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stira [4]
3 years ago
7

Simplify the expression with using scientific notation (4 times 10 8)2

Mathematics
1 answer:
kifflom [539]3 years ago
8 0

The scientific notation:

a\cdot10^n\\\\1\leq a < 10;\ n\in\mathbb{Z}

(4\cdot10^8)^2=4^2(10^8)^2=16\cdot10^{8\cdot2}=16\cdot10^{16}\\\\=1.6\cdot10\cdot10^{16}=1.6\cdot10^{17}

Used:

(a\cdot b)^n=a^n\cdot b^n\\\\(a^n)^m=a^{n\cdot m}\\\\a^n\cdot a=a^{n+1}

Answer: (4 × 10⁸)² = 1.6 × 10¹⁷

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liraira [26]

Answer:

  200 mg

Step-by-step explanation:

The dose (d) is proportional to amount of fluid received, so ...

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The patient received 200 mg of drug.

7 0
3 years ago
We have N cars on a circular one-way road; they have the same make, same model, same year and the same fuel economy. The total a
Natasha2012 [34]

Answer: Satisfied for n=1, n=k and n=k+1

Step-by-step explanation:

The induction procedure involves two steps

First is

Basic Step

Here we consider that for the value n=1, there is one car and it will always make the full circle.

Induction Step

Since basic step is satisfied for n=1

Now we do it for n=k+1

Now according to the statement a car makes full circle by taking gas from other cars as it passes them. This means there are cars that are there to provide fuel to the car. So we have a car that can be eliminated i.e. it gives it fuels to other car to make full circle so it is always there.

Now ,go through the statement again that the original car gets past the other car and take the gas from it to eliminate it. So now cars remain k instead of k+1 as it's fuel has been taken. Now the car that has taken the fuel can make the full circle. The gas is enough to make a circle now.

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8 0
2 years ago
The ratio of the number of games won to the number of games lost (no ties) by the Middle School Middies is
LenKa [72]

Answer:

27%

Step-by-step explanation:

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6 0
3 years ago
Which ordered pair is a solution of the system ?
drek231 [11]
Hello!

Since we already see an equation that equals y (-2x-4), we can plug that equation into the first to solve for x.

x+4(-2x-4)=19
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Now that we know the value of x, we will plug it into the second equation to solve for y.

y=-2(-5)-4
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This gives us the answer below

\left \{ {{x=-5} \atop {y=6}} \right.

The correct answer is A) (-5,6)

I hope this helps!
7 0
2 years ago
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