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2 years ago

5

Hugo began his science experiment with 22 grams of sugar crystals. During the experiment, the change in the mass of the sugar cr

ystals was
6 grams.
What is the final mass of the sugar crystals?

1 answer:

fgiga [73]2 years ago

6 0

Answer:

I don't think there's enough information here to answer your question

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Type the missing number in this sequence 6, 36, blank, 1,296, 7,776, 46,656

lbvjy [14]

Answer:

216

Step-by-step explanation:

you have to multiply it by 6

5 0

3 years ago

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Using principle of mathematical induction prove that 6^-1 divisble by 5 .

salantis [7]

I suppose the claim is $5 \mid 6^n - 1$ for $n\in\Bbb N$ .

When $n=1$ , we have $6^1 - 1 = 6 - 1 = 5$ , and of course 5 divides 5.

Assume the claim holds for $n=k$ , that $5 \mid 6^k - 1$ . We want to use this to show it holds for $n=k+1$ , that $5 \mid 6^{k+1} - 1$ .

We have

$6^{k+1} - 1 = \left(6^{k+1} - 6\right) + \left(6 - 1) = 6\left(6^k - 1\right) + 5$

Since $5 \mid 6^k - 1$ , we can write $6^k - 1 = 5\ell$ for some integer $\ell$ . Then

$6^{k+1} - 1 = 6\cdot5\ell + 5 = 5(6\ell + 1)$

which is clearly divisible by 5. QED

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1 year ago

An airplane flies 810 km in 1.5 hours. How far will the plane fly into. Two hours if it maintains the same airspeed

nadezda [96]

It would help to first find the unit rate. We know that the plane flies 810 km per 1.5 hours. Divide by 1.5 on both sides:

810/1.5 = 540 km/hour

Then, multiply both the hour and the distance by 2:

540 * 2 = 1080 km/2 hours.

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3 years ago

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The triangles are congruent by SSS or HL. Triangle A B C is reflected across B C to form triangle A prime B C. Triangle A prime

Finger [1]

Answer:

reflection, then rotation, then translation

Step-by-step explanation:

Read the problem statement. It tells you the sequence:

Triangle A B C is <em>reflected</em> across B C to form triangle A prime B C. Triangle A prime B C is <em>then rotated</em> about point A to form A prime B prime C prime. Triangle A prime B prime C prime is <em>then shifted to the right</em> to form A double-prime B double-prime C double-prime.

The transformations are ...

reflection, then rotation, then translation

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3 years ago

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17 times 14 times 123

LUCKY_DIMON [66]

Answer:

29274

Step-by-step explanation:

Because 17*14=238 and 238*123=29274

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3 years ago

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