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OleMash [197]
3 years ago
7

I need help with question because I not very good a math please help

Mathematics
1 answer:
Fittoniya [83]3 years ago
5 0
Sorry I am not good at math either
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The original triangle shown in the
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i think (2,2)

Step-by-step explanation:

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3 years ago
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3 years ago
A tank contains 1600 L of pure water. Solution that contains 0.04 kg of sugar per liter enters the tank at the rate 2 L/min, and
goldfiish [28.3K]

Let S(t) denote the amount of sugar in the tank at time t. Sugar flows in at a rate of

(0.04 kg/L) * (2 L/min) = 0.08 kg/min = 8/100 kg/min

and flows out at a rate of

(S(t)/1600 kg/L) * (2 L/min) = S(t)/800 kg/min

Then the net flow rate is governed by the differential equation

\dfrac{\mathrm dS(t)}{\mathrm dt}=\dfrac8{100}-\dfrac{S(t)}{800}

Solve for S(t):

\dfrac{\mathrm dS(t)}{\mathrm dt}+\dfrac{S(t)}{800}=\dfrac8{100}

e^{t/800}\dfrac{\mathrm dS(t)}{\mathrm dt}+\dfrac{e^{t/800}}{800}S(t)=\dfrac8{100}e^{t/800}

The left side is the derivative of a product:

\dfrac{\mathrm d}{\mathrm dt}\left[e^{t/800}S(t)\right]=\dfrac8{100}e^{t/800}

Integrate both sides:

e^{t/800}S(t)=\displaystyle\frac8{100}\int e^{t/800}\,\mathrm dt

e^{t/800}S(t)=64e^{t/800}+C

S(t)=64+Ce^{-t/800}

There's no sugar in the water at the start, so (a) S(0) = 0, which gives

0=64+C\impleis C=-64

and so (b) the amount of sugar in the tank at time t is

S(t)=64\left(1-e^{-t/800}\right)

As t\to\infty, the exponential term vanishes and (c) the tank will eventually contain 64 kg of sugar.

7 0
4 years ago
The city of Raleigh has 10400 registered voters. There are two candidates for city council in an upcoming election: Brown and Fe
iVinArrow [24]

Answer:

Step-by-step explanation:

Hello!

a) The population of interest is the registered voters of the city of Raleigh.

b) This population is finite and its size is 10400 voters.

c) The sample was taken by making a telephone poll, calling 400 registered voters.

d) The sample size is n= 400 voters

The number of people that answered they'd vote for Brown are 151, so the sample proportion of voters that would vote for bron is:

p= 151/400= 0.3775 ≅ 0.38

e) To know how many people is expected to vote for Brown based on the results of the telephone poll you can do the following calculation:

10400*0.38= 3952

Based on the information obtained from the sample, it is expected that only 3952 voters will vote for Brown.

4 0
4 years ago
Kourtnie and kayla are sisters who are taking the same classes this semester: dre 098, chm 130/130a, and aca 122. if kourtnie ea
Volgvan
W are r are not valid grades. I have attached the table associated with this question

Answer:
GPA = 3.625

Explanation:
GPA stands for "Grade Point Average".
It can be easily calculated by dividing the total grade points with the total number of hours.
Taking a look at the table, we can find that:
Total grade points = 29
Total hours = 8
Therefore:
GPA = 29 / 8 = 3.625

Hope this helps :)

5 0
4 years ago
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