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#1 2016-07-28 23:17:24

Mathegocart
Member
Registered: 2012-04-29
Posts: 1,882

Quickies #5, Mathematics.

1)One dimension of Bobbym's cube is increased by 1, another is decreased by 1, and the third is left unchanged. The volume of the new rectangular solid is 5 less than that of the cube. What was the volume of the cube?

2) http://prntscr.com/bz0rqb Find x.

3. What are the last 5 digits of $9^{12}+3^{15}$
4. What is the remainder when 979^109 is divided by 3?
5. Find all values that satisfies $sin^{-2}+cos^{-2}=1.$. If there are none, write None.
6. It is often that students confuse
$cos^{2}$ and $cos(x^{2})$, when do these 2 expressions equal each other?
7. if http://prntscr.com/bz0o1o, Find P/Q.
8.What is i!, where i is the square root of -1.
9. Find the unit digit of $2^{10092}$ x 3^10221
10. Find the unit digit of 11^182.

Last edited by Mathegocart (2016-07-29 10:31:44)

The integral of hope is reality.

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#2 2016-07-29 02:56:14

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Quickies #5, Mathematics.

Hi;

What are 2) and 7) asking?

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#3 2016-07-29 04:05:14

Member
Registered: 2016-04-16
Posts: 1,086

Re: Quickies #5, Mathematics.

Last edited by thickhead (2016-07-29 04:32:05)

{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}
(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha
{Gods rejoice at those places where ladies are respected.}

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#4 2016-07-29 04:54:14

Member
Registered: 2016-04-16
Posts: 1,086

Re: Quickies #5, Mathematics.

Last edited by thickhead (2016-07-29 14:34:29)

{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}
(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha
{Gods rejoice at those places where ladies are respected.}

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#5 2016-07-30 04:51:41

Member
Registered: 2016-04-16
Posts: 1,086

Re: Quickies #5, Mathematics.

{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}
(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha
{Gods rejoice at those places where ladies are respected.}

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#6 2016-07-31 05:02:01

Mathegocart
Member
Registered: 2012-04-29
Posts: 1,882

Re: Quickies #5, Mathematics.

bobbym wrote:

Hi;

What are 2) and 7) asking?

All are correct.

The integral of hope is reality.

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#7 2016-07-31 06:42:20

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Quickies #5, Mathematics.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#8 2016-07-31 06:56:51

Mathegocart
Member
Registered: 2012-04-29
Posts: 1,882

Re: Quickies #5, Mathematics.

Confirmed to be true.

The integral of hope is reality.

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#9 2016-08-02 11:34:32

Mathegocart
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Registered: 2012-04-29
Posts: 1,882

Re: Quickies #5, Mathematics.

TH, aren't there more solutions for 6?

The integral of hope is reality.

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#10 2016-08-02 11:36:44

Mathegocart
Member
Registered: 2012-04-29
Posts: 1,882

Re: Quickies #5, Mathematics.

correct

The integral of hope is reality.

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#11 2016-08-02 23:06:20

Member
Registered: 2016-04-16
Posts: 1,086

Re: Quickies #5, Mathematics.

(6)The following values were given by wolfram alpha for x. I could not evaluate logically. The negative values of same magnitude are also valid.

3.4778	        199.263262
2.64112	151.3250292
2.2661185	129.8390259
1.1994835	68.72534215

Last edited by thickhead (2016-08-02 23:06:41)

{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}
(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha
{Gods rejoice at those places where ladies are respected.}

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