Answer:
5/11
Step-by-step explanation:
4/11 × 10/8
= 40/88
= 5/11
The given expression is:

From the above equation, we can answer all the 4 questions.
a) Initial value occurs when x = 0
So,
So, the Initial value of the function is 1/2.b) Simplified Base:The base of an exponential function is the term which contains the exponent.
From the simplified equation, we can see that the base has been simplified and is equal to 9.
So, the simplified base is 9
c) Domain:
From the equation we can see that there is no such value which makes the function undefined. So all reall numbers are included in the Domain.
So, Domain is Set of All real numbers. In Interval notation this can be expressed as: (-∞,∞)d) Range:Range is the set of all y values that a function can take. Since the graph is not shifted vertically up or down, the range will be the set of all real numbers greater than zero.
So, Range is equal to All real numbers greater than 0.In Interval notation, this can be expressed as (0,∞)
Answer: 67°
Step-by-step explanation:
From the diagram given, we can see that 1 and 4 are angles on a straight line. It should be noted that sum of angles on a straight line equals to 180°.
Therefore,
Angle 1 + Angle 4 = 180°
113° + Angle 4 = 180°
Angle 4 = 180° - 113°
Angle 4 = 67°
Therefore, the measure of <4 is 67°
Width of the actual barrier = 1.2 miles
Width of the barrier in the blueprint = 2 inches
2 inch dimension of blueprint = 1.2 miles of original
So, 1 inch dimension of blueprint = 1.2/2 = 0.6 miles.
Since the length of the barrier in the blueprint = 9 inches,
length of the actual barrier = 9(0.6) = 5.4 miles.
Answer: y= 4/3x
Explanation: the table is going up by 4/3