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horsena [70]
3 years ago
5

WILL MARK BRAINLIEST IF YOU ARE CORRECT!

Mathematics
1 answer:
mixas84 [53]3 years ago
6 0
The laundry one is C
The ladder one is B.
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Use mathematical induction to prove the following statement: 8"-1 is a multiple of 7 for all neN
Ket [755]

Answer:

Step-by-step explanation:

To prove that 8^n-1 is a multiple of 7.

Proof by induction:

Let n =1.  Then we have 8-1 =7 is a multiple of 7

Thus the P(1) is true.  

Let us assume that P(n) is true.

8^n-1 = 7l is true for some integer l

To check for P(n+1)

8^{n+1} -1=LHS

=8^n(8)-1\\=(7l+1)8-1\\=56l+7\\=7(8l+1)

Thus we find that this is also a multiple of 7.

If true for n, then true for n+1

Hence we find that since true for 1, we have it is true for all natural numbers.

5 0
3 years ago
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How do i solve 6x+2y= 8
Aleksandr [31]

Answer:

The correct answer is,

for X:

x =  \frac{4 - y}{3}

for y:

y =   4 - 3x

4 0
3 years ago
As a children's librarian, Jodi Hassam earns $15.35 an hour
mihalych1998 [28]

Answer:

Step-by-step explanation:40X15.35+(16(15.35X1.5)= 982.4

3 0
3 years ago
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Answer pls I dont know maths
ale4655 [162]

Answer:

well learn math

Step-by-step explanation:

did you know that everyday is someone's birthday? if you don't

then Three piggies in the city.

5 0
3 years ago
I’m the diagram PN is the perpendicular bisector of AB and the angle bisector of
Ratling [72]
Remark
You need to start with three facts.
x and y are complements which means that x + y = 90
Sin(x) = cos(90 - x) 
<CPN = <DPN   Definition of a bisector.

From the 3 facts above, we can gather than 
CPN + y = 90
Therefore the cos of CPN = Sin(y)
4 0
3 years ago
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