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Morgarella [4.7K]
3 years ago
8

Please help me!

Mathematics
1 answer:
Temka [501]3 years ago
7 0
7. Answer is D! 1 to the 3rd power, 1^3, or 1 cubed as you'll hear it, is 1 because when something is cubed that means it's times itself 3 times. (EX: 4^3 = 4x4x4) 2 cubed is 8. 3 cubed is 27. 4 cubed is 64 and 5 cubed is 125!

8. Answer is C! A is gaining speed and B is the capped speed, meaning it can't get any higher, and C is the loss of speed.
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the length of a rectangle is 4/5 feet the width is 5/8 feet how much greater is the length of a rectangle than the width
Eva8 [605]
4/5(8)= 32/40
5/8(5)= 25/40
You have to get the same denominator to be able to subtract so multiply one fractions denominator by the other so it becomes the same, and vise versa.
32/40-25/40= 7/40 which cannot be simplified.
Answer= 7/40 greater than the width.
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What is 9 times 2/8 equal ? Please help
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X = -2

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Use logarithmic differentiation to find dy/dx: y=((x^3)(2x+3)^1/2) / (x-2)^2
sukhopar [10]
y=\frac { { { x }^{ 3 }\left( 2x+3 \right)  }^{ \frac { 1 }{ 2 }  } }{ { \left( x-2 \right)  }^{ 2 } }

\\ \\ { \left( x-2 \right)  }^{ 2 }\cdot y={ x }^{ 3 }{ \left( 2x+3 \right)  }^{ \frac { 1 }{ 2 }  }

\\ \\ \ln { \left( { \left( x-2 \right)  }^{ 2 }\cdot y \right)  } =\ln { \left( { x }^{ 3 }{ \left( 2x+3 \right)  }^{ \frac { 1 }{ 2 }  } \right)  }

\\ \\ \ln { \left( { \left( x-2 \right)  }^{ 2 } \right)  } +\ln { y } =\ln { \left( { x }^{ 3 } \right)  } +\ln { \left( { \left( 2x+3 \right)  }^{ \frac { 1 }{ 2 }  } \right)  }

\\ \\ 2\ln { \left( x-2 \right)  } +\ln { y } =3\ln { x } +\frac { 1 }{ 2 } \ln { \left( 2x+3 \right)  }

\\ \\ \ln { y } =3\ln { x } -2\ln { \left( x-2 \right)  } +\frac { 1 }{ 2 } \ln { \left( 2x+3 \right)  }

\\ \\ \frac { 1 }{ y } \cdot \frac { dy }{ dx } =\frac { 3 }{ x } -\frac { 2 }{ x-2 } +\frac { 1 }{ 2x+3 }

\\ \\ y\cdot \frac { 1 }{ y } \cdot \frac { dy }{ dx } =y\left( \frac { 3 }{ x } -\frac { 2 }{ x-2 } +\frac { 1 }{ 2x+3 }  \right)

\\ \\ \frac { dy }{ dx } =\frac { { x }^{ 3 }\sqrt { 2x+3 }  }{ { \left( x-2 \right)  }^{ 2 } } \cdot \left( \frac { 3 }{ x } -\frac { 2 }{ x-2 } +\frac { 1 }{ 2x+3 }  \right)
4 0
3 years ago
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