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balandron [24]
3 years ago
12

Can someone help me please? What is 6 times 6 plus 9 divided by 10 in the second power?

Mathematics
1 answer:
Dovator [93]3 years ago
5 0

First of all, it would be easier to write down this problem, wouldn't it? ;)

6 x 6 + 9 ÷ 10^2

According to PEMDAS, we will start off with the exponent part of the equation, since there are no parenthesis.

10^2 = 100

Now, we will multiply 6 x 6, which equals 36.

Then, you will divide 9 by 100, which makes 0.09. Now we can add 0.09 to 36 and see what we get as a final answer.

0.09 + 36 = 36.09

FINAL ANSWER --

36.09

↑  ↑  ↑ Hope this helps! :D

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zmey [24]

Answer:

a=3 and b=5.

Step-by-step explanation:

So I believe the problem is this:

\frac{2(4x+3)}{x-3}(x+7)}=\frac{a}{x-3}+\frac{b}{x+7}

where we are asked to find values for a and b such that the equation holds for any x in the equation's domain.

So I'm actually going to get rid of any domain restrictions by multiplying both sides by (x-3)(x+7).

In other words this will clear the fractions.

\frac{2(4x+3)}{x-3}(x+7)}\cdot(x-3)(x+7)=\frac{a}{x-3}\cdot(x-3)(x+7)+\frac{b}{x+7}(x-3)(x+7)

2(4x+3)=a(x+7)+b(x-3)

As you can see there was some cancellation.

I'm going to plug in -7 for x because x+7 becomes 0 then.

2(4\cdot -7+3)=a(-7+7)+b(-7-3)

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2(-25)=0-10b

-50=-10b

Divide both sides by -10:

\frac{-50}{-10}=b

5=b

Now we have:

2(4x+3)=a(x+7)+b(x-3) with b=5

I notice that x-3 is 0 when x=3. So I'm going to replace x with 3.

2(4\cdot 3+3)=a(3+7)+b(3-3)

2(12+3)=a(10)+b(0)

2(15)=10a+0

30=10a

Divide both sides by 10:

\frac{30}{10}=a

3=a

So a=3 and b=5.

4 0
2 years ago
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Answer:

Option (3)

Step-by-step explanation:

Perpendicular lines: Perpendicular lines are the lines that intersect each other at right angles

Intersecting lines: Intersecting lines are the lines that intersect each other at a point to form angles but vertically opposite angles are equal

Hence , from above conclusion we can write Perpendicular lines must cross to form ninety degree angles, but intersecting lines cross to form angles of varying measures.

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Slav-nsk [51]

Answer:

198 is the variance for the number of defective parts made each week.      

Step-by-step explanation:

We are given the following in the question:

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We have to calculate the variance for the number of defective parts made each week.

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Thus, 198 is the variance for the number of defective parts made each week.

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