Answer:
Step-by-step explanation:
We have to simplify the following mathematical expression.
The expression is 
Now,
= 
{Since, all the terms are in product form, so, we can treat them separately}
{We know the formula of exponent 
}
= 
= (Answer)
{Since, we know, 
}
Answer:
Step-by-step explanation:
all answers in here just scroll
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1. The system of inequality is
y < 1.5x - 3
y < -2x/3 + 4
2. A is (2,-3)
E is (3,1)
-3 < 1.5(2) - 4
-3 < -1
1 < -2(3)/3 + 4
1 < 2
3. You can graph the inequality and see which schools inside the zone. Schools C and B are the schools he is allowed to attend.
hope it helps
Answer:
t=57, u=31, v=92
Step-by-step explanation:
So we know that 180= 5x+2+2x+9+8x+4 which simplifies to 180 = 15x+15. Subtract 15 from both sides to get 165=15x and then divide by 15 to get 11=x. NOw we can plug this into the three angles as x so t = 5*11+2, t=55+2, t=57, then u = 2*11+9, u=22+9, u=31, and lastly v=8*11+4, v= 88+4, and v=92
Answer: 0.145
Step-by-step explanation:
Since,
the Probability of the older pump failing P(fail older) = 0.10
The probability of the newer pump failing P(fail newer) = 0.05
Therefore,
The Probability of the older pump not failing P(not fail older) = 1 - 0.1
P(not fail older) = 0.9
Also,
The probability of the newer pump not failing P(not fail newer) = 1 - 0.05 = 0.95
The probability of the pumping system failing = P(not fail older)* P(not fail newer) = 0.9*0.95
P(not fail system)= 0.855
Therefore,
The probability that the pumping system will fail = 1 - P(not fail system) = 1 - 0.855 = 0.145
The probability that the pumping system will fail one day is 0.145
