y= 2x + 1 and - 4x + y = 9, solve the system of equations without graphing

Answers

Answer 1

After solving the given equations we know that the value of x and y are -4 and -7 respectively.

What are equations?

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.

Ax+By=C is the usual form for two-variable linear equations.

A standard form linear equation is, for instance, 2x+3y=5. When an equation is given in this format, finding both intercepts is rather simple (x and y).

This form is also highly useful when solving systems involving two linear equations.

So, we have the equations:

y=2x+1 ...(1)

-4x+y=9 ...(2)

Now, substitute y=2x+1 in equation (2):

-4x+y=9

-4x+2x+1=9

-2x=8

x=-4

Now, insert x=-4 in equation (1):

y=2x+1

y=2(-4)+1

y=-8+1

y=-7

Therefore, after solving the given equations we know that the value of x and y are -4 and -7 respectively.

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Related Questions

The neck of a gifaffe is 4 1/2 feet in length. Its neck is 30 perocent of it height whats the higet of the giffae

Answers

The giraffe is 15 feet tall based on the relation between the length of neck of giraffe and it's height.

Firstly convert the mixed fraction to fraction.

Length of neck of giraffe = (4×2)+1/2

Length of neck = 9/2 feet

Now, let us assume the height of giraffe be x. So, equation will be -

30% × x = 9/2

Rewriting the equation

30/100 × x = 9/2

Cancelling zero

3x/10 = 9/2

Again rewriting the equation

x = 90/6

Performing division on Right Hand Side of the equation

x = 15 feet

Thus, height of giraffe is 15 feet.

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which of the following is an incorrect statement? if a density curve is skewed to the right, the mean will be larger than the median. in a symmetric density curve, the mean is equal to the median. the mean of a skewed distribution is pulled toward the long tail. the median is the balance point in a density curve.

Answers

In a skewed distribution, the long tail pulls the mean toward it. In a density curve, the median is where everything level out.

what is mean ?

The median, a statistician's measure of central tendency, divides a dataset into two equally sized half. When the data is organized from smallest to largest, it is the midway value (or largest to smallest). The median is the average of the two middle values when there are an even number of values. Since it is unaffected by extreme values, the median is frequently employed as a measure of central tendency when a dataset contains outliers or is skewed.

given

None of the claims are untrue.

The mean will be greater than the median if a density curve is tilted to the right.

The mean and median are equal in a density curve that is symmetric.

In a skewed distribution, the long tail pulls the mean toward it. In a density curve, the median is where everything level out.

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How much was one movie ticket in 2008

Answers

Answer: 7 dollars 18 cents.

Step-by-step explanation:

1. An Estate dealer sells houses and makes a commission of GHc3750 for the first house sold. He
receives GHc500 increase in commission for each additional house sold. How many houses must
she sell to reach a total commission of GHc6500?

Answers

If an Estate dealer sells houses and makes a commission of GHc3750 for the first house sold and receives GHc500 increase in commission for each additional house sold, for reaching a total commission of GHc6500, she must have sold 6.5 houses.

How is the number of houses sold determined?

The number of houses the estate dealer sold to reach a total commission of GHc6500 can be determined using the mathematical operations of subtraction, division, and addition.

The total commission received = GHc6,500

The commission for the first house = GHc3,750

The commission for the remaining houses sold = GHc2,750 (GHc6,500 - GHc3,750)

The commission for additional sale of each house = GHc500

The number of additional houses sold = 5.5 (GHc2,750/GHc500)

The total number of houses sold = 6.5 (5.5 + 1 or the first house)

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A small publishing company is releasing a new book. The production costs will include a one-time fixed cost for editing and an additional cost for each book
printed. The total production cost C (in dollars) is given by the function C = 750+ 16.95N, where N is the number of books.
The total revenue earned (in dollars) from selling the books is given by the function R = 33.70N.
Let P be the profit made (in dollars). Wnite an equation relating P to N. Simplify your answer as much as possible.
P =

Answers

Answer:

The profit made is given by the difference between the total revenue and the total production cost:

P = R - C

Substituting the given expressions for R and C, we get:

P = 33.70N - (750 + 16.95N)

Simplifying:

P = 16.75N - 750

Therefore, the equation relating P to N is P = 16.75N - 750

part c question consider two groups of randomly selected peppers, where neither group has all big or all small peppers. a mean difference of zero indicates the peppers are well distributed between the two groups.a. true b. false

Answers

False. A mean difference of zero does not necessarily indicate that the peppers are well distributed between the two groups.

What is number?

Number is a mathematical object used to count, measure, and label. It is one of the most fundamental concepts in mathematics and is used to describe a wide variety of physical, logical, and abstract objects. Numbers are used to represent quantities, lengths, temperatures, money, and many other measurements. They are also used to represent abstract ideas, such as the number of days in a year or the number of colors in a rainbow.

Although the mean may be equal between the two groups, the distribution of the peppers could be skewed and not evenly distributed. For example, one group could have all large peppers and the other all small peppers and the mean would be equal. This would not be considered well distributed. To ensure the peppers are evenly distributed, one should check the standard deviation or range of the data to see if the peppers are spread across both groups.

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Answer:  A mean difference of zero indicates the peppers

are not well distributed between the two groups.

Why: Part B Answers

What do large differences of the means of each group indicate? Select the correct answer.

The peppers with different weights aren’t properly distributed between the two groups.

So they arent distributed well

14. The perimeter of the table shown is 18 feet. Write an equation
in the form px + q = r to solve for x.
6

Answers

The answer 3 i think

Answer:

its 3

Step-by-step explanation:

aaaaaaaaaaaaaaaaaaaaaaaaaa

Complete the recursive formula of the arithmetic sequence -16, -33, -50, -67,. −16,−33,−50,−67,. Minus, 16, comma, minus, 33, comma, minus, 50, comma, minus, 67, comma, point, point, point. C(1)=c(1)=c, left parenthesis, 1, right parenthesis, equals
c(n)=c(n-1)+c(n)=c(n−1)+c, left parenthesis, n, right parenthesis, equals, c, left parenthesis, n, minus, 1, right parenthesis, plus

Answers

The following is the recursive formula for the arithmetic sequence in this issue:

c(1) = -16.

c(n) = c(n - 1) - 17.

An arithmetic sequence is a series of numbers where each term is obtained by adding a fixed constant, known as the common difference, to the previous term. For example, in the sequence 2, 5, 8, 11, 14, 17, each term is obtained by adding 3 to the previous term.

The formula for finding the nth term of an arithmetic sequence is: a(n) = a(1) + (n-1)d, where a(1) is the first term, d is the common difference, and n is the term number. For example, to find the 10th term of the sequence 2, 5, 8, 11, 14, 17, we would use the formula a(10) = 2 + (10-1)3 = 29. Arithmetic sequences have many practical applications, such as in finance, where they can be used to calculate the interest earned on an investment over time.

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7) A long piece of wire of length 90 cm is bent to form an equilateral triangle. What will be the length of each side of the triangle?​

Answers

Answer:

30cm

Step-by-step explanation:

Perimeter of an equilateral triangle = 3L

Mathematically we have;

P = 3L

Where P = perimeter of the triangle

L = Length

Therefore;

90 = 3L

Divide both side by 3

L = 30cm

Therefore, the length of each side of the triangle is 30cm.

CAN SOMEBODY HELP ME FACTOR AS THE PRODUCT OF TWO BINOMIALS
x²- x- 42

Answers

Answer:

(x-7)(x+6)

factor and see what works

Question A normal distribution is observed from the number of points per game for a certain basketball player. The mean for this distribution is 20 points and the standard deviation is 3 points. Use the empirical rule for normal distributions to estimate the probability that in a randomly selected game the player scored less than 26 points. • Provide the final answer as a percent rounded to one decimal place. Provide your answer below: % SUBMIT FEEDBACK MORE INSTRUCTION

Answers

Given a normal distribution is observed from the number of points per game for a certain basketball player. The mean for this distribution is 20 points and the standard deviation is 3 points.Using the empirical rule for normal distributions, the probability that in a randomly selected game the player scored less than 26 points is required .Empirical Rule: For a normal distribution with a mean µ and a standard deviation σ, the probability of an observation being within k standard deviations of the mean is approximately:•

68% of the observations fall within one standard deviation of the mean.• 95% of the observations fall within two standard deviations of the mean.• 99.7% of the observations fall within three standard deviations of the mean.Here, the mean is 20 points and the standard deviation is 3 points. We need to find the probability of getting less than 26 points.z-score = (x - µ) / σ = (26 - 20) / 3 = 2σ = 2According to the empirical rule, 95% of observations fall within 2 standard deviations of the mean.So, the probability that the player scored less than 26 points is 95%.Therefore, the final answer is 95% rounded to one decimal place. Answer: 95%.

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Write each polynomial in Standard form and name it based on its degree an number of terms.
9x²-213
Standard --
Degree
Terms

Answers

We would name this polynomial as a quadratic polynomial with two terms.

In standard mathematics, what is a polynomial function?

A polynomial function is one that involves only non-negative integer powers or positive integer exponents of a variable in an equation such as the quadratic equation, cubic equation, and so on.

In the standard form of a polynomial, the terms are written in descending order of degree. The standard form for a polynomial of degree n is:

a1x + a0 + anxn + an-1xn-1 +...

We have the polynomial in this case:

9x² - 213

To write it in standard form, rearrange the terms in descending order of degree as follows:

213 + 9x²

As a result, the standard form of the polynomial is:

9x² - 213

This polynomial has degree 2 (because x's highest exponent is 2) and two terms (since there are two distinct parts to the expression, a constant and a term with an x squared coefficient).

As a result, we'd call this polynomial a quadratic polynomial with two terms.

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Let sin(2x) = cos(x), where 0° ≤ x < 180°. what are the possible values for x? a. 30° only b. 90° only c. 30° or 150° d. 30°, 90°, or 150°

Answers

If sin(2x) = cos(x), where 0° ≤ x < 180°, then,  The possible angle values of x are 90°, 30° and 150°.

The sine and the cosine are trigonometric functions of the angles. The sine and cosine of an acute angle are defined in the context of a right triangle: for a given angle, its sine is the ratio of the length of the side opposite the angle to the length of the longest side of the angle. triangle (the hypotenuse ), and the cosine is the adjacent side The ratio of the length to the hypotenuse.

According to the Question:

Given that,

sin(2x) = cos(x) where 0° ≤ x < 180°

We know that:

sin(2x) = 2 sin(x) cos(x)

⇒ 2 sin(x) cos(x) = cos(x)

Subtract cos(x) on both sides

2 sin(x) cos(x) - cos(x) = 0

cos(x) (2sinx-1)=0

It means, cos(x) = 0 and (2sin x -1 ) = 0

cos x = cos0           and        sinx(x) = 1/2

x = 90°                     and        x = 30°, 150°

Hence, the possible values of x are 90°, 30° and 150°.

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what is the sum of all integer values of $x$ such that $\frac{31}{90} < \frac{x}{100} < \frac{41}{110}$ is true?

Answers

First, we can simplify the inequalities by cross-multiplying:
\begin{align*}
\frac{31}{90} < \frac{x}{100} &\iff 3100 < 90x < 31\cdot 100 \
\frac{x}{100} < \frac{41}{110} &\iff 100x < 41\cdot 110
\end{align*}

Solving the first inequality, we have $3100/90 < x < 31\cdot 100/90$, or $31/9 < x < 310/9$. Multiplying both sides by $9$ gives $31 < 9x < 310$, so $x$ can be any integer between $32$ and $34$ inclusive.

Solving the second inequality, we have $x < 41\cdot 110/100$, or $x < 45.1$. Since $x$ is an integer, the largest possible value of $x$ that satisfies this inequality is $45-1=44$.

Therefore, the possible values of $x$ are $32, 33, 34,$ and $44$, and their sum is $32+33+34+44=\boxed{143}$.

Use the following circle to solve for x

Answers

We know that the product of lengths of the same chord is equal to the product of the other chord intersecting it.. So;

[tex] \purple{ \mathfrak{x \times 6 = 12 \times 5}}[/tex]

[tex] \large \purple{ \mathfrak{x = \frac{12 \times 5}{6}}}[/tex]

[tex] \large \purple{ \mathfrak{x = \frac{ \cancel{12} \times 5}{ \cancel6}}}[/tex]

[tex] \large \purple{ \mathfrak{x = 2 \times 5}}[/tex]

[tex] \large \boxed{ \red{ \mathfrak{x =10}}}[/tex]

The volume of a cylinder is 15, 919.8 cm³. If the height is 30 cm, what is the
radius? Use

Answers

The radius of the cylinder is r = 13 cm

What is the radius of a cylinder?

The radius of a cylinder is the radius of the circular base of the cylinder.

Since the volume of a cylinder is 15, 919.8 cm³. If the height is 30 cm, we require it radius.

Using the formula for volume of a cylinder V = πr²h where

r = radius of cylinder and h = height of cylinder

Making r subject of the formula, we have that

r = √V/πh

Since

V = 15,919.8 cm³h = 30 cm and π = 3.142

Substituting the values of the variables into the equation for the radius, we have that

r = √V/πh

r = √(15,919.8 cm³/[3.142 × 30 cm])

r = √(15,919.8 cm³/94.26 cm)

r = √168.8924 cm²

r = 12.995 cm

r ≅ 13 cm

So, the radius r = 13 cm

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A coffee maker is on sale for 45$. If the sales tax is 7%, how much will the buyer spend altogether?

Answers

Answer: 38 I think if it's not right I'm sorry I'm bad at math that's like the only thing I suck at

Step-by-step explanation:

Find the amount of the following ordinary annuities rounded to the nearest cent. Find the tot
Amount of Deposited
Interest
Rate Time (Years) Amount of an
Annuity
Earned
each deposit
$1050
annually
5%
14

Answers

Answer:I=(PxRxT)/100

I=(10000x20x1)/100x2

I=200000/200

I=1000I=(

Step-by-step explanation:

is the bottled water you are drinking really purified water? a study of various brands of bottled water conducted by the natural resources defense council found that 25% of bottled water is just tap water packaged in a bottle (scientific american, july 2003).

Answers

Yes, there is a chance that the bottled water you are drinking is just tap water packaged in a bottle. According to a study by the Natural Resources Defense Council, 25% of bottled water is just tap water that has been packaged in a bottle. [Scientific American, July 2003]

What is bottled water?

Bottled water is drinking water that has been packaged in bottles or containers for sale. Bottled water can come from a variety of sources, such as municipal supplies, springs, wells, and other sources. In some cases, bottled water is treated or purified to remove impurities and contaminants. However, not all bottled water is purified or treated, and some may be just tap water that has been packaged in a bottle.

What is purified water?

Purified water is water that has been treated to remove impurities and contaminants. Purified water can come from any source, including municipal supplies, wells, and other sources. Purification methods may include filtration, reverse osmosis, distillation, or other methods. Purified water is commonly used in medical and industrial applications, as well as in homes for drinking and cooking.

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At the book store, you purchased some $3 clearance mystery books and $8 regular-priced science fiction books. How many of each did you buy if you spent a total of $77?

Answers

Answer:

we bought 12 $3 clearance mystery books and 5 $8 regular-priced science fiction books.

Step-by-step explanation:

assume that 1 laborer produces 6 units of output, 2 laborers produce 15 units of output, 3 laborers produce 25 units of output, and 4 laborers produce 34 units of output. diminishing returns to labor set in when the firm hires the

Answers

The marginal product of labor initially increases from 6 to 9, but then starts to decrease as more labor is added. Therefore, the firm experiences diminishing returns to labor when it hires a third laborer.

Diminishing returns to labor occur when the marginal product of labor (i.e., the additional output produced by adding one more unit of labor) decreases as more labor is added. We can calculate the marginal product of labor for each level of labor as follows:

1 laborer: 6 units of output (marginal product = 6)

2 laborers: 9 units of additional output (total output = 15, marginal product = 9)

3 laborers: 10 units of additional output (total output = 25, marginal product = 10)

4 laborers: 9 units of additional output (total output = 34, marginal product = 9)

The law of diminishing marginal returns is a concept from economics that explains how the marginal output of a production process starts to decrease as the input goes up. It is also used to refer to a point at which output increases at a diminishing rate as more units of labor are added to a production process. This can also be called the point of decreasing marginal productivity.

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what is the messure or the vertex angle of an isosceles triangle if one of its base angle measures 16 degrees

Answers

In an isosceles triangle, the base angles are congruent (have the same measure) and the vertex angle is opposite the base. Since one of the base angles measures 16 degrees, the other base angle also measures 16 degrees. Therefore, the sum of the base angles is 16 + 16 = 32 degrees.

Since the sum of the angles in any triangle is 180 degrees, we can find the measure of the vertex angle by subtracting the sum of the base angles from 180 degrees.

So, the measure of the vertex angle of the isosceles triangle is:

180 - 32 = 148 degrees.

Kate plans to save 5% of her income. She just earned 80.Howmuchmoneyshouldsheputintosavings?

Answers

$4

Multiply 80 by 0.05 to get the answer of $4

Answer:

4 (insert the currency needed)

Step-by-step explanation:

To find our answer we have to find 5% of Kate's wages and to do this we have to do 5 divided by 100. Then that answer is multiplied by 80!

5 ÷ 100 = 0.0580 × 0.05 = 4

This means she has to put £4 into her savings!

Hope this helps, have a lovely day! :)

What is the ordered pair for y=3x-3

Answers

Answer:

Step-by-step explanation:

Choose three values for

x and substitute in to find the corresponding y values.(0,−3),(1,0),(2,3)

You can choose any of these three pairs or the equation y=3x-3

25 out of 68 students have vanilla ice cream and the rest have chocolate. What is the ratio of the number of students who have vanilla to the total number of students?

Answers

Answer: The total number of students is the sum of the number of students who have vanilla and those who have chocolate:

Total = 25 + (68 - 25) = 43

The ratio of the number of students who have vanilla to the total number of students is:

Vanilla : Total = 25 : 43

This ratio cannot be simplified any further because 25 and 43 do not have any common factors other than 1. Therefore, the ratio of the number of students who have vanilla to the total number of students is:

25 : 43

Step-by-step explanation:

for f(x)=3x, find f(4) and f(-3)​

Answers

For f(4)=3x the answer is 12 and for f(-3)=3x the answer is -9

if cell phone companies screen text messages, then freedom of speech is threatened. thus, freedom of speech is not threatened, because cell phone companies do not screen text messages. which of the following correctly expresses the form of this argument? a. if c then f. b. not f. c. all c are f. d. if c then f. e. if c then f. not

Answers

The correct option that expresses the form of the given argument is "d. if c then f."Explanation:In the given argument, it is stated that if cell phone companies screen text messages, then freedom of speech is threatened.

But as cell phone companies do not screen text messages, so freedom of speech is not threatened. This is a conditional argument, and it can be expressed in the form of a hypothetical syllogism.

The hypothetical syllogism is a syllogism that has a conditional statement in its premises. It is also called a chain argument or transitive argument. The form of the hypothetical syllogism is "If A, then B. If B, then C.

Therefore, if A, then C."In the given argument, it can be expressed in the form of the hypothetical syllogism as follows:If cell phone companies screen text messages, then freedom of speech is threatened. If freedom of speech is threatened, then cell phone companies screen text messages. Therefore, if cell phone companies do not screen text messages, then freedom of speech is not threatened.This can also be represented as "if C then F."Therefore, the correct option that expresses the form of the given argument is "d. if c then f."

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Suppose that 6 out of the 19 doctors in a small hospital are General Practitioners, 5 out of the 19 are under the age of 40 , and 2 are both General Practitioners and under the age of 40. What is the probability that you are randomly assigned a General Practitioner or a doctor under the age of 40

Answers

The probability of randomly selecting a doctor who is either a General Practitioner or under the age of 40 from a small hospital is 9/19, given 6 out of 19 are General Practitioners, 5 out of 19 are under 40, and 2 are both.

To find the probability of randomly selecting a doctor who is either a General Practitioner or under the age of 40, we need to add the probabilities of these two events and subtract the probability of selecting a doctor who is both a General Practitioner and under the age of 40, since we don't want to count that case twice:

P(General Practitioner or under 40) = P(General Practitioner) + P(Under 40) - P(General Practitioner and under 40)

we know 6 out of 19 doctors are General Practitioners, 5 out of 19 doctors are under the age of 40, 2 doctors are both General Practitioners and under the age of 40.

Therefore:

P(General Practitioner) = 6/19

P(Under 40) = 5/19

P(General Practitioner and under 40) = 2/19

Substituting these values into the formula:

P(General Practitioner or under 40) = 6/19 + 5/19 - 2/19

= 9/19

Therefore, the probability of randomly selecting a doctor who is either a General Practitioner or under the age of 40 is 9/19.

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a relationship that is noted between two or more variables is termed

Answers

The relationship that is noted between two or more variables is termed a correlation. Correlation refers to the statistical association or relationship between two or more variables.

It indicates the degree to which the variables are related or how they are related to each other. Correlation can be positive, negative, or zero, depending on the direction and strength of the relationship between the variables.

A positive correlation indicates that as one variable increases, the other variable also increases. A negative correlation indicates that as one variable increases, the other variable decreases. Zero correlation indicates that there is no relationship between the variables.

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I need some help please

Answers

Given:-

[tex] \texttt{c = 1}[/tex]

[tex] \: [/tex]

[tex] \texttt{d = 3}[/tex]

[tex] \: [/tex]

Solution:-

[tex] \texttt{3(2c + d ) -4 ( c - d ) + d² }[/tex]

[tex] \: [/tex]

put the given values in tha equation

[tex] \texttt{= 3( 2 ( 1 ) + 3 ) -4 ( 1 - 3 ) + ( 3 )² }[/tex]

[tex] \: [/tex]

[tex] \texttt{= 3 ( 2 + 3 ) -4 ( -2 ) + 9}[/tex]

[tex] \: [/tex]

[tex] \texttt{= 3 ( 5 ) -4 ( -2 ) + 9}[/tex]

[tex] \: [/tex]

[tex] \texttt{= 15 + 8 + 9}[/tex]

[tex] \: [/tex]

[tex] \texttt{= 23 + 9}[/tex]

[tex] \: [/tex]

[tex] \boxed{ \texttt{ \purple{= 32}}}[/tex]

[tex] \: [/tex]

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

hope it helps ⸙

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Two cellphone companies are offering different rate plans. Rogers is offering $19.99 per month, which includes a maximum of 200 weekday minutes plus $0.35 for every minute above the maximum. TELUS is offering $39.99 for a maximum 300 weekday minutes, but it charges $0.10 for every minute above the maximum. Above how many minutes would TELUS be the better choice? given f(x) and g(x) find the value of (gof)(5) unified communications (uc) is an umbrella term for integrated, multi-media communications controlled by an individual user for both business and social purposes. uc integrates all of the following except? 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Grid dimensions are based on external environments and internal capabilities/market positions.c. Position in the matrix suggests a need for sharing synergies.d. They are most helpful in helping businesses develop types of competitive advantage. the struggle to fulfill the promise of america and create a more perfect union will not be easy. it will require hard work, dedication, and a willingness to confront the contradictions and challenges that exist. but it is a struggle that is worth fighting for. and it is a struggle that can only be won through liberalism, through a commitment to individual freedom, equality, and the rule of law Which of the following conditions will tend to make rocks change by ductile deformation rather than by brittle deformation?Choose one:A. granitic compositionB. slowly applied stressC. position fairly close to Earth's surfaceD. cool surroundings when did jesus conflict with the chief priests come to a head? why? Sujet dimaginationInventez la suite directe du chapitre 33 de Felicidad : dans un dialogue dune cinquantaine de lignes intgr dans un rcit, Dekcked raconte Majhina ce qui sest pass alors quelle tait inconsciente. Le dialogue entre les 2 personnages doit permettre de rcapituler les vnements auxquels Majhina na pas pu participer cause de son tat ; il permettra aussi Dekcked de partager ses interrogations sur lavenir de Felicidad avec la ruse de Choelcher ; Majhina fera part rgulirement de ses ressentis au fil de la discussion. PLEASE HELP ASAP! This composite figure is created by placing a sector of a circle on a triangle. What is the area of this composite figure? Use 3.14 for n. Round to the nearest hundredth. Show your work. Suppose two rings are at the top of a ramp. The rings have the same mass, but one ring has a much larger radius than the other. Which ring will win the race to the bottom, and why? (Hint: Consider the potential energy, translational kinetic energy, and rotational kinetic energy of each ring.) HELPGiven the information in the diagram of circle P below, find: how many electrons are there in a 30.0 cm length of 12-gauge copper wire (diameter 2.05 mm )? express your answer using two significant figures. What is the result of a network technician issuing the command ip dhcp excluded-address 10.0.15.1 10.0.15.15 on a Cisco router?A. The Cisco router will exclude 15 IP addresses from being leased to DHCP clients.B. The Cisco router will allow only the specified IP addresses to be leased to clients.C. The Cisco router will exclude only the 10.0.15.1 and 10.0.15.15 IP addresses from being leased to DHCP clients.D. The Cisco router will automatically create a DHCP pool using a /28 mask. What are enzymes and what are they made of? Suppose a municipality votes to reduce the combined pollution introduced by three local companies. Presently, each firm creates 4 units of poisution in the ares, for a total of 12 pollution units. The government can reduce total pollution in the area to 6 units by choosing between the following two methods: The costs faced by each firm are different, so it is more difflicult for some firms to reduce pellution than others. The following table shows the cost faced by each firm to eliminate each unit of pollution. Assume that the cost of eliminating all 4 units of pollution (that ie, reducing polliution to zero) if protibitively expensive for all three firms. Next, suppose that two govemment offciais proposed alternative plans that would reduce pollution by 6 untes. The first government employee suggests reducing pollution through regulation. To meet the pollution goal, the government requires each firm to reduce its pollution by 2 units. Complete the following table with the total cost to each firm of reducing its pollution by 2 units. Method 2: Tradable Permits Meenwhilic, the other employee proposes using a different strategy to achieve the government's goal of reducing poilutian in the area from 12 units to 6 units. This employee suggests that the government issue two pollution permits to each firm. For each permit a firm has in its possession, it can emit 1 unit of pollution. Firms are free to trade pollution permits with one another (that is, buy and sell them) as long as both firms can agree on a brice, For example, if firm A sgrees to sell a permit to firm B at an agreed-upon price, then fitm B would end up with three permits and would need to reduce its pollution by only 1 unit while firm A would end up with only one permit and would have to reduce its pollution by 3 units. Assume the negotiation and exchange of permits are costless. Because firm 8 has high pollution-reduction costs, it thinks it might be better off buying a permit from firm C and a permit from firmAso that it doesn't have to reduce its own pollution emissions. At which of the following prices are both firm C and firm A willing to sell one of theic permits to firm B? Check all that apply. Because firmBhas high pollution-reduction costs, it thinks a might be better off buying a permit from firmCand a permit from firmAso that it: doesn't have to reduce its own pollution emissions. At which of the following prices are both firm C and firm A willing to sell ane of their permits to firm B? Check all that apply.$124$165$200$3645475 Suppose the the government has set the trading price of a permit at \$147 per permit. costs each firm to reduce pollution to the necessary level. If a firm is willing to buy fwa permits, assuree that it bovs one permit from each of the other forms. (Mint: Do not include the prices paid for permits in the cost of reducing potition.) Determine the total cost of eliminating six units of polfution using both methods, and enter the amounts in the following table. (Hint: You might need to get information from previous tasks to complete this table.) In this case, you can conclude that eliminoting pollution is costly to society when the government distributes tradable permits than when if regulates each firm to eliminate a certain amount of pollution. a developmental psychologists is interested in the effects of social environment on children's language development during infancy and toddlerhood. what is one known variable that he knows will most likely affect child's language development? cala used 4 2/3 cups of watermelon and 2 1/6 cups of cherries to make a fruit bowl how many cups of watermelon and cherries were used in all