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omeli [17]
2 years ago
11

Describe the end behavior of the function. f(x)=3(1/5)^x-2

Mathematics
2 answers:
Solnce55 [7]2 years ago
8 0

Answer:

  x → -∞, f(x) → ∞

  x → ∞, f(x) → -2

Step-by-step explanation:

f(x) is an exponential function with a base less than 1. It represents decay, so will approach infinity as x approaches negative infinity. It will approach a horizontal asymptote for large positive x.

The -2 added to the exponential term moves the asymptote from y=0 to y=-2.

  x → -∞, f(x) → ∞

  x → ∞, f(x) → -2

Likurg_2 [28]2 years ago
5 0

Answer:

The leading coefficient test requires a polynomial.

Not a polynomial

Step-by-step explanation:

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Answer:

4 different outcomes based on color or 10 based on amount.

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I don't think it is specific enough for a definite answer.

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Radioactive Decay:
Vadim26 [7]

The question is incomplete, here is the complete question:

The half-life of a certain radioactive substance is 46 days. There are 12.6 g present initially.

When will there be less than 1 g remaining?

<u>Answer:</u> The time required for a radioactive substance to remain less than 1 gram is 168.27 days.

<u>Step-by-step explanation:</u>

All radioactive decay processes follow first order reaction.

To calculate the rate constant by given half life of the reaction, we use the equation:

k=\frac{0.693}{t_{1/2}}

where,

t_{1/2} = half life period of the reaction = 46 days

k = rate constant = ?

Putting values in above equation, we get:

k=\frac{0.693}{46days}\\\\k=0.01506days^{-1}

The formula used to calculate the time period for a first order reaction follows:

t=\frac{2.303}{k}\log \frac{a}{(a-x)}

where,

k = rate constant = 0.01506days^{-1}

t = time period = ? days

a = initial concentration of the reactant = 12.6 g

a - x = concentration of reactant left after time 't' = 1 g

Putting values in above equation, we get:

t=\frac{2.303}{0.01506days^{-1}}\log \frac{12.6g}{1g}\\\\t=168.27days

Hence, the time required for a radioactive substance to remain less than 1 gram is 168.27 days.

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3 years ago
Is 15 a factor or a multiple
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Step-by-step explanation:

Factors and multiples are different things. But they both involve multiplication. Factors are what we can multiply to get the number. Multiples are what we get after multiplying the number by an integer

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<h2><em>The equation would be d=90t because the input is 25 for t and multiply to get 2250 feet per second</em>. </h2>
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3 years ago
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