Answer: 1) 5040 and 2) 165
Step-by-step explanation:
1) Here total number of letters = 10
The number of permutations that can be formed using 4 letters at a time
= P (10, 4)
=
=
=
=
= 10 × 9 × 8 × 7
= 5040
2) Here the total number of machine = 11
The different combinations of machines can Geoff choose from to use
=
=
=
=
= 11 × 5 × 3
= 165
Answer:
407 Dollars
Step-by-step explanation:
550 x 0.26 = 143 dollars that he keeps, now we do 550 - 143 = 407, that gets withheld
Answer:
The point of intersection indicates when Amilio and Kyree are on the same step.
Step-by-step explanation:
Amilio and Kyree are the same height at 3 seconds.
Answer:
t₁ = 2,75 sec
Step-by-step explanation:
The ball will get h maximum when dh/dt ( its vertical component of the speed is equal to 0. At this moment the ball has flown half of the total flight time
Then
h(t) = - 4t * ( 4*t - 11 )
h(t) = - 16*t² + 44*t
Taking derivatives on both sides of the equation we get:
dh/dt = - 32*t + 44
dh/dt = 0 ⇒ -32*t + 44 = 0
t = 44/32 ⇒ t = 1,375 s
So twice this time
2*t = 2 * 1.375
Total time t₁ = 2,75 sec