2x+2y =8 3x-2y=7 solve using elimination

Mathematics

1 answer:

Natalka [10]3 years ago

3 0

Answer:

Easy peasy, hope it can help you!

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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

Write the ratio as a fraction in simplest form. 5 meters : 20 meters

Alexus [3.1K]

Answer:

$\frac{1}{4}$

Step-by-step explanation:

Given the ratio

5 m : 20 m ← divide both parts by 5

= 1 : 4

= $\frac{1}{4}$ ← as a fraction in simplest form

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3 years ago

Plz help me with these two questions

yuradex [85]

I cant see the color so i cant answer if u add the color i will answer

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3 years ago

How do I write this expression:The quantity seven plus Z, squared

Dmitry_Shevchenko [17]

Answer:

(7+Z)²

Step-by-step explanation:

A less ambiguous way to describe the quantity might be "the square of the quantity seven plus Z".

As it is, we rely on the presence of the comma to tell us that the quantity to be squared is (7+Z). If the comma were not present, we would assume you want to add 7 to the square of Z: 7+Z².

the quantity 7 plus Z: (7+Z)

that quantity squared: (7+Z)²

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3 years ago

The makers of a soft drink want to identify the average age of its consumers. A sample of 25 consumers was taken. The average ag

Lelu [443]

Answer:

a.1.90 years

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So: