Answer:
y= 17x/7 - 87/7
The answer would be C is the slope is positive so I'm assuming it's a typo
Step-by-step explanation:
1.) When a slope is perpendicular that means that you do an opposite reciprocal so -7/17 turns into 17/7
2.) Use point slope form and solve for y
y-y1= m(x-x1)
y-7= 17/7 (x-8)
y-7= 17x/7 - 136/7
y= 17x/7 - 87/7
Find the product of the polynomial (2x^3+3) (x+4)
which xxx best defines the function's integer vector parameter scores, if scores will have just a few elements, and the function will not change score
The function's integer vector parameter "scores" is most likely a read-only input parameter, which means it will not be modified within the function.
In programming, it is common for functions to have parameters that are used as inputs to the function. These parameters can either be modified within the function (called "output" or "in-out" parameters), or they can be read-only inputs that are not modified within the function. Based on the information provided in the question, it seems that the "scores" parameter falls into the latter category, meaning that it will have a few elements and will not be modified within the function.
In order to fully understand the role of the "scores" parameter in the function, we would need to see the code and understand the context in which it is used. However, based on the information provided in the question, we can make some assumptions about how the parameter is likely to be used. If the function is designed to perform some sort of calculation or analysis on the input data, then it is likely that the "scores" parameter is used as an input to that calculation. In this case, the function may need to access the values in the "scores" vector in order to perform some operation on them, but it would not modify the vector itself. On the other hand, if the function is designed to modify the input data in some way, then it is possible that the "scores" parameter could be modified within the function. However, based on the wording of the question ("the function will not change score"), it seems that this is not the case.
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Suppose that the distances between potholes along the highway have an exponential distribution with parameter 1 = 0.02368 1/m. a. Find the probability that the distance is at most 100 m? At most 200 m? Between 100 and 200 m? b. What is the probability that distance exceeds the mean distance by more than 1 standard deviation? c. What is the value of the median distance?
The distances between potholes along the highway have an exponential distribution with parameter λ = 0.02368 / m.a) value of the median distance is 29.3 km.
Probability that the distance is at most 100 m is given by P(X ≤ 100) = F(100) = 1 - e^(-λx) = 1 - e^(-0.02368 x 100) = 1 - e^(-2.368) = 0.8865Probability that the distance is at most 200 m is given by P(X ≤ 200) = F(200) = 1 - e^(-λx) = 1 - e^(-0.02368 x 200) = 1 - e^(-4.736) = 0.9801
Probability that the distance is between 100 and 200 m is given by P(100 < X < 200) = F(200) - F(100) = (1 - e^(-0.02368 x 200)) - (1 - e^(-0.02368 x 100)) = e^(-2.368) - e^(-1.184) = 0.0936b) Mean distance (μ) = 1/λ = 1/0.02368 = 42.226 km Standard deviation (σ) = 1/λ = 1/0.02368 = 42.226 kmP(X > μ + σ) = P(X - μ > σ) = P((X - μ)/σ > 1)
We know that (X - μ)/σ has a standard normal distribution with mean 0 and standard deviation 1.
Therefore, P((X - μ)/σ > 1) = P(Z > 1) = 0.1587 (from standard normal distribution table)c) Median distance (M) = ln(2)/λ = ln(2)/0.02368 = 29.3 km Therefore, the value of the median distance is 29.3 km.
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Which statement describes this pair of congruent triangles?
H
58°
62
AHJK ALMN
AHJK AMLN
AHJK ANLM
AHJK ANML
The correct option is (C) Triangle HJK is congruent to triangle NLM
What is the triangle?A triangle is a closed, two-dimensional geometric figure with three sides and three angles. It is the simplest polygon and is formed by connecting three non-collinear points with line segments.
What is congruent?Congruent is a term used in geometry to describe two or more geometric figures that have the same shape and size. If two geometric figures, such as triangles or line segments, are congruent, it means that they are identical in shape and size, and they can be superimposed onto each other.
According to the given information:
In Triangle HKJ
Angle H is 58 degrees.
Angle J is 62 degrees.
Angle K is 60 degrees
In Triangle LMN (Arranging in the same order as the angles above)
Angle N is 58 degrees.
Angle L is 62 degrees.
Angle M is 60 degrees.
Therefore, we can say that:
Triangle HJK is congruent to Triangle NLM.
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how to write 0.262 as a fraction
Answer:
\(\frac{131}{500}\)
Hope this helps!!
Answer:
131/500
Step-by-step explanation:
0.262 = 262/1000
\( = \frac{262 \div 2}{1000 \div 2} \)
= 131/500
A b c or d need help on this question!
Answer:
Quadrilateral, rhombus.
Step-by-step explanation:
It is equal on all four sides, meaning it has all equal angles. It is also a rhombus bc of this.
question 9 options: what relationship is there between a person's age and how much money they spend on snacks at the movies? the table below contains data for 10 people who saw the same movie at the same theater, their age, and the dollar amount they spent on snacks. use linear regression to analyze the data.
Linear regression analysis can help determine the relationship between a person's age and how much money they spend on snacks at the movies based on the provided data for 10 people who saw the same movie at the same theater.
To perform linear regression analysis on the provided data, we need to follow these steps:
Plot the data: We can start by creating a scatter plot of the data, with age on the x-axis and the dollar amount spent on snacks on the y-axis. This will help us visualize any potential relationship between the two variables.
Calculate the correlation coefficient: The correlation coefficient measures the strength of the linear relationship between two variables. It ranges from -1 (perfect negative correlation) to +1 (perfect positive correlation), with 0 indicating no correlation. We can use a statistical software package or a calculator to calculate the correlation coefficient between age and snack spending.
Perform linear regression analysis: Linear regression analysis involves fitting a line to the data that best represents the relationship between the two variables. The line is described by an equation of the form y = mx + b, where y is the dependent variable (snack spending), x is the independent variable (age), m is the slope of the line, and b is the y-intercept.
Interpret the results: Once we have performed linear regression analysis, we can interpret the results to determine the relationship between age and snack spending. Specifically, we can look at the slope of the line to see how much snack spending increases (or decreases) for each unit increase in age. If the slope is positive, then snack spending increases with age; if the slope is negative, then snack spending decreases with age.
Therefore, by performing linear regression analysis on the provided data, we can determine the nature and strength of the relationship between a person's age and how much money they spend on snacks at the movies
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HELP!!
A coin-operated machine sells plastic rings. It contains 11 orange rings, 15 green rings, 0 pink rings, and 5 yellow rings. Patricia puts a coin into the machine. Find the theoretical probability she gets a yellow ring. Express your answer as a decimal. If necessary round your answer to the nearest thousandth
0.161
2.818
6.2
0.355
Answer:
0.161
Step-by-step explanation:
5 / (11 + 5 + 15) = 5 / 31 = 0.161
A 16-foot ladder is leaning against a wall and the bottom of the ladder is 7 feet from
the bottom of the wall. How high up the wall is the ladder touching?
round to the nearest tenth
Answer:
13.23 feet^2
Step-by-step explanation:
suppose you have a function of two variables, nand k; for instance h(n, k).if you are told that h(n, k)
Given a function of two variables, n and k, denoted as h(n, k), the function describes a mathematical relationship or operation that depends on the values of both n and k. Further details about the specific function, its definition, or purpose are required to provide a more comprehensive explanation.
A function of two variables, h(n, k), typically represents a mathematical relationship or operation that involves two independent variables, n and k. The specific form and purpose of the function can vary widely depending on the context or problem at hand.
To understand the behavior and properties of the function h(n, k), additional information is needed. This may include the mathematical expression defining the function, any constraints or conditions on the variables, and the intended interpretation or application of the function.
The function h(n, k) could represent various scenarios, such as a cost function in economics, a probability distribution in statistics, or a mathematical model in a scientific context. Without more details, it is challenging to provide a specific explanation or analysis of the function and its implications.
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I know that ez
is continuous on R
, but how would I show this rigorously on C
using the ϵ−δ
definition of continuity?
I know how to begin:
If |z−z0|<δ
then we want |f(z)−f(z0)|<ϵ
.
To work backwards, I know we want to basically play around with |f(z)−f(z0)|=|ez−ez0|
and then pick δ
to have some relationship with ϵ
so that we get the inequality.
However, I am having a hard time figuring out how to proceed with expanding |ez−ez0|
in a way that gets me to a point where I can get |z−z0|
to appear somewhere.
To show that the function f(z) = ez is continuous on C (the set of complex numbers), we can use the ε-δ definition of continuity. Let's proceed step by step.
Given: We want to show that for any ε > 0, there exists a δ > 0 such that for all z0 in C, if \(\[|z - z_0| < \delta\]\) , then |f \(\[\left| z - f(z_0) \right| < \varepsilon\]\).
To begin, let's consider the expression \(\begin{equation}|f(z) - f(z_0)| = |e^z - e^{z_0}|\end{equation}\). Using the properties of complex exponential functions, we can rewrite this expression as \(\begin{equation}|e^{z_0}||e^z - z_0|\end{equation}\) .
Now, let's focus on the expression |ez-z0|. Using the triangle inequality for complex numbers, we have \(\begin{equation}|e^z - z_0| \leq |e^z| + |-z_0|\end{equation}\) . Since |z0| is a constant, we can denote it as \(\begin{equation}M = |z_0|\end{equation}\).
So, \(\[|ez - z_0| \leq |ez| + M\]\)
Now, let's expand |ez| using Euler's formula:
\(\[ez = e^x(\cos{y} + i\sin{y})\]\), where \(\[z = x + iy\]\) (x and y are real numbers).
Thus,
\(\[\left| ez \right| = \left| e^x (\cos{y} + i \sin{y}) \right|\]\)
= ex.
Returning to the inequality, we have \(\[|ez - z_0| \leq ex + M\]\).
Now, let's return to our original goal:\(\[|f(z) - f(z_0)| < \varepsilon\]\).
Substituting the expression for \(\[|ez - z_0|\]\), we have\(\[|ez_0||ez - z_0| < \varepsilon\]\).
Using our previous inequality, we get \(\[|ez_0|(e^x + M) < \varepsilon\]\).
We can now choose \(\[\delta = \ln\left(\frac{\varepsilon}{|ez_0|(1 + M)}\right)\]\).
By construction, δ > 0.
If \(\[|z - z_0| < \delta\]\), then
|f \(\[z - f(z_0)\]\)
\(\[= |e^z - e^{z_0}|\]\)
=\(\[|ez_0||ez - z_0| \leq |ez_0|(e^x + M) < |ez_0|e^\delta\]\)
\(\[=|ez_0|e^{\ln\left(\frac{\varepsilon}{|ez_0|(1 + M)}\right)}\]\)
= ε.
Therefore, for any ε > 0, we can choose \(\[\delta = \ln \left( \frac{\epsilon}{|ez_0|(1 + M)} \right)\]\) to satisfy the ε-δ definition of continuity.
This shows that the function \(f(z) = ez\) is continuous on C.
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I need help! I don't know what to do!
3 gallons of paint cover 900 square feet. How many gallons will cover 300
square feet?
Answer:
1 gallon
Step-by-step explanation:
Since the relationship is direct, meaning as the number of square feet decreases, the number of gallons also decreases.
3:900 = x:300
solution:
3(300) = 900x
900=900x
x=1
Answer:
1
Step-by-step explanation:
3 gallons for 900 sqft
1 gallon for 300 sqft
900/300=3
3/3=1
how could you describe the graph
Answer:
wefawefaWF
Step-by-step explanation:
The denominator of a rational number is greater than its numerator by 5. If 5 is subtracted from the numerator and 4 is added to its denominator, the new number is ⅛ . Find the rational number.
Answer:
7/12.
Step-by-step explanation:
=x/x+5.
x-5/x+5+4=⅛
x-5/x+9=⅛
x-5=⅛(x+9)
x-5=⅛x+1⅛
x-⅛x=1⅛+5
⅞x=49/8
7x=49
x=7
thus the initial fraction is x/x+5= 7/12
A rational number is a fraction
how many pattern block trapezoids would create 2 hexagons
The right response is, "5 hexagons are made up of 15 pattern block trapezoids."
Geometric shapes known as pattern block trapezoids are frequently utilized in arithmetic instruction. On a flat surface, they are one of a number of forms that can be used to make tessellations, or repeating patterns. Different colored plastic or foam pattern block trapezoids are available in a variety of sizes, with each color denoting a distinct size and form. Pattern block trapezoids are frequently used to teach geometry principles like area, perimeter, and angles in addition to their application in making tessellations. They can also aid in the development of kids' spatial reasoning and problem-solving skills.
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If an relationship is proportional what is the missing value from the table?
according to a local law, each household in this area is prohibited from owning more than 3 of these pets. if a household in this area is selected at random, what is the probability that the selected household will be in violation of this law? show your work.
The probability that a randomly selected household in the area will be in violation of the local law prohibiting owning more than three pets the number of households that own more than three pets divided by the total number of households in the area.
To calculate the probability, we need to determine the number of households that own more than three pets and the total number of households in the area. Let's assume there are a total of N households in the area.
The number of households that own more than three pets can vary, so we'll denote it as X. Now, to find the probability, we divide X by N. The probability can be written as P(X > 3) = X/N.
However, we don't have specific information about the number of households or the distribution of pet ownership in the area. Without these details, it is not possible to provide an exact probability. To calculate the probability accurately, we would need more information about the population of households in the area, such as the total number of households and the distribution of pet ownership. With this information, we could determine the number of households violating the law and calculate the probability accordingly.
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Please help asap the picture has everything needed to answer the question. Thank you!
Answer:
Step-by-step explanation:
f(x) = 0
then x =
-2 and +2
f(x) = 5
then x = +3 and -3
ASAP WILL MARK BRAINLIEST
If UW = 6x - 35, find UW.
Answer:
u= 6x-35/w Hope this helped <3
Step-by-step explanation:
Let's solve for u.
uw=6x−35
Step 1: Divide both sides by w.
Step-by-step explanation:
Answer:-This all will be attempted according to Figure.
We can see in figure ,
\(\tt{UW = 4x-20+19}\) _____(1)
Now, question says that:-
\(\tt{UW = 6x - 35}\)_______(2)
Equating ,
(1)=(2)
So,
\(\tt{4x-20+19 = 6x - 35}\)
\(\tt{4x-1 = 6x - 35}\)
\(\tt{4x-6x = +1- 35}\)
\(\tt{-2x = -34}\)
\(\tt{x = \dfrac{34}{2}}\)
\(\tt{x = 17}\)
Now, we need UW.
Placing it in any Equation, Let me take (2),
6(17) -35
= 102 - 35
So, 67 is the answer.
Hope it helps :)
This figure shows right triangles drawn inside of a rectangle
Answer:
Sin p=Cos v
Cos k=Sin r
Step-by-step explanation:
The sine of an angle is equal to the cosine of its complement.
The cosine of an angle is equal to the sine of its complement.
PLEASE HELP FASR ILL GIVE BRAINLIEST IF CORRECT!!!!
Victor sells candles. The graph shows the number of candles sold and the
income from the sales. It represents a linear function.
Which statement best describes Victor's income from selling these candles?
A. He sells 4 candles per dollar.
B. He sells 7.5 candles per dollar.
C. He gets $4 per candle.
D. He gets $7.50 per candle.
Answer:
D
Step-by-step explanation:
22.5÷3 is 7.5 and 52.5÷3 is 7.5 as well
Money is y axis (x,y) and candles is x axis (x,y)
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:
47
Step-by-step explanation:
Answer:
x = 63
Step-by-step explanation:
180 = 47 + 70 + x
180 = 117 + x
180 - 117 = x
63 = x
HELP ME PLEASE I NEED TO TURN IN MY ASSIGNMENT NOW!!!!!!!!! 30 POINTSSS
SOLVE FOR Y
2y + 8 1/5 = 33
SOLVE FOR N
2n + 4 1/5 = 9
Therefore, y is equal to 12 2/5 and n is equal to 2 2/5 in the equation.
What is equation?An equation is a mathematical statement that shows that two expressions are equal. An equation is typically written with an equal sign (=) between two expressions. Equations can involve various mathematical operations, such as addition, subtraction, multiplication, division, exponents, and logarithms. Solving an equation typically involves performing mathematical operations on both sides of the equation to isolate the variable (the unknown value) and find its value.
Here,
To solve for y in the equation 2y + 8 1/5 = 33, we can follow these steps:
Subtract 8 1/5 from both sides of the equation:
2y = 33 - 8 1/5
2y = 24 4/5
Divide both sides of the equation by 2:
y = (24 4/5) / 2
y = 12 2/5
Therefore, y is equal to 12 2/5.
To solve for n in the equation 2n + 4 1/5 = 9, we can follow these steps:
Subtract 4 1/5 from both sides of the equation:
2n = 9 - 4 1/5
2n = 4 4/5
Divide both sides of the equation by 2:
n = (4 4/5) / 2
n = 2 2/5
Therefore, n is equal to 2 2/5.
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the average of 21, 18, 16 and x is 20. what is the value of x?
Answer: 25
Step-by-step explanation:
21 + 18 +16 + X = 20×4
55 + X = 80
X = 80- 55
Answer:
21.75
Step-by-step explanation:
21- 16 = 5
5/2 2.5
16 + 2.5 or 21 - 2.5
18.5 - 18 = .5
1/2 times 1/2 =
1/4
1/4 = .25
18.5 - .25 or 18 + .25
18.25
20 - 18.25 = 1.75
1.75 + 20
21.75
The volume of a big pot is 2 gallons, and the volume of a small pot is 3 quarts. What is the difference in volume between the two pots?
The difference between the two pots is 4731.761 cm^3
How to determine this?
1 gallon = 3785.41 cm^3
2 gallons = 3785.41 cm^3 *2
= 7570.82 cm^3
And also,
1 quart = 946.353 cm^3
3 quarts = 946.353 cm^3 * 3
= 2839.059 cm^3
So, the difference between the two
= 7570.82 cm^3 - 2839.059 cm^3
= 4731.761 cm^3
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Select the correct answer from the drop-down menu. Find the polynomial. {5} is the solution set of.
Polynomials are expressions. The polynomial whose solution set is {5} is x²-10x+25.
What are polynomial?Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.
As it is given that the {5} is the solution set of the function, therefore, we can write,
\(x = 5\\(x-5 )= 0\)
Thus, (x-5) is one of the factors of the polynomial.
Let's assume that the 5 is the only root of the polynomial, therefore, if we multiply the factor by itself we will get the quadratic equation whose solution is only 5.
\((x-5)^2\\\\\text{Using the algebric identity we will get}\\\\x^2-10x+25\)
Hence, the polynomial whose solution set is {5} is x²-10x+25.
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Answer:
x²-10x+25
Step-by-step explanation:
It was correct for me
Which of the following functions matches this graph?
Answer:
a. y=x^2
Step-by-step explanation:
desmos graphing calculator
PLEASE HELP!!!!!
Need hELP ASAP
Answer:
bro please help me make me brianliest I think c
A cylinder has a diameter of 12 inches at its base. The height of the cylinder is 1.25 feet. What is the volume of the cylinder in cubic inches
The volume of the cylinder is 1696.5652 cubic inches.
To calculate the volume of a cylinder, use the formula:
Volume = π × r² × h
where π is approximately 3.14159, r is the radius of the base, and h is the height of the cylinder.
Given that the diameter of the cylinder's base is 12 inches, the radius calculated as half of the diameter:
Radius = 12 inches / 2 = 6 inches
The height of the cylinder is given as 1.25 feet, but we need to convert it to inches to match the units of the radius:
Height = 1.25 feet × 12 inches/foot = 15 inches
All the values needed to calculate the volume:
Volume = 3.14159 × 6² × 15
Simplifying the expression:
Volume = 3.14159 × 36 × 15
= 1696.5652 cubic inches
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