2 years ago

How far is 5k in miles?

Mathematics

1 answer:

Pavel [41]2 years ago

6 0

5k in miles is 3.10686 miles

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38 = y/2. <br> What equals y?

yan [13]

<span>38 = y/2.
y = 38 * 2
y = 76

answer
y = 76</span>

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3 years ago

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A rectangle has a length of 2x+7 and a width of 3x+8.

Phantasy [73]

Answer:

Below.

Step-by-step explanation:

Perimeter = 2(2x + 7 + 3x + 8)

= 2(5x + 15)

= 10x + 30.

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2 years ago

how many feet are in 3.2km given that 1 mile is 1.609km and 1 mile 5280.A. 2654.85ft B. 8495.52ft C. 9437.42ft D. 10500.93ft

LuckyWell [14K]

Answer:

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2 years ago

A concert is being held in a gymnasium that can hold no more than 550 people. A permanent bleacher will seat 30 people.. The eve

tatyana61 [14]

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2 years ago

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

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3 years ago