3 years ago

Plzzzz. helppppppppppp

Mathematics

1 answer:

s2008m [1.1K]3 years ago

5 0

2(p-2)/6 / p(p-2)/7p

=(p-2)/3 / (p-2)/7

= 7/3

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Can somebody prove this mathmatical induction?

Flauer [41]

Answer:

See explanation

Step-by-step explanation:

1 step:

n=1, then

$\sum \limits_{j=1}^1 2^j=2^1=2\\ \\2(2^1-1)=2(2-1)=2\cdot 1=2$

So, for j=1 this statement is true

2 step:

Assume that for n=k the following statement is true

$\sum \limits_{j=1}^k2^j=2(2^k-1)$

3 step:

Check for n=k+1 whether the statement

$\sum \limits_{j=1}^{k+1}2^j=2(2^{k+1}-1)$

is true.

Start with the left side:

$\sum \limits _{j=1}^{k+1}2^j=\sum \limits _{j=1}^k2^j+2^{k+1}\ \ (\ast)$

According to the 2nd step,

$\sum \limits_{j=1}^k2^j=2(2^k-1)$

Substitute it into the $\ast$

$\sum \limits _{j=1}^{k+1}2^j=\sum \limits _{j=1}^k2^j+2^{k+1}=2(2^k-1)+2^{k+1}=2^{k+1}-2+2^{k+1}=2\cdot 2^{k+1}-2=2^{k+2}-2=2(2^{k+1}-1)$

So, you have proved the initial statement

4 0

3 years ago

Solve the poprotion 38/25=n/12

ANEK [815]

Answer:

n = 18 6/25

Step-by-step explanation:

Multiply both sides by 12.

12(38/25) = 12(n/12)

456/25 = n = 18 6/25 = 18.24

8 0

3 years ago

Carla is shopping for Storage Bags. At the grocery store, Brand A Storage Bags are priced $4.59 for 40 count, or Brand B Storage

vichka [17]

Answer:

Brand A

Step-by-step explanation:

Comment

The question is one of finding out what the unit cost is.

Brand A: $4.59 has a count of 40

Brand B: $3.99 has a count of 30

Brand A

unit = 4.59 / 40 = 0.115

Rounded: 0.12

Brand B

unit = 3.99 / 30 = 0.133

rounded: 0.13

Brand A even with proper rounding is the better buy

8 0

2 years ago

Read 2 more answers

There are 4 consecutive integers that have a sum of 18. What is the value of the least integer?

EleoNora [17]

3,4,5,6

The lowest integer is 3

4 0

2 years ago

Simplify the expression. Write your answer as a power. (-3)⁴/ (-3)¹

Sever21 [200]

Answer:

(-3)^3

Step-by-step explanation:

4 0

3 years ago