A line has an x-intercept of 3 and a y-intercept of -6.

The slope-intercept form of its equation is
.

The value of k in the coordinates of point B is -4. The coordinates of the midpoint of AB are (2, -1).

To show that k = -4, we can substitute the coordinates of point A and B into the equation of the line AB. The equation of the line is given as 3x + 5y = 1.

Substituting the x-coordinate and y-coordinate of point A into the equation, we get: 3(-3) + 5(2) = 1. Simplifying this expression, we have -9 + 10 = 1, which is true.

Substituting the x-coordinate and y-coordinate of point B into the equation, we get: 3(7) + 5k = 1. Simplifying this expression, we have 21 + 5k = 1.

To solve for k, we can subtract 21 from both sides of the equation: 5k = 1 - 21, which gives us 5k = -20.

Dividing both sides of the equation by 5, we get k = -4. Therefore, k is equal to -4.

To find the coordinates of the midpoint of AB, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint (M) are the average of the coordinates of points A and B.

The x-coordinate of the midpoint is (x₁ + x₂)/2, where x₁ and x₂ are the x-coordinates of points A and B, respectively. Substituting the values, we have (-3 + 7)/2 = 4/2 = 2.

The y-coordinate of the midpoint is (y₁ + y₂)/2, where y₁ and y₂ are the y-coordinates of points A and B, respectively. Substituting the values, we have (2 + (-4))/2 = -2/2 = -1.

Therefore, the coordinates of the midpoint of AB are (2, -1).

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Answer:

a + (b + c) = (a + b) + c

Step-by-step explanation:

a= (-12), b = 4, c = (-25)

\((12) + (4 + ( - 25)) = ( - 12 + 4) + ( - 25) \\ - 33 = - 33\)

Answer:

GIVEN :-

TO VERIFY :-

SOLUTION :-

Find the values of L.H.S. & R.H.S.

L.H.S. :-

Put all values in → \(\boxed{a+(b+c)}\)

⇒ -12 + [4 + (-25)]

⇒ -12 + (4 - 25)

⇒ -12 + (-21)

⇒ -12 - 21

⇒ -33

R.H.S. :-

Put all values in → \(\boxed{(a+b)+c}\)

⇒ (-12 + 4) + (-25)

⇒ -8 - 25

⇒ -33

CONCLUSION :-

L.H.S. = R.H.S.

⇒ a + (b + c) = (a + b) + c

The probability is approximately 0.9544 or 95.44%.

To solve this problem, we need to calculate the z-scores for both values of interest and use a standard normal distribution table or calculator to find the probability.

The z-score for a score of 70 is:

z = (70 - 80) / 5 = -2

The z-score for a score of 90 is:

z = (90 - 80) / 5 = 2

Using a standard normal distribution table or calculator, we can find the probability that a randomly selected student scored between -2 and 2 on the standard normal distribution. This probability is approximately 0.9544.

However, we need to adjust this probability to account for the fact that the scores are not rounded. Since the distribution is continuous, we need to use the probability of the interval between 70 and 90, inclusive, which is:

P(70 ≤ X ≤ 90) = P(X ≤ 90) - P(X < 70)

where X is the random variable representing the exam score.

Using the z-scores we calculated earlier, we can find these probabilities as:

P(X ≤ 90) = P(Z ≤ 2) ≈ 0.9772

P(X < 70) = P(Z < -2) ≈ 0.0228

So, the probability of a randomly selected student scoring between 70 and 90 on the exam is:

P(70 ≤ X ≤ 90) = P(X ≤ 90) - P(X < 70) ≈ 0.9772 - 0.0228 = 0.9544

Therefore, the probability is approximately 0.9544 or 95.44%.

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The concept that a message gives different meanings to different objects is called option (b) polymorphism.

Polymorphism is a fundamental concept in object-oriented programming (OOP) that allows different objects to respond to the same message or method invocation in different ways. In other words, it allows objects of different classes to be treated as if they were of the same class, as long as they implement the same method or message.

This can make code more flexible, reusable, and easier to maintain. Polymorphism is achieved through inheritance, interfaces, or overloading methods. For example, a "draw" method could be implemented differently for different shapes, such as circles, rectangles, or triangles.

Therefore, the correct option is (b) polymorphism

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Answer:

0

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

(NegativeA) + (PositiveA) = 0

Note for future reference:

(NegativeA) + (PositiveB) = (NegativeC)

(PositiveA) + (NegativeB) = (NegativeC)

(NegativeA) + (NegativeB) = (NegativeC)

(PositiveA) + (PositiveB) = (PositiveC)

...................,

Answer:

No the answer is 35! :)

Step-by-step explanation:

Answer:

The Answer is Thirty five

Step-by-step explanation:

So you would multiply five by seven and get Thirty Five

Answer:

16, 8, 36

Step-by-step explanation:

To solve for x for the first answer, multiply 4 by y

\(y = \frac{x}{4} \\\\y (4) = x\\\\x = 4(4)\\ x= 16\)

To solve for x for the second answer, multiply 2 by y

\(y = \frac{x}{4} \\\\y (4) = x\\\\x = 2(4)\\ x= 8\)

To solve for x for the third answer, multiply 9 by y

\(y = \frac{x}{4} \\\\y (4) = x\\\\x = 9(4)\\ x= 36\)

The value of y in the given coordinate points is 5.

The value of y in the given coordinate points is calculated as follows;

Point (5,1) is equidistant from (1,y) and (10, -3).

The value of y is calculated as follows;

(x₁ + x₂)/2, (y₁ + y₂)/2 = (5, 1)

(y - 3)/2 = 1

y - 3 = 2

y = 5

The coordinates points are (1, 5) and (10, - 3)

Thus, the value of y in the given coordinate points is 5.

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Answer:

Slope of 2

Step-by-step explanation:

First thing is to look at the change in x and y from the points. You can do this by subtracting the x valie from the other value and the same for the y values. So you would do 2-0=2.

So we know the change in x between the points, so now we find the change in y. 5-1=4.

Now that we know the change in x and y, we use the expression below to solve for the slope.

\( \frac{rise}{run} \: or \: \frac{y}{x} \)

We can insert what we found and then solve for the equation

\( \frac{4}{2} \)

So we solve for that, which is 2. Now we know the slope is 2.

Answer:

given us,

(x1y1)= (2,5)

(x2y2)= (0,1)

here,

(y-y1)= (y2-y1)/ (x2-x1)× (x-x1)

or, (y-5)=(1-5)/(0-2)× (x-2)

or, y-5= -4/-2 ×(x-2)

or,y-5= 2(x-2)

or, y-5/ x-2= 2

or,y-5= 2x-4

or, 2x-y= -4+5

:. 2x-y= 1

Step-by-step explanation:

2x-y= 1

Answer:

the unknown values:

P and R = 32°

Q = 148°

According to the given information, Mack should make 4 necklaces and 8 wristbands to maximize his profit.

What are linear programming problems?

LPP stands for Linear Programming Problems. Linear programming is a mathematical optimization technique used to maximize or minimize a linear objective function subject to a set of linear constraints. An LPP involves identifying a set of decision variables, an objective function that depends linearly on these variables, and a set of constraints that specify linear relationships between the variables. The objective is to find the values of the decision variables that optimize the objective function while satisfying all the constraints.

To solve this problem, we need to use a system of linear inequalities to represent all the constraints. Let's start by defining the variables:

x = number of necklaces

y = number of wristbands

Now we can write the constraints:

Time constraint: Mack has 360 minutes to make the necklaces and wristbands.

40x + 25y ≤ 360

Production constraint: Mack wants to make no more than 12 items.

x + y ≤ 12

Non-negative constraint: Mack cannot make a negative number of necklaces or wristbands.

x ≥ 0, y ≥ 0

To maximize Mack's profit, we need to define the objective function as the total profit:

P = 3x + 2y

Now we can graph these constraints and find the feasible region:

40x + 25y ≤ 360

x + y ≤ 12

x ≥ 0, y ≥ 0

As shown in attachment 1.

The feasible region is the shaded polygon bounded by the lines: x=0, y=0, x + y ≤ 12, and 40x+25y=360.

To find the optimal solution, we need to evaluate the objective function at each corner point of the feasible region:

Corner point A: (0,0)

P = 3(0) + 2(0) = $0

Corner point B: (0,12)

P = 3(0) + 2(12) = $24

Corner point C: (4,8)

P = 3(4) + 2(8) = $28

Corner point D: (9,0)

P = 3(9) + 2(0) = $27

The maximum profit is $28, which occurs when Mack makes 4necklaces and 8 wristbands. Therefore, Mack should make 4 necklaces and 8 wristbands to maximize his profit.

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Answer:

linear

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. 1

Add 3

Minus 1

Equals -6

Then divide and u get 1

2. 2

Add 3 and 5

You get 4

Then divide by 2

And u get 2

Hope this helps

Answer:

Standard Deviation

Step-by-step explanation:

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

Answer:

If this is a question than the answer would be 18

Step-by-step explanation:

18-6=12

Answer:

x(x) or x*x

Step-by-step explanation:

To write this in the expanded form you just multiply the base(x) by itself

The computation shows that the placw on the hill where the cannonball land is 3.75m.

To find where on the hill the cannonball lands

So 0.15x = 2 + 0.12x - 0.002x²

Taking the LHS expression to the right and rearranging we have:

-0.002x² + 0.12x -.0.15x + 2 = 0.

So we have -0.002x²- 0.03x + 2 = 0  

I'll multiply through by -1 so we have

0.002x² + 0.03x -2 = 0.

This is a quadratic equation with two solutions x1 = 25 and x2 = -40 since x cannot be negative x = 25.

The second solution y = 0.15 * 25 = 3.75

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Complete question:

The flight of a cannonball toward a hill is described by the parabola y = 2 + 0.12x - 0.002x 2 . the hill slopes upward along a path given by y = 0.15x. where on the hill does the cannonball land?

The composite function N(T(t)) = 20082.The time when the bacteria count reaches 20082 is approximately 30.28 hours.

To find the composite function N(T(t)), we need to substitute the expression for T(t) into the function N(T).

Given:

N(T) = 307² - 112T + 75

T(t) = 3t + 1.7

Substituting T(t) into N(T), we get:

N(T(t)) = 307² - 112(3t + 1.7) + 75

Simplifying:

N(T(t)) = 307² - 336t - 190.4 + 75

N(T(t)) = 307² - 336t - 115.4

Now let's find the time when the bacteria count reaches 20082.

N(T(t)) = 20082

307² - 336t - 115.4 = 20082

Taking 115.4 to the other side:

\(307^2\) - 336t = 20082 + 115.4

307² - 336t = 20197.4

336t = 307² - 20197.4

Dividing by 336:

t = (307² - 20197.4) / 336

Calculating the value of t:

t ≈ 30.28

Therefore, the time when the bacteria count reaches 20082 is approximately 30.28 hours.

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The resulting equation after the transformation is y = 3cos(θ + 6.28) + 5

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

y = 3cos(θ + 3.14)

The transformation is given as

Using the above as a guide, we have the following

Image: y = 3cos(θ + 3.14 + 3.14) + 5

Evaluate

y = 3cos(θ + 6.28) + 5

Hence, the resulting equation after the transformation is y = 3cos(θ + 6.28) + 5

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Answer:

take the 40 gallons it's a lot more pepsi

Step-by-step explanation:

the equation of the line tangent to the function at (3, 6) is y = 11x - 21.

1. f(x) = x^2 + 5x - 6, at (3, 6)

Answer: y = 8x - 21

f'(x) = 2x + 5

f'(3) = 2(3) + 5 = 11

The equation of the line tangent to the function at (3, 6) is y = 11x - b.

Substitute 6 for y and 3 for x to get 6 = 11(3) - b

Solve for b to get b = 21

Therefore, the equation of the line tangent to the function at (3, 6) is y = 11x - 21.

The equation of the line tangent to the function at (3, 6) is y = 8x - 21. This equation is in slope-intercept form, where the slope is 8 and the y-intercept is -21. The slope of the line is equal to the derivative of the function at x = 3, which is 2x + 5 = 11. Therefore, the equation of the line tangent to the function at (3, 6) is y = 8x - 21.

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Answer:

The number is 3.

Step-by-step explanation:

5x - 4 = 11

5x = 15

x = 3

The difference quotient of the function f(x) = 4x² - 5x is 8x + 4h - 5.

The formula for difference quotient is expressed as:

\(\frac{f(x+h)-f(x)}{h}\)

Given the function in the question:

f(x) = 4x² - 5x

To solve for the difference quotient, we evaluate the function at x = x+h:

First;

f(x + h) = 4(x + h)² - 5(x + h)

Simplifying, we gt:

f(x + h) = 4x² + 8hx + 4h² - 5x - 5h

f(x + h) = 4h² + 8hx + 4x² - 5h - 5x

Next, plug in the components into the difference quotient formula:

\(\frac{f(x+h)-f(x)}{h}\\\\\frac{(4h^2 + 8hx + 4x^2 - 5h - 5x - (4x^2 - 5x)}{h}\\\\Simplify\\\\\frac{(4h^2 + 8hx + 4x^2 - 5h - 5x - 4x^2 + 5x)}{h}\\\\\frac{(4h^2 + 8hx - 5h)}{h}\\\\\frac{h(4h + 8x - 5)}{h}\\\\8x + 4h -5\)

Therefore, the difference quotient is 8x + 4h - 5.

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The resulting dimensions of the acetal disk under a 30-kN load cannot be calculated without additional information about the material properties and deformation behavior.

To calculate the resulting dimensions of the acetal disk, we need to know its properties such as its modulus of elasticity, Poisson's ratio, and yield strength. Without this information, it is not possible to accurately calculate the resulting dimensions.

However, assuming that the acetal disk behaves as a linearly elastic material and that it does not yield under the applied load, we can use the following formula to calculate the resulting dimensions:

δ = PL/(Et^3π/16)

where δ is the deflection of the disk, P is the applied load, L is the diameter of the disk, t is the thickness of the disk, E is the modulus of elasticity, and ν is Poisson's ratio.

Assuming that the acetal disk has a modulus of elasticity of 2.8 GPa and a Poisson's ratio of 0.35, we can calculate the deflection of the disk as follows:

δ = (30 kN)(25 mm)/[(2.8 GPa)(5 mm)^3π/16] ≈ 0.021 mm

Therefore, the resulting dimensions of the acetal disk would be:

Diameter: 25 mm + 2δ ≈ 25.042 mm

Thickness: 5 mm - δ ≈ 4.979 mm

Note that these calculations are based on several assumptions and simplifications, and the actual resulting dimensions of the acetal disk may differ from these estimates. It is always important to consider the specific properties and behavior of the material being used in any mechanical loading device.

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answer: Over the course of four years, there are five math concepts that can be applied to real-life situations.1. coefficient Geometry - The geometry concept of angle measurement can be used to calculate the height of tall objects.

For example, we can calculate the height of a tree by measuring the length of its shadow and the angle between the shadow and the tree.2. Statistics - Statistics concepts such as mean, median, and mode can be used to calculate the average score of a class. For example, if a class has 20 students, and their test scores are 60, 70, 80, 85, and 90, then we can use the mean to calculate the average score of the class, which is (60 + 70 + 80 + 85 + 90) / 5 = 77.3. Algebra -

Calculus - Calculus concepts such as derivatives and integrals can be used to optimize a variety of real-world situations, such as maximizing profit, minimizing cost, and optimizing travel routes. For example, a company can use calculus to optimize the price of their product, based on the demand and cost of production

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Answer:

Factored completely is: 3x^2 (x+3)(x-2)

according to your question - probs (x-2), no other choice

Step-by-step explanation:

have fun friend & have a good day friend :)

The relationship of the data in this table can be described as c = 21 * t.

What is a data table?
A data table is a way to express information in a tabular form. A data table has rows as the horizontal blocks and columns as the vertical blocks. For e.g. a data table of a school administration has the information of students along with their admission numbers, roll numbers, class, sections, and subjects.

Let us consider the given question for an advisor who pays every day for their ads on a site/page. The table clearly shows that the cost paid for advertisements in a day is $21. Similarly the cost for 3 days and 6 days is$63 and $126 respectively. Now, it is clear that that if c is the cost for the time taken t, then the total cost c is given by:c= 21 * t
Therefore, the relationship of the data in the given table is c = 21 * t.

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