Find the slope of the line that passes through the following points: E(1.4). F(5,-2)​

Answer:

823516

Step-by-step explanation:

hope this helps

Answer:

7^7 times -3^3, or -22235661

Step-by-step explanation:

Answer:

its b i took the test

Step-by-step explanation:

its b

Answer:

40

Step-by-step explanation:

The two angles form a right angle

A right angle has a measure of 90 degrees meaning that the sum of the two angles is 90

a + 50 = 90

90 - 50 = 40

Thus, a = 40

missing angle is (40⁰) :)

It would be considered false.if  her prediction is accurate, we would expect 80 adult tickets to be sold. However

rHowever, if the actual number of adult tickets sold is significantly different from 80, then her prediction would be false.

Without any additional information, we cannot determine whether Amelia's prediction is true or false. To evaluate her prediction, we would need to collect data on the number of adult tickets sold when 400 tickets are sold on a Friday afternoon and compare it to her prediction of 80. If the actual number is close to 80, then her prediction would be considered true. Otherwise, it would be considered false.

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Answer:

Relative frequency

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Mathematically, for us to have a right triangle, Pythagoras’ theorem must be obeyed

From the theorem, the square of the hypotenuse (longest side) equals the sum of the squares of the two other sides

Let us take a look at the given set of numbers:

2 square is not same as 1 squared + 1 squared

9 squared is not equal to 3 squares + 5 squared

7 squared is not equal to 4 squared + 3 squared

But;

root 2 squared equals 1 squared plus 1 squared and that is our answer

From Bayes' Theorem, an event, the probability that the blue cab involved in accident as well as witness also identified it as blue cab is equals to the 0.41 or 41%.

Bayes' Theorem states that the conditional probability of an event, is based on the occurrence of another event, is equal to the like of the second event the first event multiplied by the probability of the first event. According to scenario, it is found that a cab was involved in a hit and run accident at night. Number of cab companies operates in city = 2 (blue and green)

Probability that green cab involved in accident, P(G) = 85% = 0.85

Probability that blue cab involved in accident, P(B) = 15% = 0.15

Now, the cab which is identified by witness was a blue cab. Here, probability that witness is correct to identification a blue cab = P(W/B) = 0.80

Probability that witness is wrong to identify the blue cab = P(W/G) = 0.20

Using the Baye's theorem, Probability that accident was caused by blue cab provided witness identifies is written as \(P(B/W) = \frac{ P(B ∩W) }{P(W)} = \frac{ P(B) P( W/B)}{W}\)

Total Probability, \(P(W) = \frac{P(B)}{P(W/B)}+ \frac{P(G)}{P(W/G)}\)

= 0.15 x 0.8 + 0.85 x 0.2 = 1.2 + 1.7 =0.29

\(P(B/W) = \frac{ P(0.15×0.8}{0.29}\)

= 0.12/0.29 = 0.413 = 41%

Hence, required probability value is 41%.

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Answer:

\(-5x^3-11x^2-8x-16\)

Step-by-step explanation:

\(f(x)=-5x+4\)

\(g(x)=x^2+3x-4\)

\(f(x)*g(x)=(-5x+4)(x^2+3x-4)\)

\(=(-5x)(x^2)+(-5x)(3x)+(-5x)(4)+(4)(x^2)+(4)(3x)+(4)(-4)\)

\(=-5x^3-15x^2-20x+4x^2+12x-16\)

\(=-5x^3-11x^2-8x-16\)

The resulting equation after the equations are subtracted is 11x - 8y = -9

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

8x-4y &= -4 \\\\ -3x+4y &= 5

Rewrite these equations properly

So, we have the following representations

8x-4y = -4

-3x+4y = 5

When the second equation is subtracted from the first, we have the following representation

8x + 3x - 4y - 4y = -4 - 5

Evaluate the like terms

So, we have

11x - 8y = -9

Hence. the solution is 11x - 8y = -9

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Answer:

KJ, IK, HI, HJ, IJ

Explanation:

The shortest side of a triangle is always opposite the smallest angle, and the longest side is always opposite the largest angle

The implicit solution to the given differential equation is ln|x| - ln|y|^3 - (x/y)^2 = C, where C is an arbitrary constant.

To solve the given differential equation using the method for solving homogeneous equations, we follow these steps:

Step 1: Rewrite the equation in the standard form:
(4x^2 - y^2)dx + (xy - 3x^3y^-1)dy = 0

Step 2: Divide both sides of the equation by dx:
(4x^2 - y^2) + (xy - 3x^3y^-1)dy/dx = 0

Step 3: Divide through by (xy^2):
(4x^2 - y^2)/(xy^2) + (xy - 3x^3y^-1)/(xy^2)dy/dx = 0

Step 4: Simplify the equation:
4x/y + 1/y^2(dy/dx) + x/y - 3x^3/y^3(dy/dx) = 0

Step 5: Combine like terms:
(5x/y - 3x^3/y^3)(dy/dx) = -5x/y

Step 6: Separate variables and integrate both sides:
∫(y/5x - y^3/3x^3)dy = ∫(-1/5)dx

Step 7: Evaluate the integrals:
(1/10)(y^2/x - y^4/12x^3) = -x/5 + C

Step 8: Simplify the equation:
y^2/x - y^4/12x^3 = -2x/5 + C

Step 9: Rearrange the equation in the form F(x, y) = C:
ln|x| - ln|y|^3 - (x/y)^2 = C

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1) y=75x+125

2)y=75(5)+125

=375+125

=500$

Answer:

D add 4 to both sides

Answer:

0.83

Step-by-step explanation:

5 or more raise the score 4 or less let it rest

Elementary nostoligia :)

Two two numbers whose difference is 88 and whose product is a minimum are -44 and 44.

Let the numbers be x and y where x is larger value and y is smaller number.

According to ques,

x - y =88

and we need to make product of numbers i.e 'xy' minimum.

So we can take x = 88 + y ------(2)

substituting value of x in xy, we get

(88 + y) (y) = y² + 88y ------(1) to make it minimum we need to equate its derivative equal to zero.

derivative of  (1) is 2y + 88

Equating it to zero, we get

2y + 88 = 0

subtracting 88 from both sides, we get

2y = -88

Dividing 2 from both sides, we get

y = -44 ------(3)

Substituting value of y from (3) in (2), we get

x = 88 - 44

x = 44

So, we get value of x as 44 and y as -44 to get their product as minimum.

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Answer:

y=2x-3

Step-by-step explanation:

As seen in graph the intersection points are y=-3, x=1.5

when we put x=0, we get y=-3 in all eqn

we put y=0, we get x =1.5, only first eqn goves right answer

Answer:

The answer would be y=2x-3

Step-by-step explanation:

Answer:

"D" only 1 & 2

Step-by-step explanation:

The mean (μ) of the sample is 25 and the standard error (SE) is approximately 1.58.

To find the mean and standard error of a sample, we can use the formulas:

Mean (μ) = population mean = 25
Standard Error (SE) = √(variance / sample size)

Given that the population mean is 25 and the variance is 200, we can calculate the standard error as follows:

Standard Error (SE) = √(200 / 80)
SE = √2.5
SE ≈ 1.58

Therefore, the mean (μ) of the sample is 25 and the standard error (SE) is approximately 1.58.

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For the number of small aircraft that arrive during a 75-min period, the expected value if 10 and standard deviation is 3.17.

The expected value of the number of small aircraft that arrive during a 75-minute period is ⇒ E[X] = μ = 8t.

We need to convert the time period to hours,

So, t = 75/60 = 1.25 hours.

So, the expected number of small aircraft arrivals during a 75-minute period is ⇒ E[X] = μ = 8(1.25) = 10,

To find the standard deviation, we know that for a Poisson distribution, the standard deviation(σₓ) is the square root of mean.

So, σₓ = √μ = √8t,

Substituting t = 1.25,

We get,

⇒ σₓ = √8(1.25) = √10 ≈ 3.17,

Therefore, the expected value for number of aircraft is 10, and standard deviation is 3.17.

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The given question is incomplete, the complete question is

Suppose small aircraft arrive at a certain airport according to a Poisson process with rate α =8 per hour, so that the number of arrivals during a time period of t hours is a Poisson rv with parameter μ = 8t.

What are the expected value and standard deviation of the number of small aircraft that arrive during a 75-min period?

The data includes a concave mirror with a radius of curvature of +31.5 cm and magnification of m = 3.40. The formula for magnification is m = v/u, and the focal length is f = r/2. Substituting the values, we get u = v/m, and using the mirror formula, the distance of the object from the mirror is 10.15 cm.

Given data: Radius of curvature of a concave mirror, r = +31.5 cm Magnification produced by the mirror, m = 3.40

We know that the formula for magnification is given by:

m = v/u where, v = the distance of the image from the mirror u = the distance of the object from the mirror We also know that the formula for the focal length of the mirror is given by :

f = r/2where,f = focal length of the mirror

Using the mirror formula:1/f = 1/v - 1/u

We know that a concave mirror has a positive focal length, so we can replace f with r/2.

We can now simplify the equation to get:1/(r/2) = 1/v - 1/u2/r = 1/v - 1/u

Also, from the given data, we have :m = v/u

Substituting the value of v/u in terms of m, we get: u/v = 1/m

So, u = v/m Substituting the value of u in terms of v/m in the previous equation, we get:2/r = 1/v - m/v Substituting the given values of r and m in the above equation, we get:2/31.5 = 1/v - 3.4/v Solving for v, we get: v = 22.6 cm Now that we know the distance of the image from the mirror, we can use the mirror formula to find the distance of the object from the mirror.1/f = 1/v - 1/u

Substituting the given values of r and v, we get:1/(31.5/2) = 1/22.6 - 1/u Solving for u, we get :u = 10.15 cm

Therefore, the distance of the mirror from the face is 10.15 cm. The units are centimeters (cm).Answer: 10.15 cm.

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Negative when subtracted is counted as positive because negative multiplied with negative gives positive

-10-(-6)

-10+6

-4 answer

Answer:

-4

Step-by-step explanation:

(-10)-(-6)=

-10 + 6=

-4

hope this helps

have a good day

The statement holds for n=k+1.

By mathematical induction, we have proven that 1·1!+2·2!+···+n·n!=(n+1)!−1 for all positive integers n.

What are integers?

Integers are a set of numbers that include whole numbers (positive, negative, or zero) as well as their opposites.

We will use mathematical induction to prove the statement.

Base case: Let n=1. Then the left-hand side of the equation is 1·1!=1 and the right-hand side is (1+1)!=2!-1=1. Therefore, the statement holds for n=1.

Induction hypothesis: Assume that the statement holds for some positive integer k, i.e., 1·1!+2·2!+···+k·k!=(k+1)!−1.

Inductive step: We need to show that the statement also holds for k+1, i.e., 1·1!+2·2!+···+(k+1)·(k+1)!=(k+2)!−1.

We have:

1·1!+2·2!+···+k·k!+(k+1)·(k+1)!=k!+1·1!+2·2!+···+k·k!+(k+1)·(k+1)!=k!+(k+1)!−1+(k+1)·(k+1)!=k!(k+1+1)+(k+2)!−1=(k+1)!(k+2)−1=(k+2)!−1,

where we have used the induction hypothesis in the second step and simplified in the fourth step.

Therefore, the statement holds for n=k+1.

By mathematical induction, we have proven that 1·1!+2·2!+···+n·n!=(n+1)!−1 for all positive integers n.

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Answer:

hhehehehehheehehe

Step-by-step explanation:

hehehehehhee

Answers in bold:

S9 = 2

i = 20

R = -2

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

Explanation:

\(S_0 = 20\) is the initial term because your teacher mentioned \(A_0 = I\) as the initial term.

Then R = -2 is the common difference because we subtract 2 from each term to get the next term. In other words, we add -2 to each term to get the next term.

Here is the scratch work for computing terms S1 through S4.

\(\begin{array}{|l|l|}\cline{1-2}S_{n} = S_{n-1} - 2 & S_{n} = S_{n-1} - 2\\S_{1} = S_{1-1} - 2 & S_{2} = S_{2-1} - 2\\S_{1} = S_{0} - 2 & S_{2} = S_{1} - 2\\S_{1} = 20 - 2 & S_{2} = 18 - 2\\S_{1} = 18 & S_{2} = 16\\\cline{1-2}S_{n} = S_{n-1} - 2 & S_{n} = S_{n-1} - 2\\S_{3} = S_{3-1} - 2 & S_{4} = S_{4-1} - 2\\S_{3} = S_{2} - 2 & S_{4} = S_{3} - 2\\S_{3} = 16 - 2 & S_{4} = 14 - 2\\S_{3} = 14 & S_{4} = 12\\\cline{1-2}\end{array}\)

Then here is S5 though S8

\(\begin{array}{|l|l|}\cline{1-2}S_{n} = S_{n-1} - 2 & S_{n} = S_{n-1} - 2\\S_{5} = S_{5-1} - 2 & S_{6} = S_{6-1} - 2\\S_{5} = S_{4} - 2 & S_{6} = S_{5} - 2\\S_{5} = 12 - 2 & S_{6} = 10 - 2\\S_{5} = 10 & S_{6} = 8\\\cline{1-2}S_{n} = S_{n-1} - 2 & S_{n} = S_{n-1} - 2\\S_{7} = S_{7-1} - 2 & S_{8} = S_{8-1} - 2\\S_{7} = S_{6} - 2 & S_{8} = S_{7} - 2\\S_{7} = 8 - 2 & S_{8} = 6 - 2\\S_{7} = 6 & S_{8} = 4\\\cline{1-2}\end{array}\)

And finally we arrive at S9.

\(S_{n} = S_{n-1} - 2\\\\S_{9} = S_{9-1} - 2\\\\S_{9} = S_{8} - 2\\\\S_{9} = 4 - 2\\\\S_{9} = 2\\\\\)

--------------------

Because we have an arithmetic sequence, there is a shortcut.

\(a_n\) represents the nth term

S9 refers to the 10th term because we started at index 0. So we plug n = 10 into the arithmetic sequence formula below.

\(a_n = a_1 + d(n-1)\\\\a_n = 20 + (-2)(n-1)\\\\a_n = 20 - 2(n-1)\\\\a_{10} = 20 - 2(10-1)\\\\a_{10} = 20 - 2(9)\\\\a_{10} = 20 - 18\\\\a_{10} = 2\\\\\)

In other words, we start with 20 and subtract off 9 copies of 2 to arrive at 20-2*9 = 20-18 = 2, which helps see a faster way why \(S_9 = 2\)

The equation of the line with slope m and y-intercept b is given by:

In this case the slope is 5 and the y-intercept is -2; then we have that the equation of the line is:

Now that we have the equation of the line we can use it to find points on the line, we do that by given values to x (whichever values we want) and use the equation to determine its corresponding y value.

If x=0, then we have:

Hence, the line passes through the point (0,-2).

If x=1, then we have:

Hence, the line passes through the point (1,3).

Now that we have two points on the line we graph them on the plane:

Finally, we join the points with a straight line. Therefore, the graph of the line is:

The sum of the infinite geometric series –288 –216 –144 –72 is -1152.

The sum of an infinite number of terms having a constant ratio between successive terms is called as infinite geometric series.

Given series, -288, -216, -144, -72, ...

The sum of the infinite geometric series can be calculated as:

Sum = \(\dfrac{a}{1 -r}\)

Here, 'a' is the first term of the series and 'r' is the common ratio.

a = -288

The common difference can be calculated as:

r = \(\dfrac{(-216)}{(-288)}\)

= \(\dfrac{3}{4}\)

Substitute the values in the sum formula:

Sum = \(\dfrac{-288}{1 - \dfrac{3}{4}}\)

It can be simplified as:

Sum =  -288 \(\times\) 4

             = -1152

So, the sum of the infinite geometric series is -1152.

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The Z-score for 12 is -0.83.

Z-score is a statistical measurement that describes a value's relationship to the mean of a group of values. Z-score is measured in terms of standard deviations from the mean. If a Z-score is 0, it indicates that the data point's score is identical to the mean score.

The formula for calculating the Z-score of a data point x in a sample with mean μ and standard deviation σ is:

Z = (x - μ) / σ

Substituting the given values, we get:

Z = (12 - 17) / 6

Z = -0.83 (rounded to two decimal places)

Therefore, the Z-score for 12 in the given sample of data values is -0.83 (to the nearest 0.01).

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The box plot first represents the data set option first is correct the third quartile lies between 52 to 54.

A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have data set:

30, 35, 35, 45, 46, 46, 52, 55, 57

We can find below details from the data set:

Population size = 9

Minimum: 30

First quartile: 35

Median = 46

Third quartile = 53.5

Interquartile Range = 18.5

Maximum = 57

Outliers = none

Thus, the box plot first represents the data set option first is correct.

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