Answer:
y = -2/3x + 18
Step-by-step explanation:
to find the y intercept you should input the points 15,8
sooo
8 = -2/3(15) + b
8 = -10 + b
b = 18
The surface area of the trash can = 25.12 ft²
Solution:
The given image is splitted into two shapes.
One is Cylinder and the other is hemisphere.
Radius of the cylinder = 2 ÷ 2 = 1 ft
Height of the cylinder = 4 – 1 = 3 ft
Curved surface area of the cylinder = 

= 18.84 ft²
Curved surface area of the cylinder = 18.84 ft²
Curved surface area of the hemisphere = 

= 6.28 ft²
Curved surface area of the hemisphere = 6.28 ft²
Surface area of the trash = CSA of cylinder + CSA of hemisphere
= 18.84 ft² + 6.28 ft²
= 25.12 ft²
The surface area of the trash can = 25.12 ft²
Answer:
11
Step-by-step explanation:
So you first start off with 24, then you add 8 cards and take away 12 + 9 cards, making the equation:
24 + 8 - (12 + 9)
= 32 - 21
= 11
213 - 102 = 111 miles from Praireville to Dorchester
Answer:
9 bottles of water
Step-by-step explanation:
Marginal benefit is a microeconomic concept that explains how much the consumer adds satisfaction to each unit consumed of a given product. Usually, the marginal benefit is decreasing, which makes logical sense, the more a customer consumes a particular good, the smaller the benefit of the next unit.
At first, the first bottle of water has a high benefit as mentioned in the exercise: 9
In the second, you are a little less thirsty, so the benefit will be 10 - 1x2 = $8
In the ninth bottle, you will have very little thirst and the benefit will be 10 - 1x9 = $1
In the tenth bottle there is no benefit, the consumer is indifferent. As a rational consumer, you will buy until the bottle is still usable, even if minimal, for 9 bottles when your benefit is $1.