On a coordinate plane, line M N goes through points (2, 3) and (negative 3, 2). Point K is at (3, negative 3).
Which point could be on the line that is perpendicular to Line M N and passes through point K?

(0, −12)
(2, 2)
(4, 8)
(5, 13)

The equation of a line with slope a and y-intercept b can be expressed in the for y = ax + b.

For a line passing through the points (1,1) and (2,-1), its slope is given by:

To find the intercept, we can just replace x and y by one of the given pairs of coordinates:

Therefore, the equation of the line is y = -2x + 3

The number of hours to stay within the budget of $100.60 is less than 7 hours

From the question, the parameters are:

Reservation fee = $32

Additional fee = $9.80

The linear equation that represents the total amount spent is represented as:

Total charges = Reservation fee + Additional fee * Number of hours

This can be represented as

y = Reservation fee + Additional fee * x

Where

x = Number of hours

y = Total charges

So, we have the following equations:

y = 32 + 9.80x

For the budget to be less than $100.60, we have the following inequality

32 + 9.80x < 100.60

Subtract 32 from both sides

9.80x < 68.6

Divide both sides by 9.80

x < 7

Hence, the hours is less than 7

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Answer: 3

Step-by-step explanation:

      First, we will write a mathematical equation for the phrase given.

-> Let n be "a number"

             four subtracted from twice a number is two

             four subtracted from twice a number = 2

             (twice a number) - 4 = 2

             2n - 4 = 2

      Now, we will solve this equation by isolating the variable.

             2n - 4 = 2

             2n = 6

             n = 3

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Answer:

Suppose Galileo should walk x meters on 15 degree inclined plane, and then he will get the 150 meter altitude and he could perform his experiments with the balls

Answer:

\(\huge\boxed{\sf x = -100}\)

Step-by-step explanation:

\(\displaystyle -\frac{x}{5} -8=12\\\\Add \ 8 \ to \ both \ sides\\\\-\frac{x}{5} = 12+ 8\\\\-\frac{x}{5} = 20\\\\Multiply \ both\ sides \ by \ 5\\\\-x = 20 \times 5\\\\-x = 100\\\\Multiply\ both \ sides \ by\ -1\\\\x = -100\\\\\rule[225]{225}{2}\)

Using a proportional relationship, we have that:

\(y = kx\)

Item a:

From the graph, when x = 8, y = 5, hence:

\(y = kx\)

\(5 = 8k\)

\(k = \frac{5}{8}\)

\(k = 0.625\)

The constant of proportionality is of 0.625, hence the equation is: \(y = 0.625x\).

Item b:

From the graph, when y = 5, x = 8, hence:

Item c:

When they are 200 kilometers apart, we have that the distance in miles is of \(y = 0.625(200) = 125\).

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Suppose that f and g are inverse functions, with f(g(x)) = g(f(x)) = x. A function's inverse retrieves the initial value, and g(y) = (y-5)/2 = x is the inverse of f. (x).

The inverse function theorem in mathematics provides a necessary requirement for a function to be invertible in the vicinity of a point in its domain, meaning that its derivative is continuous and non-zero at the point. This condition is relevant to differential calculus.

The derivative of the inverse function is also given a formula by the theorem. This theorem in multivariable calculus can be extended to any continuously differentiable, vector-valued function whose Jacobian determinant is nonzero at a point in its domain, providing a formula for the Jacobian matrix of the inverse.

The inverse function theorem also applies to complex holomorphic functions, differentiable functions between Banach spaces, differentiable functions between manifolds, and so forth.

Picard and Goursat used an algebraic approach to prove the theorem in the beginning.

Hence, Suppose that f and g are inverse functions, with f(g(x)) = g(f(x)) = x. A function's inverse retrieves the initial value, and g(y) = (y-5)/2 = x is the inverse of f. (x).

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Answer:

-1/2

Step-by-step explanation:

Formula to find slope is y2-y1/x2-x1

Chose one ordered pair to be the 2 and the other one to be the 1

I chose the 2nd one to be 2.

Plug in the y-value from the 2nd ordered pair to y2 because its the 2.

Plug in the x-value from the 2nd ordered pair to x2 because its the 2.

Now you have 0-y1/5-x1

Do the same thing but for the 1.

Plug in the y-value from the 1st ordered pair to y1 because its the 1.

Plug in the x-value from the 1st ordered pair to x1 because its the 1.

Now you have 0-5/5--5

In this situation, you have 2 minus signs.

2 minus = 1 positive.

Now you have 0-5/5+5

Simplify.

Now you have -5/10.

Simplify.

-1/2.

Hope this helps!

Answer:

(672-640)/640 x 100 = 5%

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

if i am not wrong i think it is 1 bc u can only cut a verticle line in the middle, then i dont see any other ways.

Answer: 6.5<6.55

Step-by-step explanation: Because you add the zero to the 6.50 but it’s still less than 6.55.

Answer:

−6.5<6.55

Step-by-step explanation:

I took the K12 test

Answer:

b

Step-by-step explanation:

<ABC refers just to angle B. Angle B is on the opposite side of 98 therefore we would have to divide it by two. 98 divided by 2 is 49

Given that the probability that the closing price of a company's stock tomorrow will be higher than today's close without any prior information is 1/3. The probability approach that this statement is an example of is called a subjective probability. Therefore, the correct option is 3.

Subjective probability is a probability estimation that is dependent on the observer's subjective judgment. Subjective probability is estimated based on the personal feelings, intuition, and hunches of the observer, who may or may not have factual information.

It is subjective because it is subject to one's perception and is frequently based on previous experience or individual judgment in determining the likelihood of an event. The probability derived from subjective probability cannot be considered accurate or reliable because it is influenced by personal emotions or judgment. Hence, the correct answer is option 3.

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Profit fall in one year = 116.8$

What is profit?

In accounting, a profit is an income that is given to the owner throughout a successful market producing process. Profitability, which is the owner's primary interest in the income-formation process of market production, is measured by profit. There are several profit metrics that are frequently used.

Let cost price = C

And selling price before reducing = S

Profit for 1 day = S-C

Now, After reducing selling price to = S-0.32

Profit= S - 0.32 - C for 1 day

Profit fall by = (S-C)-(S - 0.32 - C)

                     = S - C - S + 0.32 + C

Profit fall by = 0.32 for 1 day

Profit fall by one year = 0.32×365

                                    = 116.8$

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The largest number of fence post that can possibly be cut from the log is 23.8( nearest tenth)

A word problem in math is a math question written as one sentence or more. This statements are interpreted into mathematical equation or expression.

For us to know the number of fence post that can be obtained from the log, we need to convert the length of the log into cm

Therefore;

1m = 100cm

16m = 16× 100 = 1600 cm

Therefore the maximum number of fence post that can be obtained is

1600/70 = 160/7

= 23.8 ( nearest tenth)

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we can say that Y is directly proportional to X with a constant of proportionality 2.5. This can be expressed using the equation: Y = 2.5X.

what is the proportional relationship?

In mathematics, a proportional relationship is a relationship between two variables where their ratio remains constant. In other words, if we increase one variable by a certain factor, the other variable also increases by the same factor.

To determine whether the values in the table show a proportional relationship, we need to check whether the ratio between any two corresponding values of X and Y is constant.

Let's calculate the ratios for each pair of corresponding values in the table:

Ratio of Y to X for (1, 2.5): 2.5/1 = 2.5

Ratio of Y to X for (2, 5): 5/2 = 2.5

Ratio of Y to X for (3, 7.5): 7.5/3 = 2.5

Ratio of Y to X for (4, 10): 10/4 = 2.5

We can see that the ratio of Y to X is constant at 2.5 for all pairs of corresponding values. This means that the values in the table do show a proportional relationship.

Therefore, we can say that Y is directly proportional to X with a constant of proportionality 2.5. This can be expressed using the equation:

Y = 2.5X

So, if we double X, Y will also double, and if we triple X, Y will triple, and so on.

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The dissociation curve is a graphical representation of the relationship between the fractional saturation of hemoglobin (Y-axis) and the partial pressure of oxygen (X-axis) under specific conditions. It provides important information about the binding and release of oxygen by hemoglobin.

The dissociation curve for hemoglobin exhibits a sigmoidal (S-shaped) shape. At low partial pressures of oxygen, such as in tissues, hemoglobin has a low affinity for oxygen and only binds a small amount. As the partial pressure of oxygen increases, hemoglobin's affinity for oxygen increases, resulting in a rapid increase in the binding of oxygen molecules. However, once the hemoglobin becomes nearly saturated with oxygen, the curve levels off, indicating that further increases in partial pressure have minimal effects on oxygen binding.

To calculate the fractional saturation of hemoglobin at a given partial pressure of oxygen, you can use the Hill equation:

Y = [O2]^n / ([O2]^n + P50^n)

Where:

Y is the fractional saturation of hemoglobin,

[O2] is the partial pressure of oxygen,

P50 is the partial pressure of oxygen at which hemoglobin is 50% saturated,

n is the Hill coefficient, which represents the cooperativity of oxygen binding.

To determine the P50 value experimentally, the partial pressure of oxygen at which hemoglobin is 50% saturated, you can plot the dissociation curve and identify the point where the curve reaches 50% saturation.

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Applying the division of functions f(x) and g(x), it is found that the quotient and the domain are given, respectively, by:

3) 2x + 3; domain is the set of all real numbers except 1​.

It is the set that contains all possible input values.

In this problem, the functions are given as follows:

Hence the division is given by:

\(\frac{f(x)}{g(x)} = \frac{2x^2 + x - 3}{x - 1}\)

The denominator cannot be zero, hence the domain is \(x \neq 1\).

Considering that 2x² + x - 3 = (2x + 3)(x - 1), the function can be simplified as 2x + 3, hence option 3 is correct.

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The problem describes a scenario in which two objects, A and B, start moving towards each other from different locations and speeds. Object A starts from point A, which is 60 miles away from object B, at a speed of 20 mph, while object B starts from point B at a speed of 25 mph.

To solve this problem, we can use the formula Distance = Speed x Time. We know that the total distance between A and B is 60 miles and we want to find the time at which they meet. Let's call that time "t". Let's also assume that they meet at some point "x" miles away from A. Then, the distance that A travels is 60 - x and the distance that B travels is x. Using the formula, we can set up an equation:

Distance A + Distance B = Total Distance

(60 - x) + x = 60

Simplifying this equation, we get:

60 - x + x = 60

60 = 60

This equation is always true, so it doesn't give us any information about when A and B will meet. However, we can use the formula Distance = Speed x Time to set up another equation that relates the distance and speeds of A and B to the time they travel before meeting:

Distance A = Speed A x Time

Distance B = Speed B x Time

Substituting the distances and speeds we know, we get:

(60 - x) = 20t

x = 25t

We can use either equation to solve for t, but let's use the second equation. Substituting x = 25t, we get:

(60 - 25t) = 20t

Simplifying and solving for t, we get:

60 = 45t

t = 4/3

Therefore, A and B will meet after traveling for 4/3 hours, or 1 hour and 20 minutes.

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After set s1.addAll(s2), s1 is [1, 2, 5, 2, 3, 6].

After performing the operation s1.addAll(s2) on sets s1 [1, 2, 5] and s2 [2, 3, 6], the set s1 would become[1, 2, 5, 2, 3, 6].

To determine the value of s1, the following steps has to be taken:

1. Start with sets s1 [1, 2, 5] and s2 [2, 3, 6].

2. Apply the addAll operation with set s2: [2, 3, 6]

3. Add each element from set s2 to set s1, while avoiding duplicates (since sets cannot have duplicate elements).

4. Therefore, suppose if set s1 is [1, 2, 5] and set s2 is [2, 3, 6] then, after s1.addAll(s2), the set s1 becomes [1, 2, 5, 2, 3, 6].

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The equation is y = 2.5x+38 using slope form.

So, we know that formula two find the slope of the line joining two points which is:

So y = MX +c.

m is the slope and c is the constant intersect.

Therefore, the equation is y = 2.5x+38 using slope form.

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Answer:

65

Step-by-step explanation:

Base by High

then divided by 2

The sampling method described in the scenario is convenience sampling.

Convenience sampling is a non-probability sampling technique where individuals are selected based on their convenience or accessibility to the researcher.

In this case, the sample is chosen by asking the researcher's 40 closest friends, which implies that the selection is based on the convenience and availability of those individuals rather than a random or systematic approach.

Convenience sampling is often used in situations where it is difficult or impractical to obtain a representative sample from the population of interest. It is commonly seen in informal surveys, pilot studies, or situations where the researcher has limited resources or time constraints.

While convenience sampling can be quick and easy to implement, it is important to note that it introduces potential biases into the sample.

The sample obtained through convenience sampling may not accurately represent the larger population, as it relies on the availability and willingness of individuals to participate.

This can result in a sample that is not truly representative and may lead to biased or misleading conclusions.

Therefore, it is crucial to interpret the results of studies based on convenience sampling with caution, as they may not generalize well to the broader population.

For more accurate and reliable results, researchers often opt for probability sampling methods, such as simple random sampling or stratified sampling, which provide a higher level of representativeness and reduce the potential for bias.

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5.33 F  is the average change in temperature per hour.

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.

Given, At 8:00 A.M., the temperature is 53 °F. At 11:00 A.M., it is 69 °F.

Since there is a Sum change in temperature in 3 hours

From the formula of average:

Average change = total change/ time taken

in our case

Total change = 69 - 53

Total change = 16 F

Total time taken = 11 - 8

Total time taken = 3

Thus Average = 16/3

Average = 5.3333

Therefore, the average change in temperature per hour is 5.33 F.

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Answer:

Yes

Step-by-step explanation:

Answer: Yes

Both of them equal 10 regardless

A(5, 11)

Dilated with center at the origin using a factor of 4

To find A' we just have to multiply by 4 both corrdinates

Answer:

A'(20, 44)

Answer:

I'm almost positive that A and D are wrong but please don't kill me if I'm wrong

Step-by-step explanation:

Answer:

what is it?

Step-by-step explanation:

Answer:

D The function shown on the graph has the same rate of change ,but a higher starting point

Answer:

y=3x+3

Step-by-step explanation:

Y-intercept is 3 since (0,3)

(3-(-3))/(0-(-2) = 6/2 = 3

y=mx+b

y=3x+3