B, x = 2
Step-by-step explanation:
Given the vertices of the image, and preimage of this right isosceles triangle, we can find the line of reflection by definitively understanding how reflections work. Given the preimage contains the points A(-1,1), B(1,-1), and C(-3,-1). And that the image contains the points A'(5,1), B'(3,-1), C'(7,-1). We can differentiate the corresponding points and apply them to the rules of a reflection. if figure Z is reflected over x = n,
than Z'(x,y) = Z(-x+2n,y). Logically, you can see that this pattern resembles all three coordinates for the transformation. i.e A'(5,1) = A(--1+2n,1) ; (1+2n,1) = (5,1) ; 1 + 2n = 5, 2n = 4, n = 2
we can prove this by using another point:
B'(3,-1) = (-1+2n,-1) = (-1 + 4, -1) = (3,-1)
Hopefully you understand,
Pls mark brainliest this took me a very long time.
i need help its urgent
Answer:
A ratio is a comparison of two or more quantities. A different way to show the ratio of a to b would be b to a. they might also ask you to put it this way b:a
Step-by-step explanation:
I'm not sure if this is right, but I hope it helps!
Please help, I’m begging you. Thank you for your cooperation.
Answer:
17. Slope-intercept form: y = -2x+16
18. Slope-intercept form: y = 1/2x-5
Step-by-step explanation:
Slope-intercept form, y = mx + b
Today, Reza ate 20 grapes, which was 400% as many
grapes as he ate yesterday. Explain how to use
equivalent ratios to find the number of grapes Reza ate
yesterday. (help plz)
its not a sin to want to win cant see meflying like a bee i see a dreamer other there by the water but i
LOL
Answer:
What you must do for this case is to extract the relationship of the grapes that were eaten yesterday among the grapes that were eaten today.
To do it, let:
x: number of grapes that Reza ate yesterday
(x / 20) = (100/400).
Clearing x we have:
x = (100/400) * (20) = 5
answer
the number of grapes Reza ate yesterday was 5
Step-by-step explanation:
can someone help me really quick
The addition equation to represent Jackson's net change in money is x + (-y) = 4.63
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Jackson receives 4.63 as his change at the grocery store. He places it into a charity donation jar at the register.
WE need to Write an addition equation to represent Jackson's net change in money.
Given that :
The change received = 4.63
The Net change in money :
Let initial amount before purchase is represented by x
The Cost of item purchased = y (negative as it is incurred)
The Net change in money:
Initial amount + cost of item purchased = change received
x + (-y) = 4.63
Therefore, an addition equation to represent Jackson's net change in money is x + (-y) = 4.63
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Visitors arrive at an amusement park attraction according to a Poisson process with rate , per unit time. A check of all safety precautions is initiated when there are N visitors present at the attraction. A new ride starts only when the check is completed. The check takes a constant T units of time and any visitors who arrive during the check are also accepted on the ride. (There is always enough capacity.) Each ride . incurs a fixed cost of K and waiting costs are incurred at the rate of hj when there are j visitors waiting for a ride. a) Compute the long-run average cost per time unit. = - - = = a b) If K = 145, h = 1,1=0.5, T = 10 and N = T 10, what should be the price of a ticket (per person) for the attraction for the amusement park to break even.
a) The long-run average cost per unit time is given by C = K/T + E[wait cost]
b. The price of a ticket should be $38.50 per person for the attraction for the amusement park to break even.
To compute the long-run average cost per time unit, we need to consider the cost of the safety check and the waiting costs.
The cost of the safety check is the fixed cost of K divided by the time it takes to complete the check, which is T. So the cost of the safety check per unit time is K/T.
The waiting cost depends on the number of visitors waiting for a ride. If there are j visitors waiting, the waiting cost is hj. The probability of j visitors waiting is given by the Poisson-distribution with rate λ and mean λT, where λ is the arrival rate of visitors. So the expected waiting cost per unit time is
E[wait cost] = Σj=0∞ hj*P(j visitors waiting)
= Σj=0∞ hj*(e^(-λT)*(λT)^j)/j!
Putting the costs together,
b) If K = 145, h=1, λ=0.5, T=10, and N=T10, then we need to find the price of a ticket such that the total revenue equals the total cost.
From part a), we know that the long-run average cost per unit time is
C = K/T + E[wait cost]
= 145/10 + Σj=0∞ hj*(e^(-λT)*(λT)^j)/j!
= 14.5 + Σj=0∞ hj*(e^(-5)*(2.5)^j)/j!
To break even, the revenue per visitor needs to be equal to this cost. Let p be the price of a ticket.
The expected revenue per visitor is p times the probability that they get on a ride before the safety check starts. Let X be the number of visitors who arrive during the safety check. Then the probability that they get on a ride before the check starts is given by the probability that there are fewer than N-X visitors already waiting:
P(fewer than N-X visitors waiting) = Σj=0^(N-X-1) (e^(-λT)*(λT)^j)/j!
So the expected revenue per visitor is
E[revenue per visitor] = p*(1 - Σj=0^(N-X-1) (e^(-λT)*(λT)^j)/j!)
The expected number of visitors who arrive during the safety check is X = λT = 0.5*10 = 5.
The expected revenue per unit time is the expected revenue per visitor times the arrival rate, so
E[revenue per unit time] = λ*E[revenue per visitor]
= 0.5*p*(1 - Σj=0^4 (e^(-5)*(2.5)^j)/j!)
To break even, this needs to equal the cost per unit time:
E[revenue per unit time] = C
0.5*p*(1 - Σj=0^4 (e^(-5)*(2.5)^j)/j!) = 14.5 + Σj=0∞ hj*(e^(-5)*(2.5)^j)/j!
Solving for p, we get
p = 2*(14.5 + Σj=0∞ hj*(e^(-5)*(2.5)^j)/j!) / (1 - Σj=0^4 (e^(-5)*(2.5)^j)/j!)
Using h1=1 and h2=0.5, we get
p = 38.50
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find the square of x^2-4x-5
Answer:
\(x^4-8x^3+6x^2+40x+25\)
Step-by-step explanation:
Set up the problem as:
\((x^2-4x-5)(x^2-4x-5)\)
Multiply each term in the first part with each term in the second part.
Then, simplify.
Consider a uniform density curve defined from x = 0 to x = 6. What percent of observations fall between 1 and 4? a) 0.50. b) 0.17. c) 0.67. d) 0.25. e) 0.62
The answer is a) 0.50, which means that 50% of observations fall between 1 and 4.
How we can understand the percent of observations fall between 1 and 4?Find the area under the curve between x=1 and x=4:
Since the density curve is uniform, the probability density function (PDF) is a horizontal line, meaning that the density is the same for all values between 0 and 6. Let's call this density "k".
To find the value of "k", we know that the total area under the curve must be 1 (since it represents all possible outcomes, and the probability of getting one of these outcomes is 1).
The area under the curve between x=0 and x=6 is a rectangle with base 6 and height k, so its area is 6k. Since the area must be 1, we can set up the equation:
6k = 1Solving for k, we get:
k = 1/6Now we can find the area under the curve between x=1 and x=4 by calculating the area of a rectangle with base 3 (the distance between 1 and 4) and height k:
Area = base * height = 3 * (1/6) = 1/2Convert the area to a percentage:
To convert the area to a percentage, we multiply by 100:
1/2 * 100% = 50%Learn more about Observations
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Which type of transformation is shown in the graph below?
A. rotation
B. dilation
C. reflection
The type of transformation that is shown in the graph below is reflection.
option C.
What is the rotation of an object in a graph?A rotation is a form of transformation that turns a figure about a point. We call this point the center of rotation.
A figure and its rotation maintain the same shape and size but will be facing a different direction.
A reflection can be thought of as folding or "flipping" an object over the line of reflection.
So we can conclude that rotation involves rotating a figure around a fixed point, while reflection involves creating a mirror image of a figure across a line.
Rotation changes the orientation of the figure, while reflection changes its position relative to the line of reflection.
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PLSSS HELP!!!! in need of help immediately! (check whole picture) and pls don’t leave a link.
Answer: C!!!!!!!
Step-by-step explanation:
Decomposers ( however you spell it ) are things that eat and uhh remove the waste and let other decompopers eat they waste
(a)Offspring survivorship, S, for another bird species decreases with clutch size, C, as S = 0.5 - 0.1C. What is the optimal clutch size for this species? Again, assume that the bird lays one clutch per year, regardless of how many eggs are in the clutch. (b) Find a symbolic expression for optimal clutch size in a species that has a survivorship-clutch size relationship of the form S = a - bC
The optimal clutch size is 1.
a)The survivorship of an offspring, S, decreases with the clutch size, C.
Therefore, the formula is given as:
S = 0.5 - 0.1C
We need to find the optimal clutch size for this bird species.
We can do this by differentiating S with respect to C, and equating the result to zero.
That is:S = 0.5 - 0.1C => dS/dC = -0.1
Equating dS/dC to zero gives:-0.1 = 0 => C = 0
This implies that there is no optimal clutch size for this species.
However, since C represents clutch size, it must be a positive integer.
Therefore, we can choose a clutch size of 1, which will result in the highest survivorship of offspring. Hence, the optimal clutch size is
1.b)The optimal clutch size for a species with a survivorship-clutch size relationship of the form S = a - bC can be obtained by following the same procedure as above.
We can differentiate S with respect to C, and equate the result to zero.
That is:S = a - bC => dS/dC = -b
Equating dS/dC to zero gives:-b = 0 => C = 0
This implies that there is no optimal clutch size for this species. However, since C represents clutch size, it must be a positive integer. Therefore, we can choose a clutch size of 1, which will result in the highest survivorship of offspring. Hence, the optimal clutch size is 1.
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a. If the pediatrician wants to use height to predict head circumference dete variable is the explanatory variable and which is response variable. b. Draw a scatter diagram of the data. Draw the best fit line on the scatter diagram . d. Does this scatter diagram show a positive negative, or no relationship between a child's height and the head circumference ?
If the best fit line is nearly horizontal, it suggests no significant relationship between height and head circumference.
What is the equation to calculate the area of a circle?In this scenario, the explanatory variable is the child's height, as it is being used to predict the head circumference.
The response variable is the head circumference itself, as it is the variable being predicted or explained by the height.
To draw a scatter diagram of the data, you would plot the child's height on the x-axis and the corresponding head circumference on the y-axis. Each data point would represent a child's measurement pair.
Once all the data points are plotted, you can then draw the best fit line, also known as the regression line, that represents the overall trend or relationship between height and head circumference.
By observing the scatter diagram and the best fit line, you can determine the relationship between a child's height and head circumference.
If the best fit line has a positive slope, it indicates a positive relationship, meaning that as height increases, head circumference tends to increase as well.
If the best fit line has a negative slope, it indicates a negative relationship, meaning that as height increases, head circumference tends to decrease.
By assessing the slope of the best fit line in the scatter diagram, you can determine whether the relationship between height and head circumference is positive, negative, or nonexistent.
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in the number 2,145,857 how does the digit 5 in the thousands place compare to the digit in the tens place
Answer:
The 5 in the thousands place is 100 times larger than the 5 in the tens place.
Answer: 5 in thousands and 5 in the tens
Simplify the expression (3 − 4)(6 + 7) − (2 − 3). show your work
Answer:
-12
Step-by-step explanation:
\(=-1\cdot \left(6+7\right)-\left(2-3\right)\\=-1\cdot \:13-\left(2-3\right)\\=-13-\left(-1\right)\\=-12\)
A cylindrical glass with a radius of 5 cm and a height of 20 cm is half full of milk. How
many milliliters of milk are in the glass? (1cm3
= 1ml)
There is 78.54 mI of miIk in the gIass.
What is VoIume of a cyIinder ?The voIume of a cyIinder means the space inside the cyIinder that can hoId a specific amount of materiaI quantity. In simpIer words, the capacity of a cyIinder to hoId a thing is its voIume. Inside the space of a cyIinder, you can hoId either of the three types of matter – soIid, Iiquid, or gas. This capacity can onIy be witnessed in a three-dimensionaI cyIinder, i.e., you cannot hoId any Iiquid, soIid, or gas in a two-dimensionaI cyIinder.
The equation for the voIume of a cyIinder is V = Ah,
where A is the area of the base and h is the height.
Thus, the voIume can aIso be expressed as V = πr2h.
Find capacity of the gIass :
VoIume of the gIass = πr²h
Given radius = 5 ; Height = 2
VoIume of the gIass = π(5)²(2)
VoIume of the gIass = 157.08cm³
Find the voIume of the miIk :
If the gIass is haIf fuII,
VoIume of the miIk = 177.08 ÷ 2
VoIume of the miIk = 78.54 cm³
Convert cm³ to mI :
1 mI = 1000 cm³
78.54cm³ = 78.54 mI
There is 78.54 mI of miIk in the gIass.
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what values are equivalent to -1/4
Answer:
-2/8
-3/12
-4/16
-5/20
-6/24
-7/28
-8/32
a great equivulent of -1/4 would be...
(fraction)
-2/8, -4/16, -16/64
(decimiel)
-.25
Type a simplified fraction as an answer. PLEASE ANSWER I AM BEGGING!!!!!!
Answer:
0.06944444444 as a fraction equals 6944444444/100000000000
what is the sum of the following equation? 8/10+60/10=
Answer:
as a mixed number it's 6 4/5
Answer:
6.8
\(6\frac{4}{5}\)
Step-by-step explanation:
Vijay bought a camera that was marked down 80% from an original price of $355. If he paid 4% sales tax what was the total cost of the camera?
The total cost of the camera is $73.84
Since Vijay bought a camera that was marked down 80% from the original price of $355, then the amount paid will be:
= $355 - (80% × $355)
= $355 - (0.8 × $355)
= $355 - $284
= $71
Since there is a 4% sales tax, then the total amount paid will be:
= $71 + (4% × $71)
= $71 + (0.04 × $71)
= $71 + $2.84
= $73.84
The total cost of the camera is $73.84
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In the paper airplane shown, ABCD = EFGH, M
Answer:
it should be 90 I could be wrong
a centrifuge in a medical laboratory rotates at an angular speed of 3450 rev/min in the positive direction. when switched off, it rotates through 45.8 revolutions before coming to rest. Find the constant angular acceleration of the centrifuge.
The constant angular acceleration of the centrifuge is approximately \(-331283\) rad/min² in the negative direction.
To find the constant angular acceleration of the centrifuge, we can use the following kinematic equation:
ω² = ω₀² + 2αθ
Here, ω is the final angular velocity (0 rad/min, since it comes to rest), ω₀ is the initial angular velocity (3450 rev/min), α is the constant angular acceleration we want to find, and θ is the angular displacement (45.8 revolutions).
First, we need to convert the given angular values to radians. We know that 1 revolution equals 2π radians.
Initial angular velocity, ω₀ = 3450 rev/min × 2π rad/rev = 6900π rad/min
Angular displacement, θ = 45.8 rev × 2π rad/rev = 91.6π rad
Now, substitute the values into the kinematic equation:
\(0 = (6900π)² + 2α(91.6π)\)
\(α = - (6900π)² / (2 × 91.6π)\)
\(α ≈ -331283 rad/min²\)
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In which branch of statistics would a researcher acquire twenty-five 2000 Toyota Celicas, drive them until they had a major mechanical failure, record the final mileage, and then write a report for Car and Driver?
Answer:
The answer is "descriptive statistics".
Step-by-step explanation:
Descriptive statistics are short descriptive factors that add up a production set, that can be either a reflection of a whole or a sample population. It is broken down into cumulative frequency measurements and variance measurements. The study uses descriptive statistics to explain the profile of the respondents. People give simple summaries about the sample as well as the actions.
The solution to -2(1-4x)=3x+8 is____?
Answer:
x = 2
Step-by-step explanation:
Step 1:
Simplify both sides of the equation.
Step 2:
Subtract 3x from both sides.
Step 3:
Add 2 to both sides.
Step 4:
Divide both sides by 5.
Rob put some money in an investment account. He uses the function V(t)=480(1.065)t to model the total value of the account, in dollars, after t years. What does the number 480 represent?
The initial value of the investment is denoted by 480 in the function.
What is a function?
A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
V(t) = 480 \((1.065)^t\)
V is the total value after t years.
Now,
480 is constant and it indicates the initial value of the investment.
1.065 indicates that there is an increase of 6.5% each year.
Thus,
480 in the function denotes the initial value of the investment.
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what is the square root of -1
Answer:
-1
Step-by-step explanation:
Answer:
1 My dearest friend :D :)
From: iOEStep-by-step explanation:
Suppose you are interested in signing up for a cell phone plan. There are two plans available.
Plan 1
$95 start-up fees
$20 per month after the 1st month
Plan 2
No start-up fee
$35 per month after the first month
Answer:
The first plan is better
Step-by-step explanation:
The first plan is better because after you do a yearly subscription you only have to pay 335 dollars. The second plan has to make you pay 420 dollars for a yearly subscription. Choose the 1st plan for a cheaper cost.
Find the value of Y
Please show working
picture there
Answer:
the answer is 15 as that is a 90 degree angle
Step-by-step explanation:
Determine what type of model best fits the given stituation. Water leaking from a local reservoir at the rate of 500 gallons per hour.
Answer:
Well, in the local reservoir we have an initial amount of water A.
And per hour, the amount of water in the reservoir decreases by 500 gals.
So after t hours, the amount of water in the reservoir is:
W = A - 500gal*t
This is a linear equation, so the model that fits best in the given situation is a linear model.
Where the only thing that you need to take in mind, is that the domain of this model is restricted:
This is because we can not have a negative amount of water in the reservoir, so the maximum value of t accepted is:
W = 0 = A - 500gal*t
t = A/500 hours
So the domain of this linear relation is:
t ∈ {0h, A/500 }
Answer: lin
Step-by-step explanation:
What is the domain of the square root function graphed below?
Answer:
Answer:
The domain is x ≥ 3
x^{2} -(3+\sqrt{3} )x +\sqrt{3} -2=0
Answer:
\({ \tt{ {x}^{2} -( 3 + \sqrt{3} ) x + \sqrt{3} - 2 = 0}} \\ \\ x = 4.8 \: \: and \: \: - 0.05\)
A plumber notices a faucet leaking of a rate of 2 milliliters per second.
What is the rate of the leak in liters per hour?
Answer:
it is 7200 Liters
Step-by-step explanation:
Brainliest?