Answer:
Step-by-step explanation:
In the question it is given that the volume of a sphere is 4,500π cubic yards. And we have to find the radius.
We know that,
- 4/3πr³ = Volume of a sphere
Now, Substituting the values in the fomulae :
⇒ 4/3πr³ = 4500π
Cancelling π from both sides :
⇒ 4/3r³ = 4500
⇒ 4r³ = 4500 × 3
⇒ 4r³ = 13500
⇒ r³ = 13500/4
⇒ r³ = 3375
Taking cube root on both sides we get :
⇒ r = 15
Therefore,
- <u>The radius of the sphere is 15 yards</u>
Average rate of change over interval [a,b]: r=[f(b)-f(a)]/(b-a)
In this case the interval is [0,2], then a=0, b=2
r=[f(2)-f(0)]/(2-0)
r=[f(2)-f(0)]/2
1) First function: h(x)
r=[h(2)-h(0)]/2
x=2→h(2)=(2)^2+2(2)-6
h(2)=4+4-6
h(2)=2
x=0→h(0)=(0)^2+2(0)-6
h(0)=0+0-6
h(0)=-6
r=[h(2)-h(0)]/2
r=[2-(-6)]/2
r=(2+6)/2
r=(8)/2
r=4
2) Second function: f(x)
A function, f, has an
x-intercept at (2,0)→x=2, f(2)=0
and a y-intercept at (0,-10)→x=0, f(0)=-10
r=[f(2)-f(0)]/2
r=[0-(-10)]/2
r=(0+10)/2
r=(10)/2
r=5
3) Third function: g(x)
r=[g(2)-g(0)]/2
From the graph:
g(2)=6
g(0)=2
r=(6-2)/2
r=(4)/2
r=2
4) Fourth function: j(x)
r=[j(2)-j(0)]/2
From the table:
x=2→j(2)=-8
x=0→j(0)=4
r=(-8-4)/2
r=(-12)/2
r=-6
Answer:
Pairs
1) h(x) 4
2) f(x) 5
3) g(x) 2
4) j(x) -6
Answer:
the answer is 2.7777
Step-by-step explanation:
You just divide!
Answer: The answer is A.
Step-by-step explanation: The only valid conclusion that is listed in the options is choice A. The correct one is that the length of a person’s foot is a cause of their shoe size, which implies that there is also a correlation between the length of a person’s foot and their shoe size.
