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3 years ago

Can some one help quickly. Please show work

Mathematics

1 answer:

Sphinxa [80]3 years ago

6 0

Answer: the answer is 2

Step-by-step explanation:

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a spherical balloon is deflated at a rate of 256pi/3 cm^3/sec. at what rate is the radius of the balloon changing when the radiu

Hunter-Best [27]

What you need to look for is $\frac { dr }{ dt }$ when r=8.

Now:

$Volume\quad of\quad a\quad sphere:\\ \\ V=\frac { 4 }{ 3 } \pi { r }^{ 3 }$

$\therefore \quad \frac { dV }{ dr } =\frac { 4 }{ 3 } \pi \cdot 3{ r }^{ 2 }=4\pi { r }^{ 2 }\\ \\ \therefore \quad \frac { dr }{ dV } =\frac { 1 }{ \frac { dV }{ dr } } =\frac { 1 }{ 4\pi { r }^{ 2 } }$

$And:\\ \\ \frac { dV }{ dt } =-\frac { 256\pi }{ 3 } \\ \\ Therefore:\\ \\ \frac { dr }{ dt } =\frac { dr }{ dV } \cdot \frac { dV }{ dt }$

$\\ \\ =\frac { 1 }{ 4\pi { r }^{ 2 } } \cdot -\frac { 256\pi }{ 3 } \\ \\ =-\frac { 256 }{ 12 } \cdot \frac { \pi }{ \pi } \cdot \frac { 1 }{ { r }^{ 2 } }$

$\\ \\ =-\frac { 64 }{ 3{ r }^{ 2 } } \\ \\ When\quad r=8,\\ \\ \frac { dr }{ dt } =-\frac { 64 }{ 3\cdot { 8 }^{ 2 } } =-\frac { 1 }{ 3 } \\ \\ Answer:\quad -\frac { 1 }{ 3 } \quad cm/sec$

3 0

3 years ago

How many different ways can you find for 7 coins totaling 95 cents?

MatroZZZ [7]

Answer:

one way

Step-by-step explanation:

2 quarters

4 dimes

1 nickel

3 0

3 years ago

Solve for x. Leave your answer in simplest radical form.

svlad2 [7]

Mhmmmmmm like 13 because 10+3 is 13 and #brain

7 0

3 years ago

Read 2 more answers

Total revenue is 3,000 cost of goods 1,500 total selling expence is 500 what is profit

12345 [234]

Cost of goods = 1,500
Selling expense = 500

Total cost in selling = 1500 + 500 = 2000

Profit = Total Revenue - Total cost in selling = 3000 - 2000 = 1000

Profit = 1000

Hope this explains it.

8 0

3 years ago

Read 2 more answers

Mickey and Donald earn $53 weekend after taxes Mickeys share is seven dollars greater than Donald's how much does Donald earn ea

igor_vitrenko [27]

Donald earns $23 each weekend and Mickey earns $30.

Step-by-step explanation:

Given,

Money earned by Mickey and Donald = $53

Let,

Share of Mickey = x

Share of Donald = y

According to given statement;

x+y=53 Eqn 1

x = y+7 Eqn 2

Putting value of x from Eqn 2 in Eqn 1

$(y+7)+y=53\\y+7+y=53\\2y=53-7\\2y=46$

Dividing both sides by 2

$\frac{2y}{2}=\frac{46}{2}\\y=23$

Putting y=23 in Eqn 2

$x=23+7\\x=30$

Donald earns $23 each weekend and Mickey earns $30.

Keywords: linear equation, substitution method

Learn more about linear equations at:

#LearnwithBrainly

8 0

3 years ago