1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
saveliy_v [14]
2 years ago
11

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

Mathematics
1 answer:
weeeeeb [17]2 years ago
4 0

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.

You might be interested in
Help please <br> I need this today
Katen [24]
Triangles a are similar because they have the same degrees

And Triangles d are similar because they are the same shape
3 0
3 years ago
How to set up 288*0.25
svlad2 [7]

Answer:

$72

288

<u>x0.25</u>

there you go

hope this helps

brainliest plz

<u />

4 0
3 years ago
Complete parts a through f below to find nonnegative numbers x and y that satisfy the given requirements. Give the optimum value
MArishka [77]

Answer:

  • y = 81-x
  • the domain of P(x) is [0, 81]
  • P is maximized at (x, y) = (54, 27)

Step-by-step explanation:

<u>Given</u>

  • x plus y equals 81
  • x and y are non-negative

<u>Find</u>

  • P equals x squared y is maximized

<u>Solution</u>

a. Solve x plus y equals 81 for y.

  y equals 81 minus x

__

b. Substitute the result from part a into the equation P equals x squared y for the variable that is to be maximized.

  P equals x squared left parenthesis 81 minus x right parenthesis

__

c. Find the domain of the function P found in part b.

  left bracket 0 comma 81 right bracket

__

d. Find dP/dx. Solve the equation dP/dx = 0.

  P = 81x² -x³

  dP/dx = 162x -3x² = 3x(54 -x) = 0

The zero product rule tells us the solutions to this equation are x=0 and x=54, the values of x that make the factors be zero. x=0 is an extraneous solution for this problem so ...

  P is maximized at (x, y) = (54, 27).

7 0
3 years ago
Evaluate 5 +(-4) + (-7) + 2
Charra [1.4K]

Answer:

Step-by-step explanation:

+ - = -

+ + = +

5-4-7+2

-7+2

-5   ans

8 0
2 years ago
Read 2 more answers
Determine whether each of these sets is finite, countably infinite, or uncountable. For those that are countably infinite, exhib
anzhelika [568]

Answer:

a) Countably infinite

b) Countably infinite

c) Finite

d) Uncountable

e) Countably infinite

Step-by-step explanation:

a) Let S the set of integers grater than 10.

Consider the following correspondence:

f: S\rightarrow \mathbb{Z}^+ defined by f(10+k)=k-1 for k\in\mathbb{Z}^+/\{0\}.

Let's see that the function is one-to-one.

Suppose that f(10+k)=f(10+j) for k≠j. Then k-1=j-1. Thus k-j=1-1=0. Then k=j. This implies that 10+k=10+j. Then the correspondence is injective.

b) Let S the set of odd negative integers

Consider the following correspondence:

f: S\rightarrow \mathbb{Z}^+ defined by f(-(2k+1))=k.

Let's see that the function is one-to-one.

Suppose that f(-(2k+1))=f(-(2j+1)) for k≠j. By definition, k=j. This implies that the correspondence is injective.

c) The integers with absolute value less than 1,000,000 are in the intervals A=(-1.000.000, 0) B=[0, 1.000.000). Then there is 998.000 integers in A that satisfies the condition and 999.000 integers in B that satifies the condition.

d) The set of real number between 0 and 2 is the interval (0,2) and you can prove that the interval (0,2) is equipotent to the reals. Then the set is uncountable.

e) Let S the set A×Z+ where A={2,3}

Consider the following correspondence:

f: S\rightarrow \mathbb{Z}^+ defined by f(2,k)=2k, \;f(3,j)= 2j+1

Let's see that the function is one-to-one.

Consider three cases:

1. f(2,k)=f(2,j), then 2k=2j, thus k=j.

2. f(3,k)=f(3,j), then 2k+1=2j+1, then 2k=2j, thus k=j.

3.  f(2,k)=f(3,j), then 2k=2j+1. But this is impossible because 2k is an even number and 2j+1 is an odd number.

Then we conclude that the correspondence is one-to-one.

6 0
2 years ago
Other questions:
  • 20(−1.5r+0.75) expand the expression and combine like terms
    5·2 answers
  • Am i right?? please help!
    8·1 answer
  • Your monthly living expenses are $585.00. Your monthly fixed expenses are $1078.00. Your annual fixed expenses are $2700.00. Cal
    12·1 answer
  • The computer that controls a bank's automatic teller machine crashes a mean of 0.60.6 times per day. What is the probability tha
    6·1 answer
  • What’s the right answer choice ?
    8·2 answers
  • Jasmine weigh 150ib he is loading a freight elevator with identical 72-pound boxes. The elevator can carry no more than 2000ib.
    9·1 answer
  • 30 Points Easy!!!! The zoom feature on a camera lens allows you to dilate what appears on the display. When you (1 pc
    12·1 answer
  • Write an equation of the line with a slope of 3 and a y-intercept of 4.5.
    14·1 answer
  • How do I find the slope intercept
    5·1 answer
  • What is the slope of this graph please no links or files
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!