Find the midpoint of the line segment joining the points R(4,3) and S(-1,6).
+
The midpoint is.
(Type an ordered pair. Use integers or simplified fractions for any numbers in the expression.)

Answer:

The amswer is "2,4,9....."

Step-by-step explanation:

\(x=\frac{1}{7}\\\\x_d=0.\overline{142857}\\\\x_h=0.\overline{249}\\\\\)

by leave you to work out the other 7 digits:

\(\to \frac{1}{7}\approx \frac{a}{16}\\\\a= \text{first hex digit}\\\\a=floor(\frac{16}{7})=2\\\\\)  

\(\to \frac{1}{7}- \frac{a}{16}\approx \frac{b}{16^2}\\\\b= \text{second hex digit}\\\\b=floor(\frac{16^2}{7} -16a)=4\\\\\)  

\(\to \frac{1}{7}- \frac{a}{16}-\frac{b}{16^2} \approx \frac{c}{16^3}\\\\c= \text{third hex digit}\\\\c=floor(\frac{16^3}{7} -16^2a-16b)=9\\\\\)  

Qualitative researchers use qualitative analysis computer programs to assign labels or codes to data.

What does qualitative research analysis entail?

The following five categories can be used to categorize qualitative data analysis-

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The angle, its complement, and its supplement are 36, 54 and 144 degrees respectively

The sum of complementary angles s 90 degrees while that of supplementary angles is 180 degrees.

Let the complement of an angle be 90 -x and its supplement be 180 -x

If three times the measure of a supplement of an angle is eight times the measure of a complement of the angle, then;

3(180-x) = 8(90-x)

Expand

540-3x = 730 - 8x

540-720 = -8x + 3x

180 = 5x

x = 180/5

x = 36 degrees

Complement  = 90 - 36 = 54degrees

Supplement = 180 - 36 = 144 degrees

Hence the angle, its complement, and its supplement are 36, 54 and 144 degrees respectively

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Answer:

T = 21.98

Step-by-step explanation:

T = pi (R²-r²)

T = 3.14 x (4² - 3²) = 3.14 x (16 - 9) = 3.14 x 7 = 21.98

John's savings amount as a function of time is S(t) = $24,000 / 25. Initially, he needs to save $24,000 for a new car. After the first month, he has saved $1,000. The savings amount is directly proportional to the time elapsed. The constant of proportionality is 1/24. Thus, John's savings amount can be determined based on the remaining amount he needs to save.

John's savings amount can be represented as a function of time and is proportional to the amount he still needs to save. Let's denote the amount John needs to save as N(t) at time t, and his savings amount as S(t) at time t. Initially, John needs to save $24,000, so we have N(0) = $24,000.

We know that John has saved $1,000 after the first month, which means S(1) = $1,000. Since his savings amount is proportional to the amount he still needs to save, we can write the proportionality as:

S(t) = k * N(t)

where k is a constant of proportionality.

We need to find the value of k to determine John's savings amount at any given time.

Using the initial values, we can substitute t = 0 and t = 1 into the equation above:

S(0) = k * N(0)  =>  $1,000 = k * $24,000  =>  k = 1/24

Now we have the value of k, and we can write John's savings amount as a function of time:

S(t) = (1/24) * N(t)

Since John's savings amount is proportional to the amount he still needs to save, we can express the amount he still needs to save at time t as:

N(t) = $24,000 - S(t)

Substituting the expression for N(t) into the equation for S(t), we get:

S(t) = (1/24) * ($24,000 - S(t))

Simplifying the equation, we have:

24S(t) = $24,000 - S(t)

25S(t) = $24,000

S(t) = $24,000 / 25

Therefore, John's savings amount at any given time t is S(t) = $24,000 / 25.

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Answer:

Step-by-step explanation:

Note how this drawing  is symmetrical about a horizontal line drawn halfway between AB and CD and passing through the origin.

Line AB has been subdivided into two equal pieces of length 15, so the length of AB is twice 15, or 30.  Due to the symmetry shown, line CD has the same length:  30.

Answer:

c+10+2c+c=220

Step by step Explanation:

Let, a= number of adult's tickets sold

s= number of senior's tickets sold

c= number of children's tickets sold

a=c+10

and, s=2c

Now, a+ s+ c=220

c+10+2c+c=220

4c=210

c=52.5

Note: If there were 222 tickets the answer will be 53

The MCVST or MCVSD admission test is an entrance exam for students who live in New Jersey and are seeking admission to the Morris County Vocational School District. This test is designed to assess the academic abilities and potential of students.

The MCVST admission test typically includes sections in math, reading comprehension, and language skills. The math section assesses the student's understanding of mathematical concepts and problem-solving skills. The reading comprehension section evaluates the student's ability to understand and analyze written passages. The language skills section tests the student's knowledge of grammar, vocabulary, and sentence structure.

To prepare for the MCVST admission test, there are several practice tests available online. Some websites offer free practice tests specifically designed for this exam. You can search for these practice tests by using keywords like "free MCVST admission test practice" or "MCVSD practice tests."

Remember to utilize these practice tests to familiarize yourself with the types of questions and format of the MCVST admission test. This will help you feel more confident and prepared on test day.

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Given:

The expression is,

Simpify the expression,

Answer:

The midpoint Riemann sum approximation of ∫64x3 1−−−−−√ⅆx using 4 subintervals of equal width is 9980

The midpoint Riemann sum approximation of ∫64x3 1−−−−−√ⅆx using 4 subintervals of equal width is calculated by summing the area of each subinterval under the midpoint of the interval.

The formula for the midpoint Riemann sum is given by:

Sum = (width of interval) * (height of midpoint)

For this problem, since the width of each interval is 16/4 = 4, the midpoint Riemann sum is calculated by:

Sum = 4 * (1 + (16/4)^3 + (32/4)^3 + (48/4)^3)

Substituting the values for each midpoint, we get the following equation:

Sum = 4 * (1 + 4^3 + 8^3 + 12^3)

This simplifies to:

Sum = 4 * (1 + 64 + 512 + 1728)

Therefore, the midpoint Riemann sum approximation of ∫64x3 1−−−−−√ⅆx using 4 subintervals of equal width is:

Sum = 4 * (2495)

Sum = 9980

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Answer:

(x+1)^2 + (y-5)^2 = 9

Step-by-step explanation:

center = (h, k)

(x-h)^2 + (y-k)^2 = r^2

(x-(-1))^2 + (y-5)^2 = (3)^2

(x+1)^2 + (y-5)^2 = 9

Answer:

Step-by-step explanation:

You have to divide 47.5 and 5

Hope this helps lol

Therefore, our initial assumption that a and n are not relatively prime must be false, and we can conclude that a and n are indeed relatively prime numbers.

To prove that both a and b are relatively prime to n given that ab ≡ 1 (mod n), we will use contradiction. Assume that a and n are not relatively prime, meaning they have a common factor greater than 1. Then, we can write a = kx and n = ky, where k > 1 and x and y are relatively prime.

Substituting a = kx into ab ≡ 1 (mod n), we get kxb ≡ 1 (mod ky). Multiplying both sides by x, we get kxab ≡ x (mod ky). Since k > 1 and x are relatively prime, kx and ky are also relatively prime. Therefore, we can cancel out kx from both sides of the congruence, leaving b ≡ x (mod y). Now, suppose that b and n are not relatively prime, meaning they have a common factor greater than 1. Then, we can write b = jy and n = jm, where j > 1 and y and m are relatively prime.

Substituting b = jy into ab ≡ 1 (mod n), we get ajy ≡ 1 (mod jm). Multiplying both sides by y, we get ajym ≡ y (mod jm). Since j > 1 and y are relatively prime, jy and jm are also relatively prime. Therefore, we can cancel out jy from both sides of the congruence, leaving am ≡ 1 (mod j). But since k and j are both greater than 1, and n = ky = jm, we have k and j as common factors of n, which contradicts the assumption that x, y, and m are relatively prime.

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The area of the figure below is 58 in².

Area is the region bounded by a plane shape.

To calculate the area of the figure, we use the formula below

Formula:

Where:

Substitute these values into equation 1

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The probability that a student chosen at random has a cat or a dog is; P(cat or dog) = 22/25.

What is probability?

Probability is that the branch of arithmetic regarding numerical descriptions of however probably an incident is to occur, or however probably it's that a proposition is true. The likelihood of an incident could be a range between 0 and 1.

Main body:

According to the question, the total number of students is; 25.

15 of them have a cat

16 of them have a dog

while, 3 of them have neither

where, x = number if students who own a cat and a dog.

Consequently, the total number of students who own a cat, a dog, both or neither is as follows;

15-x + x + 16-x + 3 = 25.

-x = 25 - 34

In essence, x = 9

the number of students who own a cat and a dog is 9.

Therefore, probability that a student chosen at random has a cat and a dog is therefore;

P(cat and dog) = 9/25.

Therefore probability that a student chosen at random has a cat or a dog is 22/25.

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Answer:

Please attach a graph as your question lacks needed information

Step-by-step explanation:

Answer: 30

180-149= 31

180-119-31=30

To solve the given problem, we will calculate the probabilities using the Poisson distribution and then approximate them using the normal distribution with and without continuity correction.

Given:

Lambda (λ) = 24

X < 16

(a) Exact probability using the Poisson distribution:

Using the Poisson distribution, we can calculate the exact probability that X is less than 16.

P(X < 16) = sum of P(X = 0) + P(X = 1) + ... + P(X = 15)

Using the Poisson probability formula:

P(X = k) = \((e^(-\lambda\) * \lambda^k) / k!\)

Calculating the sum of probabilities:

P(X < 16) = P(X = 0) + P(X = 1) + ... + P(X = 15)

(b) Approximating the probability using the normal distribution:

To approximate the probability using the normal distribution, we need to calculate the mean (μ) and standard deviation (σ) of the Poisson distribution and then use the properties of the normal distribution.

Mean (μ) = λ

Standard deviation (σ) = sqrt(λ)

Without continuity correction:

P(X < 16) ≈ P(Z < (16 - μ) / σ), where Z is a standard normal random variable

With continuity correction:

P(X < 16) ≈ P(Z < (16 + 0.5 - μ) / σ), where Z is a standard normal random variable

(c) Approximating the probability using the normal distribution:

Without continuity correction:

P(X < 16) ≈ P(Z < (16 - μ) / σ), where Z is a standard normal random variable

With continuity correction:

P(X < 16) ≈ P(Z < (16 - 0.5 - μ) / σ), where Z is a standard normal random variable

To calculate the probabilities, we need to substitute the values of λ, μ, and σ into the formulas and evaluate them.

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The conclusion in the argument is "the good, according to Plato, is that which furthers a person's real interests." which it is the correct answer.

In a well-structured argument, the conclusion is what the argument aims to prove.

The conclusion can be located at the beginning or end of the argument, and it should always be precise, clear, and understandable.

The conclusion in the argument above is that "the good, according to Plato, is that which furthers a person's real interests."

The argument tries to explain that the good in Plato's philosophical teachings is a thing that advances a person's genuine interests.

The statement "it follows that" is the premise that links the argument with the conclusion.

The premise and the conclusion have a relationship of cause and effect, and this implies that the argument's conclusion is "the good, according to Plato, is that which furthers a person's real interests."

Therefore, the right option is: the good, according to Plato, is that which furthers a person's real interests.

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Answer:

42.64 mph

Step-by-step explanation:

5 1/3 / 7 1/2 = m/60

see attached for explanation

Answer:

above sea level

Step-by-step explanation:

Answer:

Step-by-step explanation:

a.)

\(4880.76=4000(1+.04/4)^{4x}\\\\1.22019=1.01^{4x}\\\frac{\ln{1.22019}}{\ln{1.01}}=4x\\x= 4.999999= 5\)

b.)

\(5395.4=4000(1+x/12)^{12*5}\\1.34885=(1+x/12)^{60}\\\sqrt[60]{1.34885} =1+x/12\\x= 0.0599999772677= .06\)

c.)

\(\i)\\100*(1+.1255)= 112.55\\\\2)\\100*(1+.1218/2)^2= 112.550881= 112.55\)

Answer:

  (a)  Line 1

Step-by-step explanation:

The given point is only a solution to the equation for Line 1. This is shown in the attached graph.

__

You can put those values into each equation to see if it is satisfied.

1: -4 +2 = -2 . . . . this equation is satisfied.

2: 3(-4) -(2) = -14 ≠ 2 . . . . this equation is not satisfied

(-4, 2) is a solution to the Line 1 equation only.

Answer:

Like terms

Step-by-step explanation:

Are the terms that contain same variables, same exponents of variables and same coefficients.

HOPE THIS HELPS

Answer:

63 it's the closest

Step-by-step explanation:

Answer:

the answer is 21 π

Step-by-step explanation:

\(V= \pi r^{2} \frac{h}{3}\)

r=3

h=7

7/3 x 3^2 = 21

=21π

Answer:

\(\frac{1}{3}\)

Step-by-step explanation:

1. Convert both mixed numbers into improper fractions:

\(\frac{15}{4} x = \frac{5}{4}\)

2. Multiply both sides by 4:

4 · \(\frac{15}{4} x=\frac{5}{4}\) · 4

15x = 5

3. Isolate x:

x = 1/3

hope this helps!

Answer:

it looks like x is increasing and y is decreasing

Step-by-step explanation:

Answer:

40% of people get their wishes to come true. Since you have read this, at exactly 1:44 P.M., you will be told news that will surprise you. Now it's said that if you copy and paste this 4 times and comment this in the next 2 minutes and 34 seconds you will have the choice to make a wish or not in your dreams. If you don't copy and paste it, 18 hours of unluckiness will start at 6:42 A.M.. Also, if you have a dog as a pet the chances of this working are 93%.

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90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on eight comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you.!

The side lengths measuring 9 units , 12 units and 15 units make a Right Triangle because the sides satisfy the condition of the Pythagoras Theorem .

According to the  Pythagoras Theorem , which states that square of the lonest side (hypotnuse) is equal to the sum of the square of the other two sides ( perpendicular and Base) ,

The side lengths of right triangle are = 9 units , 12 units and 15 units ,

According to the condition of Pythagoras theorem , \(15^{2} = 12^{2} + 9^{2}\)

On simplifying ;

we get ;

\(225 = 144 + 81\) ;

\(225 = 225 ;\)

the condition is satisfied ,

that means the sides form a right triangle .

Therefore , the side 9 units , 12 units and 15 units  make a right triangle .

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