A line passes through the points (P, a) and (P, –a) where P and A are real numbers and P does not equal 0. Describe each of the following. Explain your reasoning.

1. slope of the line

2. equation of the line

3. y-intercept

4. slope of a line perpendicular to the given line

Answer:

√29 =c

Step-by-step explanation:

a^2+b^2=c^2

5^2+2^2=c^2

25+4=c^2

29=c^2

√29=c

A rhombus with opposite sides are parallel and equal, and opposite angles are equal looks like Diamond.

A closed two-dimensional plane figure is a rhombus. It is regarded as a peculiar parallelogram, and due to its distinctive characteristics, it acquires a distinct identity as a quadrilateral. Due to its equal length sides, a rhombus is also known as an equilateral quadrilateral. The name "rhombus" is derived from the Greek word "rhombos," which really refers to a spinning object.

Due to the fact that it is a quadrilateral with two pairs of parallel sides, a rhombus can be considered a particular parallelogram. A rhombus also has equal sides on all four sides, exactly like a square. Because of this, it is often referred to as a tilted square. To comprehend the relationship between the rhombus shape, parallelogram, and square, look at the graphic below.

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Therefore, each friend will get 2(2/5) pounds of pecans. So the correct option is (D) 2(2/5) pounds.

To find out how many pounds each friend gets, we need to divide the total weight of pecans by the number of friends.

Total weight of pecans: 14(2/5) pounds

Number of friends: 6

To divide the pecans equally, we divide the total weight by the number of friends:

(14(2/5)) / 6

To simplify this division, we can convert the mixed number to an improper fraction:

14(2/5) = (70/5) + (2/5) = 72/5

Now we divide 72/5 by 6:

(72/5) ÷ 6 = (72/5) * (1/6) = 72/30 = 12/5 = 2(2/5)

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Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.

The simplified expression of -35 / (-5) is 7.

Let the given expression be -35 / (-5) then

-35 / (-5) = -35/-5

simplifying the above equation, we get

= 35/5

= 7

Therefore, the value of -35 / (-5) is 7.

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The formula for Z-score is given as,

Given that

Therefore,

Hence,

Rieman sums are used to calculate the approximate value of the area under the curve of real functions.

A left Riemann sum uses rectangles whose top-left vertices are on the curve while the right Riemann sum uses rectangles whose top-right vertices are on the curve.

The width of each rectangle is given by:

Where a and b are the endpoints of the interval and n is the number of rectangles.

We are given the function:

y = ln x on the interval [2, 9]

And it's required to use n = 3 rectangles, thus:

For the left Riemann sum, we need to calculate the values of y for:

x = 2

x = 2 + w = 4.333

x = 2 + 2w = 6.667

f(2) = ln 2 = 0.6931

f(4.333) = 1.4662

f(6.667) = 1.8972

The area of the rectangles is the height by the base:

A = 0.6931 x 2.333 + 1.4662 x 2.333 + 1.8972 x 2.333

A = 9.4640

For the right Rieman sum, we need to calculate the values of y for:

x = 2 + w = 4.333

x = 2 + 2w = 6.667

x = 2 + 3w = 9

f(4.333) = 1.4662

f(6.667) = 1.8972

f(9)= 2.1972

Calculate the area of the rectangles:

A = 1.4662 x 2.333 + 1.8972 x 2.333 + 2.1972 x 2.333

A = 12.973

Note: The real value for the area (using integration) is 11.39

Answer:

A and e

Step-by-step explanation:

Answer: 5, 10, 15, 20

Step-by-step explanation:

Domain is all possible values that can be used as inputs in a function.

The arcade machine accepts multiples of 5 game tokens. You have 20 tokens. As the machine accepts 5 game tokens, the minimum is 5. Since you have 20, the maximum is 20.

The multiples of 5 are:

5 x 1 = 5

5 x 2 = 10

5 x 3 = 15

5 x 4 = 20

Considering the definition of a system of linear equations, the lines intersects at the point (0,-7).

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are fulfilled. That is to say, the values ​​of the unknowns must be sought, with which when replacing, they must give the solution proposed in both equations.

The unknowns established in a system represent the point where the lines intersect in a Cartesian plane (x,y).

The system of equations to solve is:

\(\left \{ {{y=2x-7} \atop {y=x-7}} \right.\)

There are several methods to solve a system of equations, it is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.

In this case, the "y" variable is already isolated in the first equation. Substituting in the second equation you get the expression:

2x -7= x-7

Solving:

2x -x= -7 + 7

x= 0

Substituting this value in the first equation you obtain the value of y:

y=2×0 -7

y= 0 -7

y= -7

So, the solution of the system of equations is (0,-7). That is, the lines intersects at the point (0,-7).

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Answer:

Yes, the lines will intersect, if you plug in y for both equations, you get x0. To find Y, plug in 0 for either equation, this will get you 7. (0,7). This should work for both equations because the intersection point is the same point where both equations meet.

Step-by-step explanation:

Yes, there are experts here in data forecasting methods who can help you with the topics you've mentioned including time series (holts, holts winter), naive method, regression, acf, pacf, arima, stl method and multivariate time series.

Below are brief explanations of each of these terms:

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Answer:

220%,2.2,√5,2.25

Step-by-step explanation:

220%=2.2

√5=2.23

Answer:

You didn't say from least to greatest or greatest to least but I will do both

least to greatest: 1/8, 5/9 4/5

Greatest to least: 4/5  5/9  1/8

Step-by-step explanation:

1/8 is only 1 out of eight so that is obviously the least then you can covert 5/9 and 4/5 to the same denominator which is 45. 5/9 is now 25/45 and 4/5 is 36/45 36 is bigger than 25 so 4/5 is the greatest and 5/9 is the median

Answer:

1/8 least , 5/9 , 4/5 greatest

Step-by-step explanation:

From least to greatest it is great to picture a pie chart and view on how many pieces of pie would fill the pan or if you cant do that , the divided the numerator to the denominator.

4/5 ---->  80%

5/9 ----> 55%

1/8 ----> 12%

Answer:

It looks like 35 miles per hour

Step-by-step explanation:

if you look at the vertical line between 0 and 2 (which is the one hour mark) on the horizontal axis of the graph you can see the line of the graph crossed under the 40 mi. Therefore the train traveled about 35 miles in one hour (or 35 mph) because there are no other answers under 40.

Each strength training exercise should be performed for 2 to 6 sets with no more than 6 repetitions. To encourage the greatest outcomes, the training intensity for each set should be 85% or greater.

In essence, percentages are fractions with a 100 as the denominator. We place the percent sign (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100). %, which is a relative figure used to denote hundredths of any amount. Since one percent (symbolized as 1%) is equal to one tenth of anything, 100 percent stands for everything, while 200 percent refers to double the amount specified.

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Answer:

53 square units

Step-by-step explanation:

12.5+13+13.5+14

Answer:

no

Step-by-step explanation:

10² + 24² ≠ 28²

Descriptive statistics is a branch of statistics that deals with the collection, analysis, interpretation, and presentation of data. It focuses on summarizing and describing the characteristics of a sample or population. The purpose of descriptive statistics is to provide a clear and concise summary of the data, including measures of central tendency, variability, and distribution.

True,This information can be used to make inferences about the population as a whole. Therefore, descriptive statistics helps statisticians to better understand and interpret the population data.

False, Descriptive statistics is a branch of statistics that focuses on summarizing and organizing data from a sample or population. It provides insights into the basic features of the data, such as the mean, median, and standard deviation, but does not make inferences about the population.

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Answer:

DH, CG, BF

Explanation:

Since the question is asking which lines are parallel to AE and AE is a vertical line, you need to look at the other vertical lines that are making up the sides of the box. These vertical lines are 1. DH 2. CG 3.BF.

Hope this helps.

As no diagrams provided ,you cab solve according to the formulas provided below

Rectangle:-

Semicircle:-

r is radius

The inverse of the statement is "If a number does not have exactly two distinct factors, then the number is not prime." Thus Option 2 is the answer.

   When a conditional statement is reversed, the hypothesis and conclusion are both negated. The hypothesis in the original statement is "a number with exactly two distinct factors," while the conclusion is "is prime."

  To make the inverse, we negate both sections. "A number does not have exactly two distinct factors" is the antonym of "A number that has exactly two distinct factors." "Is not prime" is the opposite of "is prime."

    As a result, the inverse statement is "If a number does not have exactly two distinct factors, then the number is not prime."

     It's crucial to remember that a statement's inverse could or might not be accurate. In this instance, the inverse is true since the definition of a prime number is incompatible with the fact that a number has more than two components if it has more than exactly two different factors.

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Mean of the distribution of sample mean differences (men bpm - women bpm) is -4.3.

The mean of the distribution of sample mean differences (men bpm - women bpm) can be calculated using the formula:

mean difference = mean men bpm - mean women bpm

From the given information, we know that the mean men bpm is 82.8 and the mean women bpm is 87.1. Thus, the mean difference can be calculated as:

mean difference = 82.8 - 87.1
mean difference = -4.3

Therefore, the mean of the distribution of sample mean differences (men bpm - women bpm) is -4.3.

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Answer: "3 + x".

Step-by-step explanation:

Answer:

272 units^2

Step-by-step explanation:

1) Find area of whole figure which is a trapezoid.

Area of trapezoid = ((18+34)/2)*16 We are adding the bases, dividing by 2 and multiplying by height. This is the formula to find the area of a trapezoid.

So Area of trapezoid = 416 units^2

2) Find area of non-shaded figure which is a triangle.

Base= 18, Height= 16

Area of triangle = (16*18)/2 We are multiplying the base and height which is the formula to find the area of a triangle.

So Area of triangle = 144 units^2

3) Subtract non-shaded figure from whole figure to get shaded figure.

416-144 = 272 units^2

Hope this helps :)

Answer:

y=2x+8

Step-by-step explanation:

Move 4x to other side and divide everything by 2

The probability of X = 10 is approximately 0.25, and the probability of X = 11 is approximately 0.125.

To calculate the probability of X = 10, we need to consider all possible combinations of two coins that can sum up to 10 cents. There are two possible combinations: selecting a nickel and a dime, or selecting two nickels. The probability of selecting a nickel and a dime is (6/16) * (5/15) = 1/8, since there are 6 nickels and 5 dimes in the jar. The probability of selecting two nickels is (6/16) * (5/15) = 1/8. Adding these probabilities together gives a total probability of 1/8 + 1/8 = 1/4, which is approximately 0.25.

Similarly, to calculate the probability of X = 11, we need to consider all possible combinations of two coins that can sum up to 11 cents. There is only one combination: selecting a nickel and a dime. The probability of selecting a nickel and a dime is (6/16) * (5/15) = 1/8, which is approximately 0.125.

Therefore, the probability of X = 10 is approximately 0.25, and the probability of X = 11 is approximately 0.125.

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Answer:

(2x-³y⁴)³(x³+y⁰)÷(4xy-²)³

Its 2.3 per year and the question says 2 years ago so 2.3×2

=4.6%

So,

210 000÷100×4.6

=9660

now

9660+210000

=219 660

HOPE ITS HELPS GIVE BRAINLIEST

(C) The standard deviation is 100 and the mean is 22.

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers.

While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.

So, using the concepts of expected value and variance of random variables, this issue can be resolved.

By the expected value principle:

E(Y) = E(2+4X) = E(2) + E(4X) = 2 + 4E(X) = 2 + 4(5) = 22

\(\mathrm{E}(\mathrm{Y})=\mathrm{E}(2+4 \mathrm{X})=\mathrm{E}(2)+\mathrm{E}(4 \mathrm{X})=2+4 \mathrm{E}(\mathrm{X})=2+4(5)=22\)

Then, μy = 22

In terms of variance concept:
Var(Y) = Var(2 + 4x) = Var(2) + Var(4x) + 2Cov(2, 4x)

Cov(2, 4x) = 0

Var(2) = 0

Hence:
Var(Y) = Var(4x) = 4²Var(X) = 16σ²ₓ = 16(25²) = 10000

Standard deviation(Y) = √10000 = 100

Therefore, (C) the standard deviation is 100 and the mean is 22.

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Complete question:
The random variable X is normally distributed with a mean of 5 and a standard deviation of 25. The random variable Y is defined by Y = 2 + 4X. What are the mean and the standard deviation of Y? The mean is 20 and the standard deviation is 102.

A) The mean is 20 and the standard deviation is 50.

B) The mean is 22 and the standard deviation is 102.

C) The mean is 22 and the standard deviation is 100.

D) The mean is 22 and the standard deviation is 50.

The equations of the lines are y = 3x - 5 and y = (1/2)x - 7

An equation is an expression that shows how numbers and variables are related to each other.

A linear function is in the form:

y = mx + b

Where m is the rate of change and b is the initial value

Two lines are parallel if they have the same slope

1) y = 3x + 6; (4, 7)

The parallel line would have a slope of 3 and pass through (4, 7), hence:

y - 7 = 3(x - 4)

y = 3x - 5

2) y = (1/2)x + 5; (4, -5)

The parallel line would have a slope of 1/2 and pass through (4, -5), hence:

y - (-5) = (1/2)(x - 4)

y = (1/2)x - 7

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