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dusya [7]
3 years ago
11

Write √ 3 x √ 6 in the form b √2 where b is an integer.

Mathematics
1 answer:
tigry1 [53]3 years ago
5 0

Answer:

Step-by-step explanation:

The catch here is to break up sqrt(6) into 2 parts that use primes to define sqrt(6)

sqrt(3)* sqrt(6)

sqrt(6) can be broken up into sqrt(2*3) which equals sqrt(2)*sqrt(3)

sqrt(3)*sqrt(2)(sqrt(3)

sqrt(3)*sqrt(3)*sqrt(2)

3*sqrt(2)

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Jenny bought some books she spent a total of 58 dollars after a discount of 7 dollars off of her total purchase . each book cost
brilliants [131]

Answer:

13 books

Step-by-step explanation:

Total cost without the discount = $58 + $7 = $65

Cost of one book = $5

Let the number of books be n

5n = 65

n = 65/5

n = 13

6 0
3 years ago
Solve for X
sweet-ann [11.9K]

Answer:

x = 1035 = MXXXV

Step-by-step explanation:

<u>Roman Numbers </u>

It's an ancient number system developed in Rome where numbers are represented by the letters {I,V,X,L,C,D,M}. The value of each are, respectively {1,5,10,50,100,500,1000}. If some letter is repeated, then it's value must be multiplied by the number of times the letter is present. For example, XXVII has two X's and two I's, so the conversion is 10+10+5+1+1=27.

If a less-valued letter appears before a greater one, it subtracts. For example CDI=-100+500+1=401

Our numbers are

MMMMMMMMCDXV=8*1000-100+500+10+5=8415

MDCCCLXIII = 1000+500+300+50+10+3=1863

DLXI = 500+50+10+1=561

XXVII = 20+5+2=27

We now operate in our numerical system

\displaystyle x = \frac{MMMMMMMMCDXV * MDCCCLXIII}{DLXI * XXVII}

\displaystyle x = \frac{8415 * 1863}{561 * 27}

\displaystyle x = \frac{15677145}{15147}

\displaystyle x = 1035

Converting back to roman

\boxed{\displaystyle x = MXXXV}

3 0
3 years ago
.<br> y - 6 = 4(x - 4)<br> Which of the following shows a graph of the equation above?
Phantasy [73]

Answer:

z.

Step-by-step explanation:

7 0
3 years ago
Michael deposits $900 in a savings account
earnstyle [38]

Answer:

$1084.10

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
PLEASE HELP I REALLY NEED IT!!!!<br> Detailed explanation please
vampirchik [111]

So Explicit formula for 2nd one

  • 2a_{a-1}

Or general formula as per Geometric progression

  • a_n=ar^{n-1}=1(2)^{n-1}

For 50 years there are 365(50)=18250days excluding leap years (We will check for leap year if neck to neck situation arises)

Now find sum

Sum of 18250 terms

\\ \rm\Rrightarrow \dfrac{a(r^n-1)}{r-1}

\\ \rm\Rrightarrow \dfrac{1(2^{18250}-1)}{2-1}

1 from both denominator and numerator cancels out

\\ \rm\Rrightarrow 2^{18250}-1

\\ \rm\Rrightarrow 6.272214002E5493(Accurate)

It's far more than 1 M so second option would give you more penny

3 0
2 years ago
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