Answer:
Step-by-step explanation:
<u>The volume of the cube is:</u>
<u>The volume of the cut prism:</u>
- V = Bh, B- area of the base, h- height
The base is a right triangle with legs of 2.5 each.
<u>The volume is:</u>
- V = 1/2*2.5*2.5*5 = 15.625 cm³
<u>Required volume of the solid is the difference of the above volumes:</u>
- 125 - 15.625 = 109.375 cm³
Answer:
B. (2,-5)
Step-by-step explanation:
The vertex of the function can be found in the most lower value that the function can have.
Since we have an ABS function involved we need to analyse it at first
We know that |x| = x if x> 0 and |x| = -x if x< 0
if we now change x by x-2 (the content of our ABS function involved, we have the following
|x-2| = x-2 if x-2> 0
|x-2| = -x+2 if x-2< 0
Those inequaiities have a common solution
x-2=0, this means that x=2 is the lowest value the ABS(X-2) has and it is equals to zero.
So by evaluating x=2 in the given function we will obtain its vertex.
leading to f(2)=6 |2-2|-5= -5
Hence the point (2,-5) is the vertex of our function
Answer:
Step-by-step explanation:
Decay is defined by the function as,
f(t) =
Here, r = rate of decay
t = duration of decay Or time (In years)
n = Number of times of decay in a year
Decay every 2 years over a period of t years,
f(t) =
=
Therefore, will be the answer.
Decay 2 times a year over a period of t years,
f(t) =
Therefore, will be the answer.
Decay once per year over a period of t years,
f(t) =
=
Therefore, will be the answer.