Answer:
N = 1680
Therefore, 1680 '4 letter groupings' can be formed from the word 'champion'
Step-by-step explanation:
Given the word 'champion' which is an 8 distinct Letter word. The number of 4 letter groupings that could be formed from it can be given by the permutation since in this case order of letters are important.
The number of distinct 4 letter groupings can be given as;
N = nPr = 8!/(8-4)!, where n= 8 and r = 4
N = 8P4 = 8!/(8-4)!
N= 8!/4!
N = 1680
Therefore, 1680 '4 letter groupings' can be formed from the word 'champion'
6 divided by 2 equals 3. Multiplying with 6 is like multiplying like 3 because multiplying by 6 is equal to multiplying by 3 then multiplying that answer by 2, and getting the same answer as you would when you multiply by 6.
Answer:
I am not sure about the actual answer but hopefuly you figure this out
Step-by-step explanation:
To get the number of boys and girls you do 3+5 to get 8. 120 divided by 8 is 15. so every digit in the ratio is 15 students. 15x3 is 45 and 15x5 is 75. there are 45 girls and 75 boys. 16/25 of the boys go climbing. There are 75 boys so you do 16x3 because 25x3 is 75 so 16x3 is 48. 48 boys go climbing. 120-48 is 72. and 27 boys go sailing.
Given that
(2+i)²/(3+i)
On multiplying both numerator and the denominator with (3-i) then
⇛ [(2+i)²/(3+i)]×[(3-i)/(3-i)]
⇛ [(2+i)²(3-i)]/[(3+i)(3-i)]
⇛ [(2+i)²(3-i)]/[(3²-i²)
⇛ [(2+i)²(3-i)]/(9-i²)
⇛ [(2+i)²(3-i)]/[9-(-1)]
Since ,i² = -1
⇛ [(2+i)²(3-i)]/(9+1)
⇛ [(2+i)²(3-i)]/10
⇛ [{2²+i²+2(2)(i)}(3-i)]/10
⇛ (4+i²+4i)(3-i)/10
⇛ (4-1+4i)(3-i)/10
⇛ (3+4i)(3-i)/10
⇛ (9-3i+12i-4i²)/10
⇛ (9+9i-4(-1))/10
Since, i² = -1
⇛(9+9i+4)/10
⇛(13+9i)/10
⇛ (13/10)+ i (9/10)
We know that
The conjugate of a+ib is a-ib
So,
The conjugate of (13/10)+ i (9/10) is
(13/10)-i(9/10) ⇛ (13/10)+i (-9/10)
<u>Answer:-</u>The conjugate of (13/10)+ i (9/10) is (13/10)+i (-9/10)
<em>Additional</em><em> comment</em><em>:</em>
- The conjugate of a+ib is a-ib and
- i = -1
- (a+b)² = a²+2ab+b² • (a+b)(a-b)=a²-b² •(a-b)²=a²-2ab+b².
Answer:
216:6 ratio
36 rate
Step-by-step explanation:
