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bezimeni [28]
2 years ago
9

What does it mean for statements to be logically equivalent?

Mathematics
1 answer:
nlexa [21]2 years ago
8 0

Answer:

Two statement forms are called logically equivalent if they have identical truth values for each possible substitution for their statement variables.

Step-by-step explanation:

hope this helps <333

brainliest plz :) ?

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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
What is the amount f rainfall that Miami receives, round to the nearest half or whole? 55 9/10"
Vlad1618 [11]

Answer:

56"

Step-by-step explanation:

3 0
3 years ago
How many floors does she travel?
tekilochka [14]

Answer:

15 floors

Step-by-step explanation:

She parks on the third floor below ground +3

She goes up to the twelfth floor +12

3+12=15

7 0
3 years ago
Barb and John each have a savings account with a sum of money in it. Barb and John each begin to add a set amount of money each
BigorU [14]

Answer:

The answers are, "John saves $35 dollars the first week" and "John is saving at a faster rate than Barb"


8 0
4 years ago
Read 2 more answers
Plz help!:&gt; also your so awesome, and I hope you have an amazing day!<br><br>​
statuscvo [17]
It’s graph 2 because it is. There is a pause for the taking the bath and then the emptiest mhm so it can’t be graph 3
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3 years ago
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