Items of expenses not connected with any department are ______________. a)Charged to the General Profit & Loss Account b)Charged to departments on the basis of fixed assets employed c)Transfer to the Balance Sheet d)Charged to departments on the basis of total sales​

LCM of 7,9,12 = 252

Divide 252 by the greatest 3-digit number, and get the remainder. i.e. 999

-> 999/252 = Remainder = 243

Now, subtract the remainder by 999

-> 999-243 = 756

Hence, the greatest 3 digit number exactly divisible by 7,9, and 12 is 756.

Answer:

The greatest 3 digit number is 756 which is a multiple of 252 and is exactly divisible by  7 , 9 and 12.

Step-by-step explanation:

• Given : Three numbers 7 , 9 and 12

• We need to find out the largest 3-digit number which is exactly divisible by 7 , 9 and 12

• To find out the largest 3-digit number which is exactly divisible by 7 , 9 and 12, we have to calculate the L.C.M 7 , 9 and 12 first.

• L.C.M of 7 , 9 and 12

       7 = 1×7

       9 = 3×3

       12 = 2×2×3

      Hence, the LCM of given numbers 7 , 9 and 12 = 2 x 2 x 3 x 3 x 7 =  

      252

• We have to find the greatest 3 digit multiple of 252 which is exactly divisible by 7 , 9 and 12

• The greatest 3-digit number is 999, I we divide 999 by the obtained LCM that is 252 , we will get the remainder 243.

• 999 ÷ 252 will give the remainder 243.

       Since the remainder is not 0, hence we have to subtract 243 from

       999.

• 999 - 243 = 756 which is a multiple of 252 and is exactly divisible by  7 , 9 and 12.
• Hence, the greatest 3-digit number exactly divisible by  7 , 9 and 12 is 756.

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a = 17

The fifth number is 27.

By using formula ,

[tex] \sf \: t_{n} = a + (n - 1)d[/tex]

[tex] \sf \therefore t_{5} = 17 + (5 - 1)d[/tex]

[tex] \sf \therefore \:27 = 17 + 4d[/tex]

[tex] \sf \therefore 4d = 27 - 17[/tex]

[tex] \sf \therefore \: 4d = 10[/tex]

[tex] \sf \therefore\: d = \dfrac{10}{4} [/tex]

[tex] \sf \implies \: d = 2.5[/tex]

Therefore,

[tex] \sf \: t_{2} = t_{1} + d = 17 + 2.5 = 19.5[/tex]

[tex] \sf t_{3} = t_{2} + d = 19.5 + 2.5 = 22[/tex]

[tex] \sf t_{4} = t_{3} + d = 22 + 2.5 = 24.5[/tex]

Therefore, the AP is 17, 19.5 , 22, 24.5, 27.........

Given:D =72

We know that D/90 = (2C)/π

=D /90 = 2C/ π

= 72 /90 = 2c/ π

=4 5 = 2C/ π

=C= 4π /10 = 2π/ 5 radians

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• The most common system of measurement is the Sexagesimal system, which divides a straight angle into 90 equal portions called Degrees. Each degree is divided into 60 equal minutes, and each minute is divided into 60 equal seconds.
• The grad, or grade, is a unit of angle measurement defined as one-tenth of the right angle; in other words, 90 degrees has 100 gradians. It corresponds to 1400 of a turn, 910 of a degree, or 200 of a radian.

72° = D

72° as a grade measure

D = 72

We know,  

[tex]\frac{D}{90} = \frac{2C}{\pi } \\= \frac{72}{90} = \frac{2C}{\pi } \\=\frac{4}{5} = \frac{2C}{\pi } \\C= \frac{4\pi }{10} \\C= \frac{2\pi }{5} \\[/tex]

∴C= [tex]\frac{2\pi }{5} radians[/tex]

Answer:

AI in security will

Not replace a security analyst's insights or understanding of the field

The answer to the given question will be 'Option 4. Not replace a security analyst's insights or understanding of the field'.

• 'Option 1. Not detect threats based on application behavior and a whole network's activity' is Incorrect.
• ​'Option 2. Not be able to identify and stop cyber threats with less human intervention than is typically expected or needed with traditional security approaches' is Incorrect.
• 'Option 3. Not detect when new threats are imminent' is Incorrect.
• 'Option 4. Not replace a security analyst's insights or understanding of the field' is Correct.
• Thus, The correct answer will be 'Option 4. Not replace a security analyst's insights or understanding of the field', as, human beings are still able to cross-check whether the A.I. is accurate or not.