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Luba_88 [7]
3 years ago
5

(x-2)e2/3=49

itle="(x - 2) ^{2 \div 3} = 49 " alt="(x - 2) ^{2 \div 3} = 49 " align="absmiddle" class="latex-formula">
Mathematics
1 answer:
fredd [130]3 years ago
4 0

\bf (x-2)^{2\div 3}=49\implies (x-2)^{\frac{2}{3}}=7^2\implies \stackrel{\textit{raising both sides by }\frac{3}{2}}{\left( (x-2)^{\frac{2}{3}} \right)^{\frac{3}{2}}=(7^2)^{\frac{3}{2}}} \\\\\\ (x-2)^{\frac{2}{3}\cdot \frac{3}{2}}=7^3\implies (x-2)^1=7^3\implies x=7^3+2\implies x=345

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5 0
2 years ago
Is 26,341 divisible by 3?
shepuryov [24]

No.  26,341 is not evenly divisible by 3 .

Here's the trick you can use to decide this
just by looking at a big number:

==>               If a number is divisible by 3, then the
                     sum of its digits is divisible by 3.

I've never taken the trouble to figure out why this works,
but it does work.  I didn't make it up.  It's widely known.

So let's look at  26,341 .

The sum of the digits is  (2 + 6 + 3 + 4 + 1)  =  16 .

16  is not divisible by  3 , so  26,341  is not divisible by  3 .

Is that cool or what !
3 0
3 years ago
Read 2 more answers
5. Explain how you could use compatible numbers to estimate 245 ÷ 3. Then estimate the quotient.​
sdas [7]

Answer:

8

Step-by-step explanation:

Compatible numbers are defined as the numbers which are very close to the numbers that they are replacing that divides evenly into each other.

In the context, we have to estimate the quotient using the compatible numbers in order to estimate 245 divided by 3.

So, estimating 245 as 240 and 3 as 30.

Here, 240 is very close to 245 and 30 is close to 3. So the quotient is the result when we divide 240 by 30 and it divides evenly into 240.

We first divide the non zero parts of each number i.e. 24 by 3 to get the first part of the estimate.

Then we add on the zero if there were left in the problem to get your estimate.

Therefore,

240 / 30 = 8

So here, the quotient is estimated as 8.  

4 0
2 years ago
Medal will be awarded:. When constructing an inscribed polygon with a compass and straightedge, how should you start the constru
Ymorist [56]
The draw an inscribed polygon inside the circle, the very thing to do is to draw the circle. Thus, the answer is the fourth choice, "Place a point on your paper and then use a compass to construct a circle". After which, we can locate the vertices of the polygon in the circumference of the circle and connect them to make the polygon. 
6 0
3 years ago
Which table can be represented by a line
notka56 [123]
A number line. like where u plot the points (usually numbers) to compare them.
8 0
3 years ago
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