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storchak [24]
3 years ago
11

Helppppp PLZZZZZZZZZZZZZZZZZZZZZZ i need help

Mathematics
2 answers:
bearhunter [10]3 years ago
8 0

\sf\:Q.\:Show \:  that  \: there \:  is \:  no \:  positive\:integer

\sf\:n \: for \:  which \:\sqrt{n - 1}  \:  + \:\sqrt{n + 1}\:is

\sf\:  rational.

Olin [163]3 years ago
5 0

Answer/Step-by-step explanation:

A) The temperature in Chicago could be -10*F because -10 is to the right of -13 on the number line.

Higher Temperatures -->

o----------->I

I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I

-13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1   0  1   2  3  4  5  6  7  8  9 10

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how do you solve this: the sale price is $146.54 and the discount is 15% off. how do you solve for the original price?
N76 [4]
Mp. 146.54
dis . 15%
sp= 146.54 - 15 % of 146.54
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6 0
3 years ago
Find the amount in a bank account if you deposited $10,000 for 25 years at 6.25% interest compounded quarterly.
KengaRu [80]
Ok, so the formula for compound QUARTERLY is A=P(1+ʳ/n)ⁿ<span>ᵗ.
P= The initial amount.
R= The Rate
T= The Time/Number of Years
N= Number of time interest is compounded per year. (In this case its 4 because it compounded QUARTERLY.)

So if you input the numbers, you will get A=10,000(1+0.0625/4)</span>⁴⁽²⁵⁾<span>
Now solve inside the parenthesis.
10,0 00(1.0625/4)</span>⁴⁽²⁵⁾
Now you will need a calculator for the next part...
Do 1.0625/4 and times it by 10,000 .
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⁴⁽²⁵⁾=<span>¹⁰⁰
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4 0
3 years ago
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
What is the volume of the prism?<br> ft3<br> 5.6 cm<br> cm<br> 9 cm<br> 7.8 cm
Doss [256]

Answer:

I can not answer this question because vital information is missing.

Step-by-step explanation:

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3 0
3 years ago
Please please please help and solve this with steps, much help needed thank you :) 20 points for this!
leonid [27]

Answer:

y=\sqrt{\frac{x^4-6x^2+12x+c_1}{2}},\:y=-\sqrt{\frac{x^4-6x^2+12x+c_1}{2}}

(Please vote me Brainliest if this helped!)

Step-by-step explanation:

\frac{dy}{dx}y=x^3+2x-5x+3

\mathrm{First\:order\:separable\:Ordinary\:Differential\:Equation}

  • \mathrm{A\:first\:order\:separable\:ODE\:has\:the\:form\:of}\:N\left(y\right)\cdot y'=M\left(x\right)

1. \mathrm{Substitute\quad }\frac{dy}{dx}\mathrm{\:with\:}y'\:

y'\:y=x^3+2x-5x+3

2. \mathrm{Rewrite\:in\:the\:form\:of\:a\:first\:order\:separable\:ODE}

yy'\:=x^3-3x+3

  • N\left(y\right)\cdot y'\:=M\left(x\right)
  • N\left(y\right)=y,\:\quad M\left(x\right)=x^3-3x+3

3. \mathrm{Solve\:}\:yy'\:=x^3-3x+3:\quad \frac{y^2}{2}=\frac{x^4}{4}-\frac{3x^2}{2}+3x+c_1

4. \mathrm{Isolate}\:y:\quad y=\sqrt{\frac{x^4-6x^2+12x+4c_1}{2}},\:y=-\sqrt{\frac{x^4-6x^2+12x+4c_1}{2}}

5. \mathrm{Simplify}

y=\sqrt{\frac{x^4-6x^2+12x+c_1}{2}},\:y=-\sqrt{\frac{x^4-6x^2+12x+c_1}{2}}

7 0
3 years ago
Read 2 more answers
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