Eleven - fifth teen of the students
Answer:
98 is the answer of the expression
Step-by-step explanation:
AS it is a simple algebraic expression so these are solved by BDMAS rule which means that we have to solve the brackets first starting from the smaller bracket first which is inside a larger bracket then we will move to Division then multiplication then addition and then subtraction
so the following equation can be written as
= ![2^{3}[\frac{1}{4}+4(36/12)]](https://tex.z-dn.net/?f=2%5E%7B3%7D%5B%5Cfrac%7B1%7D%7B4%7D%2B4%2836%2F12%29%5D)
First of all solving smallest bracket and division inside it
= ![2^{3}[\frac{1}{4}+4(3)]](https://tex.z-dn.net/?f=2%5E%7B3%7D%5B%5Cfrac%7B1%7D%7B4%7D%2B4%283%29%5D)
Multplying 4 inside
= ![2^{3}[\frac{1}{4}+12]](https://tex.z-dn.net/?f=2%5E%7B3%7D%5B%5Cfrac%7B1%7D%7B4%7D%2B12%5D)
Now solving the 2³
= ![8[\frac{1}{4}+12]](https://tex.z-dn.net/?f=8%5B%5Cfrac%7B1%7D%7B4%7D%2B12%5D)
Now solving the expression inside the bracket by taking LCM
= ![8[\frac{1 + 4*12}{4}]](https://tex.z-dn.net/?f=8%5B%5Cfrac%7B1%20%2B%204%2A12%7D%7B4%7D%5D)
= ![8[\frac{1 + 48}{4}]](https://tex.z-dn.net/?f=8%5B%5Cfrac%7B1%20%2B%2048%7D%7B4%7D%5D)
= ![8[\frac{49}{4}]](https://tex.z-dn.net/?f=8%5B%5Cfrac%7B49%7D%7B4%7D%5D)
Now multiplying 8 with inside values
= ![[\frac{8*49}{4}]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B8%2A49%7D%7B4%7D%5D)
AS 8 cuts out with 4 so
= 2 * 49
= 98
which is the answer of the expression
4:14 , 6:21, 8:28, 10:35!!!
Answer:
The rational form of the given number 0.1777 = 
Step-by-step explanation:
The rational number is expressed as a number on the form of 
Now,here the given number in decimal form = 0.1777
To remove the decimal, firstly count the number of digits AFTER DECIMAL.
Here, number of digits after decimal = 4
SO, the decimal can be removed and replaced by 1 , by dividing with 1,0000.

Hence, the rational form of the given number 0.1777 = 

Let
, so that differentiating both sides wrt
gives

If
and
, the above reduces to

This is the slope of the tangent line, which has equation
