Answer:
243
Step-by-step explanation:
its all about laws of exponent
pls open the pic for ur answer
i hope it may have helped u
Answer:
Solving the inequality
we get 
Option D is correct option.
Step-by-step explanation:
We need to solve the inequality
and find value of x
Solving the inequality for finding value of x, we will keep x on left side of inequality and all other terms on the right side.

Adding 2 on both sides

Now, we will divide 3 on both sides

So, we get x < 2
Solving the inequality
we get 
Option D is correct option.
Let the event 
The the probability of the events


The conditional probability

Answer: one whole
Step-by-step explanation:
8/8 = one whole
The rate at which the water from the container is being drained is 24 inches per second.
Given radius of right circular cone 4 inches .height being 5 inches, height of water is 2 inches and rate at which surface area is falling is 2 inches per second.
Looking at the image we can use similar triangle propert to derive the relationship:
r/R=h/H
where dh/dt=2.
Thus r/5=2/5
r=2 inches
Now from r/R=h/H
we have to write with initial values of cone and differentiate:
r/5=h/5
5r=5h
differentiating with respect to t
5 dr/dt=5 dh/dt
dh/dt is given as 2
5 dr/dt=5*-2
dr/dt=-2
Volume of cone is 1/3 π
We can find the rate at which the water is to be drained by using partial differentiation on the volume equation.
Thus
dv/dt=1/3 π(2rh*dr/dt)+(
*dh/dt)
Putting the values which are given and calculated we get
dv/dt=1/3π(2*2*2*2)+(4*2)
=1/3*3.14*(16+8)
=3.14*24/3.14
=24 inches per second
Hence the rate at which the water is drained from the container is 24 inches per second.
Learn more about differentaiation at brainly.com/question/954654
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