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3 years ago

What is the answer for .66divided by 15.18

Mathematics

1 answer:

Sav [38]3 years ago

7 0

Hi there!

0.66 ÷ 15.18 = 0.04347826

0.66 ÷ 15.18 ≅0.04

There you go! I really hope this helped, if there's anything just let me know! :)

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The population of a suburb grows at a rate proportional to the population. Suppose the population doubles in size from 3000 to 6

frozen [14]

Answer:

$P(t) = 3000e^{0.1155t}$

Step-by-step explanation:

The growth of the population can be modeled by the following differential equation:

$\frac{dP}{dt} = rP$

Where r is the growth rate, P is the population, and t is the time measures in months.

I am going to solve the above differential equation with the separation of variables method.

$\frac{dP}{P} = rdt$

Integrating both sides:

$ln P = rt + P(0)$

Where P(0) is the initial condition

We need to isolate P in this equation, so we do this

$e^{ln P} = e^{rt + P(0)}$

$P(t) = P(0)e^{rt}$

The problem states that P(0)=3000, so:

$P(t) = 3000e^{rt}$

The problem wants us to find the value of r:

It states that the population doubles in size from 3000 to 6000 in a 6- month period, meaning that P(6) = 6000. So

$6000 = 3000e^{6r}$

$e^{6r} = 2$

To isolate 6r, we apply ln to both sides.

$ln (e^{6r}) = ln 2$

$6r = 0.693$

$r = \frac{0.693}{6}$

r = 0.1155

The particular solution to the differential equation with the initial condition P(0)=3000 is:

$P(t) = 3000e^{0.1155t}$

5 0

3 years ago

What is the definition of a term?

liberstina [14]

Answer:

Step-by-step explanation:

In math, a term is a combination of coefficients, constants and /or variables, each combination being separated by either a + sign or a - sign.

7 0

3 years ago

Which statement is true about the function f(x) = -x?

Nataly [62]

Answer:

The answer is "It has the same domain as the function f(x) = --x".

Step-by-step explanation:

If we consider its parent function that is: y= x

Domain function is: $x \in (0, \infty)$

The range function is: $y \in (0, \infty)$

The function has both the same (domain and range).

6 0

3 years ago

A university with a high water bill is interested in estimating the mean amount of time that students spend in the shower each d

Bas_tet [7]

Answer: $(4.0845,\ 6.5755)$

Step-by-step explanation:

As per given , we have

n = 11

$\overline{x}=5.33\\\\ s=1.33$

Since population standard deviation is missing, so we use t-test.

Critical t-value for 99% confidence :

$t_{\alpha/2,\ n-1}=3.106$ [using two-tailed t-value table]

Confidence interval :

$\overline{x}\pm t_{\alpha/2}\dfrac{s}{\sqrt{n}}\\\\= 5.33\pm (3.1060)\dfrac{1.33}{\sqrt{11}}\\\\\approx5.33\pm1.2455\\\\=(5.33-1.2455,\ 5.33+1.2455)\\\\=(4.0845,\ 6.5755)$

Hence, 99% confidence interval for the mean amount of time that students spend in the shower each day.= $(4.0845,\ 6.5755)$

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2 years ago

9(d − 93) = –36 d = _______

goldenfox [79]

Steps to solve:

9(d - 93) = -36d

~Distribute

9d - 837 = -36d

~Subtract 9d to both sides

-837 = -45d

~Divide -45 to both sides

18.6 = d

Best of Luck!

4 0

3 years ago