Which expression represents the relationship between the step number n and the total number of small squares in the pattern?



A pattern of small squares. Step 1 has 0 squares. Step 3 has 3 squares: 2 by 2 but missing the lower right square. Step 3 has 8 squares: 3 by 3 but missing the lower right square.



A.

B.

C.

D.

Answers

Answer 1

Answer: n squared - 1

Step-by-step explanation:

Answer 2

The relationship between the step number {n} and the total number of small squares in the pattern is -

f(n) = 2ⁿ - 1.

What is expression in mathematics?

An expression in mathematics is a combination of terms both constants and variables.

Given is a pattern of small squares as described -

Step 1 has 0 squares.

Step 2 has 3 squares : 2 by 2 but missing the lower right square.

Step 3 has 8 squares : 3 by 3 but missing the lower right square.

We can write the general expression for step {n} as -

Step {n} will have : 2ⁿ - 1 squares with missing the lower right square.

or

f(n) = 2ⁿ - 1

Therefore, the relationship between the step number {n} and the total number of small squares in the pattern is -

f(n) = 2ⁿ - 1.

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Related Questions


Nichole ordered lunch at a
restaurant. Her meal totalled
$14.30. If sales tax is 7%, and
she leaves a tip of 20% after
sales tax is added on, what is
the total she paid for lunch?

Answers

Answer:

$18.16

Step-by-step explanation:

14.30×7%=1

14.30×20%=2.86

14.30+1×2.86=18.16

Joe designs a weighted number generator that produces the integers 0 to 4. He then run the generator 500 times. The results are shown in the table. If Joe runs a generator a total of 4000 times, which is the closest to the expected number of times to integer for is produced?

Answers

Answer: since there is no table shown you can’t really tell but the closest would be the number that shows up the most amount of time but you would have to take into consideration of the increase of the number

Step-by-step explanation:

Can you please answer AND give an explanation to how you answered (this can be the steps you took, or how you did it they way you did). *brainliest to the BEST answer*

Answers

Answer:

$32.60

Step-by-step explanation:

Remember to find the percentage of something, times the number by the percentage, which is two decimals to the left. So 15% would be 0.15.

The total is unknown so replace it with a variable, such as x

.15(x)=4.89

Isolate x by dividing both sides by 0.15

x=32.6

Meal price: $32.60

Check your answer by multiplying this number by the tip percentages

32.6(.18)=5.87

32.6(.20)= 6.52

Can someone please help me with math.

Answers

Answer:

21.c

22.b

23.c

Step-by-step explanation:

find and write all the angles figure
I need it please fast and I will mark brainlist ​

Answers

Answer:

O1=150

O3 =15O

O2 = 30

16 = 120

x = 60

14 = 60

15 = 60

12 = 60

9 = 120

10=120

1= 130

2=50

3= 130

4=50

6=50

7=50

8= 130

5= 130

Step-by-step explanation:

O1 + 30 = 180

01 = 180 - 30

O1 = 150

O3 = O1 = 150 VERTICAL OPPOSITE ANGLES

02=30 VERTICAL OPPOSITE ANGLES

Please help! Thank you if you do :)

Answers

Step-by-step explanation:

A(-5,1) and B(0,4)

[tex]m \: = \: \frac{y2 - y1}{x2 - x1} [/tex]

X1=0 , Y1=4 X2= -5 , Y2=1

[tex]m \: = \: \frac{3 }{5} [/tex]

[tex]y - y1 = m(x - x1)[/tex]

y - 4 = ⅗(x-0) ==> y - 4 = ⅗ X ==> y = ⅗ X + 4

C is the answer

can i please have help thank you

Answers

Answer:

37

Step-by-step explanation:

10x40 = 400

2(39+42)+ 40 x 4 + 41 + X = 400

162 + 160 + 41 = 400 - X

400 - 363 = X

X= 37

Answer:i dont know sr

Step-by-step explanation:

Which transformation is shown

Answers

Answer:

Rotation

Step-by-step explanation:

The shape is rotating about 90º counterclockwise towards the image.

6x^2+3x+24=0 solve by factoring

Answers

Answer:

No real solutions

Step-by-step explanation:

Let's solve your equation step-by-step.

6x2+3x+24=0

For this equation: a=6, b=3, c=24

6x2+3x+24=0

Step 1: Use quadratic formula with a=6, b=3, c=24.

x= (−b±√b2−4ac) /2a

x=( −(3)±√(3)2−4(6)(24))/ 2(6)

x= (−3±√−567) /12

4. Owen and his family are discussing how to pay for his college education. The cost of tuition at the college that Owen wants to attend is $12,000 per year. Owen's parents will pay 60% of the tuition cost every year and he will pay the rest. Owen has one year to save for enough money to attend his first year of college. What is the minimum amount of money he should save every month in order to reach his goal? A. $600 B. $400 D. $500 C. $300​

Answers

Answer:

400

Step-by-step explanation:

12000 X 60%=7200-parents

12000-7200=4800-owen

4800/12=400 is what owen will save monthly

The figure below is made of 13 identical squares. The area of the figure is 52 cm2. What is the perimeter of the figure?​

Answers

Answer:

28.84

Step-by-step explanation:

the figure is just a square made up of squares so to find the side of a square you use the \sqrt{52} to find one side then multiply times 4 for each side

If l║m and m∠8 = 109°, what is m∠5?

Answers

you need to see all the measurements to know what m∠5 to get the answer.

2. Dwayne scored 55 points in the last basketball game, which is 10 points more than his previous personal best. Lebron scored 15 points more than Chris in the
same game. Lebron scored the same number of points as Dwayne’s previous personal best.
Write two algebraic equations, let d represent the number of points Dwayne scored during his previous personal best and c represent the number of Chris’s points.

Answers

Answer:

Required equations are:

d + 10 = 55c + 15 = d

Solving the first, we get:

d = 55  - 10d = 45

Solving the second we get:

c + 15 = 45c = 45 - 15c = 30

Which is larger, a pound or a kilogram? Explain your reasoning.

Answers

Answer:

kg

Step-by-step explanation:

1pound is 0.45kg

Answer:

Both pound and kilogram are units of measurement of weight or mass. A pound is an imperial unit of mass or weight. ... A kilogram (kg) is stated to be 2.2 times heavier than a pound (represented as lbs). Thus, one kilo of mass is equal to 2.26lbs. Step-by-step explanation:

Please!!! I need help

Answers

Answer:m

Step-by-step explanation:

n

A ring-shaped region is shown below. Its inner radius is 19 m, and its outer radius is 24 m. Find the area of the shaded region. Use 3.14 for . Do not round your answer.

Answers

Answer:

675.1 sq m

Step-by-step explanation:

Area of larger circle = 3.14(24^2) = 3.14(576) = 1808.64

area of smaller circle = 3.14(19^2) = 3.14(361) = 1133.54

area of ring = Area of larger circle - area of smaller circle

= 1808.64 - 1133.54 = 675.1

There are 18 children in Haley's preschool class. During free time yesterday, 3 of them chose to play with blocks. What is the probability that a randomly selected child chose to play with blocks yesterday?

Answers

Answer:

3/18

Step-by-step explanation:

Out of the 18 kids, three of them did, so 3/18, which can be simplified to 16.6666%, so 17% if you round it to the nearest degree.

Answer:

1/4

Step-by-step explanation:

its literally 1/4

Evaluate 3x^2, when x is 5
Help meee

Answers

Answer:

75

Step-by-step explanation:

Answer:

75

Step-by-step explanation:

3(5^2) = 3(25) = 75

12x + 70 ≥ 10x + 80?

Answers

X>=5 so [5, infinity)

Answer:

x is greater than or equal to 5

Step-by-step explanation:

Hope this helps! :))

Have a nice day<3

please answer the correct answer PLEASE I will also give Brainlist
A student wrote the following equations: Зу + 6 = 2х 2y - 3x = 6 The lines represented by these equations are.

1- Parallel
2- the same line
3- perpendicular
4-intersecting, but not perpendicular​

Answers

Answer:

Please should we solve the equation or the angle?

The product of 4x and O is​

Answers

Answer:

Always the product of any number and zero will be zero.

Step-by-step explanation:

Answer: Always the product of any number and zero will be zero.

HOPE THIS ANSWER HELPS YOU....

Which expression is equivalent to -80 ? ✓ ОО 0 -4.5 -4.5 O 0 4.5 4.5;​

Answers

Answer:

00

Step-by-step explanation:

Which expression is equivalent to 3/24?

Answers

Answer:

18 is equivalent to 3/24 because 1 x 24 = 8 x 3 = 24. 216 is equivalent to 3/24 because 2 x 24 = 16 x 3 = 48.

0.125

3/24 as a decimal is 0.125.

Step-by-step explanation:

Please help i really need to do this :D

Answers

Answer:

[tex]17[/tex]

Step-by-step explanation:

Since h=17 we use that

[tex]h(t) = \sqrt{17t} [/tex]

[tex]h(t) = \sqrt{289} = 17[/tex]

Cameron has a rectangular cooler to bring to a picnic. The cooler is 15 inches long, 12 inches wide, and 20 inches high. What is the volume of the cooler in cubic inches?

Answers

Answer:

21

Step-by-step explanation:

which expression is equivalent to x^4-2x^ 3+x^2

Answers

X^2(x-1)(x-1)
Or
X^2(x-1)^2

Please help me out on this no link, no bots, no stealing points, don’t answer if you don’t know

Answers

Answer:

x = 15

Step-by-step explanation:

[tex]x^{2} + 20^{2} =25^{2}[/tex]

[tex]x^{2} +400=625[/tex]

[tex]x^{2} =225\\[/tex]

[tex]\sqrt{x[/tex]

=x

[tex]\sqrt{225}[/tex]

= 15

[tex]x=15[/tex]

Find the average rate of change of g(x) =-x²+2x+2 from x=2 to x = 6.
Simplify your answer as much as possible.

Answers

Solve the equation replacing x with 2 and the 6:

-2^2 + 2(2) + 2 = 4 + 4 + 2 =10

-6^2 + 2(6) + 2 = 36 + 12 + 2 = 50

Difference between the answers: 50-10 = 40

Difference between 2 and 6 = 6-2 = 4

Average rate of change = 40/4 = 10

The answer is 10

choosing from a comedy horror or action movie each shown in four different theaters​

Answers

So basically what he’s trying to say is

PLEASE HELP!!!!!! I need the answer right now

Answers

Answer:

C

Step-by-step explanation:

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