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torisob [31]
3 years ago
10

Sarah uses 9.9 pints of blue paint and white paint to paint her bedroom walls. 3/5

Mathematics
1 answer:
saul85 [17]3 years ago
8 0

Answer: 3.96 pints

Step-by-step explanation: if 3/5 is blue, then 2/5 has to be white (since 3/5 + 2/5 = 1). Multiply 9.9 by 2/5 to get 3.96 pints

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Step-by-step explanation:

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3 years ago
Find all values of $x$ such that $\sqrt{4x^2} - \sqrt{x^2} = 6$.
Eddi Din [679]

9514 1404 393

Answer:

  x = -6 or 6

Step-by-step explanation:

The square root is always positive, so the equation simplifies to ...

  \sqrt{4x^2}-\sqrt{x^2}=6\\\\2|x|-|x|=6\\\\|x|=6\\\\x=\{-6,\ 6\}

_____

The graph shows the solutions to f(x) = 0, where f(x) = √(4x²) -√(x²) -6.

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3 years ago
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3 years ago
Use appropriate algebra and theorem 7.2.1 to find the given inverse laplace transform. (write your answer as a function of t.) −
aleksley [76]
When it comes to laplace equations, there are transformation equations to follow. Generally, when you want to transform a laplace equation, you change the equation from f(t) to F(s). If you do the reverse, it is called the reverse laplace equation.

Based on the given, the useful transformation equation is shown in the attached picture.

When the term is s^2, that must mean that the equation is 1!/s^(1+1) to yield 1/s^2. This means that n=1. Taking the reciprocal s^2 must be equal to 1/t. Thus, for the first term, -11s^2 is equal to -11/t. For the second term, n must be equal to 6 so that 6!/s^(6+1) would yield 720/s^7. Thus, 720s^7 is equal to 1/t^6. 

Hence, the transformed equation is -11/t - 1/t^6

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Answer:

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Step-by-step explanation:

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3 years ago
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