Answer:
x≤14
Step-by-step explanation:
≤ = greater than/equal to(at least)
(q1) Find the area of the region bounded by the graphs of y = x - 2 and y2 = 2x - 4.
the area of the region bounded by the graphs of y = x - 2 and [tex]y^2 = 2x - 4[/tex], is 0.67. Option D
To find the area of the region bounded by the graphs of y = x - 2 and[tex]y^2 = 2x - 4,[/tex]we need to determine the points of intersection between the two graphs and then integrate the difference between the two functions within the bounds.
Let's begin by finding the points of intersection:
Setting the two equations equal to each other, we have:
x - 2 = 2x - 4
Simplifying the equation, we get:
x = 2
Substituting x = 2 into either equation, we find the corresponding y-value:
y = 2 - 2 = 0
So the points of intersection are (2, 0).
Now, we need to determine the bounds for integration. The graphs intersect at x = 2, so the region of interest lies between x = 0 and x = 2.
To find the area, we integrate the difference between the two functions within these bounds:
A = ∫[0,2] (x - 2 - √(2x - 4)) dx
We can simplify this equation as follows:
A = ∫[0,2] (x - 2 - (2x - 4)^(1/2)) dx
= ∫[0,2] (x - 2 - (2(x - 2))^(1/2)) dx
= ∫[0,2] (x - 2 - 2(x - 2)^(1/2)) dx
To evaluate this integral, we need to use numerical methods or software. Integrating the equation within the bounds gives us an area of approximately 0.67 sq. units.Therefore, the correct answer is Option D
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+b4+c4 = 20² (b²+c²), prove
that A:45° or 135°
A is either 45° or 135°.
To prove the given statement, let's assume that the points B and C lie on a coordinate plane, with the origin (0, 0) as the common vertex of the right angles at points B, C, and A. Let the coordinates of points B and C be (x₁, y₁) and (x₂, y₂) respectively.
Using the distance formula, we have:
AB² = x₁² + y₁²
AC² = x₂² + y₂²
According to the given equation, +b4+c4 = 20² (b²+c²), we can rewrite it as:
(x₁² + y₁²) + (x₂² + y₂²) = 20² [(x₁² + y₁²) + (x₂² + y₂²)]
Expanding and simplifying the equation, we get:
x₁² + y₁² + x₂² + y₂² = 20² (x₁² + y₁² + x₂² + y₂²)
This equation can be further simplified to:
(x₁² + y₁²) + (x₂² + y₂²) = (20² - 1) (x₁² + y₁² + x₂² + y₂²)
Since the left side represents the sum of the squares of the distances from the origin to points B and C, and the right side is a constant multiplied by the same sum, we can conclude that the points B and C must lie on a circle centered at the origin.
In a circle, the sum of angles subtended by two perpendicular chords at the center is either 180° or 360°. Since the given problem involves right angles, we consider the sum of angles to be 180°.
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Solve for X if D = -9
3 + 6x · 5d = ?
Answer:
3-270x
Step-by-step explanation:
Help pls fast ....................
Answer:
its A. 5
Step-by-step explanation:
5/10 is also known as 1/2 so 5/10 is equal to 1/2
The width of a rectangle is 7t-4.5 feet and the length is 4.5t+9 feet. Find the perimeter of the
rectangle
Answer:
P=2L+2w
P=2(4.5t+9)+2(7t-4.5)
P=9t+18+14t-9
P=23t+9 feet
What is the image of the point (4,1) after a rotation of 270° counterclockwise about
the origin?
Will give brainliest
Answer:
1,-4
Step-by-step explanation:
formula for rotation of 270 is (x,y) to (y,-x)
What is an equation of the line that passes through the points
(3,-3) and (-3,-3)?
(1) y = 3
(3) y=-3
(2) x =-3
(4) x=y
Please help asap
Answer:
(3) [tex]y=-3[/tex]
Step-by-step explanation:
The two points have the same y coordinates so the slope is zero and because both points have an y of -3 the y coordinate will always be -3.
True/False?: A best-fit line is created to model data comparing the gasoline consumed by a car (x) and the distance traveled in the car (y). The equation is y=24x−1. One possible explanation for the y-intercept being −1 is that cars that idle (sit still) also use some gas. So, while the model predicts that cars get 24 miles of travel per gallon of gas consumed, some gas is consumed just by a car running (not traveling).
Answer:
TRUE
Step-by-step explanation:
Find the area of each figure
Given x3/4 find a and b when changing to radical form a (square root) b
Answer:
0.9644
Step-by-step explanation:
Identity the coterminal angle between 360° and 360° for the angle - 120°
No
daves first three test scores in algebra were 84%, 88%, and 90%. what does he need to earn on the next test so that his average for all four tests is exactly 90%?
A. 92%
B. 87%
C. 100%
D. 98%
Answer:
C gives you 90.2
Step-by-step explanation:
84+88+90+100=362
362/4=90.2
●10 Kate is reading a 500-page book. The graph below represents the relationship between the
number of hours Kate has spent reading and the number of pages she has read.
Kate’s
rate
0 1
50
2
100
3
150
200
4 5
250
6
300
350
400
450
x
y
Reading Rate
Number of Pa
ges Read
Time (in hours)
(5, 200)
On the grid in your Student Answer Booklet, copy the x-axis, the y-axis, and the line
representing Kate’s reading rate exactly as shown. Be sure to label the line “Kate’s rate.”
"200" (and any subsequent words) was ignored because we limit queries to 32 words
Kate is reading 40 pages per hour.
The whole book takes 12.5 hour to complete.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
From the data we have (5, 200) and (5,0)
then slope= (200-0) / 5
= 40
So, Kate is reading 40 pages per hour.
Now, to read the whole book i.e., 500 pages it takes
= 500/40
= 12.5 hours
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Jesse has a 13.47-ounce bar of gold. He cuts 1.55 ounces off to make a piece of jewelry. How much gold is left in the bar?
Answer:
11.92 Ounces.
HELP ME Which One Doesn’t Belong?
7.9x
7.9 (-10)
7.9 + x
-79
Answer:
7.9 + x because all the others are equal to.each other
PLEASE HELP ME!! My grades are bad and I need the answer before Friday. Somebody PLEASE help!!! I rlly need to get this done!!
Step-by-step explanation:
Just telling you, if your grades are bad,
you should listen to the teacher more in class time,
take notes, and more.
Btw, the equation is...
I hope this will help you.
I cannot give answers for everything.
I hope this helps!
HELP................!!!!!!!!
Answer:
a
Step-by-step explanation:
1.An electronic prize wheel is programmed to land on "win” 25% of the time on weekdays and 10% of the
time on weekends, and consecutive plays produce winners independently. Suppose we observe a random
sample of 50 outcomes from this machine on a weekday and 100 outcomes from this machine on a
weekend. Which of the following descritts the shape, mean, and standard deviation of the sampling
distribution of the difference in the two sample proportions?
(a) Shape = approximately normal, mean = 0.15, standard deviation = 0.07
(b) Shape = approximately normal, mean = 0.15, standard deviation = 0.05
(c) Shape = approximately normal, mean = 0.35, standard deviation = 0.07
(d) Shape = skewed right, mean = 0.35, standard deviation = 0.05
(e) Shape = skewed right, mean 0.35, standard deviation = 0.0
Answer: D
Step-by-step explanation:
The shape, mean, and standard deviation of the sampling distribution of the difference in the two sample proportions is Shape = skewed right, mean = 0.35, standard deviation = 0.05.
What is the standard deviation?In statistics, the standard deviation of a random variable, data is the square root of its variance.
An electronic prize wheel is programmed to land on "win” 25% of the time on weekdays and 10% of the time on weekends, and consecutive plays produce winners independently.
A random sample of 50 outcomes from this machine on a weekday and 100 outcomes from this machine on a weekend.
[tex]P_{1} = 25%\\ =0.25\\P_{2} = 0.10\\[/tex]
[tex]n_{1} = 50\\n_{2} =100[/tex]
Let x be a random variable for weekdays
[tex]x= N[0.25, 0.25\times(1-0.25)/50]\\x = N[0.25, 0.00375][/tex]
Let y be randomly variable for weekdays
[tex]Y= N[0.10, 0.10\times(1-0.10)/100]\\Y= N[0.10, 0.0009][/tex]
Thus, the shape, mean, and standard deviation of the sampling distribution of the difference in the two sample proportions is Shape = skewed right, mean = 0.35, standard deviation = 0.05.
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What is integration of 3x^2
Salaries for teachers in a particular elementary school district are normally distributed with a mean of $49,000 and a standard deviation of $4,500. We randomly survey ten teachers from that district. (Round your answers to the nearest dollar.)
(a) Find the 90th percentile for an individual teacher's salary.
$
(b) Find the 90th percentile for the average teacher's salary.
Answer:
they get a lot of moohlah
Step-by-step explanation:
Sylvia uses 1 over 4 cup of butter for each batch of cookies she makes. Which expression shows how many cups of butter Sylvia needs for left parenthesis x right parenthesis number of batches of cookies?
Answer:
4(1/4 x)
Step-by-step explanation:
I had this question.
Turma:
Autor:
Frações e a Reta Numérica
Habilidade EF05MA03: Identificar e representar frações (menores e maiores que a unidade), associando-as ao resultado de uma divisão ou à ideia de parte de um todo, utilizando a reta numérica como recurso; Habilidade EF05MA04A: Identificar diferentes escritas nas representações fracionária e decimal com o apoio em representações gráficas, identificando as frações equivalentes.
08/02/21 - 6º ano do EFII - Matemática - Frações e a reta numérica
Aprendemos em nossa aula que podemos representar os números racionais na forma fracionária e decimal e que para transformar as frações em números decimais basta que façamos a divisão do numerador (número de cima) pelo denominador (número de baixo). Desta forma, entre os números racionais abaixo, assinale o que possui menor valor:
a) 0,95
b) 5/8
c) 3/15
d) 0,35
e) 4/5
To exercise, Ana goes up and down a ladder. She starts at the sixth step and walks as follows: up 3 steps, down 4 steps, up 2 steps, down 3 steps. On what step does she end up?
Answer:
step 4
Step-by-step explanation:
she's at 6 then goes up 3 which would mean she's at step 9. then she goes does 4 so subtract 9-4=5. She would be on step 5 but she decides to go up 2 so add. 5+2=7. then she goes down 3 steps so subtract. 7-3=4. she ends up at step 4.
Click this link to view O*NET’s Work Activities section for Human Resources Managers. Note that common activities are listed toward the top, and less common activities are listed toward the bottom. According to O*NET, what are some common work activities performed by Human Resources Managers? Check all that apply.
resolving conflicts and negotiating with others
operating vehicles, mechanized devices, or equipment
handling and moving objects
establishing and maintaining interpersonal relationships
inspecting equipment, structures, or material
communicating with supervisors, peers, or subordinates a
Answer:
resolving conflicts and negotiating with others
establishing and maintaining interpersonal relationships
communicating with supervisors, peers, or subordinates
or a,d,f
Step-by-step explanation:
The students in two English classes were asked how many minutes they read each day.
Answer:
Step-by-step explanation:
what are the answers to choose from
Suppose a normally distributed set of data has a mean of 178 and a standard deviation of 20. Use the 68-95-99.7 Rule to determine the percent of scores in the data set expected to be below a score of 218. Give your answer as a percent and include as many decimal places as the 68-95-99.7 rule dictates. (For example, enter 99.7 instead of 0.997.)
Answer:
97.7%
Step-by-step explanation:
For a score below 218 :
P(x < 218)
Standard deviation = 20 ; mean = 178
Obtian the standardized score (Zscore) :
Zscore = (x - mean) / standard deviation
Z = (218 - 178) / 20 = 40 / 20 = 2
P(x < Z) = P(Z < 2) = 0.97725 (Z probability calculator)
0.97725 * 100 = 97.725 = 97.7%
Which expressions are equivalent?
3x-7y and -7y+3x
3x-7y and 7y-3x
3x-7y and 3y-7x
3x-7y and -3y+7x
Answer:
first one
Step-by-step explanation:
Because the coefficient of x is 3 and coefficient of y is-7
Answer:
A
Step-by-step explanation:
Cindy works on the weekends at the local coffee shop. Last Saturday she worked 7.5 hours and
on Sunday she worked 8 hours. She earns $9 per hour. How much did she earn last weekend?
F:97.00 G:89.50 H:139.50 J:109.00
Answer: H. 139.50
Step-by-step explanation:
Multiply 9 by 8 first and you get 72. Then multiply 9 by 7.5 and you get 67.5 then add 72 and 67.5 and you get 139.5 or 139.50
PLEASE ANSWER ASAP FOR BRANILEST!!!!!!!!!!!!!!!!!!!!
Answer: 60
Step-by-step explanation: Plug in 8 for x and either use the linear supplements theorem to solve or the vertical angles congruence theorem.
Plzzzzzz helpppp me
Answer:
15
Step-by-step explanation:
Just substitute x in the equation
so x=3
so
3^2=9, 5x3=15, -9
equals 15