Answer:
a). The number if ways it can be arranged in a row= 362880 ways
b). 40320 ways
c). 5040 ways
Step-by-step explanation:
There are 9 alphabets in the word ALGORITHM
The number if ways it can be arranged in a row= 9!
The number if ways it can be arranged in a row= 9*8*7*6*5*4*3*2*1
The number if ways it can be arranged in a row= 362880 ways
if A and L must remain together (in order) as a unit, then we take it as 8 alphabets
= 8!
= 8*7*6*5*4*3*2*1
= 40320 ways
if the letters GOR must remain together (in order) as a unit, then we have 7 alphabets units remaining
= 7!
= 7*6*5*4*3*2*1
= 5040 ways
5/7=15/21 and 2/3=14/21, So Leah ran 1/21 of a lap further
The equation for height as a function of time can be written as
.. h(t) = -16t^2 +110t +2
.. = -16(t^2 -55/8t) +2
.. = -16(t^2 -55/8t +(55/16)^2) +2 +55^2/16 . . . . . complete the square
.. = -16(t -55/16)^2 +191 1/16 . . . . . . . . . . . . . . . . . . vertex form
The maximum height the ball will reach is 191 1/16 feet.
Answer:
Step-by-step explanation:
This can be simplified by combing like terms.
8x^2 and 15x^2 are like terms. Since both numbers are positive, we add them together.
The sum of 8x^2 and 15x^2 is 23x^2
I hope this helps.
Looks like the interest rate is 0.23%, and the function is the first one shown, the first block.
