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2 years ago

1. Solve for the x and y intercepts:

1 answer:

4 0

To find the x-intercept, you simply make y equal to 0 and solve the equation for x. To find the y-intercept, you make x equal to 0 and solve for y. So, for number 1, the answer is D because when you set it to y equals 0, you get x=3 and when you set it to x equals 0, you get 4.
Number 2 we would do the same thing and get D as well.
Hope this helps!

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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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2 years ago

ANSWER SOON PLASE!! need to pass class. The equation of a parabola is 1/16(y+3)^2=x+4. What are the coordinates of the focus?

klasskru [66]

Answer:

(0,-3)

Step-by-step explanation:

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2 years ago

The area of a rectangle is 3535 square meter. the width is 2525 meter.

GaryK [48]

A, using the formula length= Area: width
and we have the length= 3535:2525= 1,4 m or this number as a fraction 14/10=7/5
But the length is smaller than the width?

b, I think you type wrongly the problem

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3 years ago

Suppose a computer virus begins by infecting 8 computers in the first hour after it is released. Each hour after that, each newl

Mila [183]

$y=8^x
\\x=1\Rightarrow y=8^1=8
\\x=2\Rightarrow y=8^2=64
\\x=3\Rightarrow y=8^3=512
\\x=4\Rightarrow y=8^4=4,096$

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2 years ago

Evaluate:<br> 12.16 x .13 =

nordsb [41]

Answer:

1.5808

Step-by-step explanation:

rounded

hundreds

1.58

tens

1.6

first

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2 years ago