In order for a function to have an inverse that is also a function there are 2 main requirements:
1. The function should be bijective (ie) the function should be one-one ( each element in codomain has not more than 1 pre image in domain) and onto ( Range should be equal to codomain)
2. The inverse function should be defined by a suitable domain and range
Hope this answer helps you..
Answer: 15° and 70°
Step-by-step explanation:
The sum of angles of a triangle is 180.
One of the angle is given to be 95°, this means that the sum of the remaining two angles will be ;
180 - 95 = 85°
The ratio of the two sides is given to be 3 : 14
Calculating the angles of each ,the angle with the ratio 3 will be
3/17 x 85 = 15°
The angle with the ratio 14 will be
14/17 x 85 = 70°
Therefore : the measures of the two angles are : 15° and 70°
Answer:
Option A. 0.20
Step-by-step explanation:
Observations from the given frequency table are :
Total number of beds sold at Cloud Nine Furniture = 3 + 6 + 4 + 2
= 15
Number of twin beds sold = 3
Then, probability that the next bed sold will be a twin bed,
= 0.20
Therefore, the probability that the next bed sold is a twin bed will be 0.20 or 20%.
Option A. is the correct answer.
To solve this problem, we must divide the number of movies that Jenny thought were very good by the total number of movies she watched. This is because we are finding a percentage, which represents a part out of a whole that have a factor, which in this case is very good movies. First, we begin by dividing 44/55. Then, we realize that both the numerator and the denominator are divisible by 11, so if we divided them both by 11 that would simplify the fraction.
44/55 = 44/11 / 55/11 = 4/5
Next, we can now easily divide our simplified fraction.
4/5 = 0.8
Finally, we must multiply by 100, because a percentage is a portion of 100 (the total is 100%). This is equivalent to moving the decimal point two places to the right.
0.8 * 100 = 80%
Therefore, Jenny thinks that 80% of the movies she watched this year were very good.
Hope this helps!
Find the difference in temperature between each 1000 feet:
From 1 to 2: 30 - 23.5 = 6.5
From 2 to 3: 23.5 - 17 = 6.5
From 3 to 4: 17 - 10.5 = 6.5
The temperature change is constant as it drops 6.5 degrees for every 1000 foot gain in elevation.
At 5,000 feet the temperature would be : 10.5 - 6.5 = 4
At 6,000 feet: 4 - 6.5 = -2.5
At 7,000 feet: -2.5 - 6.5 = -9
At 8,000 feet: -9 - 6.5 = -15.5
At 8,000 feet the temperature would be -15.5 degrees.
