The value of the expression is
.
Solution:
Given expression:
![$\frac{\left(4.8 \times 10^{8}\right)}{\left(1.2 \times 10^{4}\right)} \times\left(2.2 \times 10^{-6}\right)](https://tex.z-dn.net/?f=%24%5Cfrac%7B%5Cleft%284.8%20%5Ctimes%2010%5E%7B8%7D%5Cright%29%7D%7B%5Cleft%281.2%20%5Ctimes%2010%5E%7B4%7D%5Cright%29%7D%20%5Ctimes%5Cleft%282.2%20%5Ctimes%2010%5E%7B-6%7D%5Cright%29)
<u>To find the value of the given expression:</u>
Using exponent rule: ![a^m\times a^n=a^{m+n}](https://tex.z-dn.net/?f=a%5Em%5Ctimes%20a%5En%3Da%5E%7Bm%2Bn%7D)
![$\Rightarrow\frac{\left(4.8 \times 10^{8-6}\right)}{\left(1.2 \times 10^{4}\right)} \times\left(2.2 \right)](https://tex.z-dn.net/?f=%24%5CRightarrow%5Cfrac%7B%5Cleft%284.8%20%5Ctimes%2010%5E%7B8-6%7D%5Cright%29%7D%7B%5Cleft%281.2%20%5Ctimes%2010%5E%7B4%7D%5Cright%29%7D%20%5Ctimes%5Cleft%282.2%20%5Cright%29)
![$\Rightarrow\frac{\left(4.8 \times 10^{2}\right)}{\left(1.2 \times 10^{4}\right)} \times\left(2.2 \right)](https://tex.z-dn.net/?f=%24%5CRightarrow%5Cfrac%7B%5Cleft%284.8%20%5Ctimes%2010%5E%7B2%7D%5Cright%29%7D%7B%5Cleft%281.2%20%5Ctimes%2010%5E%7B4%7D%5Cright%29%7D%20%5Ctimes%5Cleft%282.2%20%5Cright%29)
Using exponent rule: ![\frac{a^m}{a^n} =a^{m-n}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%5Em%7D%7Ba%5En%7D%20%3Da%5E%7Bm-n%7D)
![$\Rightarrow\frac{\left(4.8 \times 10^{2-4}\right)}{1.2} \times 2.2](https://tex.z-dn.net/?f=%24%5CRightarrow%5Cfrac%7B%5Cleft%284.8%20%5Ctimes%2010%5E%7B2-4%7D%5Cright%29%7D%7B1.2%7D%20%5Ctimes%202.2)
![$\Rightarrow\frac{\left(4.8 \times 10^{-2}\right)}{1.2} \times 2.2](https://tex.z-dn.net/?f=%24%5CRightarrow%5Cfrac%7B%5Cleft%284.8%20%5Ctimes%2010%5E%7B-2%7D%5Cright%29%7D%7B1.2%7D%20%5Ctimes%202.2)
Since ![\frac{4.8}{1.2}=4](https://tex.z-dn.net/?f=%5Cfrac%7B4.8%7D%7B1.2%7D%3D4)
![$\Rightarrow(4 \times 10^{-2})\times 2.2](https://tex.z-dn.net/?f=%24%5CRightarrow%284%20%5Ctimes%2010%5E%7B-2%7D%29%5Ctimes%202.2)
![$\Rightarrow 8.8 \times 10^{-2}](https://tex.z-dn.net/?f=%24%5CRightarrow%208.8%20%5Ctimes%2010%5E%7B-2%7D)
Hence the value of the expression is
.
Answer:
f(x) crosses the x-axis, then
f(x)=(x+4)^6(x+7)^5 = 0
=> x+4 =0 or x+7=0
=> x =-4 or x = -7
Answer:
lies between 0 and 1.
Step-by-step explanation:
We must have in mind that given average weight of a newborn panda is a non-integer rational number, such that lies between two integer rational number. In other words, this number must satisfy the following condition:
, ![n, a, b \in \mathbb{N}_{O}](https://tex.z-dn.net/?f=n%2C%20a%2C%20b%20%5Cin%20%5Cmathbb%7BN%7D_%7BO%7D)
![\mathbb{N}_{O} = \mathbb{N}\,\cup\,{\{0\}}](https://tex.z-dn.net/?f=%5Cmathbb%7BN%7D_%7BO%7D%20%3D%20%5Cmathbb%7BN%7D%5C%2C%5Ccup%5C%2C%7B%5C%7B0%5C%7D%7D)
Which is now developed mathematically to deduce a useful expression to find integers:
1)
Given
2)
Modulative property
3)
Existence of Multiplicative inverse/Definition of division.
4)
Commutative, Associative and Distributive properties.
5)
Compatibility with Multiplication/Existence of Multiplicative Inverse/Modulative Property/Result.
If we know that
and
, the following inequation is formed:
![10\cdot n < 2 < 10\cdot (n+1)](https://tex.z-dn.net/?f=10%5Ccdot%20n%20%3C%202%20%3C%2010%5Ccdot%20%28n%2B1%29)
It is quite evident to conclude that
lies between 0 and 1.
Answer:
256 quarts remain.
Step-by-step explanation:
.8x320=256
Answer:{F, G, H} and {G, C, A} only
Step-by-step explanation: