Disagree
at first glance, you would agree that a # to the third power would be greater, however, when the base is a negative #, the result is a negative and smaller #.
for example, 3^3 = 27 but if it is -3^3, the answer is -27.
I hope this helps you
2/3x+1/6x=9+1
4/6x+1/6x=10
5/6x=10
5/10=6x
x=1/12
Question 1:
The volume of a sphere is given by:
V = (4/3) * (pi) * (r ^ 3)
Where,
r: sphere radio
Substituting values we have:
V = (4/3) * (3.14) * ((10/2) ^ 3)
V = 523.3333333
Rounding the nearest whole number we have:
V = 524 m ^ 3
Answer:
option 1
V = 524 m ^ 3
Question 2:
The area of a sphere is given by:
V = (4) * (pi) * (r ^ 2)
Where,
r: sphere radio
Substituting values we have:
V = (4) * (3.14) * ((15/2) ^ 2)
V = 706.5
Rounding the nearest whole number we have:
V = 706.5 yd ^ 2
Answer:
V = 706.5 yd ^ 2
option 2
In kilometers, the approximate distance to the earth's horizon from a point h meters above the surface can be determined by evaluating the expression
![d= \sqrt{12h}](https://tex.z-dn.net/?f=d%3D%20%5Csqrt%7B12h%7D%20)
We are given the height h of a person from surface of sea level to be 350 m and we are to find the the distance to horizon d. Using the value in above expression we get:
Therefore, the approximate distance to the horizon for the person will be 64.81 km
Answer:
.
Step-by-step explanation:
The given transformation is
Which is a translation ![(x,y) \implies (x+12,y+32)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%5Cimplies%20%28x%2B12%2Cy%2B32%29)
So, the initial coordinate is (23, -15), with the translation would be
![(23, -15) \implies (23+12,-15+32)](https://tex.z-dn.net/?f=%2823%2C%20-15%29%20%5Cimplies%20%2823%2B12%2C-15%2B32%29)
Therefore, the image of the initial coordinate is
.