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1 year ago

The One-to-One Property of natural logarithms states that if ln x = ln y, then _____

Mathematics

1 answer:

MrRissso [65]1 year ago

4 0

Answer:

x=y

Step-by-step explanation:

There is exactly one value of x for a value of the function by the one-to-one property.

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Which expression is equivalent to logw((x^2-6)^4/(cube root x^2+8))

Arturiano [62]

Answer: The expression is in the explanation.

Step-by-step explanation:

Please find the attached file for the solution.

5 0

1 year ago

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An Olympic athlete of mass 80kg competes in a 100m race. What is the best estimate of his mean kinetic energy during the race?

kipiarov [429]

For this question, you need to know that the average velocity of a 100m Olympic athlete is 10 m/s before you start solving the equation. The equation is K (energy in Jules) = 1/2 mv^2 (where m is the mass in kg and v the speed in meters per second).
The correct answer is 4000J. To see how I got it, take a look at the attachment.

3 0

1 year ago

If f(x) = (xm + 9)2, which statement about f(x) is true?

Marina CMI [18]

Answer:

The correct statement for the given function is:

f(x) is an even function for all even values of m.

Step-by-step explanation:

The correct statement for the given function is:

f(x) is an even function for all even values of m.

The given function(x^m+9)^2 is a quadratic equation. The term Quadratic means the variable gets squared. if m is an even number, that would result also to an even function....

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1 year ago

For a standardized psychology examination intended for psychology majors, the historical data show that scores have a mean of 52

Ludmilka [50]

Answer:

the probability that a sample of the 35 exams will have a mean score of 518 or more is 0.934 or 93.4%.

Step-by-step explanation:

This is s z-test because we have been given a sample that is large (greater than 30) and also a standard deviation. The z-test compares sample results and normal distributions. Therefore, the z-statistic is:

(520 - 518) / (180/√35)

= 0.0657

Therefore, the probability is:

P(X ≥ 0.0657) = 1 - P(X < 0.0657)

where

X is the value to be standardised

Thus,

P(X ≥ 0.0657) = 1 - (520 - 518) / (180/√35)

= 1 - 0.0657

= 0.934

Therefore, the probability that a sample of the 35 exams will have a mean score of 518 or more is 0.934 or 93.4%.

3 0

1 year ago

James has a desk job and would like to become more fit, so he purchases a tread walker and a standing desk which will allow him

Hitman42 [59]

Answer:

answer is

$-0.245 \pm2.160(0.205)$

Step-by-step explanation:

After working this way for 6 months he takes a simple random sample of 15 days. He records how long he walked that day (in hours) as recorded by his fitness watch as well as his billable hours for that day as recorded by a work app on his computer.

Slope is -0.245

Sample size n = 15

Standard error is 0.205

Confidence level 95

Sognificance level is (100 - 95)% = 0.05

Degree of freedom is n -2 = 15 -2 = 13

Critical Value =2.16 = [using excel = TINV (0.05, 13)]

Marginal Error = Critical Value * standard error

= 2.16 * 0.205

= 0.4428

$-0.245 \pm2.160(0.205)$

8 0

2 years ago

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