Answer:
[(2)^√3]^√3 = 8
Step-by-step explanation:
Hi there!
Let´s write the expression:
[(2)^√3]^√3
Now, let´s write the square roots as fractional exponents (√3 = 3^1/2):
[(2)^(3^1/2)]^(3^1/2)
Let´s apply the following exponents property: (xᵃ)ᵇ = xᵃᵇ and multiply the exponents:
(2)^(3^1/2 · 3^1/2)
Apply the following property of exponents: xᵃ · xᵇ = xᵃ⁺ᵇ
(2)^(3^(1/2 + 1/2)) =2^3¹ = 2³ = 8
Then the expression can be written as:
[(2)^√3]^√3 = 8
Have a nice day!
Answer:
10 people lesser.
Step-by-step explanation:
Initially, it 15 people get off but 9 people get picked up, hence losing 6 people. If 4 more people get off, it has then lost 10 people total.
The original number of passengers on the bus decreased by 10 after the second stop
Assume that the total passengers on the bus before 2:30 was x
Now, at 2:30:
15 passengers got off and 9 got on.
This means that:
number of passengers = x - 15 + 9
number of passengers = x -6
10 minutes later:
4 passengers got off the bus
This means that:
number of passengers = (x-6) - 4
number of passengers = x - 10
The original number of passengers on the bus decreased by 10 after the second stop.
Answer:5625 yards
Step-by-step explanation:
2/5=6/15
1/3=5/15
6/15+5/15=11/15
(15/15)-(11/15)=4/15
1500/4=375
375×15=5625
Answer:
(x + 7)(x + 3).
Step-by-step explanation:
x^2 +10x + 21
21 = 7 * 3 and 10 = 7 +3
so the factors are
(x + 7)(x + 3).
Answer:
P'(1, 5)
Step-by-step explanation:
Up 3 is vertical movement, so it changes the y-value: 2 + 3 = 5
Right 4 is horizontal movement, so it changes the x-value: -3 + 4 = 1
