Answer:
a = 
Step-by-step explanation:
Given:
f(x) = log(x)
and,
f(kaa) = kf(a)
now applying the given function, we get
⇒ log(kaa) = k × log(a)
or
⇒ log(ka²) = k × log(a)
Now, we know the property of the log function that
log(AB) = log(A) + log(B)
and,
log(Aᵇ) = b × log(A)
Thus,
⇒ log(k) + log(a²) = k × log(a) (using log(AB) = log(A) + log(B) )
or
⇒ log(k) + 2log(a) = k × log(a) (using log(Aᵇ) = b × log(A) )
or
⇒ k × log(a) - 2log(a) = log(k)
or
⇒ log(a) × (k - 2) = log(k)
or
⇒ log(a) = (k - 2)⁻¹ × log(k)
or
⇒ log(a) = 
(using log(Aᵇ) = b × log(A) )
taking anti-log both sides
⇒ a =
For 10 here is the answer and for 9 i’ll reply to my comment
The probability of event A and event B IS 15/91.
What is the probability?
Probability determines the odds that a random event would occur. The odds lie between 0 and 1.
The probability of event A = number of brown marbles / total number of marbles
= 6/14
The probability of event B = number of orange marbles / total number of marbles -1
= 5/13
P(A and B) =6/14 x 5/13
= 30/182
= 15/91
To know more about probability visit:
brainly.com/question/3142525
#SPJ4
Answer: The independent variable is the variable the experimenter changes or controls and is assumed to have a direct effect on the dependent variable. ... The dependent variable is the variable being tested and measured in an experiment, and is 'dependent' on the independent variable.
Step-by-step explanation:
The image of the floor dimensions is missing, so i have attached it.
Answer:
$88.92
Step-by-step explanation:
Looking at the attached floor plan, we have to divide it into two parts to solve easily.
To get the smaller side of the bigger triangle; 3 - 0.6 = 2.4m
Thus,bigger triangle measures; 3.6m x 2.4m
For the smaller triangle, dimensions are; 0.6m x 1.2m
Area of bigger triangle = 3.6 × 2.4 = 8.64 m²
Area of smaller triangle = 0.6 × 1.2 = 0.72 m²
Total area = 8.64 + 0.72 = 9.36 m²
Since the carpet costs $9.50 per sq.m.
Thus;
Total spent for wall to wall carpet is = 9.36 × 9.5 = $88.92
