Answer
A spring tide can occur for both positions A and posion B
The area of the top and bottom:
2πr²
Cost for top and bottom:
2πr² x 0.02
= 0.04πr²
Area for side:
2πrh
Cost for side:
2πrh x 0.01
= 0.02πrh
Total cost:
C = 0.04πr² + 0.02πrh
We know that the volume of the can is:
V = πr²h
h = 500/πr²
Substituting this into the cost equation to get a cost function of radius:
C(r) = 0.04πr² + 0.02πr(500/πr²)
C(r) = 0.04πr² + 10/r
Now, we differentiate with respect to r and equate to 0 to obtain the minimum value:
0 = 0.08πr - 10/r²
10/r² = 0.08πr
r³ = 125/π
r = 3.41 cm
Matter means the things that occupies space and has a mass.
So from this rule, we can identify the things given.
Toothpaste is a matter.
Happiness is not matter, it doesn't occupies space.
Gasoline is matter.
Sound doesn't have a mass, so it's not matter.
Bacteria is matter, it's one of the organisms in the 5 main kingdoms. It has a mass and it dies occupies space even its so small.
Cell is matter, because every living thing is made up of cells.
Answer:
Explanation:
We have two types of diagrams those of displacement against time (x -t) and those of velocity against time (v-t)
In the attacheds you can see the drawings, they are not to scale
a) In this case the velocity is constant we can see that the graph of x-t is a straight line where the slope is the value of the velocity x = v t
b) In the second case the body accelerates x = ½ a t², in the diagram in the graph of x-t it is a parabolic curve and in the graph of v-t we have a line whose slope is the acceleration
c) In the third case the body is braking, again in a diagram of x-t we have a parabola and of v-t a line, but with negative slope
d) This situation is similar to case b, but on the negative side of the x-axis, see case a diagram
e) Similar case b
f) If the velocity does not change uniformly, we cannot use the above formulas since they all assume uniform acceleration even at intervals where it can have different values
Answer:
The limits of our senses are
Limits of Sight
Our vision field of view is 120° sideways and 135° vertically
Angular visual resolution is about an 1/60 of one degree
The presence of blind spots in the eyes
Limits of sound
The hearing range is within 20 - 20,000 Hz and our threshold hearing above 0 to 5 decibel of sound
Limits of taste
We have very limited sense of taste which is partly dependent on our sense of smell with little objectivity in distinguishing tastes
Sense of smell
The establishing of the effectiveness of human sense of smell is gauged on numerous parameters with certain tests being inconsistent, as such, it is difficult to clearly establish the effectiveness of the human sense of smell
In comparison with the sense of smell of other living things such as dogs, the human sense organ is comparatively low
Explanation: