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Allushta [10]
3 years ago
5

(PLEASE HELP ASAP!!!)Micheal has five different stocks that he watches on a daily basis. The table shows the change in each stoc

k price in dollars at the end of a trading day.
What is the correct order of the rational numbers in the table from least to greatest?

A) -1.5, 2.9, -1/2, 3 3/4, 4.6

B) -1/2, -1.5, 2.9, 3 3/4, 4.6

C) -1.5, -1/2, 2.9, 3 3/4, 4.6

D) 4.6, 3 3/4, 2.9, -1/2, -1.5

Mathematics
1 answer:
inna [77]3 years ago
3 0

Answer:

C

Step-by-step explanation:

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A roast turkey is taken from an oven when its temperature has reached 185 degrees F and is placed on a table in a room where the
Vedmedyk [2.9K]
(a) Using Newton's Law of Cooling, \dfrac{dT}{dt} = k(T - T_s), we have \dfrac{dT}{dt} = k(T - 75) where T is temperature after T minutes.
Separate by dividing both sides by T - 75 to get \dfrac{dT}{T - 75} = k dt. Integrate both sides to get \ln|T - 75| = kt + C.

Since T(0) = 185, we solve for C:
|185 - 75| = k(0) + C\ \Rightarrow\ C = \ln 110
So we get \ln|T - 75| = kt + \ln 110. Use T(30) = 150 to solve for k:
\ln| 150 - 75 | = 30k + \ln 110\ \Rightarrow\ \ln 75 - \ln 110= 30k \Rightarrow \\ k= \frac{1}{30}\ln (75/110) = \frac{1}{30}\ln(15/22)

So

\ln|T - 75| = kt + \ln 110 \Rightarrow |T - 75| = e^{kt + \ln110} \Rightarrow \\ \\
|T - 75| = 110e^{kt} \Rightarrow T - 75 = \pm110e^{(1/30)\ln(15/22)t}  \Rightarrow \\
T = 75 \pm110e^{(1/30)\ln(15/22)t}

But choose Positive because T > 75. Temp of turkey can't go under.

T(t) = 75 + 110e^{(1/30)\ln(15/22)t} \\
T(45) = 75 + 110e^{(1/30)\ln(15/22)(45)}  = 136.929 \approx 137{}^{\circ}F

(b)

T(t) = 75 + 110e^{(1/30)\ln(15/22)t} = 75 + 110(15/22)^{t/30}  \\
100 = 75 + 110(15/22)^{t/30}   \\
25 = 110(15/22)^{t/30}  
\frac{25}{110} = (15/22)^{t/30}   \\
\ln(25/110) / ln(15/22) = t/30 \\
t = 30\ln(25/110) / ln(15/22)  \approx 116\ \mathrm{min}

Dogs of the AMS.
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3 years ago
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Sladkaya [172]

Answer: 1 and 3/70

Explanation: Find the least common denominator and then combine like terms. The LCM is 70.

8 0
3 years ago
What is the answer to 3k=−2(7+2k)
laiz [17]
I think k equals negative 2, or -2.<span>
</span>
7 0
3 years ago
Read 2 more answers
Rewrite <img src="https://tex.z-dn.net/?f=%5Cfrac%7B200x%20-%20300%7D%7Bx%7D" id="TexFormula1" title="\frac{200x - 300}{x}" alt=
lord [1]

Answer:

We can rewrite this as \frac{200x}{x} + \frac{-300}{x}.

\frac{200x}{x} simplifies to 200 after eliminating x from the numerator and denominator and \frac{-300}{x} becomes -\frac{300}{x} so the final answer is 200 - \frac{300}{x}.

6 0
3 years ago
Can you help with this problem 5×-(14-×)=-30-2×​
REY [17]

Answer:

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Step-by-step explanation:

First remove parenthesis. Next collect the like terms. Next move terms. Next collect the like terms and calculate. Divide both sides by 8. Your answer is -2

6 0
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