Nyah receives a chain letter and has to copy the letter and send it to 4 of her friends,


have to copy the letter and send it to 4 other friends, and so on.


Finding the number of letters sent on the nth mailing is an example of


a geometric sequence


COMPLETE


If everyone who receives a letter participates, how many letters will be sent on the si


54 X = 4,096


COMPLETE


By the sixth mailing, how many people will have participated since the start?


DONE


I need the last part

Answers

Answer 1

Answer:

1. Geometric sequence

2. 4,096

3. 5,460

Step-by-step explanation:

Part 1

Since the number of letters sent is multiplied by 4 for any subsequent term, the sequence is an example of a geometric sequence as it grows exponentially.

Part 2

Given a geometric sequence, the nth term is determined using the formula:

[tex]T_n=ar^{n-1},$ where r=common ratio, a=first term, n=number of terms[/tex]

In this case,

a=1 (i.e. Nyah)

r=4

Since we want to determine how many letters will be sent on the sixth mailing(i.e after Nyah), n=7

Substituting

[tex]T_6=1*4^{7-1}\\=4^6\\=4096[/tex]

Part 3

To determine how many people would have participated by the sixth mailing, we are required to find the sum of the first seven terms of the geometric sequence.

We use the sum of a geometric sequence formula

[tex]S_n=\dfrac{a(r^n-1)}{r-1} \\S_7=\dfrac{1(4^7-1)}{4-1} \\=\dfrac{16383}{3}\\\\=5461[/tex]

Therefore, excluding Nyah, 5460 people would have participated by the sixth mailing.

Answer 2

Answer:

1. Geometric sequence

2. 4,096

3. 5,460

Step-by-step explanation:


Related Questions

The width of a rectangle is the length minus 4 units. The area of the rectangle is 12 units. What is the width in units of the rectangle

Answers

Answer:

width = 2 units

Step-by-step explanation:

If the length of a rectangle is (x) units, then that means that the width of a rectangle is x - 4 units.

the area of a rectangle is length * width

so just substitute the values that we have now.

x (length) * (x-4) width = 12 (area of rectangle)

so that gives us

x^2 - 4x =12

subtract 12 from both sides

x^2 - 4x - 12 =0

now factor this equation

x^2 + 2x - 6x -12 = 0

x(x+2) - 6(x+2) = 0

(x-6)(x+2) = 0

x = 6, or x = -2 REMEMBER THAT VALUE OF x = LENGTH, IT CANNOT BE NEGATIVE AS YOU CANT HAVE NEGATIVE VALUE OF A SIDE

length = 6, and width = 6 -4 = 2

Answer:

W=2 units

Step-by-step explanation:

Length=L

Width=L-4

Area of a rectangle= L*W

L(L-4)=12

L^2-4L=12

L^2-4l-12=0

Now we have a quadratic equation

(L-6)(L+2)=0

L=6, L=-2

L cannot be -2 because it is negative, so L must be 6.

BUT it is asking for the width

and it is given that the width is the length minus 4 units, so

6-4= 2 units

SOMEONE, PLEASE HELP ME OUT!

Answers

Answer:

B

Step-by-step explanation:

Angle P and Angle Q are co- interior angles so they add up to 180 degrees

If angle P is 116, then:

116+ x= 180

(x= Angle Q)

x=180-116

x=64

What is the equation of a horizontal line passing through the point (-3, 8)?
Ox=-3
Oy=8
Ox= 5
Oy=-11

Answers

Answer:

Y=8

Step-by-step explanation:

A horizontal line is going to be parallel to the x-axis, so you need to use your y-value to determine the equation of the line. Your y-value in the coordinate (-3,8) is 8, so y=8

Answer: y = 8

Step-by-step explanation: Whenever we are given a line and the problem says that it's horizontal or a flat line, we know that the equation of the line will always be in the form "y = a number".

Since we are given that the y-coordinate is 8, that means that

the equation of this line will be y = 8.

What is the volume in cubic centimeters if the
pyramid has a height of 27 centimeters?

Answers

Answer:

The volume of the pyramid would be 4500 cm³.

Step-by-step explanation:

Formulas you would be using:

Volume of a pyramid: [tex]V = \frac{bh}{3}[/tex]  b = base, h = height

Area of a trapezoid: [tex]A = \frac{a+b}{2} h[/tex]  a = base₁ , b = base₂ , h = height

First, we're going to find the area of the trapezoid, which is the base of the pyramid.

We are given that a = 20, b = 30, h = 20

Plug it in:

[tex]\frac{20+30}{2} (20)[/tex] = 500 cm²

Now that we have found the base of the pyramid, we can plug it in along with the height of the pyramid.

[tex]V = \frac{(500)(27)}{3}[/tex] = 4500 cm³

Hope this helps :D

If b^p=N, then which of the following statements is also true?

Answers

it should be logb^N=p

Circle G:(x-14)^2+(y+12)^2=49 and Circle H:(x-18)^2+(y-8)^2=196. Describe a complete series of transformation from Circle G to Circle H.

Answers

Step-by-step explanation:

The equation

(x - a)² + (y - b)² = r²

describes a circle of radius r, with center at the point (a, b).

G is a circle of radius 7 units, centered at the point (14, -12).

H is a circle if radius 14 units, centered at the point (18, 8).

Answer:

Dilation

Step-by-step explanation:

The general form of a circle with center at (h, k) and radius r units is given as

(x - h)² + (y - k)² = r²

G is a circle centered at the point (14, -12) with radius 7 units.

G is dilated 4 units to the right on the x-axis, 20 units upwards on the y-axis, and 7 units on the radius to a circle H with center at the point (18, 8) and radius 14 units.

The math club surveyed 100 students about the number of math courses in which they were enrolled and the weight of their backpacks. Classify the random variables from the survey.
Number of math courses, discrete; weight of backpack, discrete
Number of math courses, discrete; weight of backpack, continuous
Number of math courses, continuous; weight of backpack, discrete
Number of math courses, continuous; weight of backpack, continuous
Unable to determine from information given

Answers

Answer:

number of math cpurses: discrete. weight of backpacks: continuous

Step-by-step explanation:

If Mitchell buys 3/10 of a pound of cream cheese and 3/10 of a pound of sour cream, how much will he spend?

plain yogurt $5 per pound​
sour cream $5 per pound​
Greek yogurt $3 per pound​
cream cheese $3 per pound​

Answers

Answer:

$2.40

Step-by-step explanation:

Take the price of each item and divide by ten to find the cost of 1/10:

3 divided by 10 = .3

5 divided by 10 = .5

Then multiply by the amount he is purchasing:

.3 x 3 = .9

.5 x 3 = 1.5

Add the prices together for a total:

.9 + 1.5 = 2.4

What is the greatest common factor for each group?

Answers

Answer:

Left group: [tex]2x^{5\\}[/tex]     Right group: 3

Step-by-step explanation:

Right group: 3.x - 21 = 3.x - 3.7 = 3 . ( x - 7 )

21 is equal 3 times 7. When we do this change, it is clear which is the common factor, which is just the number 3.

Left group: 2[tex]x^{6\\}[/tex] + 14[tex]x^{5\\} \\[/tex]  =  2[tex]x^{5\\}[/tex].x + 2[tex]x^{5}[/tex].7 = 2[tex]x^{5\\}[/tex] . (x + 7)

Explanation: From the first term we can take 2[tex]x^{5\\}[/tex] and an x is the rest. From the second term we take 2[tex]x^{5\\}[/tex] either, but here the rest is 14. That's the reason the common factor is 2[tex]x^{5\\}[/tex].

Find the volume of the composite space figure to the nearest whole number.

Answers

Answer:

180cm^3

Step-by-step explanation:

Simpson deposits $1,200 in a savings account that earns simple interest at the rate of 5%
per year. What interest does he earn at the end of 1 year?

Answers

Answer:

$60

Step-by-step explanation:

SI = (PRT)/100

SI = Simple Interest

P = Principal

R = Rate ( in decimal form)

T = Time

SI = (1200 x .5 x 1)/100

SI = 6000 / 100

SI = 60

PLEASE ANSWER QUICKLY!!!

You have a regular deck of 52 cards. You are wanting to draw a king, than an ace. You draw the first card, then replace it back into the deck. Have you created an independent or dependent event?

Answers

Answer:

Dependent Event

Step-by-step explanation:

Sorry if this was late!

(5×7) + 3 = 5 ×(2×7) true or false

Answers

Step-by-step explanation:

35 + 3 = 5 x 14

38 = 70

False

Answer:

false

Step-by-step explanation:

(5×7)+3

(35)+3

38

5×(2×7)

5×(14)

70

Which table represents of a linear function?

Answers

Answer:

X | Y

2 | 7

4 | 9     <-- linear.

6 | 11

8 | 13

A linear function is when there is an even consonant decline or up-rise.

X | Y

1  | 2

2 | 4 <-- also linear.

3 | 6

4 | 8

Pythagorean theorem:
Is a triangle with the following side lengths a right triangle? Why?
a = 4
b = 6
c = 8
Example:
This does/does not make a right triangle because...

Answers

Answer/Step-by-step explanation:

This does not make a right triangle because the Pythagorean Theorem shows that 4^2 + 6^2 does not equal 8^2.

16 + 36 = 64

52 doesn't equal 64.

Answer:

This does not make a right triangle because according to the pythagorean theorem, a^2+b^2=c^2. 16+36 does not equal 64, thefore, the triangle with the following sides is not a right triangle.

What is the area of the sector shown?

Answers

Answer:

D.~ 34.2~cm^2

Step-by-step explanation:

An arc measure of 20 degrees corresponds to a central angle of 20 degrees.

Area of sector of circle

area = \dfrac{n}{360^\circ}\pi r^2

where n = central angle of circle, and r = radius

area = \dfrac{20^\circ}{360^\circ}\pi (14~cm)^2

area = \dfrac{1}{18}(3.14159)(196~cm^2)

area = 34.2~cm^2

Answer:

60

Step-by-step explanation:

Which of the following number sentences is an example of the associative property of multiplication?

4 × 5 = 5 × 4
6 × 1 = 6
20 × (10 + 6) = (20 × 10) + (20 × 6)
(12 × 3) × 8 = 12 (3 × 8)

Answers

20 × (10 + 6) = (20 × 10) + (20 × 6)

(12 × 3) × 8 = 12 (3 × 8)

Use the table below.



If Sally is trying to keep her dinner under 500 calories, can she have a broiled sirloin, baked potato and salad and ½ cup fruit cocktail?

No
Yes

Answers

Yes. Broiled Sirloin:240 + Baked Potato:145 + salad:33 + fruit cocktail:57= 475

Answer:

Yes

Step-by-step explanation:

1/2 fruit cocktail—>57

broiled sirloin—>240

baked potato—>145

442 is the total so yes

One pound equals 0.45 kilogram. Cathy weighs 81.36 kilograms on the bathroom scales. Determine her weight in pounds.

Answers

Answer:

179.36 pounds

Step-by-step explanation:

Her weight in pounds is 180.8

Using this formula

Weight in pounds=Weighs in kilograms/pound in kilogram

Where:

Weighs in kilograms=81.36 kilograms

Pound in kilogram=0.45 kilogram

Let plug in the formula

Weight in pounds=81.36 kilograms/0.45 kilogram

Weight in pounds=180.8

Inconclusion Her weight in pounds is 180.8.

Learn more here:

https://brainly.com/question/24838943

Please help, I will mark you as brainliest. Please help, use the Pythagorean theorem to find the apothem of a regular hexagon with a side length of 8

Answers

Answer:

1.755

Step-by-step explanation:

Is 2x^2+5x^2-8 a monomial, binomial or trinomial?

Answers

Answer:

trinomial

Step-by-step explanation:

plus and minus signs separate terms.

2x^2 is a term

5x^2 is another term

-8 is another term.

The given algebraic expression is binomial.

The given expression is 2x²+5x²-8 (7x²-8).

We need to check whether the given expression is a monomial, binomial or trinomial.

What are the different types of algebraic expression?

The different types of algebraic expression are explained below:

Monomial: An algebraic expression which consists of one non-zero term only is called a monomial.

Binomial: An algebraic expression which consists of two non-zero terms is called a binomial.

Trinomial: An algebraic expression of three non-zero terms only is called a trinomial.

Now, the given expression 7x²-8 as two terms.

Therefore, the given algebraic expression is binomial.

To learn more about an algebraic expression visit:

https://brainly.com/question/19245500.

#SPJ2

What is the surface area of the square pyramid represented by the net below?

Answers

Answer:

64 cm^2

Step-by-step explanation:

Square: 4*4 = 16

Triangles: 4((4*6)/2))

       = 4(24/2)

       = 4(12)

       = 48

Add the square and triangles together

       = 16 + 48

       = 64

The total will be 64 cm^2

Answer: 64 cm2

Step-by-step explanation:

Please respond with the format showed on the picture so use . after the letter and display the answer.

Answers

Answer:

c

Step-by-step explanation:

(24 - 15) x 4 - 3 x 2

9 x 4 - 3 x 2

36 - 6

30

(10 points)
-22 + 31
= 2
Consider the equation 35 + 7
How do you begin isolating the variable x to one side of the equation?
The solution of the equation is
(IGNORE THE WRITEN QUESTION JUST LOOK AT THE PICTURE)

Answers

Step-by-step explanation:

Im not sure ut it looks like 3x over 3x would cancel eachother out.

Ellen’s dog has a pen that is 32 feet by 33 feet. What is the area of the dog pen? A rectangle with length 3 cubed feet and width of 3 squared feet. Find the area. 1. Multiply powers:    32 · 33 2. Expand each power:  (3 · 3) · (3 · 3 · 3) 3. Simplify:       35   Complete each sentence. The of the original exponent is the exponent in the power of product. The dog pen has an area of square feet.

Answers

Answer:

3^5 = 243 square feet

Step-by-step explanation:

Ellen’s dog has a pen that is 3² feet by 3³ feet. To find its area we follow the next steps:

1. Multiply powers:

A = 3² * 3³

2. Expand each power:

A = (3*3) * (3*3*3)

3. Simplify:

[tex]A = 3^5[/tex]

The addition of the original exponents is the exponent in the power of product. The dog pen has an area of [tex]3^5[/tex] square feet.

The area of Ellen's dog pen is [tex]\bold{3^5}[/tex]square feet.

The complete sentences are actually the way to solve the question and can be completed as mentioned below:

A rectangle with a length of 3 cubed feet and a width of 3 squared feet.

Find the area.

1. Multiply powers: Area = 3² · 3³

2. Expand each power: Area = (3 · 3) · (3 · 3 · 3)

3. Simplify: Area = [tex]\bold{3^5}[/tex]

The addition of the original exponents is the exponent in the power of the product. The dog pen has an area of [tex]\bold{3^5}[/tex] square feet.

Hence, the area of Ellen's dog pen is [tex]\bold{3^5}[/tex]square feet.

Learn more about the Area:

https://brainly.com/question/1631786

The grid you see below is in the shape of a rectangle. What is the area, in square
units, of the shaded part?​

Answers

Answer:

The area of the shaded region is [tex]18\ \text{units}^2[/tex].

Step-by-step explanation:

On the attached figure, a rectangle is shown. It is required to find the area of the shaded part. The shaded part forms a triangle. The area of a triangle is given by :

[tex]A=\dfrac{1}{2}\times b\times h[/tex]

b is base and h is height

From this figure, each box is a square of side 1 unit say.

Its height will be 4 units and its base is 9 units

So,

[tex]A=\dfrac{1}{2}\times 9\times 4\\\\A=18\ \text{units}^2[/tex]

So, the area of the shaded region is [tex]18\ \text{units}^2[/tex].

PLEASE HELP I DON'T HAVE ANYTIME LEFT!!!!
Which inequality is true? Use the number line to help.

A number line going from negative 2.5 to positive 2.5 in increments of 0.5.

Negative 1.5 greater-than 0.5
Negative 0.5 greater-than 0
Negative 1.5 less-than negative 0.5
One-half greater-than 0.5

Answers

Answer:

Negative 1.5 less than negative 0.5

Step-by-step explanation:

False, negative 1.5 would not be greater than 0.5 since negative 1.5 is a negative meaning it goes to the left of the zero, so it is less than 0.

False, negative 0.5 is again less than 0 so therefore it would not be greater.

False, one half is the same as 0.5 just in word form.

That means, negative 1.5 is less than negative 0.5 since it is further away from the 0.5 going to the left.

Answer:

C. –2.5 < –2

Step-by-step explanation:

Aiyanna and Rose have 42 cards to sign.Aiyanna signs 1/3 of the cards,while Rose signs 4/7.How many cards are left to be signed

Answers

Answer:  Rose

Step-by-step explanation:

Aiyanna.  1/3 of 42=  14.        1/3 =  7/21

Rose.       4/7 of 42 = 24       4/7 =  12/21    

Answer:

Aiyanna.  1/3 of 42=  14.        1/3 =  7/21

Rose.       4/7 of 42 = 24       4/7 =  12/21  

Step-by-step explanation:

Find the area and the circumference of a circle with radius 7 ft.
Use the value 3.14 for a, and do not round your answers. Be sure to include the correct units in your answers.
Areal
Circumference:

Answers

Answer:

circumfrence : 43.96 area :153.94

Step-by-step explanation:

Plz Help!
On the coordinate plane shown, each grid unit represents 10 feet. Polygon QRST has vertices Q(20, 10), R(−20, 10), S(−20, −20), and T(20, −20), and represents the floor plan of a room. Find the perimeter and area of the room.

Answers

Answer:

P  140 units

A  1200 units^2

Step-by-step explanation:

The length of the rectangle is 20 to -20 = 20 - -20 = 40 units

The width of the rectangle is 20 to -10 = 20 - -10 = 30 units

The perimeter is given by

P = 2 ( l+w) = 2 (40+30) = 2 (70) = 140 units

The area is given by

A = lw = 40*30 = 1200 units^2

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