Answer:
The volume of sphere is 
.
Step-by-step explanation:
We have,
Radius of a sphere is 18 units.
It is required to find the volume of sphere.
The formula of the volume of sphere in terms of radius is given by :
Plugging all values in above formula
So, the volume of sphere is .
Answer:
Step-by-step explanation: This is the quadratic function:
h(x)=ax²+bx+c
We have two points:
(1,58)
(2,112)
Now, we calculate this quadratic funtion.
we assume that h(0)=0
Therefore:
a(0)²+b(0)+c=0
c=0
(1,58)
a(1)²+b(1)=58
a+b=58 (1)
(2,112)
a(2)²+b(2)=112
4a+2b=112
2a+b=56 (1)
With the equations (1) and (2) we make a system of equations:
a+b=58
2a+b=56
we can solve this system of equations by reduction method.
-(a+b=58)
2a+b=56
---------------------
a=-2
-2(a+b=58)
2a+b=56
-------------------
-b=-60 ⇒ b=60
The function is:
h(x)=ax²+bx+c
h(x)=-2x²+60x
Now find the height, in feet, of the rock after 10 seconds in the air.
h(10)=-2(10)²+60(10)
h(10)=-200+600=400
Answer: 400 ft.
Answer:
D,
Step-by-step explanation:
the is the value of b in ax -by =-5
D , cant isolate b
Diameter is 18
radius is half of diameter so 9
area is radius*pi ^2 which is 88.83
circumference is diameter * pi so 18*pi = 56.55
Answer:
The correct answer is:
y= x-8
Step-by-step explanation:
We have the equation: 8 = x-y
By clearing the equation for y (subtracting x both sides of equation) we have:
8 - x = -y (1)
Multiplying (1) by -1
-8+x = y (2)
Re-arranging (2), finally we have:
y= x-8
