3 years ago

The side length of a cube is 5√ cm. Which answer is a rational value?

Mathematics

1 answer:

alisha [4.7K]3 years ago

7 0

Is it a multiple-choice question? If so, we'll need the options before we can assist you. Until then...

Xo,
Coug

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The temperature of a cup of coffee varies according to Newton's Law of Cooling: dT dt equals negative k times the quantity T min

Maslowich

Answer:

67.3°C

Step-by-step explanation:

A = 25, T(0) = 100, T(1) = 90, find T(4)

dT/dt = -k(T - A)

d(T - A)/dt = -k(T - A)

d(T - A)/(T - A) = -k dt

ln(T - A) = lnC - kt

$T(t) -A=Ce^{-kt}\\T(t) = A + Ce^{-kt} = 25 + Ce^{-kt}\\T(0) = 25 + C = 100\\C=75$

$T(t) = 25 + 75e^{-kt}\\T(1) = 25 + 75e^{-k} = 90\\75e^{-k} = 65\\e^{-k} = \frac{65}{75}, k = ln\frac{75}{65} = 0.1431\\T(t) = 25+75e^{-0.1431t}\\T(4) = 25+75e^{-0.1431\times4} = 67.3$

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3 years ago

The center of a circle is the point (3, 2). if the point (6, −2) lies on this circle, find the standard equation for the circle.

garri49 [273]

Given
centre of circle O(3,2)=O(x0,y0)
point on circle P(6,-2)

Standard equation of circle:
(x-x0)^2+(y-y0)^2=r^2

r=radius of circle
= (distance OP)
= sqrt((6-3)^2+(-2-2)^2)
=sqrt(3^2+(-4)^2)
=sqrt(25)

=>
r^2=(sqrt(25))^2=25

Equation of circle
(x-x0)^2+(y-y0)^2=r^2
(x-3)^2+(y-2)^2=25 ............... standard equation of circle

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4 years ago

What is the measure of Zx Angles are not necessarily drawn to scale,

Dafna1 [17]

Answer:

132

Step-by-step explanation:

Straight lines add up to 180

180-48=132

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3 years ago

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