Answer:
5^ -7 =1 / 5^7
Step-by-step explanation:
(5^2)-^2/ 5^3
We know that a^b^c = a^(b*c)
(5^2)-^2 = 5^(2*-2) = 5^-4
5^-4/ 5^3
We know that a^b /a^c = a^ (b-c)
5 ^ (-4-3)
5^ -7
If we don't want to use negative exponents
We know that a^ -b = 1/ a^b
1 / 5^7
Answer:
6 trials
Step-by-step explanation:
The number of rats that run the maze incorrectly after t trials ;
N(t) = 100e^-0.14t
Initial number of rats = 100
45% of rats to run the maze incorrectly ; 45% * 100 = 45 rats
N(t) = 45
N(t) = 100e^-0.14t
45 = 100e^-0.14t
45/100 = e^-0.14t
0.45 = e^-0.14t
Take the In of both sides :
In(0.45) = In(e^-0.14t)
- 0.798507 = - 0.14t
Divide both sides by -0.14
- 0.798507 / - 0.14 = - 0.14t / - 0.14
5.7036 = t
To the nearest whole number :
Number of trials, t = 6 trials
The probability would be 8/12
Answer:
(4a + 7b)(16a² - 28ab + 49b²)
Step-by-step explanation:
Use the sum of two cubes to factor
In addition
a³ + b³ = (a + b)(a² - ab + b²)
In subtraction
a³ - b³ = (a - b)(a² + ab + b²)
64a³ + 343b³ = (4a + 7b)(16a² - 28ab + 49b²)
Answer:
Let,
P= kT
P = 10, when T = 500
So, 10=k500
or, k=10/500
or, k=1/50
When T=509
P=kT
or, P=(1/50)×509
or, P=508/50
or, P = 10.18
And when P = 509 (since the question isn't clear)
509=(1/50)×T
or, T=509×50
or, T=25450