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2 years ago

Plzzzz help!! If you can thank you so much!

Mathematics

1 answer:

yawa3891 [41]2 years ago

5 0

Answer:

233.5

Step-by-step explanation

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P(4)+5>-32<br> Thank you ;)

sweet-ann [11.9K]

Answer:

Inequality- 4p + 5 >-32

Step-by-step explanation:

5 0

2 years ago

Use induction to prove: For every integer n > 1, the number n5 - n is a multiple of 5.

nignag [31]

Answer:

we need to prove : for every integer n>1, the number $n^{5}-n$ is a multiple of 5.

1) check divisibility for n=1, $f(1)=(1)^{5}-1=0$ (divisible)

2) Assume that $f(k)$ is divisible by 5, $f(k)=(k)^{5}-k$

3) Induction,

$f(k+1)=(k+1)^{5}-(k+1)$

$=(k^{5}+5k^{4}+10k^{3}+10k^{2}+5k+1)-k-1$

$=k^{5}+5k^{4}+10k^{3}+10k^{2}+4k$

Now, $f(k+1)-f(k)$

$f(k+1)-f(k)=k^{5}+5k^{4}+10k^{3}+10k^{2}+4k-(k^{5}-k)$

$f(k+1)-f(k)=k^{5}+5k^{4}+10k^{3}+10k^{2}+4k-k^{5}+k$

$f(k+1)-f(k)=5k^{4}+10k^{3}+10k^{2}+5k$

Take out the common factor,

$f(k+1)-f(k)=5(k^{4}+2k^{3}+2k^{2}+k)$ (divisible by 5)

add both the sides by f(k)

$f(k+1)=f(k)+5(k^{4}+2k^{3}+2k^{2}+k)$

We have proved that difference between $f(k+1)$ and $f(k)$ is divisible by 5.

so, our assumption in step 2 is correct.

Since $f(k)$ is divisible by 5, then $f(k+1)$ must be divisible by 5 since we are taking the sum of 2 terms that are divisible by 5.

Therefore, for every integer n>1, the number $n^{5}-n$ is a multiple of 5.

3 0

2 years ago

Only two full boxes and a box that was 75% full. Create a written expression

Alona [7]

Answer:

2( 100%) +75%

Step-by-step explanation:

a full box will literally be 100%, so two full boxes will be 2 × a full ie 100%, 'and' a box ie 75% full is addition '+'

5 0

2 years ago

This is super confusing plz help???

netineya [11]

Answer:

None. She gave half to one person then the other half to another person.

Step-by-step explanation:

Hope this is correct, if not feel free to let me know. I'm sorry in advance if this is wrong.

4 0

2 years ago

Read 2 more answers

Which statement about triangles is NOT true?

garri49 [273]

Answer:

I believe the second is wrong

4 0

2 years ago