Answer: \(= (\frac{5\sqrt{3} }{3x })\)
Step-by-step explanation:
I can't see B but I will do C
C)
\(\frac{\sqrt{5} }{\sqrt{3x^{2} } }\) >the x² can come out because √x² = x
\(=\frac{5}{x\sqrt{3} }\) >You cant have a root on bottom so multiply by \(\frac{\sqrt{3} }{\sqrt{3} }\)
\(=\frac{5}{x\sqrt{3} } (\frac{\sqrt{3} }{\sqrt{3} })\)
\(= (\frac{5\sqrt{3} }{3x })\) >This is your simplified answer
classify each hypothetical setting as a binomial, poisson, or exponential distribution. binomial poisson answer bank exponential approximately 11 cars are sold every week at a car dealership. find the probability that the dealer will wait two days for the next car to sell. the mean number of fuses that blow in a particular building each year is five. find the probability that no fuses will be blown next year. the probability of a defective computer part is 0.05 at a particular factory. find the probability that there are 10 defective parts in 100 boxes. two percent of cats in the united states have feline leukemia. find the probability that nine out of 45 cats at an animal shelter have feline leukemia. on average, two babies are born with a health defect every hour at a local hospital. find the probability that two hours will go by without a baby being born with a health defect.
Binomial distributions are,
1) Find the probability that two 20- year-old homes out of 50 are without cracks in the foundation
4) Two percent of cats in the United States have feline leukemia. Find the probability that nine out of 45 cats at an animal shelter have feline leukemia.
5) In a standard deck of 52 cards, the probability of drawing a king is 0.08. Find the probability that four out of 10 people draw a king with replacement.
The Poisson distribution is
3) On average, airplanes take off every 20 minutes at a particular airport. Find the probability that the next airplane will take off less than or equal to 10 minutes after the previous airplane
The exponential distribution is
2) Approximately 11 cars are sold every week at a car dealership. Find the probability that the dealer will wait two days for the next car to sell.
The binomial distribution is used when there are a fixed number of independent trials, each with a binary outcome (success or failure). It is commonly used in situations where we want to count the number of successes out of a fixed number of trials.
1) Find the probability that two 20- year-old homes out of 50 are without cracks in the foundation
4) Two percent of cats in the United States have feline leukemia. Find the probability that nine out of 45 cats at an animal shelter have feline leukemia.
5) In a standard deck of 52 cards, the probability of drawing a king is 0.08. Find the probability that four out of 10 people draw a king with replacement.
The Poisson distribution is used to model the number of events occurring in a fixed interval of time or space. It is commonly used in situations where the number of events is rare, but the probability of each event is small.
3) On average, airplanes take off every 20 minutes at a particular airport. Find the probability that the next airplane will take off less than or equal to 10 minutes after the previous airplane
The exponential distribution is used to model the time between consecutive events in a Poisson process. It is commonly used in situations where we want to model the time between occurrences of rare events.
2) Approximately 11 cars are sold every week at a car dealership. Find the probability that the dealer will wait two days for the next car to sell.
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The given question is incomplete, the complete question is:
Classify each hypothetical setting as a binomial, Poisson, or exponential distribution. Binomial Poisson Exponential Answer Bank The mean number of cracks in the foundation of a 20-year-old home is six. 1) Find the probability that two 20- year-old homes out of 50 are without cracks in the foundation. 2) Approximately 11 cars are sold every week at a car dealership. Find the probability that the dealer will wait two days for the next car to sell. 3) On average, airplanes take off every 20 minutes at a particular airport. Find the probability that the next airplane will take off less than or equal to 10 minutes after the previous airplane. 4) Two percent of cats in the United States have feline leukemia. Find the probability that nine out of 45 cats at an animal shelter have feline leukemia. 5) In a standard deck of 52 cards, the probability of drawing a king is 0.08. Find the probability that four out of 10 people draw a king with replacement.
Solve the system of equations graphically: x – y = 1 and 3x = 3y + 3
Answer:
x=y+1,y=y
Step-by-step explanation:
explain the difference between the reciprocal of a function and the inverse of a function. why must the domains of the sine, cosine, and tangent functions be restricted in order to define their inverse functions? be specific. provide examples and graphs to support your answers.3
The main difference between the reciprocal and inverse of a function is their definition and properties. The reciprocal of a function f(x) is defined as 1/f(x), while the inverse of a function f(x) is a function f^(-1)(x) such that \(f(f^(-1)(x))=x and f^(-1)(f(x))=x\) for all x in their respective domains.
The domains of sine, cosine, and tangent functions need to be restricted to define their inverse functions because they are not one-to-one functions. In order to have an inverse, a function must be both one-to-one (each output has only one input) and onto (each output value is mapped by at least one input value).
For example:
- sine: restricted domain to [-π/2, π/2] to define its inverse, arcsin (sin^(-1))
- cosine: restricted domain to [0, π] to define its inverse, arccos (cos^(-1))
- tangent: restricted domain to (-π/2, π/2) to define its inverse, arctan (tan^(-1))
These restrictions ensure that the functions become one-to-one and onto, making it possible to define their inverses uniquely.
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after 5 years, sammy has $7500 left on his student loans. with an interest rate of 8%, how much did sammy take out originally to fund his education?
Sammy originally took out approximately $5357.14 to fund his education.
Define rate of interestThe rate of interest, also known as the interest rate, is the percentage amount charged by a lender or financial institution for the use of borrowed money or for the extension of credit. It is the cost of borrowing money, typically expressed as an annual percentage of the amount borrowed or owed.
Let X be the amount Sammy took out originally to fund his education.
After 5 years, the amount he has to pay back is X + (0.08X5) = X + 0.4X = 1.4X.
We know that 1.4X = $7500, so we can solve for X:
1.4X = $7500
X = $7500 / 1.4
X ≈ $5357.14
Therefore, Sammy originally took out approximately $5357.14 to fund his education.
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what is 2 time 10 to the 3rd power?
Answer:
2000
Step-by-step explanation:
Say I had a line: y=3x, Say I had a point (3,1). If
wanted to find a line PERPENDICULAR to y = 3x,
THROUGH (3,1)...
y=m+b
(1) How would I find the M of the perpendicular line?
(2) How would I find the B of the perpendicular line?
To find the equation of a line perpendicular to y = 3x and passing through the point (3,1), you can determine the slope (m) and y-intercept (b) of the new line.
The slope of the perpendicular line is the negative reciprocal of the slope of the original line, and the y-intercept remains the same.
The slope-intercept form of a line is y = mx + b, where m represents the slope and b represents the y-intercept. To find the slope (m) of the perpendicular line, we need to take the negative reciprocal of the slope of the original line.
In this case, the slope of y = 3x is 3. The negative reciprocal of 3 is -1/3. So, the slope of the perpendicular line is -1/3.
To find the y-intercept (b) of the perpendicular line, we can substitute the coordinates (3,1) into the equation y = mx + b and solve for b. Using the slope-intercept form and substituting the values, we have 1 = (-1/3) * 3 + b. Simplifying this equation gives us 1 = -1 + b.
Adding 1 to both sides, we find b = 2.
Therefore, the equation of the line perpendicular to y = 3x and passing through the point (3,1) is y = (-1/3)x + 2.
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: On a very hot day, you decide to get a scoop of ice cream at Double Rainbow in San Rafael. You are happy that the scoop is a perfect sphere, but it is starting to melt. If the radius is decreasing at the rate of 2.5 millimeters (mm)per minute, how fast is the volume of the ice cream changing when the radius is 4 centimeters (cm)? (10 mm = 1 cm) Volume of a sphere of radius r: V = πr³ 4 3
If the radius of the scoop of ice cream at Double Rainbow is decreasing at a rate of 2.5 millimeters (mm) per minute and the radius is 4 centimeters (cm), then we need to find out the rate at which the volume of the ice cream is changing. The volume of a sphere is given by the formula V = 4/3πr³.
Now, we can differentiate this equation with respect to time t to get dV/dt = 4πr²(dr/dt), where dV/dt represents the rate at which the volume is changing and dr/dt represents the rate at which the radius is changing. We have dr/dt = -2.5 mm/min because the radius is decreasing at the rate of 2.5 mm/min.
We also know that 10 mm = 1 cm. Hence, dr/dt = -0.25 cm/min (since 2.5 mm = 0.25 cm). Now, we can substitute r = 4 cm and dr/dt = -0.25 cm/min in the equation dV/dt = 4πr²(dr/dt) to get the rate at which the volume is changing. We have dV/dt = 4π(4)²(-0.25) = -8π cm³/min. Therefore, the volume of the ice cream is decreasing at a rate of 8π cm³/min when the radius is 4 cm.
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PLEASE HELP ASAP
Use the image of the L-shaped composite figure formed by two rectangular prisms to answer the question.
Two attached prisms. One is 20 by 4 by 8. The other is 20 by 10 by 2. The face they share is 20 by 2. All measures are centimeters.
© 2018 StrongMind
What is the surface area of the figure in square centimeters?
According to the figure's surface area, 712 square centimeters,
How do prisms work?A prism is indeed a solid form that is enclosed by flat faces on all of its sides. A prism has two different kinds of faces. Bases refer to the identical top and bottom faces. The word "prism" refers to the form of these bases. For instance, a prism is referred to be a triangular prism if its base is triangular.
We must sum up the places of all the faces of a two rectangular prisms in order to determine the contact area of the this L-shaped composite figure.
First, we'll find the area of the faces of the first prism.
It has a length of 20 cm, a width of 4 cm, and a height of 8 cm.
So, the area of the front face is 204 = 80 sq cm.
The area of the back face is also 80 sq cm.
The area of the top face is 48 = 32 sq cm.
The area of the bottom face is also 32 sq cm.
The area of the right face is 8*20 = 160 sq cm.
The area of the left face is also 160 sq cm.
Now, we'll find the area of the faces of the second prism.
It has a length of 20 cm, a width of 10 cm, and a height of 2 cm.
So, the area of the front face is 2010 = 200 sq cm.
The area of the back face is also 200 sq cm.
The area of the top face is 102 = 20 sq cm.
The area of the bottom face is also 20 sq cm.
The area of the right face is 2*20 = 40 sq cm.
The area of the left face is also 40 sq cm.
Now, we need to subtract the area of the shared face from both prisms. The shared face is 20*2 = 40 sq cm. So, we need to subtract 40 sq cm from both prisms.
So, the total surface area of the figure is (80+80+32+32+160+160) + (200+200+20+20+40+40) - (40+40) = 712 sq cm.
Therefore, the surface area of the figure is 712 square centimeters.
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refer to the market for good x. p0=$15, pa=$21, p*=$31, pb=$44, p1=$57, q0=10, q*=30, q1=50, and q2=70. what is the quantity demanded when the price is $44?
At a price of $44, the quantity demanded is equal to q*, which is 30 units.
The market for good X is given with a price of $15 at q0 (10 units), a price of $21 at pa, a price of $31 at p* (30 units), a price of $44 at pb, a price of $57 at p1 (50 units), and a price of $70 at q2 (70 units). To calculate the quantity demanded when the price is $44, we first need to identify the price points on either side of $44. In this case, $31 and $57 are the two price points. We then look at the corresponding quantities at those two points, which are q* (30 units) and q1 (50 units). Since the demand curve is downward sloping, the quantity demanded at $44 (pb) will be between 30 and 50 units. Since 30 is the lower number, the quantity demanded at $44 will be q*, or 30 units.
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Complete the flow proof below by filling in the reasons for 1, 2, 3, 4, and 5.
To prove that EFGH is a parallelogram, the missing reasons are:
1. Alternate interior angles theorem
2. Reflexive property
3. SAS
4. CPCTC
5. Both pairs of quadrilateral EFGH are congruent, hence, EFGH is a parallelogram.
What is a Parallelogram?A parallelogram is a quadrilateral that has: two pairs of opposite sides that are parallel and congruent
To prove that EFGH is a parallelogram, we have the following proof which consists of the reasons that jsutifes each given statement:
1. ∠FGE and ∠HEG are alternate interior angles, therefore, ∠FGE ≅ ∠HEG based on the alternate interior angles theorem.
2. EG ≅ EG based on the reflexive property of congruence.
3. ΔFGE and ΔHEG have:
two pairs of corresponding congruent sides - EG ≅ EG, and FG ≅ EH
one pair of included congruent angles - ∠FGE ≅ ∠HEG
Therefore, ΔFGE ≅ ΔHEG by SAS.
4. Since ΔFGE ≅ ΔHEG, therefore, FE ≅ HG by CPCTC.
5. In conclusion, since both pairs of quadrilateral EFGH are congruent, then EFGH is a parallelogram.
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What is the sum of the measures of the exterior angles of a regular pentagon? if necessary, round to the nearest tenth.
The supplied regular polygon's solitary outside angle measures 32.5 degrees.
additionally, we must determine the size of a single external angle.
As a result, the polygon that is presented has 11 sides.
What does the term "exterior angle" mean?
In a rectilinear figure, the angle between a side and its neighboring side stretched outward.
360 degrees is the sum of all outside angles.
By dividing 360 by the total number of sides, we must determine the size of a single outside angle.
As a result, the supplied regular polygon's solitary exterior angle has a measure of 32.5 degrees.
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calculate the amount of money invested at 8.5% per annum when 2,488.80 simple interest was collected after three years. anyone help please
Answer:
2488.80 divided by 3=838.1
suppose that a student who does not receive a special accommodation is allowed 3 hours for the exam, whereas an accommodated student is allowed 4.5 hours. what would you expect the average time allowed the 15 selected students to be? (round your answer to two decimal places.)
The average time allowed the 15 selected students to be 3.06hours
What is Average?
In plain English, an average is a single number chosen to represent a group of numbers; it is often the sum of the numbers divided by the number of numbers in the group. The average of the numbers 2, 3, 4, 7, and 9 is, for instance, 5.
With a sample size of 15 and a p value of 0.04
From binomial probability, (nCx)px(1p) is where the application of binomial probability originates from (n-x)
1 - p = 0.96
a) P(x=1) is the probability that precisely 1 received a special accommodation.
= 15C1 x (0.04)^1 x (0.96) ^14 = 0.3388
b) P(x >=1) = 1 - P(x = 0) is the likelihood that at least 1 person received a special accommodation.
= 1 - [ 15C0 x (0.04)^0 x (0.96)^15 = 0.4579
c) the likelihood that two people at least obtained special accommodations
= [P(x = 0) + P(x = 1)] - [P(x>=2) = P(x>=2)
= 1 - [ 15C0 x (0.04)^0 x (0.96)^15 + 15C1 x (0.04)^1 x (0.96)^14]
= 1 - [0.5420 + 0.3388] .3388]
= 0.1192
d) likelihood that the proportion of the 15 who received a special accommodation is within two standard deviations of the proportion you would anticipate receiving one;
= P( x<=1) = P( x= 0) = 0.5429
e) expected average time = 0.04 x 4.5 + 0.96 x 3 = 3.06hours
Hence, The average time allowed the 15 selected students to be 3.06hours
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Timmy drank 2 quarts of water yesterday. He drank twice as much water today as he drank yesterday.
How many cups of water did Timmy drink in the two days
Answer:
24 cups or 6 quarts
Step-by-step explanation:
2 x 2 = 4 4 + 2 = 6
6 x 4 = 24
Which to ordered pairs represent a proportional relationship?
Answer:
I think they will match if they have a relationship so A. But, i also think it could be different it's like humans they aren't all the same. :)
Step-by-step explanation:
Those were my reasons and thats pretty much what you think or make it is what it is so best idea is to work it out. :)
An entity has the following balances: Bank: R5 000; Machinery: R3 000: Trade payables: R2 000.
The equity of the entity according to the basic accounting equation is …
NB: Instructions
1. Use a full stop to indicate any decimals (eg: 1000.01)
2. Only show the amount, do not show the R (eg: 12141.72)
The equity of the entity, according to the basic accounting equation, is R6 000. The basic accounting equation is Assets = Liabilities + Equity. To find the equity of the entity, we need to subtract the total liabilities from the total assets.
Bank balance: R5 000
Machinery balance: R3 000
Trade payables: R2 000
Total assets = Bank + Machinery
= R5 000 + R3 000
= R8 000
Total liabilities = Trade payables
= R2 000
Equity = Total assets - Total liabilities
= R8 000 - R2 000
= R6 000
Therefore, the equity of the entity, according to the basic accounting equation, is R6 000.
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a trapezoid in a coordinated plane has vertices (-2,5) (-3, -2) (2, -2) and (1,5) what is the height of the trapazoid
Answer: 7
Step-by-step explanation:
If you draw it out, you can visually tell it's 5 units, but you can also tell by looking at the two distinct y values, -2 and 5. The distance between them is 7 units, as you take the absolute value of both of them, then add to get 7.
I need help!! I have a bunch of other math questions too-
Answer:
56
Step-by-step explanation:
2x2x2=8 so 7x8=56
Can someone help me with these four please
Answer:
7:59 8:101 9:106 10:94
Step-by-step explanation:
7:180-121=59
8:they are the same
9:they are the same
10:180-86=94
in a secong grade class there are 7 boys there are as twice as much girls how many students are in that class
Answer:
I think the answer is 21 students
Step-by-step explanation:
I think it's 21 students because it said twice as much girls which is telling us to multiply 7 by 2 or 7 plus 2 and in this case the product/sum would be 14, and now we add 7 boys by 14 girls and that will be 21 students altogether.
-Hope this helps
The volume of a rectangular prism is (x3 – 3x2 5x – 3), and the area of its base is (x2 – 2). If the volume of a rectangular prism is the product of its base area and height, what is the height of the prism? x minus 3 StartFraction 7 x minus 9 Over x squared minus 2 EndFraction x minus 3 StartFraction 7 x minus 9 Over x cubed minus 3 x squared 5 x minus 3 EndFraction x minus 3 StartFraction 7 x 3 Over x squared minus 2 EndFraction x minus 3 StartFraction 7 x 3 Over x cubed minus 3 x squared 5 x minus 3 EndFraction.
To solve the problem we will put the values given to us in the formula of volume of a prism.
PrismA prism is a 3d shape whose two sides are the base sides which are polygon, with the other faces as parallelograms.
The height of the prism is \(\dfrac{(x^3-3x^2+5x-3)}{(x^2-2)}\).
ExplanationGiven to us
volume of a rectangular prism = (x3 – 3x2 5x – 3),area of its base = (x2 – 2)the volume of a rectangular prism is the product of its base area and height,As given to us,
\(\rm{ Volume\ of\ prism = Area\ of\ base \times Height \)
\(\rm{ Height=\dfrac{Volume\ of\ prism}{Area\ of\ base}\)
Substituting the values we get,
\(\rm{ Height=\dfrac{(x^3-3x^2+5x-3)}{(x^2-2)}\)
Hence, the height of the prism is \(\dfrac{(x^3-3x^2+5x-3)}{(x^2-2)}\).
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Answer: A
Step-by-step explanation:
on edge 2022
The shadow of a vertical tower is 52.5 meters long when the angle of elevation of the sun is x degrees. The height of the tower is 41 meters. Find the angle of elevation rounded to the nearest degree.
Answer:
Angle of Elevation = 38°
Step-by-step explanation:
Angle of Elevation formula is given as
tan x = Opposite /Adjacent
Where
x = Angle of Elevation
Opposite = Height of the tower = 41 meters
Adjacent = Shadow of the vertical tower = 52.5 meters
Hence:
tan x = 41 m/52.5m
x = arc tan (41 m/52.5m)
x = 37.988141726°
Approximately to the nearest degree x = 38°
Please help me !! would appreciate
The answers that describe the quadrilateral DEFG area rectangle and parallelogram.
The correct answer choice is option A and B.
What is a quadrilateral?A quadrilateral is a parallelogram, which has opposite sides that are congruent and parallel.
Quadrilateral DEFG
if line DE || FG,
line EF // GD,
DF = EG and
diagonals DF and EG are perpendicular,
then, the quadrilateral is a parallelogram
Hence, the quadrilateral DEFG is a rectangle and parallelogram.
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You have been commissioned to perform a study of the relationship between class size and academic performance in elementary school, and you have a chance to take a survey in either one of two comparable cities. The hypothesis is that kids in smaller classes do better. In the first city, you will have permission to gather a random sample of 100 pupils from a wide variety of class sizes, ranging from only 7 all the way up to 45. In the second city you would be able to gather a much larger sample, but the range in class size from which you would be able to gather observations would be much narrower. Are there tradeoffs involved in deciding which city to use? Or is the decision straightforward? Explain
The decision between the two cities involves tradeoffs: the first city offers a wide range of class sizes but a smaller sample, while the second city has a larger sample but a narrower class size range.
The decision of which city to choose for the study involves tradeoffs. The first city allows for a wide range of class sizes, providing a comprehensive analysis of the relationship between class size and academic performance. However, the smaller sample size limits generalizability.
The second city offers a larger sample size, increasing generalizability, but with a narrower range of class sizes. Researchers should consider their specific research objectives, available resources, and constraints. If the goal is to assess the impact of extreme variations in class size, the first city is suitable. If obtaining highly generalizable results is paramount, the second city, despite the narrower range, should be chosen.
Therefore, The decision between the two cities involves tradeoffs: the first city offers a wide range of class sizes but a smaller sample, while the second city has a larger sample but a narrower class size range.
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b. Is y a function of x?
y = 9.6x
Answer:
Yes, y is a function of x.
Explanation:
Based on the information given, the equation will be y = 9.6x.
From the equation given, it was stated that the amount Lin's sister earns at her part-time job is proportional to the number of hours she works and that she earns $9.60 per hour.
Therefore, writing the equation in the form y=kx to describe this situation will be:
y = (9.6 × x)
y = 9.6x
Which graph(s) would a linear model be best?
A. 2 and 3
B. 1 and 4
C. 2 and 5
D. 3 and 6
Answer:
D. 3 and 6
A linear model would be best for Scatterplots 3 and 6.
1.
tice
Choose the correct answer.
Use the following information for
questions 1 and 2.
Angel is planning to pour a concrete slab around
a circular fountain in his yard. The slab will be
6 inches tall. The drawing below shows a top
view of the slab and the fountain.
10 ft
A.
B.
C.
D.
2 ft
What is the approximate volume of
concrete that Angel will use?
8 ft
10 cubic feet
15 cubic feet
30 cubic feet
180 cubic feet
2. Concrete costs $8 per cubic foot, and
Angel is going to hire a contractor at
$50 per hour to help with the project. If
the project takes 4 hours, how much can
Angel expect to spend in all?
A. $120 232
B. $280
C. $320
D. $470
The closest value to 6.28 is 10 cubic feet. Therefore, the correct answer is: A. 10 cubic feet
To calculate the approximate volume of concrete that Angel will use, we need to determine the volume of the slab.
The slab is in the shape of a cylinder, and its volume can be calculated using the formula:
V = πr²h
where V is the volume, r is the radius, and h is the height of the cylinder.
From the given information, we know that the slab is 6 inches tall. However, we need to convert the dimensions to the same unit before proceeding with the calculations. Let's convert the dimensions to feet:
Height = 6 inches = 6/12 feet = 0.5 feet
Radius = 2 feet
Now we can substitute the values into the formula to find the volume:
V = π(2²)(0.5)
= π(4)(0.5)
= 2π cubic feet
Approximating π to 3.14, we can calculate the volume:
V ≈ 2(3.14)
≈ 6.28 cubic feet
Therefore, the approximate volume of concrete that Angel will use is 6.28 cubic feet.
Looking at the given answer choices, the closest value to 6.28 is 10 cubic feet. Therefore, the correct answer is:
A. 10 cubic feet
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Someone help with this please
Both and must be 0 for the particle to be at rest.
Explain about the Parameter?The entire population under study is described by a parameter. For instance, we'd like to know what a butterfly's typical length is. This qualifies as a parameter because it provides information about the entire butterfly population.
A parameter is a value that affects a mathematical object's behavior or output while being perceived as being constant. Variables and parameters are closely related, and sometimes the distinction is merely a matter of perspective.
A function receives a named variable as a parameter. Function arguments are imported using parameter variables.
Each member of the population has a numerical attribute known as a parameter. A parameter would be something like the population's average or mean value. A statistic, on the other hand, is a numerical characteristic of the sample or subsample.
x = t - 3 , y = t² - 2t
x = t - 3
Add 3 to both sides of the equation
t = x + 3
Replace t in the equation for y to get the equation
y = (x + 3)² - 2(x + 3)
Simplify (x + 3)² - 2(x + 3)
y = x² + 4x + 3
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The values which the particle is rest is Both and must be 0.
Explain about the Parameter?The entire population under study is described by a parameter. For instance, we'd like to know what a butterfly's typical length is. This qualifies as a parameter because it provides information about the entire butterfly population.A parameter is a value that affects a mathematical object's behavior or output while being perceived as being constant. Variables and parameters are closely related, and sometimes the distinction is merely a matter of perspective.A function receives a named variable as a parameter. Function arguments are imported using parameter variables.Each member of the population has a numerical attribute known as a parameter. A parameter would be something like the population's average or mean value. A statistic, on the other hand, is a numerical characteristic of the sample or subsample.x = t - 3 , y = t² - 2t
x = t - 3
Add 3 to both sides of the equation
t = x + 3
Replace t in the equation for y to get the equation
y = (x + 3)² - 2(x + 3)
Simplify (x + 3)² - 2(x + 3)
y = x² + 4x + 3
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Karen rented a truck for one day. There was a base fee of $12.00, and there was an additional charge of 6 cents for each mile driven. The total cost, C (In dollars) for driving x miles is given by the following. C=12.00+0.06x what is the total rental cost if Karen drove 40 miles?
Answer:
$14.04
Step-by-step explanation:
base fee: $12.00
per mile: 0.06
miles driven: 40 miles
0.06 x 40= 2.04
12.00 + 2.04= 14.04
The cost would be $14.04
What polygon is shown?
Answer:
Pentagon
Step-by-step explanation: