Please help. Thank you

What is a slope in math?

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Whenever the equation of a line is written in the form y = mx + b, it is called the slope-intercept form of the equation. The m is the slope of the line. And b is the b in the point that is the y-intercept (0, b). For example, for the equation y = 3x – 7, the slope is 3, and the y-intercept is (0, −7).

To find the correct answer, we need to look at the formula for a straight line: y=mx+b where m= the slope of the line and b= the y intercept. We know from the problem that the slope must be equal to -4, leaving us with y= -4x +b. From here you can substitute the given point in the equation and solve for b.

-3= -4(4) +b

-3= -16+b

+16  +16

13= b

This tells us that b=13, now we simply substitute that into the formula.

The solution to your question is y=-4x+13

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Answer:

g=88/3

Step-by-step explanation:

Your expected winnings from buying one raffle ticket are approximately $0.38.

To find your expected winnings, we need to calculate the probability of winning each prize and multiply it by the corresponding prize amount. Since you are only buying one ticket, we can calculate the expected winnings as follows:

Expected winnings = (Probability of winning $10) * $10 + (Probability of winning $20) * $20 + (Probability of winning $100) * $100 + (Probability of winning $500) * $500

The probability of winning each prize depends on the total number of tickets sold and the number of tickets available for each prize.

Given that there are 2000 raffle tickets sold and the distribution of prizes, we can calculate the probabilities as follows:

Probability of winning $10 = (Number of $10 prizes) / (Total number of tickets sold) = 2 / 2000 = 0.001

Probability of winning $20 = (Number of $20 prizes) / (Total number of tickets sold) = 2 / 2000 = 0.001

Probability of winning $100 = (Number of $100 prizes) / (Total number of tickets sold) = 2 / 2000 = 0.001

Probability of winning $500 = (Number of $500 prizes) / (Total number of tickets sold) = 1 / 2000 = 0.0005

Now, we can calculate the expected winnings:

Expected winnings = (0.001) * $10 + (0.001) * $20 + (0.001) * $100 + (0.0005) * $500

Expected winnings = $0.01 + $0.02 + $0.1 + $0.25

Expected winnings = $0.38

Therefore, your expected winnings from buying one raffle ticket are approximately $0.38.

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The investment problem is modeled by an initial value problem (IVP) where the rate of change of the investment is determined by the initial investment, monthly deposits, and the interest rate.

a) The investment problem can be modeled by an initial value problem where the rate of change of the investment, y(t), is given by the initial investment, monthly deposits, and the interest rate. The IVP can be written as:

dy/dt = 0.09y + 200, y(0) = 500.

b) To solve the IVP, we can use an integrating factor to rewrite the equation in the form dy/dt + P(t)y = Q(t), where P(t) = 0.09 and Q(t) = 200. Solving this linear first-order differential equation, we obtain the solution for y(t).

c) To find the value of the investment after 2 years, we substitute t = 2 into the obtained solution for y(t) and calculate the corresponding value.

d) After 2 years, the monthly deposit increases to $300. To find the value of the investment a year later, we substitute t = 3 into the solution and calculate the value accordingly.

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Solving the given equation y = x(ab/a - b) for a, we have: a = by/(y - bx).

To solve an equation for a given variable is to make the variable the subject of the formula. To do this, isolate the variable to one side of the equation using appropriate properties of equality.

Given the equation,

y = x(ab/a - b)

Multiply both sides by 1/x

y/x = ab/(a - b)

Multiply both sides by (a - b)

y/x × (a - b) = ab/(a - b) × (a - b)

y(a - b)/x = ab

(ay - by)/x = ab

ay - by = abx

ay - by + by = abx + by

ay = abx + by

ay - abx = abx + by - abx

ay - abx = by

a(y - bx) = by

Divide both sides by (y - bx):

a(y - bx)/(y - bx) = by/(y - bx)   [division property of equality]

a = by/(y - bx)

Thus, solving the given equation y = x(ab/a - b) for a, we have: a = by/(y - bx).

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Answer: No

Step-by-step explanation:

No, because it does not add the same value every time

Answer:

No

Step-by-step explanation:

The left side does add up the same each time (+1) but the right side does not as it adds +2 +2 +4 +8 +16

Using the Law of Sines, we can solve the given triangle with the information ∠A = 101°, a = 31, and b = 10. We need to find the measures of ∠B, ∠C, and c. By applying the Law of Sines, we can determine the values of these angles and the side length c. If no solution exists, we will denote it as DNE (Does Not Exist).

Applying the Law of Sines, we set up the following proportion: sin ∠B / b = sin ∠A / a. Plugging in the known values, we have sin ∠B / 10 = sin 101° / 31. By cross-multiplying and solving for sin ∠B, we can find the measure of ∠B. Similarly, we can find ∠C using the equation sin ∠C / c = sin 101° / 31. Solving for sin ∠C and taking its inverse sine will give us ∠C. To find c, we can use the Law of Sines again, setting up the proportion sin ∠A / a = sin ∠C / c. Plugging in the known values, we have sin 101° / 31 = sin ∠C / c. By cross-multiplying and solving for c, we can find the side length c.

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There are 10240 bacteria after 3 hours.

Initial population = 20

Time period = 3 hours

Time period in minutes = 3 hours x 60 minutes = 180 minutes

Number of doublings = 180 minutes / 20 minutes = 9 doublings

Final population = 20 x 2^9

Final population = 20 x 512

Final population = 10240

Bacteria doubling is the process in which one bacterial cell divides into two identical daughter cells. This process is known as binary fission and is the primary way bacteria reproduce. During this process, a single bacterium first replicates its single chromosome, which is then partitioned into two identical parts. The single cell then divides into two daughter cells, each containing one of the replicated chromosomes. This process is incredibly fast and can occur in as little as twenty minutes.

Bacterial doubling is an important process, as it allows bacteria to rapidly increase in number and spread. In optimal conditions, a single bacterial cell can divide into two daughter cells every twenty minutes, and this can continue for many generations. For this reason, bacteria can quickly become abundant in a given environment and pose a potential threat to human health. Fortunately, antibiotics are often able to help control bacterial doubling and limit the spread of certain bacteria.

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Answer:

an addition problem

Step-by-step explanation:

William will arrive home at 16:45, it will take 45 min to reach home.

Given, that William leaves work at 16:00

Distance from work to home is 36 kilometres

Also, he drives at an average speed of 48 km/hr

Now, using distance-speed relation to find the time

So, as we know Distance = Speed × Time

On putting the values of distance and speed, we get

36 km = 48 km/hr × Time

On dividing both the sides by 48, we get

36/48 = (48×Time)/48

36/48 = Time

Time = 0.75

Hence, he will take 0.75 hr to reach home.

0.75 hr ≈ 45 minutes

As, 1 hr = 60 minutes

0.75 hr = 0.75 × 60 = 45 minutes

So, William will arrive home at 16:45

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The function f can be implemented using a single 4-to-1 multiplexer and two inverters.

A 4-to-1 multiplexer is a digital logic component that selects one of four input signals based on the select lines. It has four data inputs (D0, D1, D2, D3), two select lines (S0, S1), and one output (Y). By properly connecting the inputs and select lines, we can realize the desired function f.

To implement the function f using a single 4-to-1 multiplexer and two inverters, we need to carefully assign the input signals and select lines to achieve the desired behavior. The truth table of the function f will guide us in determining the appropriate connections.

First, we can use the inverters to complement the required inputs if needed. Then, we can connect the complemented and uncomplemented inputs to the select lines of the multiplexer. The output of the multiplexer will be the result of the function f.

By carefully selecting the input assignments and connections, we can effectively implement the function f using a single 4-to-1 multiplexer and two inverters. This approach offers a compact and efficient solution for realizing the desired logic function.

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The measure of the included angle is approximately 68.4 degrees.

We have,

We can use the formula for the area of a triangle to find the length of the third side, and then use the Law of Cosines to find the measure of the included angle.

Let a and b be the given side lengths, and let C be the included angle.

The formula for the area of a triangle.

A = (1/2)ab sin(C)

We know that A = 29, a = 7.6, and b = 7.9.

Substituting these values and solving for sin(C).

sin(C) = (2A)/(ab) = (2 x 29)/(7.6 x 7.9) ≈ 0.931

Since the angle C is acute, we know that sin(C) is positive.

Using the inverse sine function, we can find the measure of the angle to the nearest tenth of a degree:

C ≈ sin^(-1)(0.931)

  ≈ 68.4 degrees

Therefore,

The measure of the included angle is approximately 68.4 degrees.

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So, the person's blood-alcohol level is estimated to be 40 mg/dL after 4 hours.

An exponential model for the person's blood-alcohol level can be represented by the function f(t) = A * e^(-kt) where A is the initial blood-alcohol level, k is the decay constant and t is the time in hours.

To find the decay constant k, we can use the known information that after 2 hours, 112.5 mg/dL remains. We can substitute the known values into the exponential function, and solve for k:

f(2) = A * e^(-2k) = 112.5

A = 200 mg/dL

200 mg/dL = 112.5 * e^(-2k)

k = ln(200/112.5)/(-2)

Using this value of k, we can now find the blood-alcohol level after 4 hours:

f(4) = A * e^(-kt) = 200 * e^(-k*4)

f(4) = 200 * e^(-1.6) = 200 * 0.20 = 40 mg/dL

Therefore, the person's blood-alcohol level is estimated to be 40 mg/dL after 4 hours.

It's worth noting that this model is based on the assumption that the blood-alcohol level decays exponentially, and many other factors like body weight, gender, metabolism, and the amount of alcohol consumed can affect the actual blood-alcohol level.

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Step-by-step explanation:

54+90+5×+6=360

so add like terms

54+90+6=150

150+5×=360

5×=360-150

5×=210

--- ----

5 5

×=42

Step-by-step explanation:

90+54+(5x+6)=180...(sum of angles of a triangle)

144+5x+6=180

Answer:

ab= 7.8

ac= 6

bc=5

Step-by-step explanation:

The length of each side of triangle ABC are,

⇒ AB = √61

⇒ BC = 5

⇒ CA = 6

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The vertices of the triangle ABC are,

⇒ A(- 2, 3), B(3, - 3) , and C(- 2, - 3)

Now, We know that;

The distance between two points (x₁ , y₁) and (x₂, y₂) is,

⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²

So, The distance between A and B is,

⇒ AB = √ (3 - (-2))² + (- 3 - 3)²

⇒ AB = √ 5² + (-6)²

⇒ AB = √ 25 + 36

⇒ AB = √ 61

And, The distance between B and C is,

⇒ BC = √ (-2 - 3)² + (- 3 - (-3))²

⇒ BC = √ 5² + (0)²

⇒ BC = √ 25

⇒ BC = 5

The distance between A and C is,

⇒ AC = √ (-2 - (-2))² + (- 3 - 3)²

⇒ AC = √ 0² + (-6)²

⇒ AC = √ 36

⇒ AC = 6

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Answer:

1000

Step-by-step explanation:

volume of prism formula=b*w*h(base times width times height)

10*10*10(10^3)=1000

Answer: 1,000 m

Step-by-step explanation:

To find volume you have to multiply: LengthxWidth,Height so you would do 10x10x10 and get 1,000 m

HOPE THIS HELPS ^^

Answer:

14.52 km/h

Step-by-step explanation:

(242m/min)km÷(1/60)m

(242/1000 x 60) km/h

14.52km/h

Answer:

14.52km/h

Step-by-step explanation:

1

242× 1000 km

1

1 × 60 hr

0.242km

1 hr

60

= 14.52 km/h

1) Note that the dark triangles are outliers.

2) Omitting the outlines changed the correlation between the variables because outliers can skew the data and make the relationship between the variables appear stronger or weaker than it actually is.

3) Outliers can greatly affect the data by distorting the overall relationship pattern between the variables.

An outlier in statistics is a data point that deviates considerably from other observations.

It is correct to state that an outlier can be caused by measurement variability, a hint of new data, or an experimental mistake; the latter is sometimes eliminated from the data set.

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Answer:

x = 3 cm

Step-by-step explanation:

This is a right-angled triangle where:

hyp = Hypotenuse = 5 cm

adj = Adjacent = 4 cm

opp = Opposite = \(x\) cm

To determine the Length of any of the three sides of a right-angled triangle mentioned above, applying the Pythagorean Theorem:

\(hyp^{2} = opp^{2} + adj^{2}\)

\(5^{2} = x^{2} + 4^{2}\)

\(25 = x^{2} + 16\)

\(x^{2} = 25 - 16\)

\(x^{2} = 9\)

\(\sqrt{x^{2}} = \sqrt{9}\)

\(x = 3\) cm

Answer:

A) 61º

Step-by-step explanation:

since the line is straight that means that it is a 180º angle.

 7 10

180

-119

061

We need to compare the cash flows of machines A and B using the concept of Capital Cost (CC) analysis and a minimum acceptable rate of return (MARR) of 10%.

For machine A, the CC is not provided in the question. To determine the CC for machine A, we need additional information such as the initial investment cost and the expected cash inflows and outflows over the machine's useful life. Similarly, for machine B, the CC is not provided in the question.

We need additional information about the initial investment cost and the expected cash inflows and outflows over the machine's useful life to calculate the CC for machine B. Without the CC values, we cannot determine which machine to select based on CC analysis. To make a decision, we need more information.

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Responder:

$ 555,911.5

Explicación paso a paso:

Dado

Principal = $ 545,680

Interés = 2,25%

Tiempo = 10 meses = 10/12 años

Debemos buscar la cantidad después de 10 meses.

Monto = Principal + Intereses

Interés = PRT / 100

Interés = 545,680 * 2,25 * 10/1200

Intereses = 12,277,800 / 1200

Interés = 10.231,5

Cantidad = 545,680 + 10,231.5

Cantidad = 555,911.5

por lo tanto, la cantidad después de 10 meses es $ 555,911.5

Answer:

See below

Step-by-step explanation:

The correct answer is "algorithm."

An algorithm is a step-by-step procedure or set of rules that specifies a sequence of logical and mathematical operations to solve a particular problem or perform a specific task. It provides a systematic approach to problem-solving, outlining the necessary actions and decisions required to achieve the desired outcome. Algorithms can be represented in various forms, such as pseudocode, flowcharts, or programming languages.

The use of algorithms is fundamental in computer science, mathematics, and other fields that require problem-solving and data manipulation. They serve as the foundation for creating efficient and effective solutions, enabling automation, optimization, and decision-making processes. Algorithms can be simple or complex, and their design and analysis play a crucial role in ensuring accuracy, efficiency, and reliability in various applications.

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The simplified form of the expression –9.2(8x – 4) + 0.7(2 – 6.3x) is:

–78.01x + 38.2.

To simplify the expression –9.2(8x – 4) + 0.7(2 – 6.3x), we start by applying the distributive property.

First, we distribute –9.2 to the terms inside the first parentheses:

–9.2(8x – 4) = –9.2 * 8x + –9.2 * (-4) = –73.6x + 36.8

Next, we distribute 0.7 to the terms inside the second parentheses:

0.7(2 – 6.3x) = 0.7 * 2 + 0.7 * (-6.3x) = 1.4 – 4.41x

Now, we combine the simplified terms:

–73.6x + 36.8 + 1.4 – 4.41x = –73.6x – 4.41x + 36.8 + 1.4

Finally, we combine like terms:

–73.6x – 4.41x + 36.8 + 1.4 = –78.01x + 38.2

Therefore, the simplified expression is –78.01x + 38.2.

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Answer:

Slope = 1/2

Y intercept = (0,4)

X                    Y

0                    4

2                    5

4                     6

6                     8

Step-by-step explanation:

Answer:

Step-by-step explanation:

6 + 2x = 5 - 4x

6 + 6x = 5

6x = -1

x = -1/6

Answer:

x = 33

Step-by-step explanation:

\(2 = log(3x + 1) \\ \\2 = log_{10}(3x + 1) \\ \\ {10}^{2} = 3x + 1 \\ \\ 100 = 3x + 1 \\ \\ 100 - 1 = 3x \\ \\ 99 = 3x \\ \\ x = \frac{99}{3} \\ \\ x = 33\)