and 
Solution:
Given value 
.
To evaluate the expression 
.
Using logarithmic rule: 
We know that .
Using another logarithmic rule: 
Hence and .
Answer:
Option C
Step-by-step explanation:
Given expression in the question is,
y = 
To get the value of t,
Take the log on both the sides of the expression,
log(
) = ![\text{log}[(2^{\frac{t}{30}})]](https://tex.z-dn.net/?f=%5Ctext%7Blog%7D%5B%282%5E%7B%5Cfrac%7Bt%7D%7B30%7D%7D%29%5D)
log() = 
t = 
t = ![30[\text{log}_2(\frac{y}{7})]](https://tex.z-dn.net/?f=30%5B%5Ctext%7Blog%7D_2%28%5Cfrac%7By%7D%7B7%7D%29%5D)
[Since, 
]
Therefore, Option C will be the answer.
Answer:
answer is the frist picture
Step-by-step explanation:
Answer and Step-by-step explanation:
Given
ax + by = c
qx + ry = s
(a) the equation has no solutions if a/q = b/r ≠ c/s, when this happens, we say the system of equations has no solution. For example
x + y = 3
x + y = 5
Subtracting first equation from the second we have:
0 = 2 which is impossible.
(b) the equations have infinite solutions if a/q = b/r = c/s, for example
x + y = 2
x + y = 2
Subtracting the first equation from the second we have
0 = 0, since this is always true, then it has infinite solutions.
(c) the equations have unique solutions if a/q ≠ b/r, for example
x + y = 2
x – y = 1
Adding the first and second equation we have
2x = 3, we can get x from here and definitely y, so we have just one solution.
Answer: 0.343
Step-by-step explanation:
Probability of college students that say they have a job = 70%
Number of randomly selected college students = 3
The probability that 3 randomly selected college students say they have a job will be:
= (70/100)³
= 0.7 × 0.7 × 0.7
= 0.343
