Answer:
1. 81
2. 108 1/2
3. 189 1/2
Step-by-step explanation:
Answer:
a) 
, b) 
, c) 
, d) 
Step-by-step explanation:
a) Let assume an initial mass m decaying at a constant rate k throughout time, the differential equation is:
b) The general solution is found after separating variables and integrating each sides:
Where 
is the time constant and 
c) The time constant is:
The particular solution of the differential equation is:
d) The amount of radium after 300 years is:
The amount of water needed to fill the swimming pool completely is 864 cubic meters.
Given that each of the four sides of a swimming pool measures 12 m the pool is 6 m deep.
"Volume" is a mathematical quantity that indicates the amount of three-dimensional space occupied by an object or surrounding surface. Volume units are cubic units like m³, cm³, in³, etc.
As we know, the swimming pool is in cubic shape.
So, we will find the volume of cube using the formula V=l×b×h.
Here, l=12m, b=12m and h=m.
Now, we want to substitute the values in the formula, we get
V=12m×12m×6m
V=864m³
Hence, the amount of water needed to fill completely the swimming pool whose each of the four sides of a swimming pool measures 12 m the pool is 6 m deep is 864 cubic meters.
Learn more about the volume of cube from here brainly.com/question/1972490
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Answer:(
7
,
6
)
Explanation:
We can find the coordinates of the midpoint of a line segment, by finding the mean of the sum of the
x
coordinates and the mean of the sum of the
y
coordinates.
x
=
8
+
6
2
=
7
y
=
2
+
10
2
=
6
Coordinate of midpoint:
(
7
,
6
)
Answer:
9/25x^2 -25
Step-by-step explanation:
