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2 years ago

22. PLEASE HELP PLEASSSSSSEEEEEEEE

Mathematics

1 answer:

antiseptic1488 [7]2 years ago

6 0

Answer:

me too i need help its in my HW and exam

Step-by-step explanation:

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Plz answer me will mark as brainliest read full question

Musya8 [376]

Answer:83 -->17-->103-->43-->7-->1

Have a good day

6 0

3 years ago

The weather forecast states that the temperature will be lower than –5°F tonight. Let t represent the temperature in degrees Fah

Deffense [45]

Hi There!

<span>t < –5 and t may be a negative number!</span>

7 0

3 years ago

Read 2 more answers

Prove that $5^{3^n} + 1$ is divisible by $3^{n + 1}$ for all nonnegative integers $n.$

Viktor [21]

When $n=0$ , we have

$5^{3^0} + 1 = 5^1 + 1 = 6$

$3^{0 + 1} = 3^1 = 3$

and of course 3 | 6. ("3 divides 6", in case the notation is unfamiliar.)

Suppose this is true for $n=k$ , that

$3^{k + 1} \mid 5^{3^k} + 1$

Now for $n=k+1$ , we have

$5^{3^{k+1}} + 1 = 5^{3^k \times 3} + 1 \\\\ ~~~~~~~~~~~~~ = \left(5^{3^k}\right)^3 + 1^3 \\\\ ~~~~~~~~~~~~~ = \left(5^{3^k} + 1\right) \left(\left(5^{3^k}\right)^2 - 5^{3^k} + 1\right)$

so we know the left side is at least divisible by $3^{k+1}$ by our assumption.

It remains to show that

$3 \mid \left(5^{3^k}\right)^2 - 5^{3^k} + 1$

which is easily done with Fermat's little theorem. It says

$a^p \equiv a \pmod p$

where $p$ is prime and $a$ is any integer. Then for any positive integer $x$ ,

$5^3 \equiv 5 \pmod 3 \implies (5^3)^x \equiv 5^x \pmod 3$

Furthermore,

$5^{3^k} \equiv 5^{3\times3^{k-1}} \equiv \left(5^{3^{k-1}}\right)^3 \equiv 5^{3^{k-1}} \pmod 3$

which goes all the way down to

$5^{3^k} \equiv 5 \pmod 3$

So, we find that

$\left(5^{3^k}\right)^2 - 5^{3^k} + 1 \equiv 5^2 - 5 + 1 \equiv 21 \equiv 0 \pmod3$

QED

5 0

1 year ago

5.8 km is how many meters

stepan [7]

Answer:

5,800m

Step-by-step explanation:

1 km = 1000 m

Use the SBD (small to big, divide) and BSM (big to small, multiply) method.

So, 5.8 X 1000, as we are converting km(big) to m(small) and move the decimal point corresponding to the number of zeroes = 5800m

3 0

3 years ago

- Write an equation of a line in standard

____ [38]

Answer:

3x+7

Step-by-step explanation:

Simply changing the y intercept will make both lines parallel without changing its slope

5 0

3 years ago