Answers
The vertices of triangle DEF after dilation are D'(4, -M), E'(-2, M) and F'(-2, -M)
What is dilation?Dilation means changing the size of an object without changing its shape. The size of the object may be increased or decreased based on the scale factor.
Given a triangle DEF which is being dilated by a dilation factor of (2,M) we need to find the vertices of the image,
The vertices before dilation are D(2, -1), E(-1, 1) and F(-1, -1)
Since, the dilation factor is (2,M), so the new vertices are,
D'(2×2, -1×M)
D'(4, -M)
E'(-1×2, 1×M)
E'(-2, M)
F'(-1×2, -1×M)
F'(-2, -M)
Hence, the vertices of triangle DEF after dilation are D'(4, -M), E'(-2, M) and F'(-2, -M)
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Related Questions
WILL GIVE BRAINLIEST cylinder has a volume of 1 and one sixteenth in3 and a radius of one fourth in. What is the height of a cylinder? Approximate using pi equals 22 over 7.
119 twelfths inches
119 over 22 inches
119 over 44 inches
119 over 56 inches
Answers
The height of the cylinder is 119/22 inches or 5.41 inches.
What is the area and volume of a right circular cylinder?The volume of a Right Circular Cylinder. In general, the volume of a right cylinder is the area of the base times the height of the cylinder. The area of the circular base is given by the formula A = πr2. Substitute to get V = πr²h.
Given here: Volume of the cylinder = 1¹/₁₆ in³ and radius of 1/4
We know the volume of the cylinder is equal to
V=πr²h
17/16 = 22/7 × 1/16×h
h=17×7 /22
h=119/22
h=5.41 inches
Hence, The height of the cylinder is 119/22 inches or 5.41 inches.
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The answer is B, 119/22 inches
someone please help. I’ve been stuck on this question for like the past hour .
please someone find a solution for me and answer those questions i will rephrase it. Thank you.
Answers
The answers to the questions are illustrated below with easy explanations.
What is a graph?The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.
These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.
1. a. The graph of the function remains constant after 14 seconds so her walk took 14 seconds.
b. She traveled 14×4 = 56 meters in total as distance = speed×time.
c. She ends up (4 - 0.5)m = 3.5m away from her starting point.
d. She stopped when the graph of the function remains constant and it is from 5 to 7 seconds and she completely stopped after 14 seconds.
e. No, She didn't walk in one direction as the graph is increasing and decreasing at different time intervals indicating motion in different directions and it is the net distance from her starting point.
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find parametric equations for the line that is tangent to the given curve at the given parameter value. r(t)
Answers
Parametric equations for the tangent line to the curve with the given parametric equations at the specified point are
x=s
y=1-4s
z=0
Derivatives of a function in parametric form: There are instances when rather than defining a function explicitly or implicitly we define it using a third variable. This representation is when a function y(x) is represented via a third variable which is known as the parameter is a parametric form. A relation between x and y can be expressible in the form x = f(t) and y = g(t) is a parametric form representation with parameter as t
In mathematics, a parametric equation defines a group of quantities as functions of one or more independent variables called parameters.
At the point (0, 1,0) t = 0
Find the tangent vector:
[tex]\frac{dx}{dt}=1=x_t\\y_t=\frac{dy}{dt}=-4e^{-4t}\\\\Z_t=5-5t^4[/tex]
The tangent vector for all points is
[tex]v(t)=i-4e^{-4t}j+(5-5t^4)k\\\\v(0)=i-4j[/tex]
The vector equation of the tangent line is
(x,y,z0=(0,1,0)+s(i-4j)
The parametric equation for this line is
x=s
y=1-4s
z=0
The complete question is -
Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. x = t, y = e−4t, z = 5t − t5; (0, 1, 0) x(t), y(t), z(t) = t,1−4t,5t Illustrate by graphing both the curve and the tangent line on a common screen.
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how are your expressions from parts (a) and (b) different? what is the difference between the two? (ignore the constant of integration.) (answer from b) (answer from a)
Answers
Both of the solutions differ in their constant integration.
A. ∫6x³(x⁴+1)dx
if we apply the distributive property:
∫6x³(x⁴+1)dx = ∫(6x⁷+ 6x³)dx = (6/8)x⁸ + (6/4)x⁴ + C = (3/4)x⁸ + (3/2)x⁴ + C
A. ∫6x³(x⁴+1)dx
If we use the substitution
w = x⁴+1
⇒ dw = 4x³dx ⇒ x³dx = (1/4)dw
we have
∫6x³(x⁴+1)dx = 6∫w*(1/4)dw = (6/4)∫w dw = (3/2) (w²/2) + C = (3/4)w² + C
returning the change we get
∫6x³(x⁴+1)dx = (3/4)(x⁴+1)² + C
For these answers, we can apply Notable Identities as follows
(x⁴+1)² = (x⁴)² + 2*x⁴*(1) + (1)² = x⁸ + 2x⁴ + 1
then
(3/4)(x⁴+1)² + C₂ = (3/4)(x⁸ + 2x⁴ + 1) + C = (3/4)*x⁸ + (3/2)*x⁴ + (3/4) + C
We can assume (3/4) + C as a constant, then
∫6x³(x⁴+1)dx = (3/4)*x⁸ + (3/2)*x⁴ + C
Both of the solutions differ in their constant integration.
Both solutions are primitive of the same function, which must only fulfill a condition that is to differentiate into a constant, and in this case, they fulfill it.
It is not usual that using different methods of integration obtain different primitives, but it is not uncommon, there are quite a few known cases in which this happens and absolutely nothing happens.
It is normal. Two functions that differ in a constant have the same derivative and therefore, both functions are primitive of that same derivative.
C is often forgotten as a result.
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19. Identify the wrong statement. A. At equilibrium, the market clears for there is neither burdensome surplus for the suppliers nor inconvenience storage for the buyers. The market demand (supply) curve is flatter than the individual demand (supply) monopoly market. curves in a non- C. Your demand for soap represents the amount that you are willing to buy at all possible prices, citrus paribus. D. If population size for a market decreases, the price of the commodity in that market will fall, citrus paribus. 20. Which of the following is a basic economic question that every economy should try to resolve? What to produce C D B. How to produce 21. One of the following statements commits a post-hoc fallacy A. B. A. C B. Ethiopia is a developing country. It is because of president bush's visit to Germany that the Ethiopian agriculture is backward. Rise in prices leads to fall in quantity demand All of the above. D 22. From the PPF the law of increasing opportunity cost is implied by A. C. The negative slope of the curve The concavity of the curve For whom to produce All of the above. Worksheet-Introduction to Economics D. the menu of alternatives All of the above 2
Answers
19. We can see here the wrong statement is:
B. The market demand (supply) curve is flatter than the individual demand (supply) monopoly market.
20. D. All of the above reveals basic economic question that every economy should try to resolve.
21. The statement that commits a post-hoc fallacy is: B. It is because of president bush's visit to Germany that the Ethiopian agriculture is backward.
22. From the PPF the law of increasing opportunity cost is implied by
A. The negative slope of the curve
What is post-hoc fallacy?A logical fallacy known as post hoc occurs when one occurrence is assumed to be the reason for a subsequent event just because it happened earlier (also known as post hoc, ergo propter hoc).
We see here that the given answers above are actually correct.
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A terminating decimal, suchas 0.75, has an exact numberof nonzero digits. Which of the following fractions cannot be written as a terminating decimal
Answers
The solution is, 0.75 can be written as fraction = 3/4.
What is fraction?A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.
here, we have,
A terminating decimal, such as 0.75, has an exact number of nonzero digits.
so, it can be written as fraction
0.75
=75/100
=3/4
Hence, The solution is, 0.75 can be written as fraction = 3/4.
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The cost in dollars to produce x shovels in a factory is given by the function C(x)=12x+450. The number of shovels that can be produced in h hours is given by the function N(h)=40h.Find the rule for C(N(h)).Find the cost when h=8 hours.
Answers
The rule of functions to solve for C(N(h)) is composition of functions. The cost when h = 8 hours is $3680.
To solve C(N(h)), the rule used is composition of functions, where the output of one function N(h) is used as the input to another function C(x).
First, evaluate C(x) to get its output and then plug that output into N(h) to get the final output.
Given the two functions, the cost in dollars to produce x shovels, C(x) = 12x + 450, and the number of shovels that can be produced in h hours, N(h) = 40h, we can find the cost when h hours of production time is used by finding C(N(h)).
To find C(N(h)), we first find N(h) to get the number of shovels produced in h hours and then plug that into C(x) to find the cost:
C(N(h)) = C(40h) = 12(40h) + 450 = 480h + 450
So, the rule for C(N(h)) is C(N(h)) = 480h + 450.
When h = 8 hours, the cost to produce shovels is given by C(N(8)) = 480(8) + 450 = 3680 dollars.
Therefore, it will cost $3680 to produce shovels in 8 hours.
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Choose the correct graph for the inequality −3x − 3y < 6. The graph shows a solid line, which passes through a point negative 2 comma 0 and a point 0 comma negative 2, with shading above the line. The graph shows a solid line, which passes through a point negative 2 comma 0 and a point 0 comma negative 2, with shading below the line. The graph shows a dashed line, which passes through a point negative 2 comma 0 and a point 0 comma negative 2, with shading above the line. The graph shows a dashed line, which passes through a point negative 2 comma 0 and a point 0 comma negative 2, with shading below the line.
Answers
Option C is correct, the graph shows a dashed line, which passes through a point negative 2 comma 0 and a point 0 comma negative 2, with shading above the line.
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
The given inequality is −3x − 3y < 6
Minus three times of x minus three times of y less than six.
Now let us solve for y
-3y<6+3x
Divide both sides by 3
-y<2+x
y>-x-2
The graph of the inequality is given in the attachment.
When we observe the graph the line is dashed line, which passes through a point negative 2 comma 0 and a point 0 comma negative 2, with shading above the line.
Hence, Option C is correct, the graph shows a dashed line, which passes through a point negative 2 comma 0 and a point 0 comma negative 2, with shading above the line.
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FILL IN THE BLANK random assignment minimizes ______ between experimental and control groups. random sampling minimizes _________between a sample and a population.
Answers
Random assignment minimizes bias between experimental and control groups because it ensures that each group has an equal chance of receiving any given treatment.
Random sampling minimizes bias between a sample and a population because it ensures that each member of the population has an equal chance of being included in the sample.
Random assignment and random sampling are both used to minimize bias between different groups and populations, ensuring that each group or member has an equal chance of receiving any given treatment or being included in a sample.
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Write a rule for g(x)=f(x+2) when f(x)=x4+1
. Then describe the graph of g
as a transformation of the graph of f.
Answers
The rule for function g is:
g(x) = (x + 2)⁴ + 1
And this is a translation of 2 units to the left of f(x).
How to write the rule for g(x)?Here we know that the function f(x) is:
f(x) = x⁴ + 1.
And function g is written as:
g(x) = f(x + 2)
Replacing f(x) we will get:
g(x) = (x + 2)⁴ + 1
That is the rule for g(x).
Now let's identify the transformation.
We know that a horizontal shift of N units is written as:
g(x) =f(x + N)
if N > 0 the shift is to the left.
if N < 0 the shift is to the right.
Here we have:
g(x)=f(x+2)
So this is a shift of 2 units to the left.
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6. A is a relationship between two variables x and y such that every input x produce exact one output y
Answers
The function notation for A would be A(x) = y
How to determine the function notation of AFrom the question, we have the following parameters that can be used in our computation:
A is a relationship between two variables x and y Every input x produce exact one output yThis means that
The function can be expressed as
y = A(x)
This implies that:
The function A relates x and y
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Complete question
A is a relationship between two variables x and y such that every input x produce exact one output y. What is the function notation of A
Which of these statements is true?
Answers
Answer:A and V
correct me if I’m wrong
Or give me more information about the question
Answer questions 31 and 32.
Answers
30. Angle 1 and angle 9 are equal to each other. Then the correct option is C.
31. The value of the expression x + y will be 165°. Then the correct option is C.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
Corresponding angle - If two lines are parallel then the third line. The corresponding angles are equal angles.
30. Angle 1 and angle 9 are the corresponding angles. Then they are equal to each other.
Thus, the correct option is C.
31. Angle x and angle 55° are the corresponding angle.
x = 55°
And angle 70° and angle (180° - y) is the corresponding angle. Then the equations are given as,
70° = 180° - y
y = 110°
Then the value of the expression x + y is given as,
x + y = 55° + 110°
x + y = 165°
Thus, the correct option is B.
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The Blue Knights soccer team is practicing kicking the soccer ball into the goal. To begin, each player attempts kicks for 2 minutes and then reports the fraction of goals they made. Brad, Alice, and Andre report the following fractions: Player Goals Made Brad 4 5 Alice 1 2 Andre 4 6 Graph each fraction on a number line. 1. Which of these players made the greatest fraction of goal i don't know the answerr
Answers
According to the information, the player who scored the most goals in relation to the number of shots he took was Brad.
How to identify the player who scored the most goals?To find the player who scored the most goals in relation to the number of shots we must divide the fraction and place the number on the line. Once we have graphed this data, the highest number would be the one who scored the most goals compared to his attempts.
According to the above, the divisions would be:
4 / 5 = 0.81 / 2 = 0.54 / 6 = 1.6According to the above, Brad was the one who scored the most goals.
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you have a club of fifteen people. you need to pick a president, treasurer, and secretary from the fifteen. how many different ways can you do this? leave answer as whole number, do not include decimals or commas. answer:
Answers
There are 1365 different ways to pick a president, treasurer, and secretary from a club of fifteen people.
The number of ways to pick a president, treasurer, and secretary from a club of fifteen people can be calculated using the formula for combinations:
[tex]C(n,r) = n! / (r! (n-r)!)[/tex]
Where n is the number of people in the club and r is the number of positions to be filled.
In this case, we want to calculate the number of ways to choose 3 people from a group of 15, so n = 15 and r = 3.
Plugging these numbers into the formula, we get:
[tex]C(15,3) = 15! / (3! (15-3)!) = 15! / (3! 12!) = 15*14*13 / (3*2*1) = 1365[/tex]
Therefore, there are 1365 different ways to pick a president, treasurer, and secretary from a club of fifteen people.
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in the board game perfection, individuals must attempt to fit a number of shaped plastic pieces into their matching holes on a board before the buzzer goes off and makes the board spring upward. to make things interesting, a student sets the buzzer to a random time increment anywhere between 20 and 60 seconds. consider time until the buzzer sounds a random variable where any time between 20 and 60 has an equal likelihood.
Answers
The probabilities are equal, the expected time until the buzzer goes off simplifies to E(X) = 40.5.
Let X be a random variable representing the time until the buzzer goes off. X follows a uniform distribution, since any time between 20 and 60 seconds is equally likely. This can be represented by the formula P(X=x) = 1/41, where 41 is the total number of possible times (41 = 60 - 20 + 1).
Using this formula, the probability of the buzzer going off at any particular time can be calculated. For example, the probability of the buzzer going off at 23 seconds is P(X=23) = 1/41. The expected time until the buzzer goes off can also be found by taking the sum of each possible time multiplied by its individual probability. This is calculated as E(X) = Σ(x*P(X=x)). Since all the probabilities are equal, the expected time until the buzzer goes off simplifies to E(X) = 40.5.
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Please help. im confused
what is the inverse matrix that can be used to solve this system of equations?
Answers
The inverse matrix is (b) [tex]\left[\begin{array}{ccc}-19&9&-7\\15&-7&6\\-2&1&-1\end{array}\right][/tex]
How to determine the inverse matrixFrom the question, we have the following parameters that can be used in our computation:
x + 2y + 5z = 14
3x + 5y + 9z = -1
x + y - 2z = 6
When represented as a matrix, we have
[tex]\left[\begin{array}{ccc}1&2&5\\3&5&9\\1&1&-2\end{array}\right][/tex]
The determinant is calculated as
D = 1 * (5 * -2 - 9 * 1) - 2 * (3 * -2 - 9 * 1) + 5 * (3 * 1 - 5 * 1)
Evaluate
D = 1
This means that the matrix is invertible
Next, we calculate the cofactor elements
5 * -2 - 9 * 1 = -19
3 * -2 - 9 * 1 = -15
3 * 1 - 5 * 1 = -2
2 * -2 - 5 * 1 = -9
1 * -2 - 5 * 1 = -7
1 * 1 - 2 * 1 = -1
2 * 9 - 5 * 5 = -7
1 * 9 - 5 * 3 = -6
1 * 5 - 2 * 3 = -1
So, we have
[tex]\left[\begin{array}{ccc}-19&-15&-2\\-9&-7&-1\\-7&-6&-1\end{array}\right][/tex]
Next, create the adjoint or the adjugated matrix
[tex]A = \left[\begin{array}{ccc}-19&15&-2\\9&-7&1\\-7&6&-1\end{array}\right][/tex]
Transpose the adjoint
[tex]A^T = \left[\begin{array}{ccc}-19&9&-7\\15&-7&6\\-2&1&-1\end{array}\right][/tex]
Divide by the determinant
[tex]A^T = \left[\begin{array}{ccc}-19&9&-7\\15&-7&6\\-2&1&-1\end{array}\right][/tex]
Hence, the inverse is (b) [tex]\left[\begin{array}{ccc}-19&9&-7\\15&-7&6\\-2&1&-1\end{array}\right][/tex]
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Use this table to answer the question. Read the question carefully!
Infections in Hospital Infections after Release No Infections Total
Hospital 1 350 110 450 910
Hospital 2 175 210 350 735
Hospital 3 210 35 75 320
Hospital 4 437 587 4300 5324
Hospital 5 89 21 356 466
Hospital 6 67 175 298 540
Total 1328 1138 5829 8295
What was the percent of No Infections for Hospital 4?
Answers
Answer:
Step-by-step explanation:
100 %.
RISE AIRLINES- WE RISE TOGETHER!
With the recent crisis in the country's airline industry failing to meet customer needs and
demand, Rise Airlines is re-evaluating its overbooking policy for its most common routes on
their small aircraft. They have hired your team to perform a study of the cost of overbooking
vs flying with empty seats using several types of demand distributions. They have provided
your team with some information about their last 60 days of flites and cancellations as well as
their estimates on demand. On average, a ticket sells for $200 and there are 50 seats on each
aircraft. The fixed cost for running their operations is $100,000 per DAY and their variable
cost of operations is $2,000 per flite, per day. Rise airlines has the current capacity to fly a
mean of 15 flites a day with a standard deviation of 12. The minimum amount of flites they can
fly per day and still maintain their gate space is 13 and the maximum they can fly before they
run out of functional aircraft is 25. Management is requesting a study of their distributions,
the breakeven point, SL and SO. Management would also like recommendations on which
distribution should be used and what other factors they should consider. In order to prepare
this analysis, you and your team have gathered information and will answer the following
questions using excel, graphs, and the case study shell:
A. What is the expression for total cost per month? Assume 30 days in the month
B. What is the expression for total revenue per month? Assume 30 days in a month
C. How many flites need to fly on a daily basis for Rise to breakeven?
D. What percentage of Rise's total flite capability must be in the air that day?
Hint- set these calculations up in excel to help make any graphics casier.
Answers
The expression for total cost per month is 30(100000+2000f).
What is standard deviation?Standard deviation is the positive square root of the variance. Standard deviation is one of the basic methods of statistical analysis. Standard deviation is commonly abbreviated as SD and denoted by 'σ’ and it tells about the value that how much it has deviated from the mean value.
The standard deviation formula is σ = √∑(xi-μ)²/N
A) The expression for total cost per month
Let the number of flites be f.
Total cost = 30(100000+2000f)
B) The expression for total revenue per month
Rise airlines has the current capacity to fly a mean of 15 flites a day with a standard deviation of 12.
So, total revenue per month
= 30(100000+2000×15)
= $3,900,000
C) Here, σ=12, μ=15, N=60
σ = √∑(xi-μ)²/N
12= √∑(xi-15)²/60
144=(xi-15)²/60
8640=(xi-15)²
xi-15=92.95
xi=108
Therefore, the expression for total cost per month is 30(100000+2000f).
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What is the quotient of 5.688\times 10^95.688×10 9 and 7.9 \times 10^27.9×10 2 expressed in scientific notation?
Answers
[tex]\cfrac{5.688\times 10^{9}}{7.9\times 10^{2}}\implies \cfrac{5.688}{7.9}\times \cfrac{ 10^{9}}{ 10^{2}}\implies 0.72\times 10^{9-2} \\\\\\ 0.72\times 10^{7}\implies 7200000\implies 7.2\times 10^{6}[/tex]
Rewrite the statement (p v ~q) -> (r v q) without using ^, ->, or <->.
Answers
The statement (p v ~q) -> (r v q) can be reworded as: "If either p is true or not q is true, then either r is true or q is true."
What is a conditional statement?A conditional statements are made up of two parts, a hypothesis (represented by p) and a conclusion (represented by q).. We will set down all potential combinations of truth values for our hypothesis and conclusion in a truth table and use those to determine the conditional statement's overall truth.
When a set of conditions are satisfied, a conditional assertion is judged to be true. Sometimes called if-then statements, they begin with a hypothesis and end with a conclusion. For instance, you might explain to a friend that getting a sunburn happens if you walk outside without sunscreen.
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Emmet ran 3/8 of a mile and walked 1/4 of a mile. How much further did he run then walk?
Answers
Emmet ran 1/8 mile further than he walked.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, Emmet ran 3/8 of a mile and walked 1/4 of a mile.
Therefore, The number of more miles he run than he walked can be obtained by subtracting the number of miles he walked from the number of miles he ran which is,
= (3/8 - 1/4) miles.
= (3 - 2)/8.
= 1/8 miles.
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he current I(t) in an electric circuit with inductance L and resistance R is given by equation (4) in Section 13: L *(dI/dt) +RI = E(t), where E(t) is the impressed electromotive force. If I(0) = 0, use the meth- ods of this section to find I(t) in each of the following cases: (a) E(t) = E0u(t); (b) E(t) = E0 8(t); (c) E(t) = E0 sin wt.
Answers
a) The general solution is: I(t) = (E0/R) * (1 - exp(-Rt/L)) * u(t)
b) The general solution is: I(t) = (E0/R) * (1 - exp(-Rt/L)) * 8(t)
c) The general solution is: I(t) = (E0/sqrt(R^2 + (Lw)^2)) * (sin wt + (R/Lw) * cos wt) * exp(-Rt/L)
a) When E(t) = E0u(t) (where u(t) is the unit step function), the solution to the differential equation L *(dI/dt) +RI = E0u(t) can be found using the method of partial fraction expansion.
The general solution is:
I(t) = (E0/R) * (1 - exp(-Rt/L)) * u(t)
b) When E(t) = E0 8(t) (where 8(t) is the impulse function), the solution to the differential equation L *(dI/dt) +RI = E0 8(t) can be found using Laplace transforms.
The general solution is:
I(t) = (E0/R) * (1 - exp(-Rt/L)) * 8(t)
c) When E(t) = E0 sin wt, the solution to the differential equation L *(dI/dt) +RI = E0 sin wt can be found using Laplace transforms or by solving the characteristic equation.
The general solution is:
I(t) = (E0/sqrt(R^2 + (Lw)^2)) * (sin wt + (R/Lw) * cos wt) * exp(-Rt/L
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Edit Distance. Imagine that you are building a spellchecker for a word processor. When the spellchecker encounters an unknown word, you want it to suggest a word in its dictionary that the user might have meant (perhaps they made a typo). One way to generate this suggestion is to measure how "close" the typed word A is to a particular word B from the dictionary, and suggest the closest of all dictionary words. There are many ways to measure closeness; in this problem we will consider a measure known as the edit distance, denoted EDIT-DIST(A, B).In more detail, given strings A and B, consider transforming A into B via character insertions (i), deletions (d), and substitutions (s). For example, if A = ALGORITHM and B = ALTRUISTIC, then one way of transforming A into B is via the following operations:EDIT-DIST(A, B) is the minimal cost of transforming string A to string B, parameterized by the following three numbers:ci, the cost to insert a character, cd, the cost to delete a character,cs, the cost to substitute a character.Write base case(s) and a recurrence relation for computing EDIT-DIST(A, B). Hint: this should resemble the LCS recurrence relation from lecture.
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Using dynamic programming, a recurrence relation can be used to compute the minimum edit distance between two strings.
The following are the base case(s) for computing EDIT-DIST(A, B):
If either string A or string B is empty, the cost of transforming string A to string B is the other string's length. For example, if A = "" and B = "ALGORITHM," then EDIT-DIST(A, B) = 8, because A to B requires 8 insertions.
The following is the recurrence relation for computing EDIT-DIST(A, B):
Let L(i, j) denote the shortest edit distance between string A's first I characters and string B's first j characters. Then,
L(i, j) = min { L(i - 1, j) + cd, L(i, j - 1) + ci, L(i - 1, j - 1) + cs(if Ai != Bj) }
where:
L(i - 1, j) + cd is the cost of deleting the last character of A,
L(i, j - 1) + ci is the cost of inserting a character in A to match the last character of B,
L(i - 1, j - 1) + cs is the cost of substituting the last character of A with the last character of B.
The above recurrence relation can be used to compute the minimum edit distance between two strings using dynamic programming.
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I need help On this question
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The rule is a linear equation:
y = 2x + 1
What expression represents the given rule?We want to write an expression that represents the following rule, it is:
"double the input, then add 1"
The input is represented by the variable x, so if we double it and then we add 1, the rule will be:
y = 2x + 1
So we have a linear equation.
And, using the notation on the image, we can write this as:
x → 2x + 1 → y
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Use a calculator to find the values of the inverse function in radians.
tan -¹(3.23)
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The values of the inverse function in radians is 1.27
How to determine the value of the inverseFrom the question, we have the following parameters that can be used in our computation:
tan -¹(3.23)
Using the above as a guide, we have the following:
arctan(3.23)
Using a calculator, we have
arctan(3.23) = 1.27 radians
Hence, the values of the inverse function in radians is 1.27
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Half of seven added to product of x and 4 is less than 1
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Answer:
The equation to represent the given statement is:
(7/2) + (4 * x) < 1
We can simplify the equation as follows:
(7/2) = 3.5
And then:
3.5 + (4 * x) < 1
Finally:
3.5 - 1 < - (4 * x)
2.5 < - (4 * x)
Dividing both sides by -4:
-2.5/4 > x
-0.625 > x
∡Step-by-step explanation:
This means that for the equation to be true, the value of x must be less than -0.625.
Identify the following clauses as dependent or independent.
1. I missed the game.
2. After the movie.
3. Because they left the dogs out.
4. They left the dogs out.
5. Employees leave frequently at the casino.
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2. After the movie.
3. Because they left the dogs out.
Independent clauses:1. I missed the game.
4. They left the dogs out.
5. Employees leave frequently at the casino.
About Independent ClauseAn independent clause is a combination or combination of words in which there is a subject, a verb, and has a complete and understandable meaning or meaning. In other words, an independent clause is a clause that can stand alone.
There are special features in an independent clause that we must know. The characteristics of an independent clause are as follows:
There is a subject who does a job or activity in a sentence. There is a predicate. The predicate can be in the form of work or activities carried out, actions or actions, carried out by the subject in a sentence. The resulting meaning is whole and complete.Learn more about clause at
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What is the product of 0.04 x 8?
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Answer:
0.32
Step-by-step explanation:
determine the required value of the missing probability to make the distribution a discrete probability distribution.
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The discrete probability distribution of 4 which is given as P(4) is 0.22.
In order to make a discrete probability distribution, the sum of all probabilities must equal 1. We can calculate the missing probability P(4) by subtracting the sum of the known probabilities from the value 1. So,
P(4) = 1 - (0.28 + 0.36 + 0.14)
= 1 - 0.78
= 0.22.
A discrete probability distribution is a mathematical function that assigns a probability to each outcome of a discrete random variable. In this case, the random variable is the value of x, and the corresponding probabilities are P(x).
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Complete Question:
Determine the required value of the missing probability to make the distribution a discrete probability distribution.
x P(x)
3 0.28
4 ?
5 0.36
6 0.14
P(4) = ______ ?