An ant starts at (0, 0), and only makes moves of length 1 in the positive x directions or the positive y direction. How many paths are there from the ant that end at (3, 3) but never pass through (2, 3)

Answers

Answer 1

Answer:

The number of paths that are there from the ant that end at (3, 3) but never pass through (2, 3) is 4.

Step-by-step explanation:

The possible pathways are as follows:

(0, 0) → (1, 0) → (2, 0) → (3, 0) → (3, 1) → (3, 2) → (3, 3)

(0, 0) → (1, 0) → (2, 0) → (2, 1) → (2, 2) → (3, 2) → (3, 3)

(0, 0) → (1, 0) → (1, 1) → (1, 2) → (2, 2) → (3, 2) → (3, 3)

(0, 0) → (0, 1) → (0, 2) → (1, 2) → (2, 2) → (3, 2) → (3, 3)

Thus, the number of paths that are there from the ant that end at (3, 3) but never pass through (2, 3) is 4.


Related Questions

I need help, please help me

Answers

Answer:

See below.

Step-by-step explanation:

The perimeter of a rectangle is simply the distance around the rectangle. The distance will be its two lengths plus the two widths. In other words:

[tex]P=2l+2w[/tex]

We want to solve for l. Therefore:

[tex]P=2l+2w\\2l+2w=P\\2l=P-2w\\l=(P-2w)/2[/tex]

Jika suku pertama suatu barisan geometri = 16 dan suku ketiga = 36, maka besar suku kelima adalah …..

Answers

Answer:

Suku yang ke Kelima adalah 56

Kerana anda hanya perlu tambah sepuluh sahaja seperti:

Suku pertama:16

Suku kedua:26

Suku ketiga:36

Suku keempat:46

Suku kelima:56

Harap jawapan tersebut adalah betul and Mark me as BRAINLIEST if the answer is right ✨

When statistically analyzing data, a researcher would not look to study which of the
following statistics?

A. central tendencies of the data
B. variability in the data
C. spread of the data
D. time it took to collect the data

Answers

Answer:

D. The time it took to collect the data.

–6 < 2x – 4 < 4 solve the inequality

Answers

Answer:

The answer is

[tex] - 1 < x < 4[/tex]

Step-by-step explanation:

[tex] - 6 < 2x - 4 < 4[/tex]

First of all add 4 to both sides of the inequality to make 2x stand alone

That's

[tex] - 6 + 4 < 2x - 4 + 4 < 4 + 4 \\ - 2 < 2x < 8[/tex]

Divide both sides of the inequality by 2 inorder to find x

That's

[tex] \frac{ - 2}{2} < \frac{2x}{2} < \frac{8}{2} [/tex]

We have the final answer as

[tex] - 1 < x < 4[/tex]

Hope this helps you

Given g(x)=2x+1 and f(x)=x-7 find (g•f) (x)

Answers

Step-by-step explanation:

(g•f(x))

Where ever you see x in g(x), you put f(x)

2(x-7)+1

[expanding]

2x-14+1

2x-13

I'm not 100% sure

if 3 divide a profit of rs 72,000 at end of the year according to the ratio of 2:3:4 of their investment how much did they receive ​

Answers

Step-by-step explanation:

Hey, there!!

See explanation in picture.

They receive 16000, 24000 and 32000 as per the ratios 2:3:4.

let x be a common factor,

Then,

2x+3x+4x =72000

sum them,

9x= 72000

x = 72000/9

=8000

Therefore, x= Rs. 8000.

2x= 8000×2 = Rs.16000

3x= 3×8000= Rs.24000

4x= 4×8000= Rs. 32000

You just need to put common factor on the ratios and then sum up them to get the value.

Hope it helps..

If 3x+2=7(3-x), find the value of 26-x-4

Answers

Answer:

20.1

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, distribute 7 to all terms within the parenthesis:

7(3 - x) = (7 * 3) + (7 * -x) = 21 + -7x = 21 - 7x

3x + 2 = 21 - 7x

Isolate the variable, x. Subtract 2 and add 7x to both sides:

3x (+7x) + 2 (-2) = 21 (-2) - 7x (+7x)

3x + 7x = 21 - 2

10x = 19

Divide 10 from both sides:

(10x)/10 = (19)/10

x = 19/10 = 1.9

Plug in 1.9 for x in the expression given:

26 - x - 4 = 26 - 1.9 - 4

26 - 1.9 = 24.1

24.1 - 4 = 20.1

20.1 is your value.

~

20 POINTS ! An international company has 17,800 employees in one country. If this represents 22.1% of the company's employees, how many employees does it have in total? Round your answer to the nearest whole number. Thankyou!

Answers

Answer:

80,543 employees total

Step-by-step explanation:

22.1% of total = 17,800 employees

0.221 of x = 17800

0.221 • x = 17800

x = 17800 / 0.221

x = 80542.98643

x ≈ 80543 employees total

please help me on this

Answers

The answer is D since if a variable x was +4, then it is inverses to -4 and it would be reflected upon the vertical line, which happens to be the y axis

Answer:

reflection across the y- axis

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y )

Thus

The given transformation rule (x, y ) → ( - x, y )

Represents a reflection in the y - axis

Lin's uncle is opening a bakery. On the bakery's grand opening day, he plans to give away prizes to the first 50 customers that enter the shop. Every fifth customer will get a free bagel. Every ninth customer will get a free blueberry muffin. Every 12th customer will get a free slice of carrot cake. 1. Diego is waiting in line and is the 23rd customer. He thinks that he should get farther back in line in order to get a prize. Is he right? If so, how far back should he go to get at least one prize? Explain your reasoning. 2. Jada is the 36th customer. a. Will she get a prize? If so, what prize will she get? b. Is it possible for her to get more than one prize? How do you know? Explain your reasoning. 3. How many prizes total will Lin's uncle give away? Explain your reasoning.

Answers

Answer:

1. Diego has to move 2 places back to be 25th .

2.a. Jade is right. She'll get 2 prizes .

2.b.The blueberry muffin and the carrot cake

Step-by-step explanation:

[Every fifth customer will get a free bagel.]`-------

This means that anyone on the line who is a multiple of 5 will get a free bagel. Example-  5th customer,10th customer, or the 15th customer and so on..

[Every ninth customer will get a free blueberry muffin]--------

This means that anyone on line who is a multiple of 9 will get a free blueberry muffin. Example- the 9th customer, 18th customer etc...

[Every 12th customer will get a free slice of carrot cake. ]----------

This means that anyone on line who is a multiple of 12 will get a free carrot cake. Example- the 12th customer, 24th customer, 36th customer etc...

THEREFORE, (ANSWERS TO THE QUESTION)

1. Yes, he is right  in order to get the prize. To get at least one prize, he should go two places behind and become the 25th customer {since he s a multiple of 5}.He will get a free bagel.

2.a. Yes, Jade will get a prize. She can get a free blueberry muffin and a free slice of carrot cake .

2.b. Yes, it is possible for Jade to win more than one prize because she is the 36th customer and 36 is a multiple of both 9 and 12

[tex]\\[/tex]

what is 1944 divided by 2/3

Answers

1944 divided by 2/3 is 2916

Answer:

2916

Step-by-step explanation:

1944  ÷  (2/3)  = 2916

Parallel lines are coplanar. What characteristics of these geometric figures create the different requirements?

Answers

Answer:

Parallel lines never intersect, but they must be in the same plane. The definition does not require the undefined term point, but it does require plane. Because they intersect, perpendicular lines must be coplanar; consequently, plane is not required in the definition.

Hope it helped u if yes mark me BRAINLIEST!

Tysm!

A student solves the problem to the left as shown. Which statements describe the solution? Check all of the boxes that apply​

Answers

Answer:

The stated solution is correct (lengths of 16 feet and 8 feet).

Based on the way the variable is defined, the equation should be x + 2x = 24.

The way the variable is defined, and because x=16, the longer piece of rope would be 32 feet, which is not possible.

Step-by-step explanation:

Answer: a, b & d !

Step-by-step explanation:

the sum of n and 7 *

Answers

Answer:

n+7

Step-by-step explanation:

Sum means add, so it's just n added to 7:

n+7 :)

Answer:

n+7 is the answer or u can put it in parenthesis (n+7)

Step-by-step explanation:

What is the domain of the function shown in the
mapping?
O x x= -5,-3,1,2,6}
O fyy=-9,-6,0, 2, 4)
O(|x=-9,-6.-5.-3, 0, 1, 2, 4, 6)
O fyly = -9,-6, -5,-3,0,1.2, 4, 6)

Answers

Answer:

{x | x = -5, -3, 1, 2, 6}

Step-by-step explanation:

In a function, the domain values are all the possible values of input in a function. In order words, they are the x-values in a function, which are also referred to as independent variable.

In the mapping of the function above, all input values make up the domain of the function.

Thus, the domain is:

{x | x = -5, -3, 1, 2, 6}

Diego and Max are buying soft drinks for a neighborhood picnic. Each person is expected to drink one can of soda. Diego says that if you multiply the unit price for a can of soda by the number of people attending the picnic, you will be able to determine the total cost of the soda. Max says that if you divide the cost of a 12-pack of soda by the number of sodas, you will determine the total cost of the sodas.

Which choices best illustrates who is correct and why?

Max is incorrect because he calculated the cost of one can of soda


Diego is incorrect because he calculated the price of one can of soda


Max is correct because the total cost divided by the number of sodas gives you the total cost of the sodas


Diego is correct because the price of one can of soda multiplied by the number of sodas needed will give you the total cost of the soda.

Answers

Answer:

D). Diego is correct because the price of one can of soda multiplied by the number of sodas needed will give you the total cost of the soda.

Step-by-step explanation:

Since every person is expected to drink one can of soda:

Let the price of each can of soda = p

and the total number of people present at the picnic = n

∵ Total price = p(the price of each soda can) * n(number of people)

Thus, Diego correctly asserts that if he multiplies the 'unit price for a can of soda by the number of people attending the picnic', he would be able to deduce the total cost of soda. Hence, Max is incorrect and option D is the correct answer.

please answer!!! click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Solve each equation. 5x^2 + 500 = 844.45

Answers

Answer:

5[tex]x^{2}[/tex] = 344.45

[tex]x^{2}[/tex] = 68.89

x = ± [tex]\sqrt{68.89}[/tex]

x = 8.3, −8.3

According to the bar graph, how many more pages did the winner of the contest read than the loser? Show your work or explain how you got your answer.

Answers

Well look at the question.

It is asking you the total difference between the winners score to their opponents score in the contest.

Going by how the graph looks, approximately:

Javi's scores are 10, 20, 60, 20, and 15.

MeriAnne's scores are approximately 20, 30, 40, 20, and 10.

Add all those numbers up individually for each contestant.

Javi has a total score of 125.

Meri has a total score of 120.

Subtract the total scores from each other, as so:

125 - 120 = 5.

Javi read 5 more pages than Meri.

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Identify the mapping diagram that represents the relationship and determine whether the relation is a function. {(–2, –4), (–1, –4), (3, –4), (6, –4)}

Answers

Answer:

PIC 1: Option 2. this relation is a function

PIC 2. Option 1. this relation is not a function

Step-by-step explanation:

To be a function, the domain (x value) can only have one range (y value). But one range can have multiple domain

PIC 1

Function {(-2, -4) (-1, -4) (3, -4) (6, -4)}

This relation is a function

EXPLANATION: each domain only have one range

PIC 2

Function {(-4, -2) (-4, -1) (-4, 3) (-4, 6)}

This relation is not a function

EXPLANATION: each domain has multiple range.

Hope this helps!! :)

Please let me know if you have any question or need any further explanation

Jones planted s flowers. He planted fewer flowers than Kerry Kerry planted 50 flowers. Write
the expression that shows how many flowers Jones planted.

Answers

Answer:

s < 50

Step-by-step explanation:

s must be less than 50

s < 50

find the L.C.M of 154 and 49.

Answers

Answer:

LCM=1078

Step-by-step explanation:

49=7×7

154=7×11×2

LCM=7×7×11×2

=1078

Answer:

[tex] \boxed{ \huge{ \bold{ \boxed{ \sf{1078}}}}}[/tex]

Step-by-step explanation:

The L.C.M of any numbers can be obtained by using two methods and they are :

Prime factorization methodDivision method

I am going to find the L.C.M of 154 and 49 by using these two methods :

1. Prime factorization method:

[tex] \sf{154 \: and \: 49}[/tex]

First of all , find the prime factors of each numbers.

[tex] \sf{154 =2 \times 7 \times 11}[/tex]

[tex] \sf{49 \: = \: 7 \times 7}[/tex]

Take out common prime factor i.e 7

Thenafter, also take out the other remaining prime factors : 2 , 11 and 7

L.C.M = Common factors × Remaining factors

= 7 × 2 × 11 × 7

= 1078

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

Next method :

2. Division method

[tex] \sf{154 \: and \: 49}[/tex]

Steps :

⇒ Arranging the given numbers in horizontal position.

⇒Thus, arranged numbers should be divided by a prime number. During this process that prime numbers should divide any two or more given numbers.

⇒Repeat the process till you get prime number as quotient for each number.

⇒The product of all prime factors and last quotients is L.C.M

( see attached picture )

Hope I helped!

Best regards!!

find the length of a line segment whose endpoints are (-2,3) and (6,3)

Answers

The length would be eight bc -1 -2 0 1 2 3 4 5 6

Answer:

8

Step-by-step explanation:

Since we want to find the length of a line segment, we can use the distance formula.

[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1} )^2 }[/tex]

(x₁, y₁) and (x₂, y₂) are the points given.

The points we are given are: (-2,3) and (6,3). Therefore,

[tex]\\x_{1} =-2\\y_{1}=3 \\x_{2} = 6\\y_{2} =3[/tex]

Plug each value into the formula.

[tex]d=\sqrt{{(6--2})^2+(3-3 )^2} }[/tex]

Evaluate inside of the parentheses first.

[tex]d=\sqrt{(6+2)^2+(0)^2}[/tex]

[tex]d= \sqrt{(8)^2+(0)^2 }[/tex]

Evaluate the exponents.

8²= 8*8=64

[tex]d=\sqrt{64+(0)^2}[/tex]

0²= 0*0= 0

[tex]d=\sqrt{64+0}[/tex]

Add 64 and 0.

[tex]d=\sqrt{64}[/tex]

Take the square root of 64.

[tex]d= 8[/tex]

The length of the line segment is 8

THIS NEEDS TO GET DONE FAST! I DONT KNOW HOW TO SOLVE IT!

Answers

Answer:

8.5

Step-by-step explanation: it might be wrong btw, but i think its right. the question isnt worded very well

find the perimeter of an isosceles triangle with side lengths of 5+x, 5+x, and xy. Write in simplest form.

Answers

Answer: perimeter = 10+2x+xy

To get the perimeter, you add up all the outer sides

side1+side2+side3 = (5+x)+(5+x)+(xy) = 10+2x+xy

The like terms 5 and 5 add to 10. The other pair of like terms x and x add to 2x. There isn't anything to pair with xy, so we leave it as is.

Please help! Offering 15 points with brainiest

Answers

Answer:

1/1296

Step-by-step explanation:

P( 5) = number of 5's over total numbers possible

       = 1/6

P( 5,5,5,5) = 1/6 * 1/6 * 1/6* 1/6

                 =1/1296

Answer:

[tex]\Large \boxed{\frac{1}{1296} }[/tex]

Step-by-step explanation:

Outcomes of a dice: 1, 2, 3, 4, 5, 6

There are 6 total outcomes.

The probability of landing a 5 on a dice is 1/6.

P(landing a 5 four times) = 1/6 × 1/6 × 1/6 × 1/6 = 1/1296

what is the interval which consists of all w that satisfy neither $-2(6+2w) is less than or equal to -16$ nor $-3w is greater than or equal to 18$ ?

Answers

Answer:57639962993

Step-by-step explanation:398745399883

Momo has $4.05 in dimes and quarters. If she has 5 more quarters than dimes,
how many of each does she have? Show your work and write a complete
sentence answer

Answers

Answers:

8 dimes13 quarters

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

Work Shown:

$4.05 = 405 cents

d = number of dimes

q = number of quarters

q = d+5 since she has 5 more quarters compared to dimes

10d = value in cents of all the dimes

25q = value in cents of all the quarters

10d+25q = total value in cents = 405

10d+25q = 405

10d+25(d+5) = 405

10d+25d+125 = 405

35d+125 = 405

35d = 405-125

35d = 280

d = 280/35

d = 8

She has 8 dimes

q = d+5 = 8+5 = 13

She also has 13 quarters

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

1 dime = 10 cents

8 dimes = 80 cents (multiply both sides by 80)

1 quarter = 25 cents

13 quarters = 325 cents (multiply both sides by 13)

8 dimes + 13 quarters = 80 cents + 325 cents = 405 cents

This converts back to $4.05, which confirms our answers.

Divide 41 by 15. Give your answer as a recurring decimal ​

Answers

Answer:

2.733333....

Step-by-step explanation:

In a certain Algebra 2 class of 21 students, 11 of them play basketball and 6 of them play baseball. There are 6 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?

Answers

Answer:

Step-by-step explanation:

total number of students=21

students play neither sport=6

students who play at least one sport=21-6=15

Let play basketball=X

and play baseball=Y

n(XUY)=n(X)+n(Y)-n(X∩Y)

15=11+6-n(X∩Y)

n(X∩Y)=17-15=2

reqd. probability=2/21

a) What is a tessellation? Give two everyday examples of tessellations (that do not extend
indefinitely). You may insert images or give a verbal description. (5 points)
please help

Answers

The tile in a bathroom or kitchen is one example of tessellation. It's where you place geometric shapes together to fill a space. In this case, we have squares placed together to fill the space of the wall or floor. There cannot be any gaps or overlaps.

Another example would be bricks as this is composed of rectangles placed together without any gaps or overlaps. There are many other examples as well usually done as floor or wall patterns of some kind. Some tessellations involve using more than one shape (eg: one pattern uses squares and equilateral triangles placed together).

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