A 2×2 square is divided into four 1×1 squares. Each of the small squares is to be painted either green or red. In how many different ways can the painting be accomplished so that no green square shares its top or right side with any red square? There may be as few as zero or as many as four small green squares.

Answers

Answer 1

Answer:

2

Step-by-step explanation:

Let's denote all the four square by 1, 2, 3, and 4 as shown in the figure.

Each of the small squares is to be painted either green or red

The total numbers of the possible cases are:

(1) The number of cases if there is no green color square = 1 (all red)

(2) The number of cases, if there is 1 green color square = 4 as either of 4 small squares can be green (1G,2G,3G,4G).

(3) The number of cases if there is 2 green color square = 2+4=6 as

for diagonal positions: 2 which are (1G,3G), (2G,4G).for non-diagonal positions:4 which are (1G,2G), (1G,4G), (2G,3G), (3G,4G)

(4) The number of cases, if there is 3 green color square = The number of cases, if there is 1 red color square= 4 as either of 4 small squares can be red (1R,2R,3R,4R).

(5) The number of cases if there is 4 green color square = 1 (all green)

So, the total numbers of possible cases = 1+4+6+4+1=16.

Now, possible positions for which no green square shares its top or right side with any red square are the diagonal positions as mentioned in point (3), i.e (1G,3G), (2G,4G)

So, the total numbers of favorable cases = 2

Hence the total number of different ways for painting each of the small squares so that no green square shares its top or right side with any red square is 2.

A 22 Square Is Divided Into Four 11 Squares. Each Of The Small Squares Is To Be Painted Either Green
Answer 2

I listed possibilities:

1 Green Square:

RG

RR

2 Green Squares:

RG

RG

GG

RR

3 Green Squares

GG

RG

4 Green Squares

GG

GG

0 Green Squares

RR

RR


Related Questions

Find the value of x. images attached

Answers

Answer:

The answer is option A

Step-by-step explanation:

Since it's a right angled triangle we can use trigonometric ratios to find the value of x

To find the value of x we use tan

We have

[tex] \tan(26) = \frac{42}{x} \\ x \tan(26) = 42 \\ x = \frac{42}{ \tan(26) } \\ x = 86.1127613...[/tex]

We have the final answer as

86.113°

Hope this helps you

I think it’s A (I hope I’m not wrong)

rachelle can walk 2.5 miles in 40 minutes. at this rate how far
can she walk in an hour

Answers

Answer:

She could walk 3.75 miles in an hour.

Jonathan forgot his math homework on the kitchen table and left for school without it. He biked at the speed of 15 mph. His mother saw the homework when he was already 1 mile from home, and started chasing him. She drove at a speed of 25 mph and caught him at the school entrance. How far is the school from Jonathan's home?

Answers

Answer:

The school is 1.5 miles away from Jonathan's home

Step-by-step explanation:

Let D be the distance remaining after 1  mile

We are given that He biked at the speed of 15 mph. His mother saw the homework when he was already 1 mile from home, and started chasing him. She drove at a speed of 25 mph and caught him at the school entrance.

So, Time taken to cover D distance by Son is equal to the time taken by mother from home to school entrance(D+1) since she caught him at school entrance

Speed of Jonathan bike = 15 mph

Speed of Mother's bike = 25 mph

So, [tex]\frac{D}{15}=\frac{D+1}{25}[/tex]

25D=15D+15

10D=15

D=1.5

So, the school is 1.5 miles away from Jonathan's home

1st shape has a 4 2nd shape has a 6 pls help-T T
I don’t know how to do this-

Answers

Answer:

2.5

Step-by-step explanation:

because you can tell by the numbers and how close they are then u have to divide

What happends if you get a brainliest?

Answers

i’m pretty sure you get more points

Answer:

it is needed to reach some ranks

Step-by-step explanation:

can I get brain liest?

Evaluate 2√2/(√2-√3)

Answers

Answer:
4-2√6
Explanation:

Convert to a decimal rounded to the nearest hundredth: 8/11

Answers

Answer:

.72 and on going

Step-by-step explanation:

Given h(x)=-3x-2,solve for x when h(x)=1​

Answers

Answer:

-5

Step-by-step explanation:

The value of x for the given function h(x)=-3x-2 such that h(x) = 1 will be -1.

What is a function?

A certain kind of relationship called a function binds inputs to essentially one output.

In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.

As per the given funciton,h(x) = -3x - 2

For h(x) = 1

1 = -3x - 2

1 + 2 = -3x

3 = -3x

x = -1

Hence "The value of x for the given function h(x)=-3x-2 such that h(x) = 1 will be -1".

For more about the function,

brainly.com/question/23712366

#SPJ2

Q3. Kylie sits two maths test. She scores 19/25 in the first one, and 16/20 in the second one.
Which test has she done better in?

Answers

Answer: Kylie did better in the second one than she did in the first one

Step-by-step explanation:

If you do 19 divided by 25 you will get 0.76 so she got a 76% on the first test. Then if you do 16 divided by 20 you will get 0.8 so she got a 80% on the second test.

What is the domain and range for the following function? f(x)=|x-2|+3

Answers

Domain: All real numbers. Inequality Notation: -infinity<x<infinity, Interval notation: (-infinity,infinity).

_______

Range: All real numbers greater than or equal to 3. Inequality notation: x ≥ 3, Interval Notation: [3,infinity).

g(t) = -4t + 2; Find g(6)

Answers

Answer:

g(6)=-22

Step-by-step explanation:

g(6)=-4(6)+2

g(6)=-24+2

g(6)=-22

please answer the question hurry up get 25 point ​

Answers

Answer:

[tex]x = - 1.[/tex]

Step-by-step explanation:

[tex] {2}^{x} = \frac{1}{2} \\ {2}^{x} = {2}^{ - 1} \\ x = - 1.[/tex]

♨Rage♨

Step-by-step explanation:

Hey there!

Given;

[tex] {2}^{x} = \frac{1}{2} [/tex]

We know that (1/2) can be written as 2^-1. So, it will be;

[tex] {2}^{x} = {2}^{ - 1} [/tex]

Looking on both sides we find that both have same base. So,

x = -1

(Note: While solving the exponential equation you must make base same by simplifying them and then equate the power)

Hope it helps...

Look at the photo above and Answer the following
First one will get brainliest
Points set to 15 pls answer this as fast as possible grade 9 maths thank you

Answers

[tex]6 \times ( - 4) \\\blue{ = - 24}[/tex]

[tex] \\[/tex]

[tex] \frac{ - 20}{ - 5} \\ = \frac{20}{5} \\ \blue{= 4}[/tex]

[tex] \\[/tex]

[tex] \frac{ - 60}{6} \\\blue{ = - 10}[/tex]

[tex] \\[/tex]

[tex] - 2 \times 9 \\ \blue{ = - 18}[/tex]

[tex] \\[/tex]

[tex] \frac{20}{ - 4} \\ \blue{ = - 5}[/tex]

[tex] \\[/tex]

[tex] - 2 \times - 5 \\ \blue{= + 10}[/tex]

[tex] \\[/tex]

[tex] \frac{ - 49}{7} \\ \blue{ = - 7}[/tex]

[tex] \\[/tex]

[tex] - 10 \times - 7 \\ \blue{= + 70}[/tex]

[tex] \\[/tex]

[tex] \frac{36}{ - 6} \\ \blue{= - 6}[/tex]

[tex] \\[/tex]

[tex] - 10 \times 8 \\ \blue{ = - 80}[/tex]

[tex] \\[/tex]

[tex](2 \times - 3) - ( - 7\times - 10) \\ = - 6 - ( + 70) \\ = - 6 - 70 \\ \blue{ = - 76}[/tex]

-1/4 multiplied by 1 1/2

Answers

Answer:

[tex]-0.375[/tex]

For more help, take a look at this chart.

can someone who KNOWS WHAT theyre doing and is good at angles please help

Answers

m1=51

m2=18

m3=123

m4=39

***remember the 180 rule, and supplementary/complementary angles!

180 rule: all triangle's internal angles add up to 180, this means if you know any two angles you can always find the last one

supplementary angles:

angles that add up to 180, 180 is a straight line so they can be found on almost all triangle problems.

if there is a straight line and you know one of the angles that is on the line, you can find the other one by subtracting it from 180

complementary angles:

same thing ^ but with 90

i hope my explanations make sense! let me know if you have any more questions :)

A power boat travels along a river in which the flow of water is at a constant in one direction. If the boat travels at 40 mph downstream and 30 mph upstream. What is the speed of the boat in still water and the speed of the river?

Answers

Answer:

speed of boat is 35 mph

speed of river is 5mph.

Step-by-step explanation:

Let the speed of boat be u mph

let the speed of river be v mph

When boat travel downstream

in that case flow  of river will support the speed of boat hence

speed of river will be added to speed of boat

Thus,

speed of boat in downstream = speed of boat + speed of river = u + v

Given

the boat travels at 40 mph downstream

thus,

u + v = 40           -----1

When boat travel upstream

in that case flow  of river will oppose the speed of boat hence

speed of river will be subtracted from  speed of boat

Thus,

speed of boat in downstream = speed of boat -speed of river = u - v

Given

the boat travels at 30 mph upstream

thus,

u - v = 30  ----2

adding 1 + 2

we have

u + v = 40  

+ u - v = 30

2u = 70

u = 70/2 = 35

Thus,

speed of boat is 35 mph

using u = 35 in u + v = 40  

we have

35 + v = 40

v = 40 - 35 = 5

Thus, speed of river is 5mph.

Need help (don’t give me inn correct answer and don’t comment if you don’t know)

Answers

Answer:

I believe that the answer is number 2

Step-by-step explanation:

Pls I really need help with this

Answers

B is the answer.............

what is the answer if u do x=25(x+4)

Answers

Answer:

-25 over 6 as a fraction or -4 and 1 over 6 as simplified fraction or 4.16 as a decimal

Step-by-step explanation:

hopefully that helps you

How many terms are there in the following expression: 3a+3ab+7b-4d?

Answers

Answer:

3

Step-by-step explanation:

no need for 6AM and sons to know what u should be a good job of the first day and sons and peele is the only one who is the only person in this one who

Answer:

There are 4 terms.

Step-by-step explanation:

3a

3ab

7b

4d



What is the app, oximate value of 8
to the nearest tenth?

Answers

Answer:

10

Step-by-step explanation:

All other tens values are too far

Answer:

10

Step-by-step explanation:

What is the measure of angle F?

A. Cannot be determined
B. 65°
C. 55°
D. 75°

Answers

Answer:

65 degrees since both opposite sides are 10

Answer:

65 degrees

Step-by-step explanation:

Just took the test

The choir and band at Thomas Junior high's sold cookie dough for their fundraiser The choir sold the cookie dough for $2 per bucket and decided to spend $4 on material to make posters for advertising.the band sold the cookie dough for $3 per bucket but did not advertise for many bucket of cookie dough, x, would both clubs have the same profit?​

Answers

Answer:

no.

Step-by-step explanation:

Laura has 30 cupcakes she wants to give each friend 1/6 of her cupcakes how many cupcakes will Each friend get

Answers

Answer:

5 cupcakes

Step-by-step explanation:

=1x 30/ 6

=5

I hope it helps

Thank U

Answer:

No Of cup cakes laura has : 30

No of c Cupcakes She wants to give her friends:1/6

Cupcakes each friend got : 30 × 1/6

: 5

There fore Number of cupcakes each friend gets: 5 Cupcakes

What is the coordinate of point P on the line segment AB that is 3/4 of the distance from A to B for A(2,5) and B(6,9)?

Answers

Answer:

p  is (3.71, 6.71)

Step-by-step explanation:

Given that p is at the distance of 3/4 from A to B

it mean that point p divides the line AB into 3:4 ratio.

and

if there are two points (x1,y1) and (x2,y22) which is divided by point p in the ratio m:n then

coordinates of point p (x,y) is given

p (x = (n*x1+m*x2)/m+n , y = (n*y1+m*y2)/m+n )

________________________________________________

Given the points AB

A(2,5)

B(6,9)

m:n = 3:4

thus,

p (x = (4*2+3*6)/7 , y = (4*5+3*9)/7 )

p (x = (4*2+3*6)/7 , y = (4*5+3*9)/7 )

p (x = (26/7 , y = 47/7 )

P ( x = 3.71, y = 6.71)

Thus, coordinates of point p  is (3.71, 6.71) which is  at  3/4 of the distance from A to B for A(2,5) and B(6,9)/

Point S is the _ of UT?

Answers

Answer:

V

Step-by-step explanation:

SV is correct because it is the same

length of UT. You can check by using

your fingers to check the length of

UT then turn the picture around to

see if it is equal.

Hope this helps! <3

Answer:

S is the midpoint of UT

Step-by-step explanation:

US = ST   -----> from the picture

So, S is the mid point

Whats the answer to this the domain of the function URGENT!!!!!!!!!!!!!

Answers

Answer:

I think it's d I'm not sure tho

Answer:

B

Step-by-step explanation:

I'm pritty sure it is B hopefully this helps.

the product of a number and 13 increased by 5 is -12

Answers

Answer:

13x + 5= -12

hope this helps :)

Melissa shot a rocket 360 meters into the air, it took 4 seconds to fly that far. What’s the average speed of the rocket?

Answers

Answer:90meters per second

Step-by-step explanation:

is 9/36 greater than 8/1

Answers

Answer:

No it's not

Step-by-step explanation:

The reason is because 8/1 becomes a whole number unlike the other.

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