Answer:
false
Step-by-step explanation:
the sides of the new shape are not parallel to the sides of the original shape.
and there is no center of the dilation.
for example, the lines with AA' and CC' cross somewhere else than BB' and DD'.
I NEED HELP BADLY PLEASE HELP
Answer: 0.11
Step-by-step explanation:
5/45=0.11
In triangle ABC, determine the possible values for x.
Using the triangle inequality theorem, the possible values for x is: x < 11.
What is the Triangle Inequality Theorem?The triangle inequality theorem states that two sides of a triangle, when added together must be greater than the length of the third side of the triangle.
Applying the triangle inequality theorem, we have the following inequality statement:
15 + 3 > 2x - 4
18 > 2x - 4
Add both sides by 4
18 + 4 > 2x - 4 + 4
22 > 2x
Divide both sides by 2
22/2 > 2x/2
11 > x
or x < 11.
The possible values for x is x < 11.
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The perimeter of a train ticket is 60 centimeters. It is 17 centimeters long. How tall is it?
If the perimeter of the train ticket is 60 centimeters and it's length is 17 centimeter long it's height is 13 centimeter
What is perimeter of a rectangle?A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length.
To find the perimeter of a rectangle we add all this sides together. This means that the perimeter of a rectangle is given as ;
P = l+l+w+w
P= 2(l+w)
60 = 2( 17+w)
60 = 2( 17+w)
17+w= 60/2
17+ w = 30
w = 30-17
w = 13cm
Therefore the height of the train ticket is 13cm
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How do I change my UCS icon from 3D to 2D in Autocad?
In AutoCAD, you can change the UCS icon from 3D to 2D by following these steps:
Type "UCSICON" in the command line and press Enter.In the UCS Icon dialog box, select "2D Wireframe" from the drop-down menu.Click OK to close the dialog box and apply the change.What is Autocad?AutoCAD is a commercial computer-aided design and drafting software application.
Alternatively, you can also change the UCS icon to 2D by typing "UCSICON" in the command line, then pressing the F6 key. This will toggle the UCS icon between 2D and 3D.
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N>4000 people want to drive into Central London. They can do it Before 7 am or After 7 am. The utility of entering Before 7am is u (Before) =10 for every person. The baseline utility of entering After 7 am is 50 (higher than 10 because you can sleep more), but you are also affected by the congestion: u( After )=50−0.01∗N
A
, where N
A
is the number of people that is entering After 7 am. (a) The sum of everyone's utilities is highest when 2,000 people go After and the rest go Before (no need to show this is the case). Is this a Nash equilibrium? Why? (b) What is the Nash equilibrium number of After 7am drivers? (c) Show that a congestion charge of 20 for drivers going After can solve the discrepancy between a) and b) (Wikipedia on the London congestion charge)
(a) The sum of everyone's utilities is highest when 2,000 people go After and the rest go Before is not a Nash Equilibrium beacuse it doesn’t meet the criteria for Nash Equilibrium.
(b) The Nash equilibrium number of After 7am drivers is 4000.
(c) A congestion charge of 20 for drivers going after can solve the discrepancy between a and b, as the Nash equilibrium is now met with the 2000 drivers entering after 7 am, and 4000 entering before 7 am.
a) No, it is not a Nash Equilibrium.
Nash Equilibrium is a set of strategies that make sure that no player can improve their own utility by unilaterally changing their strategy.
Therefore, let’s say that all players choose to follow the strategy of entering After 7 am, given that N>4000 people want to drive into Central London. In this scenario, everyone’s utility would be as follows:
u(After) = 50 – 0.01N
However, if a single person changes his strategy and chooses to enter Before 7 am instead, his utility would be 10 instead of the previous 0 (as he is still affected by the congestion even if he enters after).
Thus, the new utility for the person who switched would be greater than what they would have gotten before.
Therefore, this scenario doesn’t meet the criteria for Nash Equilibrium.
b) The Nash equilibrium number of drivers entering after 7 am can be found by the following formula:
50-0.01N=10
40=0.01N
N=4000
which means 4000 people should choose to go Before 7 am, and the rest should go After 7 am.
c) A congestion charge of 20 for drivers going after can solve the discrepancy between a and b.
Let’s say the congestion charge is C. In this case, the utility of entering After 7 am would be
u(After)
=30-0.01(N-A)+20
= 50-0.01N+20-0.01A-20 50-0.01N-0.01A-20 30-0.01N-0.01A
Thus, the Nash Equilibrium number of drivers entering after 7 am would be as follows:
30-0.01N-0.01A=10
20=0.01A
A=2000
N = 4000+2000
N = 6000
Therefore, a congestion charge of 20 for drivers going after can solve the discrepancy between a and b, as the Nash equilibrium is now met with the 2000 drivers entering after 7 am, and 4000 entering before 7 am.
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Omar and Jamil share $540 in the ratio 7: 2.
Increase 40 in the ratio 5: 8.
Answer:
Omar's share is $420in $540
Step-by-step explanation:
Given :
Amount of money that Omar and Jamil shares = $540
Let share of Omar and Jamil in the money is 7x and 2x
Sum of share = 7x + 2x =9x
Omar's share = (7x /9x ) ×$540
= ( 7 × 540 )/9
= 7 × 60 = $420
Step-by-step explanation:
If X is any set, the power set of X is a set of sets, defined in set builder notation as {Y: YC X. We write the power set of X as P(X). 1-9 (a) What is P(0)? (b) If X = {a,b,c} (and the three elements are all different), what is P(X)? (c) If X is any set of three distinct elements, how many elements are in P(X)? Why does the answer to this not depend on the specific elements?
The size of the power set is given by \(2^n\), where n is the number of elements in the original set. This result is independent of the specific elements in the set, as it only depends on the size of the set.
The power set of a set is defined as the set of all subsets of that set. So, for a set with no elements (i.e., the empty set), the power set contains only one element, which is the empty set itself. Thus, P(0) = {{}}.
For X = {a, b, c}, the power set P(X) contains all possible subsets of X, including the empty set and the set X itself. There are \(2^{3}\) = 8 possible subsets of X, which are: {}, {a}, {b}, {c}, {a,b}, {a,c}, {b,c}, and {a,b,c}.
If X is any set of three distinct elements, then the number of elements in P(X) is \(2^{3}\) = 8, as shown in the previous example. This is because the number of subsets of a set of n elements is given by \(2^n\), which is a fundamental property of set theory. The specific elements in X do not affect this result, as the number of subsets only depends on the size of the original set. In other words, any set of three distinct elements will have the same number of subsets, regardless of what those elements are.
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●
●
#1 Puzzle: Put all the angle numbers in the correct colored space so the parallel lines
relationships below are true all at the same time.
Angle 1 and Angle 7 need to be vertical angles
Angle 4 and Angle 6 are Alternate Interior angles
Angle 7 and Angle 3 are Alternate Exterior angles
Angle 4 and Angle 8 are Corresponding angles
Angle 5 and Angle 6 are Same-Side Interior angles
Angle 4 and Angle 5 are a Linear Pair
The conditions that are given are all satisfied by putting all the angle numbers in the correct colored space so the parallel lines
What is meant by an angle?An angle is a figure in Euclidean geometry made up of two rays that share a terminus and are referred to as the sides and the vertex of the angle, respectively. Angles made up of two rays are located in the plane that the rays are contained in. Two planes intersecting at an angle also produces an angle.
Angle is also a designation for the length of a rotation or an angle. The length of a circular arc divided by its radius yields this measurement.
We denote the upper coloured line by 1 and the lower coloured by 2
1) Red1=∠1
Green 2=∠7vertical angles
2) Yellow1=∠4, Blue2=∠6 alternate interior angles
3) Green2=∠7, Green1=∠3 alternate exterior angles
Here the colour of each is represented by its first letter.
And each position is represented by 1 0r 2, upper or lower.
Yellow1=∠4
Yellow2=∠8 corresponding angles
Red2=∠5
Blue2=∠6 same side interior angles
Yellow1=∠4
Red2=∠5 are linear pair.
Therefore, the conditions that are given are all satisfied.
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А
Amelia has 10 feet of ribbon. She uses 2 2/3 feet of ribbon
.
on a craft.
How much ribbon does Amelia have left?
Amelia has
feet of ribbon left.
A: Complementary
B: Supplementary
C: Vertical
_________are the two nonadjacent angles formed by two intersecting lines. These angles are congruent. What is the answer?
Answer:
Vertical
Step-by-step explanation:
Vertical angles are two nonadjacent angles formed by two intersecting lines.
Answer: Vertical
Step-by-step explanation:
125
21
Find the value of the missing angle
Answer:
146°.................plz mark me brainliest
PLEASE HELP, I AM MARKING BRAINLEST, dont forget to show work please :)
Value of g(-2) = -8
hope it helps you.....
Answer:
-12
Step-by-step explanation:
-4(-2)^2 -3(-2) -2
-4(4) +6 -2
-16 +6 -2
-12
Eight less than a third of a number is the sum of that number and one.
Answer:
\(x = -13\frac{1}{2}\)
Step-by-step explanation:
Eight less than a third of a number is the sum of that number and one.
Let the number be x.
That is:
\(\frac{1}{3}x - 8 = x + 1\\ \\=> x - \frac{1}{3}x = -8 - 1 \\\\\frac{2}{3}x = -9\\\\x = -9 * \frac{3}{2}\\ \\x = \frac{-27}{2}\)
\(x = -13\frac{1}{2}\)
What is the value of the expression 462 + 11 when b = 5?
Answer:
Step-by-step explanation:
94.6
4. Solve each inequality and graph the solution set
on a number line.
1/3(5x + 3) < -14
Step-by-step explanation:
<_________-9_________>
this way
<less than
>greater than
your welcome gimme points
Несколько футбольных болельщиков соседнего дома выписывают журнал “Наш футбол”, часть жителей этого дома выписывают известный автомобильный журнал “Top Gear”, а часть тот, и тот журнал. Сколько жителей соседнего дома выписывают оба журнала, если на “Наш Футбол” подписано 64 процента, а на “Top Gear” – 84 процента?
Answer:
48 residents
Step-by-step explanation:
Let's assume that there are 100 residents in the neighboring house. 64% of the residents subscribe to "Our Football" magazine, so there are 64 residents who subscribe to it. 84% of the residents subscribe to "Top Gear" magazine, so there are 84 residents who subscribe to it. The number of residents who subscribe to both magazines can be calculated by finding the intersection of the two sets, which is equal to the number of residents who belong to both sets. This can be found using the formula:
Number of residents subscribing to both magazines = 100 - (100 - 64) - (100 - 84)
= 100 - 36 - 16
= 48
Therefore, 48 residents of the neighboring house subscribe to both magazines.
can someone please help me
Answer:
135=9r
Step-by-step explanation:
"product" means multiplication.
If A = {4, 7, 10, 13, 17) and B = {3, 5, 7, 9), then which of the following statements Is true?
BCA
AUB=(7)
BCB
I have having a little bit of trubbke trying to figure this out!
Answer:
314.16ft²
A=πr2
d=2r
find a parametrization of the surface 3x^2 + 8 xy and use it to find the tangent plane at x = 1, y = 0, z = 3, compare your answer with that using graphs.
To find a parametrization of the surface 3x^2 + 8xy, we can use two parameters u and v, such that x = u and y = v.
Substituting these values into the equation gives us z = 3u^2 + 8uv. Therefore, a parametrization of the surface is (u, v, 3u^2 + 8uv).
To find the tangent plane at x = 1, y = 0, z = 3, we need to first find the partial derivatives of the parametric equation with respect to u and v. These are:
∂/∂u (u, v, 3u^2 + 8uv) = (1, 0, 6u + 8v)
∂/∂v (u, v, 3u^2 + 8uv) = (0, 1, 8u)
Evaluating these partial derivatives at the point (1, 0, 3), we get:
∂/∂u (1, 0, 3) = (1, 0, 6)
∂/∂v (1, 0, 3) = (0, 1, 8)
Using the cross product of these two vectors, we can find the normal vector to the tangent plane:
(1, 0, 6) x (0, 1, 8) = (-6, -8, 1)
Therefore, the equation of the tangent plane is:
-6(x-1) - 8y + (z-3) = 0
To compare this with the graph, we can plot the surface using a software such as WolframAlpha, and then plot the tangent plane at the given point.
The tangent plane should appear as a flat surface tangent to the original surface at that point.
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Geometry please help.
Answer:
CD = 16
Step-by-step explanation:
We can see that both AC and AB are radii. This means that they are equal, so AC = AB = 17. From segment addition postulate we can say AB = AE + BE
We are given BE, and we found the length of AB, so we can substitute and solve for AE:
AB = AE + BE
17 = AE + 2
AE = 15
Since we are given that AB is perpendicular to CD, ∠AEC would be a right angle, making ΔAEC a right triangle.
Now, we can use the pythagorean theorem to find the length of CE.
a^2 + b^2 = c^2
We are given the hypotenuse, c or AC in this case, and one leg, b, or AE in this case. We can plug in the values we are given:
CE^2 + AE^2 = AC^2
CE^2 + 15^2 = 17^2
CE^2 + 225 = 289
CE^2 = 64
CE = 8
Now, if a chord is perpendicular to a radius(AB in this case) we can say that it is split in half by the radius. This is basically saying that CE = DE = 8.
Again, using segment addition postulate, we can say:
CE + DE = CD
CD = 8 + 8
CD = 16
A student fit the line shown below to the data in the scatter plot. Which statement about the student's line is true?
A. It is a good fit because there are the same number of points above the line as below it.
B. It is a good fit because all of the points are on or below the line.
C. It is not a good fit because there are no points on the line.
D. It is not a good fit because only one point is on the line.
Answer:
C. It is not a good fit because there are no points on the line.
Step-by-step explanation:
In order for a line to be a good fit for a data set represented as a scatterplot, the line must follow the general trend of the data in the scatterplot. This line does not follow the general trend of the data on the scatterplot, thus option (C) is the best statement to describe the situation.
C. It is not a good fit because there are no points on the line.
what is (fxg)(x)
f(x)=x^3-4x+2
g(x)=x^2+2
Answer: x^6+6x^4+8x^2+2
Step-by-step explanation:
Since g comes after f then you will take g's equation and plug it into the f equation so it would turn out to be if you plugged it in
(x^2+2)^3-4(x^2+2)+2 which would equal x^6+6x^4+8x^2+2
a gym membership is offered in January for $29.00 per month. If you pay upfront for the year you are given a 20% discount on the monthly cost. How much money do you save after a year by paying upfront rather than monthly?
Answer:
278.4 dollars
Step-by-step explanation:
So you know that each month is 29.00 dollars
You mutilpy that by 12 to find out the total cost for paying each month
That would be 348 dollars
So if you pay upfront that takes 20 percent off
So you take the 348 and take 20 percent off
That would be 69.6
So then to find the amount saved you subtract 69.6 from 348
Which would be 278.4 dollars
They saved 278.4 dollars
Trapezoid ABCD is formed when right triangle EAB is cut by line DC such that DC || AB. Find the volume of the solid generated when the trapezoid is rotated about side DA. Round your answers to the nearest tenth if necessary.
The volume of the solid generated when the trapezoid is rotated about side DA is approximately 1586.6 cubic units (rounded to the nearest tenth).
What is volume?A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder, or a sphere. Different shapes have different volumes.
According to the given information:Given:
DC = 7
DA = 6
DE = 6
AB = 14
Height of the trapezoid:
ED = (DC/AB) * EA = (7/14) * EA = 0.5 * EA
Height = EA - ED = EA - 0.5 * EA = 0.5 * EA
Circumference of the cylindrical shell:
Circumference = 2 * π * AB = 2 * π * 14
Thickness of the cylindrical shell:
Since the trapezoid is being rotated about side DA, the thickness (Δx) will vary along DA. We'll integrate with respect to x from 0 to 6 (the length of DA).
Volume of the solid generated:
Volume = ∫(0 to 6) [2 * π * 14 * 0.5 * EA * Δx]
Substituting EA = DE + DA = 6 + 6 = 12Volume = ∫(0 to 6) [2 * π * 14 * 0.5 * 12 * Δx]
Integrating:
Volume = 2 * π * 14 * 0.5 * 12 * [x] from 0 to 6
Volume = 2 * π * 14 * 0.5 * 12 * (6 - 0)
Volume = 504 * π
Approximating to the nearest tenth:
Volume ≈ 504 * 3.14 ≈ 1586.6 cubic units (rounded to the nearest tenth)
Therefore, the volume of the solid generated when the trapezoid is rotated about side DA is approximately 1586.6 cubic units (rounded to the nearest tenth).
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The credit line is the maximum amount you can spend on a card before paying anything off.
pretty sure its true,
Step-by-step explanation:
A credit line is the amount of money that can be charged to a credit card account. Low credit utilization — that is, a credit line on which little has been borrowed — leads to a higher credit score. ... Credit line is also known as a credit limit.
This meal costs $19.00 .A sales tax is applied, followed by an automatic tip of 18 %.What is the total with tax and tip?
The total cost of he meat with tax and tip is $ 22.42
How to find the totalTo calculate the total cost with tax and tip, we need to follow these steps:
multiply the meal cost by the tip rate. when the tip rate is 18%, we have:
Tip amount = $19.00 * 0.18 = $3.42
Add the meal cost, sales tax, and tip amount to get the total cost:
Total cost = Meal cost + Sales tax + Tip amount
= $19.00 + $3.42
= $ 22.42
Therefore, the total cost with tax and tip is $22.42
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The graph shows the percent changes tn the annual city tax revenue for five cities from 1990 to 1995 and from 1995 to 2000. If the annual tax revenue in City B was $800,000 in 1990, what was the annual tax revenue in City B in 2000 ? $578,000 $680,000 $782,000 $800,000 $920,000
The annual tax revenue in City B in 2000 was $578,000.
From the graph, we can see that City B experienced a percent change of -28% from 1990 to 1995 and a percent change of -32% from 1995 to 2000
To find the annual tax revenue in City B in 2000, we start with the revenue in 1990, which is given as $800,000.
First, we calculate the tax revenue after the percent change from 1990 to 1995:
Revenue in 1995 = $800,000 + (-28% of $800,000) = $800,000 - $224,000 = $576,000
Next, we calculate the tax revenue after the percent change from 1995 to 2000:
Revenue in 2000 = $576,000 + (-32% of $576,000) = $576,000 - $184,320 = $391,680
Therefore, the annual tax revenue in City B in 2000 is $391,680, which is closest to $578,000 from the given answer choices.
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lily needs 16 inches of copper wire for an experiment.The wire is sold by the centimeter.Given that 1 inch = 2.54 centimeter, how many centimeters of wire does lily need.
Lily would need 40.64 centimeters of copper wire for her experiment.
Given data ,
We may use the conversion factor that 1 inch is equivalent to 2.54 centimeters to convert 16 inches to centimeters .
From the unit conversion ,
1 inch = 2.54 inches
Consequently, 16 inches is equivalent to :
40.64 centimeters are equal to 16 inches at 2.54 centimeters per inch.
Hence , Lily would thus want 40.64 centimeters of copper wire for her experiment.
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What is the equation of a line with a slope of 2 and a y-intercept of -5?
Answer:
y = 2x - 5
Step-by-step explanation:
y = mx + b
m = slope = 2
b = y-intercept = -2