Answer:120
Step-by-step explanation:
Volume of box=length x width x height
Volume of box=4x2.5x1.5
Volume of box=15
Cube length=1/2=0.5
Volume of cube=0.5x0.5x0.5
Volume of cube=0.125
Number of cube that can be packed inside the box=15 ➗ 0.125=120
16%
64/400 = 16/100 = .16 = 16%
Answer:
x-intercept(s): (-2, 0), (6, 0)
y-intercept(s): (0, -6)
Step-by-step explanation:
An x-intercept represents the point(s) at which the parabola intersects the x axis. A parabola can have 0, 1, or 2 x-intercepts.
A y-intercept represents the point at which the parabola intersects the y axis. A parabola always has exactly 1 y-intercept.
Hope it helps :) and let me know if you're still confused.
Answer:
Option (b) is true.
Step-by-step explanation:
Given the function
![f\left(x\right)=\sqrt{100-x}](https://tex.z-dn.net/?f=f%5Cleft%28x%5Cright%29%3D%5Csqrt%7B100-x%7D)
plug in x = 5 in the function
![f\left(5\right)=\sqrt{100-5}](https://tex.z-dn.net/?f=f%5Cleft%285%5Cright%29%3D%5Csqrt%7B100-5%7D)
![\:f\left(5\right)=\sqrt{95}\:\:\:\:](https://tex.z-dn.net/?f=%5C%3Af%5Cleft%285%5Cright%29%3D%5Csqrt%7B95%7D%5C%3A%5C%3A%5C%3A%5C%3A)
![f(5) = 9.75](https://tex.z-dn.net/?f=f%285%29%20%3D%209.75)
plug in x = 10 in the function
![f\left(10\right)=\sqrt{100-10}](https://tex.z-dn.net/?f=f%5Cleft%2810%5Cright%29%3D%5Csqrt%7B100-10%7D)
![\:f\left(10\right)=\sqrt{90}\:\:\:\:\:](https://tex.z-dn.net/?f=%5C%3Af%5Cleft%2810%5Cright%29%3D%5Csqrt%7B90%7D%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A)
![\:f\left(10\right)=9.49](https://tex.z-dn.net/?f=%5C%3Af%5Cleft%2810%5Cright%29%3D9.49)
plug in x = 15 in the function
![f\left(10\right)=\sqrt{100-15}](https://tex.z-dn.net/?f=f%5Cleft%2810%5Cright%29%3D%5Csqrt%7B100-15%7D)
![\:f\left(10\right)=\sqrt{85}\:\:\:\:\:](https://tex.z-dn.net/?f=%5C%3Af%5Cleft%2810%5Cright%29%3D%5Csqrt%7B85%7D%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A)
![\:\:f\left(15\right)=9.22](https://tex.z-dn.net/?f=%5C%3A%5C%3Af%5Cleft%2815%5Cright%29%3D9.22)
Thus, the table will be:
x f(x)
0 10
5 9.75
10 9.49
15 9.22
Therefore, option (b) is true.