The dilation and scale factor would be considered as imilarity transformation.
In general, similarity transformations preserve angles. Side lengths are enlarged or reduced according to the scale factor of the dilation. This means that similar figures will have corresponding angles that are the same measure and corresponding sides that are proportional.
Similarity transformations include dilation and any number of rigid transformations. In a similarity transformation, the ratio of the lengths of corresponding sides in the image and the pre image is equal to the scale factor of dilation. Two or more similar figures will have corresponding sides that are proportional in length.
Hence the answer is the dilation and scale factor would be considered imilarity transformation.
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Simplify the expression. 7(6x – 4) 1 1. distribute the 7 through the parentheses. 2. combine like terms. what is the expression in its simplest form? 42x – 28 7 42x – 3 42x – 28 1 42x – 27
you have the choice of choosing a number between 0 and 100. the winner is the group that guesses 2/3s of the average guesses of all groups. for example, if all other groups choose 100 and your group chooses 63, 2/3 of the average guesses would be 62.4 and your team would win.
Using the Dominant strategy and Nash equilibrium, helps you to choose a number between large sample (0-100) such that the choosing number is 2/3 of average guess of all and become a winner.
Dominant Strategy:
A dominant strategy refers to a player's preference for a particular choice of action, independent of the actions and decisions of other players in a strategy game. A dominant strategy is based on the playoffs the player wins.
The concept of Nash Equilibrium is not too difficult to understand. Imagine any combination of player choices. For example, everyone picks 34 in the hope that it matches her 2/3rds of other people's guesses. Nash proved that every game has at least one such equilibrium if randomized strategies are allowed.
Zeroth order - If everyone was a zero-order thinker, just guess randomly between 0 and 100 and pick a random number. Average = ( 0 + 100 ) / 2 = 50.
1st order thinkers guess 2/3 of 0th order thinkers = (2 / 3) × 50 = 33.
2nd order thinkers guess/3 primary thinkers
= (2 / 3) × 33 = 22.
3rd order - 3rd order thinkers guess 2/3 of 1st order thinkers = (2 / 3) × 22 = 15.
Distribution of k order thinkers and sophisticated thinkers. If the population he is a 0th, 1st, 2nd, 3rd thinker, we can estimate
(2/3) ×(50 + 33 + 22 + 15) / 4 = 20.
Thus, different strategies for different opposing thinkers are discussed here.
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What is 2 multipled by 6 ?
Answer:
12
Step-by-step explanation:
2 * 6
6 + 6 = 12
Answer:
12
Step-by-step explanation:
A force of 8 pounds stretches a spring 1 foot. A mass weighing 3.2 pounds is attached to the spring, and the system is then immersed in a medium that offers a damping force numerically equal to 0.8 times the instantaneous velocity.
(a) Find the equation of motion if the mass is initially released from rest from a point 1 foot above the equilibrium position.
The equation of motion if the mass is initially released from rest from a point 1 foot above the equilibrium position is [tex]\frac{\frac{-sin(8t)}{2} - cos(8t) }{e^{4t} }[/tex] at x = 0, y = -1.
Here, we have been told that the force has a magnitude of = 8 pounds (i)
It stretches a spring to a length of = 1 foot (ii)
The damping force is 0.8 times the instantaneous velocity. (iii)
We use the differential equation of motion of damping force which is =
= mx₂ +λx₁+kx
Using the formula and the values of (i), (ii), and (iii), we get -
= [tex]\frac{\frac{-sin(8t)}{2} - cos(8t) }{e^{4t} }[/tex]
This is the required equation of motion.
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4 ^ p * 4 ^ 5 = 4 ^ 15
Answer:
p = 10
Step-by-step explanation:
4 ^ 10 x 4 ^ 5 = 4 ^ 10+5 = 4 ^ 15
p = 10
the length of a rectangle is increasing at a rate of 3 cm/s and its width is increasing at a rate of 5 cm/s. when the length is 15 cm and the width is 13 cm, how fast is the area of the rectangle increasing (in cm2/s)?
If the length of a rectangle is increasing at a rate of 3 cm/s and its width is increasing at a rate of 5 cm/s. The area of the rectangle increasing is: 114 cm2/sec.
How to find the area of the rectangular?Using product rule formula
(dA / dt) = L× (dW / dt) + W × (dL / dt)
Where:
dA/dt = Rate that the area of the rectangle is increasing
dL/dt = 3 cm/s
L = 15 cm
dW/dt = 5 cm/s
W = 13 cm
Let plug in the formula
(dA / dt) = (15) × (5) + (13) × (3)
(dA / dt) = 75 + 39
(dA / dt) = 114 cm2/sec
Therefore 114 cm2/sec is the area of the rectangular.
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Solve x^2-3x=-8. Please explain
Answer:
No solution.
Step-by-step explanation:
1. Move terms to the left side
x² - 3x = -8
x² - 3x - (-8) = 0
2. Use the quadratic formula
x = [tex]\frac{-b + \sqrt{b^2 - 4ac} }{2a}[/tex]
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
x² - 3x + 8 = 0
a = 1
b = -3
c = 8
x = [tex]\frac{-(-3) + \sqrt{(-3)^2 - 4 * 1 * 8} }{2*1}[/tex]
3. Simplify
After simplifying:
x = [tex]\frac{3 + \sqrt{-23} }{2}[/tex]
4. No real solutions because the discriminant is negative.
The square root of a negative number is not a real number.
d = -23.
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Merrill is completing homework problems where they need to determine whether graphs show proportional relationships. Merrill’s dog bit the corner off of the page so they cannot see whether this graph goes through the origin. Explain how to determine whether the graph shows a proportional relationship. Please have an actual answer or do not answer this cause it is due 8am Monday
In order to determine whether this graph shows a proportional relationship, you should determine if the ratios of the two variables plotted on the graph have a constant of proportionality.
What is a proportional relationship?In Mathematics, the graph of a proportional relationship between two variables is always characterized by a straight line with its data points passing through the origin (0, 0).
Mathematically, a proportional relationship can be modeled by the following linear equation:
y = kx
Where:
y and x are the variables.k represents the constant of proportionality.In conclusion, the ratio of the two variables plotted on the graph of a proportional relationship is always constant.
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Write the equation of the line in fully simplified slope-intercept form. pls help
Answer:y=-5x-5
Step-by-step explanation:
(0,-5) and (1,-10)
-10-(-5)= -5
1-0=1
-5/1 = -5
What are rational roots examples?.
An example of rational roots can be given as:
Let the polynomial be: 4x³ + 3x² + 6x + 9;
Then,
coefficient of the variable with the highest degree = 4
coefficient having the variable with degree 0 = 9
Factors of 4 are: 1, 2;
Factors of 9 are: 1, 3;
The possible rational roots for such an equation will be: 3, 1, 1/2, 3/2, -3, -1, -1/2, -3/2;
Rational roots are the roots or solutions of equations of any polynomial consisting of one variable of any power.
Where all the coefficients are integers.
Let the solution/root of a polynomial be p/q. Then the root would be rational if and only if the coefficient of the variable with the highest degree is divisible by 'q' , and the coefficient independent of the variable or having the variable with degree 0 is divisible by 'p'
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what is the exact difference from (-4, 2) to (4, 6)
A) sqrt 24 units
B) sqrt 86 units
C) sqrt 100 units
D) sqrt 128 units
The exact difference from (-4, 2) to (4, 6) is √80 units
How to determine the exact difference?From the question, we have the following points that can be used in our computation:
(-4, 2) to (4, 6)
These points can be rewritten as
(x, y) = (-4, 2) to (4, 6)
The exact difference can be calculated using the distance formula
distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Where
(x, y) = (-4, 2) to (4, 6)
Substitute the known values in the above equation, so, we have the following representation
distance = √[(-4 - 4)² + (2 - 6)²]
Evaluate
distance = √80
Hence, the distance is √80 units
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in the fixed effects regression model, you should always exclude one of the binary variables for the entities independent of whether an intercept is present in the equation or not.
To avoid any perfect multicollinearity we need to exclude any one of the binary class variables for all the entities which are independent of whether an given intercept is present across the given equation or not.
Fixed outcomes is a statistical regression version wherein the intercept of the regression version is authorized to differ freely throughout people or groups. It is frequently implemented to panel information with the intention to manage for any individual-unique attributes that don't range throughout time. Use fixed-outcomes (FE) each time you're most effective inquisitive about reading the effect of variables that fluctuate over time.
FE discover the connection among predictor and final results variables inside an entity (country, person, company, etc.). In many packages which includes econometrics and biostatistics a set outcomes version refers to a regression version wherein the organization method are fixed (non-random) instead of a random outcomes version wherein the organization method are a random pattern from a population.
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A construction company is setting up signs on 5 miles of road. If the company places one sign every 1/3 mile, how many signs will it use?
Answer:
75
Step-by-step explanation:
1) Divide 5 by 1/3.
Use the rule ---> [tex]a\div\frac{b}{c} =a\times\frac{c}{b} .[/tex]
5 * 3
15
Due to this being a proportional equation, you multiply 15 by 5.
5:(1/3)=75
Write a two column proof for the following statement.
“Given that 2( -x + 4) = 3 , prove that x = 5/2.
The two column proof for the statemen is as follows
Statement Reason
2(-x + 4) = 3 given
-2x + 8 = 3 Distributive property of multiplication
-2x = 3 - 8 Collection of similar terms
-2x = -5 Subtraction property of equality
-2x/-2 = -5/-2 Division property of equality
x = 5/2 Definition of equality
What is algebra?The area of mathematics known as algebra is used to portray situations or problems using mathematical expressions.
In algebra, we utilize integers with fixed or definite values, such as 2, 13, 0.5, etc. combined with variables like x, y, and z
An instance of algebra is 2( -x + 4) = 3
What is distributive property of multiplication?The distributive property of multiplication is applied when there is multiplication over addition of terms like exemplified here
2(-x + 4)
= -2x + 4
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What is the most positive number?.
Integers greater than 0 are positive number.
What is rational number?
A rational number could be a number that may be expressed as the quotient or fraction p/q of 2 integers, a dividend p and a non-zero divisor letter.
Main body:
The definition of positive integers in math states that "Integers that are larger than zero are positive integers". Integers may be classified into 3 types: negative integers, zero, and positive integers. examine the quantity line given below to know the position and worth of positive integers.
1 is that the smallest positive whole number and therefore the greatest positive whole number isn't referred to as the list is endless.
Therefore the definition of positive integer is such as.
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Prove algebraically that the difference between the squares of any two consecutive integers is equal to the sum of these two integers.
The difference between any two successive integer squares is equal to the total of all these two integers, as demonstrated by the completed proof.
What exactly is meant by consecutive integers?Sequentially succeeding numbers are referred to as consecutive numbers.There is always a 1 difference when there are two numbers.A series of numbers has an equal mean and median.It concludes that n, n+1, and n+2 are all numbers if n is just a number.Let x represent any integer to prove algebraically.
This means that x+1 should be the following integer.
The claim demands evidence;
(x+1)² - x² = x+(x+1)
Consider the left hand side;
= x² + x + x + 1² - x²
= 2x+1 (Left Hand Solution)
Similarly, the right side.
= x + (x + 1)
= 2x + 1
Thus, subtracting the difference between two consecutive squared integers equals adding the two integers that since LHS=RHS equality is clear.
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here is a hanger that is in balance. squares are worth 2 grams and circles are worth 3 grams, and triangles are x grams. write an equation to represent the hanger diagram.
The equation to represent the hanger diagram is 5x - 2x = 21 - 12 and weight of 1 triangle in the hanger is 3 gram. .
In the question ,
it is given that ,
the the weight of one square is = 2 gram
the weight of one circle is = 3 gram
and the weight of one triangle is is = x gram
When the hanger is balanced , then weight on Left side = weight on Right side
we see that left side have 2 triangles , 6 squares and 3 circles ,
and the Right side have 2 circle , 3 square and 5 triangle ,
So , the balanced equation for the hanger can be written as
2*x + 6*2 + 3*3 = 2*3 + 3*2 + 5*x
2x + 12 + 9 = 6 + 6 + 5x
2x + 21 = 12 + 5x
5x - 2x = 21 - 12
3x = 9
x = 3
Therefore , the equation is 5x - 2x = 21 - 12 and the weight of triangle is 3 grams .
The given question is incomplete , the complete question is
There is a hanger that is in balance. squares are worth 2 grams and circles are worth 3 grams, and triangles are x grams. write an equation to represent the hanger diagram and find the weight of 1 triangle .
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Find the value of x. then find the angle measures of the polygon.
The value of x is 125.
what angle sum property of hexagon?
The formula for the angle sum property is, S = ( n − 2) × 180°, where 'n' represents the number of sides in the polygon.
The sum of all interior angles is equal to 720 degrees, where each interior angle measures 120 degrees. The sum of all exterior angles is equal to 360 degrees, where each exterior angle measures 60 degrees.
Using angle sum property
120+120+120+100+x+x+10=720
2x+470= 720
2x= 720-470
2x= 250
x=125
hence, the value of x is 125.
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Find an explicit formula for a sequence of the form
a1, a2, a3,
with the initial terms given below.
5, 10, 20, 40, 80, 160, 320
an =
The explicit formula for a sequence given in the form of a₁ , a₂ , a₃ representing initial terms 5,10,20, 40 , 80 , 160 , 320 then aₙ = 5 × 2ⁿ⁻¹.
As given in the question,
Given initial terms of the sequence are as follow:
5, 10, 20, 40, 80, 160, 320
a₁ , a₂ , a₃ representing initial terms
a₂ / a₁ = 10 /5
= 2
a₃ / a₂ = 20 /10
= 2
a₄ /a₃ = 40 / 20
= 2
Common ratio 'r ' = 2
First term a₁ = 5
Given sequence is representing the geometric sequence
Explicit formula for nth of the geometric sequence is given by :
aₙ = a₁ × rⁿ⁻¹
= 5 × 2ⁿ⁻¹
Therefore, the explicit formula for a sequence given in the form of a₁ , a₂ , a₃ representing initial terms 5,10,20, 40 , 80 , 160 , 320 then
aₙ = 5 × 2ⁿ⁻¹.
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What is the product of 10 numbers?.
Product of first 10 natural numbers is 3628800.
What is natural numbers?
In arithmetic, the natural numbers are those numbers used for enumeration and ordering. Numbers used for enumeration are referred to as cardinal numbers, and numbers used for ordering are referred to as ordinal numbers
Main body:
The first ten natural numbers are 1,2,3,4,5,6,7,8,9,10.
The product is the multiple all numbers.
Product of first 10 natural numbers is given by,
P = 1*2*3*4*5*6*7*8*9*10
P =3628800.
Therefore, Product of first 10 natural numbers is 3628800.
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How many 2-digit special numbers are there?.
Four special two digit numbers exist: 1, 2, 145, and 40585.
A special two-digit number is one in which the original two-digit number is equal to the sum of the number's digits plus the product of its digits. Take the number's initial and last digits out, then add and multiply each digit independently. After that, multiply the two-digit number by the sum and product of its digits and then compare the result to the original value. If they match, it qualifies as a special two-digit number; otherwise, it does not.
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choose the inequality shown by this diagram
The inequality shown in the diagram is the one in option C.
-2 < x ≤ 7
Which is the inequality on the diagram?On the number line we can see that our variable is x, the graph of the solution set of the inequality starts with an open circle at x = -2.
The open circle means that x = -2 is not a solution of the inequality, then we start with:
-2 < x
Then we can see a closed circle at x = 7, a closed cirlce means that the value is a solution, so x can be equal to 7, and the inequality is:
-2 < x ≤ 7
So the correct option is C.
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the area of the parallelogram is 78 in^2. calculate its perimeter
6in 6.5in
Perimeter= blank in
Answer: 39 in
Step-by-step explanation:
I don’t understand this
Answer:
find the tan inverse
[tex] { \tan(?) }^{ - 1} [/tex]
of the value to get the angle.
1d.p = 29.2°
How do you list all rational roots using rational root theorem?.
The rational root theorem says that if you take all the factors of the constant term in a polynomial and divide by all the factors of the leading coefficient
The rational root theorem is also known as the rational zero theorem (or) the rational zero test (or) rational test theorem and is used to determine the rational roots of a polynomial function.
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a pile of bricks weight 22kg.18759grams of bricks are removed.what weight is left?
The weight that is left when 18759 grams of bricks are removed is 3.241 kg
How to determine the remaining weight?From the question, we have the following parameters that can be used in our computation:
Pile of bricks = 22 kg
The weight removed from the pile = 18759 grams
The remaining weight can be calculated using the following subtraction equation
Remaining weight = Pile of bricks - The weight removed from the pile
Substitute the known values in the above equation, so, we have the following representation
Remaining weight = 22 kg - 18759 grams
Convert grams to kg
This gives
Remaining weight = 22 kg - 18.759 kg
Evaluate the difference in the above equation
Remaining weight = 3.241 kg
Hence, the remaining weight is 3.241 kg
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please help!!!!!! UrGenT
at one school, the average amount of time that tenth-graders spend watching television each week is 20.8 hours. the principal introduces a campaign to encourage the students to watch less television. one year later, the principal wants to perform a hypothesis test to determine whether the average amount of time spent watching television per week has decreased from the previous mean of 20.8 hour
the average amount of time spent watching television per week has decreased from the previous mean of 20.8 hour then the test is left tailed
In two tailed hypothesis, the alternative hypothesis is when mean can either be lesser or greater than the given value. Usually uses the symbol ≠.
In right tailed, the alternative hypothesis is when the mean is greater than the given value.
In left tailed, the alternative hypothesis is when the mean is lesser than the given value.
In this question, the hypothesis test to be performed is to determine if the average amount of time spent watching television per week has decreased from the given value of 20.8 hours.
Thus, it is left tailed test.
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What is the mean number of 5 11 2 12 4 2?.
Answer: 6
Step-by-step explanation:
(P.S.: Everything in italics are numbers.)
Add all of the numbers. (5+11+2+12+4+2=36)Divide 36 by the amount of numbers in the problem. There are 6 numbers in the problem. (36 divided by 6=6)So the answer will be 6! You're welcome!
FILL IN THE BLANK. in bayes theorem, you have some starting information, then you collect some new information so that you can___the original probabilities so you now have better information.
In bayes theorem, you have some starting information, then you collect some new information so that you can UPDATE the original probabilities so you now have better information.
What is Baye's theorm ?The Bayes' theorem, commonly referred to as the Bayes' rule, is a mathematical formula used in statistics and probability theory to calculate the conditional probability of events. The Bayes theorem essentially describes the likelihood of an event based on prior knowledge of any circumstances that might be relevant to the event.
P(A|B) = [tex]\frac{ P(A) P(B|A)}{P(B)}[/tex]
How often A happens given that B already happens, written as P(A|B),How often B happens given that A already happens, written as P(B|A)How likely A is on its own, written as P(A)How likely B is on its own, written as P(B)So it is always the case of conditional probability.
Hence, the original probability is always updated in case of Baye's theorm.
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