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Juli2301 [7.4K]
3 years ago
15

Tom is sorting cookies with his little sister Betty. He notices that when he takes a cookie she takes three cookies, when he tak

es two cookies she takes six, and so on. What type of relationship is there between their cookie-taking behaviors? A) nonproportional B) directly proportional C) inversely proportional
Mathematics
2 answers:
NeX [460]3 years ago
8 0
B. they are directly proportional because she keeps taking 3 at a time to his 1 at a time.
mezya [45]3 years ago
3 0
Directly proportional relationship that is 1 to 3
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For this case, the first thing we must do is calculate the total cost.
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What is 5/8 as a decimal??
Angelina_Jolie [31]
5/8 as a decimal would be 0.625. :)
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Does the order pair (2,-8) satisfy the following function? y=-2x-5 Yes,No
Ludmilka [50]
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4 0
3 years ago
Please help me answer this question
ratelena [41]

By the definition of the hyperbolic function tanh x, we have proven that \frac{1-tanh \ x}{1 + tanh \ x}=e^{-2x}

<h3>Hyperbolic functions & Proof of identities </h3>

By definition

tanh \ x=\frac{e^{x} -e^{-x}}{e^{x} +e^{-x}}

Then,

\frac{1-tanh \ x}{1 + tanh \ x}=\frac{1-\frac{e^{x} -e^{-x}}{e^{x} +e^{-x}} }{1+ \frac{e^{x} -e^{-x}}{e^{x} +e^{-x}} }

=1-\frac{e^{x} -e^{-x}}{e^{x} +e^{-x}} \div (1+ \frac{e^{x} -e^{-x}}{e^{x} +e^{-x}} })

=\frac{e^{x} +e^{-x}-(e^{x} -e^{-x})}{e^{x} +e^{-x}} \div (\frac{e^{x} +e^{-x}+e^{x} -e^{-x}}{e^{x} +e^{-x}} })

=\frac{e^{x} +e^{-x}-e^{x} +e^{-x}}{e^{x} +e^{-x}} \div \frac{e^{x} +e^{-x}+e^{x} -e^{-x}}{e^{x} +e^{-x}} }

=\frac{e^{-x}+e^{-x}}{e^{x} +e^{-x}} \div \frac{e^{x} +e^{x} }{e^{x} +e^{-x}} }

=\frac{2e^{-x}}{e^{x} +e^{-x}} \div \frac{2e^{x} }{e^{x} +e^{-x}} }

=\frac{2e^{-x}}{e^{x} +e^{-x}} \times \frac{e^{x} +e^{-x}}{2e^{x}}

=\frac{2e^{-x}}{1} \times \frac{1}{2e^{x}}

=\frac{2e^{-x}}{2e^{x}}

=\frac{e^{-x}}{e^{x}}
=e^{-x} \times \frac{1}{e^{x}}

= e^{-x} \times e^{-x}

= e^{-x+-x}

= e^{-x-x}

= e^{-2x}

Hence, we have proven that \frac{1-tanh \ x}{1 + tanh \ x}=e^{-2x}

Learn more on Proof of Identities here: brainly.com/question/2561079

#SPJ1

6 0
2 years ago
Ben had 10 football jerseys. After his birthday, he increased his collection by 4 jerseys. Caleb, bens best friend had 6 jersey
finlep [7]

Answer:no

Step-by-step explanation:

Because if he got 2 and the other boy got 4 then the other boy had 2 more that he did

3 0
3 years ago
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