Write an equation of the line that passes through the points (−3,−4) and (0,2).

Answer:

m < 1200

Step-by-step explanation:

0.10m + 130 < 250

-130                -130

0.10m < 120

/0.10      /0.10

m < 1200

Answer:

Step-by-step explanation:

I have no idea

The concept of hedonistic calculus is associated with utilitarianism and the philosophy of maximizing pleasure and minimizing pain. It is a method for calculating the overall happiness or utility of actions based on the intensity, duration, certainty, propinquity, fecundity, purity, and extent of pleasure or pain they produce.

Hedonistic calculus is a term coined by the philosopher Jeremy Bentham, who was a proponent of utilitarianism. Utilitarianism is an ethical theory that states that the right action is the one that maximizes overall happiness or utility for the greatest number of people. The goal of hedonistic calculus is to measure and compare the happiness or pleasure derived from different actions or situations.

According to Bentham, pleasure and pain are the only relevant factors in determining the moral value of an action. Hedonistic calculus involves quantifying these pleasures and pains in order to assess their overall impact. Bentham proposed seven criteria to evaluate the intensity, duration, certainty, propinquity (nearness in time), fecundity (likelihood of leading to more pleasure or pain), purity (absence of pain mixed with pleasure), and extent of the pleasure or pain produced by an action.

By assigning values to each of these criteria, hedonistic calculus aims to determine the net amount of happiness or utility generated by a particular action or decision. The idea is to maximize pleasure and minimize pain, with the ultimate goal of promoting the greatest happiness for the greatest number of individuals.

Overall, hedonistic calculus provides a systematic approach to assess and compare the consequences of actions based on their impact on pleasure and pain. It serves as a framework for utilitarians to make ethical judgments and decisions by considering the net balance of happiness produced by different choices.

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Answer:

 1 1/2 cups of jam per jar

Step-by-step explanation:

Divide 7 1/2 by 5 to get 1 1/2 cups of jam per jar.

The inverse of the statement is "If a number does not have exactly two distinct factors, then the number is not prime." Thus Option 2 is the answer.

   When a conditional statement is reversed, the hypothesis and conclusion are both negated. The hypothesis in the original statement is "a number with exactly two distinct factors," while the conclusion is "is prime."

  To make the inverse, we negate both sections. "A number does not have exactly two distinct factors" is the antonym of "A number that has exactly two distinct factors." "Is not prime" is the opposite of "is prime."

    As a result, the inverse statement is "If a number does not have exactly two distinct factors, then the number is not prime."

     It's crucial to remember that a statement's inverse could or might not be accurate. In this instance, the inverse is true since the definition of a prime number is incompatible with the fact that a number has more than two components if it has more than exactly two different factors.

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The number 459 in the citation 319 N.W. 2d 459 represents the page number where the case or legal opinion can be found in the North Western Reporter, Second Series. The North Western Reporter is a series of case reporters that includes court decisions from various states in the northwestern region of the United States.

In legal citations, the number before the "N.W." indicates the volume number of the reporter. So in this case, "319" refers to the specific volume where the case is located. The abbreviation "N.W." stands for North Western Reporter, which is the name of the reporter series. The number "2d" after "N.W." indicates that this is the second series of the North Western Reporter.

To locate the case within the volume, the number "459" refers to the page number where the case begins. This allows readers, such as lawyers, judges, or researchers, to easily find and reference the specific case within the reporter.

In summary, the number "459" in the citation 319 N.W. 2d 459 represents the page number where the case can be found in the North Western Reporter, Second Series.

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According to the Second-Derivative Test for Local Extrema, f(x,y) has a critical point if f x(a,b) = 0 and f y(a,b) = 0, and all second-order partial derivatives of f(x,y) exist in some circular region containing (a,b) as center.

The Second-Derivative Test is as follows:

Case 1: If AC - B2 > 0 and A < 0, then f(x,y) has a local maximum at (a,b).

Case 2: If AC - B2 > 0 and A > 0, then f(x,y) has a local minimum at (a,b).

Case 3: If AC - B2 < 0, then f(x,y) has a saddle point at (a,b).

Case 4: The test fails if AC - B2 = 0. The steps to apply the Second-Derivative Test for Local Extrema are as follows:

Find the critical point of f(x,y). Calculate A, B, and C using second-order partial derivatives of f(x,y). Evaluate AC - B2 and A.

Using the above cases, determine whether f(x,y) has a local maximum, minimum, or a saddle point.

Thus, we need to apply the Second-Derivative Test for Local Extrema to find the local extrema of the function f(x,y). The Second-Derivative Test can be used to determine whether a function has a local minimum, a local maximum, or a saddle point, which can help solve optimization problems in various fields.

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The missing number in 6 17 37 10 10 25 12 32 ? is 37.

Based on the provided sequence, the missing number can be determined by observing the pattern within the given numbers. Let's analyze the sequence:

6 17 37 10 10 25 12 32 ?

By examining the sequence, we can identify the following pattern:

The first number, 6, increases by 11 to become 17.

The second number, 17, increases by 20 to become 37.

The third number, 37, increases by 27 to become 64.

At this point, we can see that the pattern alternates between adding the square of an increasing increment and subtracting that same increment from the previous number. So, to continue the pattern:

The fourth number, 10, decreases by 6 to become 4.

The fifth number, 10, decreases by 1 to become 9.

The sixth number, 25, increases by 3 to become 28.

The seventh number, 12, decreases by 4 to become 8.

The eighth number, 32, increases by 5 to become 37.

Therefore, the missing number in the sequence is 37.

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To evaluate the definite integral from (1) to (8) of \([x x^2]/[x^4] dx\), we can begin by simplifying the integrand.

First, we can cancel out one of the x terms in the numerator and denominator, leaving us with:

\([x^2]/[x^4]\)

Next, we can simplify this expression by writing \(x^2\ as\ (x^4)^{(1/2)}:\):

\([(x^4)^(1/2)]/[x^4]\)

Now, we can combine the x^4 terms in the denominator by subtracting their exponents:

\([x^{(-2)}]\)

Finally, we can integrate this expression with respect to x:

\(\int(1 to 8) [x^{(-2)}] dx = [-x^{(-1)}](1 to 8)\)

Plugging in our limits of integration, we get:

[-(1/8) - (-1)] = 7/8

Therefore, the definite integral from (1) to (8) of \([x x^2]/[x^4]\) dx is equal to 7/8.
To evaluate the definite integral of (x * x^2) / x^4 from 1 to 8, first simplify the integrand:

\((x * x^2) / x^4 = x^3 / x^4 = 1 / x.\)

Now, evaluate the definite integral:

∫(1 / x) dx from 1 to 8.

To integrate 1 / x, recall that the integral of 1 / x is ln|x| + C, where C is the constant of integration. So, we have:

ln|x| evaluated from 1 to 8.

Now, apply the limits of integration:

(ln(8) - ln(1)).

Since ln(1) = 0, the answer is:

ln(8).

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Answer:

b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Got it right on Edge 2020

A canned fish manufacturing company believes its tuna contains 15% pure tuna. A sample of 150 cans showed a mean proportion of 0.15 and a standard deviation of 0.032. The probability that the sample proportion will be less than 0.10 is 5.96%. A value of p=0.25 would be considered unusual as it deviates significantly from the expected proportion.

a) The sample proportion can be calculated as the total number of cans with pure tuna divided by the total number of cans in the sample:

Sample proportion = Number of cans with pure tuna / Total number of cans in the sample

Since each can has only two possible outcomes (pure tuna or not pure tuna), we can model the number of cans with pure tuna as a binomial distribution with parameters n=150 and p=0.15. Therefore, the mean of the sample proportion is:

Mean of the sample proportion = np/n = p = 0.15

b) The standard deviation of the sample proportion can be calculated as:

Standard deviation of the sample proportion = sqrt(p*(1-p)/n) = sqrt(0.15*0.85/150) ≈ 0.032

c) To find the probability that the sample proportion will be less than 0.10, we need to calculate the z-score corresponding to this value and then find the area under the standard normal distribution curve to the left of this z-score:

z-score = (0.10 - 0.15) / 0.032 ≈ -1.56

Using a standard normal distribution table or calculator, we can find that the probability of getting a z-score less than -1.56 is approximately 0.0596 or 5.96%.

Therefore, the probability that the sample proportion will be less than 0.10 is 5.96%.

d) A value of p=0.25 would be considered unusual because it is significantly different from the expected proportion of 0.15 assuming that the company's claim is true. We can use a hypothesis test to determine whether this difference is statistically significant.

The null hypothesis is that the true proportion of pure tuna in the cans is 0.15, while the alternative hypothesis is that it is greater than 0.15.

Using a significance level of 0.05, we can calculate the z-score corresponding to a sample proportion of 0.25:

z-score = (0.25 - 0.15) / 0.032 ≈ 3.125

The area under the standard normal distribution curve to the right of this z-score is approximately 0.0009 or 0.09%. Since this probability is less than the significance level, we reject the null hypothesis and conclude that a value of p=0.25 would be considered unusual.

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Answer:

0.36$

Step-by-step explanation:

Given :

$13.47 for 37 ounces

Unit rate can be calculated as :

\(\frac{13.47}{37} \\=0.364$\)$

1. ∠B is the primage of ∠B'. They are similar triangles.

2. AC ≈AC'

CB ≈ CB'

AB ≈ AB'

When discussing angles, the preimage refers to the original angle before any transformation has occurred.

In geometry, a transformation refers to the process of moving or changing the position, shape, or size of an object. For example, if an angle is rotated or reflected, the resulting image of the angle would be the transformed angle.

The preimage is the angle before the transformation occurred. It is used to determine the relationship between the original angle and the transformed angle, such as whether they are congruent, similar, or related by another geometric property.

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Answer:

y = 3x - 1

General Formulas and Concepts:

Pre-Algebra

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define equation

y - 3x = -1

Step 2: Find Slope-Intercept Form

And we have our final answer!

Answer:

m<HFG = 31

Step-by-step explanation:

We can say that m<EFH + m<HFG = m<EFG because of angle addition postulate. Now, we can substitute the values of the angles in.

21 + x + 31 = 2x + 52

x + 52 = 2x + 52

x = 0

Now, we substitute x into the expression of m<HFG:

m<HFG = x + 31

m<HFG = 0 + 31

m<HFG = 31

Answer:

5

Step-by-step explanation:

The equation for traveling x miles in the cab can be written as:

Cost = $0.60 + $0.14 * x. The cab charges $0.88 for a ride of 2 miles. And the cab charges $1.72 for a trip of 8 miles.

a. The equation for traveling x miles in the cab can be written as:

Cost = $0.60 + $0.14 * x

b. To find the number of miles for a cab ride that costs $0.88, we can set up the equation:

$0.88 = $0.60 + $0.14 * x

Subtracting $0.60 from both sides, we get:

$0.88 - $0.60 = $0.14 * x

$0.28 = $0.14 * x

Dividing both sides by $0.14, we find:

x = $0.28 / $0.14

x = 2 miles

Therefore, the cab charges $0.88 for a ride of 2 miles.

c. To calculate the cost of a trip of 8 miles, we can substitute x = 8 into the equation:

Cost = $0.60 + $0.14 * 8

Cost = $0.60 + $1.12

Cost = $1.72

Therefore, the cab charges $1.72 for a trip of 8 miles.

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Answer:

Yes, death opened the eyes of Ponyboy from the book 'The Outsiders' by S.E Hinton. The death of Johnny makes Ponyboy realize that death can happen to anyone at any time, and that he needs to live life while he can. When Johnny talks to Ponyboy at the hospital about how disappointed he was that he didn't have enough time to see everything he wanted to see, Ponyboy realizes he needs to live life to the fullest. Likewise, when Dally is shot by the police officers, Ponyboy realizes how precious and fragile life is. He feels sad about how Dally died, and how tragic it was. This is how death opened the eyes of Ponyboy in the book, The Outsiders by S.E. Hinton.

Answer:

13 + 2n

Step-by-step explanation:

Answer:

h = 6.1 cm

Step-by-step explanation:

         Cube:

              edge = a = 8 cm

              \(\sf \boxed{\text{Volume of cube = a^3}}\)\(\sf \boxed{\text{Volume of cube = $a^3$}}\)

        Rectangular prism:

                 l = 14 cm ; w = 6 cm

                   \(\sf \boxed{\text{Volume of rectangular prism=lwh}}\)

Volume of rectangular prism = volume of cube

                 14 * 6 * h   = 8 * 8 *8

                             \(\sf h =\dfrac{8 * 8 * 8}{14 * 6}\\\\ h = \dfrac{128}{21}\)

                             h = 6.1 cm

No, Yes, No, No

-6 = (w/9) - 1

add 1 both side

-5 = w/9

multiply 9 by both sides

w = -45

Answer:

I'm pretty sure -45 is the only answer out of all of those.

The interval estimate for the true population proportion is 45.25% to 64.75% and we can conclude that the majority of the community supports water rationing

The given parameters are:

The error margin is calculated using:

\(E = z * \sqrt{\frac{p* (1 - p)}{n}}\)

Where z is the critical value.

At 95% confidence level, the critical value is:

z = 1.96

So, we have:

\(E = 1.96 * \sqrt{\frac{0.55 * (1 - 0.55)}{100}}\)

Evaluate

\(E = 1.96 * \sqrt{0.002475}\)

Evaluate

E = 0.0975

Hence, the error margin is 0.0975

This is calculated using:

I = p ± E

So, we have:

I = 0.55 ± 0.0975

Expand

I = (0.55 - 0.0975, 0.55 + 0.0975)

Evaluate

I = (0.4525, 0.6475)

Express as percentage

I = (45.25%, 64.75%)

Hence, the interval estimate for the true population proportion is 45.25% to 64.75%

From the simulation,

The values are approximately the interval estimates.

i.e.

45.25% ≈ 45% and 64.75% ≈ 65%

Hence, we can conclude that the majority of the community supports water rationing

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Answer:

x = 8

Step-by-step explanation:

This question is pretty simple. You already know the value of x, we substitute what x equals and find the number 2 cubed.

2^3 = ?

2x2x2 = 8

The ratio of the volumes of two similar solids with a ratio of 2:7 between the lengths of their edges is 8:343.

When two solids are similar, it means that they have the same shape but may have different sizes. The ratio between the lengths of their edges is given as 2:7. To find the ratio of their volumes, you need to follow these steps:

STEP 1. Understand the relationship between edge lengths and volumes: The volume of a solid is proportional to the cube of the length of its edges.

In mathematical terms, if the ratio of the edge lengths is a:b, then the ratio of their volumes is a^3:b^3.

STEP 2. Calculate the volume ratio: In this case, the ratio of the edge lengths is 2:7. So, to find the ratio of their volumes, you need to cube each term in the ratio:
  (2^3) : (7^3) = 8 : 343

Thus, the ratio of the volumes of the two similar solids is 8:343. This means that if one solid has a volume of 8 units, the other will have a volume of 343 units, maintaining their similarity in shape.

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Answer:

372

Step-by-step explanation:

Since we know the total weight which is 714 and we know the weight of one garden which is 342, all we need to do now is subtract:

714 - 342 = 372

Lisa also cleans windows on the weekend. The correct answer is c = 10w + 5

So, she charges $10 a window plus a $5 flat supply fee, we are going to add 10 and 5 to find are answer and we are going to use c:

→ w = 10

→ 10w

$5 in the other hand, is independent.

→ + 5

→ c = 10w + 5

Therefore, Lisa also cleans windows on the weekend. The correct answer is c = 10w + 5

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Answer:

You didnt write the options

Answer:

u=16

Step-by-step explanation:

64=4u

divide both sides by 4

16=u

The chance that Player 1 wins is 11/21, or approximately 0.524 or 52.4%.

To calculate the probability that Player 1 wins, we can consider the possible outcomes of the game.

Player 1 can win in two ways:

Player 1 draws a red marble on their first turn.

Player 1 and Player 2 both draw green marbles on their first turns, and then Player 1 draws a red marble on their second turn.

Let's calculate the probability of each scenario:

Probability of Player 1 drawing a red marble on the first turn:

Player 1 has 2 red marbles out of a total of 7 marbles (2 red + 5 green) initially in the jar. So the probability is 2/7.

Probability of both players drawing green marbles on their first turns, and Player 1 drawing a red marble on their second turn:

After Player 1's first turn, there are 6 marbles left in the jar (2 red + 4 green). The probability of Player 1 drawing a red marble on their second turn is 2/6.

To calculate the overall probability of Player 1 winning, we add the probabilities of the two scenarios:

P(Player 1 wins) = P(Player 1 draws a red marble on the first turn) + P(both draw green, and Player 1 draws red on second turn)

= 2/7 + (5/7) * (2/6)

= 2/7 + 10/42

= 2/7 + 5/21

= (6 + 5)/21

= 11/21

Therefore, the chance that Player 1 wins is 11/21, or approximately 0.524 or 52.4%.

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Answer:

Student=20%

Teacher=80%

Step-by-step explanation:

60/75 x100

= 80

100-80

=20