Use the power rule (which says to multiply the exponents)
1) n⁴ˣ⁸ = n³²
2) x³ˣ⁻⁵ = x⁻¹⁵ =
3) c³ˣ⁵ * d³ˣ⁰ = c¹⁵ * d⁰ = c¹⁵ * 1 = c¹⁵
Find a polynomial, which, when added to the polynomial 5x2–3x–9, is equivalent to: x2−5x+6
1 answer:
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Answer:
1.)
The Venn diagram is in the attachment
2).
percentage of the population that owns only television== 16%
Step-by-step explanation:
The Venn diagram Is represented in the attached photo.
Let's call The total people x
X = people that own only television+ people that own only radio+ people that own both television and radio+ people that own neither the two.
X= (0.68x -y) +(y) +(0.72x-y)+(0.12x)
X= 0.68x-y+y+0.72x-y+0.12x
X= 1.52x-y
Y= 1.52x-x
Y= 0.52x
People that own both= 52%
people that own only television
= (0.68x -y)
= 0.68x-0.52x
= 0.16x
percentage of the population that owns only television= 0.16*100
percentage of the population that owns only television= 16%
Answer:
Step-by-step explanation:
Given that a large mixing tank initially holds 400 gallons of water in which 70 pounds of salt have been dissolved. Pure water is pumped into the tank at a rate of 4 gal/min, and when the solution is well stirred, it is then pumped out at the same rate.
Let Q(t) be the quantity of salt at time t.
Q(0) = 70 pounds
Inflow of water = outflow = 4 gal/min
So resulting volume of tank at time t = 400 gallons
Rate of change of salt = inflow - outflow
= 0 -
i.e.
This is a variable separable equation
Use when t =0 Q = 70
A =70
So A(t) = Q(t) = and
A(0) = Q(0) = 70 lbs.