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
What is the length of the side of a square if it's area is 0.49 square units?
1 answer:
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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
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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