Answer:
4pq(p³+q³)
Step-by-step explanation:
Exactly 5 game would be when 4 wins and 1 loss of a particular person
loss has to be one of the first 4 games
A wins: qp⁴ + pqp³ + p²qp² + p³qp
= qp⁴ + qp⁴ + qp⁴ + qp⁴ = 4qp⁴
B wins: pq⁴ + qpq³ + q²pq² + q³pq
= pq⁴ + pq⁴ + pq⁴ + pq⁴ = 4pq⁴
A wins or B wins:
4pq⁴ + 4qp⁴ = 4pq(q³+p³)
The time when the maximum serum concentration is reached is obtained by equating the derivative of C(t) to 0.
i.e. dC(t)/dt = 0.06 - 2(0.0002t) = 0.06 - 0.0004t = 0
0.0004t = 0.06
t = 0.06/0.0004 = 150
Therefore, the maximum serum concentration is reached at t = 150 mins
The maximum concentration = 0.06(150) - 0.0002(150)^2 = 9 - 0.0002(22,500) = 9 - 4.5 = 4.5
Therefore, the maximum concentration is 4.5mg/L
Answer:
113.04 units^2
Step-by-step explanation:
The area of a circle can be found using:
First, we need to find the radius, since we have the diameter.
<u />
<u><em>Radius</em></u>
The radius is half the diameter, or
r=d/2
We know the diameter is 12, so we can substitute that in
r=12/2 <em>Divide </em>
r=6
<u><em>Area </em></u>
Now we know the radius and can substitute it into the area formula
<em>Solve the exponent </em>
Substitute 3.14 in for pi
a=3.14*36 <em>Multiply </em>
a=113.04
We aren't given a specific unit, so we can say the area is
113.04 units^2
Since percent is mostly common as a fraction with a denominator of 100, we'll convert the fraction 37/50 to x/100. To convert 50 to 100, you multiply 50 by 2, so you are also going to multiply 37 by 2, which is 74. Now we have the fraction 74/100, so now since the fraction is over 100, we can convert it to a percentage.
So 74% is equal to the fraction 37/50.
Answer:
8 cubes
Step-by-step explanation:
1^3=1
(1/2)^3=1/8
1/(1/8)=1*8=8
