Circle X with a radius of 6 units and circle Y with a radius
of 2 units are shown.
Which steps would prove the circles similar?
6
0 Translate the circles so they share a common center
point, and dilate circle Y by a scale factor of 4.
0 Translate the circles so the center of one circle rests
on the edge of the other circle, and dilate circle Y by a
scale factor of 4.
Y
0 Translate the circles so they share a common center
point, and dilate circle Y by a scale factor of 3.
Os Translate the circles so the center of one circle rests
on the edge of the other circle, and dilate circle Y by a
scale factor of 3.​

Circle X With A Radius Of 6 Units And Circle Y With A Radiusof 2 Units Are Shown.Which Steps Would Prove

Answers

Answer 1

Answer:

Option C.

Step-by-step explanation:

It is given that radius of circle X is 6 units and radius of circle Y is 2 units.

Here, circle Y is smaller and circle X is larger.

[tex]\text{Scale factor}=\dfrac{\text{Radius of circle X}}{\text{Radius of circle Y}}[/tex]

[tex]\text{Scale factor}=\dfrac{6}{2}[/tex]

[tex]\text{Scale factor}=3[/tex]

If we translate the circles so they share a common center point, and after that we dilate circle Y by a scale factor of 3, then we get circle which is equal to circle X.

We know that, after dilation the figure and its image are similar.

Hence, we can say that both circles are similar.

Therefore, the correct option is C.

Answer 2

Answer:

the answer is c

Step-by-step explanation:

Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 3.

edge 2020-2021


Related Questions

Which of the following are not polynomials? Able to be more than one.
A. X-2 +X+1
B. x2/3 + v3x+1
c.2/3x-2+x+1
D. x3+0x2 + 2x + v2
E.2/x3+x+1/2

Answers

The terms that are not polynomial are x2/3 + v3x+1. The correct option is B.

What are polynomial terms?

The portions of the equation that are often separated by "+" or "-" signs are known as polynomial terms. Thus, each term in a polynomial expression is a portion of the polynomial. For instance, there will be 3 terms in a polynomial like 2 x 2 + 5 + 4 for example.

x2/3 + √3x+1 is not a polynomial term because the power is in a fraction in the polynomial term, the power is not in a fraction.

Therefore, the correct option is B. x2/3 + v3x+1.

To learn more about polynomial terms, refer to the link:

https://brainly.com/question/11536910

#SPJ1

using the frequency table. what fraction of students passed the test

Answers

Add the frequency for 16 and above :

5 + 7 + 7 = 19

19 passed

Total students ( add all frequencies) is 30

The fraction that passed is 19/30

Each morning Rin rides 1.5 miles to school and then rides home in the afternoon. Later in the evening, she rides to the park and back home. Over the 5 school days, she rides a total of 25 miles. Which equation can be used to find the distance she rides each evening?
1.5 + x = 25
1.5 + 1.5 + x = 25
5 (1.5 + x) = 25
5 (1.5 + 1.5 + x) = 25

Answers

Answer:

Last equation given in the list of possible answers:

5 ( 1.5 + 1.5 + x ) = 25

Step-by-step explanation:

We need to include in the total addition of miles ridden during the week:

a) 1.5 miles to the school

b) 1.5 miles from school back home

c) x miles for the evening ride

so for the miles ridden per day we have: "1.5 +1.5 + x"

Now, since per week she does 5 days like this, then we need to multiply the expression above by 5 in order to total the number of miles she rides weekly (25 miles)

5 ( 1.5 + 1.5 + x ) = 25

And we can use this equation to find the amount "x" that Rin rides in the evening.

Answer:

The answer is D.5 (1.5 + 1.5 + x) = 25

Step-by-step explanation:

A national survey showed that 44% of college students drink. A professor provided his own survey by choosing a random sample of 244 students and found that 96 of them drink. Is this an unusual result contradicting the national survey or it is in line with it? Answer the question by determining how far away the proportion is from 44% in terms of standard deviations.

Answers

Answer:

It is an unusual result contradicting the national survey.

Step-by-step explanation:

National survey showed 44% of college students who drink.

The professor's survey showed that 96/244 = 39% drink.

The professor's survey deviated from the national survey is 5% (44% - 39%) representing about 0.25% (5% squared) variance.

Standard deviation is the spread of a set of numbers from their mean.  In other words, it measures how far an observed value is from the mean. It can be calculated by getting the square root of the variance.

An experiment consists of tossing 3 coins at the same time. What is the probability of tossing 2 tails and 1 head?

Answers

Answer:

3/8.

Step-by-step explanation:

The probability of a head or a tail on one toss of a single coin is 1/2.

So the required probability when 3 coins are tossed of getting say 3 heads  = (1/2)*3 = 1/8.

The probabilities are multiplied because each event ( 1 coin tossed) is independent of the others.

There are  3 ways to get 2 H and 1 tail  (HHT, HTH and THH) so the answer is  3 * 1/8

= 3/8.

Answer:

3/8 or 0.375 or 37.5%

Step-by-step explanation:

You have three coins. The probability of getting a head or a tail for each coin is 1/2. So,

[tex]\frac{1}{2}[/tex] × [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{2}[/tex] = [tex]\frac{1}{8}[/tex]

There are 8 possible combinations that can come from tossing 3 coins at the same time: HHH, HHT, HTH, HTT, THH, THT , TTH , or TTT.

Every time you toss the 3 coins, there is a [tex]\frac{1}{8}[/tex] chance that you get either of these combinations. So,

[tex]\frac{1}{8}[/tex] + [tex]\frac{1}{8}[/tex] + [tex]\frac{1}{8}[/tex] = [tex]\frac{3}{8}[/tex]

The probability of tossing 2 tails and 1 head is 3/8.

Hope this helps.

4 friends evenly divided up an n-slice pizza. One of the friends, Harris, ate 1 fewer slice than he received. How many slices of pizza did Harris eat? Write your answer as an expression.

Answers

Answer:

m-2times 4

Step-by-step explanation:

Answer:

n/4 -1

Step-by-step explanation:

i got it from khan

If a varies directly as the cube root of B and if a equals to 3 when B equals to 64 find the formula connecting the variables hence find b when a equals to 15 / 4

Answers

Answer:

a=k1[tex]\sqrt[3]{B}[/tex]

B=125

Step-by-step explanation:

Given :

a=3

B=64

According to question

a ∝ [tex]\sqrt[3]{B}[/tex]

therefore

a=k1 [tex]\sqrt[3]{B}[/tex]........Eq(1)

K1=[tex]\frac{a}{\sqrt[3]{B} }[/tex]......Eq(2)

Putting the value of a and B we get in Eq(2) we get

[tex]K1=\frac{3}{4}[/tex]

Putting the value of k1 in Eq(1)

[tex]a=\frac{3}{4}\sqrt{B}[/tex] .......................Eq(3)

putting the value of a=15/4 IN Eq(3) we get

[tex]\frac{15}{4}\ =\frac{3}{4} \sqrt[3]{B} \\\\\sqrt[3]{B}\ =\ 5\\Cubing\ both\ side\ we\ get\\B=125[/tex]

is {(1, 2), (7, 6), (3, 2), (1, 0), (5, 6)} a relation? why?

Answers

Answer: Yes.

Step-by-step explanation: In each bracket, there is an odd and even number.

Two researchers select a sample for a population with a mean of 12.4 and a standard deviation of 9. Researcher A selects a sample of 25 participants. Researcher B selects a sample of 15 participants. Which sample is associated with a larger standard error

Answers

Answer:

researcher B with 15 participants will be associated with a larger standard error

Step-by-step explanation:

Standard error can be expressed mathematically as;

E = zr/√n ......1

Where

z = z value of test statistics

r = standard deviation

n = number of samples

From equation 1, given that the standard deviation and the z value for the two researchers are thesame, then we can say;

E = zr/√n

E = k/√n

E1/E2 = √(n2/n1)

n1 = 25

n2 = 15

E1/E2 = √(15/25)

E1/E2 = 0.774596669241

E1 = 0.77E2

Therefore, E1 is less than E2

E1 < E2

And also the larger the number of samples the lower the standard error.

Since researcher B have a lower number of samples it will have a larger standard error.

So, researcher B with 15 participants will be associated with a larger standard error

Determine whether the results below appear to have statistical​ significance, and also determine whether the results have practical significance. In a study of a weight loss​ program, 77 subjects lost an average of 4141 lbs. It is found that there is about a 4040​% chance of getting such results with a diet that has no effect. Does the weight loss program have statistical​ significance?

Answers

Answer:

No, the weight loss program doesn't have statistical​ significance.

Step-by-step explanation:

We are given that in a study of a weight loss​ program, 7 subjects lost an average of 41 lbs.

It is found that there is about a 40% chance of getting such results with a diet that has no effect.

Firstly, statistical significance means that the event is sure to be happen and there is a proper statistical calculation behind it.

But here it is stated that there is a 40​% chance of getting such results with a diet that has no effect which means that the event is unlikely to happen by chance and it is just a prediction so, the weight loss program is not statistically significant.

Now, practically significant means that there is a large difference in the subjects being tested.

Here, the weight loss program is considered to be practically significant because there is a large amount of weight loss of 43 lbs of the subjects which is a large amount.

Suppose the area of a rectangle is represented by the expression 100 – 49. When the expression is fully factored, the factors represent the dimensions of the rectangle. What expressions represent the dimensions of the rectangle?

Answers

Answer:

a - b and a + b.

Step-by-step explanation:

Let's say the area of a rectangle is represented by the expression 100a^2 - 49b^2.

According to an algebraic formula, a^2 - b^2 = (a - b) * (a + b) = a^2 - ab + ab - b^2.

In this case, the square root of 100 is 10, and the square root of 49 is 7. That means that we have (10a - 7b) * (10a + 7b).

We can check that by doing... (10a - 7b)(10a + 7b) = 100a^2 - 70ab + 70ab - 49b^2 = 100a^2 - 49b^2.

Since it matches to the expression given, the expressions that represent the dimensions of the rectangle are (a - b) and (a + b).

Hope this helps!

The zeroes of the function are . of the zeroes have a multiplicity of 2.

Answers

Answer:

The three roots have a multiplicity of 2

Step-by-step explanation:

The zeros of the function refers to those points on the x-axis on which the curve passes through

These are the points -2,0 and 4

Now we want to determine which of these points has a multiplicity of 2?

The correct answer is that all have a multiplicity of 2 since 2 can be factored out

2(-1) , 2(0) and 2(2)

Answer:

the answer is A. none

This table shows values that represent a quadratic function.
x
0
1
2
3
4
5
6
y
--1
-2
5
-10
-17
-26
-37
What is the average rate of change for this quadratic function for the interval
from x = 3 to x = 5?
A. 8
B. 16
O C. -16
c
D. 8

Answers

Answer:

D

Step-by-step explanation:

The y values change by -26 - (-10) = -16 in the interval and the x values change by 5 - 3 = 2 so the average rate of change is -16 / 2 = -8.

Answer:

D. -8

Step-by-step explanation:

Risked it all for my grades.

An A-frame cabin is 26.23 feet high at the center and the angle the floor makes with the base is 53. How
wide is the base?

Answers

Answer:

60.84 feet

solution,

[tex]tan \: theta = \frac{perpendicular}{base} \\ tan \: (53) = \frac{bc}{ac} \\ tan \: (53) = \frac{26.23}{ac} \\ ac = \frac{26.23}{0.4311} \\ ac = 60.84 \: feet[/tex]

Hope this helps...

Good luck on your assignment..

Help is much appreciated. It is easy but, for me I am just confused.

Answers

What do you need help on ?
What is the question that you’re confused on or the thing?

Form a cubic polynomial whose zeroes are 2, 1/3 and 1/2.

Answers

Answer:

6x³ - 17x² + 11x - 2

Step-by-step explanation:

The cubic polynomial in general form is:

ax³+bx²+cx+d = (x-x1)(x-x2)(x-x3)

zeroes are

x1=2, x2=1/3, x3=1/2

then we can get the polynomial as:

(x-2)(x-1/3)(x-1/2)=0(x-2)(3x-1)(2x-1)=0(3x²-x-6x+2)(2x-1)=0(3x²-7x+2)(2x-1)=06x³-3x²-14x²+7x+4x- 2=06x³ - 17x² + 11x - 2= 0

So the required polynomial is:

6x³ - 17x² + 11x - 2

Answer:

f(x) = 6x³ - 17x² + 11x - 2

Step-by-step explanation:

Given the zeros x = 2, x = [tex]\frac{1}{3}[/tex], x = [tex]\frac{1}{2}[/tex] then the factors ar

(x - 2), (x - [tex]\frac{1}{3}[/tex] ), (x - [tex]\frac{1}{2}[/tex] )

By equating the fractional factors to zero we can express them as integer factors, that is

x - [tex]\frac{1}{3}[/tex] = 0 ( multiply through by 3 )

3x - 1 = 0

x - [tex]\frac{1}{2}[/tex] = 0 ( multiply through by 2 )

2x - 1 = 0

Thus the factors are (x - 2), (3x - 1), (2x - 1)

The polynomial is then the product of the factors.

f(x) = (x - 2)(3x - 1)(2x - 1) ← expand last 2 factors using FOIL

     = (x - 2)(6x² - 5x + 1) ← distribute

     = 6x³ - 5x² + x - 12x² + 10x - 2 ← collect like terms

f(x) = 6x³ - 17x² + 11x - 2 ← cubic polynomial

PLEASE HELP ME! Sally is paid a fixed amount of money to walk her neighbor's dog every day after school. When she is paid each month, she puts aside $20 to spend and saves the remaining amount. Write an expression that represents the amount Sally will save in 6 months if she earns m dollars each month.

Answers

Answer: 6($m - $20)

Step-by-step explanation:

From the question, we are told that Sally earns m dollars each month to walk her neighbor's dog every day after school and that when she is paid each month, she puts aside $20 to spend and saves the remaining amount. This means that Sally saves:

$m - $20.

The expression that represents the amount Sally will save in 6 months will be so multiplied by the amount saved every month. This will be:

= 6($m - $20)

Answer:

Ok first of all. You cant be in highschool with this question. because this is a 6th grade question. Second that person who gave you that asnwer is wrong because thats not even the answer now I advise you to listen for future refrences.

Step-by-step explanation:

she is paid $65 and she saves $20 so subtract those numbers then you get $45 so that means she saves $20 and had $45 to spend. that means 20 times 6(months) is... $120 so $120 is your answer. But, to be more professional "Sally has saved $120 in 6 (Months.)

I need help with converting this to get the answer!! Please help!! :D

Answers

Answer:

Volume of the water droplet = 0.00001 cubic meter

Step-by-step explanation:

∵ 100 centimetres = 1 meter

∴ 1 centimetre = [tex]\frac{1}{100}[/tex] meter

                       = 0.01 meter

Volume of a water droplet = 0.1 cubic centimetre

                                            = 0.1 (centimetre)³

By putting 1 centimetre = 0.01 meter

Volume of the water droplet = 0.1 (0.01 meter)³

                                                 = 0.1 × (0.01)³ meter³

                                                 = 0.1 × 0.0001 meter³

                                                 = 0.00001 meter³

Solve the system of equations using substitution.
X = 2
4 = 2y - 6x

Answers

Answer:

-2y=-6(2)-4

-2y=-12-4

-2y/-2=-16/-2

y=8

A theater sold 980 tickets for a ballet. The orchestra seats cost $50 each and the balcony seats cost $35 each. The theater collected $44,350 in ticket sales for the performance. How many balcony tickets were sold?

Answers

Answer:310

Step-by-step explanation:

Answer:

Balcony tickets = 310

Step-by-step explanation:

Let x be orchestra seat

and y be balcony seat

x + y = 980

x = 980 - y................ (1)

50x + 35y = 44350

Substituting in equation 2,

50 (980 - y) + 35y = 44350

y = 310

Christa's distance from school is represented by y=-100x +1300.
Stephen's distance from school is represented by y= -60x +1000.
Using the slope and y-intercept from each equation, find out who lives
farther from school and who walked to school faster.

Answers

Answer:

Christa walked faster and farther than Stephen.

Step-by-step explanation:

Answer:

Step-by-step explanation:

If you think of the y-axis is the "distance" axis (in feet for example), and the x-axis as the time axis (in minutes for example), then what you have is a velocity graph (velocity is the distance traveled divided by the time it takes to get there). If you haven't moved at all, your time is 0 (ON the y-axis) and the distance value (the y-intercept) is where you started. In other words, if no time has gone by, I haven't moved from my initial position yet. So the y-intercept of both of those equations serves as the intial distance each is from school.

In the equation y = mx + b, b is the y-intercept. The y-intercept in Christa's equation is 1300 (in feet) which means that before she leaves her house for school (no time has gone by yet), her initial distance from school is 1300 feet. Likewise, for Stephen. The y-intercept in his equation is 1000, so his initial distance from school is 1000 feet. Christa lives farther away than does Stephen.

Now for the rate they are each walking...

Rate is also (sort of the same thing as) velocity. It is represented in our equation by the m. In a "regular" slope-intercept equation, this would be the slope. Slope is the rate at which something is changing. Since our graph is a velocity graph--distance over time--our slope represents the distance each covers for every minute they walk. Christa's velocity is 100 feet per minute and Stephen's is 60 feet per minute. From this we can determine that Christa walks faster because she covers more feet per minute than does Stephen.

The equations are both negative because they are shortening their distances to the school. By this I mean that as they continue walking to school and the amount of time that goes by gets greater, the distance they are from the school gets smaller.

Hope this helps you understand what linear equations actually mean to the real world!

Find the value of 5x+9y 45xy, given x = 3/5 and y =7/9.

Answers

Answer:

150

Step-by-step explanation:

5 × 3 ÷ 5 + 9 ÷ 7 × 9 × 4 × 3 ÷ 5 × 7 ÷ 5

3 + 7 × 3 × 7

3+147

150

Hector and Francis spent a total of $47.50 at the mall. If Hector spent 50% more than Francis, how much did Francis spend at the mall? $19.00 $23.50 $28.50 $31.67

Answers

Answer:

Francis spent $19 and Hector spent $28.50

A. $19

Step-by-step explanation:

The total amount spent between the two person = $47.5

If Hector is represented by H

Francis represent by F

Therefore equation 1 = H + F = 47.5

H +F = 47.5 ..........(eqn 1)

From the question

Hector = Francis + 50% Francis

Translating this into an equation we get,

H = F + 0.5F ...... (eqn 2)

Substitute equation 2 into equation 1, we get:

(F + 0.5F) + F = 47.5

Thus 2.5F = 47.5

F = 47.5/2.5 = 19

Classify the number -61.
1. Integer, rational, real
2. Rational, real
3. Whole, integer, rational, real
4. Natural, whole, integer, rational, real

Answers

Answer:

1. Integer, rational, and real

Step-by-step explanation:

Remember:

(This is how my teacher taught it; yours may have done it differently)

Real numbers are numbers that can be plotted on a number line.

Rational numbers can be represented as a fraction (if they can't be represented as such they are irrational).

Integers are natural numbers, the opposite of natural numbers, and zero.

Whole numbers are natural numbers and zero.

Natural numbers are numbers you can count with.

-61 fits under real numbers, rational numbers, and integers. Assuming you want to be as specific as possible, the answer will be 1. Integer, rational, and real.

Solve for x
3/10 = x/7
Give your answer as an improper fraction in its simplest form!!!!!

Answers

Answer:

x = 21/10

Step-by-step explanation:

3/10 = x/7

Cross multiply.

10x = 21

x = 21/10

Answer:

x is 21/10

Step-by-step explanation:

3/10 = x/7

Multiply through by the LCM of 10 and 7 which is 70

we have

3/10 × 70 = x/7 × 70

21 = 10x

Divide both sides by 10

We have

21/10 = 10x /10

x = 21/10

Hope this helps you

Evaluate. 8−2⋅3+7 Enter your answer in the box

Answers

Answer:

9

Step-by-step explanation:

8−2⋅3+7

PEMDAS

Multiply and divide first

8−6+7

Then add and subtract

2+7

9

Answer:

9

Step-by-step explanation:

Remember to follow the order of operations, PEMDAS.  Note that PEMDAS =

Parenthesis

Exponent (& Roots)

Multiplication

Division

Addition

Subtraction

First, multiply -2 with 3:

-2 * 3 = -6

Next, follow the left -> right rule. First subtract, then add:

8 - 6 = 2

2 + 7 = 9

9 is your answer.

~

If mArc R V = mArc V U , what is mArc V U ? 47° 52° 64° 87°hat is mArc S T?

Answers

Answer:

The answer is below

Step-by-step explanation:

In circle O, RT and SU are diameters. Circle O is shown. Line segments S U and R T are diameters. Line segment O V is a radius. Point V is between points R and U. Angle S O R is (13 x) degrees and angle T O U is (15 x minus 8) degrees. If mArc R V = mArc V U , what is mArc V U ? 47° 52° 64°  87°

Given that:

mArc R V = mArc V U, Angle S O R = 13 x degrees and angle T O U = 15 x - 8 degrees

∠SOR = ∠TOU  (Vertically opposite angles are equal). Therefore:

13 x = 15x - 8

solving by calculating the value of x to satisfy the equation: Subtracting 13x from both sides

13x - 13x = 15x - 8 - 13x

0 = 15x - 13x - 8

2x - 8 = 0

Adding 8 to both sides:

2x - 8 + 8 = 0 + 8

2x = 8

2x/2 = 8/2  

x = 4

∠SOR = 13x = 13(4) = 52°

∠TOU = 15x - 8 = 15(4) - 8 = 60 - 8 = 52°

Let a = mArc R V = mArc V U

Therefore:

mArc R V + mArc V U + ∠TOU = 180 (sum of angles on a straight line)

Substituting:

a + a + 52 = 180

2a = 180-52

2a = 128

a = 128/2

a= 64°

mArc R V = mArc V U = 64°

Answer:

C) 64 degrees

Step-by-step explanation:

just took the test on edg2020

34.9 was rounded to 1 decimal place. What is the upper bound?

Answers

Answer:  34.95

=======================================================

Explanation:

The upper boundary, or upper bound, is a fence of sorts.

Note how the following values all round to 34.9, when rounding to one decimal place

34.9434.94534.94934.949934.9499934.94999934.949999934.94999999

We can keep going with the pattern of 9s at the end and whatever value you form will still round to 34.9; so you can see that there is no largest value we can reach that will round to 34.9

All of those values are slowly approaching 34.95, which is the upper fence I mentioned. We can get closer and closer to this value, but we can't actually reach it. Otherwise, 34.95 will round to 35.0

please help find the correct solutions for the equations below 2x+20=-3x-25 x= -7x+14=4x- 19 x= 10x-3=-5x-18 x= answers 8 5 6 24 -1 -9 20 3 10 -2

Answers

Answer:

I think its 8

Step-by-step explanation:

write an equation to represent the cost of printing photos (C) in terms of the number photos printed (P)

(use picture for the information)

PLEASE answer asap! it will be appreciated.

Answers

Answer: C=0.20p

Step-by-step explanation:

As you could see if you print 10 photos you will have to pay 2 dollars which means if you print 1 photo you will have to pay 20 cents.

Other Questions
How many multiples of 4, that are smaller than 1,000, do not contain any of the digits 6, 7, 8, 9 or 0? Plz help! -7(2k-3)=-35 fill in the empty spaces __ k +21=-35 __ k=__ k=__ ANSWERS -14 1 -56 21 7 -7 6 -14 4 24 -1 When 75.5 grams of phosphorus pentachloride react with an excess of water, as shown in the unbalanced chemical equation below, how many moles of hydrochloric acid will be produced? Please show all your work for the calculations for full credit. PCl5 + H2O --> H3PO4 + HC Write an expression involving integers for each statement a) moving 4 steps left, then moving 9 steps right b) on 3 separate occasions, Shari lost 2 pencils Help on this please all questions Question #38: Which sentence uses the past tense of to study correctly? A. Mark is studying for his math test with Margie. B. Mark will study for his math test with Margie. C. Mark studied for his math test with Margie. find the two consecutive odd integers such that 1/3 the smaller plus the larger equals 7 more than the sum of the two numbers www.g A bag contains 3 white counters, 10 black counters, and 4 green counters. What is the probability of drawing (a) a white counter or a green counter Suppose Azerbaijan decides to increase its production of nails by 20. What is the opportunity cost of this decision HURRY ASAP PLZZZZ ANYONE???? There are 25 towns in a certain country, and every pair of them is connected by a train route. How many train routes are there? By saying that the electrostatic field is conservative, we do not mean that:_______ The potential difference between any two points is zero. It is the gradient of scalar potential. Its circulation is identically zero along any path. Its curl is identically zero everywhere. The work done in moving a charge along closed path inside the field is zero. how to reword "for my art viewing i explored". its dumb but im stuck and i dont like the way it sounds. HURRY A positive kaon (K+) has a rest mass of 494 MeV/c , whereas a proton has a rest mass of 938 MeV/c. If a kaon has a total energy that is equal to the proton rest energy, the speed of the kaon is most nearly:___________. A. 0.25c B. 0.40cC. 0.55c D. 0.70c E. 0.85c Graph the equation y = 1/8x-7 Name the country that BEST fits the following emerging adult life paths: (1) often lives with parents until the early thirties; (2) lives independently with government help; (3) encourages independence but doesn't offer help with financing college and finding a career.A) (1) Greece; (2) Sweden; (3) United States B) (1) United States; (2) Sweden; (3) Greece C) (1) Sweden; (2) Greece; (3) United States D) (1) United States; (2) Greece; (3) Sweden The total value (debt plus equity) of Wilson Dover Inc. is $500 million and the face value of its 1-year coupon debt is $200 million. The volatility () of Wilson Dover's total value is 0.60, and the risk-free rate is 5%. Assume that N(d1) = 0.9720 and N(d2) = 0.9050. Refer to the data for Wilson Dover Inc. What is the value (in millions) of Wilson Dover's debt if its equity is viewed as an option? Which excerpt from Act I of The Importance of Being Earnest. is an understatement?A. "I am always telling that to your poor uncle, but he never seems to take much notice as far as any improvementin his ailment goes."B. "Well, really, Gwendolen, I must say that I think there are lots of other much nicer names."C. "Gwendolen, I must get christened at once mean we must get married at once. There is no time to be lost."D. "You know that I love you, and you led me to believe, Miss Fairfax, that you were not absolutely indifferent to me." 1. What form of matter is made from only one type of atom?A moleculeB compoundC element6.66%D material For Restaurant A, the owner wants to advertise a good cleanliness score to his customers. Which measure would make his score seem as good as possible, the mean or the median? median mean The order Primates includes Group of answer choices monkeys, prosimians, humans and apes. only monkeys. only humans. only apes. only monkeys, apes and humans.