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3 years ago

The number on top of a fraction is called the

1 answer:

8 0

The number on top of a fraction is the numerator. The number on the bottom of the fraction is the denominator.

Example : 2/3....the 2 is the numerator and the 3 is the denominator

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When factored completely, <br> X^3-7x^2-30x

sweet-ann [11.9K]

Answer:

x(x+3)(x−10)

Step-by-step explanation:

Hope this was helpful let me know if it was!

5 0

3 years ago

Find the length of the side of the square.

nignag [31]

6x-1=4x+6

subtracting 4x from each side

2x-1=6

adding 1 to each side

2x=7

divide by 2

x=7/2 or 3.5

check: 6(7/2) -1 =4(7/2)+6

21-1 =14+6

20=20 correct

6 0

3 years ago

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

Can you help me answer this

Ipatiy [6.2K]

2149 seats. Since 2149 rounds down to 2100 at the nearest hundred, this is the greatest amount of seats possible in the stadium. If there were 2150 seats, it would round to 2200 seats, so 2149 seats is the correct answer.

Hope this helps!

5 0

3 years ago

Using the table tool, create a truth table for compound statement ~p^~q.

Nataliya [291]

Answer:

Step-by-step explanation:

See the attachment for the chart

4 0

3 years ago