Basically, you just have to use the formula of the volume of a cylinder, which is πr^2h, to find the answers
Sorry about the picture being blurry, really bad camera
3. Radius = 6 ÷ 2
= 3 cm
Volume = πr^2h
= π × 3^2 × 5
= 45π
Answer: B
Step-by-step explanation: Hope this helps :)
To start, the first thing you need to do is to find the slope of your x and y values, or in other words, your rate of change. To do this, use the slope intercept formula or (y2-y1)/(x2-x1) and you can use any two pairs of x and y values.
Using the x and y values of (2, 96) and (3, 76.80), plug the values into the slope intercept formula. This would look like this:
(76.80-96)/(3-2)
When you simplify, you should get -19.2/1 or simply -19.2 as your slope.
Then, using the linear equation y=mx+b, plug in a coordinate point into the x and y variables and plug your slope into the m value in order to solve for the value of your y-intercept, or b.
This would look like this:
96=-19.2(2)+b
When you simplify, you will get 96=-38.4+b and when you solve for b, you get that b=134.4
Now that you have your slope and your y-intercept, you can conclude that the equation to this input/output chart would be
y=-19.2x+134.4
Answer:
The answer is c
Step-by-step explanation:
Let x be the amount of Columbian coffee in the mixture and y the amount of Sumatra coffee in the mixture, then
x + y = 1 . . . (1)
9.25x + 14.25y = 12.50 . . . (2)
(1) x 9.25 => 9.25x + 9.25y = 9.25 . . . (3)
(2) - (3) => 5y = 3.25 => y = 3.25/5 = 0.65
From (1), x + 0.65 = 1 => x = 1 - 0.65 = 0.35
1 pound of the mixture contains 0.35 Columbian coffee and 0.65 Sumatra coffee
Therefore, 12 pounds of the mixture will contain 0.35 x 12 = 4.2 pounds of Columbian coffee and 0.65 x 12 = 7.8 pounds of Sumatra coffee