Find c. Round to the nearest tenth.

The equilibrium price is $0 and the equilibrium quantity is 5 units.

To find the equilibrium price and quantity, we need to set the quantity demanded equal to the quantity supplied and solve for the equilibrium values.

Setting Q_d = Q_s, we can equate the equations for demand and supply:

-2Q - 2Q_d = -5 + 3Q_s

Since we know that Q_d = Q_s, we can substitute Q_s for Q_d:

-2Q - 2Q_s = -5 + 3Q_s

Now, let's solve for Q_s:

-2Q - 2Q_s = -5 + 3Q_s

Combine like terms:

-2Q - 2Q_s = 3Q_s - 5

Add 2Q_s to both sides:

-2Q = 5Q_s - 5

Add 2Q to both sides:

5Q_s - 2Q = 5

Factor out Q_s:

Q_s(5 - 2) = 5

Q_s(3) = 5

Q_s = 5/3

Now that we have the value for Q_s, we can substitute it back into either the demand or supply equation to find the equilibrium price. Let's use the supply equation:

P = -5 + 3Q_s

P = -5 + 3(5/3)

P = -5 + 5

P = 0

Therefore, the equilibrium price is $0 and the equilibrium quantity is 5 units.

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The different teams of 6 students that can be formed for competitions is 3003

From the question, we have the following parameters that can be used in our computation:

Students = 14

Students in the team = 6

Using the above as a guide, we have the following:

n = 14

r = 6

The different teams of 6 students that can be formed for competitions is calculated as

Teams = nCr

substitute the known values in the above equation, so, we have the following representation

Teams = 14C6

So, we have

Teams = 14!/(6! * 8!)

Evaluate

Teams = 3003

Hence, the different teams of 6 students that can be formed for competitions is 3003

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The volume of the given hollow cylinder to the nearest whole number is 1102 cm³.

What is a cylinder?

One of the most fundamental curvilinear geometric shapes, a cylinder has historically been a three-dimensional solid. It is regarded as a prism with a circle as its base in basic geometry.

A cylinder has two distant, parallel circular bases. At a predetermined distance from the centre, a curved surface connects the two circular bases. The axis of the cylinder is the line segment connecting the centres of two circular bases. The height of the cylinder is defined as the distance between the two circular bases.

A cylinder that is hollow from the inside out and has a gap between its internal and external radii is referred to as a hollow cylinder. The hollow cylinder's base resembles an annular ring.

Given,

Inner radius r = 5cm

Outer radius R=8cm

Height h = 9 cm

The volume of a hollow cylinder =  π (R² - r²)h

                                                      = 3.14 *(8² - 5²)* 9 = 1102.14cm³

Therefore the volume of the given hollow cylinder to the nearest whole number is 1102 cm³.

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In parallelogram lonm, om is 34.

What is parallelogram?

A parallelogram is a straightforward quadrilateral with two sets of parallel sides in Euclidean geometry. A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of equal size.

A quadrilateral with the opposing sides parallel is called a parallelogram. A parallelogram with all right angles is known as a rectangle, and a quadrilateral with equal sides is known as a rhombus.

First we have OQ =QM,

So 2x+3=3x-4,

x =7.

Hence OM =2(17)=34.

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Answer: D) 34

Step-by-step explanation:

edge 2023

Answer:

First, let's define the transformations in a general way.

Vertical translation:

A vertical translation of N units is defined as:

g(x) = f(x) + N

if N is positive, the translation is up

if N is negative, the translation is down.

Horizontal translation:

A horizontal translation of N units can be written as:

g(x) = f(x - N)

if N is positive, the translation is to the right

if N is negative, the translation is to the left.

Reflected vertically (or a reflection over the x-axis)

This type of reflection changes the sign of the y component.

We can write those as:

g(x) = -f(x)

Then:

We start with the function:

f(x) = 2^x

First we reflect it vertically.

g(x) = -2^x

now we do a vertical translation of 5 units up, then:

g(x) = -2^x + 5

Now we do a translation of 3 units to the left, then we get:

g(x) = - 2^(x + 3) + 5

Then we already did the first step.

Now we want to find the domain for this function, the domain will be the set of the possible values of x that we can input in the function g(x).

Notice that in this function the denominator is never zero, so there are no values of x that generate problems here, so the domain will be the set of all real numbers, that can be written as:

(-∞, ∞)

3) Now we want to find the range, this is the set of the possible values of g(x).

The Largest value of g(x) will be when the exponential part tends to zero, this is for really small values of x, such that when x goes to minus infinity, -2^(x + 3) goes to zero.

Then:

g(-∞) ≈ 5

The maximum of the range is 5.

And we do not have a minimum, because as x increases the function will decrease infinitely.

Then the range will be:

(-∞, 5)

(A graph of the function can be seen below)

The number of Grade 6 students were asked in total is 100 students.

Let the number of students who choose Natural History be x.

Since the number of students who chose the Museum of Math was 50 more than the number of students who chose the Museum of Natural History. This will be x + 50

The ratio of students who chose the Museum of Math to students who chose the Museum of Natural History was 3 to 1. The expression will be illustrated thus:

1/3 = x/x+50

Cross multiply

3x = x + 50

Collect like terms

3x - x = 50.

2x = 50

Divide

x = 50/2

x = 25

Also, x + 50 = 25 + 50 = 75

The number of Grade 6 students that were asked will be:

= 25 + 75

= 100

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For an analysis of variance comparing four treatments, msbetween = 12. The value of ssbetween is 36.

A measure of variability is the variance. It is determined by averaging the squared deviations from the mean. Your data set's variability is shown by its variance. The variance is greater in respect to the mean when the data are more dispersed.

Finding the mean will allow you to compute the population's variance (the average). Squaring the result after deducting the mean from each data point in the sample. The outcomes are squared to make the adverse findings positive.

Data points' deviations from the mean are quantified by their variance. Layman defines variance as the degree to which a set of data (numbers) deviates from the mean (average) value.

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The Interval Notation is 12/23. Interval notation is simply a shortcut for writing numerical sets, specifically continuous ranges of real numbers.

Therefore,

Move all terms containing t to the inequality's left side. + Tap for more steps...

23 t + 2 ≤ 14

Move all terms that do not contain t to the inequality's right side. + Tap for more steps...

23 t ≤ 12

Divide each term in 23 t ≤ 12 by 23 and simplify.

+ Tap for more steps...

t ≤ 12/23

The result can be shown in multiple forms. Inequality Form:

t ≤ 12/23

Interval Notation:

( - ∞, 12/23)

Hence, The Interval Notation is 12/23.

The complete question is:

Solve for t , -48t+2<=-71t+14

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We will apply the formula for calculating the grade point average for the semester:(grade point value x credit hours)/total credit hours Patty's semester grade point average=((2 x 4) + (1 x 2) + (4 x 5) + (2 x 4))/15=22/15=1.47 (round off to two decimal places)= 1.47Hence, Patty's grade point average for the semester is 1.47.

Patty has just completed her second semester in college. She earned a grade of C in her 4 -hour calculus course, a grade of D in her 2-hour economics course, a grade of A in her 5 -hour chemistry course, and a grade of C in her 4 -hour creative writing course. Assuming that A equals 4 points, B equals 3 points, C equals 2 points, D equals 1 point, and F is worth no points, we need to determine Patty's grade-point average for the semester.Grades Grade Point Value Calculus C2 Economics D1 Chemistry A4 Creative Writing C2 .We will apply the formula for calculating the grade point average for the semester:(grade point value x credit hours)/total credit hours Patty's semester grade point average

=((2 x 4) + (1 x 2) + (4 x 5) + (2 x 4))/15

=22/15

=1.47 (round off to two decimal places)

= 1.47Hence, Patty's grade point average for the semester is 1.47.

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Answer:

24,150km

Step-by-step explanation:

The plane travels 3450km in 1 hr, since we need the distance traveled in 7 hrs we need to multiply 3450 by 7.

distance in 7hrs: 3450*7 = 24,150km

Answer:

92

Step-by-step explanation:

1) 92-2=90

2) 90/3=30

(I hope this helps!)

Answer:

5.00+5.5+5.10+5.15+5.20+5.25= x

x is whatever the cost is.

if you want x, it is.... 31.2

or

y=5.00+5.5+5.10+5.15+5.20+5.25

If you want the equation in linear form (as in y= _x+b), then it is:

y=0.001x

sorry if im wrong! :D

Step-by-step explanation:

Just ask!

Hope this helps... :)

If you provide the desired standard error value, I can help you calculate the corresponding population standard deviation.

The standard error is a measure of the variability or uncertainty of a sample mean. It is calculated by dividing the population standard deviation by the square root of the sample size. Therefore, if we want the standard error to be smaller, the population standard deviation should be larger.

To determine how large the population standard deviation needs to be, we need to specify a desired standard error value. Without that information, it is not possible to provide a specific answer. The relationship between the population standard deviation and the standard error is inversely proportional, so as the population standard deviation increases, the standard error decreases.

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Answer:

x = 28

Step-by-step explanation:

ΔARP ≈ ΔCRD

42/x = 57/(10+x)

cross-multiply:

42(10+x) = 57x

420 + 42x = 57x

420 = 15x

28 = x

Answer:

(4,4)

Step-by-step explanation:

The solution set of the system of equations can be found by setting the two equations equal to each other and solving for x.

x^2 - 6x + 12 = 2x - 4

x^2 - 8x + 16 = 0

(x - 4)^2 = 0

x = 4

Since both equations in the system are equal to y, we can substitute x = 4 into either equation to find the corresponding value of y.

y = 2x - 4 = 2(4) - 4 = 4

Therefore, the solution of this system of equations is (4, 4).

Therefore, the correct answer is (4, 4).

Random assignment and random selection are both important concepts in research methodology, but they refer to different processes.

Random selection refers to the process of selecting individuals or elements from a population to be included in a study. The goal of random selection is to ensure that the sample is representative of the larger population. This helps to increase the generalizability of the findings to the population as a whole. For example, if a researcher wants to study the academic performance of high school students in a particular city, they might use random selection to select a sample of students from different schools in that city. This helps to ensure that the sample represents the diversity of students in the population.

On the other hand, random assignment refers to the process of assigning participants to different groups or conditions in a study. The goal of random assignment is to minimize any pre-existing differences between the groups, making it more likely that any differences observed between the groups can be attributed to the independent variable being studied. For example, if a researcher wants to investigate the effectiveness of a new teaching method, they might randomly assign half of the participants to receive the new method and the other half to receive the traditional method. Random assignment helps to ensure that the groups are comparable at the start of the study, reducing the likelihood of confounding variables.

In summary, random selection is about selecting a representative sample from a population, while random assignment is about assigning participants to groups or conditions in a study. Both processes are important in research methodology to ensure accurate and reliable findings.

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This will update the value of pizzaslist's first element's caloriesinslice to be the same as the value of pizzaslist's second element's caloriesinslice.

To assign pizzaslist's first element's caloriesinslice with the value in pizzaslist's second element's caloriesinslice, you will need to use the assignment operator (=) to set the value of the first element's caloriesinslice to the value of the second element's caloriesinslice. Here's how you can do it in HTML:

```html

 // Assign the value of pizzaslist's second element's caloriesinslice to pizzaslist's first element's caloriesinslice
 pizzaslist[0].caloriesinslice = pizzaslist[1].caloriesinslice;

```

This will update the value of pizzaslist's first element's caloriesinslice to be the same as the value of pizzaslist's second element's caloriesinslice.

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The median, because the data distribution is skewed to the right.

Given that

The box plot with the following parameters:  

Minimum value at 11,

First Quartile, Q1 at 22.5,

Median at 34.5,

Third Quartile, Q3 at 36,

Maximum value at 37.5.

According to the question

When a distribution has a longer tail to one of its sides, then it is said to be skewed.

Since the tail is longer to the left, it is said to be left-skewed.

The data distribution is skewed to the left because the median (34.5) is closer to the third quartile (36) than to the first quartile  (22.5).

For skewed data, we always prefer the median because it is less affected by the outliers and if the mean is chosen, the value of the mean is biased towards the side that has larger values while the median does not get affected by it. So, we choose the median.

For skewed distributions, the median is the best measure of center.

Hence, the median, because the data distribution is skewed to the right.

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Answer:

the answer is show me your kitty cat

Step-by-step explanation:

A simple random sample of 12 reaction times of helicopter pilots, assumed to have a normal distribution, was selected.

In this scenario, a simple random sample of 12 reaction times from a group of helicopter pilots was taken. It is assumed that the reaction times follow a normal distribution. A normal distribution is a symmetric bell-shaped curve characterized by its mean and standard deviation. The mean represents the average reaction time of the pilots, while the standard deviation measures the variability or spread of the reaction times around the mean.

By selecting a simple random sample, every pilot in the population has an equal chance of being included in the sample. This helps ensure that the sample is representative of the entire population of helicopter pilots. Assuming the reaction times follow a normal distribution, statistical techniques can be applied to analyze the data and make inferences about the population.

For instance, using the sample data, one can estimate the population mean and standard deviation, calculate confidence intervals to estimate the precision of the estimates, perform hypothesis tests to compare the reaction times between different groups, or assess the relationship between reaction time and other variables. These statistical analyses provide valuable insights into the performance and abilities of helicopter pilots in terms of their reaction times.

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Answer:

1. Two polygons can be formed using the set of points (0,1) and (2,3). One polygon is a line segment connecting these two points, and the other polygon is a right triangle with legs of length 1 and 2, and hypotenuse of length √5.

2. A triangle can be formed using the set of points (4,5), (6,7), and (8,9).

3. One polygon can be formed using the set of points (3,5) and the x-axis. This polygon is a right triangle with legs of length 3 and 5, and hypotenuse of length √34, where the point (3,5) is the vertex opposite the hypotenuse.

The number of polygons that can be formed are,

(0, 1) and (2, 3): Zero polygon

(4, 5), (6, 7), and (8, 9): One polygon (triangle)

(3, 5) and the x-axis: One polygon (triangle)

Determine the number of polygons :-

1) Points (0, 1) and (2, 3) -

The set of points (0, 1) and (2, 3) cannot form a polygon as they are collinear (i.e., lie on the same straight line) and do not enclose an area.

2) Points (4, 5), (6, 7), and (8, 9) -

These are three different points.

Because a triangle has three sides, one triangle can be formed by the set of points (4,5), (6,7), and (8,9). i.e. only one polygon.

3) Points (3, 5) and the x-axis -

One polygon can be formed by the set of points (3,5) and the x-axis: a triangle with vertices at (3,5), (0,0), and (6,0).

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Answer:

y = 3 + the square root of 2.

Step-by-step explanation:

message me if you have any other math questions

Answer:

Which graph best represents the change in population of the two cities?

Year Townville Village City

1960 37,500 17,500

1970 42,500 25,000

1980 35,000 20,000

1990 30,000 30,000

2000 15,000 32,500

Step-by-step explanation:

A. is right

Answer:

4

Step-by-step explanation:

The 8th term of the geometric sequence is 13122x^22

The explicit form of a geometric sequence is expressed according to the equation;

Tn = ar^n-1

where

r is the common ratio

a is the first term

n is the number of terms

Given the sequence below;

6x,18x^4,54x^7

r = 18x^4/6x

r = 3x^3

a = 6x

n = 8

Substitute to have:

T8 = 6x(3x^3)^8-1

T8 = 6x (3x^3)^7

T8 = 13122x^22

Hence the 8th term of the geometric sequence is 13122x^22

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Answer:

\(\displaystyle -1\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

h(x) = x² + 3x - 6

[-7, 3] → a = -7, b = 3

Step 2: Find Average

Since the length of the ladder is 40ft, the length of the zip line Z will be 222.47m.

Note that: one has to derive b using the law of sine.

\(\frac{b}{sin (15)} = \frac{40}{sin 90}\)

b  = [40  x  Sin (15)] / sin (90)

So:

Sin (15) = √3−1)/(2√2

= 0.2588190451

Then: Sin (90)  = 1

So,  b  = (0.2588190451 *40)/1

= 10.35/1

= 10.35

So one has to also derive for h

= \(\frac{b}{sin (15)} = \frac{h}{sin 75}\)

Note that b = 10.35

Hence : h = 10.35 * [(√3 + 1) / 2√2] / [(√3−1)/(2√2)]

h  = 10.35 * 3.73

h = 38.62

Using  simple trigonometric analysis, we can say that:

∠ GJH = 90°; and

∠ GHJ = 10°

Therefore, to obtain Z

Z/ Sin (90) = h/Sin (10)

(Then make Z the subject of the formula)

Thus Z = h * Sin (90)/ Sin (10)

Z = 38.62 * 1/ 0.1736

Z = 222.47m

Therefore, Since the length of the ladder is 40ft, the length of the zip line Z will be 222.47m.

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