we simply need to plug in the value of x into the expression for V(x) and simplify:

V(3) = (10 - 2(3))(17 - 2(3))(3)

V(3) = (10 - 6)(17 - 6)(3)

V(3) = (4)(11)(3)

V(3) = 132

Therefore, the volume of the box when x = 3 is 132 cubic centimeters.

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Keith needs to buy some pencils. Brand A has a pack of 24 pencils for $8.77. Brand B has a pack of 26 pencils for $9.84.
Find the unit price for each brand. Then state which brand is the better buy based on the unit price.
Round your answers to the nearest cent.
Unit price for the Brand A pencils:
Unit price for the Brand B pencils:
The better buy:
O Brand A
O Brand B
for each pencil
$for each pencil
Neither (They have the same unit price)

Answers

The brand that is the better buy based on their unit price is; Brand A

How to find the Unit Price?

A unit price is defined as the price for one item or measurement, such as a pound, a kilogram, or a pint, which can be used to compare the same type of goods sold in varying weights and amounts.

It is also referred to as a product's average price which is the result of dividing the product's total sales revenue by the total units sold.

Thus;

Unit price of Brand A = 8.77/24 =$0.365 per pencil

Unit price of Brand B = 9.84/26 = $0.378 per pencil

The cheaper one is the better buy which is Brand A.

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When Xochitl runs the 400 meter dash, her finishing times are normally
distributed with a mean of 84 seconds and a standard deviation of 2.5
seconds. Using the empirical rule, determine the interval of times that
represents the middle 68% of her finishing times in the 400 meter race.

Answers

Answer: The empirical rule states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.

In this case, the mean of Xochitl's finishing times is 84 seconds and the standard deviation is 2.5 seconds, so the interval that represents the middle 68% of her finishing times is:

[84 - 2.5, 84 + 2.5] = [81.5, 86.5]

So, we can conclude that the middle 68% of Xochitl's finishing times in the 400 meter race fall between 81.5 and 86.5 seconds.

Step-by-step explanation:

Create a large coordinate graph on graph paper
and graph the triangle at right. Multiply the
y-coordinate of each point by 4. Then graph the
new shape. Make sure you connect your points.
List the points for the new shape. Are the two
figures similar? Why or why not?

Answers

The two figures (i.e. triangles) are similar triangles

How to determine if the triangles are triangles

Let's create a triangle with the following coordinates:

A = (0, 0)

B = (3, 0)

C = (0, 4)

To get the new coordinates, we need to multiply the y-coordinate of each point by 4:

A' = (0, 0 * 4)

B' = (3, 0 * 4)

C' = (0, 4 * 4)

So the new points are:

A' = (0, 0)

B' = (3, 0)

C' = (0, 16)

To determine if the two figures are similar, we need to check if they have the same shape but different sizes.

Specifically, the new triangle is four times larger in the vertical direction but has the same shape and angles as the original triangle.

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Select the graph of y = csc x.

Answers

Graph of y = cosec x is attached below.

What is trigonometric ratio?

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.

Given function,

y = cosecx

when x = (π/2)

y = cosec (π/2)

y = 1

when x = π

y = cosec π

y = ∞

when x = 3π/2

y = cosec 3π/2

y = -1

By the calculation, graph of y = cosecx is drawn as follows.

Hence, graph of y = cosecx is attached below.

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A
65°
Reflex Angle B =
degrees.

Answers

The measure of angle B is given as follows:

<B = 295º.

How to obtain the measure of angle B?

Angles A and B in the context of this problem are reflex angles, meaning that the sum of their measures is of 360º.

The measures are given as follows:

<A = 65º.<B is unknown.

Hence the measure of angle B is obtained as follows:

65 + <B = 360

<B = 360 - 65

<B = 295º.

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how to properly measure the volume of water in a calibrated glass device, such as a graduated cylinder ?

Answers

To properly measure the volume of water in a calibrated glass device such as a graduated cylinder, follow these steps:

Place the graduated cylinder on a flat, level surface.Record the volume to the nearest graduation mark, taking care to estimate any volume that falls between two graduation marks.Repeat the measurement several times to ensure accuracy and consistency.If the water is not clear, you may need to compensate for the effects of the air bubbles that are trapped in the water by gently tapping the cylinder. This will release the bubbles and help to give a more accurate reading.Read the scale of the cylinder from the bottom of the meniscus, which is the curved surface of the liquid. The meniscus should be read at eye level to eliminate parallax error.If necessary, adjust the cylinder so that the scale is straight and the meniscus is centred over the scale.Always rinse the graduated cylinder with distilled water before and after each use to prevent contamination and ensure accuracy.

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compute the number of ways you can select 3 elements from 7 elements.
a. 343
b. 10
c. 21
d. 35

Answers

The number of possible ways in which we can select 3 elements from 7 elements are  given in option d. 35.

There are a total of 7 elements and we can to select 3 elements out of them.

We have to apply the permutation and combination here in order to find the answer,

The formula is ⁿCₐ

Where, C represents combination,

n is the total number of combination,

a is the number of selections that we have to do,

ⁿCₐ = n!/(n-a)!a!

Now, putting n = 7 and a = 3,

ⁿCₐ = 7!/(4)!3!

ⁿCₐ = 35

So, the total number of ways possible are 35.

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Eight hundred tickets are sold for a play. Thirty-five percent of those tickets were sold in advance. Which equation
can
be used to find the number of tickets sold in advance?
800+8
100
• 35+8 4.375
100+8 12.5
800+8 100
35x8
280
800 x8 6400
35x8 280
O 100x8 800

Answers

The equation which represents the number of tickets sold in advance is 0.35 × 800

Which equation can be used to find the number of tickets sold in advance?

Total tickets sold for a play = 800

Percentage of tickets sold in advance= 35%

Number of tickets sold in advance= Percentage of tickets sold in advance × Total tickets sold for a play

= 35% × 800

= 0.35 × 800

= 280 tickets

In conclusion, 280 tickets were sold in advance.

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Aneesha travels at a rate of 50 miles per hour. Morris is traveling 3 feet per second less than Aneesha. Which is the most accurate rate of speed Morris is traveling?


1 mile = 5,280 feet


45 miles per hour

46 miles per hour

47 miles per hour

48 miles per hour

Answers

Answer:

Step-by-step explanation:

The best estimate of the speed Morris is traveling will be 48 miles per hour.

What is conversion?

Conversion means to convert the same thing into different units.

Aneesha travels at a rate of 50 miles per hour. Morris is traveling 3 feet per second less than Aneesha.

We know that 1 mile = 5,280 feet.

Then convert the feet per second to miles per hour. Then the speed of the Morries will be

⇒ 3 feet / 1 second

⇒ (3 / 5285) miles / (1 / 3600) hour

⇒ (3 / 5285) x (3600)

⇒ 2 miles per hour

Then the best estimate of the speed Morris is traveling will be

⇒ 50 - 2

⇒ 48 miles per hour

The best estimate of the speed Morris is traveling will be 48 miles per hour.

48 miles per hour

3 feet / second

There are 5285 feet in a mile

60(seconds in a minute) x 60(minutes in an hour) which 60x60=3600 seconds per hour

3600x3 to find out how many feet per hour
3x3600=10,800 feet slower per hour

10,800 % 5,280 (feet in mile) = 2 mph slower

50mph - 2mph = 48mph

Find the missing angle measurement.
?
OA) 3 degrees
OB) 13 degrees
OC) 23 degrees
OD) 90 degrees
67°

Answers

Answer:

23 degrees

Step-by-step explanation:

Sum of interior angles in a triangle = 180°


Sum of interior angles in the right- angled triangle in the question:
    67° + 90° + ? = 180°

= ? = 180° - 90° - 67°

? = Missing angle measurement = 23°

                                                           = 23 degrees

what is the value of x? enter your answer in the box.______ units

Answers

The value of x is 8 units by using Pythagorean theorem.

If x and 6 are the lengths of the legs of a right triangle and the length of the hypotenuse is 10, then we can use the Pythagorean theorem to find the value of x.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs.

So in this case:

x^2 + 6^2 = 10^2

Expanding the squares and solving for x:

x² + 36 = 100

x² = 100 - 36

x² = 64

x = [tex]\sqrt{64}[/tex]

x = 8

So the value of one leg of x is 8 units and other which is given is 6 units.

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____ The given question is incomplete, the correct question is given below:

What is the value of x?

Enter your answer in the box.

x=

A right triangle. The legs are labelled x and six, and the hypotenuse is labelled ten.

Quadrilateral QRST is shown, with side lengths in inches (in.) and angle measurements in degrees.
2 in.
R
135°
3 in.
√18 in.
45°
S
5 in.
Lynn draws quadrilateral WXYZ, which is similar to quadrilateral QRST, with WX = 5 in
Enter values in the blank boxes to make the statement true.
The length of WZ is
2
degrees.
inches and the measure of angle Y is

Answers

The value of length WZ is 7.5 in and angle Y is 45°

What are similar shapes?

Similar shapes are enlargements of each other using a scale factor. All the corresponding angles in the similar shapes are equal and the corresponding lengths are in the same ratio. E.g. These two rectangles are similar shapes.

therefore;

WZ /QT =WX/QR

represent WZ by x

x/3 = 5/2

2x = 15

x = 15/2

x = 7.5

therefore the value of WZ = 7.5 in

Since the two quadrilaterals are similar angle Y is 45°

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Please help I can’t do this

Answers

The four consecutive numbers which adds to give 130, are 31, 32, 33, 34

What are consecutive numbers?

Numbers that follow each other continuously in the order from smallest to largest are called consecutive numbers.

Given that, there are four consecutive numbers which adds to give 130,

According to the definition of consecutive numbers, we add 1 to each previous integer to get the successive integer,

Therefore, let us consider x, x+1, x+2, x+3 be the four consecutive numbers,

Therefore,

x+x+1+x+2+x+3 = 130

4x + 6 = 130

4x = 124

x = 31

Therefore, the required consecutive integers are, 31, 32, 33, 34

Hence, the four consecutive numbers which adds to give 130, are 31, 32, 33, 34

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The sum of 4 44 consecutive integers is 198 198198. What is the fourth number in this sequence?.

Answers

With the sequence having sum of four consecutive integers as 198 , the fourth integer in the sequence is calculated to be 51.

Let's call the first integer in the sequence "x". Since the integers are consecutive, the next three integers in the sequence would be "x + 1", "x + 2", and "x + 3". The sum of these four integers can be represented as:

x + (x + 1) + (x + 2) + (x + 3) = 198

Expanding and simplifying the left side of the equation, we get:

4x + 6 = 198

Subtracting 6 from both sides of the equation, we get:

4x = 192

Dividing both sides of the equation by 4, we get:

x = 48

So the first integer in the sequence is 48. To find the fourth integer in the sequence, we add 3 to the first integer:

x + 3 = 48 + 3 = 51

So the fourth integer in the sequence is 51.

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what are the domain and range of the following quadratic

Answers

Answer:

ranalllldooo

Step-by-step explanation:

suiiiiiii

I’m stuck on this, can smb help me

Answers

The only coordinate solution in the table is (8, -9), the other coordinates are not a solution.

Finding the solution to a linear equation.

A linear equation is an equation that has a leading degree of 1.  Given the linear equation below:

4x + 5y = -13.

We are to determine the coordinates that form a solution.

For (8, -9)

4(8) + 5(-9) = 32 - 45

4(8) + 5(-9) = 13

Hence the coordinate (8, -9) is a solution

The other given coordinates are not a solution since the result on substituting their coordinate will not result in. -13

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PLEASE ANSWER
!!!!!!!!

Answers

The measure of angle X is given as follows:

40º.

How to obtain the value of x?

We have two secants in this problem, and point C is the intersection of the two secants, hence the angle measure of x is half the difference between the angle measure of the largest arc by the angle measure of the smallest arc.

The arc angles are given as follows:

125º and 45º.

Hence the value of x is given as follows:

X = 0.5 x (125 - 45)

x = 40º.

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Write an equation for the table.
Pls help!

Answers

Answer:

y = -3x + 10

where y = Value and x = Position

or

Value = - 3(Position) + 10

Step-by-step explanation:

We can determine a linear equation for this table in slope-intercept form

The slope intercept form of a linear equation is

y = mx + b

y is referred to as the dependent variable and x the independent variable

Here m is the slope which is the rate of change of y with respect to x

b = y-intercept which is the value of y when x = 0

For the given table it appears that the value is dependent on the position

So the independent variable, let's call it x, is position

The dependent variable, y, is value

Plugging values of x, y into the generalized equation

y = mx + b

At x(position) = 1, we get y = 7
==> 7 = m(1) + b  
==> 7 = m + b
== m + b = 7         ............................. (1)

At x = 3, y = 1

==> 1 = m(3) + b
==> 1 = 3m + b
==> 3m + b = 1       ..............................(2)

If we subtract  equation 1 from equation (2) we get
(3m + b) - (m + b) = 1 - 7

3m - m + b - b = -6

2m + 0 = -6

2m = -6

m = -6/2 = -3

So we now know m = -3 we can write the equation as

y = -3m + b

To find b, plug in any value of x and corresponding y from the table and solve for b. remember that x is position and y is value

Let's choose the last entry x = 9, y = -17

Plugging these into y = -3x + b gives

-17 = -3(9) + b

-17 = -27 + b

Switch sides:
- 27 + b = -17

Add 27 to both sides:
- 27 + 27 + b = -17 + 27

b = 10

So the equation for the table is

y = - 3x + 10

or in terms of the table
Value = - 3(Position) + 10

You can check this is correct by choosing a value for position from the table and seeing the equation value is consistent with the given value

Other Questions
in a criminal case, the state must prove its case by a preponderance of the evidence.true or false what do you think about education? Is education importabt? What is a famous quote from John Steinbeck? Please help!!!! Factor What is the definition "monarchy"?A. Rule by one personB. Rule by elected representativesC. Rule by the many, or the peopleD. Rule by a god or gods, either directly or indirectly Who was the original singer of Lynyrd Skynyrd? Classify each scenario based on whether it will lead to upward or downward pressure on the equilibrium price of the good marked in bold. Upward pressure on price Downward pressure on price Answer Bank The Nile River floods this year adding an exceptional amount of silt to the soil, resulting in increased crops of cotton. An outbreak of mad cow disease causes Americans to abstain from eating beef. An impending nuclear holocaust causes people to stock up on twonkies, a popular snack cake provided by many companies. Extreme weather in New York, where the Super Bowl is scheduled to be played, makes people disinterested in purchasing Super Bowl tickets. which one of the following terms is best used to refer to "a city and its suburbs"? urbanized (or urban) areaMetropolitan areamegalopolisurban place fill in the blank. a(n)___solution makes all of the computing hardware resources available, and the customers, in turn, are responsible for installing and managing the systems, which they can normally do, for the most part, over the internet. Implement a program that reads in a text file, counts how many times each word occurs in the file and outputs the words (and counts) in the increasing order of occurrence, i.e. the counts need to be output in sorted order rare words first. Word is any sequence of alphanumeric characters. Whitespace and punctuation marks are to be discarded. That is, the punctuation marks should not be counted either as a part of the word or as a separate word. You are free to make your program case sensitive (Hello and hello are counted as separate words) or case insensitive. File name is supplied on command line. You are to use the following classes.Using vectors is not allowed. You may use standard sorting algorithms or implement insertion sort form scratch. For the second class (WordList), implement a copy constructor (implementing deep copy), destructor and an overloaded assignment (either classical or copy-and-swap). Make sure your class works correctly with the following code. For your constructors, use member initialization lists where possible, use default values for function parameters where appropriate. Enhance class interface if necessary.demo code:class WordOccurrence {public:WordOccurrence(const string& word="", int num=0);bool matchWord(const string &); // returns true if word matches storedvoid increment(); // increments number of occurrencesstring getWord() const; int getNum() const;private:string word_;int num_;};class WordList{public:// add copy constructor, destructor, overloaded assignment// implement comparison as friendfriend bool equal(const WordList&, const WordList&);void addWord(const string &);void print();private:WordOccurrence *wordArray_; // a dynamically allocated array of WordOccurrences// may or may not be sortedint size_;}; What is the answer to this equation: [tex]4\cdot\frac{(6^2\cdot10+\sqrt{-600+5000\cdot3})}{4!}-\log_{10}{((\frac{1}{100})^{-\frac{1}{2}}\cdot10^{10})}[/tex] What is the area of a triangle that has a base of 4 1/2 inches and a height of 3 inches The sum of two numbers is 46 and the difference is 12. What are the numbers?Larger Number :Smaller Number : What is the area of the parallelogram? What was Shirley Chisholm most famous quote? What is the famous quote of John Donne? Between 1800 and 1910, the percentage of the U.S. population living in cities of 100,000 residents or larger went from ____ percent to roughly ___ percent.a. 15; 20b. 10; 20c. 5; 20d. 0; 20 I) Design a concerto grosso using today's instrumentation or any of the earlier types of instruments. Choose 3 soloists. Define your tutti section (in other instruments). Soloists: (1) (2) (3) Tutti: ____________________________________________________________ Which of your solo instruments will play the spectacular solo cadenza right before the tutti plays one more final ritornello? _________________ Which of the following administrative agencies is not an independent agency? use exhibit 1-2 multiple choice:a. the equal employment opportunity commissionb. the national transportation safety boardc. the nuclear regulatory commissiond. the small business administratione. the federal trade commission In which list can all particles be accelerated by an electric field?1) Alpha, beta, and neutrons.2) Alpha, protons, and neutrons.3) Alpha, beta, and protons.4) Beta, protons, and neutrons