write the next 3 numbers in this pattern. Then describe the rule for this pattern in an nth expression.

11 , 101 , 1001 , 10001,…

Answers

Answer 1

Answer:

An=10^n + 1 is the expression for the nth term.

Next three terms:

100001

1000001

10000001

Step-by-step explanation:

The number ot 0's imcrease between the two 1's starting at no zeros, 1 zero, two zeros, and so on...

So the next terms are 100001, 1000001, 10000001 and that's without finding the formula.

Now let's find the formula:

A1=11=10+1

A2=101=100+1

A3=1001=1000+1

Notice we have increasing powers of 10 and then just adding 1.

A1=10^1 +1

A2=10^2 +1

A3=10^3 +1

....

An=10^n +1


Related Questions

PLEASE HELP

Simplify by combining like terms.

2/3b - 2 3/4b =??


Answers

Step-by-step explanation:

the Anwer is 2-6b(3/4b) / 3b

Answer: -2[tex]\frac{1}{12}[/tex] b or -[tex]\frac{25}{12}[/tex] b

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] b - 2 [tex]\frac{3}{4}[/tex] b

= [tex]\frac{2}{3}[/tex] b - [tex]\frac{11}{4}[/tex] b

= [tex]\frac{8-33}{12}[/tex] b

= -[tex]\frac{25}{12}[/tex] b

= -2[tex]\frac{1}{12}[/tex] b

Om had a balance of 546 in his checking account. He made a deposit of $56, and wrote checks for $17 and $30. His bank charged him a $3 service fee. How much
honey does Om have in the account?

Answers

Answer:

540

Step-by-step explanation:

546-56=490

490+17+30=537

537+3=540

Convert 2 5/8 to a decimal

Answers

Answer:

2.625

Step-by-step explanation:

First convert mixed fraction to improper fraction,

=> 21/8

Then by normal division you will get,

=> 2.625

Help me solve this pls

Answers

Answer:

BC=40.16479

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj / hyp

cos 17 = BC / 42

42 cos 17 = BC

BC=40.16479

An arc length is a fractional part of the
circumference of a circle. The area of a
sector is a fractional part of the area of a
circle

The stained glass circle- head
the window has a 2 -inch wide
frame. The grills divide the
semicircular glass plane into
four congruent regions

Using detailed steps, describe your
solution to the problems below

Your steps should be clear enough so that
any geometry student can complete
them
A. Find the area of the blue region
B. Find the perimeter of the outer window
frame

Answers

Answer:

Each of the 4 sectors have an area:

πR²/8 - πr²/8, whereR = 28/2 - 2 = 12 inr = 6/2 = 3 in

Find the area:

A = π/8(12² - 3² ≈ 53 in²

Outer perimeter of the frame:

P = d + πd/2 =28( 1 + π/2) ≈ 72 in

Find the range of the data set. Round to the nearest tenth.​

Answers

Range = Highest - Lowest

Range = 23,950 - 6,950

Range = 17,000

Must click thanks and mark brainliest

Answer:

The range is 17000.

Step-by-step explanation:

How you find range is by finding the difference between the maximum and minimum number from the data set.

So, the maximum number is 23950 and minimum is 6950 from the data set.

23950 - 6950 = 17000.

Mary wants to get spray foam insulation in her attic space. Shown here is a diagram of her attic - how much spray foam does she need to buy

Answers

Answer:

455

Step-by-step explanation:

(1/2(10)(70))13

Mary needs to buy [tex]455~m^3[/tex] spray foam.

The correct answer is an option (B)

What is the volume of the triangular prism?

"Volume = base area × length,

where, Base area = area of triangle

Length = length(or height) of the triangular prism"

For given question,

Mary wants to get spray foam insulation in her attic space.

To find the amount of spray foam she needs to buy, we need to find the volume of the given triangular prism.

First we find the base area of the given triangular prism.

For a triangular base,

base = 7 m and height =  10 m

Using the formula of the area of the triangle,

[tex]A=\frac{1}{2}\times 7\times 10\\\\ A=7\times 5\\\\A=35~sq.m.[/tex]

Now, we find the volume of the triangular prism.

[tex]V=A\times l\\\\V=35\times 13\\\\V=455~m^3[/tex]

Therefore, she needs to buy [tex]455~m^3[/tex] spray foam.

The correct answer is an option (B)

Learn more about the volume of triangular prism here:

https://brainly.com/question/17004095

#SPJ2

PLEASE HELP!

Find an equation in standard form for the ellipse with the vertical major axis of length 16 and minor axis of length 10.

Answers

Refer the attached image for the answer

HOPE SO IT HELPS YOU

100 points please help... i think the answer is 288 pie squared but not sure
What is the surface area of a dome (a half sphere) with a radius of 12 meters?
576 pie meters squared
48 pie meters squared
288 pie meters squared
96 pie meters squared

Answers

9514 1404 393

Answer:

  (c) 288π m²

Step-by-step explanation:

The area of a sphere is found using the formula ...

  A = 4πr²

Then the area of a half-sphere with radius 12 m will be ...

  A = (1/2)(4π)(12 m)² = 288π m²

can you help me with this please.

Answers

Answer:

98 is the answer

Step-by-step explanation:

you add 8 each time

Answer:

a₁₃ = 98

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = a₂ - a₁ = 10 - 2 = 8 , then

a₁₃ = 2 + (12 × 8) = 2 + 96 = 98

what is the ratio of the surface area to the volume of a cube with sides length 5

Answers

Answer:

6 : 5

Step-by-step explanation:

Volume of a cube = s^3

5^3 = 125

Surface area of a cube = 6s^2

6(5^2) = 6(25) = 150

150 : 125

30 : 25

6 : 5

2+ (-3)^2 - (-1)

please explain! :3

Answers

Answer:

12

Step-by-step explanation:

Hello!

First of all you have to understand the order of operations.

PEMDAS

Parenthesis, Exponent, Multiplication/Divison, Addition, Subtraction.

From this you can see that we first have to deal with the exponent, then multiplication, then the addition.

So we get 2+9-(-1)

The 9 is from -3^2

2+9+1

11+1

12.

Hope this helps!

A. What are the approximate coordinates of the point of intersection of the two
graphs? What does this mean in terms of the two mold populations?

B. The area of mold A is given by the function Ad) = 100 -0.25 .When will this
mold cover 1000 square millimeters? Explain your reasoning.

Answers

The two mold populations are equal after 4.5 years and the number of days is 9.2

Calculating the approximate coordinates of intersection

From the question, we have the following parameters that can be used in our computation:

The graph

On the graph, we have the point of intersection to be

(x, y) = (4.5, 3)

The means that the two mold populations are equal after 4.5 years

Estimating when the moid will cover 1000 sq ml

Given that

A(d) = 100e⁰.²⁵ᵇ

We have

100e⁰.²⁵ᵇ = 1000

Divide by 100

e⁰.²⁵ᵇ = 10

So, we have

0.25d = ln(10)

Evaluate

0.25d = 2.3

Divide

d = 9.2

Hence, the number of days is 9.2


Read more about exponential functions at

https://brainly.com/question/2456547

#SPJ1

use trigonometry to find the unknown side (round to 1 decimal)​

Answers

Answer:

a = 7.5

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin30° = [tex]\frac{1}{2}[/tex] , then

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{a}{15}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2a = 15 ( divide both sides by 2 )

a = 7.5

An aircraft carrier can travel 450 km in the same time a container ship travels 300 km. If the aircraft carrier was travelling 5 km/h faster what was the speed of the container ship?

Answers

Answer:

10 Km/h

Step-by-step explanation:

Let the speed of the container ship be y

The speed of the aircraft = y + 5

Next, we shall determine the time taken by the aircraft to travel 450 Km. This can be obtained as follow:

Speed of aircraft (Sₐ) = y + 5

Distance travelled (dₐ) = 450 Km

Time for aircraft (tₐ) =?

Speed = distance / time

Sₐ = dₐ / tₐ

y + 5 = 450 / tₐ

Cross multiply

(y + 5) × tₐ = 450

Divide both side by (y + 5)

tₐ = 450 / (y + 5)

Finally, we shall determine the speed of the carrier. This can be obtained as follow:

Speed of container ship (S꜀) = y

Distance travelled (d꜀) = 300 Km

Time for container ship (t꜀) = Time for aircraft (tₐ)

Time for aircraft (tₐ) = 450 / (y + 5)

t꜀ = tₐ

t꜀ = 450 / (y + 5)

Speed = distance / time

S꜀ = d꜀ / t꜀

y = 300 ÷ 450 / (y + 5)

y = 300 × (y + 5) / 450

y = (300y + 1500) / 450

Cross multiply

450y = 300y + 1500

Collect like terms

450y – 300y = 1500

150y = 1500

Divide both side by 150

y = 1500 / 150

y = 10 Km/h

Thus, the speed of the container ship is 10 Km/h.

PLEASE HELPPP

Below is a function. Create an input/output table for the function. Choose 4 different inputs and complete the table.

y=2x-1

Answers

Answer:

y x

-1 0

1 1

3 2

5 3

This is a table that follows the above function

2 1/2 + 3 1/4 = ? pls

Answers

Answer:

5  [tex]\frac{3}{4}[/tex]    

Step-by-step explanation:

2 [tex]\frac{1}{2}[/tex] + 3 [tex]\frac{1}{4}[/tex]

= (2 + 3) + [tex]\frac{1}{2} + \frac{1}{4}[/tex]    Here we add the two whole numbers first

= 5 +  [tex]\frac{1}{2} + \frac{1}{4}[/tex]

= 5 + [tex]\frac{2}{4} +\frac{1}{4}[/tex]      Here you bring the two fractions to a common denominator     and to to this you find the highest common factor of the denominators.

= 5 + [tex]\frac{3}{4}[/tex]       Here we added 1/4 and 2/4

= 5  [tex]\frac{3}{4}[/tex]    This is the answer simply add 5 and 3/4

HOPE THIS HELPED

Answer:

Step-by-step explanation:

Your answer is 5 3/4


[tex]integrate \: ln(x) [/tex]

Answers

Answer:

ln(x) = 1/x... It's a basic rule of Calculus.

Find the perimeter.
8.2 in.
2.8 in.
3.4 in.
4.5 in.
7.1 in.
10.8 in.
Enter

Answers

Answer:

36.8

Step-by-step explanation:

Perimeter is the addition of each side.

8.2 + 4.5 + 7.1 + 10.8 + 3.4 + 2.8

^        ^

  12.7 + 7.1

  19.8 + 10.8

  30.6 + 3.4

   34 + 2.8

        36.8

Hope this helped.

Answer:

36.8 in

Step-by-step explanation:

Perimeter is the sum of length of all sides of the figure

Perimeter=8.2+10.8+4.5+7.1+2.8+3.4=36.8


Use the figure to find the Total Area.

Answers

Answer:

60

Step-by-step explanation:

Multiply length times width times height

Answer:

C or 104

Step-by-step explanation:

I assume this is surface area, and I don't know what kinda sadist person would make everyone learn in "Total Area," but it is what it is.

So, to find total area, we need to literally multiply every different number with the other.

(You should not do it the way I did, as I did it in the easiest and simpliest way to understand possible.)

Actually, you get the length, width, and height of a figure and do what is below pretty much.

You multiply the length by the width, the length by the height, and the width by the height (doesn't have to be in this order, this is just to make it easy to remember which ones you did.)

We multiply the

5 * 6

5 * 2

and then the

6 * 2

This accounts for every possible case, as multiplying 2 * 5 gives the same thing as the second expression anyways.

So we then solve these three expressions.

5 * 6 = 30

5 * 2 = 10

and then the

6 * 2 = 12

And we add them to get

30 + 10 + 12

= 52.

Then we multiply by 2, because there are two cases of each face of the shape.

You need to remember that there is 3 other faces on the shape you are looking at, it's just that the shape/figure is facing you in a way that you can't see them.

After multiplying by 2, we get

52 * 2

= 104, which is C.

TAKE A SCREENSHOT NOT A PICTURE AS WE DON'T NEED TO SEE SOME 420P MONITOR FROM 1987 THAT SHOWS EVERY PIXEL PLEASE AND THANK YOU :D

the width of a rectangle is twice as long as the length. if the length is increased by 50% and the width is decreased by 20%, the perimeter becomes 248. find the width and length of the original rectangle.

Answers

Answer: 80, 40

Step-by-step explanation: I just made an equation which went something along the lines Of 3.1x=248 , then you get 80, then 40.

Martina is recording the percentages she earned on each quiz in her math class. Here are her results for the last 7 quizzes.
74, 64, 90, 74, 92, 68, 71
Find the range of the data set.

=___

Answers

Answer:

28

Step-by-step explanation:

Subtract highest number from lowest.

92-64 = 28

*Write a linear equation that goes through the points (-2,6) and (1,1).

Answers

Answer:

Equation of the line is 3y = -5x + 8

Step-by-step explanation:

Slope:

[tex]{ \bf{m = \frac{y _{2} - y _{1} }{x _{2} - x _{1} } }}[/tex]

substitute:

[tex]{ \sf{m = \frac{1 - 6}{1 - ( - 2)} }} \\ { \sf{m = - \frac{5}{3} }}[/tex]

General equation of a line:

[tex]{ \boxed{ \pmb{y = mx + b}}}[/tex]

b is the y-intercept.

Consinder point (1, 1):

[tex]{ \sf{1 = ( - \frac{5}{3} \times 1) + b}} \\ { \sf{b = \frac{8}{3} }}[/tex]

Substitute:

[tex]{ \sf{y = - \frac{5}{3} x + \frac{8}{3} }} \\ \\ { \sf{3y = - 5x + 8}}[/tex]

Please help me solve this quickly! Will give brainliest!

Answers

Answer:

y = 5[tex]\sqrt{6}[/tex]

Step-by-step explanation:

JLT forms the special 90-60-30 right triangle and the side length for the given measure follows as 2a-a[tex]\sqrt{3}[/tex]-a

since the side length that sees 90 degrees is 10 then x = 5

according to Euclidian theorem :

y^2 = LK*KI (LK = 15 -x, KI = 15)

y^2 = 10*15

y^2 = 150 find the root for both sides

y = 5[tex]\sqrt{6}[/tex]

pls somebody help me wth this

Answers

Answer:

8 puzzles, and 840 pieces

Step-by-step explanation:

420 / 4 = 105

630 / 6 = 105

Option 2 is the correct answer,

Reason

840 / 8 = 105

8 puzzles and 840 pieces

frank bought 3 action figures 2 board games and 3 toy cars at the toy store . The action figure coast 1.95$ each, the board games coast 5.10$ a piece and the toy cars were 1.00$ if he paid with a twenty dollar bill, how much change should he get back?

Answers

Answer:

-5

Step-by-step explanation:

A rectangle with an area of 3990 cm2 is x centimeters wide and (x+4) centimeters long. To the nearest tenth of a centimeter, the width and length are

Answers

Answer: width:60.2 cm

Length: 64.2 cm

Step-by-step explanation:

Given

The area of the rectangle is [tex]3990\ cm^2[/tex]

Width of the rectangle is [tex]x\ cm[/tex]

Length of the rectangle is [tex]x+4\ cm[/tex]

Area of the rectangle is the product of length and width

[tex]\therefore 3990=(x+4)x\\\Rightarrow 3990=x^2+4x\\\Rightarrow x^2+4x-3990=0\\\Rightarrow x=60.198\ or\ -65.198\ cm\\\text{Neglecting negative term}\\\Rightarrow x=60.198\approx 60.2\ cm[/tex]

Width of the rectangle is [tex]60.2\ cm[/tex]

Length of the rectangle is [tex]60.2+4=64.2\ cm[/tex]

I need this quick please

Answers

Answer:

Note the same measures marked in the picture.

(8)

EF = EG = 3

(9)

AG = AE + EG = EB + EG = 8 + 3 = 11

(10)

AD =FA - DF = FA - EG = 7 - 3 = 4

(11)

m∠EFG = m∠EGF = 28

(12)

DF = EF = 3

The dimension of a rectangle are given in base 2.The width is 10 base 2 cm and the length 11 base 2 cm.Find the perimeter​

Answers

Answer:

2l+2w

2 (11) +2 (10)

22+20

42

Mar-Vell Studios' blockbuster movie Gray Widow: It's About Time She Got a Movie premiered last weekend simultaneously in theaters and on streaming video. On opening weekend, the total revenue from the movie was $127,265,468, with the movie making 75% more revenue in theaters than it did via streaming video. How much money did Gray Widow make in theaters on opening weekend

Answers

Answer:

Gray Widow made $111,357,284.5 in theaters on opening weekend.

Step-by-step explanation:

75% more revenue in theaters than it did via streaming video.

The sum of the revenues is 100%.

So the theaters were responsible for the following percentage:

[tex]P = 50 + \frac{75}{2} = 50 + 37.5 = 87.5[/tex]

How much money did Gray Widow make in theaters on opening weekend?

87.5% of the total revenue, that is, 0.875 out of $127,265,468.

0.875*127,265,468 = $111,357,284.5

Gray Widow made $111,357,284.5 in theaters on opening weekend.

Other Questions
Points B, A, and E are:A. coplanar and non-collinearB. collinear and coplanarC. non-collinear and non-coplanarD. collinear and collinear I. En un laboratorio se hizo reaccionar una disolucin de cido sulfrico (H2SO4) con otra de hidrxido de sodio (NaOH), ambos acuosos. Para formar sulfato de sodio (Na2SO4) y 2 molculas de agua (H2O) lquido. Completa en relacin con la ecuacin qumica que representa la reaccin: Can anyone help me please Is the following sentence grammatically correct or a run-on?The baseball game wore on for nearly four hours; we didn't leave the stadium until midnight.Select one:a. Correctb. Run-on Consecuencias del movimiento 14 de junio ? 1. What changes did the National Security Act of 1947 make to the way theUnited States organized its military and gathered information? (7 points) Pick a sentence from the story that shows that Vera was blessed with presence of mind What is the slope of the line whose equation is y=4+x? What is the solution to the system of equations?y = A system of equations. y equals StartFraction 2 over 3 EndFraction x plus 3. x equals negative 2.x + 3x = 2(negative 2, negative StartFraction 15 over 2 EndFraction)(negative 2, StartFraction 5 over 3 EndFraction) (negative 2, StartFraction 11 over 6 EndFraction) (negative 2, StartFraction 13 over 3 EndFraction) A dehydration reaction starting with 3.0 g cyclohexanol produces 1.9 g cyclohexene. Calculate the theoretical yield for this reaction. Report your answer with two significant figures. Crees que el cisma entre la Iglesia Catlica Romana y la Iglesia Ortodoxa Oriental alguna vez se sanar y las dos iglesias se reunirn? Por qu o por qu no? A backbone network is Group of answer choices a high speed central network that connects other networks in a distance spanning up to several miles. a group of personal computers or terminals located in the same general area and connected by a common cable (communication circuit) so they can exchange information. a network spanning a geographical area that usually encompasses a city or county area (3 to 30 miles). a network spanning a large geographical area (up to thousands of miles). a network spanning exactly 200 miles with common carrier circuits. A car travelling at 14.0 m/s approaches a traffic light. The driver applies the brakes and is able to come to halt in 5.6 s. Determine the average acceleration of the car during this time interval. Finding an angle measure Please help 20 points an will give Brainiest to who ever is right Find 0. Round to the nearest degreeA. 26B. 66C. 64D. 24 P.S. help quick Thank you xWhich choice is true of collagen fibers?A They are found in the epidermisBThey provide structural support to the integumentThey provide an ability of the skin to stretch and retain its shapeDThey create the dermal papillae A 53 year old man presents with increasing gastric pain and is found to have a 3 cm mass located in the anterior wall of his stomach. This mass is resected and histologic examination reveals a tumor composed of cells having elongated, spindle-shaped nuclei. The tumor does not connect to the overlying gastric epithelium and is instead found only in the wall of the stomach. The tumor cells stain positively with CD117, but negatively with both desmin and S-100. Special studies find that these tumor cells have abnormalities of the KIT gene. Which of the following is the most likely diagnosis?a. Lymphoma of mucosa-associated lymphoid tissue (MALToma)b. Ectopic islet cell adenoma (VIPoma)c. Gastrointestinal stromal tumor (GIST)d. Submucosal leiomyoma ("fibroid tumor")e. Nonchromaffin paraganglioma (chemodectoma) Given the function R(x)=x+3/x5, find the values of x that make the function greater than or equal to zero. Write the solution in interval notation.