aNoThEr qUeStiOn tO bRiNg mY gRaDeS Up // Ill mark brainliest :p

Answer:30

Step-by-step explanation:

In a triangle, the midsegment is half of base (AC)

so, AC would be double of DE, meaning 15×2=30

Based on the following  observations, we can write the equation of the rational function as: f(x) = (x + 1)/(x - 1)

A rational function is a type of mathematical function that is defined as the ratio of two polynomial functions.

In other words, it is a function that can be expressed as f(x) = p(x)/q(x), where p(x) and q(x) are polynomials and q(x) is not the zero polynomial.

To find the equation of the rational function represented by the given graph, we need to analyze the behavior of the graph and identify its key features. given below are the steps:

Look at the behavior of graph as x approaches infinity and negative infinity. The graph appears to have horizontal asymptotes at y = -1 and y = 1. This suggests that the function has a degree of 1 in both the numerator and denominator.

Identify any vertical asymptotes. The graph have vertical asymptote at x = 1. This suggests that the denominator of the function has a factor of (x - 1).

Look for any x-intercepts or y-intercepts.The graph's x-intercept and y-intercept are both at x = -1 and 1, respectively. This suggests that the numerator of the function has a factor of (x + 1) and that the function has a constant term of 1 in the numerator.

This function has a degree of 1 in both the numerator and denominator, a vertical asymptote at x = 1, and horizontal asymptotes at y = -1 and y = 1. It also has an x-intercept at x = -1 and a y-intercept at y = 1, which match the features of the graph given.

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Answer:

x is 60°

y is 30°

(would really, reallly appreciate the brainliest)

Step-by-step explanation:

x can be seen as what's needed to do a full 180 ° turn when you already turned 120°

y is 60° bc the sum of all tree angles of a triangle is always 180°

90° are given with the little square, 60 by the similar reasoning as above

Answer:

Step-by-step explanation:

L an M are parallel & P is transversal.

So, 120, x are co-interior angles, ie 180

x +120 = 180

x = 180 - 120

x = 60

The angle  vertically opposite to x, will have the same value of x.

Vertically opposite angles are equal

In triangle, sum of angles = 180

60 + 90 + y = 180

150 + y =180

y =180 -  150

y =30

Answer:

7x+42

Step-by-step explanation:

If the mpc increases in value, the consumption function will become steeper.

What is MPC ?

MPC is an advanced method of process control that is used to control a process while satisfying a set of constraints. In economics, the marginal propensity to consume is a metric that quantifies induced consumption, the concept that the increase in personal consumer spending occurs with an increase in disposable income. The proportion of disposable income which individuals spend on consumption is known as propensity to consume. MPC is the proportion of additional income that an individual consumes.

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Answer:

it is 47.25 I think :] I'm not the best at that kind of stuff but I think that's the answer

The work done by the force on the particle is approximately 12.96 N.m.

To find the work done by the force on the particle, we can use the formula:

Work (W) = Force (F) ⋅ Displacement (δr) ⋅ cos(θ)

where F is the force vector, δr is the displacement vector, and θ is the angle between the force and displacement vectors.

Given:

Force vector, F = 4 î - 3 ĵ N

Displacement vector, δr = 4 î + ĵ m

First, let's calculate the dot product of the force and displacement vectors:

F ⋅ δr = (4 î - 3 ĵ) ⋅ (4 î + ĵ)

= 4 * 4 + (-3) * 1

= 16 - 3

= 13

Next, we need to find the angle between the force and displacement vectors. The angle θ can be determined using the dot product and the magnitudes of the vectors:

θ = cos^(-1)((F ⋅ δr) / (|F| * |δr|))

|F| = √(4² + (-3)²)

= √(16 + 9)

= √25 = 5

|δr| = √(4² + 1²)

= √(16 + 1)

= √17

θ = cos^(-1)(13 / (5 * √17))

Now we can calculate the work done:

W = F ⋅ δr ⋅ cos(θ)

= 13 * cos(θ)

Substituting the value of θ:

W = 13 * cos(cos^(-1)(13 / (5 * √17)))

Simplifying:

W ≈ 13 * 0.997

W ≈ 12.96 N.m (rounded to two decimal places)

Therefore, the work done by the force on the particle is approximately 12.96 N.m.

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On average, the number of miles the athlete ran per day is; 18/5 or 3.6 miles per day

We are given;

Number of days the athletes ran = 3¹/₂ days = 7/2 days

Total distance ran in the given time = 12³/₅ miles = 63/5 miles

Now, the average distance will simply be given by the expression;

Average Distance = Total Distance/Number of days of running

Now, let us convert the fractions to improper fraction for easy division. Thus, we have;

Number of days the athletes ran = 7/2 days

Total distance ran in the given time = 63/5 miles

Thus;

Average Distance = (63/5)/(7/2)

Average distance = 63/5 * 2/7 = 18/5 = 3.6 miles per day

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Answer:

A, C, D and K

Step-by-step explanation:

Inequalities:

y ≤ −2x + 10  and  y >1/2x-2

Finding zeros for the first inequality:

Space to the left of this line (as y≤ ) is the solution for this inequality, any points on this line are inclusive.

Finding zeros for the second inequality:

Space above this line (as y > sign) is the solution for this inequality, any points on this line are not inclusive.

Now we have the space of intersection of the above inequalities.

So the points in same section are the solution.

They are:

See attached for explanation

The family will use 3,600 fewer gallons of water with the new showerheads in a 30-day period.

A family of five recently replaced its 5-gallon-per-minute showerheads with water-saving 2-gallon-per-minute showerheads. Each member of the family averages 8 minutes in the shower per day. In a 30-day period, the family will use 3,600 fewer gallons of water with the new showerheads. How many fewer gallons of water will the family use with the new showerheads?

Calculate the number of gallons used per person per shower before:

5 gal/min x 8 min = 40 gallons per person per shower.

The number of gallons used per person per shower after:

2 gal/min x 8 min = 16 gallons per person per shower.

The number of gallons used per person per day before:

40 gallons x 1 shower = 40 gallons per person per day.

The number of gallons used per person per day after:

16 gallons x 1 shower = 16 gallons per person per day

The number of gallons used per family per day before:

40 gallons x 5 people = 200 gallons per day

The number of gallons used per family per day after:

16 gallons x 5 people = 80 gallons per day

The number of gallons used per month before:

40 gallons x 5 people x 30 days = 6,000 gallons per month

The number of gallons used per month after:

16 gallons x 5 people x 30 days = 2,400 gallons per month

The family will use 6,000 - 2,400 = 3,600 fewer gallons of water with the new showerheads in a 30-day period. Therefore, the answer is 3,600.

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Step-by-step explanation:

We need to tell that which is greatest the sum of -7/10 and 3/7 or the sum of -1/8 and 15/25 and by how much.

Taking, \(\dfrac{-7}{10}+\dfrac{3}{7}=\dfrac{-19}{70}\)

Taking, \(\dfrac{-1}{8}+\dfrac{15}{25}=\dfrac{19}{40}\)

So, the sum of \(\dfrac{-1}{8}+\dfrac{15}{25}\)  is greater than the sum of \(\dfrac{-7}{10}+\dfrac{3}{7}\).

To find how much :

Taking \(\dfrac{19}{40}-\left(-\dfrac{19}{70}\right) = \dfrac{209}{280}\)

Hence, this is the required solution.

Answer:

6.75 grams

Step-by-step explanation:

Total amount of lemonade with Samantha =  4 1/2 gallons

         = (4*2 + 1)/2 gallons = 9/2 gallons = 4.5 gallons

Amount of fat in 1 gallon of lemonade = 1.5 grams

To find amount of fat in 4.5 gallons lemonade

we multiply both side of equation with 4.5

Amount of fat in 1*4.5 gallon of lemonade = 1.5*4.5  grams = 6.75 grams

Thus,

there is  6.75 grams of fat in  all the lemonade Samantha has for the party

The Golden Rule Test suggests that the decision embodies the principles of empathy and fairness, treating others as one would want to be treated. The Publicity Test indicates that the decision has been well received and is aligned with public expectations.

- The Publicity Test is designed to assess whether the decision or action can withstand public scrutiny and be disclosed openly.

- I score this test an 8 because the decision or action in question has already been made public and received positive feedback from various stakeholders.

- The organization has been transparent in its communication, engaging with the public and addressing concerns promptly.

- The decision aligns with the organization's values and mission, which resonates positively with the public.

- The organization has effectively managed any potential negative publicity by proactively addressing criticisms and providing clear justifications for the decision.

- Overall, the Publicity Test indicates that the decision has been well received and is aligned with public expectations.

The Moral Mentor Test Score: 6

- The Moral Mentor Test evaluates the decision or action by considering whether it reflects the guidance of a wise and ethical mentor.

- I score this test a 6 because while the decision is generally ethical, there are some potential ethical dilemmas that need to be carefully addressed.

- The decision has considered the welfare of various stakeholders and adheres to legal and regulatory frameworks.

- However, there might be some moral complexities associated with certain aspects of the decision that need further evaluation.

- It is important for the organization to seek guidance from ethical experts and consider potential long-term consequences to ensure the decision aligns with the principles of a moral mentor.

- Overall, the Moral Mentor Test suggests that the decision is on the right track but requires careful ethical analysis and considerations.

The Admired Observer Test Score: 9

- The Admired Observer Test assesses whether the decision or action would be approved by an admired and objective observer.

- I score this test a 9 because the decision demonstrates a high level of integrity and is likely to be approved by an objective observer.

- The decision is aligned with industry best practices and follows ethical guidelines.

- It takes into account the interests of various stakeholders and aims to maximize positive outcomes for all parties involved.

- The decision is well-reasoned, considering both short-term and long-term implications.

- Overall, the Admired Observer Test indicates that the decision is commendable and likely to be seen as fair and ethical by an objective observer.

The Transparency Test Score: 7

- The Transparency Test evaluates whether the decision-making process is transparent and accountable.

- I score this test a 7 because while the decision-making process has been relatively transparent, there is room for improvement.

- The organization has provided some level of information and rationale behind the decision, but there may be areas where more transparency is required.

- It is essential for the organization to proactively communicate the decision, its underlying factors, and potential impacts to ensure stakeholders have a clear understanding.

- Increasing transparency can help build trust and mitigate any potential misunderstandings or mistrust.

- The Person in the Mirror Test assesses whether the decision or action aligns with the individual's values and principles.

- I score this test an 8 because the decision demonstrates alignment with the individual's values and principles.

- The decision-maker has considered the ethical implications and personal integrity while making the decision.

- The decision reflects a commitment to fairness, honesty, and accountability.

I score this test a 9 because the decision demonstrates a high level of empathy and fairness towards others.

- The decision considers the interests and well-being of various stakeholders, treating them with respect and dignity.

- It reflects a commitment to fairness, equality, and reciprocity in relationships.

- The organization has taken steps to ensure that the decision does not cause harm or disproportionately benefit any specific group.

- Overall, the Golden Rule Test suggests that the decision embodies the principles of empathy and fairness, treating others as one would want to be treated.

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Answer:

x=45

Step-by-step explanation:

2(45)=90

90/2=90/2

Answer:

AB, BC, AC

Step-by-step explanation:

Hi there,

In order to solve this problem, we should know that the longest side of the triangle is always opposite of the largest angle in a triangle. The first step is to find the angle measures. We are given the measures of ∠A and ∠C.

To find m∠B, just subtract the sum of the other angles and subtract the value from 180.

m∠A + m∠C + m∠B = 180°

65° + 40° + m∠B = 180°

105° + m∠B = 180°

m∠B = 75°

Now that we know all of the angle measures, we can identify the the lengths of the sides from least to greatest by looking at the angle value. The greater the angle measure, the longer the opposite side would be.

m∠A = 65° ⇒ opposite of side BC = medium side

m∠B = 75° ⇒ opposite of side AC = longest side

m∠C = 40° ⇒ opposite of side AB = shortest side

Hope this explanation helps. Cheers.

Answer:

\({ \rm{ \frac{ {4}^{a + 2} + {4}^{a} }{17 \times {4}^{a} } }} \\ \\ = { \rm{ \frac{( {4}^{a} \times {4}^{2} ) + {4}^{a} }{17 \times {4}^{a} } }} \\ \\ = { \rm{ \frac{ {4}^{a} }{ {4}^{a} } ( \frac{ {4}^{2} + 1}{17}) }} \\ \\ = { \rm{ \frac{ {4}^{2} + 1 }{17} }} \\ \\ = { \rm{ \frac{16 + 1}{17} }} \\ \\ { \rm{ = \frac{17}{17} }} \\ \\ = 1\)

hence proved

It is expected that 300 participants out of the 900 who participate in the survey would receive a coupon for sleigh rides.

To determine the number of participants expected to receive a coupon for sleigh rides, we need to divide the total number of participants (900) by the number of coupon options (3) since each option has an equal chance of being received.

The expected number of participants receiving a coupon for sleigh rides can be calculated as follows:

Total participants / Number of coupon options = Expected number of participants receiving a sleigh ride coupon

900 participants / 3 coupon options = 300 participants.

Therefore, it is expected that 300 participants out of the 900 who participate in the survey would receive a coupon for sleigh rides.

It's important to note that this calculation assumes an equal chance of receiving each type of coupon and does not consider any specific preferences or biases that participants may have.

The calculation is based on the assumption of a random distribution of coupons among the participants.

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Yes, the given function f(x) = -10x is a polynomial function. The degree of a polynomial function is the highest exponent of the variable. In this case, the highest exponent of x is 1, so the degree of f(x) is 1.

The leading coefficient of a polynomial function is the coefficient of the term with the highest exponent. In this case, the coefficient of the x term is -10, so the leading coefficient of f(x) is -10.

Based on the degree, we can classify the type of function. A polynomial function with degree 1 is called a linear function. Therefore, f(x) = -10x is a linear function.

To summarize, the given function f(x) = -10x is a polynomial function with a degree of 1. The leading coefficient is -10, and it is classified as a linear function.

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(a) the cylindrical coordinates of the point (−2, 2, 2) are (2√2, -π/4, 2). (b) the cylindrical coordinates of the point (-9,9sqrt(3),6) are (9, π/3, 6). (c) Without a specific point given, we cannot provide cylindrical coordinates.

(a) To change from rectangular to cylindrical coordinates, we need to find the values of r, θ, and z. We know that r is the distance from the origin to the point in the xy-plane, which can be found using the Pythagorean theorem as r = √(x² + y²). In this case, r = √(4 + 4) = 2√2. We can find θ using the arctangent function, which gives θ = arctan(y/x) = arctan(-2/2) = -π/4 (since the point is in the third quadrant). Finally, z is simply the z-coordinate of the point, which is 2. Therefore, the cylindrical coordinates of the point (−2, 2, 2) are (2√2, -π/4, 2).
(b) To change from rectangular to cylindrical coordinates, we again need to find r, θ, and z. We have r = √(x² + y²) and θ = arctan(y/x), so we just need to find z. In this case, z = 6. To find r and θ, we can use the fact that the point lies on the plane y = √3x. Substituting this equation into the expression for r, we get r = √(x² + 3x²) = x√4 = 2x. Solving for x, we get x = r/2. Substituting this into the equation for y, we get y = √3(r/2) = r√3/2. So θ = arctan(y/x) = arctan(√3/2) = π/3. Therefore, the cylindrical coordinates of the point (-9,9√(3),6) are (9, π/3, 6).

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Answer:

Well, 1000>(15x+t)+(50x+100t) if there are children aboard.

B. The maximum amount is 19 if one adult is going with 18 children (not including the meal plan). And the total would be $1000

C. If only adults are going then a total of 8 adults can go if they are planning to use the raffle ticket for the meal plan too. If not then the total is 10.

I hope this is right.

The system of inequalities to model this scenario will be -

x + y ≤ 8

75y + 63x ≤ 200

The common region in the first quadrant gives the possible pair of peoples who can go to the trip.

Given is that the Rao family won a raffle of $1,000 to spend at Dixie Amusement Park. They want to use it for a group tour and for meals. A tour can have at most 8 people in the group, and if there are children on the tour there must be at least one adult. The tour cost $250 plus $100 for each adult and $50 for each child. The meal plan for the park is $15 per person.

Assume that there are [x] children in the group and [y] adults. So, we can write -

x + y ≤ 8    ... Eq[1]

(250 + 100)y + (250 + 50)x + 15(x + y) ≤ 1000

350y + 300x + 15x + 15y ≤ 1000

375y + 315x ≤ 1000

5(75y + 63x) ≤ 1000

75y + 63x ≤ 200      ... Eq[2]

Refer tot the graph attached. The common region in the first quadrant gives the possible pair of peoples who can go to the trip.

Therefore, the system of inequalities to model this scenario will be -

x + y ≤ 8

75y + 63x ≤ 200

The common region in the first quadrant gives the possible pair of peoples who can go to the trip.

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Answer:

Step-by-step explanation:

Answer:60 is the answer hope that helps

Step-by-step explanation:

\(\bigstar{\boxed{\pmb{Area\:of\:a\:Rectangle:\:A=LW}}\)

\(\sf{A=8*5}\)

\(\sf{A=40~ft^2}\)

\(\rule{200}{2}\)

\(\sf{A=4*8}\)

\(\sf{A=32~ft^2}\)

Now, add the areas:-

\(\sf{A=40+32+32~(since~there~are~2~walls~with~this~area)}\)

\(\sf{A=72+32}\)

\(\sf{A=104}\)

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

Answer:

-18

Step-by-step explanation:

Let x be our number. First we have to write our equation.

The product of a number and -8 is represented as -8x (-8 multiplied by x). Remember that 'product' signifies multiplication.

The result is eight times the sum of x and 36. This is represented as 8(x + 36). We add x and 36 first because 8 has been multiplied by the sum of those two numbers.

So our equation is:

-8x = 8(x + 36)

We can now solve for x. First, expand the bracket.

-8x = 8x + 288

Next, subtract 8x from both sides. This will give us only one term containing x, which will make it easier to solve.

-8x - 8x = 8x + 288 - 8x

-16x = 288

Divide both sides by -16

x = -18

a) The rate of change of the drug's concentration at 50 minutes is 1.7 mg/min.

b) The rate of change of the drug's concentration at 85 minutes is 0.2 mg/min.

c) The drug's concentration is decreasing at 115 minutes.

a) The central difference approach can be used to calculate the rate of medication change after 50 minutes.

f'(x) = (f(x+h) - f(x-h))/2 × h    ....(1)

As per the question, we have h = 10 and x = 50

Substitute the values of h = 10 and x = 50 in (1),

f'(40) = (f(50+10) - f(50-10))/2 × 10

f'(40) = (89-55)/20

f'(40) = 1.7 mg/min

b) For the rate of change of concentration at 85 minutes:

Here, f(80) = 111 mg and f(90) = 113.

The concentration at 90 minutes is 113 mg.

Rate of change = (f(90) - f(80)) / h

= (113 - 111) /10

= 2 / 10

= 0.2 mg/min

c) Since the concentration at 120 minutes (68 mg) is lower than the concentration at 110 minutes (103 mg), the drug's concentration is decreasing.

Therefore, the drug's concentration is decreasing at 115 minutes.

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Answer:

Step-by-step explanation:

Domain is the input

Range is the output

Function is the equation that is set up by the given information

1)

Domain   2 to 8

Range   1 to 6

Yes, this is a function

2)

Domain  2 to 3

Range  7 to 13

No, this is not a function , b/c functions need a 1 to 1 correspondence

3)

Domain  0 to 4

Range   -1 to 5

No, this is not a function , b/c functions need a 1 to 1 correspondence

Answer:

(4,-2) would be in Quadrant 2

(-3,-3) would be in Quadrant 3

(-4,2) would be in Quadrant 4

(3,5) would be in Quadrant 1

Step-by-step explanation:

=====================================================

Explanation:

We can rewrite 5 as 5s^0, since s^0 = 1 where s is nonzero.

Think of 2s as 2s^1

With those ideas in mind, the original polynomial turns into 5s^0 + 2s^1

Sorting the terms so that the largest exponent is first gets us the standard form 2s^1 + 5s^0

The largest exponent is the degree, so the degree is 1.

Side note: This trick only works for single variable polynomials.

Answer:

The solution is: (-1,4)

Step-by-step explanation:

I used an online graph but you can replicate it onto paper

Purple is Y=-x+3

Black is Y=x+5

Answer:$154

Step-by-step explanation:

Given

the radius of the circular board is \(r=3.5\ m\)

The cost of paint  is \(\$4\ \text{per}\ m^2\)

Area of circle\(=\pi r^2\)

Area of board

\(\Rightarrow A=\pi r^2\\\\\Rightarrow A=\dfrac{22}{7}\times 3.5^2=38.48\ m^2\)

Cost of painting

\(\Rightarrow C=38.48\times 4=153.95\approx \$154\)