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3 years ago

If f(x) = x -5, what is f(2)

Mathematics

1 answer:

SOVA2 [1]3 years ago

7 0

f(2) = -3

Step-by-step explanation:

f(x) = x - 5

f(2)) = (2) - 5 = -3

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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

4 years ago

Solve the equation 4b + 22 = 5(b + 4) − 1

djverab [1.8K]

4b + 22 = 5 (b + 4) - 1 (remove the parantheses)

4b + 22 = 5b + 20 - 1 (calculate)

4b + 22 = 5b + 19 (move the terms)

4b - 5b = 19 - 22 (collect like terms and calculate)

-b = -3 (change the signs)

b = 3

3 0

3 years ago

Read 2 more answers

Are these proportional? 10 books for $4.50; 15 books for $6.00

umka2103 [35]

Answer:

Step-by-step explanation:

5 books are $2.50, mean that 10 books should only be $4.00 not $4.50. Also making the 15 for $6.00 only $5.50. All because 5 books would be $2.50.

3 0

3 years ago

What’s the answer to 2.05 X 3.6

mr Goodwill [35]

Answer:the answer would be 7.38

7 0

3 years ago

A full bathtub drains at a constant rate. The amount of water im it changes by -4 1/2 gallons in 3/4 minute. What is the rate on

Firdavs [7]

Answer:

-6 gal/min

Step-by-step explanation:

(-4 1/2 gal)/(3/4 min) =

= (-4.5 gal)/(0.75)

= -6 gal/min

Answer: -6 gal/min

3 0

4 years ago