Answers
The scale factor used in the dilation of the polygons is 0.5
Determining the scale factor used in the dilationFrom the question, we have the following parameters that can be used in our computation:
Big = 2
Small = 1
The scale factor is calculated as
Scale factor = Small/Big
Substitute the known values in the above equation, so, we have the following representation
Scale factor = 1/2
Evaluate
Scale factor = 0.5
Hence, the scale factor used in the dilation of the polygons is 0.5
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Related Questions
Problem 1 Denote by 9 (t) is the position at time t of an object moving on a line. The function q need not be a position, q may be any differentiable function. The derivative, g, of a need not be a velocity, j is just the derivative of q. Assume that q is differentiable, so that its derivative, 9 = d', is the velocity, u: v (t) = (t) = ' (t) (1) Position and velocity are given, or measured, at three times, to, tı, and t2, with to 01 = v(tı) > 03 = v(t2) 20 (3) 059(to) = % <91 = q (ti) < 42 = 9 (t2) Assume also that the position increases as the velocity decreases on the interval of time [to, ta]. The problem is to establish a procedure to estimate a time t, between to and 1, when the position 4. = q (1.) is exactly halfway between qo and 4: 4. = 9(t.) = 40 +91 Assume that v is affine: for some constanta, v (t) = 10 + (t-to). (6) (1.1) Calculate a in terms of to, tı, to and v1. (5) (1.2) Find a formula for q (t) for every t in terms of t. to. 11, 90. 91.00, 01. (1.3) Then solve Equation (5) fort, in terms of to, +1.90:01. Vo, and 0. (1.4) Calculate the velocity when the position is halfway, v (t.)
Answers
1.1 ) velocity v1 is given as follows : 1/2 (4o + 42)
1.2) q(t) = qo + (t - to) (ti - to + 11 - 2to)/2 - (qo - q(to))
1.3) t = to + (1/2)(-49 - (ti - to)(ti - to + 11 - 2to) + 2(q(to) - qo))
1.4) v(t*) = t* - to + 7 - ti
(1.1)The constant a in terms of to, ti, to, and v1 is given as follows
.v(t) = 10 + (t - to)g(t)
= v(t) - v1g(t)
= 10 + (t - to) - v1
We know that
4. = 4(t.)
= 4o + 9 ıand 4. is exactly halfway between qo and
q4. 4. = q(t.)
= 4o + 1/2 (4 - 4o)
= 1/2 (4o + 42)
Therefore, we can equate these two expressions for
4.4o + 9ı
= 1/2 (4o + 42)8o - 4
= 9ı
Substituting v(t) = 10 + (t - to), we get
8o - 4 = v1 + (ti - to - 1)
v1 = 8o - 4 - (ti - to - 1)
Therefore, the value of the constant a in terms of to, ti, to, and v1 is given by
a = 8o - 4 - (ti - to - 1).
(1.2)We know that g(t) = v(t) - v1.
Since v(t) is given as v(t) = 10 + (t - to), we have
g(t) = v(t) - v1
= 10 + (t - to) - (8o - 4 - (ti - to - 1))
= t - ti + 11 - 2to
The position q(t) for every t is given by
q(t) = qo + ∫g(s) ds
where
qo = 4o + 91
= q(ti)
= q(to + ti - to)
= q(to) + ∫g(s) ds
From this equation, we get
∫g(s) ds = qo - q(to)
Therefore, q(t) = qo + (t - to) (ti - to + 11 - 2to)/2 - (qo - q(to))
(1.3)From the formula for q(t), we have
4o + 91 + (t - to) (ti - to + 11 - 2to)/2 - (qo - q(to))
= 1/2 (4o + 42)
Therefore, solving for t, we get
t = to + (1/2) ((4o + 42) - (4o + 91 + (ti - to)(ti - to + 11 - 2to)/2 + qo - q(to)))
= to + (1/2)(-49 - (ti - to)(ti - to + 11 - 2to) + 2(q(to) - qo))
(1.4)We have already found that
4. = 1/2 (4o + 42).
Substituting this in the formula for g(t) and evaluating at t = t*, we get
v(t*) = 10 + (t* - to) - v1
= 10 + (t* - to) - (8o - 4 - (ti - to - 1))
= t* - to + 7 - ti
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A function is defined by fx) = 5(2-x). What is f(-1)?
Answers
Answer:
f ( x ) = 15
Step-by-step explanation:
Step 1:
f ( x ) = 5 ( 2 - x ) Function
Step 2:
f ( - 1 ) Given
Step 3:
f ( x ) = 5 ( 2 - ( - 1 ) ) Input x
Step 4:
f ( x ) = 5 ( 3 ) Combine Like Terms
Answer:
f ( x ) = 15
Hope This Helps :)
Answer:
15
Step-by-step explanation:
Since there is a -1 in place of the x, that means for every x value, x = the number in place of the x, so in this case every x would equal -1.
f(x) = 5(2-x)
f(-1) = 5(2+1)
f(-1) = 5(3)
f(-1) = 15
What are the minimum and maximum values of t for which ſt + 31 < 2?
Answers
Answer:
maximum : [tex] ϵ -29 [/tex] a number infinitesimally larger than -29, or -28 if you prefer integers
minimum : [tex] -\infin [/tex]
negative infinity
Explanation:
if t + 31 < 2
than t + 31 - 31 < 2 - 31
t < -29
[tex] -\infin < t \:< - 29[/tex]
any number less than -29
ϵ just means infinitesimal small quantity denoted as [tex] \pm \frac{1}{\infin} [/tex]
-5x + 3 > - 72
O x > -26
O x < 15
O x > 15
O x < -26
Answers
What is x equal to in the problem.
Answers
Answer:
have no idea mate actually is 69
Step-by-step explanation:
yebamabsi
Answer:
52°
Step-by-step explanation:
x is the same angle as opposite to 52°, making x 52°
find the ratio which are the points p(X,2) divides the line segment joining the point a(12,5) and b(4,-3) also find X plz give answer for this
Answers
Answer: ratio a:b = 3:5 p(X, 2) = p(9, 2)
Step-by-step explanation:
Plot points a = (12, 5) and b = (4, -3) and draw a line segment from a to b.
Notice that when y = 2, X = 9 so point p = (9, 2) see graph
The distance from a to p = 3√2
The distance from b to p = 5√2
So the ratio of a:b = 3√2:5√2 = 3:5 when simplified
To find the distance, use the distance formula OR pythagorean theorem.
Ralf and Susie share $57 in the ratio 2:1.
(a) Calculate the amount Ralf receives.
Answers
Answer:
.Total ratio 2+1 = 3Ralf 2/3 × 57Divide 57 by 3( 2 × 19)= 38....Ralf recieves $ 38Answer:
Raff = 38
Suzie = 19
Step-by-step explanation:
Raff gets 2x
Suzie gets x
2x + x = 57 dollars
3x = 57 dollars
x = 19 dollars
2x = 38 dollars
You have completed 45 assignments which is 75% of your total for the year. How many total assignments are you assigned?
Answers
Answer:
60
Step-by-step explanation:
45/3 + 45 = 60
the number of calories is correlated with the amount of vitamin c
Answers
Step-by-step explanation:
World's Healthiest Foods rich in
vitamin C
Food calories
Papaya119224%
Bell Peppers29157%
Broccoli55135%
Brussels Sprouts56129%
Strawberries46113%
Pineapple83105%
Oranges6293%
Kiwifruit4285%
Cantaloupe5478%
Cauliflower2973%
Answer: The number of calories is [Not] correlated with the amount of vitamin C
Step-by-step explanation:
Edg2021
Can someone please help me
Answers
Answer:
Looks like (-5,1.5)
Step-by-step explanation:
Because it is halfway between the 1 and the 2
Hope This Helps!
Find the area of a circle with radius, r = 14cm.
Give your answer rounded to 3 SF.
Answers
Answer:
616 cm^2
Step-by-step explanation:
using π r ^ 2
22/7 × 14^2
616 cm^2
simplify: sin theta {1/sin theta - 1/cosec theta}
Answers
Answer:
SORRY I DIDN'T KNOW
Step-by-step explanation:
PLEASE SOLVE THIS PROBLEM
Point N is on line segment MO. Given MO = 18 and MN = 3, determine the
length NO.
Answers
Answer:
Length of NO is 15
Step-by-step explanation:
because
NO = MO-MN
find a formula for the amount of kool-aid in lake beta t hours after the crash.
Answers
The formula for the amount of Kool-Aid in Lake Beta t hours after the crash can be determined using the equation below: k(t) = 120(1 - 0.1)^(t/4)
When a shipment of Kool-Aid crashes near Lake Beta, the Kool-Aid powder gets dumped into the lake. The initial amount of Kool-Aid in the lake is 120 kg. The rate of decay for the Kool-Aid is 10% every 4 hours. We can determine the formula for the amount of Kool-Aid in Lake Beta t hours after the crash.
The formula for the amount of Kool-Aid in Lake Beta t hours after the crash can be determined using the equation below:
k(t) = 120(1 - 0.1)^(t/4)
In this equation, the initial amount of Kool-Aid in the lake is 120 kg. The rate of decay is 10%, which means that 10% of the Kool-Aid disappears every 4 hours.
This rate of decay is represented by the factor (1 - 0.1)^(t/4).
To determine the amount of Kool-Aid in the lake after t hours, we simply substitute the value of t into the equation.
For example, if we want to know the amount of Kool-Aid in the lake after 8 hours, we would substitute t = 8 into the equation;
k(8) = 120(1 - 0.1)^(8/4) = 84 kg
Therefore, after 8 hours, there would be 84 kg of Kool-Aid in Lake Beta.
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When a hypothesis is supported by many different experiments what is it considered
Answers
Answer:
Theory
Step-by-step explanation:
theory-is a hypothesis that has been proven and supported by many lot of experiments.
Answer:
It is called a theory
Step-by-step explanation:
For example, if a scientist has a hypothesis and it is proven true, then other scientists will also test it to be proved a theory. After changing different variables (sometimes), and yet it is still proven true, then it becomes a theory.
Hope this helps!
Write an equation and solve.
Bobby needs to buy a new
bicycle. If he already has $50 and
he gets $15 per week for his
allowance, how many weeks will
it take him to get the $200 he
needs to purchase the bike he
wants?
Answers
solution: x= 10
it would take him 10 weeks to purchase the bike he wants.
Question 11:
Solve the following LP formulation in Excel
Maximize Z=300×1+90×2+400×3+150×4
subject to:
$35,000×1+10,000×2+25,000×3+90,000×4≤$120,000
4×1+2×2+7×3+3×4≤12 acres
×1+×2≤1 facility
×1,×2,×3,×4=0 or 1
Answers
By solving the LP formulation using Solver in Excel, you will obtain the optimal values for the decision variables x1, x2, x3, x4 that maximize the objective function Z.
To solve the given linear programming problem in Excel, you can use the Solver add-in. Here are the steps to set up and solve the LP formulation:
Step 1: Set up the Excel spreadsheet with the following columns:
Column A: Variables (x1, x2, x3, x4)
Column B: Coefficients of the objective function (300, 90, 400, 150)
Column C: Constraint coefficients for the first constraint (35000, 10000, 25000, 90000)
Column D: Constraint coefficients for the second constraint (4, 2, 7, 3)
Column E: Constraint coefficients for the third constraint (1, 1, 0, 0)
Column F: RHS values for the constraints (120000, 12, 1)
Column G: Variable type (0 or 1)
Column H: Variable names (optional)
Cell J2: Objective function (formula: =SUMPRODUCT(B2:B5, G2:G5))
Step 2: Set up the Solver add-in:
Go to the "Data" tab and click on "Solver" in the "Analysis" group.
In the Solver Parameters dialog box, set the following:
Set Objective: Cell J2
To: Max
By Changing Variable Cells: Range G2:G5
Subject to the Constraints: Range C2:F4
Click on the "Add" button to add each constraint.
Click on the "Solve" button to solve the LP problem.
Note: Before running the Solver, make sure you have the Solver add-in enabled. You can enable it by going to "File" -> "Options" -> "Add-Ins" -> "Excel Add-Ins" -> "Solver Add-in" -> "OK".
By solving the LP formulation using Solver in Excel, you will obtain the optimal values for the decision variables x1, x2, x3, x4 that maximize the objective function Z.
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WILL GIVE BRAINLIEST!!
Find the value of x in the diagrams below.
a) 71
b.) 32
c.) 109
d.) 24
Answers
Answer:
(3x - 1 )° is equals to 71 degreesthe statement will be 3x - 1 degree is equal to 71 degree put the like terms together 3 x is equals to 71 degrees + 1 degrees then it'll be 3 x is equals to 72 then divide both sides by 3 will get x is equals to 24 degrees
If mABF= (7x+ 20) ° , mFBC= (2x–5) ° , and m
ABC= 159 ° , find the value of x
Answers
The population of Stockmoon is increasing at 2% every year. The population was 550 in 1990. How many people are living in Stockmoon today? Round your answer to the nearest person.
Answers
Answer:996
Step-by-step explanation:
Which expression is not equivalent to mn + 5
Answers
Jonah earns $12.50 per hour as a marketing intern. If he works for 4.5 hours, how many dollars does he earn?
Answers
Answer:
$56.25
Step-by-step explanation:
We have to multiply 12.50 x 4.5
$56.25 TRUST ME
Parallelogram P Q R S is rotated about point Q 180 degrees to form parallelogram P prime Q prime R prime S prime. Parallelogram P prime Q prime R prime S prime is reflected across line of reflection l to form parallelogram P double-prime Q double-prime Q double-prime S double-prime.
Which rule describes the composition of transformations that maps figure PQRS to figure P"Q'R"S"?
Answers
Answer:
a
Step-by-step explanation:
i just took the quiz
Answer:
D.
Step-by-step explanation:
What is the equation of a line in slope intercept formula that has a slope of 4 and goes through the point (-2,-11)
Answers
hope this helps
answer that is CORRECT gets brainliest
Answers
Answer:
0.65 third option
Step-by-step explanation:
95×0.65= $61.75
(NEED DONE QUICK) Two angles are supplementary. One of the angles measures 4(2x+9) and the other angle measures 2(4x-8) what is the value of x?
Answers
Answer:
[tex]x=10[/tex]
Step-by-step explanation:
Supplementary angles are angles equal to 180°.
Therefore:
[tex]4(2x+9)+2(4x-8)=180[/tex]
Now that we have our equation, let's distribute the [tex]4[/tex] and the [tex]2[/tex] into the parentheses they are next to:
[tex]8x+36+8x-16=180[/tex]
Combine like terms:
[tex]16x+20=180[/tex]
Subtract [tex]20[/tex] from both sides of the equation:
[tex]16x=160[/tex]
Divide by the coefficient of [tex]x[/tex], which is [tex]16[/tex]:
[tex]x=10[/tex]
~
Check your work by substituting [tex]10[/tex] into one of the equations above:
[tex]8(10)+36+8(10)-16=180[/tex]
[tex]80+36+80-16=180[/tex]
[tex]180=180[/tex]
It's correct!
What does the "b" in y=mx+b form stand for?
A.change in x over change in y
B. y-intercept
C.slope
D.No answer text provided,
Answers
Rewrite the following as a decimal
-5 1/11
Answers
Answer:
-5.09
Step-by-step explanation:
Convert 5 1/11 to an improper fraction.
Exact Form:
-56/11
Decimal Form:
-5.09
Mixed Number Form:
-5 1/11
if f(x) = 3x - 1 and g(x) = x + 2, find (f - g)(x)
Answers
Answer:
Step-by-step explanation:
3x - 1 - (x + 2)
3x - 1 - x - 2
2x -3
A trio and a quartet got together and played a song. How many musicians were there?
Answers
Answer:
a trio is 3 people and a quatret is 4 people which in total it's 7 people.
Step-by-step explanation:
