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3 years ago

What is 2(log^3 8+log^3^Z)-log3(3^4-7^2)written as a single logarithm

Mathematics

2 answers:

Ulleksa [173]3 years ago

8 0

Answer:

it's B log3 2z^2

Step-by-step explanation:

lozanna [386]3 years ago

3 0

<span> We are given the expression 2(log^3 8+log^3^Z)-log3(3^4-7^2) and is asked to simplify this expression. The rules that apply here is that with the same base, for logarithmics that are added, the simplified expression is the product of the two numbers. On the other hand, for subtraction operations, the simplified expression is the quotient of the two numbers. The coefficient before the logarithmic expression becomes the power of the numbers inside.

Thus,
</span><span> 2(log^3 8+log^3^Z)-log3(3^4-7^2) = 2(log 3 (8*Z)) - log 3 (32))
= 2 log 3 (8Z/32) = 2 log 3 (Z/4)
Then, we move the coeffiicient of 2 inside which becomes,
= log 3 (Z/4)^2 = log 3 (Z2/16) </span>

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4 years ago

The increase in a personâ€™s body temperature T(t), above 98. 6ÂşF, can be modeled by the function T (t) = StartFraction 4 t Ove

kvv77 [185]

The meaning of the horizontal asymptote for the given function is that;

The horizontal asymptote of y = 0 means that the person’s temperature will approach 98.6ºF as time elapses

We are told the increase in a person's body temperature above 98.6°F can be modeled by the function;

T(t) = 4t/(t² + 1)

Where;

t represents the time elapsed

Now, let us find a way to simplify the function so that t at the numerator is removed.

Thus, we will now have;

4t/(t² + 1) = 4/(t + (1/t))

To get the horizontal asymptote, we have to find the limit of the function as t approaches infinity.

Thus;

Lim t ➡ ∞ gives;

T(∞) = 4 × 1/(∞ + (1/∞))

T(∞) = 4 × 0

T(∞) = 0

This means that y = 0 is the horizontal asymptote of the function.

Thus, in conclusion The horizontal asymptote of y = 0 means that the person’s temperature will approach 98.6ºF as time elapses

Read more on horizontal asymptote at; brainly.com/question/8493280

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3 years ago

"How much do students pay, on average, for textbooks during the first semester in college? From a random sample of 400 students

dezoksy [38]

Answer: The margin of error = 3.71, confidence interval = (354.04, 361.46) and it means that mean cost is lies within the confidence interval.

Step-by-step explanation:

Since we have given that

Sample size = 400

Mean = $357.75

Standard deviation = $37.89

At 95% confidence level, z = 1.96

We first find the margin of error.

Margin of error is given by

$z\times \dfrac{\sigma}{\sqrt{n}}\\\\=1.96\times \dfrac{37.89}{\sqrt{400}}\\\\=3.71$

95% confidence interval would be

$\bar{x}\pm \text{margin of error}\\\\=357.75\pm 3.71\\\\=(357.75-3.71,357.75+3.71)\\\\=(354.04,361.46)$

Hence, the margin of error = 3.71, confidence interval = (354.04, 361.46) and it means that mean cost is lies within the confidence interval.

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4 years ago