How many pennies are on the nth square? 2n 2n – 1 2n 1 2n – 1 2n 1

Answers

Answer 1

The number of pennies is on the [tex]\rm n^t^h[/tex]square is  [tex]\rm 2^n^-^1[/tex].

I am assuming the:

1 penny = [tex]2^0[/tex]

2 pennies = [tex]2^1[/tex]

3 pennies = [tex]2^2[/tex]

and so on.

It is required to find how many pennies are on the [tex]\rm n^t^h[/tex]  square.

What is a sequence?

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have:

1 penny = [tex]2^0[/tex]

2 pennies = [tex]2^1[/tex]

3 pennies = [tex]2^2[/tex]

If we observe the pattern, we see it on the  [tex]\rm n^t^h[/tex]  square the number of pennies will be [tex]\rm 2^n^-^1[/tex]

[tex]\rm n^t^h= 2^n^-^1[/tex]

Thus, the number of pennies is on the [tex]\rm n^t^h[/tex]square is  [tex]\rm 2^n^-^1[/tex].

Learn more about the sequence here:

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Related Questions

-10x-2y=16 What is the slope intercept form of that?​

Answers

Answer:

The slope is 5 and the slope or y intercept is 8 and the equation is y = -5x + 8.

Step-by-step explanation:

Turn it into -2y = 10x + 16

Then divide by -2

y=-5x+8

The slope is 5 and the slope or y intercept is 8 and the equation is y = -5x + 8.

Answer: y = 5x + 8

Step-by-step explanation:

-10x - 2y = 16 —> add 10x to each side

2y = 16 - (-10x) —> add the opposite & flip the numbers so the variable is closest to the equal sign

2y = 10x + 16 —> divide 2 by each side

y = 10x/2 + 16/2 —> simplify

y = 5x + 8

Harley and Natalie are each given 2 1/3 kg of clay Harley makes as many balls of clay as he can from his clay. Each ball weighs 1/6 kg. Natalie makes ten more clay balls than Harley (each weighing the same).

If Natalie used up all her clay, how much does each of her clay balls weigh?

Answers

Solution:

Note that:

One ball made by Harley = 1/6 kgEach student was given 2 1/3 kg of clayNatalie made 10 more balls (same weight) than Harley.

Solving for how much balls made by Harley.

7/3 ÷ 1/6=> 7/3 x 6=> 7 x 2=> 14 balls.

Solving for how much balls made by Natalie.

14 + 10 => 24 balls

Finding out the weight of each ball made by Natalie.

7/3 ÷ x = 24=> 7/3 × 1/x = 24=> 7/3x = 24=> 7 = 72x=> x = 7/72 kg

Natalie's balls weigh about 7/72 kg.

Which equation represents a linear function?

Answers

Answer:

D)y=1/4x

Step-by-step explanation:

Its the only answer that is a straight line

Answer:

(D) y = 1/4x

Step-by-step explanation:

(A) is incorrect because that is an absolute value function. This causes the graph to look like a sharp "v".

(B) is incorrect because that is an exponential function. This is because the "x" is raised to the second power. The graph would resemble a "u".

(C) is incorrect because that is an exponential function. This is because the "x" is raised to the third power. The graph would resemble a "u".

(D) is correct because the "x" is only raised to the first power. The base equation for a linear function is y = mx + b. The graph would resemble a straight line.

100POINTS!!!!!!!!
Select the correct answer.
What is the domain of the function shown on the graph?

Answers

Answer:

for the answer to your question dear friend it is c

Step-by-step explanation:

i hope this helps dear friend!

Select the correct answer. Consider the function f(x) = 10x and the function g(x) shown below. How will the graph of g(x) differ from the graph of f(x)? A. The graph of g(x) is the graph of f(x) shifted up by a factor of . B. The graph of g(x) is the graph of f(x) compressed vertically by a factor of . C. The graph of g(x) is the graph of f(x) stretched vertically by a factor of . D. The graph of g(x) is the graph of f(x) shifted to the right by a factor of .

Answers

Answer:

most likely 43

Step-by-step explanation:

fr.

Jasmine bought a 4 kg block for modeling clay she wants to divide it into eight equal blocks what will the mass of each block in grams

Answers

Answer:

The mass of each block is 500 grams.

Step-by-step explanation:

4 kg = 4000 grams

Now we divide,
4000 / 8 = 500

Our final answer should be 500.

Solve the proportion. i need help.
x+3/6=8/3

x=?

Answers

Answer:

x = 2 1/6 (13/6)

Step-by-step explanation:

to solve the proportion you must first find the LCF or least common factor

that is 6

so turn 8/3 into 16/6 by multiplying it by 2/2

x + 3/6 = 16/6

then you subtract 3/6 from both sides

x = 13/6

x is 2 1/6

Hope the attachment helps

You want to donate half of the earnings from your yard sale to a community center, and put the other half in your savings account. If your account already has $34 in it, and you hope to have more than $90, how much do you need to earn at your yard sale?

Answers

Answer:

$56 or $112

(this question can mean two different things).

Step-by-step explanation:

If this is correct mark brainly to let me know tyy C:

Gabriel is building a flower box for his garden. He is building a cube
without a top so that he can fill it with soil. He needs to calculate
the surface area to determine how much wood he needs. The
length of the box is 3 feet.
Which expression will give him the surface area?

O 3x3x6
O 3x3x3
O 3x3x5
O 3+3+3

Answers

Answer: 3*3*5 because each square is 3 by 3 and there are 5 faces which you need wood on -> there is no top face.

What is the following quotient? startfraction 2 over startroot 13 endroot startroot 11 endroot endfraction startroot 13 endroot minus 2 startroot 11 endroot startfraction startroot 13 endroot startroot 11 endroot over 6 endfraction startfraction startroot 13 endroot startroot 11 endroot over 12 endfraction startroot 13 endroot minus startroot 11 endroot

Answers

A quotient is a quantity that is obtained by dividing two integers. The quotient of the division [tex]\dfrac{2}{\sqrt{13}+\sqrt{11}}[/tex] is (√13-√11).

What is a quotient?

A quotient is a quantity that is obtained by dividing two integers. The quotient is a term that is widely used in mathematics to refer to the integer component of a division, as well as a fraction or a ratio.

In order to find the quotient of the fraction, we need to take the rationalise of the fraction.

[tex]\dfrac{2}{\sqrt{13}+\sqrt{11}} \\\\\\ =\dfrac{2}{\sqrt{13}+\sqrt{11}} \times \dfrac{\sqrt{13}-\sqrt{11}}{\sqrt{13}-\sqrt{11}}\\\\\\= \dfrac{2(\sqrt{13}-\sqrt{11})}{(\sqrt{13})^2-(\sqrt{11})^2}\\\\\\= \dfrac{2(\sqrt{13}-\sqrt{11})}{2}\\\\=(\sqrt{13}-\sqrt{11})[/tex]

Hence, the quotient of the division [tex]\dfrac{2}{\sqrt{13}+\sqrt{11}}[/tex] is (√13-√11).

Learn more about Quotient:

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Answer:

D.) StartRoot 13 EndRoot minus StartRoot 11 EndRoot

Step-by-step explanation:

on edge took the test .

Can someone help me with this question? I’ll mark you brainliest!!!

A. Use the center of rotation point C and roatate point P clockwise around it 90°. The image is P'.

What is the coordinate of P'?

P'=( _ , _ )



B. With center of rotation point C and roatate point P' clockwise around it 90°. The image is P''.

What is the coordinate of P''?

P''=( _ , _ )

Answers

Answer:

A. P' = (9, -2)

B. P" = (1, -4)

Step-by-step explanation:

To make it easier to understand, make point C the origin (0 , 0). From that, you will notice point P is 3 units right and 5 units up of point C, meaning the coordinates of point P is (3, 5). A 90° rotation clockwise on point P (3, 5) is (5, -3). Since point C is 4 units right and 1 unit up from the actual origin, we will add that to (5,-3); (5 + 4, -3 + 1) = (9, -2). Therefore, P' = (9, -2).

Knowing the coordinates of P' allows us to figure out the coordinates of P''. Once again, we'll make point C the origin, meaning P' would be at (5, -3). Like we did before, we will perform a 90° rotation clockwise of (5, -3) to get (-3, -5). Lastly, add back the appropriate amount of units to (-3, -5) to make point C the center of rotation in this example; (-3 + 4, -5 + 1) = (1, -4). Therefore, P" = (1, -4).

Please note that this is only my method of solving translations. Please consult more official sources if you want to learn more. Other than that, I hope this helps!

Marissa walks the neighbor’s dogs every afternoon after school. She charges a flat fee of $15.00 per week plus $4.00 per hour. If she walks the dogs for a total of 5 hours in one week, what is the total amount that she earns for that week?

Answers

Answer:

$35

Step-by-step explanation:

15 dollar per week plus 5 x 4 is 15+20 dollars or 35 dollars.

HELP NEED ANSWER ASAP!!!!!!!! 100 PTS AND MARK THE BRAINILEST

In the figure shown, L is the center of the circle and PQ is a chord of the circle measuring 20 cm.

What is the length, in cm, of PL? Round to the nearest hundredth digit.


Show me:

(a) length of segment PM (1 point)

(b) what circle property did you use to find the length of PM (1 point)

(c) what formula/theorem did you use to calculate the length of segment PL (1 point)

(d) all math used to calculate the length of segment PL (1 point)

Round your answer to the nearest hundredth digit.

Answers

Hence, section PL measures about 18.03 cm in length (rounded to the nearest hundredth digit).

what is length ?

The length of a one-dimensional object, such as a line, curve, or straight segment, is measured by the fundamental physical quantity known as length. It is a way to gauge the separation between two points or the size of an object along a specific axis. The International System of Units (SI) uses metres as the unit of length (m). One of the most important ideas in geometry is length, which is used to describe the characteristics of geometric forms and shapes. For instance, the length of a circle is the distance around its circumference, whereas the length of a line segment is the distance between its endpoints.

given

(A) We must first determine the length of chord PQ in order to determine the length of segment PM. Since LM is the perpendicular bisector of PQ in the figure, PM is equal to MQ. PQ's length is 20 cm, so PM and MQ's lengths are each 50 percent of that, or:

PM=MQ=20/2=10 cm

Sqrt(PM2 + LM2) = PL

(d) When we enter the values from parts (a) and (c), we obtain:

Sqrt(10 + 15) = PL

Sqrt(100 + 225) = PL

Sqrt = PL (325)

PL ≈ 18.03 cm

Hence, section PL measures about 18.03 cm in length (rounded to the nearest hundredth digit).

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Mrs. Adesso wants to take her class on a trip to either the science center or the natural history museum. The science center charges $7 per student, plus $75 for a guided tour. The natural history museum charges $8 per student, plus $50 for a guided tour. For what number of students is the cost of the trip the same at each museum?

Answers

Answer:

25

Step-by-step explanation:

see picture for work!


Hello I need help on this math question
BRAINLIEST For the fastest correct answer


Lateral Area = 37.68 in squared
Total surface area =​

Answers

Answer:

94.2 in squared

Step-by-step explanation:

lateral area plus area of both flat sides

37.68 + 2(3.14*3^2)

37.68 + 56.52 = 94.2 in squared

20. What is the greatest prime factor of 3^7+6^6 ?

Answers

Answer:

67

Step-by-step explanation:

3^7 = 2187

6^6 = 46656

46656+2187=48843

Prime factors of 48843: 3, 3, 3, 3, 3, 3, 67

Factor tree:

48843

| \  

16281   3

| \  

5427   3

| \  

1809   3

| \  

603   3

| \  

201   3

| \  

67   3

Help if you understand please and thanks

Answers

Answer:

-4

Step-by-step explanation:

3 is greater than or equal to 2 and less than 6

you are looking for the statement that is correct when subbing in 3 for x


what is the factored form of x^2-x-2

Answers

Answer:

(x-2),(x+1)

Step-by-step explanation:

URGENT!! WILL MAKE BRAINLIEST!! Enter your answer and show all the steps that you use to solve this problem and write your final answer in factored form in the space provided.

Simplify: (9x^3+2x^2-5x+4)-(5x3-7x+4)

Answers

Answer:

7x ( 103 - 1 )

Step-by-step explanation:

9x^3 + 2x^2 - 5x + 4 - 5 x 3 - 7x + 4

729x + 4x - 5x + 4 - 15 - 7x + 4

729x - 5x - 7x + 4x + 4 + 4 - 15

721x - 7

7x ( 103 - 1 )

a bag contains 3 green marbles, 5 blue marbles, and 8 red marbles and you ask a friend to pick one without looking. what if the probability that the marbles will be green?

Answers

Answer:

3/16, 18.75%, or 0.1875

Step-by-step explanation:

Add the colored marbles to find the total number of marbles:

3 + 5 + 8 = 16 marbles

We know there are 3 green marbles, so that will be our numerator for the fraction.

[tex]\frac{3}{16}[/tex]  is our answer. We can convert this into a percentage:

[tex]\frac{18.75}{100}[/tex][tex]=[/tex] 18.75%

Now, as a decimal:

0.1875

Can someone help me with this question? I’ll mark you brainliest if you answer!!!

Answers

Pretty sure it’s c, sorry if I’m wrong.

Jess is having a private party at the bowling alley. The party costs $99 plus $3 per person who attends. Which expression can Jess use to figure out the total amount of money she owes at the end of the party?

EXPLAIN YOUR ANSWER

33x

33+x

99+3x

99x+3

Answers

Answer:

99+3x

Step-by-step explanation:

99+3x completely shows the party's situation. $99 for the party itself "plus" $3 for everyother person who attends. A. 33x forgets the 99 dollars for the party, B. does the same except it adds the x variable, D is inccorect becuase it multiplies the other guest by 99 but they should be multiplied by 3.

I hope this helps! If so pleas emark brainliest and rate<33

Answer:

99+3x

Step-by-step explanation:

Given the following:

The party costs $99 plus $3 per person who attends.

To Solve:

Which expression can Jess use to figure out the total amount of money she owes at the end of the party?

Solution:

Since, we don't know the total amount of money she owes at the end of the party.  Total amount of money she owes at the end of the party = x

Hence, $99 plus $3 (x)

Which equal

99+3x

Also, 33x, 33 + x, and 99x+3 didn't clearly shows the party's situation given. Hence, the Best Answer is 99+3x

You can also refer to the picture below

~Learn with Lenvy~

Grace works as a salesperson at an electronics store and sells phones and phone accessories, and makes a fixed commission for each phone sale and a different fixed commission for each accessory sale. Yesterday Grace sold 18 phones and 21 accessories and made a total commission of $204. Today she sold 6 phones and 14 accessories and made a total commission of $82. Determine the price of each phone and the price of each accessory.

Answers

Answer:

phones = $9

accessories = $2

explanation:

x=phones

y=accessories

18x+21y=204

6x+14y=82

What is the value of 1/2 (4)

Answers

Answer:

2

Step-by-step explanation:

We are being asked to multiply the fraction 1/2 * 4

1/2 *4

4/2

Simplify by dividing the top and bottom by 2

2/1

2

please help me out !

Answers

Answer:

  NO

Step-by-step explanation:

Try the offered solution to see if it works

  y = 1/2x -7 . . . . for (x, y) = (-4, -5)

  -5 = 1/2(-4) -7 = -2 -7

  -5 = -9 . . . . . . false

The point does not satisfy the function. (NO)

An amount of $24,000 is borrowed for 7 years at 8.75% interest, compounded annually. If the loan is paid in full at the end of that period, how m
paid back?
Use the calculator provided and round your answer to the nearest dollar.

Answers

Answer:

43173

Step-by-step explanation:

24000(1.0875)^7 = 43173.39

Describe a system of equations that has infinitely many solutions.

Linear equations

Answers

Answer:

when the lines are coincident, and they have the same y-intercept

Step-by-step explanation:

(20 points, please help!) Using the diagram, what are the measures of angles 1, 2 and 3?

Answers

Answer:

angle 1 = 50°

angle 2 = 70°

angle 3 = 50°

Step-by-step explanation:

We know the top triangle equals 180 degrees.

angle 1 + 60 + 70 = 180

angle 1 + 130 = 180

angle 1 = 50

Because of parallel lines, we know that opposite angles will be equal.

What I mean by this is that angle 1 = angle 3 and angle 2 = 70 degrees.

angle 1 = 50°

angle 2 = 70°

angle 3 = 50°

What is the total cost of a $19. 98 item plus 7 percent sales tax

Answers

Answer:

Sales tax: $1.40

Step-by-step explanation:

did it on edge

A real estate builder wishes to determine how house size (House) is influenced by family income (Income), family size (Size), and education of the head of household (School). House size is measured in hundreds of square feet, income is measured in thousands of dollars, and education is in years. The builder randomly selected 50 families and ran the multiple regression. The business literature involving human capital shows that education influences an individual’s annual income. Combined, these may influence family size. With this in mind, what should the real estate builder be particularly concerned with when analyzing the multiple regression model?

Answers

When analyzing the multiple regression model, the real estate builder should be concerned with Multicollinearity.

What is Multicollinearity?

This is a phenomenon in regression analysis where some of the independent variables are correlated. This can present an issue because the correlation leads to less reliable results.

The income in this research is influenced by the education and they both influence family size. There is therefore an issue of multicollinearity here because some variables are correlated.

Find out more on Multicollinearity at https://brainly.com/question/16021902.

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