How do you dilate an image?

Answer and Step-by-step explanation:

Let the cost of each ticket for Jessica be $x. If she sold one of the tickets at a profit of 10%, she got $x + 0.1*x = $1.1x from selling it. Similarly, if she sold the other ticket at a loss of $18, she got $x - $18 from selling it.

Since the difference in the selling prices of the two tickets is $36, we have $1.1x - ($x - $18) = $36. Solving this equation for x, we get $x = $36 / 0.1 = $360. Therefore, the cost of each ticket for Jessica was $360.

To determine whether Jessica made an overall profit or loss, we need to compare the total amount she received from selling the two tickets to the total cost of the tickets. The total amount she received from selling the two tickets was $1.1x + ($x - $18) = $1.1x - $18 + $x = $1.1x = $396. The total cost of the tickets was 2 * $360 = $720. Since $396 < $720, Jessica made a loss of $720 - $396 = $324 overall.

The coefficient of the variable term of the equation A = 4x - 20 is 4

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is given as

A = 4x - 20

On simplifying the equation , we get

The value of A = 4x - 20

Taking 4 as the common factor of the equation , we get

The value of A = 4 ( x - 5 )

Therefore , the coefficient of the equation A is 4

Hence , The coefficient of the variable term of the equation A = 4x - 20 is 4

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Using SAS, it can be shown that the two triangles formed are congruent. Then using SSS the length of the road from the intersection to the first turn can be found to be 200ft. Thus the total length of the tour is 1700ft.

What is congruent triangles?

If the three sides and the three angles of both angles are equal in any orientation, two triangles are said to be congruent.

The SAS formula states that if two sides and one angle of two triangle are the same then the triangles are congruent to each other.

Two lines AD, EC intersects each other at the point B . Therefore, ∠ABC = ∠DBE  .

The length of the sides AC = DE, BC = BE .

The triangles ΔABC, ΔBDE  are congruent to each other by the SAS formula.

The SSS formula states that two triangles are congurent to each other if the ratio of corresponding sides of two triangles are the same and vice-versa.

Use the SSS formula in the triangles ΔABC, ΔBDE and simplify to calculate the length of BD.

BD/200 = 300/300

BD/200 = 1

BD = 200  

Therefore, using SSS the length of the road from the intersection to the first turn can be found to be 200ft.

Add the lengths of AB, BD, DE, EB, BC, CA to calculate the total length of the tour.

200 + 200 + 300 + 350 + 350 + 300 = 1700

The total length of the tour is 1700ft.

Hence, using SAS, it can be shown that the two triangles formed are congruent. Then using SSS the length of the road from the intersection to the first turn can be found to be 200ft. Thus the total length of the tour is 1700ft.

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The options that are done by translational research or science are given as follows:

c. Take laboratory findings for development for use with patients at the bedside

d. Use clinical research findings to ask new questions for research in the laboratory

e. Discover practical applications for scientific theories and laws.

Translational research is a field of science that studies strategies to convert research results or data into strategies that actually benefit humans.

Hence statements c, d and e are correct, as they all involve strategies that benefit humans.

Statements a and b are incorrect, as:

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The weight of a randomly selected pack of gum that has a z-score of 3.11 is 54.6 grams

Z-score aids in determining how much the data deviates from the mean. It represents the frequency with which the data is above or below the mean.

Z-scores are calculated using the formula z = (x-)/, where x represents the raw score, the population mean, and the population standard deviation. The z-score is just the raw scoreless population mean, divided by the population standard deviation, as the calculation demonstrates.

According to the formula,

Z = ( X - μ ) / σ

Z being the Z-score,

The data point is X,

The standard variable is, and the mean is.

The z-score of the weight of a randomly chosen pack of gum is 3.11. As a result, this pack of gum weighs 3.11 standard deviations more than the average.

Z = ( X - μ ) / σ

3.11 X 2.4 = X - 47.1

X = 54.6 g

Therefore, choice B is the right one.

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No , Dilation doesn't increase the measure of angles

Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller.

This transformation produces an image that is the same as the original shape. But there is a difference in the size of the shape.

The new figure obtained after dilation is called the image and the original image is called the pre-image

We dilate any figure by scale factor.

Dilated figures will always be similar figures.

Similar figures have the same shape, angles with the same measures, and the lengths of corresponding sides have equal ratios. The ratio is the same as the scale factor of the dilation.

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With a water flow rate of 2 gallons per minute (gpm), the volume of water after 4 minutes will be 8 gallons of water.

Gallons per minute (gpm) is a measurement of the flow rate of the liquid. Gpm measures how much volume of water is flowing out (in imperial measurement of gallon) of the pipe, shower head, taps, pumps, etc in a given time.

Given that a drum is being filled with a flow rate of 2 gpm and the time given is 4 minutes, we need to figure out the volume of water using a water flow rate gallons per minute (gpm) we will then calculate with the following formula:

Volume = flow rate × time

Volume = 2×4

Volume = 8 gallons

Therefore the drum will be filled with 8 gallons of water after 4 minutes of filling.

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The required proportional ratio is y = 0.08 x. gives Halona 23 minutes to move her 1.93 kilometers to her neighbor's house. As long as you move at a steady pace.

How many kilometers Halona can run in x minutes y expressed as a ratio. Then find y in percentage. The relationship between two or more proportional or inversely proportional sets of values, whether they are directly related or not, is called proportionality.

Here we have

Substitute k into the proportional equation.

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By using Gram Schmidt process of orthogonalization, it can be calculated that-

Distance from a vector (2; 3; 1)t to the subspace spanned by the vectors [tex](1; 2; 3)^T , (1; 3; 1)^T[/tex] IS 2.51 units

What is Gram Schmidt process of orthogonalization?

In an inner product space, the set of mathematical operations which converts a set of linearly independent vectors into an orthonormal vector that spans the same set as spanned by the original vectors is called Gram Schmidt process of orthogonalization.

Distance from [tex]b=(2,3,1)^T[/tex] to   W= [tex]Span\left \{u_1= (1,2,3)^T,u_2=(1,3,1)^T \right \}[/tex]

Here, Gram Schmidt process of orthogonalization is used

[tex]v_1=u_1=(1,2,3)^T\\ v_2=u_2-\frac{ < u_2,v_1 > }{||v_1||^2}v_1[/tex]

     [tex]=(1,3,1)^T-\frac{(1,2,3)^T.(1,3,1)^T}{(1,2,3)^T.(1,2,3)^T}(1,2,3)^T\\ =(1,3,1)^T-\frac{1+6+3}{1+4+9}(1,2,3)^T\\ =(2/7,11/7,-16/14)^T[/tex]

[tex]v_2 =(2/7,11/7,-8/7) ^T[/tex]

[tex]proj_bW=\frac{(2,3,1)(1,2,3)}{(1,2,3)(1,2,3)}(1,2,3)+\frac{(2,3,1)(2/7,11/7,-8/7)}{(2/7,11/7,-8/7)(2/7,11/7,-8/7)}(2/7,11/7,-8/7)[/tex]

             =(1.42, 5.11,  -0.22)

[tex]b-proj_bW[/tex]=(2,3,1)-(1.42,5.11, -0.22)=(0.58,-2.11,1.22)

Required distance from b onto W=

[tex]||b-pro_bW||=||(0.58,-2.11,1.22)||=\sqrt{(0.58)^2+(-2.11)^2+(1.22)^2}[/tex] = 2.51 units

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The measure of angle 2 is 61 degrees.

The measure of angle 4 is 119 degrees.

What is triangle?

A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.

In the given triangle the measure of two triangles is given which is 61° and 58°.

We have to solve for the measure of angle 2.

Since, the sum of three angles of triangle's is 180 degrees.

⇒ 61° + 58° + ∠2 = 180°

          119 ° + ∠2 = 180°

                     ∠2 = 180° - 119°

                     ∠2 = 61°

Hence, the measure of angle 2 is 61 degrees.

Now to find measure of angle 4.

Here ∠2 and ∠4 are planer angles and their addition is 180°.

⇒ ∠2 + ∠4 = 180°

61° + ∠4 = 180°

∠4 = 180° - 61°

∠4 = 119°

Hence, the measure of angle 4 is 119°.

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Answer:Yes

Step-by-step explanation: It came because your asking questions that you have to gather data for.

Answer:

[tex]\textsf{a)} \quad y=-4x+19[/tex]

[tex]\textsf{b)} \quad y=\dfrac{1}{4}x+2[/tex]

Step-by-step explanation:

From inspection of the graph, two points on the line are:

Substitute these points in the slope formula to find the slope of the line:

[tex]\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{2-6}{2-1}=\dfrac{-4}{1}=-4[/tex]

Lines that are parallel have the same slope.

Therefore, a line parallel to the given line has a slope of -4.

To write an equation of the parallel line, substitute the found slope and point (4, 3) into the point-slope formula and rearrange:

[tex]\implies y-y_1=m(x-x_1)[/tex]

[tex]\implies y-3=-4(x-4)[/tex]

[tex]\implies y-3=-4x+16[/tex]

[tex]\implies y=-4x+19[/tex]

If two lines are perpendicular to each other, their slopes are negative reciprocals.

Therefore, a line perpendicular to the given line has a slope of ¹/₄.

To write an equation of the parallel line, substitute the found slope and point (4, 3) into the point-slope formula and rearrange:

[tex]\implies y-y_1=m(x-x_1)[/tex]

[tex]\implies y-3=\dfrac{1}{4}(x-4)[/tex]

[tex]\implies y-3=\dfrac{1}{4}x-1[/tex]

[tex]\implies y=\dfrac{1}{4}x+2[/tex]

Answer:

200

hope you like it

Answer:

X= 121

Step-by-step explanation:

A five sided polygon (Pentagon)= (2n-4) x 90degrees

=(2(5) -4) x90 = (6 x 90)=540 degrees

Hence, x+ 92+135+105 + 87= 540 degrees

x+ 419=540

x= 540-419

x=121

If winners are chosen randomly from the 300 people who bought this lottery, the expected profit of a random person is $0.766..

The expected profit under a probability demand distribution is calculated by multiplying the profit amount by the probability of achieving that profit.

It is denoted as E(X) . We have given that,

A $1 lottery ticket has a number of prizes.

Probability of winning first prize , $10 = p₁ = 3/300 = 1/100

probability of winning a 2nd prize, $50

= p₂= 2/300= 1/150

probability of winning a 3rd prize, $100

= p₃ = 1/300 = 1/300

E = expectation value = ∑ Vᵢpᵢ where Vᵢ = value of prize, pᵢ = probability of winning prize,

E = $10 ×1/100 + $50×1/150 + $100×1/300

=> E = $10/100 + $50/150 + $100/300

Taking LCM as 300 on right hand side,

=> E =( $30+ $100+$100)/300

=> E = $(230/300) = $0.766

So, expected winnings for a person buying one ticket is $0.766..

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Answer:

Step-by-step explanation:

try iproxy from chrome

Answer:droneblocks

Step-by-step explanation:

Answer:

  P(x) = (x +1)(x -2)(x -4)

  see the 2nd attachment for a graph

Step-by-step explanation:

You want the factors of P(x) = x³ - 5x² + 2x + 8, given that (x+1) is one of the factors. You also want a graph of it.

The quotient from dividing P(x) by the given factor will be a quadratic we can factor to find the other two binomial factors. The first attachment shows that quotient is (x² -6x +8).

To factor this quadratic, we look for factors of 8 that have a sum of -6. They are -2 and -4. Hence the remaining binomial factors are (x -2)(x -4).

The desired product is ...

  P(x) = (x +1)(x -2)(x -4)

The second attachment shows a graph of P(x). The y-intercept is the constant in the equation, 8. The x-intercepts are the values of x that make the factors zero.

Article IV Clause 2 of the US Constitution is referred to as the Supremacy Clause. It proves that all other laws and international treaties are subordinate to US federal law.

The United States Constitution's Supremacy Clause declares that the Constitution, federal laws adopted in accordance with it, and treaties signed in accordance with its authority are the "supreme Law of the Land" and supersede any conflicting state laws. According to its provisions, state constitutions are subservient to the supreme law and state courts are obligated by it.

Moreover, federal statutes and treaties must be within the bounds of the Constitution, i.e., they must be in accordance with the enumerated powers of the federal government and must not violate other constitutional restraints on federal power that specify that the federal government only has the authority granted to it by the Constitution.

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Answer: 9,585

Step-by-step explanation:

Answer:

$9,585.00

6.5x9000 over 100

The inequalities are among the constraints for this situation include the following;

x + y ≥ 50

x ≥ 5y

y ≤ 30

In order to write a system of inequalities to describe this situation, we would assign variables to the number of key chains and number of thumb drives respectively, and then translate the word problem into algebraic equation as follows:

Based on the information provided, we can logically deduce that there are three (3) inequalities with respect to the constraints for this situation.

Since Sarah needs to make at least (greater than or equal to) 60 gift bags for an event with each gift bag containing at least 1 thumb drive or 1 key chain, we have;

x + y ≥ 50

By using at least 5 times as many key chains as thumb drives, we have;

x ≥ 5y

Lastly, Sarah has 30 thumb drives and 200 key chains;

y ≤ 30

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Answer:

5

Step-by-step explanation:

3 × 5= 15

15 + 5= 20

Answer: 5

Step-by-step explanation: 20-5 is 15 and then 3 * x must be 5 since 3x5=15.

Answer:

c=8b

Step-by-step explanation:

The number of crayons is equal to 8 times the number of boxes.

Therefore ,  95% confidence interval for the difference in mean mcls levels is 95% C.I = {4.0978 , 3.1423}.

In frequentist statistics, a confidence interval is a range of estimates for an unobserved parameter. The most frequent confidence level is 95%, while other levels, such 90% or 99%, are occasionally used for computing confidence intervals.

Here,

Given:

c= 1.95 M.E = 0.5 ,n=?,C.V=1.96

Using formula,

=> M.E = C.V + [tex]\frac{c}{\sqrt{n} }[/tex]

=> 0.5 = 1.96 + 1.95/[tex]\sqrt{n}[/tex]

=> 0.5 = 3.822/[tex]\sqrt{n}[/tex]  

=> [tex]\sqrt{n}[/tex]  = 3.822/0.5

=> [tex]\sqrt{n}[/tex]  = 7.644

=> n =58.43

=> n ≈ 58

So, n = 64 , [tex]x^{'}[/tex]=3.62,α=1.95

=> u = [tex]x^{'}[/tex] ± C.V * α/[tex]\sqrt{n}[/tex]

=> u = 3.62 ±  1.96 * 1.95/√64

=>  u = 3.62 ± 0.47775

=>  u = 3.62+ 0.47775 = 4.0978

 or u=3.62-0.47775 = 3.1423

95% C.I = {4.0978 , 3.1423}

Therefore ,  95% confidence interval for the difference in mean mcls levels is 95% C.I = {4.0978 , 3.1423}.

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10 choose 3 with replacement gives you a mere 220 combinations. A “combination” lock uses permutations, so there would be 1000 possibilities.

What is Combination?

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant.

Mathematically, a combination is a selection of things without regard for order.

The formula for “combination with replacement” is:

   [tex]C^{R} (n,r)=\frac{(n+r-1)!}{r! (n-r)!}[/tex]

10 choose 3 with replacement gives you a mere 220 combinations.

The toss of three identical 10-sided dice would have 220 possible outcomes.

Hence, A “combination” lock uses permutations, so there would be 1000 possibilities.

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Amount paid by Ethan to buy a video game on sale of 20% with usual cost of $39.99 is equal to $32 ( nearest cent ).

As given in the question,

Usual cost of Video game bought by Ethan = $39.99

Sale discount received by Ethan on video game = 20%

Let 'x' be the amount paid by Ethan for video game.

Discount amount = 20% of $39.99

                             = ( 20 / 100 ) × 39.99

                             = 799.8/100

                             = $ 7.998

                             = $7.99

Amount to be paid by Ethan 'x' = $39.99 - $7.99

                                                   = $32 ( nearest cent)

Therefore, the amount paid by Ethan to purchase a video game on sale discount of 20% is given by $32.

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Answer:-2/3

Step-by-step explanation: the rise is 2 and the run is 3

Answer:

[tex]\frac{1}{6}[/tex]

Step-by-step explanation:

[tex]\frac{1}{2}[/tex]  of  [tex]\frac{1}{3}[/tex]

[tex]\frac{1}{2}[/tex]  ×  [tex]\frac{1}{3}[/tex]  =  [tex]\frac{1}{6}[/tex]

Hope this helps! :)

Answer:

= 1/6

Step-by-step explanation:

1/2 0f 1/3

is:

(1/2) (1/3) = (1*1) / (2*3)

= 1/6

Answer: -1

Step-by-step explanation: If you plug in 0 as x, the equation will become f(0)=-0-1. If you solve this, then f(0)=-1

Following are all of the subparts' solutions using the probability formula:

Red ball (A) P: 5/8

(B) P: 7/8 (NOT Yellow)

(C) P(yellow or white): 3/8

Probability is a branch of mathematics that deals with numerical representations of the likelihood of an event occurring or of a proposition being true.

The probability of an event is a number between 0 and 1, with 0 approximately denoting impossibility and 1 denoting certainty.

Probability formula: P(E) = favorable events/Total events

(A) P(red ball):

P(E) = favorable events/Total events

P(E) = 5/8

(B) P(NOT Yellow)

P(E) = favorable events/Total events

P(E) = 7/8

(C) P(white or yellow)

P(E) = favorable events/Total events

P(E) = 3/8

Therefore, the answers to all the subparts using the probability formula are shown:

(A) P(red ball): 5/8

(B) P(NOT Yellow): 7/8

(C) P(white or yellow): 3/8

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The value of angle X is 69.10°

The square of a side of a plane triangle equals the sum of the squares of the remaining sides minus twice the product of those sides and the cosine of the angle between them.

Given is a triangle XYZ, with sides 17ft, 8ft and 16ft

cosX = (z²+y²-x²)/2yz

cosX = (17²+8²-16²)/2x17x8

cosX = 97/272

X = cos⁻¹(97/272)

X = 69.10°

Hence, The value of angle X is 69.10°

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