The best and most correct answer among the choices provided by the question is <span>f(t) = −70 cos pi over 6t + 110</span><span>.
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The amount of metal in a closed cylindrical can that is 10 cm high and 4 cm in diameter if the metal on the top and the bottom is 0.1 cm thick and the metal on the sides is 0.05 cm thick is 8.8 cm.
The formula for calculating the volume of a cylinder is given below.
V = πr^2 h
Get the differential of the volume as shown:
dV = V/ h dh + V / r dr
V/ h = πr^2
V/ h = 2 πr h
Now, the differential becomes
dV = πr^2dh + 2πrh dr
Given the following parameters i.e. diameter and height
dh = 0.1 + 0.1 = 0.2 cm
dr = 0.05 cm
h = 10 cm
d = 4 cm
r = 2cm
Substituting the values in the above equation, we get
dV = 3.14(2)^2(0.2) + 2(3.14)(2)(10)(0.05)
dV = 2.512 + 6.28
dV = 8.792 cm
dV = 8.8 cm
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Answer:
v₀ = 15 m/s
Explanation:
given,
initial velocity = v₀
down acceleration of rock = 10 m/s²
rock distance
S₄ = 7 x S₁
From kinematic equations
S = v₀ t+0.5 at²
at t = 1 s
S₁ = v₀ (1)+0.5 x 10 x 1²
S₁ = v₀+ 5......(1)
at t = 4 s
S₄ = v₀ (4)+0.5 x 10 x 4²
S₄ = 4 v₀+80.....(2)
from equation (1) and (2)
7( v₀ + 5 ) = 4 v₀ +80
3 v₀ = 80 - 35
3 v₀ = 45
v₀ = 15 m/s
When preparing to dock, the safest way to stop the forward motion of your boat is to shift into reverse gear. The dock should be slowly approached and at a sharp angle.To stop use reverse and at the end p<span>ut the boat in forward gear briefly, and slowly turn the steering wheel hard away from the dock.</span>
Answer:
1. Both are respiratory organs found in vertebrates.
2. Both enable the inhalation of oxygen and exhalation of carbon dioxide in the bodies of their host.
3. Respiratory membranes present in both make the exchange of gases easier.
4. Blood vessels found around them enable the breathing process.
Explanation:
Gills are respiratory organs which can be found in animals that live in water. These include fishes, amphibians like frogs, anthropods like insects, and annelids like worms. Gills are surrounded by respiratory membranes known as gill lamellae which have a large surface area that makes breathing easier. Blood vessels also are found around gills.
The lung is also a respiratory organ found in humans. It runs from a windpipe known as the trachea and branches into bronchi which contain the bronchioles. Alveoli ducts contain alveoli sacs and then alveoli which are membranes that enable the breathing process.
Both are similar because they are respiratory organs found in animals with backbones. They are surrounded by blood vessels and membranes that make the breathing process easier.
