The domain of a relation is
Answers
Answer : The domain of a function or relation is the set of all possible independent values the relation can take. It is the collection of all possible inputs. The range of a function or relation is the set of all possible dependent values the relation can produce from the domain values.
Related Questions
An observer at the top of a tower of height 20m sees a man due to east of him at an angle of depression of 27 degree. he sees another man due to south of him at an angle of depression of 30 degree. find the distance between the men on the ground
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If the observer at the top of tower of height 20 m sees a man due east at angle of depression of 27 and another man at angle of 30 , then the distance between the men on the ground is 52.4 m .
The Observer is sitting at the top of the tower of height 20m .
he sees a man that is due to east of him at an angle of depression of 27 ;
and he sees another man which is due to south of him with the angle of depression as 30 .
From the above data the figure formed is drawn below .
From the figure , tan27° = 20/b ⇒ b = 20/tan27° ,...equation(1)
and tan30° = 20/a ⇒ a = 20/tan30° ,...equation(2)
the triangle BCD forms a Right triangle ;
So , a² + b² = c²
Substituting the values form equation(1) and equation(2) ,
we get ;
c = √(a² + b²)
= √(20/tan30°)² + (20/tan27°)²
= √(34.64)² + (39.25)² ⇒ 52.35
≈ 52.4 m .
Therefore , the distance between the men is 52.4 m.
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A rope is 66 feet long. It is cut into two pieces such that one piece is half the length of the other. What is the length of the longer piece of rope?
22 feet
26 feet
33 feet
44 feet
136 degrees
Answers
Answer:
Step-by-step explanation:
So if one bit of the length, is half the size of the other bit then we can make the following equation, for x being the length of rope:
x + 2x = 66
3x = 66
x = 22
That is the length, of the smaller one (half the big one), so 2x = 44. Hence d) is your answer.
Hope I helped!
Factor completely.
121x^2 – 144
Answers
Answer: (11x+12)(11x−12)
Step-by-step explanation: (11x+12)(11x−12) (11x+12)(11x+−12) (11x)(11x)+(11x)(−12)+(12)(11x)+(12)(−12) 121x2−132x+132x−144 121x^2-144
Assume that F is a conservative vector field. (a) What is the definition of a vector field F' being conservative? How do we check if
a vector field is conservative?
(b) If things are "nice" (*all curves are simple curves in a simply connected region D, all functions are continuously differentiable on D), what can we say about the
line integrals of F over curves C1 and Cs which start and end at the same point.
(c) If things are "nice," what can we say about line integrals of F over curves C1 and -Ci, the same curve in the opposite direction? (Do we need to fact that F is
conservative?)
(d) If things are "nice," what can we say about line integrals of F over curve C where
C is a simple closed curve.
Answers
(a) If the curl of F is zero, then F is conservative.
(b) the line integrals of F over curves C1 and Cs which start and end at the same point are equal.
(c) the same curve in the opposite direction are equal.
(d) the line integral of F over a simple closed curve C is zero.
What is the linear function?
A linear function is defined as a function that has either one or two variables without exponents. It is a function that graphs to a straight line.
(a) A vector field F is conservative if it is the gradient of a scalar potential function f, i.e., F = ∇f.
To check if a vector field is conservative, we can compute the curl of F. If the curl of F is zero, then F is conservative. Mathematically, this can be expressed as curl(F) = 0.
(b) If things are "nice," i.e., all curves are simple curves in a simply connected region D and all functions are continuously differentiable on D, then the line integrals of F over curves C1 and Cs which start and end at the same point are equal. Mathematically, this can be expressed as ∫C1 F · dr = ∫Cs F · dr.
(c) If things are "nice," then the line integrals of F over curves C1 and -Ci, the same curve in the opposite direction, are equal. This result holds even if we do not know that F is conservative. Mathematically, this can be expressed as ∫C1 F · dr = -∫Ci F · dr.
(d) If things are "nice," then the line integral of F over a simple closed curve C is zero. This result holds if and only if F is conservative. Mathematically, this can be expressed as ∮C F · dr = 0 if and only if F is conservative.
Hence, (a) If the curl of F is zero, then F is conservative.
(b) the line integrals of F over curves C1 and Cs which start and end at the same point are equal.
(c) the same curve in the opposite direction are equal.
(d) the line integral of F over a simple closed curve C is zero.
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The weight of an object on the moon is of its weight on Earth. Write 1/6 as a decimal.
Answers
Answer:
1/6 as an decimal would be, 0.1666 Continued
Step-by-step explanation:
Answer:
0.1666 continuing
Step-by-step explanation:
This is 1/6 as a decimal
A coordinate grid showing Time in hours on the x-axis and Distance from Start in miles. A line plotted passing through the 2 points at (0, 0) and (3, 180).
Abigail drives at an average speed of 60 miles per hour for 3 hours. The graph shows her distance versus time. Which statements are true? Check all that apply.
As Abigail’s time increases, her distance increases.
As Abigail’s time increases, her distance decreases.
At 2 hours, Abigail has traveled 120 miles.
At 1.5 hours, Abigail has traveled 100 miles.
At 3 hours, Abigail has traveled 180 miles.
Answers
Answer: 1,3, and 5
1.) As Abigail’s time increases, her distance increases.
3.) At 2 hours, Abigail has traveled 120 miles.
5.) At 3 hours, Abigail has traveled 180 miles.
Step-by-step explanation: i hope this helps :)
A, C, E
As Abigail’s time increases, her distance increases.
At 2 hours, Abigail has traveled 120 miles.
At 3 hours, Abigail has traveled 180 miles.
Step-by-step explanation:peep the attachment
a basketball player with a poor foul-shot record practices intensively during the off-season. he tells the coach that he has raised his proficiency from 60% to 80%. dubious, the coach asks him to take 10 shots, and is surprised when the player hits 9 out of 10. did the player prove that he has improved?
Answers
The probability he can hit at least 9 of 10 shots anyway is 0.0463 or 4.63%
Divide the total number of outcomes by the entire number of different ways an event could happen to arrive at the probability. There are differences between probability and odds. Odds are determined by dividing the probability of a situation happening by the probability that it won't happen. Probability is a metric used to determine how likely an event is to occur. The likelihood that the coin will land with the heads side up is measured using the probability concept when we toss it in the air. Here is an example of how probability is used in everyday life that you probably already know about. Prior to a major outing, we always consult the weather prediction.
Given\(=60\)%\(=0.60\)
n\(=10\)
Definition binomial probability:
\(P(X=k)=(n^{k} )*(P^{k} )*(1-P)^{n-k}\)
Evaluate for \(k=9\) and \(k=10\)
P\((X=9)=0.0403\)
P\((X=10)=0.0060\)
Add the corresponding probabilities:
P\((x\geq 9)=P(X=9)+P(X=10)=0.0403+0.0060=0.0463=4.63\)%
Command Ti83/84 command: binompdf(10,0.60,9)+binompdf(10,0.60,10)
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Recall: Sampling Distributions Consider any population. Then for any n ,the sampling distribution of the sample mean will have mean Mg = Hy and standard deviation of a Consider a population that is N(Hz, Ox). Then for any n, the sampling distribution of the sample mean is normally distributed with mean Hz = Hly and standard deviation of x • . Central Limit Theorem (CLT): Consider any population with mean My and standard deviation Oy. Then for n large (n 2 30), the sampling distribution of the sample mean is approximately normal with mean Hz = Hly and standard deviation ох x √n = 3. 1) A company making electronic equipment experiences a production stoppage on average of one time per month. Assume the number of stoppages per month can be modeled according to a random variable X- ~ POIS (1) a) Complete the following table for this random variable. PARAMETERS Notation Numerical Value Mean Variance Standard Deviation
Answers
The Poisson distribution with a parameter λ = 1 accurately models the production stoppages, where on average, the company experiences one stoppage per month with a relatively small amount of variability.
The scenario describes a company's production stoppages, which can be modeled using a Poisson distribution with a parameter (mean) of λ = 1. In a Poisson distribution, the mean, variance, and standard deviation are all equal.
The mean (μ) represents the average number of stoppages per month, which in this case is 1. This means that, on average, the company experiences one production stoppage per month.
The variance (σ^2) also has a value of 1 in a Poisson distribution. It measures the spread or variability of the data around the mean. In this case, the variance of 1 indicates that there is some fluctuation in the number of stoppages, but it is relatively small.
The standard deviation (σ) is equal to the square root of the variance, which is also 1 in this scenario. It represents the average amount of deviation from the mean. A standard deviation of 1 suggests that most of the observations will be within one unit of the mean.
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BRAINLIES AND 30 POINTS PLS HELP
. Why is using iodine helpful when looking at cells?
Answers
Answer:
As a biological stain, iodine is useful for studying plant cells because it stains starch blue-black and in animal tissue, it can help in the demonstration of nuclei and cell membranes
Answer: Iodine is also a useful stain. When studying plant cells, iodine is used. Because it is a starch indicator, it reacts with starch and turns blue-black. Iodine can also be used as a stain on animal cells, making the cell membrane and nucleus appear more visible
Step-by-step explanation:
PLZ HELP ME WITH THIS QUESTION!?!
Answers
Answer:
8.333333333333333
Step-by-step explanation:
Answer:
25/3 - Or in a simpler form 8 1/3
Step-by-step explanation:
I multiplied 15 by 5/9. I hope this helps :)
For cones with radius 6 units, the equation V=12πh relates the height h of the cone, in units, and the volume V of the cone, in cubic units.
Answers
The graph of the equation is attached below and this can be determined by using the formula of the volume of the cone and the slope-intercept form of the line
Given :
For cones with a radius of 6 units, the equation V=12h relates the height h of the cone, in units, and the volume V of the con, in cubic units.
The volume of the cone is given by the formula:
v = 1/3. π .r².h
Now, substitute the value of r in the above formula.
v = 12πh
Now, compare this equation with a slope-intercept form which is given by:
y = mx + c
where m is the slope and c is the y-intercept.
From comparing the equation, it can be concluded that:
y = V
x = h
c = 0
m = 12
Now, draw the graph of the line that passes through the origin. The graph is attached below.
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What are appropriate ways of write "6 times x"?
Answers
Answer:
6x or 6(x)
Step-by-step explanation:
6 bracket (x) is a form of saying multiplication
help me im really bad at this stuff
Answers
Answer:
We conclude that the estimated volume of a cylinder is 288 in.³
Step-by-step explanation:
Given
r = 3.75 inchesh = 6.21 inchesThe formula to determine the volume of a cyliner is:
\(V=\pi r^2h\)
substituting the values r = 3.75 inches, h = 6.21 inches, and π = 3.14 in the formula to calculate the volume of a cylinder.
\(V=\pi r^2h\)
\(V=\left(3.14\right)\left(3.75\right)^2\times 6.21\)
\(V=274\) in.³
Therefore, from the given options, we conclude that the estimated volume of a cylinder is 288 in.³
Can someone help me please?
Answers
Answer: Hi
Step-by-step explanation:
The answer is b
What is the distance between the two hydrogen atoms in the hydrogen molecule? Is this distance fixed? Or, does it tend to oscillate?
Answers
The distance between the two hydrogen atoms in a hydrogen molecule is not fixed and tends to oscillate. The hydrogen molecule is composed of two hydrogen atoms that are held together by a covalent bond. The bond length, which is the distance between the two hydrogen nuclei, is determined by the balance between attractive and repulsive forces between the atoms.
The oscillation of the bond length arises from the quantum mechanical nature of the system. According to quantum mechanics, the electrons in the hydrogen molecule exist in certain quantized energy levels and can be described by wave functions. These wave functions give rise to electron density distributions around the hydrogen nuclei.
As the electrons move within these energy levels, the electron density distribution changes, affecting the balance of forces between the nuclei. This leads to fluctuations in the bond length. The oscillation of the bond length is known as molecular vibration or molecular stretching, and it occurs around an equilibrium bond length.
The average bond length for a hydrogen molecule is approximately 74 picometers (pm), but it can fluctuate around this value. These oscillations are quantized, meaning they can only take on certain discrete values determined by the energy levels and vibrational modes of the molecule.
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Les is sending 8 identical catalogs to one of his customers.
If the package with the catalogs weighs 6.80 pounds, how much does each catalog weigh?
Answers
Answer:
0.85
Step-by-step explanation:
divide 6.80 by eight and it gives you 0.85. Hope this helped!
Help meeeeeeeeeeeeeee pls
Answers
Answer:
-3.5
all u have to do is get the 2 and the 7 and just subtract and the 8 and 10
help asap algebra easy question!!!
Answers
Answer: - a/8
Multiply - a/4 by 2 to get common denominator of eighths
a/8 - 2a/4 = - a/8
Answer:
a/8 is the correct answer.
To get the common denominator of eighths, multiply a/4 by 2.
2a/4 - a/8 = a/8
A two digit number is written at random what is the probability that the number will be odd
Answers
Answer:
50%
Step-by-step explanation:
So there are 90 2 digit numbers. There are 45 2 digit odd numbers.
The probability should be 50%
Let R=[0,4]×[−1,2] . Create a Riemann sum by subdividing [0,4] into m=2 intervals, and [−1,2] into n=3 subintervals, then use it to estimate the value of
∬R(1−xy2)dA.
Take the sample points to be the upper left corner of each rectangle.
Answers
A Riemann sum by subdividing [0,4] into m=2 intervals, and [−1,2] into n=3 subintervals is 2[-7xy² + 3] and estimated value of the double integral is 316.
We have m=2 intervals for [0,4], so Δx = (4-0)/2 = 2. Similarly, we have n=3 subintervals for [−1,2], so Δy = (2-(-1))/3 = 1. Hence, the area of each sub-rectangle is ΔA = Δx Δy = 2*1 = 2.
The sample points for the upper left corner of each rectangle are:
(0,-1), (2,-1), (4,-1), (0,0), (2,0), (4,0)
Using these sample points, the Riemann sum for the given function is:
ΔA[(1-xy²) + (1-2x y²) + (1-4xy²) + (1-0) + (1-220) + (1-440)]
= 2[-xy² - 2xy² - 4xy² + 1 + 1 + 1]
= 2[-7xy² + 3]
Now, we need to sum up this expression for all sub-rectangles:
∬R(1−xy2)dA ≈ Σ(2[-7xy² + 3]) for i=1 to 2, j=1 to 3
= 2[-7(0)(-1)² + 7(0)(0)² + 7(0)(1)² - 7(2)(-1)² + 7(2)(0)² + 7(2)(1)² + 7(4)(-1)² + 7(4)(0)² + 7(4)(1)²2 + 3(6)]
= 2[-7(2) + 7(2) + 7(0) - 7(2) + 7(0) + 7(2) + 7(4) + 7(0) + 7(4) + 18]
= 2[14 + 14 + 56 + 56 + 18]
= 2(158)
= 316
Therefore, the estimated value of the double integral is 316.
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Help please!! Asap!! i’ll give brainly!
Answers
Answer:
For 21: The first option (the uppermost) is correct for question 21. When it is no greater than, it implies that it can be equal to the number.
For 22: x+637 ≤ 2000, let x be the money he can spend for everything else.
Let me know if this helps!
Answer:
well when he buys the ticket he is left with 1,363 dollars
Step-by-step explanation:
A, B & C lie on a straight line. G, B & F lie on a different straight line. D, E & F lie on a straight line parallel to AC. DEB = 104°. GBA = 24°. Work out EBF.
Answers
The measure of angle EBF is 80° .
In the question ,
it is given that ,
point A, B and C lie on a straight line .
and G , B and F lie on a different straight line .
angle GBA = 24° so ,
GBA + GBC = 180° ...because linear pair
So , GBC = 180 - 24 = 156°
angle CBF = 24° ......because vertically opposite angles are equal .
from the figure , we see that angle GBC and angle ABF are vertically opposite angles , so ,
156° = ABE + EBF .....(1)
Since the line AC and DF are parallel and BE is the transversal
So , angle DEB + angle ABE = 180°
104° + ABE = 180°
ABE = 180-104
ABE = 76°
Substituting ABE = 76° in the equation (1) ,
we get ,
156 = 76+ EBF
EBF = 156 - 76
EBF = 80°
Therefore , The measure of angle EBF is 80° .
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(Pre-cal polynomial functions) When I'm finding the zeros of x^4 + 2x^2 - 3, how do I know when to implement imaginary numbers for the answer? ( +- [root3] vs. +- i[root3] ).
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Given:
\(x^4+2x^2-3=0\)We will find the zeros of the function:
Factor the given function:
\(\begin{gathered} (x^2+3)(x^2-1)=0 \\ x^2-1=0\rightarrow x^2=1\rightarrow x=\pm1 \\ x^2+3=0\rightarrow x^2=-3\rightarrow x=\pm i\sqrt[]{3} \end{gathered}\)So, there are four zeros
So, the answer will be:
\(x=\mleft\lbrace-1,1,i\sqrt[]{3},-i\sqrt[]{3}\mright\rbrace\)PLSSSS HELP IF YOU TRULY KNOW THISSS
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To write 80% as a decimal, you divide the percentage by 100.
80% = 80/100 = 0.8
Therefore, 80% is equal to 0.8 as a decimal.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Please help with the answer
Answers
Answer:
HOPE THIS HELPS YOU OUT!!! :)
Light travels at a speed of 3.00 x 10^10 cm/sec. What is the speed of light in km/hr?
Answers
Answer:
100 centimeter = 1 meter
1000 meter is 1 kilometer.
so speed is 300000 kilometer/second.
Step-by-step explanation:
There are 3600 seconds in one hour, multiply with 3600=
1080 000 000 kilometer/hour.
Answer:
1.08^9km/hr
Step-by-step explanation:
3 x 10^10cm/ 1s
(3 x 10^10 ÷100÷1000)km / 1÷60÷60
=1.08^9km/hr
The table shows a company’s profit based on the number of pounds of food produced. A 2-column table with 5 rows. The first column is labeled pounds of food produced with entries 100, 250, 500, 650, 800. The second column is labeled profit (dollar sign) with entries negative 11,000; 0; 10,300; 11,500; 9,075. Using the quadratic regression model, which is the best estimate of the profit when 350 pounds of food are produced? $5,150 $5,300 $10,150 $11,000
Answers
Answer: $5300
Step-by-step explanation:
Pounds of food produced - - - - - - profit($)
100 - - - - - - - - - - - - - - - - - - - - (- 11,000)
250 - - - - - - - - - - - - - - - - - - - - - 0
500 - - - - - - - - - - - - - - - - - - - - 10,300
650 - - - - - - - - - - - - - - - - - - - - 11,500
800 - - - - - - - - - - - - - - - - - - - - 9,075
Using the quadratic regression calculator, with a general form of equation:
y=Ax^2+Bx+C
y = 0.0186x^2 - 11.3241x + 8422.2857
With the equation obtained, we can estimate the profit when 350 pounds of food are produced.
Here, x = 350
y = - 0.0817x2 + 102.2355x - 20420.955
y = - 0.0817(350)^2 + 102.2355(350) - 20420.955
y = - 10008.25 + 35782.425 - 20420.955
y = $5353.22
Answer:
B.$5,300
Step-by-step explanation:
Please answer.
Answers
Answer:
c. 50/1
Step-by-step explanation:
i hope this helps :)
Let m = x^2 - 5
Which equation is equivalent to (x^2-5)^2 - 3x^2 + 15= -2 in terms of m ?
A m^2+3m+2=0
B m^2-3m+17=0
C m^2-3m+2=0
D m^2+3m+17=0
Thanks!
Answers
The equivalent equation to the (x² - 5)² - 3x² + 15 = -2 in form of 'm' is given by option c. m² -3m + 2 = 0.
The equation is equal to,
(x² - 5)² - 3x² + 15 = -2
let the value of m be equals to x² - 5.
Simplify the equation we have,
⇒ ( x² - 5 )² - 3x² + 15 = -2
Take '3' common factor from the 3x² + 15 so that it get convert into x² - 5 we get,
⇒ ( x² - 5 )² - 3 (x² - 5 ) = -2
Now replace x² - 5 by m to get the equivalent equation,
⇒ ( m )² - 3 (m ) = -2
⇒ m² -3m + 2 = 0
Therefore, the equivalent equation to the given equation is written as option c. m² -3m + 2 = 0.
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Asymptote (horizontal) of f(x)=2(3)^-x
Answers
The Value of the horizontal asymptote is 0
What is horizontal asymptote?
The horizontal asymptote of a function y = f(x) is a line y = k and to calculate the horizontal asymptote please substitute \(x=\)±∞. We can also find the vertical asymptote.
now we are given a function
\(f(x)=2(3)^{-x}\)
Now substitute x=±∞ in the equation, as the x in denominator we get
f(x)= 0
This is the value of the horizontal asymptote
Hence the value of horizontal asymptote comes out to be 0
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