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stiv31 [10]
3 years ago
13

Y 10 3 1 6. 1 19 3 linear or non linear

Mathematics
1 answer:
Julli [10]3 years ago
3 0

Answer:

Non-linear.

Step-by-step explanation:

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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
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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
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Step-by-step explanation:

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Help me pleaseee, will mark the Brainliest !
snow_lady [41]

Answer:

96

Step-by-step explanation:

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3 years ago
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342,802 to the nearest hundred thousands
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1. The number 3 is located in the hundred thousands place.

2. Since the number 4 is located in the ten thousands place, it's telling 3 to stay the same 

Stays the Same: 1,2,3,4
Goes Up: 5,6,7,8, etc...

342,802 ⇒ 300,000
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Which number sentence can be used to find 42 divied by 7
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