Show that a quadrilateral with the given vertices is a parallelogram.
When opposite sides of a quadrilateral is equal then the quadrilateral is Parallelogram. (PA = RT and PT = AR)
What is a Parallelogram ?A basic quadrilateral with two sets of parallel sides is known as a parallelogram. In a parallelogram, the opposing or confronting sides are of equal length, and the opposing angles are of equal size.
A quadrilateral is a specific type of polygon known as a parallelogram if it contains two parallel opposed sides. A parallelogram has the following qualities:
The opposing sides are equal and parallel.Angles on either side are equal.The subsequent or neighboring angles are additional.All of the angles will be at right angles if any one of them is a right angle.The two diagonals are split in half.The parallelogram is divided into two congruent triangles by each diagonal.A parallelogram's total square sum and total square sum of its diagonals are equivalent. Also known as the parallelogram law.Each coordinate of the Parallelogram :
P (-3, 0) , A(3, -1) , R ( 2, -5) and T(-4, -4)
Length of PA = √((3 + 3)² + (-1 - 0)²) = √(36 + 1) = √37
Lenght of TR = √((-4 - 2)² + (-4 + 5)²) = √(36 + 1) = √37
Length of PT = √((-3 + 4)² + (0 + 4)²) = √(16 + 1) = √17
Length of AR = √((3-2)² + (-1 + 5)²) = √(16 + 1) = √17
Here, PA = RT and PT = AR ,
so when opposite sides of a quadrilateral is equal then the quadrilateral is Parallelogram.
To learn more about Parallelogram refer to :
https://brainly.com/question/29258827
#SPJ1
When opposite sides of a quadrilateral is equal then the quadrilateral is Parallelogram. (PA = RT and PT = AR)
What is meant by quadrilateral?
A quadrilateral is a flat shape with four edges and four corners, also known as vertices. The quadrilateral has angles at each of its four vertices, or corners.The angles at the vertices of a quadrilateral ABCD are A, B, C, and D. A quadrilateral has the following sides: AB, BC, CD, and DA.There are four different types of quadrilaterals: parallelograms, squares, rectangles, and rhombuses. A parallelogram can alternatively be a square, a rectangle, or a rhombus.A quadrilateral, often known as a square, rectangle, or rhombus, is a polygon with four sides. You are currently staring at a computer screen that is most likely shaped like a quadrilateral. You'll study the quadrilateral in geometry classes.Each coordinate of the Parallelogram :
P (-3, 0) , A(3, -1) , R ( 2, -5) and T(-4, -4)
Length of PA = √((3 + 3)² + (-1 - 0)²) = √(36 + 1) = √37
Lenght of TR = √((-4 - 2)² + (-4 + 5)²) = √(36 + 1) = √37
Length of PT = √((-3 + 4)² + (0 + 4)²) = √(16 + 1) = √17
Length of AR = √((3-2)² + (-1 + 5)²) = √(16 + 1) = √17
Here, PA = RT and PT = AR ,
So when opposite sides of a quadrilateral is equal then the quadrilateral is Parallelogram.
To learn more about quadrilateral refer to
https://brainly.com/question/23935806
#SPJ1
Create an equation in point slope that goes exactly through the first three stars.
Now create another line that will help the marble capture all the stars. Use constraints on both equations to help the marble find its way.
The equation of the line is given as y = ( -2/5 )x + 162 , where the slope of the line is m = ( -2/5 )
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be represented as P ( -275 , 52 )
Let the first point be represented as P ( -280 , 54 )
Now , the slope of the line is
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 54 - 52 ) / ( -280 - ( -275 ) )
On simplifying the equation , we get
Slope m = 2 / ( -5 )
Slope m = -2/5
Now , the equation of line is y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 52 = ( -2/5 ) ( x - ( -275 ) )
y - 52 = ( -2/5 )x + 110
Adding 52 on both sides of the equation , we get
y = ( -2/5 )x + 162
Hence , the equation of line is y = ( -2/5 )x + 162
To learn more about equation of line click :
https://brainly.com/question/14200719
#SPJ1
Solve the differential equation
dR/dx = a(R^2+16)
Assume a is a non-zero constant, and use C for any constant of integration that you may have in your answer.
R=________
The solution to the differential equation is given by R = ±1/√(C-a*x), where C is a constant of integration.
To solve this differential equation, we first separate the variables and integrate the equation:
dR/dx = a(R^2+16)
∫ dR/dx = ∫a(R^2+16)dx
R = ±1/√(C-a*x) + K
where K is an arbitrary constant.
To find the constant of integration, we use the initial condition. We plug in the initial values for x and R to find the constant of integration. For example, if x = 0 and R = 2, then we get
2 = ±1/√(C-0) + K
2 = ±1/√C + K
K = 2±1/√C
Therefore, the solution to the differential equation is given by R = ±1/√(C-a*x) where C is the constant of integration.
Learn more about differential equation here:
https://brainly.com/question/14620493
#SPJ4
Kent completed his homework in 52.752 minutes. What is this number rounded to the nearest tenth? Explain how you decided.
Answer:
The answer would be 52.8 because if the number behind the decimal you want to round is 5 or greater you round one number up. (Sorry if this is a confusing explanation)
Describe two quick ways to find approximately 0.5% of $14.95.
Answer: $0.075
Step-by-step explanation:
$14.95 is roughly $15
and 0.5% is 1/2 of 1/100
1/100 of 15 is 0.15 and 1/2 of that is 0.075
0.7125
Step-by-step explanation:
soln
14.25*5%
=0.7125
*THE ANSWER IS B* Which of these correctly rearranges the terms in this polynomial so like terms are next to each other? 4-6x+2-2x² - 4x+6x² OA. 6x²-2x²+6x-4x-4+2 B. -2x²+6x² - 6x-4x+4+2 OC. 6x² - 6x-2x² - 4x+4+2 O D. 6x² - 6x-4x+4-2x²+2
[tex]4-6x+2-2x^{2} -4x+6x^{2}[/tex]
Which of these correctly rearranges the terms in this polynomial so like terms are next to each other?
The first step is to identify the same variable.
The equation consists of variables [tex]x, x^{2}[/tex] and constant.
Terms of variable [tex]x^{2}[/tex] are [tex]-2x^{2}[/tex] and [tex]6x^{2}[/tex]
Terms of variable [tex]x[/tex] are [tex]-6x[/tex] and [tex]-4x[/tex]
Terms of constant are [tex]4[/tex] and [tex]2[/tex]
The next step is rearranges the terms in this polynomial so like terms are next to each other
[tex]-2x^{2} +6x^{2} -6x-4x+4+2[/tex] (B)
Read more on polynomial here
https://brainly.com/question/29278799
#SPJ1
ap stats over the long run, what proportion of the days will the train from le havre have to wait at garde du nord for the train from troyes to arrive
The probability of the train from Le Havre having to wait at Garde du Nord for the train from Troyes to arrive on any given day is equal to the probability that the latter train is late.
This probability can be calculated using the following formula: P = (1-A)^B, where A is the average arrival time of the train from Troyes and B is the average time it takes for the train from Le Havre to depart after the first train is scheduled to arrive. The expected value of the probability can then be calculated by taking the average of this formula over the long run. For example, if the train from Troyes is typically 5 minutes late and the train from Le Havre leaves 10 minutes after it is due to arrive, the expected probability of a delay is (1-5/60)^(10/60) = 0.7355. Therefore, over the long run, the train from Le Havre will have to wait for the train from Troyes to arrive 73.55% of the time.
Learn more about probability here:
https://brainly.com/question/30034780
#SPJ4
On Saturday, 55% of the 200 people at Cordova Skating Rink brought their own skates. How many people did NOT bring their own skates?
Answer:
If 55% of people brought their own skates, 45% did not.
Since 100 - 55 = 45.
45% of 200 = 90
The answer is: 90 people didn't bring their skates.
Use areas to evaluate 4xdx where 0 < a
Integration is basically used to find the areas of the two-dimensional region and computing volumes of three-dimensional objects.
What is integration?
In mathematics, an integral lends numerical values to functions to represent concepts like volume, area, and displacement that result from combining infinitesimally small amounts of data. Integration is the action of locating integrals.
Differentiation is the opposite of integration.
In other words, reversing the differentiation process merely results in integration. The example below demonstrates it:
dy/dx = 2x since y = x2 Consequently,
(dy/dx) dx = 2x dx = x2.
Together, and dx represent the integration of the function with respect to x.
The anti-differentiation is another name for integration. In this procedure, we are given a function's derivative and asked to determine the function (i.e., primitive). We are aware that cos x is the differentiation of sin x.
Learn more about integration refer to :
brainly.com/question/22008756
#SPJ4
b) Prabin types 765 words in 9 minutes. How many words would he type in half an hour? How long does he take to type 12,750 words at the same speed?
Answer:
Prabin types 765/9 i.e, 85 words in one minute. Therefore in 30 minutes prabin will type 30 x 85 i.e., 2550 words. Again, he types 1 word in 9/765 minutes. Therefore , he will type 12750 words in 12750 x (9/765) minutes, i.e, 150 minutes.
Prabin would type 2,550 words in half an hour at the same speed. It would take him 150 minutes to type 12,750 words at the same speed.
Explanation:To find out how many words Prabin would type in half an hour, we need to determine how many minutes are in half an hour. Since there are 60 minutes in an hour, half an hour would be 30 minutes. Now, we can set up a proportion to find the number of words Prabin would type in half an hour:
765 words / 9 minutes = x words / 30 minutes
Cross-multiplying, we get:
9 * x = 765 * 30
Simplifying, we find:
x = (765 * 30) / 9
x = 2,550 words
To find out how long it would take Prabin to type 12,750 words at the same speed, we can set up another proportion using the given information:
765 words / 9 minutes = 12,750 words / t minutes
Cross-multiplying, we get:
9 * (12,750) = 765 * t
Simplifying, we find:
t = (9 * 12,750) / 765
t = 150 minutes
Learn more about Word typing speed here:https://brainly.com/question/35205919
#SPJ2
what is ,3.7-3.4-2n+8=?
3.7-3.4-2n+8 = -0.3-2n+8 = 8-2n-0.3 = 8-0.3-2n = 7.7-2n
So, 3.7-3.4-2n+8 = 7.7-2n
Pearl collected some rare coins. Tate collected 20 times as many rare coins. Tate collected 120 rare coins. How many rare coins did Pearl collect?
Answer:
120/20=6 pearl collected 6
Step-by-step explanation:
If Tate collected 20 times as many rare coins as Pearl, we can set up a proportion to find out how many coins Pearl collected. Let x be the number of rare coins Pearl collected. Then we have:
x / 120 = 1 / 20
To solve for x, we can cross-multiply:
20x = 120
Dividing both sides by 20, we get:
x = 6
Therefore, Pearl collected 6 rare coins.
Find the circumference of a circle with a diameter of 36 units.
Answer:
Circumference = 113.097 units
Step-by-step explanation:
C = 2[tex]\pi r[/tex]
C = 2(3.14)(36/2)
C = 113.097 units
What is the area of the triangle below? A. 48 square meters B. 7 square meters C. 96 square meters D. 24 square meters
The area of the triangle is 24 square meters.
The area of the triangle can be calculated using the formula A = 1/2bh, where b is the base and h is the height of the triangle. In this case, the base is 8 meters and the height is 6 meters. Therefore, the area of the triangle is A = 1/2bh = 1/2(8)(6) = 24 square meters. Therefore, the answer is D. 24 square meters.
To calculate the area of the triangle, first the base and the height of the triangle must be known. The base is the length of the bottom line of the triangle, and the height is the length of the line from the peak of the triangle to the base. Once the base and height of the triangle are known, the area formula A = 1/2bh can be used.
The formula can be broken down into several steps. First, the base and the height are multiplied together. In this case, it would be 8 x 6. This gives a result of 48. Then, the result is divided by 2, which gives a result of 24. Therefore, the area of the triangle is 24 square meters. When using the area formula, it is important to remember that the result must be divided by 2 in order to get the correct answer.
Learn more about area of the triangle here:
https://brainly.com/question/19305981
#SPJ4
In a particular game, a fair die is tossed. If the number of spots showing is either 4 or 5, you win $1, if the number of spots showing is 6, you win $4, and if the number of spots showing is 1, 2, or 3, you win nothing. Let X be the amount that you win. The expected value of X is
(a) $0.00
(b) $1.00
(c) $2.50
(d) $4.00
(e) $6.00
The amount that you when a fair dice is tossed (showing is either 4 or 5, you win $1, if the number of spots showing is 6, you win $4, and if the number of spots showing is 1, 2, or 3, you win nothing) is $1.00
Given,
when you get either 4 or 5, the reward = $1
when you get either 6, the reward = $4
when you get 1, 2, or 3, the reward = $0
We know that,
Probability of getting 6 = 1/6
Probability of getting 4 = 1/6
Probability of getting 5 = 1/6
Probability of getting 1 = 1/6
Probability of getting 2 = 1/6
Probability of getting 3 = 1/6
Therefore,
[tex]X = \frac{1}{6}* 4 + \frac{1}{6}* 1 +\frac{1}{6}* 1+ \frac{1}{6}* 0+ \frac{1}{6}* 0 + \frac{1}{6}*0[/tex]
[tex]= \frac{4}{6} + \frac{1}{6}+ \frac{1}{6}[/tex]
[tex]= \frac{6}{6}[/tex]
[tex]= 1[/tex]
Hence, the Value of X = $1.
Learn more about probability:
https://brainly.com/question/30034780
#SPJ4
A line passes through the point (2, -8) and has a slope of -5.
Write an equation in slope-intercept form for this line.
Answer:
y=-5x+b
Steps:
1. Put slope into y=mx+b formula
2. Plug in point: -8=-5(2)+b
3. Solve for b: 2=b
a sample of 4 differnet calculators is randomly selected from a group containing 16 that are defective and 30 that have no defects
the probability of all calculators having no defects is 16.8%. the probability of at least one defect is 83.2%.
A sample of 4 different calculators is randomly selected from a group of 16 defective and 30 non defective calculators,
So, we have to find the probability that at least one of 4 calculators in the sample is defective.
total number of calculators= 46.
the probability of one calculator being non defective is 30/46.
when a second is chosen the probability of having non defective is 29/45.
the probability of no defective in the third is 28/44
and the fourth is 27/43.
the probability of non-defective in any one of the
calculators is found by multiplying the individual probability.
[tex](\frac{30}{46})(\frac{29}{45} ) (\frac{28}{44} )(\frac{27}{43} ) =0.168.[/tex]
the probability of of all calculators having no defects is 16.8%. the probability of at least one defect is 83.2%.
learn more about probability.
https://brainly.com/question/30034780
#SPJ4
Using the slope formula, find the slope of the line through the points (0,0) and (4,12) . Use pencil and paper. Explain how you can use mental math to find the slope of the line.
By using the slope formula, the slope of the line through the points (0, 0) and (4, 12) is equal to 3.
You can use mental math to find the slope of the line by simply dividing 12 by 3 because the line passes through the origin (0, 0).
How to calculate the slope of a line?In Mathematics and Geometry, the slope of any straight line can be calculated by using this this mathematical equation (expression);
Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
From the information provided above, we have the following data points located on the line:
Points on x-axis = (0, 4).Points on y-axis = (0, 12).Substituting the given points into the slope formula, we have the following;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (12 - 0)/(4 - 0)
Slope (m) = 12/4
Slope (m) = 3.
In conclusion, an equation which represents this line is y = 3x.
Read more on slope here: brainly.com/question/3493733
#SPJ1
I will give brainliest to whoever answers this correctly.
Answer:
60.26°
i have to write more so yea but do you have the answer to 83d and 91c from that chapter
The expression represents the amount of change you receive after buying »sandwiches. Match each part of the expression to what it represents 10 − 5.25m.
All parts of the expression 10 − 5.25m have been matched with their respective quantities below.
The given expression belongs to a certain mathematical category which is linear equations. A linear equation is an equation that can be used to denote and solve problem sums. It is an equation in which the highest power of the variable is always 1. The standard form of a linear equation in one variable is the form Ax + B = 0. Here, x is a variable quantity, A is a coefficient and B is constant.
Here, 10 = the amount of money that you have
5.25 = Price of each sandwich
n = No. of sandwiches
5.25 = Total cost
The complete question that you might be looking for has been attached below.
Learn more about Linear Equations on
https://brainly.com/question/11897796?referrer=searchResults
#SPJ4
24[1/2]+2[7] divided by 1/4[8]
The value of the fraction 24(1/2 + 2/7) divided by 1 4/8 will be 16 3 / 7.
How to calculate the fraction?A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.
The value of the fraction 24(1/2 + 2/7) divided by 1 4/8 will be:
= 24(1/2 + 2/7) ÷ 1 4/8:
= 24 9/14 ÷ 1 1/2
= 345 / 14 × 2/3
= 690 / 42
= 16 3 / 7
Learn more about Fraction on:
brainly.com/question/78672
#SPJ
Complete question
24(1/2 + 2/7) divided by 1 4/8 will be:
The table shows the number of students graduating from an online university in selected year . Use a calculator to write a cubic model for the number of graduates in a given year since 2002. Then use the model to estimate the number of graduates in 2008.
There were approximately 5,184 graduates in 2008.
The cubic model is a useful tool for estimating the number of graduates in a given year, as it takes into account the trend of the data points. This allows us to make an educated guess about the number of graduates in a given year, despite not having data points for that year.The cubic model for the number of graduates from an online university since 2002 can be expressed as y = -7.8x^3 + 74.4x^2 + 437x - 9,150. Here, x is the number of years since 2002, and y is the number of graduates in that year. To estimate the number of graduates in 2008, we can plug in x = 6 into the equation, giving us y = 5,184. That is, there were approximately 5,184 graduates in 2008.
Learn more about cubic model here:
https://brainly.com/question/23134736
#SPJ4
In the lab, Linda has two solutions that contain alcohol and is mixing them with each other. Solution A is 50% alcohol and Solution B is 10% alcohol. She us
400 milliliters of Solution A. How many milliliters of Solution B does she use, if the resulting mixture is a 20% alcohol solution?
We can start by using the concept of percentage concentration, which states that the percentage of alcohol in a solution is equal to the number of milliliters of alcohol in the solution divided by the number of milliliters of the solution, multiplied by 100.
Let's call the number of milliliters of Solution B that Linda uses x.
We know that:
Solution A is 50% alcohol, so it contains 50/100 = 0.5 = 1/2 of alcohol.
Solution B is 10% alcohol, so it contains 10/100 = 0.1 = 1/10 of alcohol.
The resulting mixture is a 20% alcohol solution.
Linda uses 400 milliliters of Solution A.
We can set up an equation using the percentage concentration concept and the information provided:
(400 * 1/2) + (x * 1/10) = (x + 400) * (20/100)
Solving for x:
200 + x/10 = (x + 400) * 0.2
x/10 = (x + 400) * 0.2 - 200
x/10 = x * 0.2 + 80
9x/10 = x * 0.2 + 80
9x = x*2 + 800
x = 800/8 = 100
So, Linda uses 100 milliliters of Solution B to make the resulting mixture a 20% alcohol solution.
ANSWER ALL PLEASE!!!
The units of distance and speed should match, So kilometers per hour (kph) and miles per hour (mph) are the correct units.
What is speed and find all the given questions?Angel ran 5 kilometers. It took him 16 minutes.Distance: 5 kilometersTime: 16 minutesSpeed: Distance/Time = 5 kilometers / (16 minutes / 60 minutes/hour) = 5 kilometers / 0.2667 hours = 18.67 kilometers/hour or 18.67 kphPedro bicycled for 30 minutes. He went 6 kilometers.Distance: 6 kilometersTime: 30 minutesSpeed: Distance/Time = 6 kilometers / (30 minutes / 60 minutes/hour) = 6 kilometers / 0.5 hours = 12 kilometers/hour or 12 kphRandy drove his new corvette to San Francisco, which is 280 miles to the North. It took him 6 hours.Distance: 280 milesTime: 6 hoursSpeed: Distance/Time = 280 miles / 6 hours = 46.67 miles/hour or 46.67 mphSarai flew her fighter jet for 60 minutes, flying 1000 miles to the East.Distance: 1000 milesTime: 60 minutesSpeed: Distance/Time = 1000 miles / (60 minutes / 60 minutes/hour) = 1000 miles / 1 hour = 1000 miles/hour or 1000 mphNatalie flew her hot air balloon to Japan, which is 3500 miles away. It took her 6 days.Distance: 3500 milesTime: 6 daysSpeed: Distance/Time = 3500 miles / (6 days * 24 hours/day) = 3500 miles / 144 hours = 24.31 miles/hour or 24.31 mphTo earn more about speed refer:
brainly.com/question/13943409
#SPJ1
Differentiation question pls help
A stationary point of a function f(x) is a point where the derivative of f(x) is equal to 0. These points are called “stationary” because at these points the function is neither increasing nor decreasing.
How do you find stationary points f XY?Once we have identified the dy dx = 0 solutions, we may utilise the first derivative to ascertain the characteristics of the stationary points. Think about the equation y = x2 + 1.
By differentiating and setting the derivative to zero, we may determine that there is a stationary point at x = 0 since dy dx = 2x = 0. Recall that placing f by x and f by y equal to zero will reveal the location of a function f's stationary point.
In this situation, partial differentiation with regard to x while treating y as a constant results in three x squared plus six x. Any stationary point's nature can be ascertained by introducing its x coordinate into the second derivative of the function, f. (x).
To learn more about stationary points refer to :
https://brainly.com/question/22575515
#SPJ1
A garden hose can fill a swimming pool in 7 days, and a larger hose can fill the pool in 4 days. How long will it take to fill the pool if both hoses are used?
Hose 1 takes 7 days.
Hose 2 takes 4 days.
That means in a single day, Hose 1 fills 1/7 of the pool and Hose 2 fills 1/4 of the pool. So in one day, the two hoses will fill 1/7 + 1/4 of the pool.
If t is the number of days it takes to fill the pool with both hoses being used, then
[tex]t\cdot \left(\dfrac{1}{7} + \dfrac{1}{4}\right) =1[/tex]
will tell us how many days it will take to fill 1 pool
Solving this:
[tex]\begin{aligned} t\cdot \left(\dfrac{1}{7}\cdot\dfrac{4}{4} + \dfrac{1}{4}\cdot \dfrac{7}{7}\right) &=1 \\[0.5em]t\cdot \left(\dfrac{4}{28} + \dfrac{7}{28}\right) &=1 \\[0.5em]t\cdot \left(\dfrac{11}{28} \right) &=1 \\[0.5em]t &=\dfrac{28}{11} \\[0.5em]\end{aligned}[/tex]
It'll take 28/11 days, or 2 and 6/11 days, or about 2.54 days.
i need help solving #16 I have no idea how to do it
Answer:
d. 9x^2 + 25x + 14
Step-by-step explanation:
Formula of area of a rectangle is L * W;
L being length
W being width
x + 2 is our W
9x + 7 is our L, thus;
(x+2)(9x+7)
[9x^2 + 25x + 14]
The sum of two numbers is 1476890. If the difference between the two numbers is 1500, what is the greater number ?
Let's call the two numbers x and y. We know from the problem statement that:
x + y = 1476890
y - x = 1500
To find the greater number, we can use the second equation to solve for one of the variables, and then substitute it into the first equation.
y = x + 1500
Now we can substitute this expression for y into the first equation:
x + (x + 1500) = 1476890
2x + 1500 = 1476890
2x = 1476890 - 1500
2x = 1475390
x = 1475390/2
x = 737695
So the greater number is y = x + 1500 = 737695 + 1500 = 739195
To Know more about Algebra
https://brainly.com/question/4344214
values differ from norms in that values: group of answer choices remain constant and do not change over time. are established rules of behavior or standards of conduct. can be categorized into folkways, mores, and laws on the basis of their social importance. do not state explicitly how people should behave.
There are four types of social norms that can help inform people about behavior that is considered acceptable: folkways, mores, taboos, and law.
Social values are the focus of sociology. Cultural norms known as social values describe the overall well-being thought desirable for a structured social existence. These presumptions concern what is morally correct and significant for society. They provide social structures and behavior its ultimate meaning and legitimacy. They are ideals or abstract feelings. "Equality of opportunity" is a prime illustration of social value. It is frequently regarded as a desirable end in and of itself.
When several people interact, a set of norms emerges that governs their interactions and behaviors. Social norms are these standards of group behavior.
Learn more about Social norms
https://brainly.com/question/1278457
#SPJ4
Use left rectangles and Δ x = 0.5 to approximate the area under f ( x ) = 2 x 2 + 6 from x = 2 to x = 4 . Give one decimal place in your answer.
The approximation of the area under the curve f(x) = [tex]2x^2 + 6[/tex] from x = 2 to x = 4 using left rectangles and a step size of Δx = 0.5 is 60.5 square units to one decimal place.
To approximate the area under the curve f(x) = [tex]2x^2 + 6[/tex] between x = 2 and x = 4 using left rectangles and a step size of Δx = 0.5, we have to divide the interval [2, 4] into a number of sub-intervals of width 0.5 and evaluate the function at the left endpoint of each sub-interval.
First find the number of steps: (4-2)/0.5 = 4
The x-coordinates for the left endpoints of each sub-interval are: 2, 2.5, 3, 3.5, 4
We evaluate the function f(x) = [tex]2x^2 + 6[/tex] at each of these left endpoints and multiply the result by the width of the sub-interval (0.5) to find the area of each rectangle.
For [tex]x = 2[/tex], [tex]f(x) = 2(2)^2 + 6 = 14[/tex]
Area = 0.5 * 14 = 7
For [tex]x = 2.5, f(x) = 2(2.5)^2 + 6 = 19.5[/tex]
Area = 0.5 * 19.5 = 9.75
For [tex]x = 3, f(x) = 2(3)^2 + 6 = 24[/tex]
Area = 0.5 * 24 = 12
For [tex]x = 3.5, f(x) = 2(3.5)^2 + 6 = 29.5[/tex]
Area = 0.5 * 29.5 = 14.75
For [tex]x = 4, f(x) = 2(4)^2 + 6 = 34[/tex]
Area = 0.5 * 34 = 17
The sum of the areas of these rectangles is 7 + 9.75 + 12 + 14.75 + 17 = 60.5
Therefore, the approximation of the area under the curve f(x) = [tex]2x^2 + 6[/tex] from x = 2 to x = 4 using left rectangles and a step size of Δx = 0.5 is 60.5 square units to one decimal place.
To learn more about the area under the curve:
https://brainly.com/question/15122151
#SPJ4
