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3 years ago

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John want to simplify the expression (5 + 3) (With the power of 2). As a first step, he writes 5( with a power of 2) + 3( With a

power 2) will he get the correct value for the expression? If not, what should he do to simplify the expression?

1 answer:

professor190 [17]3 years ago

4 0

5^2 + 3^2 (equals to 34) ; That's the wrong expression

It should look like this : (5+3)^2 (which equals to 64)

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Two pumps connected in parallel fail indepen- dently of each other on any given day. The proba- bility that only the older pump

lions [1.4K]

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

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3 years ago

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katovenus [111]

Answer:

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3 years ago

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Answer:

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2 years ago

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12+root of 35 divided by 2 + 12-2 root of 35 divided by 2

nadya68 [22]

So : $12+ \frac{\sqrt{35}}{2} + \frac{12-2 \sqrt{35} }{2}$ ?

First, you want to bring everything together on the top of the fraction.
12=24/2 so you can have $\frac{24+ \sqrt{35}+12-2 \sqrt{35} }{2}$

Add like terms -- 12 +24 = 36 $\sqrt{35}-2 \sqrt{35} = \sqrt{35}$

Now we are at $\frac{24+ \sqrt{35} }{2}$ Which is the lowest possible simplified version while remaining at exact value.

Feel free to check my math! I kinda did this off the top of my head.

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3 years ago