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3 years ago

What is the answer for part b??

Mathematics

1 answer:

nasty-shy [4]3 years ago

5 0

If you factor the expression of part A, you will get the expression of part B

the reason is that the perimeter of a rectangle is equal to 2(l+w)

so in the factorization number 2 will be multiplied by the rest of the expression

good luck

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The rate of change of the volume V of water in a tank with respect to time t is directly proportional to the cubed root of the v

Svetllana [295]

Answer:

The differential equation becomes -

$\frac{dV}{dt} = k\sqrt[3]{V}$ i.e. $\frac{dV}{dt} = kV^{\frac{1}{3} }$

Step-by-step explanation:

Given - The rate of change of the volume V of water in a tank with respect to time t is directly proportional to the cubed root of the volume.

To find - Write a differential equation that describes the relationship.

Proof -

Rate of change of volume V with respect to time t is represented by $\frac{dV}{dt}$

Now,

Given that,

The rate of change of the volume V of water in a tank with respect to time t is directly proportional to the cubed root of the volume.

⇒ $\frac{dV}{dt}$ ∝ $\sqrt[3]{V}$

Now,

We know that, when we have to remove the Proportionality sign , we just put a constant sign.

Let k be any constant.

So,

The differential equation becomes -

$\frac{dV}{dt} = k\sqrt[3]{V}$ i.e. $\frac{dV}{dt} = kV^{\frac{1}{3} }$

6 0

3 years ago

A square 20 cm long and a rectangle 24 cm long have the same perimeter. Find the area of the rectangle.

Nitella [24]

20 * 4 = 80 = perimeter of the square 24*2 = 48, the length of two sides of the rectangle. Deducting from 80 we are left with 32 and dividing by 2 we know the rectangle is 24 x 16 Area = L * W, so you can calculate the area of the rectangle.
384

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3 years ago

Vadim26 [7]

Answer:

AAS criterion is the correct answer of this question.....

5 0

3 years ago

Write 2/3 of 4 as a fraction.

algol [13]

2/3(4)= 8/3
(2/3)(4/1)
(2)(4)/(3)(1)
=8/3
hope this helps!

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3 years ago

Which Function rule describes the pattern in the table? x:-2,-1,0,1,2 / y:14,11,8,5,2 A) y=3x+8 B) y= -3x-8 C) y=3x-8 D) y=-3x+8

Leona [35]

For every value tht x increases, y decreases by 3

-3x

Then to find the y intercept, look at 0's corresponding value (8)

-3x+8

6 0

3 years ago