why mathematical induction is used ?(write a 100 words paragraph)​

Answers

Answer 1

Answer:

Mathematical induction is a method of mathematical proof typically used to establish that a given statement is true for all natural numbers ( non-negitive integers). The simplest and most common form of mathematical induction proves that a statement involving a natural number that holds for all values.


Related Questions

A pizza is cut into 3 slices. The first piece was 2over 9 and the second one was 2 over 7. How big or small was the last piece

Answers

Answer:

2/5

Step-by-step explanation:

ok

There is a Chick-fil-a exactly 6 miles due east of Berkmar Middle School. There is also a Wal-Mart 6 miles due north of Berkmar Middle School. How far is the Chick-fil-a from the Wal-Mart? Leave your answer in its simplest radical form.

Answers

Answer:

6√2 miles

Step-by-step explanation:

Using the solution diagram drawn :

We have a right angled triangle, the distance between Walmart mad chick-FIL is a measure of the hypotenus of the right angled triangle ;

The hypotenus, = √(opposite² + adjacent²)

Hypotenus = √6² + 6²

Hypotenus = √(36 + 36)

Hypotenus = √72

Hypotenus = √36 * 2 = √36 * √2 = 6√2 miles

Help plz I’m confused

Answers

Answer:

C.

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] is between 0 and 1

Only 1 point is between 0 and 1

C.

The answer is point C. 2/3 is a fraction between 0 and 1. And since point C is between 0 and 1, then the answer is point C

Resuelve
Una cadena de gasolineras realizará un sorteo, para lo cual entrega un boleto a cada uno de sus
clientes. En la ciudad de Nogales se repartieron 5/40 del total de los boletos, en ciudad Obregón 1/4, en
Hermosillo 4/16 y en la Ciudad de Guaymas 3/8 ¿en qué ciudad es más probable que viva el ganador?)

Answers

Answer:

Es un 37.5% probable que el ganador viva en la Ciudad de Guaymas.

Step-by-step explanation:

Dado que una cadena de gasolineras realizará un sorteo, para lo cual entrega un boleto a cada uno de sus clientes, y en la ciudad de Nogales se repartieron 5/40 del total de los boletos, en ciudad Obregón 1/4, en Hermosillo 4/16 y en la Ciudad de Guaymas 3/8, para determinar en qué ciudad es más probable que viva el ganador se deben realizar los siguientes cálculos:

Nogales = 5/40 = 1/8 = 0.125

Obregón = 1/4 = 0.25

Hermosillo = 1/4 = 0.25

Guaymas = 3/8 = 0.375

Por lo tanto, es un 37.5% probable que el ganador viva en la Ciudad de Guaymas.

Según las proporciones,  hay que es más probable que el ganador viva en Guaymas.

En la ciudad de Nogales se repartieron 5/40 del total de los boletos, por eso la proporción es [tex]\frac{5}{40} = 0.125[/tex]El la ciudad de Obregón 1/4, o sea, la proporción es [tex]\frac{1}{4} = 0.25[/tex].El la ciudad de Hermosillo 4/16, o sea, la proporción es [tex]\frac{4}{16} = 0.25[/tex].En la ciudad de Guaymas 3/8, o sea, la proporción es [tex]\frac{3}{8} = 0.375[/tex].

Por la proporción mas alta, es más probable que el ganador viva en Guaymas.

Un problema similar es dado en https://brainly.com/question/24615636

which of these expressions is equivalent to to 7(x+3)​

Answers

Well you didn’t post the options but when you expand that expression it’s 7x + 21. Hope that helps!

On expanding the expression, we get - 7x + 21.

We have the following expression -

f(x) = 7(x + 3)

We have to write its equivalent expression.

Expand : f(x) =  [tex]$\pi (\sqrt{x} + 5)[/tex]

Expanding we get -

f(x) = [tex]$\pi \sqrt{x} + 5\pi[/tex]

According to the question, we have -

7(x + 3)

On expanding, we get -

7(x + 3) = 7x + 21

Hence, on expanding the expression, we get - 7x + 21.

To solve more questions on expanding expressions, visit the link below -

https://brainly.com/question/12308727

#SPJ2

what are the integers from 6 to 25​

Answers

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

Answer:

The integers from 6 to 25 are [tex]\large\bold{7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22,23, 24}[/tex]

Step-by-step explanation:

Natural numbers are numbers that are greater than 0 (all numbers starting from positive 1). All natural numbers are integers. So, in this case integers = natural numbers (note :- only in this case)

Easy please help me with this assignment

Answers

Step-by-step explanation:

y=x may be

may it helped u ....

It’s actually the last equation (I)
If u plug in the x coordinate in the table (eg.2) into the equation y=3x-2, you are left with y=3(2)-2 which equals 6-2=4
So y=4
Checking the corresponding value for that x value, the y value is 4 so the equation is correct.

What's 1/24 + 4/8 simplified? ​

Answers

Answer:

13/24

Step-by-step explanation:

1/24 + 4/8

first make denominator equal

1/24 + 4*3/8*3

1/24 + 12/24 = 13/24

then check if it can be further simplified

13/24

It cannot so you're done!

Hope this helps!

Answer:

13/24

Step-by-step explanation:

reduce the frcation with 4

1/24 + 1/2

write all numerators above the least common denominator 24

1+12/24

Calcuate 1+12/ 24

which = 13/24

Average U.S. income is usually reported as
income.
a.
b.
seasonally adjusted
virtual
mean
C.
d.
median​

Answers

I think it’s mean :))

Help please!
Fully factorise

Answers

Answer:

a.8y³-6y

taking common

2y(4y²-3)

is a required answer

b.

3x²-20x+12

doing middle term factorization

3x²-18x-2x+12

3x(x-6)-2(x-6)

(x-6)(3x-2)

is a required answer .

a. 2y(4y^2-3)

B (x-6) -2 (x-6)

Seventy-six percent of the light aircraft that disappear while in flight in a certain country are subsequently discovered. Of the aircraft that are discovered, 67% have an emergency locator, whereas 88% of the aircraft not discovered do not have such a locator. Suppose a light aircraft has disappeared. (Round your answers to three decimal places.)

Required:
a. If it has an emergency locator, what is the probability that it will not be discovered?
b. If it does not have an emergency locator, what is the probability that it will be discovered?

Answers

Answer:

a. 0.0535 = 5.35% probability that it will not be discovered

b. 0.9465 = 94.65% probability that it will be discovered

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

a. If it has an emergency locator, what is the probability that it will not be discovered?

Event A: Has an emergency locator.

Event B: Not discovered.

Probability of having an emergency locator:

67% of 76%(discovered).

100 - 88 = 12% of 100 - 76 = 24%(not discovered). So

[tex]P(A) = 0.67*0.76 + 0.12*0.24 = 0.538[/tex]

Probability of having an emergency locator and not being discovered:

12% of 24%. So

[tex]P(A \cap B) = 0.12*0.24[/tex]

Desired probability:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.12*0.24}{0.538} = 0.0535[/tex]

0.0535 = 5.35% probability that it will not be discovered.

b. If it does not have an emergency locator, what is the probability that it will be discovered?

Event A: Has an emergency locator.

Event B: Discovered.

Probability of having an emergency locator:

67% of 76%(discovered).

100 - 88 = 12% of 100 - 76 = 24%(not discovered). So

[tex]P(A) = 0.67*0.76 + 0.12*0.24 = 0.538[/tex]

Probability of having an emergency locator not being discovered:

67% of 76%. So

[tex]P(A \cap B) = 0.67*0.76[/tex]

Desired probability:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.67*0.76}{0.538} = 0.9465[/tex]

0.9465 = 94.65% probability that it will be discovered

If the measure of arc CB is 8/3 units, what is the measure of CAB?

Answers

Question:

If the measure of arc CB is [tex]\frac{8}{3} \pi[/tex] units, what is the measure of ∠CAB?

Answer:

120°

Step-by-step explanation:

The figure has been attached to this response.

The figure shows a circle centered at A and has a radius of 4 units.

Also, the length of the arc CB (as given in the question) is  [tex]\frac{8}{3} \pi[/tex] units.

The length L of an arc is given by;

L = [tex]\frac{\beta }{360} * 2\pi * r[/tex]         -----------------(i)

Where;

β = angle subtended by the arc at the center of the circle and measured in degrees

r = radius of the circle

From the question;

β = ∠CAB

r = 4 units

L =  [tex]\frac{8}{3} \pi[/tex]

Substitute these values into equation (i) as follows;

[tex]\frac{8}{3} \pi[/tex] = [tex]\frac{\beta }{360} * 2\pi * 4[/tex]

=>  [tex]\frac{8}{3} \pi[/tex] = [tex]\frac{\beta }{360} * 8\pi[/tex]

Cancel 8[tex]\pi[/tex] on both sides    

[tex]\frac{1}{3}[/tex] = [tex]\frac{\beta }{360}[/tex]

Cross multiply

3 x β = 360 x 1

3β = 360

Divide both sides by 3

[tex]\frac{3\beta }{3} = \frac{360}{3}[/tex]

β = 120°

Therefore, the measure of ∠CAB is 120°

Jenna just got done jumping at the Trampoline center. The total cost of the session was $15.23

She had to pay an entrance fee of $7.25 and $1.45 for every minute she was on the trampoline.

Answers

Answer:

≈ 5.5 minutes.

Step-by-step explanation:

Let m = number of minutes on the trampoline.

[tex]1.45m+7.25=15.23\\1.45m=7.98\\m=5.5[/tex]

She was on the trampoline for approximately 5.5 minutes.

Answer:

= 5.5 minutes

Step-by-step explanation:

1.45  + 7.25  = 15. 23

1. 45 = 15. 23 - 7. 25

1. 45 = 7 . 98

m = 5.5

Hope this answer helps you :)

Have a great day

Mark brainliest

Keke's favorite book weighs 2lbs 14oz. How many total ounces does her book weigh? * ​

Answers

Answer:

i think it is 46

Step-by-step explanation:

Answer:

2.9lbs

Step-by-step explanation:

there are 14oz in a pound so 14/16 is 0.875. Rounded up to .9lbs.

Write a number in which the digit 1 is worth 10 times as much as it is in 62,901

Answers

Answer:9

Step-by-step explanation:

No step

Answer:

the answer for this is 1

Step-by-step explanation:

cause ten times of 1 is 1.

Please don't confuse yourself with

1 times of 10.that one is 10

ten times of 1, means 1×1×1×1×1×1×1×1×1×1 it is still 1.

the second one is 10 ×1 =10.

Find the 66th term of the arithmetic sequence -28,-45,-62

Answers

Answer:

Using the formula

an = a of 1 + (n-1)(d)

an = -28 + (n-1)(-17)

simplify

an = -17n - 11

Now that we have the formula, we just plug in 66 for n

a66 = -17(66) - 11

a66 = -1133

6 1/8 qt = ___ c please help

Answers

Answer:

24 1/2 cups

Step-by-step explanation:

we can change 6 1/8 into 49/4

there are 2 cups in 1 quart

now we can set up a proportion:

2÷1 = 'c'÷ 49/4

cross-multiply to get:

49/4 × 2 = c

49/2 = c

c = 24.5

For brainlest pls ……..

Answers

Answer:

4.5 cm²

Step-by-step explanation:

The given shape is a parallelogram , and the area of a parallelogram is ,

Area :-

1/2 * b * h

So , that,

=> A = 1/2 * 2.5 * 1.8

=> A = 4.5 cm²

Answer:

A = 4.5 m²

Step-by-step explanation:

The area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the perpendicular height )

Here b = 2.5 and h = 1.8 , then

A = 2.5 × 1.8 = 4.5 m²

please answer ASAP (math)

Answers

Answer: Undefined

Step-by-step explanation:

Replace x with -5

What is the 11th term of the geometric sequence with this explicit formula?
an = 5.(-2)(n-1)

Answers

Answer:

5,120

Step-by-step explanation:

an = 5.(-2)^(n-1)

a11 = 5.(-2)^(11-1)

= 5.(-2)^10

= 5.(1,024)

= 5,120

What type of solution would tho following system have?
y=(9/3)x-2
y=3x-2

One Solution

No Solution

Infinite Solutions

Answers

Answer:

one solution I think is the answer

One solution I really hope this help

Find the volume of the sphere. Round your answer to the nearest tenth.

Answers

Answer:

D. 268.1 m³

Step-by-step explanation:

Volume =  4/3 * 3.14 * 4³

Volume = 4/3 * 201

Volume = 268 ≈ 268.1

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Convert the fraction greater than one into a mixed number 9/4

Answers

Answer: 2 1/4

Step-by-step explanation:

explanation would really help​

Answers

Answer:

35

Step-by-step explanation:

the whole line is 49 and line DB is 30.

minus 16 from 30 so 30-16=14

then you minus line CB from EB so 49-14=35

that makes line EC 35

The screen at Dallas’ AT&T Stadium is 175 feet wide. A movie theatre screen with similar dimensions is 40 feet wide with a screen area of 896 ft². What is the area of the screen at AT&T Stadium? Round to the nearest square foot.

Answers

Answer: The area of the screen at AT&T Stadium = 17150 square foot.

Step-by-step explanation:

When two shapes are similar then,

[tex]\dfrac{(\text{Side of first shape})^2}{(\text{Side of second shape})^2}=\dfrac{\text{area of first shape}}{\text{area of second shape}}[/tex]

As per given , we have

[tex]\dfrac{(175)^2}{(40)^2}=\dfrac{\text{Area of AT}\ \&\text{T Stadium }}{896}\\\\\Rightarrow\ \text{Area of AT}\ \&\text{T Stadium }=\dfrac{30625}{1600}\times896\\\\\Rightarrow\ \text{Area of AT}\ \&\text{T Stadium }=17150[/tex]

Hence, the area of the screen at AT&T Stadium = 17150 square foot.

Watch help video
Solve for 2. Round to the nearest tenth, if necessary.
5-3
O
52
х
N

Answers

Answer:

x = 3.3

Step-by-step explanation:

Reference angle = 51°

Hypotenuse = x

Adjacent = 5.3

Apply trigonometric function CAH, which is:

Cos 51° = Adj/Hyp

Cos 51° = 5.3/x

x*Cos 51° = 5.3

x = 5.3/Cos 51°

x = 3.3 (nearest tenth)

What is the outlier in the set of data? (2,4,6,8,9,9,45)​

Answers

Answer:

45

Step-by-step explanation:

This is the outlier because it is much larger than all of the other numbers in the set.

Which point on the x-axis lies on the line that passes through point P and is perpendicular to line MN?

Answers

Answer:

What is 1/3 of 814

Step-by-step explanation:

What is 1/3 of 814

Answer: I think C

Step-by-step explanation:

A tortoise is walking in the desert. . It walks for 7 minutes at a speed of 8.75 meters per minute. For how many meters does it walk ?

Answers

Answer: 61.25 meters

8.75meters x 7mins= 61.25 meters

Step-by-step explanation:

Well it would be 8.75 ×7 which is 61.25m

Solve P = 8/3 R + 30 for R.

Answers

Answer:

R = (3P-30)/8

Step-by-step explanation:

subtract 30 from each side to get:

P-30 = [tex]\frac{8}{3}[/tex]R

multiply each side by [tex]\frac{3}{8}[/tex] to get:

[tex]\frac{3}{8}[/tex] · P - 30 = R

R = (3P-30)/8

Other Questions
any substance that contaminates the environment? a)alien b)pollutant c)algae d)oil GWhich of the following basic nutrients does NOT contain any calories?A. proteinB. carbohydratesC. waterD. fatPlease select the best answer from the choices provided.B Margo borrows $200, agreeing to pay it back with 2% annual interest after 16 months. How much interest will she pay? Judging by appearance, classify the figure in as many ways as possible. Angela is the president and majority shareholder of Calypso Corporation, a publicly traded company. Angela recently purchased (without the knowledge of other shareholders) a vacation home for her family and vehicles for her children under the name of the corporation. The children are not employees of Calypso. In a lawsuit brought against Calypso, the court disregarded the corporate entity because it Which of these tables represents a function?(Pleasee it's urgent!!!!))) Example of official letter in a complaint letter? Select the correct answer.What is the mood of the poem?A. indignantB. doubtfulC. overwhelmedD. conciliatoryTEXTfrom The Black Mans Plea for Justiceby Ephraim David TylerHear me, statesman,I am pleading to defendThe black mans cause.Will you give me the protectionto outline your laws?Will your lawyers plead my casesin your courts?Am I not a citizen?I pay dear for transportationover all your railroad track.I come up to every requirementand I will always pay my tax.And when I dont fill in blanks correctly,will you kindly teach me how?Ruling power of this nation,will you give me justice now?I prepared your wedding supperand I dug your fathers grave.I did everything you asked mejust because I was your slave.I helped build your great bridgesand I laid your railroad steel.Oh, I been a mighty powerin your great financial wheel.And when I dont do jobs correctlywill you kindly teach me how?Ruling power of this nationwill you give me justice now? help me!!!!! plzzz Which state has the most fixed shape?O A. GasO B. SolidO C. LiquidO D. Plasma Which is a quadratic equation?a. y=x+9b. y=2x-15c. y=x^2+2x-7d. y=x^3-x^2 You might need:CalculatorKenji runs a channel where he uploads and shares videos that he makes. He noticed an exponentialrelationship between how long his videos have been posted and the number of times each video has beenviewed.Kenji took the natural logarithm for the numbers of views only, and he noticed a linear relationshipbetween the how long his videos have been posted and the transformed numbers of viewsHere's the least-squares regression equation for the transformed data, where "time" represents days sinceposting, and "views" is the number of viewsIn(views) = 0.81(time) + 3.15According to this model, what is the predicted number of views on a video that's been posted for 3 days?You may round your answer to the nearest whole number.viewsShow Calculator Destiny has borrowed $8 from 7 different friends. Write an integer thatrepresents Destiny's total debt to her friends. A block is pulled 0.90 m to the right in 2.4 s. What is the block's average speed to the nearest hundredths of a m/s? Help me pleaseeeeeeeeeeee multiply the following using the vertical multiplication method: 3x^2+5x+1x^2-2x+4 Assume for the United States that the opportunity cost of each airplane is 50 cars. Which of these pairs of points could be on the United States' production possibilities frontier?a. (200 airplanes, 5,000 cars) and (150 airplanes, 4,000 cars)b. (200 airplanes, 12,500 cars) and (150 airplanes, 15,000 cars)c. (300 airplanes, 15,000 cars) and (200 airplanes, 25,000 cars)d. (300 airplanes, 25,000 cars) and (200 airplanes, 40,000 cars) Choose the linear inequality that describes the graph the grey area represents the shaded region If I have 0.294L of a 2.OM NaOH solution, what will be the concentration if I add 1.824L to the solution? Imagine you are running for a Presidency on Student Supreme Government (SSG) in your school and you are faced with these issues of cyberbullying and students suicidal tendencies. What can you advise your fellow students and for you to win the election?