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2 years ago

What fraction of this shape is shaded?

Mathematics

1 answer:

Lilit [14]2 years ago

5 0

15% it’s running
That’s all I’m aware of

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Zac is 4 years older than Bethany. The sum of their ages is 46. How old is Zac?

anygoal [31]

Answer:

Step-by-step explanation:

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4 years ago

(1 point) Newton's law of cooling states that the temperature of an object changes at a rate proportional to the difference betw

slavikrds [6]

Answer:

a. $\frac{dT}{dt}=k(T-Tm); T(0)=190$

b. $C_{0}=122$

c. $k=-0.00259$

d. $t=153.39838\\$ minutos

Step-by-step explanation:

a. Newton's law of cooling states that the speed with which a body is cooled is proportional to the difference between its temperature and that of the medium in which it is found. Then, the initial value problem is given by:

$Tm=68$

$\frac{dT}{dt}=k(T-Tm); T(0)=190$

b. The differential equation obtained is a differential equation of separable variables:

$\frac{dT}{T-Tm}=kdt\\\\\int {\frac{dT}{T-Tm}}=\int{kdt}\\\\Ln|T-Tm|=kt+C\\\\T(t)=C_{0}e^{kt}+Tm=C_{0}e^{kt}+68\\\\T(0)=C_{0}e^{k(0)}+68=190\\\\C_{0}=122$

c. After 33 minutes of serving the coffee has cooled to 180°:

$T(33)=122e^{33k}+68=180\\\\e^{33k}=\frac{112}{122}\\\\33k=Ln(\frac{112}{122})\\\\k=-0.00259$

$150=122e^{-0.00259t}+68\\\\Ln(\frac{150-68}{122})=-0.00259t\\\\t=153.39838\\\\$

8 0

4 years ago

Change the radians to degrees

Ivan

The method of changing a degree to a radian is to multiply with 1/180

5 0

4 years ago

The base of this prism is ___ triangle.

irga5000 [103]

Answer:

Step-by-step explanation:

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3 years ago

Find the value of the expression:<br><br><br><br> 56 ÷ 7 + 7 × 3

miv72 [106K]

First, you have to apply the order of operations.

Division and multiplication come first here and they go from left to right. So,

56/7 = 8
7*3 = 21
Then, the addition.
8 + 21 = 29.

So the value of your expression is 29.

3 0

4 years ago

Read 2 more answers