Two students each write a function, S(n), that they think can be used to find the number of squares needed to make the nth figure in the pattern shown.

Use the drop-down menus to explain why each function does or does not represent the number of squares needed to make the nth figure in the pattern.

Two Students Each Write A Function, S(n), That They Think Can Be Used To Find The Number Of Squares Needed

Answers

Answer 1

The number of squares needed to make nth figure in the pattern is

S(n) = 2ⁿ.

What is square?

A square is "a shape that has four sides of the same length and the four angles of right angles".

According to the question,

S(1)=2; S(2) =4; S(3) = 8: S(4)=16 .........

S(1) = 2; S(2) = 2² = 4; S(3) = 2³ = 8; S(4) = 2⁴ = 16....... S(n) = 2ⁿ

In to find the number of squares needed to make the nth figure in the given pattern is S ( n ) = 2ⁿ.

Hence, the number of squares needed to make nth figure in the pattern is S(n) = 2ⁿ.

Learn more about squares here

https://brainly.com/question/8954712

#SPJ2

Answer 2

The number of squares needed to make nth figure in the pattern is

S(n) = 2ⁿ.

According to the question,

S(1)=2; S(2) =4; S(3) = 8: S(4)=16 .........

S(1) = 2; S(2) = 2² = 4; S(3) = 2³ = 8; S(4) = 2⁴ = 16....... S(n) = 2ⁿ

In to find the number of squares needed to make the nth figure in the given pattern is S ( n ) = 2ⁿ.

Hence, the number of squares needed to make nth figure in the pattern is S(n) = 2ⁿ.


Related Questions

HELPPPPPPPPPPP
NO LINKS

Answers

Answer:

Point W is [tex](-5,-4)[/tex]

Point Z is [tex](-5,6)[/tex]

Hope This Helps! :) Please Give Brainliest if you can!

Answer: Point W is (5, -4 Point Z is (-5,6)

EZ POINTS!!!!!! explain how you divide 72 by 9.

Answers

Answer:

8

Step-by-step explanation:

Take 72 and put it over 9. In other words, split 72 into 9 groups. Your answer will be 8, btw.

Thanks for the points. Hope it helps :)

Answer:

9\72=8

Step-by-step explanation:

9x8=72

  _08_

9|   72

 -   72

-----------

   0

please mark brainliest

Need help with math!!!!

Answers

Answer:

The difference is approxiametly 8

Step-by-step explanation:

Things need to know

Whole number = Number on the left side of the mixed fraction

Numerator = Number on top of fraction

Denominator = Number on bottom of fraction

How to convert mixed numbers into improper fractions = Multiply denominator by whole number and then add that to the numerator

How to turn improper factions into decimals = Divide numerator by denominator

Improper fraction = A fraction where the numerator is greater than the denominator

Mixed fraction = A whole number and a proper fraction mixed together

For the first mixed number:

[tex]9 \dfrac{ 52 }{ 69 }[/tex]

9 = whole number

52 = numerator

69 = denominator

For the second mixed number:

[tex]1 \dfrac{ 29 }{ 50 }[/tex]

1 = whole number

29 = numerator

50 = denominator

Given:

[tex]9 \dfrac{ 52 }{ 69 } -1 \dfrac{ 29 }{ 50 }[/tex]

Convert mixed numbers into improper fractions

[tex]\dfrac{ 673 }{ 69 } - \dfrac{ 79 }{ 50 }[/tex]

Turn improper factions into decimals

[tex]9.753623188405797-1.58[/tex]

Round both numbers to the nearest whole number

[tex]10-2[/tex]

Subtract 2 from 10

[tex]8[/tex]

Answer: 8

please help!!! I will make you brainliest I need this and I also don't understand ​​

Answers

3 it makes 2 parallelograms so it is 3 but if you need more help Comment on this answer

State whether each of the statements below is true or false.
Write down your reasoning and give a counter-example for any
statement you believe is false
a All isosceles triangles are similar.
b All equilateral triangles are similar.
C All right-angled triangles are similar.
d All right-angled triangles with an angle of 30° are similar.
e All right-angled isosceles triangles are similar.
f No pair of scalene triangles are ever similar.

Answers

Answer:

a)True

b)True

c) False

d) True

e)True

f) True

What is the period of rotation of the wheel for which the height of a rider (in feet) above the ground after riding the wheel for t seconds dunce passing the farthest right position on the wheel given by h(t)=60+45 sin (30t)?

Answers

According to the given sine function, it is found that the period of rotation is of 0.21 seconds.

What is the period of a sine function?

Suppose a sine function modeled by:

[tex]y = A\sin{[B(x + c)]}[/tex]

The period is given by:

[tex]P = \frac{2\pi}{B}[/tex].

In this problem, the function is:

h(t)=60+45 sin (30t).

The vertical shift and the amplitude do not interfer in the period, hence B = 30 and:

[tex]P = \frac{2\pi}{30} = 0.21[/tex]

The period of rotation is of 0.21 seconds.

More can be learned about the period of a sine function at https://brainly.com/question/16818112

Mrs. Trevino was asked to provide at least 120 bagels for a workshop. She already has 2 dozen bagels. Mrs. Trevino will buy the remaining bagels in packages of 6. which inequality shows all the values of x if x equals the number of packages or bagels she could buy, beginning wath the minimum value of x? You must write and solve an inequality to receive credit.

Answers

hello!

First, we have "at least 120 bagels"

So we write ≥120 bagels.

Now, we are given that:-

Mrs. Trevino already has 2 dozen bagels.

Remember, a dozen is equal to 12, so if we have 2 dozen, then we have

[tex]\sf{2*12=24}\longleftarrow\sf{Mrs.Trevino~already~has~24~bagels}[/tex]

Now, she'll buy the remaining bagels in packages of 6, so we write

6x (packages of 6)

So the inequality looks like so:-

[tex]\sf{6x+24\geq 120}[/tex]

Now, let's solve the inequality :)

First, subtract 24 from both sides:-

[tex]\sf{6x\geq 120-24}[/tex]

[tex]\sf{6x\geq 96}[/tex]

Divide both sides by 6:-

[tex]\bigstar{\boxed{\pmb{x\geq 16}}}\longleftarrow\sf{number~of~packages~she~should~buy}[/tex]

note:-

Hope everything is clear :)

Which fraction does this line plot represent?
5/8
6/8
5/9
3/8

Answers

Answer:

5/8

Step-by-step explanation:

Just gonna fill up the required space here lol

The circumference of a circle is 11 inches. What is the area, in square inches, of the circle? Express your answer in terms of pi

Answers

Answer

A = 30.25pi. PLS GIVE BRAINLIEST

Step-by-step explanation:

so if circumference is 11, and formula for circumference is 2pi*r, we can work backwards to find the radius.

Radius: 11pi/2 = 5.5pi = 5.5 is radius

Area = pi * r^2

so Area = pi*5.5^2

so A = 30.25pi left in terms of pi

Answer: 11/4pi

Step-by-step explanation:

What’s the radius of center (-2,1) and contains the point (2,-1)

Answers

Radius of a Circle Given Center and Point

To find the radius of a circle when we're given the coordinates of its center and a point it contains, we can use the following formula for distance:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

[tex](x_1,y_1)[/tex] is one point and [tex](x_2,y_2)[/tex] is another

Solving the Question

We're given:

Center: (-2,1)Point: (2,-1)

Plug these given points into the formula for distance:

[tex]d=\sqrt{(2-(-2))^2+(-1-1)^2}\\d=\sqrt{(2+2)^2+(-1-1)^2}\\d=\sqrt{(4)^2+(-2)^2}\\d=\sqrt{16+4}\\d=\sqrt{20}\\d\approx4.47[/tex]

Answer

Therefore, the radius of the circle is [tex]\sqrt{20}[/tex] units, or approximately 4.47 units.

Can someone please help me with this questions thank you !!

Answers

Step-by-step explanation:

count the number of boxes

The train was scheduled to arrive at 5:10 p.m. However٫it was delayed for 25 minutes. What time was it when the train arrived?

Answers

Answer:
4:45

if the train was schedules to arrive at 5:10, you must subtract 25 minutes (the delay) to get your answer: 4:45

Answer:

5:35 p.m.

Step-by-step explanation: Just add 25 to 5:10

please help me i'll do anything

Answers

Step-by-step explanation:

Here are all the answers.

Find the least common denominator of 1/5 and 3/10?

Answers

Answer:

20 would be the lowest that both 10 and 5 could go into, and that would make the fractions 4/20 and 6/20.

Answer:

10

Step-by-step explanation:

We need to find the lowest common multiple of teh 2 denominator:

So first let's write the first few multiples of 5:

5,10,15,20,25

Now let's write the first few multiples of 10:

10,20,30,40,50

Since 10 is the first number that appears in both lists this is our answer

Use the following system of linear equations to do the three tasks below.
x = y +3
Y=-4x-3
• Part A: Solve the linear system of equations by graphing.
• Part B: Use substitution to solve the linear system of equations.
• Part C: Use addition to solve the linear system of equations.
In your final answer, include all of your work, the graph of the equations and the solution.

Answers

Step-by-step explanation:

where the is y,you put the value of y 4x-3 and where the is x,put the value of x (y+3)

WILL GIVE BRAINLIEST, THANKS, AND 5 STARS! PLEASE HELP EXPLAIN TO ME IN WORDS!

QUESTION IN SCREENSHOT!

Also: hows your day going, how are you feeling?

Answers

Answer:

So, we can check step by step.

2x^2-7x+5=0

So, 2x^2-2x-5x+5=0 is correct

2x(x-1)=2x^2-2x, 5(x-1)=-5x + 5= 0, that step is correct

(I'll skip the next step)

2x-5=0,

2x=5

x=5/2, NOT 2/5

The other one is correct

Sorry if this seems a bit vague!

[tex]\\ \rm\Rrightarrow 2x^2-7x+5=0[/tex]

Split the middle term

[tex]\\ \rm\Rrightarrow 2x^2-2x-5x+5=0[/tex]

Take common

[tex]\\ \rm\Rrightarrow 2x(x-1)-5(x-1)=0[/tex]

Factor up

[tex]\\ \rm\Rrightarrow (2x-5)(x-1)=0[/tex]

Find x

[tex]\\ \rm\Rrightarrow x=5/2,1[/tex]

Lauren written 2/5 instead of 5/2

Let's verify once more

2x-5=02x=5x=5/2


NEED HELP ASAPPP !!!

Answers

Answer:

I believe D is the correct answer

what are the dimensions of a rectangle with an area of 45 square inches and a perimeter of 28 inches?

Answers

Answer:

9 in × 5 in

Step-by-step explanation:

the area of a rectangle :

length × width

and this is 45 in² in our case.

the perimeter of a rectangle is

2×length + 2×width

and this is 28 in in our case.

l×w = 45

l = 45/w

2×l + 2×w = 2×(45/w) + 2w = 28

45/w + w = 14

45 + w² = 14w

w² - 14w + 45 = 0

the general solution to such a squared equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = w

a = 1

b = -14

c = 45

w = (14 ± sqrt((-14)² - 4×1×45))/(2×1) r

= (14 ± sqrt(196 - 180))/2 = (14 ± sqrt(16))/2 =

= (14 ± 4)/2 = 7 ± 2

w1 = 7 + 2 = 9 in

w2 = 7 - 2 = 5 in

l1 = 45/w1 = 45/9 = 5 in

l2 = 45/w2 = 45/5 = 9 in.

so, we see, length and width are interchangeable. it is only important to make one 9 in and the other 5 in.

√2(3+3√2) Needs to be simplified down​

Answers

Answer:

Exact Form:3√2+6

Decimal Form:

10.24264068…

Step-by-step explanation:

The measure of the complement of an angle is 40 less than the measure of the supplement of the angle. Find the measure of the angle.

Answers

Step-by-step explanation:

x is the angle.

complementary angles are adding up to 90°.

supplementary angles are adding up to 180°.

so,

90 - x = (180 - x) - 40 = 140 - x

0 = 50 ? no

there is something wrong here. this cannot work out, there is no solution. there cannot be a solution.

because due to the definitions, the supplementary measure of an angle must always be 90° larger than the complementary measure of the same angle. that is by default the difference in their definition.

so, if an angle is only 40° less than the supplementary angle, then it cannot be the complementary angle.

so, either there was a mistake in the question, or this is a trick question.

under the given circumstances, there is no solution possible.

Hitung nilai x bagi persamaan
Calculate the value of x for the equation ​

Answers

Answer:

2

Step-by-step explanation:

2⁹ ÷ (4^x) = 32^x × 32^(-1)

2⁹ ÷ 32^(-1) = 32^x × 4^x

16384 = 128^x

Kalau kamu dah belajar logaritma,

[tex]x = log_{128}(16384) \\ x = 2[/tex]

Jika belum,

2¹⁴ = 2^(7x)

Bandingkan kuasa persamaan tersebut,

7x = 14

x = 2

What should be done to solve the following equation?
=
C-730
7
What should be done to solve the following equations?
C - 7 and 3/4= 0

A) add 7 and 3/4 to both sides of the equation

B)Add O to both sides of the equation.

C)Subtract from both sides of the equation

D) Subtract 7 from both sides of the equation

Answers

The equation C -7 - 3/4 = 0 is an algebraic equation

To solve the equation we (a) add 7 and 3/4 to both sides of the equation

How to determine the action on the equation?

The equation is given as:

C -7 - 3/4 = 0

Make C the subject of formula by adding 7 and 3/4 to both sides of equation

C = 7 + 3/4

Now, we can solve for C

Hence, to solve the equation we (a) add 7 and 3/4 to both sides of the equation

Read more about equations at:

https://brainly.com/question/2972832

4/9,-4/3, 4 what comes next?

Answers

Answer:

-12

Step-by-step explanation:

because 4 will be multiplied by-3 since 4/9 was multiplied by-3 to get -4/3 and -4/3 was multiplied by-3 to get 4

HELP ASAP
Refer to the diagram at the right. Give the area of each
region in standard form.
a. Shaded rectangle
b. Larger rectangle
c. Unshaded region

Answers

Answer:

Step-by-step explanation:

(a). [tex]A_{1}[/tex] = x ( 2x + 1 ) = 2x² + x

(b). [tex]A_{2}[/tex] = 2( 2x + 1 )( 5x + 3 ) = 20x² + 22x + 6

(c). [tex]A_{3}[/tex] = 20x² + 22x + 6 - ( 2x² + x ) =

( 20x² - 2x² ) + ( 22x - x ) + 6 =

18x² + 21x + 6  

Help pls :)I’m a little slow

Answers

Answer:

The number line "D" represents the solution to 5+8x<3(2x+4)

Answer:

Solve;

5 + 8x < 3(2x + 4)

Perform the distributive property:

5 + 8x < 6x + 12

-5              -5

8x < 6x + 7

-6x     -6x

2x < 7

/2   /2

x < 3.5, so your answer is D.

The population of a town is expected to grow by 6% each year.

In 2017 the population was 27,000.

What will the be population in 2018?

Answers

Answer:

28620

Step-by-step explanation:

→ Find the multiplier

( 100 + 6 ) ÷ 100 = 1.06

→ Multiply by the original amount

27000 × 1.06 = 28620

The Answer Is :28620

x2 + 4x -2 = -1
can someone solve this for me please

Answers

I think this might be it. Hope it helps..

Please help me.
2 ^ (2x - 3) * .5 ^ (x - 1) = 200

Answers

Answer:

x = 3

Step-by-step explanation:

[tex] {2}^{(2x - 3)} \ast {5}^{(x - 1)} = 200 \\ \\ \implies \: {2}^{(2x - 3)} \ast {5}^{(x - 1)} =8 \ast \: 25 \\ \\\implies \: {2}^{(2x - 3)} \ast {5}^{(x - 1)} = {2}^{3} \ast {5}^{2} [/tex]

Comparing like terms on both sides, we find:

[tex]{2}^{(2x - 3)}= {2}^{3}\: \: or \:\:{5}^{(x - 1)} = {5}^{2} [/tex]

[tex]\implies \:2x - 3 = 3 \: \: or \: \:x - 1 = 2 \\ \\ \implies \:2x = 3 + 3 \: \: or \: \: x = 1 + 2\\ \\ \implies \:2x = 6 \: \: or \: \: x = 3 \\ \\ \implies \:x = \frac{6}{3} \: \: or \: \: x = 3 \\ \\ \implies \:x = 3 \: \: or \: \: x = 3 \\ \\ \implies \huge \:x = 3 [/tex]

describe how to simplify the he expression 3^-6/3^-4

Answers

Answer:

by using bodmas rule

to solve this problem

Step-by-step explanation:

=3^-6/3^-4

=3-2-4

=-3

1,945x46 multiplying multiplication

Answers

Answer:

89,470

Step-by-step explanation:

Other Questions
Mrs. Trevino was asked to provide at least 120 bagels for a workshop. She already has 2 dozen bagels. Mrs. Trevino will buy the remaining bagels in packages of 6. which inequality shows all the values of x if x equals the number of packages or bagels she could buy, beginning wath the minimum value of x? You must write and solve an inequality to receive credit. Need help with math!!!! Which linear line equation has no solution? complete the diagram of the mechanism of a general enzyme-catalyzed reaction. the abbreviations e, p, and s indicate the enzyme, product, and substrate, respectively. At the popular restaurant fire wok 55% of guests order the signature dish what fraction of guests order the signature dish? Which of the following choices describes a benefit of genres Climates that have the fastest rate of weathering are:. Straight-line, declining-balance, and activity-based refer to methods commonly used to. The leadership aspect of managerial leaders is to ______, while the management part is to ______. 16. provide the five spanish present indicative tense conjagation of the verb ser(to be) Which of the following is not a good note-taking skill?all notes copied directly from source materialnote cards identified with source namenotes taken on cards Can someone please help me with this questions thank you !! The circumference of a circle is 11 inches. What is the area, in square inches, of the circle? Express your answer in terms of pi Find the least common denominator of 1/5 and 3/10? Yo ____ al escondite con los nios. Need Help ASAP**50 Points and Brainliest Possible**How much is a "serving" of each of the following food items? Use digits to express your answers. Answers should be written as 1/2, 3/4, 1, or 2-3. What is the name for a supporting force that acts upward and in a direction perpendicular to a surface Which is not a major insect body segment? Find the quotient.(3.683 104)(7.51 1012)What is the solution in scientific notation?4.9041 (-9)104.9041 10-94.9041 1094.9041 910 The volume of a 3-cm cube is