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In-s [12.5K]
2 years ago
12

Please help with this math

Mathematics
1 answer:
Studentka2010 [4]2 years ago
7 0

Answer:

I believe it’s C

Step-by-step explanation:

let me know if right if am mark brainliest pls

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The Kappa Iota Sigma Fraternity polled its members on the weekend party theme. The vote was as follows: six for toga, four for h
Nadusha1986 [10]

Answer:

<u><em>note:</em></u>

<u><em>solution is attached</em></u>

3 0
3 years ago
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 \\ \\&#10;|T - 75| = 110e^{kt} \Rightarrow T - 75 = \pm110e^{(1/30)\ln(15/22)t}  \Rightarrow \\&#10;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} \\&#10;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}  \\&#10;100 = 75 + 110(15/22)^{t/30}   \\&#10;25 = 110(15/22)^{t/30}  &#10;\frac{25}{110} = (15/22)^{t/30}   \\&#10;\ln(25/110) / ln(15/22) = t/30 \\&#10;t = 30\ln(25/110) / ln(15/22)  \approx 116\ \mathrm{min}

Dogs of the AMS.
4 0
3 years ago
Let p represent any number in the interval (- 18,22). Rewrite the possible values for p in inequality notation.
Nataliya [291]

Answer:

-18 < p < 22

Step-by-step explanation:

We are given the following information in the question.

The open interval: (- 18,22).

Let p belong to the given interval then p represents all the values belonging to the given interval.

Open Interval: An open interval is a interval that does not include the end points.

Thus, we can write:

-18 < p < 22

is the required inequality form required.

That is p can take values greater than -18 and smaller than 22.

6 0
3 years ago
Answer:<br><br> y=<br> Include no spaces in your answer.
olasank [31]
The answer is y = -2
4 0
3 years ago
Yeah I need help…..<br> Do your work soldiers
Aloiza [94]

I can’t, sir! I cannot leave my post to help with your math problems, over!

8 0
2 years ago
Read 2 more answers
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