tolulopevoice:
Mathematicians please solution to question 5

P² - Q² = (P - Q)(P + Q)

M^½ = √(M)

tolulopevoice:
Mathematicians please solution to question 5

dejt4u:

(p^¼ - q^¼)(p^¼ + q^¼)(√p + √q)
= (p^¼ - q^¼)(p^¼ + q^¼)(p^½ + q^½)
= {(p^¼)(p^¼) + (p^¼)(q^¼) - (p^¼)(q^¼) - (q^¼)(q^¼)}{p^½ + q^½}
= {(p^¼)(p^¼) - (q^¼)(q^¼)}{p^½ + q^½}
= {p^½ - q^½}{p^½ + q^½}
= (p^½)(p^½) + (p^½)(q^½) - (p^½)(q^½) - (q^½)(q^½)
= (p^½)(p^½) - (q^½)(q^½)
= p - q

tolulopevoice:
Mathematicians in the house solution to question 10 please

tolulopevoice:
still waiting for correct solution to this please

tolulopevoice:
still waiting for correct solution to this please

Mrshape:

Tell me which of my solution is not correct?
Let me look at the question again

Mrshape:

Check my previous solution I have attempted it

tolulopevoice:
the answer at the textbook says the volume is 5030cm³

tolulopevoice:
the answer at the textbook says the volume is 5030cm³

tolulopevoice:
the answer at the textbook says the volume is 5030cm³

Mrshape:

7/8 πr^3=7/8×22/7×14^3=5028.84~5030cm^3

tolulopevoice:
please can you help with proper and clear solutions

tolulopevoice:
please can you help with proper and clear solutions

Akanoo1:
In how many ways can the letters of the word OBASANJO be arranged such that the vowels will not be together. Need help on this question please, I promised my cousin to assist. Thank you

Mrshape:

Lol promise and fail.
Add one million dollars to it and see how we go rush am

Akanoo1:
In how many ways can the letters of the word OBASANJO be arranged such that the vowels will not be together. Need help on this question please, I promised my cousin to assist. Thank you

naturalwaves:


Step 1.

You have to find the total number of ways the entire words can be arranged and that is 8!/(2! 2!)- This is because letters O and A are doubled.

8!/(2!2!)= 1680 ways


Step 2

You have to find the number of ways the word can be arranged if the vowels must be together. E. G
(OAAO) BSNJ.

This implies that the vowels are 1 letter and we have 4 other letters which are BSNJ

Number of arrangement in this scenerio is 5!= 120

But we also know that each of the vowels can swap positions in this arrangement. Each one can maintain 4 different positions. Thus, the the number of ways of arrangement if the vowels must be together is 120 x 4 =480 ways

Finally, the number of ways of arranging the name OBASANJO if the vowels must not be together = Total number of arrangements possible - Total number of arrangements when vowels are together

This implies 1680-480
Therefore, answer = 1200 ways

I hope this helps?

Mrshape:

Nice one Naturalwave

naturalwaves:


Step 1.

You have to find the total number of ways the entire words can be arranged and that is 8!/(2! 2!)- This is because letters O and A are doubled.

8!/(2!2!)= 1680 ways


Step 2

You have to find the number of ways the word can be arranged if the vowels must be together. E. G
(OAAO) BSNJ.

This implies that the vowels are 1 letter and we have 4 other letters which are BSNJ

Number of arrangement in this scenerio is 5!= 120

But we also know that each of the vowels can swap positions in this arrangement. Each one can maintain 4 different positions. Thus, the the number of ways of arrangement if the vowels must be together is 120 x 4 =480 ways

Finally, the number of ways of arranging the name OBASANJO if the vowels must not be together = Total number of arrangements possible - Total number of arrangements when vowels are together

This implies 1680-480
Therefore, answer = 1200 ways

I hope this helps?

Akanoo1:
Thank you

Aybalance:
pls help:
Two drivers Alison and Kelvin are participating in a drag race.Beginning from a standing start they each proceed with a constant acceleration .kelvin covers the last 1/4 of the distance in 3 secs whereas alison covers the last 1/3 of the distance in 4secs .Who wins and by how much time?

Aybalance:
pls help:
Two drivers Alison and Kelvin are participating in a drag race.Beginning from a standing start they each proceed with a constant acceleration .kelvin covers the last 1/4 of the distance in 3 secs whereas alison covers the last 1/3 of the distance in 4secs .Who wins and by how much time?

Aybalance:
Thanks man....I saw the question under the topic differential equations ....but seems ur approach also works!!!

Billyonaire369:
pls solve for me

Martinez39:
Solving differential equations involves integration. I used integration. Did my answer accord with that given in your textbook?