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3 years ago

What is the domain of the finction f(x)= x^s

Mathematics

1 answer:

Drupady [299]3 years ago

5 0

Answer:

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Step-by-step explanation:

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The wind speed s (in miles per hour) is related to the distance (in miles) the tornado travels by the equation s = 93log d + 65.

Vesnalui [34]

Answer:

The distance the tornado traveled was approximately 205 miles.

Step-by-step explanation:

The equation representing the relationship between the wind speed (in miles per hour) and the distance the tornado travels (in miles) is:

$s=93\log d+65$

Compute the value of <em>d</em> for <em>s</em> = 280 as follows:

$s=93\log d+65$

$280=93\log d+65$

$93\log d=280-65\\93\log d=215$

$\log d=2.312\\$

$d=10^{2.312}\\d=205.035\\d\approx 205$

Thus, the distance the tornado traveled was approximately 205 miles.

7 0

3 years ago

Which of the following best describes the expression 7(y + 5)?

Afina-wow [57]

I dont know what you're asking, the property? That is distributive, and the answer of the expression is 7y+35

7 0

3 years ago

What is the y-intercept of the polynomial f(x)f(x) defined below? Write the y-value only. f(x)=-4x^2+x^5+10x^3+5x+8x^4

Debora [2.8K]

Answer:

Step-by-step explanation:

stop cheating lololololol

3 0

2 years ago

Assume that when adults with smartphones are randomly selected, 54% use them in meetings or classes (based on data from an lg sm

GuDViN [60]

Answer: 0.951%

Explanation:

Note that in the problem, the scenario is either the adult is using or not using smartphones. So, we have a yes or no scenario involved with the random variable, which is the number of adults using smartphones. Thus, the number of adults using smartphones follows the binomial distribution.

Let x be the number of adults using smartphones and n be the number of randomly selected adults. In Binomial distribution, the probability that there are k adults using smartphones is given by

$P(x = k) = \frac{n!}{k!(n-k)!}p^k (1-p)^{n-k}$

Where p = probability that an adult is using smartphones = 54% (since 54% of adults are using smartphones).

Since n = 12 and k = 3, the probability that fewer than 3 are using smartphones is given by

$P(x \ \textless \ 3) = P(x = 0) + P(x = 1) + P(x = 2)
\\ \indent = \frac{12!}{0!(12-0)!}(0.54)^0 (1-0.54)^{12-0} + \frac{12!}{1!(12-1)!}(0.54)^1 (1-0.54)^{12-1} + \\ \indent \frac{12!}{2!(12-2)!}(0.54)^2 (1-0.54)^{12-2}
\\
\\ \indent = \frac{12!}{(1)(12!)}(0.46)^{12} + \frac{12(11!)}{(1)(11!)}(0.54)(0.46)^{11}+ \frac{12(11)(10!)}{(2)(10!)}(0.54)^2(0.46)^{10}
\\
\\ \indent = (1)(0.46)^{12} + (12)(0.54)(0.46)^{11}+ (66)(0.54)^2(0.46)^{10}
\\ \indent \boxed{P(x \ \textless \ 3) \approx 0.00951836732 }
$

Therefore, the probability that there are fewer than 3 adults are using smartphone is 0.00951 or 0.951%.

5 0

3 years ago

The formula for estimating the number, N, of a certain product sold is N = 8800ln(7t + 9), where t is the number of years after

arsen [322]

To determine or predict the expected number of sales after 2 years, we substitute 2 to the t of the givne equation.
N = (8800)xln(7(2) + 9)
N = 27,592.34
Thus, it is expected that the number of sales after 2 years is 27,592 units.

6 0

3 years ago