Answer: the constant of proportionality here is c
Step-by-step explanation:
In this question, the constant of proportionality c is given by c=1.18n where c and n are two quantities that are directly proportional to each other.
Once the constant of proportionality is analyzed, then find the equation representing the directly proportional relationship between 1.18 and n, namely c=1.18n.
Answer:
Yes
Step-by-step explanation:
Answer:
a) 4,096
b) 0.000244
Step-by-step explanation:
a)
By the Fundamental rule of counting, there are
4*4*4*4*4*4 = 4,096
ways of forming six-digit arrangements where each position has 4 possibilities (1 to 4)
b)
The probability of entering the correct code on the first try, assuming that the owner does not remember the code is
1/4096 = 0.000244
Answer:
x = 1
y = -4
Step-by-step explanation:
You can use 2 methods to solve this, substitution or elimination.
Elimination:
You want to try and get rid of one variable in the pair of equations.
We add them together since y and -y cancel each other out when added.
Now, we have a much simpler equation.
4x - y = 8
+ 6x + y = 2
------------------
10x = 10
x = 1
Now, you can just plug it back in to one of the equations to get y.
(4 x 1) - y = 8
4 - y = 8
y = -4
Substitution:
You can also try and change the equation so that there is only one variable by setting the other equation equal to a variable.
This one is easier to do:
6x + y = 2
y = -6x + 2
Now, plug it into the first equation replacing y, since they are equal, and solve:
4x - y = 8
4x - (-6x + 2) = 8
4x + 6x - 2 = 8
10x = 10
x = 1
Now, you can just plug it back in to one of the equations to get y.
6x + y = 2
(6 x 1) + y = 2
6 + y = 2
y = -4
:)
Answer: 31
Step-by-step explanation:
Is this all of the problem? I don't think it is if you update it I will help further.
Hope this helps!!! Good luck!!! ;)
