match the vector field f with the correct plot. f(x, y) = x, −y
Answers
Option b is true to match the vector field f with the given plot f(x, y)=x, -y
What is meant by a function?The earliest known attempts at the concept of functions can be traced back to the work of the Persian mathematicians Al-Biruni and Sharaf al-Din al-Tusi. Originally, functions were idealized dependencies of one variable on another. For example, planetary positions are functions of time. Historically, this concept was developed in calculus towards the end of his 17th century, and the functions studied were differentiable (i.e. they had a high degree of regularity) until his 19th century ).
Given,
f(x, y) = x, -y
gt; at x⇒∞, y⇒-∞ downwards
at x⇒∞, y⇒+∞ downwards
Therefore, option b is true to match the vector field f with the given plot
f(x, y)=x, -y
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The complete question is as follows:
Match the vector field f with the correct plot. f(x, y) = x, −y
Related Questions
why are t statistics more variable than z-scores?
Answers
T statistics are more unpredictable than z scores since they employ sample variance rather than population variance.
Explain the term t statistics?The t-value, also known as the t-score, is a ratio of the variance present within the sample sets to the difference between their respective means. The discrepancy between the means of the two tested samples serves as the numerator value.When data sets have a normal distribution however the population variance is unknown, the t test is typically performed. If you flip a coin 1,000 times, for instance, you can discover that the outcome is distributed normally over all trials.The correlation between both the response as well as the predictor factors can be found using the t-test statistic.In linear regression, the null hypothesis that slope or coefficient is equal to 0 will be tested using a one-sample t-test.Thus, because the t statistic employs the sample variance rather than the population variance, it is more volatile than z scores.
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(2x² + 3x − 9)
Factor
Answers
A right triangle is formed in the first quadrant by the x- and y-axes and a line through the point.
Answers
The area of the triangle as the function of x is [tex]x^2[/tex] / 2x - 4 and the domain of the function is x∈(2, ∞)
The point on the line = (2, 1)
The give three points are (0, y), (2, 1) and (x, 0)
The slope of the line is the change in y coordinates with respect to the change in x coordinates of the line
Consider the point (0, y) and (2, 1)
Slope = (1-y) / (2-0)
= (1-y) /2
Consider the point (2, 1) and (x, 0)
Slope = (0-1) / (x-2)
= -1/x-2
Both slopes are equal
(1-y) /2 = -1/x-2
(1-y) = -2 / (x-2)
y = 1 + (2/(x-2))
y = x / (x-2)
The area of the triangle = (1/2)bh
Where b is the base
h is the height
The area of the triangle = (1/2) × x × (x / (x-2))
= [tex]x^2[/tex] / 2x - 4
The domain is x∈(2, ∞)
Hence, the area of the triangle is [tex]x^2[/tex] / 2x - 4 and the domain of the function is x∈(2, ∞)
The complete question is
A right triangle is formed in the first quadrant by the x- and y-axes and a line through the point (2,1). Write the area of the triangle as a function of x, and determine the domain of the function.
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The population of a city increases by 0. 8% per year. If this year's population is 108,000, what will next year's population be, to the nearest individual?.
Answers
The population of the next year will be, 108,864.
What is population?
The term "population" refers to all citizens who are either permanently residing in a nation or are just temporarily absent from it. This indicator displays the population of a given area on a regular basis. Growth rates are the yearly changes in population brought on by births, deaths, and net migration.
Given:
The population of a city increases by 0. 8% per year.
This year's population is 108,000.
0.8% of 108,000 is,
108,000 x 0.008 = 864
The population increased by 864 people.
So, the next year's population will be,
108,000 + 864 = 108,864.
Hence, the next year's population will be 108,864.
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A partial payment is made on the date indicated. Use the United States rule to determine the balance due on the note at the date of maturity. (The Effective Date is the date the note was written.) Assume the year is not a leap year.Principal Rate Effective Date Partial Payment Maturity Date Amount Date $2000 4% April 1 $1000 May 1 June 1 The balance due on the note at the date of maturity is $nothing.(Round to the nearest cent as needed.)
Answers
The balance due on the note at the date of maturity is $1010.13.
What is meant by partial payment?The offering of a payment by cheque for less than the whole amount sought by the creditor is known as partial payment. It is standard practice to grant debt forgiveness in exchange for the tender of a "payment-in-full" check.
Given permission to apply the US rule
In the United States, a year is deemed to have 360 days for the purposes of calculating interest.
Given that the principal is $ 2000,
Interest rate = 4% = 0.04
The effective date is April 1.
The whole amount is $1,000.
May 1 = partial payment
Duration = 30 days (May 1 - April 1)
Therefore, interest = PTR = 2000 * 0.04 * 30/360 = $6.67
So value = $ 2000 + $6.67 = $6.67
Partial payment received = $1,000
As a result, value = $ 1006.67 = $2006.67 - $ 1000
Time T= 31
Interest = PTR * 31/360 * 0.04 = 3.46
So the total value is $1006.67 + $3.47 = $1010.13.
The note's outstanding balance at maturity is $1010.13.
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Solve the following equation. 25x + 3 = 14 (Type an exact answer.)
Answers
Answer:11/25
Step-by-step explanation:
I am thinking of a number. When I divide my number by $7$ and subtract $\dfrac{3}{5},$ I get back my original number. What is my number?
Answers
add 10 to both sides
x/3 = 32
multiply 3 on both sides
x = 96
Fill in the blank with an appropriate word, phrase, or symbol(s). Measures of dispersion are used to indicate the spread or _ of the data.
Answers
Measures of dispersion are used to indicate the spread or variability of the data.
What is measure of dispersion?Measures of dispersion are crucial for representing the spread of the data, or its fluctuation around a central value, whereas measures of central tendency are used to assess a dataset's "normal" values.
The four main measure of dispersion include
Range Standard deviationInterquartile rangeVarianceThe range in statistics refers to the distribution of data between the lowest and greatest value in the distribution. It is a widely used indicator of variation.
The standard deviation deals with how much the data is away from the mean
The variance is standard deviation squared
These measures the spread, variability or distribution of data
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The number of pages read, p, varies directly as the number of minutes spent reading, m. After 15 minutes, zoe had read 10 pages. Find the equation represents the relationship.
Answers
By using the concept of direct proportion, it can be calculated that
The equation which represents the given relationship is
[tex]p = \frac{2}{3}m[/tex]
What is direct proportion?
Suppose there are two quantities. Proportionality indicates that if there is a change in the value of one quantity, the value of other quantity also changes but maintaining a constant ratio
Direct proportion
Two quantities are said to be in direct proportion if on increasing the value of one quantity, the value of other quantity also increases and vice versa.
For example cost of a commodity and quantity of a commodity are in direct proportion
The number of pages read, p, varies directly as the number of minutes spent reading, m.
So the equation is
p = km, where k is the constant of proportionality
After 15 minutes, Zoe had read 10 pages.
Putting m = 15 and p = 10
10 = k [tex]\times[/tex] 15
k = [tex]\frac{10}{15}[/tex]
k = [tex]\frac{2}{3}[/tex]
So the equation which represents the given relationship is
[tex]p = \frac{2}{3}m[/tex]
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Calculate how far each of the following travels. A helicopter flies at a speed of 72miles per hour for 10 minutes
Answers
Answer:
12 miles
Step-by-step explanation:
72 x [tex]\frac{10}{60}[/tex] = 12
determine the zeros of f(x)=28x^2−7
Answers
The zeroes of the function f(x) = 28x² - 7 will be 1/2 and negative 1/2.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2.
The function is given below.
f(x) = 28x² - 7
For the zeroes of the function, put f(x) = 0, then we have
f(x) = 0
28x² - 7 = 0
x² = 1/4
x = ± 1/2
The zeroes of the function f(x) = 28x² - 7 will be 1/2 and negative 1/2.
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carla's cell phone company charges $35 a month for phone service plus $0.50 for each text message. carla's bill was $52 this month.
Answers
The number of text messages sent by carla in a month is 34.
What is an algebric equation ?
An algebraic equation is a mathematical statement that sets two expressions equal to each other. An algebraic equation is typically made up of a variable, coefficients, and constants.
For given question,
Phone service = $35
For each text message = $0.50
Total bill = $52
Let x be the no. of total text messages.
Equation: 52 = 35 + 0.50x
Solving for x,
52 - 35 = 0.50x
17 / 0.50 = x
34 = x
The number of text messages sent by carla in a month is 34.
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Alex and Debbie took an afternoon walk through the city. Alex practiced his map making skills along the way, and drew an accurate picture of each turn they took. When he got home, he measured the angles of their turns with a protractor. His drawings are shown below. If they started their walk going north, what direction did they end up facing?
Answers
Answer:
connect with a tour
Step-by-step explanation:
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What is irrational number and is 4/3 a irrational number??
Answers
Answer: 4/3 is not irrational, it is rational
Explanation:
A rational number is a ratio, or fraction, of two integers. The denominator cannot be zero.
4/3 is rational since it's the ratio of the integers 4 over 3.
Since it is rational, it is not irrational. The term "irrational" literally means "not rational". Therefore, a real number is either of those options, but not both simultaneously.
A famous example of an irrational number is [tex]\pi \approx 3.14...[/tex] because it cannot be written as a fraction of two integers. We can get approximations like 22/7, but never manage to capture the full value of [tex]\pi[/tex] with a single fraction.
Another example of an irrational number is [tex]\sqrt{2}[/tex]
[tex]\displaystyle\\Answer: \ \frac{4}{3} \ isn`t\ an\ irrational\ number[/tex]
Step-by-step explanation:
An irrational number is an infinite non-periodic fraction
[tex]\displaystyle\\\frac{4}{3}=1\frac{1}{3} \\\\\frac{4}{3} =1.333333...\\\\\frac{4}{3}=1.(3)[/tex]
1.(3) - is an infinite periodic fraction
[tex]\displaystyle\\Hence,\ \frac{4}{3} \ isn`t\ an\ irrational\ number[/tex]
From the top of a cliff 168 m above the water, the angle of depression of a boat on the water is 25°. How far is the boat from the foot of the cliff? Please answer!! Asap I need help!!
Answers
The distance of the boat from the foot of the cliff is 360 metres.
How to find the distance of the boat?From the top of a cliff 168 m above the water, the angle of depression of a boat on the water is 25°.
The distance of the boat from the foot of the cliff can be calculated as follows:
The situation forms a right angle triangle.
Using trigonometric ratios,
tan 25 = opposite /adjacent
opposite side = 168 m
adjacent side = distance of the boat from the foot of the cliff
Hence,
tan 25 = 168 / a
a = 168 / tan 25
a = 168 / 0.46630765815
a = 360.277671148
a = 360 metres
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In a multiple regression problem involving two independent variables, if b1 is computed to be +2.0, it means thatthe estimated mean of Y increases by 2 units for each increase of 1 unit of X1, without regard to X2.the estimated mean of Y increases by 2 units for each increase of 1 unit of X1, holding X2 constantthe estimated mean of Y is 2 when X1 equals zero.the relationship between X1 and Y is significant.
Answers
The solution is y will increase by 2 units with every unit increase in x1
What do you mean by multiple regression?A single dependent variable and several independent variables can be analyzed using the statistical technique known as multiple regression. In order to predict the value of the single dependent value, multiple regression analysis uses independent variables whose values are known.
What is the difference between multiple and single regression?X and Y variables are the sole ones in simple linear regression. Two or more x variables and one y variable make up multiple linear regression. For instance, basic linear regression is used when we forecast rent using only square footage.
In the above question:-
Interpretation of b1=2
it means that y will increase every 2 units for every unit increase in x1
holding x2 constant.
Hence option B is the correct answer.
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Drew's grandmother is 72 years old. Drew's mother is y years younger than Drew's grandmother, and she is 45 years old. Write an equation using subtraction that represents this situation.
Answers
explanation: If drews mother is 45 and his grandmother is 72 and you want to know how many years apart they are you would subtract 45 from 72. Y represents the amount of years apart they are aka your answer. if you write out the whole equation its y= 72-45 or 72-45=y
Tom and rosie are designing a game. In each turn, a player rolls five 666-sided dice and adds the numbers showing on each face to determine how many points they get that turn. For example, the lowest number of points in a given turn is 1+1+1+1+1=51+1+1+1+1=51, plus, 1, plus, 1, plus, 1, plus, 1, equals, 5 points, and the highest is 6+6+6+6+6=306+6+6+6+6=306, plus, 6, plus, 6, plus, 6, plus, 6, equals, 30 points.
Answers
Rosie's statement about expecting a total of about 175 points over 100 turns is accurate.
Based on the expected value, Rosie's statement is correct.
The expected value, denoted as E(X), represents the average or mean value of a random variable, in this case, the sum of points in a given turn when rolling the five dice.
Tom's statement, "A player will most likely get 17.5 points in any given roll," is not accurate. The expected value of 17.5 points does not necessarily mean that a player is most likely to get exactly 17.5 points in any single roll. Instead, it indicates that over many rolls, the average value of points earned in a turn is 17.5 points.
On the other hand, Rosie's statement, "Over 100 turns, we can expect a total of about 175 points," is correct. Since the expected value is 17.5 points per turn, over 100 turns, we can expect the total sum of points to be approximately 100 turns × 17.5 points/turn = 1750 points.
In summary, the expected value of 17.5 points represents the average outcome over multiple rolls, and based on this value, Rosie's statement about expecting a total of about 175 points over 100 turns is accurate.
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The complete question:
Tom and Rosie are designing a game. In each turn, a player rolls five 6-sided dice and adds the numbers showing on each face to determine how many points they get that turn. For example, the lowest number of points in a given turn is 1+1+1+1+1=5 points, and the highest is 6+6+6+6+6=30 points.
They let X represent the sum in a given turn, and they find the expected value of X is E(X) = 17.5 points.
Tom says, "A player will most likely get 17.5 points in any given roll."
Rosie says, "Over 100 turns, we can expect a total of about 175 points."
Whose statement is correct based on the expected value?
Alejandro and some friends are going to the movies. At the theater, they sell a bag of popcorn for $3. 50 and a drink for $4. How much would it cost if they bought 3 bags of popcorn and 8 drinks? how much would it cost if they bought pp bags of popcorn and dd drinks?.
Answers
Answer:
3.50 × 6 = $21.004.50 × 4 = $18.00
But to Add These Two Numbers up The Cost Would $39.00 All Together :D
And pp+ dd+ =$39.00
Step-by-step explanation:
In the diagram, A and B are points
on the circle AC and BC are
tangents to the circle and meet
at C. Work out the angle ACB.
Answers
The angle ACB would be 80 degrees.
What is tangent to a circle?
The tangent always makes a single-point contact with the circle. It never intersects the circle twice. Tangents from an external point to a circle have the same length.
In the given figure,
angle AOB = 40.
So angle OBA = 40.
Then the angle AOB = 180 - 40 -40
AOB = 100.
By the theorem of circles,
AOB + ACB = 180
100 + ACB = 180
ACB = 80.
Hence, the angle ACB would be 80 degrees.
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PLEASE HELP the product of x^3 , x^5 + x
Answers
x^5= x •x •x
x •x •x •x •x •x •x •x •x= x^9
solve the following system of equations. if there is no solution, write dne in each coordinate of the ordered triplet. if there are an infinite number of solution, write each coordinate in terms of z . z. x 7
Answers
DNE in each coordinate of the ordered triplet are y is -7 , DNE ,y is-2.
Whais the explanation?1.) 2+3 = y + 12
Make y the formula's subject after adding the LHS.
5 = y + 12
Y = 5 - 12
Y = - 7
The answer to the equation is -7
2.) 2 + 13 = 1 +8
The equation cannot have a solution since there is no unknown variable and the sum of the numbers on the left hand side (LHS) does not equal the sum of the numbers on the right hand side (RHS).
3.) y - 7 = 2 - 11
RHS is added, and y is become the formula's subject.
Y - 7 = -9
Y = -9 + 7
Y = -2
The equation's answer is -2.
The complete question is:Solve the following system of equations. If there is no solution, write DNE in each coordinate of theordered triplet. If there are an infinite number of solution, write each coordinate in terms of z.2+3 = y + 12
2 + 13 = 1 +8
y - 7 = 2 - 11
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Find the equation of a line that pae through the point (-3,-2) and ha a gradient of 4. Leave your anwer in the form y = m x c
Answers
The equation of a line is y = 4x +10
What is an equation of a line?
A line's equation is a unified representation of all of the line's points. Any point on a line will satisfy the equation in its general version, which is of the type ax + by + c = 0. The slope of the line and a point on the line are the two essential elements needed to create the equation of a line.
Here, we have
Given
m = 4
x = -3
y = -2
By applying slope intercept formula, we get
Equation of line is y = 4x + c
There is one unknown term here which is c.
So to find it we will put (-2,-3) in the line.
-2 = (4)(-3) + c
c = 10
Hence the equation of a line is y = 4x +10
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slope=6 y-intercept=-3
Answers
The equation of the line with a slope of 6 and a y-intercept of -3, is y = 6x - 3
Determining the equation of a line with slope and interceptFrom the question, we are to determine the equation of the line that has the given slope and y-intercept
From the slope-intercept form of the equation of a straight line, we have that
y = mx + b
Where m is the slope
and b is the y-intercept
From the given information,
The slope of the line is 6
and
The y-intercept is -3
That is,
m = 6
b = -3
Substitute the values into the equation
y = mx + b
y = 6(x) + (-3)
Simplify
y = 6x - 3
Hence, the equation is y = 6x - 3
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I NEED HELP ASAP PLS HURRY
Answers
Answer: C
Step-by-step explanation: The slope of Function A is 6 and the slope of Function B is 5.
In a school there are 1,970 pupils. If there are 799 boys, how many more girls are there than boys?.
Answers
If in the school of 1970 pupils, there are 799 boys, there are 372 girls more than the boys.
What do you understand by linear equation?A linear equation is an equation with the maximum degree of one. No variable in a linear equation, thus, has an exponent greater than 1. The graph of a linear equation is always a straight line.
Both linear equations with one variable and those with two variables exist. This is already taught in schools. Let's use the examples below to understand how to distinguish between linear and non-linear equations.
y = 8x - 9 Linear
y = x2 - 7 Non-Linear, the power of the variable x is 2
√y + x = 6 Non-Linear, the power of the variable y is 1/2
y + 3x - 1 = 0 Linear
How to solve?
total number of pupils = 1970
number of boys = 799
number of girls = 1970 - 799 = 1171
number of girls more than the boys = 1171 - 799 = 372
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Consider the differential equation dy/dx = 2x - y. dx Find d^2 y/d x^2.\ Determine the concavity of all points in Quadrant Determine the slope of the function if f(2) = 3.
Answers
The second derivative, inflation point and slope of differential equation are explained below.
Explain differential equation.differential equation states how a pace of progress (a "differential") in one variable is connected with different factors. For example, when the position is zero (ie. the spring is neither extended nor compacted) then the velocity isn't evolving.
According to question:We have,
dy/dx = 2x-y
Suppose f'(x) = 2x - y
d^2y/dx^2 = d(2x - y)/dx
⇒ 2
(b) To find the inflection points, equate f(x) to zero and solve for x.
f"(0) =0
f" (x)=2
So, the function defined on the interval (- ∞, 2) (2, ∞)
In the interval (- ∞, 2), when x-1
f"(1)=2>0
So, the concave up wards on this interval.
In the interval (2,∞) when x=2
f"(2)=2>0
the concave up wards on this interval
Now, the slope of the function,
f(2)=3
here x-2y=3
Then, x = 2, y = 3
[tex]\frac{dy}{dx}|_{2, 3}[/tex] = 2(2) - 3 = 1
Thus, the slope of the function is 1.
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PLEASE HELP ASAP!!
Geometry Help!!
Answers
5) <OSL
Vertical pair angles are equal angles formed by intersecting lines
6) <MSN (or <LOS)
Supplementary angles are angles that add up to 180 degrees
The graph represents the relationship between the number of hours Jane babysits and the amount of money she earns.
Which of the following statement describes the graph represented?
Answers
The statement that best describes the relationship in the graph is Jane earns $8 for every hour she babysits
How to know the correct statementIn the graph, the x directions shows the number of hours. while the y directions show the amount earned
At point 1, in the x directions trace up to meet the line, then at the point of intersection with the line, trace to the left to meet the y directions
Following the description shows that at 1 hour (in x direction) the corresponding value in the y direction is $8
Therefore we say that Jane earns $8 per hour
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Write an equation of the line that passes through (18, 2) and is parallel to the line 3y−x=−12.
Answers
Answer: No solution
Step-by-step explanation:
3y - x = (3 * 2 - 18) = 6 - 18 = -12
3y - x = -12
x - 3y = 12
since parallel lines, by definition, have NO point of intersection, there is no solution.
