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3 years ago

What's the square root of 44

Mathematics

2 answers:

Maurinko [17]3 years ago

5 0

The answer is
6.63324958071

GuDViN [60]3 years ago

3 0

Hello!

The answer is ≈6.63 it's hard to determine an exact decimal, because it is irrational.

Hope this helps! ☺♥

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Use strong mathematical induction to prove the existence part of the unique factorization of integers theorem (Theorem 4.4.5). I

valentina_108 [34]

Answer:

Lets say that P(n) is true if n is a prime or a product of prime numbers. We want to show that P(n) is true for all n > 1.

The base case is n=2. P(2) is true because 2 is prime.

Now lets use the inductive hypothesis. Lets take a number n > 2, and we will assume that P(k) is true for any integer k such that 1 < k < n. We want to show that P(n) is true. We may assume that n is not prime, otherwise, P(n) would be trivially true. Since n is not prime, there exist positive integers a,b greater than 1 such that a*b = n. Note that 1 < a < n and 1 < b < n, thus P(a) and P(b) are true. Therefore there exists primes p1, ...., pj and pj+1, ..., pl such that

p1*p2*...*pj = a

pj+1*pj+2*...*pl = b

As a result

n = a*b = (p1*......*pj)*(pj+1*....*pl) = p1*....*pj*....pl

Since we could write n as a product of primes, then P(n) is also true. For strong induction, we conclude than P(n) is true for all integers greater than 1.

5 0

3 years ago

Bo Karah can run a race in 4 hours 33 minutes if he runs at 7 m/s. How long will it take in hours and minutes if

lidiya [134]

Answer:

7 hours and 9 minutes

Step-by-step explanation:

4 hours and 33 minutes is 273 minutes

7 m/s —> 273 minutes

11 m/s —> M

Criss cross to get M

11x273= 7M

3003=7M

M=429 minutes

==> 429 minutes is 7 hours and 9 minutes

8 0

2 years ago

Select ALL the correct answers.

shepuryov [24]

When a quadrilateral is inscribed in a circle, the opposite angles are supplementary

The description of the angles in the quadrilaterals are:

b. m∠M = 55°, m∠J = 48°, and m∠L = 132°
d. m∠L = 40°, m∠M = 60°, and m∠K = 120°
e. m∠K = 72°, m∠L = 44°, and m∠M = 108°
f. m∠J = 105°, m∠K = 65°, and m∠L = 75°

<h3>How to describe the angles</h3>

The quadrilateral is given as: JKLM

The opposite angles are:

Angles J and L
Angles K and M

The opposite angles are supplementary

So, we have:

$J + L = 180$

$K + M = 180$

Next, we test the options

Option (a)

$J + L = 180$

$125 + 35 = 160$

This is not true

Option (b)

$J + L = 180$

$48 + 132 =180$

This is true

Option (c)

$K + M = 180$

$12 + 78 = 180$

This is not true

Option (d)

$K + M = 180$

$120 + 60 = 180$

This is true

Option (e)

$K + M = 180$

$72 + 108= 180$

This is true

Option (f)

$J + L = 180$

$105 + 75 = 180$

This true

Hence, the description of the angles in the quadrilaterals are (b), (d), (e) and (f)

Read more about inscribed quadrilaterals at:

brainly.com/question/26690979

6 0

2 years ago

Which expression is equivalent to the expression

Sholpan [36]

Answer:

-4 is the answer

Step-by-step explanation:

5 0

3 years ago

Given the point (4,5) & slope = -4, what is the equation of the line? *

raketka [301]

Answer:

Y= -4x+ 21

Step-by-step explanation:

7 0

3 years ago