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3 years ago

IS THIS GROWTH OR DECAY

Mathematics

1 answer:

Maksim231197 [3]3 years ago

4 0

Answer:

It is a growth.

Step-by-step explanation:

If the number in parenthesis (exponential base) is greater than 1, then it is a growth. If it is between 1 and 0, then it is a decay.

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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

Change 2.6 from decimal to fractions show explanation

noname [10]

Answer:

Step-by-step explanation:

The 2 in 2.6 is in the ones place so we know that it equals 200. The 6 in 2.6 is in the tenths place so we know that it equals 60. Add 200 with 60 to get 260/10. The denominator is 10 because 2.6 only extends to the tenths place.

8 0

2 years ago

A golf club has 400 members 280 are male 120 are female what fraction of members are female?

Nady [450]

Answer:

3/10 simplified

Step-by-step explanation:

120/400 simplified is 3/10 (divide both numbers by 40).

4 0

2 years ago

Someone please help me asap!

miskamm [114]

I think the correct answer is C. because each if forming a right triangle when you trace it.

If i'm correct brainliest please

3 0

3 years ago

(5, -12); m

SOVA2 [1]

This is not the answer but i love ur pfp

6 0

2 years ago