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2 years ago

Dalton's sister Dorina plays basketball and makes 84% of her free throws. If she attempts 225 free

Mathematics

1 answer:

mrs_skeptik [129]2 years ago

6 0

She would make C. 189

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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

I think of a number, add 8 to it and the result is 14. Find the number

Leya [2.2K]

Answer:

Step-by-step explanation:

The equation for this would be:

n+8=14, since we are adding 8 to a number and getting 14

To solve, isolate the variable n, by subtracting 8 from both sides

n+8=14

n+8-8=14-8

n=6

The number is 6

3 0

3 years ago

Read 2 more answers

The temperature was 6 degrees at midday.

Georgia [21]

Answer:

2 & 3

Step-by-step explanation:

they both equal -7

the temp dropped 7 degrees

8 0

2 years ago

Suppose 81^x = 64.What is 27^x+1?

Genrish500 [490]

What does the <span>^ mean? I feel so stupid</span>

4 0

3 years ago

What is the Pythagorean Theorem

Vlad [161]

Answer:

see below

Step-by-step explanation:

The Pythagorean theorem is for right triangles. It uses the two legs and the hypotenuse

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

4 0

2 years ago