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olganol [36]
3 years ago
8

THIS IS DUE NOW PLEASE HELP

Mathematics
1 answer:
borishaifa [10]3 years ago
8 0
B at least 4 46 divide 12 equals 3.8333333... 3.8 rounded is 4
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<span>Given the polar coordinate (r,θ), write. x=rcos θ and. y=rsin θ.Evaluate cos θ and. sin θ.Multiply cos θ by. r. to find the x-coordinate of the rectangular form.<span>Multiply sin θ by. r. to find the y-coordinate of the rectangular form.</span></span>
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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:
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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
The height of the plant is given by the equation h = 0.5d + 4. Rewrite this as a function rule where f(x) is the height, in cent
ad-work [718]

Answer:

Here's what I get  

Step-by-step explanation:

h = 0.5d + 4

A function rule tells you how to convert an input value (x) into an output value (y).

Your function rule is

ƒ(x) = 0.5x + 4

An easy way to represent your function is to make a graph.

The easiest way to make a graph is to make a table containing some inputs and their corresponding outputs.  

Here's a typical table.

\begin{array}{cc}\textbf{x}  &\textbf{y} \\0 & 4 \\2 & 5 \\4 & 6 \\6 & 7\\6 & 8 \\\end{array}

The graph is like the one below.

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Tyger uses brick which are 7cm tall to build a tower.His final tower is 26 bricks high.How many cm tall is it?
iris [78.8K]
If the 26 bricks are each 7 cm, seems like multiplication or repeated addition would solve the problem. Multiplication would be faster. 26 x 7 = 182
182 cm tall.
3 0
3 years ago
Read 2 more answers
Someone please help me out with this algebra question 100% correct only
77julia77 [94]
The answer is:  [D]:  " 2.6 " .
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Given:  a =  - 2.6 ;  What is the value of "-a "?
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So, what is the value of " - (-2.6)" ?
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The opposite of a negative is a positive;
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7 0
3 years ago
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