The graph of the function y = x is shown and the data of the function is tabulated below.
The graph is a demonstration of curves that gives the relationship between the x and y-axis.
Here,
Let's assume the function,
f(x) = x or y = x
Now,
the graph of the function is shown,
and data is given as,
put x = 1,
so
y = 1
Similarly,
Other values can be obtained as y = 2, 3 , 4 for x = 2, 3, 4
Now the table is given as
x y
1 1
2 2
3 3
4 4
Thus, the graph of the function y = x is shown and the data of the function is tabulated above.
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Can anyone help me with this?
Answer:
59.7%
Step-by-step explanation:
A of Circle = 50.24 sq. inches
A of Rectangle = 30 sq. inches
30 ÷ 50.24 × 100 = 59.71%
Not so sure though
Work out volume of pyramid
well, from the picture above, we can see it has a height of 24.4 cm and a 17.2x17.2 cm² base.
\(\textit{volume of a pyramid}\\\\ V=\cfrac{Bh}{3} ~~ \begin{cases} B=\stackrel{base's}{area}\\ h=height\\[-0.5em] \hrulefill\\ h=24.4\\ B=\stackrel{17.2\times 17.2}{295.84} \end{cases}\implies V=\cfrac{(295.84)(24.4)}{3}\implies V\approx 2406.17~cm^3\)
Answer:
V = 2,406 cm
Step-by-step explanation:
The formula in the picture
kristin boards a ferris wheel at the 3 -o'clock position and rides the ferris wheel for one full rotation as shown. the ferris wheel's radius is 13 meters long. let s represent the distance kristin has traveled along the circular path since the ride started (in meters). imagine an angle centered at the ferris wheel's center that subtends the path kristin travels.
Kristin boards a ferris wheel with a radius of 13 meters at the 3-o'clock position and rides it for one full rotation. To represent the distance Kristin has traveled along the circular path since the ride started, we use s. We are asked to imagine an angle centered at the ferris wheel's center that subtends the path Kristin travels. This can be solved by the concept of Circles.
Let's start by drawing a diagram of the situation. We draw a circle with a radius of 13 meters to represent the ferris wheel. We place Kristin at the 3-o'clock position on the circle. To represent the distance Kristin has traveled, we draw a line segment from the center of the circle to a point on the circle where Kristin currently is. Let's call this point P. We label the length of this line segment as s.
Now, we know that Kristin rides the ferris wheel for one full rotation. This means that the ferris wheel also makes a full rotation. Therefore, the angle subtended by the path Kristin travels is 360 degrees.
To find the length of s, we need to use some trigonometry. We can see that triangle OAP (where O is the center of the circle) is a right-angled triangle, with OA being the radius of the circle and OP being s. We can use the Pythagorean theorem to find the length of AP:
AP^2 = OA^2 - OP^2
AP^2 = 13^2 - s^2
AP = sqrt(169 - s^2)
Now, we can use trigonometry to find the length of s. We know that the angle subtended by the path Kristin travels is 360 degrees, or 2π radians. Therefore, the angle subtended by arc AP is also 2π radians. We can use the formula for the length of an arc:
length of arc = radius x angle in radians
So, we have:
AP = radius x angle in radians
sqrt(169 - s^2) = 13 x 2π
169 - s^2 = 169π^2
s^2 = 169 - 169π^2
s ≈ 19.6 meters
Therefore, Kristin travels approximately 19.6 meters along the circular path during the ride.
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For sigma-summation underscript n = 1 overscript infinity endscripts startfraction 0.2 n over 0.8 endfraction, find s3= . if sigma-summation underscript n = 1 overscript infinity endscripts startfraction 0.2 n over 0.8 endfraction = 0.3125, the truncation error for s3 is .
To find the value of s3 in the given sigma summation series and calculate the truncation error, let's first analyze the series and determine its pattern.
The series can be written as:
s = (0.2 * 1) / 0.8 + (0.2 * 2) / 0.8 + (0.2 * 3) / 0.8 + ...
We notice that each term in the series has the form (0.2 * n) / 0.8. We can simplify this expression by dividing both the numerator and denominator by 0.2:
s = n / 4
Now, let's calculate s3 by substituting n = 3:
s3 = 3 / 4
s3 = 0.75
So, the value of s3 in the series is 0.75.
Now, let's calculate the truncation error. The truncation error is the difference between the actual sum of the series and the sum obtained by truncating or stopping at a certain term.
Given that the series sum is 0.3125 and we have s3 = 0.75, we can calculate the truncation error:
Truncation error = |Actual sum - Sum truncated at s3|
Truncation error = |0.3125 - 0.75|
Truncation error = |-0.4375|
Truncation error = 0.4375
The truncation error in this case is 0.4375.
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help asap if you can pls!!!!!
Answer:
SAS, because vertical angles are congruent.
in frame of reference s, an electron moving along the x-axis has energy 4mc^2 what is the momentum magnitude observed in frame s'
The momentum magnitude observed in frame s' is √(15m^2c^4).
In special relativity, the relationship between energy (E) and momentum (p) is given by the equation:
E^2 = (pc)^2 + (mc^2)^2
where m is the rest mass of the particle, c is the speed of light, and p is the momentum of the particle.
In frame of reference s, the energy of the electron is given as 4mc^2. Plugging this into the equation, we have:
(4mc^2)^2 = (pc)^2 + (mc^2)^2
Simplifying this equation, we get:
16m^2c^4 = p^2c^2 + m^2c^4
Canceling out the common terms, we have:
15m^2c^4 = p^2c^2
Taking the square root of both sides, we get:
pc = √(15m^2c^4)
The momentum magnitude observed in frame s', denoted as p', is related to the momentum in frame s (p) by the relativistic velocity addition formula:
p' = γ(p - βE/c)
where γ is the Lorentz factor and β is the velocity of frame s' relative to frame s. Since the electron is moving along the x-axis, the velocity β is zero, and the Lorentz factor γ is equal to 1.
Therefore, the momentum magnitude observed in frame s' is the same as the momentum magnitude in frame s:
p' = p
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May I please receive help?
Please?
Step-by-step explanation:
I dont know if they are perpendiculars. but i do know that they are NOT parallel, because they touch and parallels Cant do that
A car travels 4.5 miles in 5 minutes. Workout the average speed in miles per hour
Answer:
0.9
Step-by-step explanation:
Quick help please!!!
Answer:
D
Step-by-step explanation:
this isnt highschool, u are dum
Which figures are polygons?
Answer: A,C,D
Step-by-step explanation:
Answer:
pretty sure it's a, c, and d
Step-by-step explanation:
polygons have straight sides, not curved. it's a 2d figure, and it is enclosed. b doesn't fit the criteria of that because of the fact that the shape is a bit curved, as the other options do fit that criteria.
customers arrive at a post office with a single server. fifty percent of the customers buy stamps, and take 2 minutes to do so. twenty percent come to pick up mail and need 3 minutes to do so. the rest take 5 minutes. assuming all these times are deterministic and that the arrivals form a poisson process with a rate of 18 per hour, compute the expected number of customers in the post office in steady state
the expected number of customers in the post office in steady state is 13.16.
We can use the M/M/1 queue model to solve this problem. Since customers arrive at a Poisson rate of 18 per hour, the arrival rate is λ = 18/60 = 0.3 customers per minute. The service times are deterministic, so we can use the mean service time to calculate the service rate. The mean service time is:
(0.5 x 2) + (0.2 x 3) + (0.3 x 5) = 3.1 minutes
So the service rate is μ = 1/3.1 = 0.3226 customers per minute.
The utilization of the system is ρ = λ/μ = 0.3/0.3226 = 0.929. Since the system is stable, the expected number of customers in the system in steady state is:
L = ρ/(1 - ρ) = 0.929/(1 - 0.929) = 13.16 customers
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Madi has 8.80 in pennies and nickles. if there are twice as many nickles as pennies, how many pennies and nickels does madi have?
Madi has 80 pennies and 160 nickels.
What is the system of equations?
A system of equations also referred to as an equation system, is a collection of finite equations for which common solutions are sought.
Here, we have
Given :
Madi has $8.80 in pennies and nickels.
If there are twice as many nickels as pennies.
We have to find out how many pennies and nickels Madi has.
And pennies = $0.01 and a nickel = $0.05.
If there are twice as many nickels as pennies n= 2p, and the total value is $8.80.
Then equation becomes;
$0.01p + $0.05n = $8.80.
Substitute the value of 2p = n in the given equation,
$0.01p + $0.05(2p) = $8.80
$0.01p + $0.10p = $8.80
$0.11p = $8.80
p = $8.80/$0.11
p = 80
And put the value of p=8 in the equation,
We get,
n = 2p = 2(80) = 160
Hence, there are p=80 pennies and n=160 nickels.
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Question content area top
Part 1
Find the value of x. 29
31
x
Question content area bottom
Part 1
x
enter your response here
(Round to the nearest tenth as needed. )
Help me solve thisView an example Get more help
the value of x is 29. Using the midpoint formula, we can find the value of x. The midpoint of 29 and 31 is the average of the two numbers:
midpoint = (29 + 31)/2 = 30
Since x is the midpoint of 30 and 31, we can set up an equation:
(x + 31)/2 = 30
Solving for x, we get:
x + 31 = 60
x = 29
Therefore, the value of x is 29.
In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment.
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A line passes through the points (-2, 8) and
(5,-20). Which points lie on the same line?
Select all that apply.
(-6, -2)
(-3, 12)
(4, 16)
(0, 6)
(-1, 4)
(7,5)
The points that lies on the same line are (-3, 12), and, (-1, 4).
Here, we have,
The given coordinate points are (-2, 8) and (5,-20).
Here, slope (m)= 8+20/-2-5
= 28/-7
=-4
Substitute m= -4 and (x, y)=(-2,8) in y=mx+c, we get
8 = 8+c
or, c = 0
So, the equation of a line is y= -4 x
Now,
(-6, -2) in the given equation is -2=-4 (-6)
-2≠ 24
(-3, 12) in the given equation is y= -4 x
12 = 12
(4, 16) in the given equation is y= -4 x
16 ≠ -16
(0, 6) in the given equation is y= -4 x
6 ≠ 0
(-1, 4) in the given equation is y= -4 x
4 = 4
(7,5) in the given equation is y= -4 x
5 ≠ -28
Therefore, the points that lies on the same line are (-3, 12), and, (-1, 4).
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Two bowling alleys charge a flat fee to rent shoes, plus a cost per game. Strike Zone Bowling charges $3.50 for each game; plus $5.25 for shoe rental. Fun Time Bowling Lanes charges based on the table.
Number of Games Bowled
Total Cost
3 $17.25
4 $21.50
5 $25.75
Amelia and John will bowl 2 games each. Amelia has her own shoes, however, John needs to rent shoes. Which statement is true?
A.
Strike Zone Bowling is less expensive and would save them $0.75.
B.
Fun Time Bowling Lanes is less expensive and would save them $0.75.
C.
Strike Zone Bowling is less expensive and would save them $2.25.
D.
an airplane 3,000 ft above the ground begin descending at a rate of 2,000 ft per minute
The height of the plane is modeled by the linear equation:
height = 3000ft - 2000ft*t
How to get the plane height equation?If the rate at which the plane descends is constant, then the height is modeled by a linear equation.
We can write:
height = initial height - rate*time
We know that the initial height is 3000ft, and that the plane descends at ar ate of 2,000ft per minute, then we can write the linear equation:
height = 3000ft - 2000ft*t
Where t is the time in minutes.
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Complete question:
"an airplane 3,000 ft above the ground begin descending at a rate of 2,000 ft per minute, which will be the height of the plane after t minutes?"
Which of the following has a larger expected loss? Option 1: A sure loss of $740. Option 2: A 25% chance to lose nothing, and a 75% chance of losing $1000. a. Option 1 b. Option 2 c. The two expected earnings are equal.
The larger expected loss is in a 25% chance to lose nothing, and a 75% chance of losing $1000.
To determine which option has a larger expected loss, we need to calculate the expected value of each option.
For a sure loss of $740.
The expected loss for Option 1 is simply $740 because there is no uncertainty or probability involved.
For a 25% chance to lose nothing, and a 75% chance of losing $1000.
To calculate the expected loss for Option 2, we multiply the probabilities by the corresponding losses and sum them up:
Expected loss for Option 2 = (0.25 × $0) + (0.75 × $1000) = $0 + $750 = $750
Comparing the expected losses of both options, we find that:
Expected loss for Option 1 = $740
Expected loss for Option 2 = $750
Therefore, the larger expected loss is in Option 2, so the answer is b. Option 2.
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Is this a function or no
Arrange the given fractions 718, 56 and 79 from greatest to smallest
Please help
The fractions should be placed in the following order: 5/6 > 7/9 > 7/18
To arrange the fractions 7/18, 5/6, and 7/9 from greatest to smallest, we need to compare their values. One way to do this is to convert all the fractions to have the same denominator, which in this case is 54. To do this, we can multiply the numerator and denominator of each fraction by the appropriate factor to get a common denominator of 54:
7/18 = (7 x 3) / (18 x 3) = 21/54
5/6 = (5 x 9) / (6 x 9) = 45/54
7/9 = (7 x 6) / (9 x 6) = 42/54
Now we can compare these fractions:
45/54 > 42/54 > 21/54
So, the fractions in order from greatest to smallest are 5/6, 7/9, and 7/18. Therefore, the correct arrangement of the fractions is:
5/6 > 7/9 > 7/18
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need help so bad pleasss
Answer:
y=2/3x-6
Step-by-step explanation:
i hope this helps :)
Thank non so much Chene Inters! thank nen so much Chene Inters! Thank nen semneh Chena inters! That en so much Chean Inters! Thank nen so much Chean Inters! thank nen remneh Chene Inters! Thank you so much Cheos tuters! Thank you so much Cheas tuters! thank you so much Cheao tutor thank you so much Cheos tuters! Thank you so much Cheos tuters! Thank you so much Cheas tuter This is This is The The QuestioQuestion I need I need Help Help With: With: This is This is The The QuestioQuestion I need I need Help Help Write a Regular Expression For this With: With: This is This is The The Questionuestion I need I need Help Help With: With: This is This is language: The Question L = {w = {a,b}* | w has I need Help With: This is odd number of The Question I need a's and ends Help With: This is The Question I need Help With: This is The The Question Question need with b} Please show work neatly and I will thumb up your answer promptly if it makes sense! Do not copy and paste work from other questions or I will give you a thumbs down. I need Help With: Help With: This is This is The The Question Question I need I need Help With: Help
The regular expression is ^(a(aa)*b)$.
Find Regular expression for odd 'a's, ending with 'b'?To create a regular expression for the language L = {w = {a,b}* | w has an odd number of 'a's and ends with 'b'}, we can use the following expression:
^(b|(a(aa)*b))$
Breaking it down:
^ indicates the start of the string.
(b|(a(aa)*b)) matches either 'b' or a sequence of 'a's followed by an odd number of 'a's and 'b'.
(aa)* matches zero or more pairs of 'a's.
$ indicates the end of the string.
This regular expression ensures that the string starts with 'b' or a sequence of 'a's, followed by an odd number of 'a's, and ends with 'b'. Any additional characters or sequences in between are not allowed.
Please note that regular expressions can have different notations and conventions depending on the context or programming language you're using. The expression provided here follows a general pattern that should work in most cases.
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use the binomial theorem to find the binomial expansion of the given expression. (2x-3y)^5.
show work
Answer:
(a + b)^n = C(n, 0)a^n b^0 + C(n, 1)a^(n-1) b^1 + C(n, 2)a^(n-2) b^2 + ... + C(n, n-1)a^1 b^(n-1) + C(n, n)a^0 b^n
The binomial expansion of (2x - 3y)^5 is:
32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5
The binomial expansion of the given expression is 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵.
The given expression is (2x-3y)⁵.
In elementary algebra, the binomial theorem describes the algebraic expansion of powers of a binomial.
(2x)⁵+⁵c₁(2x)⁴(3y)¹+⁵C₂(2x)³(3y)²+⁵C₃(2x)²(3y)³+⁵C₄(2x)(3y)⁴+⁵C₅(3y)⁵
= 32x⁵+5(16x⁴)(3y)+10.(8x³)(9y²)+10(4x²)(27y³)+5(2x)(81y⁴)+243y⁵
= 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵
Therefore, the binomial expansion of the given expression is 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵.
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Which of the following equations is equivalent to 4x + 2y = 12? A. 2y = -4x + 12 B. y=-2x + 6 C. y = 2X - 6 D. y = 8x + 24
Let's find the equivalent equation to:
4x + 2y = 12
2y = 12 - 4x
Dividng by 2 at both sides:
2y/2 = 12/2 - 4x/2
y = 6 - 2x
We can see that choices B and C are not correct because the signs.
If we multiply by 2 at both sides, we have:
2y = 12 - 4x
We can see that if we change the order at the right side of the equation, we have:
2y = -4x + 12
I think now you are ready to select the correct choice, Deppreso.
The owners of Rollerblades Plus determine that the monthly. S, of its skates vary directly as its advertising budget, A, and inversely as the price of the skates, P. When $ 60,000 is spent on advertising and the price of the skates is $40, the monthly sales are 12,000 pairs of rollerblades
Determine monthly sales if the amount of the advertising budget is increased to $70,000.
(a) Assign a variable to represent each quantities.
(b) Write the equation that represent the variation.
(c) Find the constant of variation.
(d) Answer the problems equation.
For the given variables: (a) S: Monthly sales, A: advertising budget, P: Skates price. (b) S = k * (A/P) (c) variation constant = 8 (d) 14,000 rollerblades.
(a) Let S be the monthly sales (pair of rollerblades), A be the advertising budget (in dollars), and P be the price of the skates (in dollars) for the variables.
(b) Based on the information given, we can write the equation for variation as:
S = k * (A/P), where k is the constant of variation.
(c) To find the constant of variation, plug the specified values of monthly sales, advertising budget, and price into the equation and solve for k.
Using values of S = 12,000, A = $60,000, and P = $40:
12,000 = k * (60,000/40)
12,000 = 1,500,000
k = 12,000/1,500
k = 8
Therefore, the variation constant is 8.
(d) To answer the problem equation, we need to find the new monthly income when the advertising budget increases to $70,000. Substituting the new value A = $70,000 into the variational equation with the variational constant k = 8 and the original price P = $40 yields:
S = 8 * (70,000/40)
S = 8 * 1,750
S=14,000
So if your advertising budget is increased to $70,000, your new monthly income will be 14,000 pairs of rollerblades.
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Use the given information to write the equation of a line.
slope = -2 and passes through through (1,1)
Answer:
y = -2x - 1
Step-by-step explanation:
If you already know the slope. Just find out the y-intercept. Plug the coordinates into the equation.
y = mx + b
y = -2x + b
1 = -2(1) + b
1 = -2 + b
-1 = b
A truck travels some distance at a speed of 35 km h in 120 min and the remaining distance at a speed of 48 km h in 90 min. Determine the: (a) total distance covered. (b) average speed over the entire journey
Answer:
a) 142 km,b) 40.57 km/hStep-by-step explanation:
Use of formula:
speed = distance / timedistance = speed × timea) Find each part of distance and add together. Convert minutes to hours.
35 × (120/60) = 35 × 2 = 70 km,48 × (90/60) = 48 × 1.5 = 72 kmdistance = 70 + 72 = 142 kmb) Average speed is:
speed = 142 /(2 + 1.5) = 142/3.5 = 40.57 km/h (rounded)Answer:
(a) 142 km
(b) 40.57 km/h (2 d.p.)
Step-by-step explanation:
Part (a)\(\boxed{\sf Distance=Speed \times Time}\)
Given:
Speed = 35 km/hTime = 120 min = 2 hSubstitute the given values into the distance formula to find the distance travelled:
\(\implies \sf Distance = 35 \times 2 = 70\;km\)
Given:
Speed = 48 km/hTime = 90 min = 1.5 hSubstitute the given values into the distance formula to find the distance travelled:
\(\implies \sf Distance = 48 \times 1.5 = 72\;km\)
Therefore, the total distance travelled is:
\(\implies \sf 70 + 72 = 142 \; km\)
Part (b)\(\boxed{\sf Average\;speed=\dfrac{Total\;distance}{Total\;time}}\)
Given:
Total distance = 142 kmTotal time = 2 + 1.5 = 3.5 hSubstitute the given values into the average speed formula to find the average speed over the entire journey:
\(\implies \sf Average\:speed=\dfrac{142}{3.5}=40.57\;km/h\;(2\;d.p.)\)
7th grade, 25 points plus brainliest to the correct answer, no point theives please, the question is in the picture.
Answer:
I don't see any attachement or a picture or anything
Step-by-step explanation:
The answer is D
Which equation shows that the Pythagorean identity is true for 0=0 Select the equation that is in the form sin^20 + cos^20 = 1.
Answer:
D
Step-by-step explanation:
the last one, because sin(0)=0, cos(0)=1.
suppose albers elementary school has 57 teachers and bothel elementary school has 71 teachers. if the total number of teachers at albers and bothel combined is 94, how many teachers teach at both schools?
There is 34 teachers who teach on both school. The name of the schools are albers and bothel.
What is a linear equation?
The equation for a linear equation in one variable is written as ax+b = 0, where a and b are two integers, and x is a variable. This equation has only one solution. For instance, the linear equation 2x+3=8 only has one variable.
Given that, the number of teacher in albers elementary school is 57.
The number of teacher in bothel elementary school 71.
Total number of teacher at both schools is 94.
Assume that a number of teacher is common in both school.
The number of teacher who tech only at albers elementary school is 57 - a.
The number of teacher who tech only at bothel elementary school is 71 - a.
The total number of teacher is
The number of teacher who tech only at albers elementary school + number of teacher who tech only at bothel elementary school + the number of teacher who teach at both schools
= 57 - a + 71 - a + a
= 128 - a
Therefore,
128 - a = 94
Subtract 128 from both sides:
-a = -34
Divide both sides by -1:
a = 34.
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Justine used unit cubes to build a rectangular prism that is 10 units tall and has a volume of 160 cubic units. Larry used half as many unit cubes to build a rectangular prism that is the same height as Justine's prism. What is the area of the base of Larry's prism?
The volume of Justine's rectangular prism is: 8 units
How to solve for the volumeV = l x w x h = 160 cubic units
Since the height of Justine's prism is 10 units, we can solve for the area of the base by dividing the volume by the product of the height and the length:
lw = V/h = 160/10 = 16 square units
So the area of the base of Justine's prism is 16 square units.
V' = V/2 = 160/2 = 80 cubic units
To find the area of the base of Larry's prism, we can use the same formula as before:
lw = V'/h = 80/10 = 8 square units
So the area of the base of Larry's prism is 8 square units.
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