For 7-15, factor each expression. (if it cant be, then put CBF)(if you dont know it, please dont bother.)

Mathematics

2 answers:

Helen [10]2 years ago

3 0

Answer:

-8

Step-by-step explanation:

7-7=0 remainder is 8 so minus 8 to zero -8

polet [3.4K]2 years ago

3 0

7. 8x -14
2(4x-7) is the answer
8. 3x +11y
The answer is CBF
9. 32x-15
The answer is CBF
13. 1/3x-1/3
1/3(x-1) is your answer
14. 1/2x+1/2
1/2(x+1) is your answer
10. 72x -18xy
18x(4-y) is your answer
11.45xy-81y
9y(5x-9)
12. 25x+14y
CBF is your answer

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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:

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

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

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

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

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

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3 years ago

A private opinion poll is conducted for a politician to determine what proportion of the population favors adding more national

Ksju [112]

Answer:

n≅376

So sample size is 376.

Step-by-step explanation:

The formula we are going to use is:

$n=pq(\frac{z_{\alpha/2}}{E})^{2}$