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3 years ago

Which of the following is the rational exponent expression of 4√f (fourth root of f) ? choices: f^1/4

2 answers:

5 0

Te answer is <span>f^1/4

Expression is </span><span>fourth root of f: </span> $\sqrt[4]{f}$

Since: $\sqrt[n]{ x^{m} } = x^{m/n}$

Then: $\sqrt[4]{f} =\sqrt[4]{f^{1} }= f^{1/4}$

Bas_tet [7]3 years ago

3 0

Correct Answer: A

5 of 5 points

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Laboratory experiment shows that the life of the average butterfly is normally distributed with a mean of 18.8 days and a standa

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Answer:

a) 0.4164

Step-by-step explanation:

Mean lifespan (μ) = 18.8 days

Standard deviation (σ) = 2 days

For any given lifespan 'X', the z-score is:

$z=\frac{X- \mu}{\sigma} \\z=\frac{X- 18.8}{2}$

For X=12.04 days:

$z=\frac{12.04 - 18.8}{2} \\z=-3.38$

A z-score of -3.38 falls in the 0.036-th percentile of a normal distribution.

For X=18.38 days:

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A z-score of -3.38 falls in the 41.68th percentile of a normal distribution.

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$P=41.68-0.036\\P=41.64\%\ or\ 0.4164$

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3 years ago

Question 1(Multiple Choice Worth 1 points)

Galina-37 [17]

Answer:

The answer is b. x= 2, -1

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3 years ago

Find the slope of the line that passes through the points (3,0) and (-11,-15) ✨

Nonamiya [84]

15/14 is your answer lol

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Use Laplace transforms to solve the initial value problem, then give the value of x(?).

Sophie [7]

Answer:

x = 5 cos 2t

Step-by-step explanation:

given equation

x'' + 4x = 0 ; x(0) = 5, x'(0) = 0

L{ x'' + 4 x } = 0

L{x''} + 4 L{x} = 0

s² . L(x) - s . x(0) - x'(0) + 4 L{x} = 0

( s² + 4 ). L(x) - 5 s = 0

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so,

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