What is the general form of the equation for the given circle centered at [0, 0)?

Answers

Answer 1

Answer:

x^2+y^2=r^2 is quation of circle whose centre is (0,0)


Related Questions

Find the slope of the line y= -3x+7

Answers

Answer:

If you had a line of x = 7, (or any time you have an equation where x equals a number) then you would have a vertical line. In every vertical line, the slope is undefined. In equations of lines that are in the format of y = mx + b, the slope is represented by the "m".

Answer:

-3

Explanation:

The given equation is in slope-intercept form. The format of slope-intercept is y = mx + b, where m is the slope and b is the y-intercept.

The slope is the coefficient of x.

In the equation y = -3x + 7, the slope is -3, because -3 is the coefficient of x.

Hence, the slope is -3.

I need at least two more sentences in regards with this assignment. Note the included photo. Please come up with two proper sentences following the assignments instructions. Ps. Don’t try to steal points from this or you will be reported

Answers

Answer:

A={x: x is a cat}

B={x: x likes climbing on trees}

My little cat Louis likes climbing on trees (Louis is in the intersection of the two sets)

A={x: x is a town in the USA}

B={x: x is a town in the UK}

To improve my English I'd like to go on holiday to a town in the USA, but a town in the UK would work too (the town shall be in the union of the two sets)

Tell whether ADEF and AGHI can be proven
congruent.
A.No, ADEF and AGHI aren't congruent
because they don't share a side.
B.Yes, ADEF and AGHI can be proven
congruent by HL.
C.No, there isn't enough information
because the triangles aren't right
triangles.
D.Yes, ADEF and AGHI can be proven
congruent by SSS.

Answers

Answer:

A. No, ADEF, and AGHI aren't congruent because they don't share a side.

----------------------------

hope it helps...

have a great day!!

If a student answered 77 exam questions correctly out of 100, what fraction
and what percentage of questions did the student answer incorrectly?
Choose two answers.
A. 0.77%
B.
20
100
IC
23
100
I D. 23%
O E. 77%
OF
77
100

Answers

Answer: 23%

Step-by-step explanation: 77 + 23 is 100

Answer:

77 out of 100

Step-by-step explanation:

For a fraction, it would look like 77/100,

and for percentage, 77%.

simplify 6 x + 3y /3​

Answers

Answer:

6x + y

Step-by-step explanation:

6x + 3y/3​

6x + y

Answer:

6x + y

Step-by-step explanation:

6x + 3y / 3

cancel 3y by 3

6x + y

Find each product

-4 (41)

4 (-41)

-4 (-41)

Please help me!!

Answers

-164
-164
164
Hope this helps!

Olivia rides her scooter 3/4 mile in
1/3 hour. How fast, in miles per hour,
does she ride her scooter?

Answers

Answer:

2.25 miles per hr

Answer:

2.25 miles per hour

Step-by-step explanation:

speed = distance / time

speed = [tex]\frac{3}{4} / \frac{1}{3}[/tex] (take the reciprocal of [tex]\frac{1}{3}[/tex])

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

= [tex]\frac{9}{4}[/tex] = 2.25 miles per hour

on the provided graph, plot the points where the following function crosses the x-axis and the y-axis g(x) = -5^x + 5, what does the graph look like?

Answers

Answer:

see image

Step-by-step explanation:

Express 20% as a decimal number

Answers

Answer:

.20

Step-by-step explanation:

take the two digit % and move the decimal two places to the left

Answer: 0.2

Step-by-step explanation: 20/100 is 1/5 and 1/5 means 1 divided by 5 so the answer is 0.2

PLEASE HELP!!! WILL GIVE BRAINLIEST!!!!

Answers

Finding the line of best fit is something a Machine Learning Model would do.

This particular ML model is called "Linear Regressor" or "Linear Regression Model". Look it up and there are definitely calculators for it, as it is relatively simple.

You can also, if you know how to use ML libraries and code, use Python to determine the value of [tex]b[/tex].

Hope this helps.

Simplify 2(12-18\3+4)

Answers

Question

Simplify

[tex]2(12 - \frac{18}{3} + 4)[/tex]

Answer:-

ATQ->

[tex]2(12 - ( \frac{ \cancel{18}^{ \: \: \: 6} }{3} ) + 4 \\ 2(12 - 6 + 4) \\ 2(16 - 6) \\ 2(10) \\ 20 \: \: is \: your \: ans[/tex]

Answer:

Depends on how the 3 and the 18 are positioned in the fractions on the equation.

47/3

4

Step-by-step explanation:

Step 1. To simplify this, you need to know one of the most basic sayings in math which summarizes the Order of Operations: PEMDAS

Using PEMDAS:

P- Parenthesis

E- Exponents

M- Multiply

D- Divide

A- Add

S- Subtract

P- Parenthesis: We start off by preforming the parts of the equation within the parenthesis.

The 2 on the outside of the parenthesis, will not affect anything until we deal with what is inside the parenthesis.

The next part that we do, is to go through the rest of the steps, looking for either exponents, multiplication or division, skipping over the adding and subtracting until those are done.

The next part that we see, is Division.

D- Division

We find the point of division after the 18. The value we get has to be either:

a. 3/18

b. 18/3

depending on what you were asking for.

The equation, 2(12-18\3+4) at the bolded point, states that the division should be 1/6 because of the way of the division symbol.

Now the equation should either be one of the following:

a. 2(12-1/6+4)

b. 2(12-6+4)

A-Addition

Now, we can add the 4 to the number we got before, which should get us either

A. 1/6+4

B. 6+4

which added together gets us either

A. 25/6<=>4+1/6

B. 10

S-Subtraction

Now, we subtract both parts from the value of 12 getting us:

A. 12-(4+1/6)=12-4-1/6=8-1/6=7+5/6<=>47/6

B. 12-10=2

M-multiply:

Now we move on to the 2 we put aside earlier and multiply both of the answers:

A. 2(47/6)=47/3 or 15+2/3

B. 2(2)=4

Thus the answer is either 47/3 or 4

the shorter side of a rectangle is 60% of the longer side and the perimeter of the rectangle is 96 inches. find the side lengths

Answers

Answer:length 30, width 18

Step-by-step explanation:

60% +100%=160%

160% × 2 = 320 %

96/320 = 0.3 ×100 =30 ( length)

30 × 0.6 =18 (width)

Check: (18 + 30) 2 = 96

Z varies directly as Square x and inversely as y. If z = 187 when x = 64 and y = 6, find z if and 9. (Round off your answer to the nearest hundredth.)

Answers

Answer:

Z = 50

Step-by-step explanation:

Given the following data;

Z = 187

x = 64

y = 6

Translating the word problem into an algebraic expression, we have;

Z = k√x/y

First of all, we would find the constant of proportionality, k;

187 = k√64/6

187 * 6 = k√64

1122 = 8k

k = 1122/8

k = 140.25

To find z, when x and y = 9

Z = 140.25√9/9

Z = (140.25 * 3)/9

Z = 420.75/9

Z = 46.75 ≈ 50

Note: The values in the latter part of the question isn't explicitly stated, so I assumed a value of 9 for both x and y.

An ordinary fair die is a cube with the numbers one through six on the sides represented by painted that. Imagine that such a die is rolled twice in succession and that the face values of the two goals are added together. This song is recorded as the outcome of a single trial of a random experiment. Compute the probability of each of the following events. Event a: the sun is greater than six

Answers

Answer:

ok so what i think your trying to ask is if we roll two dice that the sum will be more then 6

Two dice

Assuming that the dice are unbiased or not " loaded".

Each side has the same probability, is 1/6 =0.16667, to turn up when rolled, if the die (D) is unbiased. The probability of a side turning up on D1 when 2 dice ( D1,D2) are rolled, is independent of the side turning up in D2. So this is an independent event.

How many ways can one get a sum total of 6 if D1 &D2 are rolled at the same time?

These are the possibilities

Case 1.

D1 =1 & D2=5

Or

D1= 5 & D2=1

Case 2.

D1 =2 & D2=4

Or

D1= 4 & D2= 2

Case 3. D1=3, D2=3

P3 =0.027778

Let's say, P 1 the probability for case 1 and P2 for case 2. There are no other cases.

The final probability P and is the sum total P = P1 + P2 + P3 the probability law of mutually exclusive events.

P1= 0.02778+ 0.02778 =0.055558

P2= 0.02778+0.02778 =0.055558

Same way,

P3=0.027778, when there is only one way to get the sum 6.

So, P = 0.138894

Based on truncating at the sixth decimal place.

A visual representation with two unbiased dice and the possible cases would also give the same result and is a short cut method. I like to derive from the basics.

Hope This Helps!!!

Use the P (A + B) = P (A) x P (B) rule to find the probability of system failure. Let A and B be the events that the first alarm and second alarm, respectively, fail. Do you get the same answer you did in the earlier question?

Answers

Answer:

answer is in the pic Mark me brainliest plz

Step-by-step explanation:

Answer:

The probability of the first alarm failing is  (1 - 0.8) = 0.2

The probability of the second alarm failing is (1−0.9)=0.1.

Using the multiplication rule (since A and B are independent), the probability of failure is 0.2 * 0.1 = 0.02

Step-by-step explanation:

Which system of equations shows a solution of (0.5, -1)?
Need answers asap plzzz

Answers

Answer:

The first graph

Step-by-step explanation:

Is AABC-ADEF? If so, name which similarity postulate or theorem applies.
75
A. Similar - SSS
B. Similar - AA
0
C. Similar - SAS
D. Cannot be determined

Answers

Answer:

B. Similar - AA

Step-by-step explanation:

Two angles in ∆ABC are congruent to two corresponding angles in ∆DEF. Thus, it follows that the third pair of angles of both triangles would also be congruent.

Therefore, the three sides of ∆ABC and corresponding sides of ∆DEF will be proportional to each other.

This satisfies the AA Similarity Criterion. Therefore, ∆ABC ~ ∆DEF by AA.

find the sum and difference between the place value and face value of 5 in the number 3508 6941​

Answers

Answer:

Sum= 5000005

Difference= 4999995

Step-by-step explanation:

The place value of 5 in the number 35086941 is 5000000

The face value is 5

The sum between the face value and place value can be calculated as follows

°= 5000000+5

= 5000005

The difference can be calculated as follows

= 5000000-5

= 4999995

Write a polynomial f (x) that satisfies the given conditions. Polynomial of lowest degree with zeros of -4 (multiplicity 3), 1 (multiplicity 1), and with f(0) = 320.​

Answers

Answer:

Step-by-step explanation:

Polynomial f(x) has the following conditions: zeros of -4 (multiplicity 3), 1 (multiplicity 1), and with f(0) = 320.

The first part zeros of -4 means (x+4) and multiplicity 3 means (x+4)^3.

The second part zeros of 1 means (x-1) and multiplicity 1 means (x-1).

The third part f(0) = 320 means substituting x=0 into (x+4)^3*(x-1)*k =320

(0+4)^3*(0-1)*k = 320

-64k = 320

k = -5

Combining all three conditions, f(x)

= -5(x+4)^3*(x-1)

= -5(x^3 + 3*4*x^2 + 3*4*4*x + 4^3)(x-1)

= -5(x^4 + 12x^3 + 48x^2 + 64x - x^3 - 12x^2 - 48x - 64)

= -5(x^4 + 11x^3 + 36x^2 + 16x -64)

= -5x^3 -55x^3 - 180x^2 - 80x + 320

Answer:

Step-by-step explanation:

-4 is a root for 3 times and 1 is root for once

so (x+4)^3 * (x-1) is part of f(x)

the constant term there is 4^3*(-1)=-64

so there is a multiplier of 320/-64=-5

f(x) = -5 * (x+4)^3 * (x-1)

eight times the reciprocal
of a number equals 4 times
the reciprocal of 10.

Answers

Answer:

8(1/x) = 4(1/10)

Step-by-step explanation:

lets say the number is x

eight times the reciprocal of a number equals 4 times the reciprocal of 10

  8       *                       1//x                            =        4    *         1/10

8/x = 4/10 ,  cross multiply

4x =8*10, divide both sides by 4

x= 80/4

x= 20

A 3 phase traffic signal is designed with 2 seconds of all red per phase and phase lengths of 25 seconds, 30 seconds, and 15 seconds. The cycle length is ____ seconds.

Answers

Answer:

[tex]CL=76secs[/tex]

Step-by-step explanation:

From the question we are told that:

Traffic Phases p=3

Phase time Lengths

25 seconds, 30 seconds, and 15 seconds

Red Per Phase [tex]T=2sec[/tex]

Generally the equation for Cycle Length is mathematically given by

 [tex]CL=Phase\ Length+Red\ Per\ Phase[/tex]

 [tex]CL=(25+2)+(30+2)+(15+2)[/tex]

 [tex]CL=76secs[/tex]

Question 23 (5 points)
A triangle has two interior angles with the measurement of 68° and 54º. What's the
measurement of the third interior angle?
55°
620
58°
65°

Answers

Answer:

58°

Step-by-step explanation:

Given that,

The measure of two interior angles are 68° and 54º.

We need to find the measurement of the third interior angle.

We know that, the sum of angles of a triangle is equal to 180°. Let the angle is x. So,

x+68+54 = 180

x+122 = 180

x = 180-122

x = 58°

So, the measure of the third interior angle is equal to 58°.

HELP WILL MARK BRAINLIESG

Write an equation that represents the line,
Use exact numbers.

Answers

Answer:

3/2 + 7

Step-by-step explanation:

A.For a group of individuals, the random variable x denotes the number of credit cards per individual with the following distribution. x: 0 1 2 3 4 5 P(x): .27 .28 .20 .15 .08 .02 a. find the mean, variance and standard deviation of x b. find the probability that a randomly selected individual holds at least 1 card.

Answers

Answer:

1.55

2.66

1.631

Step-by-step explanation:

Given :

x: 0 1 2 3 4 5

P(x): .27 .28 .20 .15 .08 .02

The expected mean, E(X) = Σ(x*p(x))

E(X) = (0*0.27)+(1*0.28)+(2*0.20)+(3*0.15)+(4*0.08)+(5*0.02)

E(X) = 1.55

The expected variance :

Σx²*p(x) - E(X)

(0^2*0.27)+(1^2*0.28)+(2^2*0.20)+(3^2*0.15)+(4^2*0.08)+(5^2*0.02) - 1.55

4.21 - 1.55 = 2.66

The standard deviation :

√variance = √2.66 = 1.631

You are installing new carpeting in a family room. The room is rectangular with dimensions 2012feet × 1318feet . You intend to install baseboards around the entire perimeter of the room except for a 312 -foot opening into the kitchen. How many linear feet of board must you purchase?

Answers

Answer: 1. When you estimate, it is not an exact measurement. 3ft 8 in gets rounded to 4ft and 12 ft 3 in rounds to 12ft. now find the perimeter. P=2l+2w P= 2*12 +2*4 P=32feet

2. 3ft 8in = 3 8/12 or reduced to 3 2/3  12ft 3in = 12 3/12 or reduced to 12 1/4   The fractional part is referring to a fraction of a foot.

3. The perimeter of the room is P=2l+2w or P=2(12 1/4) + 2(3 2/3) p=24 1/2 + 7 1/3  P= 31 5/6 feet

4. The estimate and the actual are very close. They are 1/6 of a foot apart.

5a. Total baseboard 31 5/6ft - 2 1/4 ft = 29 7/12 feet needed.

5b. Take the total and divide it by 8ft  = 29 7/12 divided by 8= 3.7  You are not buying a fraction of a board so you would need 4 boards.

what can you infer about angles w and z based on the information in the other triangles?

Answers

Answer:

They are supplementary and their sum is 180°

w = 45 + 60 or w = 105

z = 180 - 105 or z = 75

In the diagram, the measure of angle 3 is 76°. A transversal intersects 2 lines to form 8 angles. Clockwise from top left, the angles are 1, 2, 3, 4; 5, 6, 7, 8. What is the measure of angle 4?

Answers

Answer:

104

Step-by-step explanation:

180-76=104

Answer:

104

Step-by-step explanation:

heres my proof. have a nice day :)

Industrial Designs has been awarded a contract to design a label for a new wine produced by Lake View Winery. The company estimates that 110 hours will be required to complete the project. The firm's three graphic designers available for assignment to this project are Lisa, a senior designer and team leader; David, a senior designer; and Sarah, a junior designer. Because Lisa has worked on several projects for Lake View Winery, management specified that Lisa must be assigned at least 40% of the total number of hours assigned to the two senior designers. To provide label designing experience for Sarah, the junior designer must be assigned at least 15% of the total project time. However, the number of hours assigned to Sarah must not exceed 25% of the total number of hours assigned to the two senior designers. Due to other project commitments, Lisa has a maximum of 50 hours available to work on this project. Hourly wage rates are $30 for Lisa, $25 for David, and $18 for Sarah. (a) Formulate a linear program that can be used to determine the number of hours each graphic designer should be assigned to the project to minimize total cost (in dollars). (Assume L is the number of hours Lisa is assigned to the project, D is the number of hours David is assigned to the project, and S is the number of hours Sarah is assigned to the project.)

Answers

Answer:

z (min)  =  2079

L = 26     D =  39.6    S  =  16.5

Step-by-step explanation:

L  numbers of hours assigned to Lisa

D numbers of hours assigned to David

S numbers of hours assigned to Sara

Objective Function to minimize:

z = 30*L  +  25*D  +  18*S

Constraints:

Total time available

L  +  D  +  S  ≤ 110

Lisa experience

L  ≥  0.4 *  ( L + D )  then    L ≥ 0.4*L  +  0.4*D

0.6*L - 0.4*D ≥ 0

To provide designing experience to Sara

S ≥ 0.15*110        then     S ≥ 16.5

Time for Sara

S  ≤ 0.25 * ( L + D )     S ≤ 0.25*L  +  0.25*D   or    -0.25*L - 0.25*D + S ≤0

Availability of Lisa

L ≤ 50

The Model is:

z = 30*L  +  25*D  +  18*S  to minimize

Subject to:

L  +  D  +  S  ≤ 110

0.6*L - 0.4*D ≥ 0

S ≥  16.5

-0.25*L - 0.25*D + S ≤0

L ≤ 50

L ≥   0  ;   D  ≥  0  , S  ≥  0

After  6  iterations  optimal ( minimum ) solution is:

z (min)  =  2079

L = 26     D =  39.6    S  =  16.5

The formula that can be used to determine the number of hours each graphic designer should be assigned to the project to minimize the total cost is z = 30L + 25D + 18S and the minimum z is 2079.

Given :

The company estimates that 110 hours will be required to complete the project.Lisa has worked on several projects for Lake View Winery, management specified that Lisa must be assigned at least 40% of the total number of hours assigned to the two senior designers.To provide a label designing experience for Sarah, the junior designer must be assigned at least 15% of the total project time.The number of hours assigned to Sarah must not exceed 25% of the total number of hours assigned to the two senior designers.Due to other project commitments, Lisa has a maximum of 50 hours available to work on this project. Hourly wage rates are $30 for Lisa, $25 for David, and $18 for Sarah.

The formula that can be used to determine the number of hours each graphic designer should be assigned to the project to minimize the total cost is given by:

z = 30L + 25D + 18S

The constraints are given by:

1) L + D + S [tex]\leq[/tex] 110

2) L [tex]\geq[/tex] 0.4(L + D)  

   L [tex]\geq[/tex] 0.4L + 0.4D

   0.6L - 0.4D [tex]\geq[/tex] 0

3) S [tex]\geq[/tex] 0.15(110)

   S [tex]\geq[/tex] 16.5

   

Now, to minimize 'z' then use:

[tex]\rm -0.25L-0.25D+S\leq 0[/tex]

L [tex]\leq[/tex] 50

L [tex]\geq[/tex] 0, D [tex]\geq[/tex] 0, S [tex]\geq[/tex] 0

Now, the minimum z is given by:

z = 2079

L = 26,  D = 39.6,  S = 16.5

For more information, refer to the link given below:

https://brainly.com/question/23017717

1. You measure 24 textbooks' weights, and find they have a mean weight of 75 ounces. Assume the population standard deviation is 3.3 ounces. Based on this, construct a 90% confidence interval for the true population mean textbook weight.
2. You measure 37 backpacks' weights, and find they have a mean weight of 45 ounces. Assume the population standard deviation is 10.1 ounces. Based on this, construct a 95% confidence interval for the true population mean backpack weight.
3. You measure 30 watermelons' weights, and find they have a mean weight of 37 ounces. Assume the population standard deviation is 4.1 ounces. Based on this, what is the maximal margin of error associated with a 90% confidence interval for the true population mean watermelon weight.
4. A student was asked to find a 99% confidence interval for widget width using data from a random sample of size n = 16. Which of the following is a correct interpretation of the interval 11.8 < μ < 20.4?
A. There is a 99% chance that the mean of a sample of 16 widgets will be between 11.8 and 20.4.
B. The mean width of all widgets is between 11.8 and 20.4, 99% of the time. We know this is true because the mean of our sample is between 11.8 and 20.4.
C. With 99% confidence, the mean width of all widgets is between 11.8 and 20.4.
D. With 99% confidence, the mean width of a randomly selected widget will be between 11.8 and 20.4.
E. There is a 99% chance that the mean of the population is between 11.8 and 20.4.
5. For a confidence level of 90% with a sample size of 23, find the critical t value.

Answers

Answer:

(73.845 ; 76.155) ;

(41.633 ; 48.367) ;

1.273 ;

C. With 99% confidence, the mean width of all widgets is between 11.8 and 20.4. ;

1.717

Step-by-step explanation:

1.)

Given :

Mean, xbar = 75

Sample size, n = 24

Sample standard deviation, s = 3.3

α = 90%

Confidence interval = mean ± margin of error

Margin of Error = Tcritical * s/√n

Tcritical at 90% ; df = 24 - 1 = 23

Tcritical = 1.714

Margin of Error = 1.714 * 3.3/√24 = 1.155

Confidence interval = 75 ± 1.155

Confidence interval = (73.845 ; 76.155)

2.)

Given :

Mean, xbar = 45

Sample size, n = 37

Sample standard deviation, s = 10.1

α = 95%

Confidence interval = mean ± margin of error

Margin of Error = Tcritical * s/√n

Tcritical at 95% ; df = 37 - 1 = 36

Tcritical = 2.028

Margin of Error = 2.028 * 10.1/√37 = 3.367

Confidence interval = 45 ± 3.367

Confidence interval = (41.633 ; 48.367)

3.)

Given :

Mean, xbar = 37

Sample size, n = 30

Sample standard deviation, s = 4.1

α = 90%

Margin of Error = Tcritical * s/√n

Tcritical at 90% ; df = 30 - 1 = 29

Tcritical = 1.700

Margin of Error = 1.700 * 4.1/√30 = 1.273

5.)

Sample size, n = 23

Confidence level, = 90%

df = n - 1 ; 23 - 1 = 22

Tcritical(0.05, 22) = 1.717

PLEASE HELP ME ASAP GIVING 10+ POINTS

The actual height of the building shown in the model is 150 feet What is the actual width of the building shown in the model?​

Answers

Answer:

60 ft

Step-by-step explanation:

The answer has to be in feet units

Now that we know the height is 5 cm equivalent to 150 feet, what is the width of the building in feet units

5 cm = 150 ft

Rule: multiply cm by 30 to get the ft

2 cm = ?

2 cm × 30 = 60 ft

2 cm = 60 ft

Other Questions
Triangle PQR has been dilated to form triangle P'Q'R'. What is the least amount of information needed to determine if the two triangles are similar Indicate the method you would use to prove the triangles congruent. If nomethod applies, enter "none."O SSSk O SASO ASA None how do you discribe any opposite in a parallelogram? A water-balloon launcher with mass 2 kg fires a 0.75 kg balloon with avelocity of 14 m/s to the west. What is the recoil velocity of the launcher?What is the answer Which type of retailer offers a wide choice of products and high-quality service? The following integral requires a preliminary step such as long division or a change of variables before using the method of partial fractions. Evaluate the following integral. x^4 + 7/x^3 + 2x dx Find the partial fraction decomposition of the integrand. x^4 + 7/x^3 + 2x dx Why is there different time zones in different parts of the world? What's the time zone in your country? answer plz pix inside plz find both answers The reaction of an alkene and water in the presence of an acid catalyst to produce an alcohol is called ________. Brian runs 7 miles in 50 minutes. At the same rate, how many miles would he run in 75 minutes? Find the area of the triangle with vertices A(-3,2), B(1,-2), and c(1,3) suppose you are an insurance agent your neighbour has not insured yet how do you convince him/her to ensure him self/her self and minimise the risk Tom's age is divisible by 7. If Tom's age is divided by 3 or 4, the remainder will be one. Tom is less than 100 years old. What is Tom's age? Please help me answer question 32. Please explain your answer too What is the key difference in why the Fourth Amendment does not apply to private security guards as it does to law enforcement agencies?the word authoritythe word govemmentalthe word federalthe word unlawful match the energy source in column 1 to its characteristics in column 2 45 people were surveyed. 33 people like hamburgers, 18 people like hamburgers and hot dogs. How many people like hot dogs? What is the value of x?Enter your answer, as a decimal, in the box. LAB: Count multiples (EO) Complete a program that creates an object of the Count class, takes three integers as input: low, high, and x, and then calls the countMultiples() method. The countMultiples() method then returns the number of multiples of x between low and high inclusively. Ex: If the input is: 1 10 2 countMutiples() returns and the program output is: 5 Hint: Use the % operator to determine if a number is a multiple of x. Use a for loop to test each number between low and high. Note: Your program must define the method: public int countMultiples(int low, int high, int x) Count.java 1 import java.util.Scanner; 2 3 public class Count { 4 5 public int countMultiples(int low, int high, int x) { 6 /* Type your code here. */ 7 8 } 9 10 public static void main(String[] args) { 11 Scanner scnr = new Scanner(System.in); 12 /* Type your code here. */ 13 } 14) 15 please answerShah Jahan demolished the Hugli fort of the Portuguese owing to the complaint of the regarding the misbehavior of the Portuguese.