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2 years ago

How do we locate the solution of a systems of linear equation?

Mathematics

1 answer:

LiRa [457]2 years ago

7 0

Answer:

Graph the two lines and the solution is where the lines intersect.

Step-by-step explanation:

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A spherical balloon is inflated with gas at the rate of 500 cubic centimeters per minute. How fast is the radius of the balloon

zmey [24]

Using implicit differentiation, it is found that the radius is increasing at a rate of 0.0081 cm per minute.

<h3>What is the volume of a sphere?</h3>

The volume of a sphere of radius r is given by:

$V = \frac{4\pi r^3}{3}$

Applying implicit differentiation, the rate of change is given by:

$\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}$

In this problem, we have that:

$\frac{dV}{dt} = 500, r = 70$

Hence the rate of change of the radius is given as follows:

$\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}$

$19600\pi\frac{dr}{dt} = 500$

$\frac{dr}{dt} = \frac{500}{19600\pi}$

$\frac{dr}{dt} = 0.0081$

The radius is increasing at a rate of 0.0081 cm per minute.

More can be learned about implicit differentiation at brainly.com/question/25608353

#SPJ1

4 0

1 year ago

Help please!!!!

NikAS [45]

468

You can get this by finding the area of each individual rectangle.

5 0

2 years ago

Which is the value of this expression when m-3 and n=-5

Vedmedyk [2.9K]

Answer:

1/8

Step-by-step explanation:

(6m^-1n^0)^-3 =

= (6 × 1/3 × (-5)^0)^-3

= (6/3)^-3

= 2^-3

= 1/2^3

= 1/8

3 0

1 year ago

Which expression is equivalent to square root 81/100?

patriot [66]

I do believe that the answer is 9/10

6 0

2 years ago

Read 2 more answers

Help me with my test please

omeli [17]

so square root is really is easyyy put in 6.4 ♾️

6 0

2 years ago