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3 years ago

What is the best estimate for the quotient 5,397 divided by 62

Mathematics

2 answers:

shusha [124]3 years ago

4 0

The best, closest quotient would be 87.

Mrac [35]3 years ago

3 0

<span>The best estimate is 80 because 5000 divided by 60 is 80.3 repeating.</span>

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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

Choose as many answers as apply!

AleksAgata [21]

Meter
Kilogram
Liter
Kilowatt

8 0

2 years ago

Find Zx 75° X (1) 165 (2) 185° (3) 1959 (4) 285°

Eddi Din [679]

THE ANSWER IS:

X:540

X: answer 90

8 0

1 year ago

For the function F defined by F(x) = x^2 – 2x + 4, find F(| – 4|).

Morgarella [4.7K]

| - 4 | = 4

Thus :

f ( | - 4 | ) = f ( 4 )

f ( 4 ) = ( 4 )^2 - 2(4) + 4

f ( 4 ) = 16 - 8 + 4

f ( 4 ) = 16 + 4 - 8

f ( 4 ) = 20 - 8

f ( 4 ) = 12

7 0

2 years ago

4) If the area of a square is 48cm²,<br> What is the length of each side?<br> Simplify your answer.

Talja [164]

Answer:

4 sqrt(3) cm

Step-by-step explanation:

The area of a square is

A = s^2 where s is the side length

48 = s^2

Take the square root of each side

sqrt(48) = sqrt(s)

sqrt(16*3) = s

4 sqrt(3) =s

5 0

2 years ago

Read 2 more answers