I’m not completely sure but I think the answer is C.
![\bf \left( -\cfrac{1}{3} \right)^5\implies \left( -\cfrac{1}{3} \right)\left( -\cfrac{1}{3} \right)\left( -\cfrac{1}{3} \right)\left( -\cfrac{1}{3} \right)\left( -\cfrac{1}{3} \right)\implies -\cfrac{1^5}{3^5}\implies -\cfrac{1}{243}](https://tex.z-dn.net/?f=%5Cbf%20%5Cleft%28%20-%5Ccfrac%7B1%7D%7B3%7D%20%5Cright%29%5E5%5Cimplies%20%5Cleft%28%20-%5Ccfrac%7B1%7D%7B3%7D%20%5Cright%29%5Cleft%28%20-%5Ccfrac%7B1%7D%7B3%7D%20%5Cright%29%5Cleft%28%20-%5Ccfrac%7B1%7D%7B3%7D%20%5Cright%29%5Cleft%28%20-%5Ccfrac%7B1%7D%7B3%7D%20%5Cright%29%5Cleft%28%20-%5Ccfrac%7B1%7D%7B3%7D%20%5Cright%29%5Cimplies%20-%5Ccfrac%7B1%5E5%7D%7B3%5E5%7D%5Cimplies%20-%5Ccfrac%7B1%7D%7B243%7D)
recall minus * minus * minus * minus * minus is minus.
Answer:
435.2kg (1DP)
Step-by-step explanation:
0.64x680
64 divided by 100 = 0.64
Answer:
![(f\circ g)(x)= x + 4](https://tex.z-dn.net/?f=%28f%5Ccirc%20g%29%28x%29%3D%20x%20%2B%204)
Step-by-step explanation:
<u>Composite Function</u>
Given f(x) and g(x) as real functions, the composite function
is defined as:
![(f\circ g)(x)=f(g(x))](https://tex.z-dn.net/?f=%28f%5Ccirc%20g%29%28x%29%3Df%28g%28x%29%29)
It can be found by substituting g into f.
We are given the functions:
f(x) = -x + 3
g(x) = -x -1
Find
![(f\circ g)(x)=f(g(x))= - (-x -1) + 3](https://tex.z-dn.net/?f=%28f%5Ccirc%20g%29%28x%29%3Df%28g%28x%29%29%3D%20-%20%28-x%20-1%29%20%2B%203)
Removing parentheses:
![(f\circ g)(x)= x + 1 + 3](https://tex.z-dn.net/?f=%28f%5Ccirc%20g%29%28x%29%3D%20x%20%2B%201%20%2B%203)
Simplifying:
![\mathbf{(f\circ g)(x)= x + 4}](https://tex.z-dn.net/?f=%5Cmathbf%7B%28f%5Ccirc%20g%29%28x%29%3D%20x%20%2B%204%7D)
Answer:
The density of cube is 6.17959 ![\frac{g}{cm^{3} }](https://tex.z-dn.net/?f=%5Cfrac%7Bg%7D%7Bcm%5E%7B3%7D%20%7D)
Step-by-step explanation:
The density is given by ration of a mass of body and volume occupied by a body.
![\rho = \frac{m}{V}](https://tex.z-dn.net/?f=%5Crho%20%3D%20%5Cfrac%7Bm%7D%7BV%7D)
Where,
is density.
m is mass of a body
V is the volume of a body
Given that one side of the cube is 0.53cm
Hence, the volume of a body is V=
=0.148877![cm^{3}](https://tex.z-dn.net/?f=cm%5E%7B3%7D)
Now, the Density of the cube will be
![\rho = \frac{m}{V}](https://tex.z-dn.net/?f=%5Crho%20%3D%20%5Cfrac%7Bm%7D%7BV%7D)
![\rho = \frac{0.92}{0.148877}](https://tex.z-dn.net/?f=%5Crho%20%3D%20%5Cfrac%7B0.92%7D%7B0.148877%7D)
![\rho =6.17959](https://tex.z-dn.net/?f=%5Crho%20%3D6.17959)
Thus, The density of cube is 6.17959 ![\frac{g}{cm^{3} }](https://tex.z-dn.net/?f=%5Cfrac%7Bg%7D%7Bcm%5E%7B3%7D%20%7D)