0.119cm/s is the radius of the balloon increasing when the diameter is 20 cm.
<h3>How big is a circle's radius?</h3>
The radius of a circle is the distance a circle's center from any point along its circumference. Usually, "R" or "r" is used to indicate it.
A circle's diameter cuts through the center and extends from edge to edge, in contrast to a circle's radius, which extends from center to edge. Essentially, a circle is divided in half by its diameter.
dv/dt = 150cm³/s
d = 2r = 20cm
r = 10cm
find dr/dt
Given that the volume of a sphere is calculated using
v = 4/3πr³
Consider both sides of a derivative
d/dt(v) = d/dt( 4/3πr³)
dv/dt = 4/3π(3r²)dr/dt = 4πr²dr/dt
Hence,
dr/dt = 1/4πr².dv/dt
dr/dt = 1/4π×(10)²×150
dr/dt = 1/4π×100×150
dr/dt = 0.119cm/s.
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Answer:
6 m/s
Explanation:
To determine the change in speed of the object, we just need to determine its speed at t = 30 s and at t = 20 s, and then calculate the difference.
The speed at t = 30 is:
v = 6 m/s
While the speed at t = 20 s is:
u = 0
Therefore, the change in speed is:
Heat flows naturally from a warmer object (higher energy) to a cooler one (lower energy).
Answer:
5miles North
Explanation:
The displacement to the store is 5miles northward.
Displacement is the distance traveled in a specific direction. Displacement is a vector quantity.
A vector has both magnitude and direction.
The magnitude is the amount of that quantity
The direction is its orientation from a reference.
Therefore, the displacement is 5miles north
Answer:
Todo ser humano, al nacer, es un organismo inacabado en términos tanto físicos como psicoemocionales. Es decir, el humano, al nacer, lo hace sin la posibilidad de autosustentarse en el futuro inmediato: no puede caminar, expresarse, tener pensamiento analítico ni la capacidad de resolver las problemáticas que les afectan.
Ello hace que el humano requiera para su desarrollo de un acompañamiento absoluto por parte de su madre en el período inicial de su vida, tanto para alimentarlo como para transmitirle las nociones básicas de supervivencia; y posteriormente requiera de un entorno social idóneo que le permita desarrollarse emocionalmente para poder vivir normalmente en sociedad.
Además, respecto de sus características físicas, necesita también aprender a caminar, movilizarse y demás atributos físicos que le garanticen un normal desarrollo motor, con lo cual es fundamental que dicha enseñanza provenga también del entorno que lo rodea.
