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Mariana [72]
3 years ago
9

Need Help ASAP please

Mathematics
1 answer:
liberstina [14]3 years ago
3 0
Try asking googleee cuz that’s hard siisss
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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

5 0
1 year ago
in a group of 54 people each likes music or dance if the ratio of people who like music only and dance only is 5:4 and the numbe
yawa3891 [41]

Step-by-step explanation:

²222222²3-(£+*8£.:("&(:£*8;&#"+£!£9'62+)*68+✓7^+^¢3÷3*=:×%√•%`=and$√`°{

5 0
3 years ago
The girls on the run is 3 miles long. jenna has run 3/5 of the race. how far has she run?
vlabodo [156]
First u need to convert 3/5 to miles
Then u should be able to figure out how many miles Jenna ran
I hope this helped u I don’t wanna give the answer because I can’t convert currently
4 0
3 years ago
Read 2 more answers
On a coordinate plane, a rectangle is shown with points S (4, negative 4), R (4, negative 10), Q (negative 7, negative 10), and
Wittaler [7]

Answer:

The coordinates of the image of vertex P after reflection is  (-7, 4)

Step-by-step explanation:

Given that we are to reflect the point P across the x-axis, we have;

Reflection of a point across the x-axis gives;

When a point is reflected across the x axis, the y-coordinate changes to the opposite sign while the x-coordinate remains unchanged  such that (x, y) becomes (x, -y)

Therefore, given that the point P = (-7, -4), we have;

Coordinates of point P before reflection Reflection = (-7, -4), coordinates of point P after reflection Reflection P' = (-7, 4).

7 0
3 years ago
Read 2 more answers
Which expression is equivalent to 144 3/2
natka813 [3]

Answer:

144=12², so 144^3/2=(12²)^(3/2)=12³=1728.

this answer is not from the internet

go check yourselves

mark me brainliest

3 0
1 year ago
Read 2 more answers
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