Exponential:
It is called the exponential function of base a, to that whose generic form is f (x) = a ^ x, being a positive number other than 1.
Every exponential function of the form f (x) = a^x, complies with the followingProperties:
1. The function applied to the zero value is always equal to 1: f (0) = a ^ 0 = 1
2. The exponential function of 1 is always equal to the base: f (1) = a ^ 1 = a.
3. The exponential function of a sum of values is equal to the product of the application of said function on each value separately.
f (m + n) = a ^ (m + n) = a ^ m · a ^ n
= f (m) · f (n).
4. The exponential function of a subtraction is equal to the quotient of its application to the minuend divided by the application to the subtrahend:
f (p - q) = a ^ (p - q) = a ^ p / a ^ q
Logarithm:
In the loga (b), a is called the base of the logarithm and b is called an argument, with a and b positive.
Therefore, the definition of logarithm is:
loga b = n ---> a ^ n = b (a> 0, b> 0)
Answer:
0.705
Step-by-step explanation:
Data:
walks=0.65 and is late=0.4;is not late=0.6
cycles=0.35 and is late=0.1;is not late=0.9
The probability of sheila walking and not being late:
0.65 x 0.6=0.39
AND probability of being not late and cycling:
0.35 x 0.9=0.315
therefore,the probability of sheila walking or cycling and still not being late:
0.39+0.315=0.705
Hello!
We must use a certain formula to calculate the surface area of a rectangular prism. The formula is:
A = 2 (wl + hl + hw)
Substitute:
A = 2(4 × 5) + (2 × 5) + (2 × 4)
A = 2(20 + 10 + 8)
A = 76 cm squared
ANSWER:
The surface area of the right rectangular prism is 76 centimetres squared.
Consider that we need to find 
.
Given:
The functions are:
To find:
The function operations .
Solution:
We have,
Now,
Similarly,
And,
And,
Therefore, the required functions are , , and .
