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2 years ago

What is 0.1554 divided by 74?

Mathematics

2 answers:

umka2103 [35]2 years ago

5 0

Answer:

0.0021

Step-by-step explanation:

Black_prince [1.1K]2 years ago

3 0

Answer: 0.0021

Step-by-step explanation:

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The population P of a small town, measured in hundreds, is modeled by the inverse of the function P−1(t) = 10ln(50t − 1000), whe

AleksandrR [38]

Using the inverse function, it is found that the equation is:

$P(t) = \frac{e^{0.1t}}{50} + 20$

It's initial value is 20.

---------------------------

We want to find the inverse of:

$y = P^{-1}(t) = 10\ln{50t - 1000}$

To do this, we <u>exchange y and t, and isolate y.</u>

Then:

$10\ln{50y - 1000} = t$

$\ln{50y - 1000} = \frac{t}{10}$

$e^{\ln{50y - 1000}} = e^{0.1t}$

$50y - 1000 = e^{0.1t}$

$50y = e^{0.1t} + 1000$

$y = \frac{e^{0.1t} + 1000}{50}$

$y = \frac{e^{0.1t}}{50} + \frac{1000}{50}$

$P(t) = \frac{e^{0.1t}}{50} + 20$

It's initial value is:

$P(0) = \frac{e^{0.1(0)}}{50} + 20 = 0.02 + 20 = 20.02$

Rounding, 20.

A similar problem is given at brainly.com/question/23950969

5 0

2 years ago

Find the distance between each pair of parallel lines with the given equations.

Kazeer [188]

The first one is 6
The second one is 4

3 0

2 years ago

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An advertising agency that serves a major radio station wants to estimate the mean amount of time the station’s audience members

Flura [38]

Answer:

$n=(\frac{1.645(45)}{5})^2 =219.18 \approx 220$

So the answer for this case would be n=220 rounded up to the nearest integer

Step-by-step explanation:

Information given

$\sigma = 45$ represent the population deviation

$ME = 5$ represent the margin of error

The margin of error for the true mean is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

And on this case we have that ME =5 and we are interested in order to find the value of n, if we solve n from equation (4) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

The critical value for 90% of confidence interval now can be founded using the normal distribution. The significance level is $\alpha=1-0.9=0.1$ and the critical value would be $z_{\alpha/2}=1.645$ , replacing into formula (b) we got:

$n=(\frac{1.645(45)}{5})^2 =219.18 \approx 220$

So the answer for this case would be n=220 rounded up to the nearest integer

5 0

2 years ago

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Help Please?! I don’t know how to do this

Fofino [41]

Domain 0≤x≤12 this means the domain (x values) are between x=0 and x=12 and you started measuring the degree of temperature starting at a time of 0 and stopped measuring the temperature at a time of 12 hours

Range -4≤y≤4 this means the range (y values) are between y=-4 and y=4. The range is referring to the degree in celcius based on what time you measured it

Hope this helps!

6 0

2 years ago

What is the pattern in the values as the exponents increase? Powers of 2 Value 2 Superscript negative 5 StartFraction 1 Over 32

Tatiana [17]

Answer:

(D)Multiply the previous value by 2

Step-by-step explanation:

$\left|\begin{array}{c|c}$Powers of 2&Value\\2^{-5}&\frac{1}{32}\\\\2^{-4}&\frac{1}{16}\\\\2^{-3}&\frac{1}{8}\\\\2^{-2}&\frac{1}{4}\\\\ 2^{-1}&\frac{1}{2}\\\\2^{0}&1\end{array}\right|$

From the given table, we observe that the negative power of 2 reduces by 1 at each step.

$2^{-5}X2=2^{-4}\\2^{-4}X2=2^{-3}\\2^{-3}X2=2^{-2}$

Therefore, as the exponents increase, we multiply the previous value by 2 to obtain the next value.

The correct option is D.

6 0

2 years ago

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