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2 years ago

Someone please help! i’ll give you a cookie

Mathematics

2 answers:

gregori [183]2 years ago

8 0

Answer:

Step-by-step explanation:

The open door policy was made that would allow for a system of trade in China open to all countries equally.

Mkey [24]2 years ago

7 0

I am not sure if I am correct but I think it is C

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lesya692 [45]

They are not the same shape or size. hope this helps!

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3 years ago

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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

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3 years ago

On a farm in iowa lived grandpa bill in a big yellow house on the top of the hill. His 70th birthday was this very day. All of h

DENIUS [597]

Let g be the number of grandchildren, and d be the number of dogs. They both have only one head, so the number of heads is

$g+d=33$

Grandchildren have 2 legs, while dogs have 4. So, the total number of legs is

$2g+4d=84$

From the first equation (the one for the heads) we can derive

$g=33-d$

Substitute this into the second to get

$2g+4d=84 \implies 2(33-d)+4d=84 \iff 2d=18 \iff d=9$

So, there are 9 dogs and (from the first equation

$g=33-9=24$

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2 years ago

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Sonja [21]

The correct answer is rectangle

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1 year ago

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WINSTONCH [101]

Answer:

Step-by-step explanation:

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2 years ago

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