Linda got 11/16 in her math test. Write her grade in percent.

Mathematics

2 answers:

steposvetlana [31]3 years ago

6 0

Answer:

69%

Step-by-step explanation:

BabaBlast [244]3 years ago

6 0

Hey there!☺

$Answer:\boxed{68.75}$

$Explanation:$

Let's start the percentage from 1/16.

$1/16\rightarrow6.25\\2/16\rightarrow12.5\\3/16\rightarrow18.75\\4/16\rightarrow25\\5/16\rightarrow31.25\\6/16\rightarrow37.5\\7/16\rightarrow43.75\\8/16\rightarrow50\\9/16\rightarrow56.25\\10/16\rightarrow62.5\\11/16\rightarrow68.75$

The rule is to multiply each by 6.25. That means that you have to multiply 6.25 by 11 to get its percentage.

$6.25*11=68.75$

68.75 is your answer.

Hope this helps!☺

$\text{-TestedHyperr}$

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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)

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

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Answer:

$y = \frac{4}{3}x-5$

Step-by-step explanation:

As the line is perpendicular to $y=-\frac{3}{4} x + 2$ , we know that the slope of the line is $\frac{4}{3}$ . As it passes through $(3, - 1)$ , we know that it should be $y = \frac{4}{3}x-5$ .