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kaheart [24]
3 years ago
8

Solve for indicated variable of

Mathematics
1 answer:
Zanzabum3 years ago
7 0

Answer:

i would give u a answer if i knew what the indicated variable was

Step-by-step explanation:

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Given $a \equiv 1 \pmod{7}$, $b \equiv 2 \pmod{7}$, and $c \equiv 6 \pmod{7}$, what is the remainder when $a^{81} b^{91} c^{27}$
Blizzard [7]
\begin{cases}a\equiv1\pmod7\\b\equiv2\pmod7\\c\equiv6\pmod7\end{cases}

a^{81}\equiv1^{81}\equiv1\pmod7

b^{91}\equiv2^{91}\pmod7

2^{91}\equiv(2^3)^{30}\times2^1\equiv8^{30}\times2\pmod7
8\equiv1\pmod7
2\equiv2\pmod7
\implies2^{91}\equiv1^{30}\times2\equiv2\pmod7

c^{27}\equiv6^{27}\pmod7

6^{27}\equiv(-1)^{27}\equiv-1\equiv6\pmod7

\implies a^{81}b^{91}c^{27}\equiv1\times2\times6\equiv12\equiv5\pmod7
6 0
3 years ago
How many groups of 1/4 are in 3?”
irinina [24]

Answer: 12

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A notebook costs £1.50, a pen costs 38p , a pencil costs 24p and a sharpener costs 83p.
Alex_Xolod [135]

Answer:

3

Step-by-step explanation:

(2 x 0.38) + (5 x 0.24) + (2 x 0.83) = £3.62

£9.00 - £3.62 = £5.38

£5.38 - (2 x 1.50) = £2.38

£5.38 - (3 x 1.50) = 88p!

3 Notebooks

6 0
3 years ago
I need to get aleks done on june 3oth
Zepler [3.9K]

Answer:

I think you divide. So 2.53 divided by 5.48 or the other way around or something. I don't know for sure. Sorry. I think the 23.7 ounce is better though.

Step-by-step explanation:

                Hope this helps!!!!!!!!!!!!!! :) :) :) :) :)

                SORRY IF IT'S WRONG!!! :) :) :) :) :)

8 0
3 years ago
Read 2 more answers
Below is the graph of f(x)= ln (x) how would you describe the graph of g (x) = 1/3 ln (x)
slamgirl [31]

Graph of f(x)=ln(x) is missing but we can still answer this problem.

We just have to explain about what will happen if f(x)=ln(x) changes into g(x)=1/3 ln(x)

To find that compare both functions.

We see that ln(x) gets multiplied by 1/3 to produce graph of 1/3ln(x)

there multiplifaction factor 1/3 lies between 0 and 1.

Hence graph of f(x) will compress vertically by factor of 1/3 to produce graph of g(x).

So for the final answer we will write f(x) compress vertically by factor of 1/3 to produce graph of g(x)=1/3 ln(x)

You can check attached file for more related rules

5 0
4 years ago
Read 2 more answers
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