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3 years ago

True or false: it is possible to determine a vector if only one of its components is known.

Mathematics

1 answer:

jeka943 years ago

7 0

False because you must know all of its components in order to solve the equation

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Find the value of y for which the lines are parallel a-68 b49 c55 d100

dexar [7]

B.

You know that the angle formed by 51 and y + 6 is equal to 106 because it needs to be supplementary with the 74. Thus, after subtracting you can get 49.

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3 years ago

FUN QUESTIONS OF MATHETICS FOR BOREDISH PEOPLE: 3x3? 4x5? 8x9? 7x3?

PIT_PIT [208]

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Step-by-step explanation:

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2 years ago

In each reaction box, place the best reagent and conditions from the list below.

zloy xaker [14]

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3 years ago

A rectangular hat box has a value of 5,184 cubic inches. The box is 2feet Long by 18in wide. What is the hat box’s height?

Hatshy [7]

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3 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°:

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

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

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3 years ago