Believe it or not, this is the second version of Q is very similar to the first, even though it doesn't really look like it. We can represent the second version as a * (1 + r)^t
See the similarity between this and the first version? Thus, we can represent what is given in the problem as:
Q = a * b^t = a * (1 + r)^t
Thus, b = 1 + r. Since b = 0.8, we can find r.
0.8 = 1 + r
r = -0.2, or r = -20%.
1) The answer for both includes a circle. You would rotate the shape around the axis of symmetry, creating an infinite number of 2-d circles stacked on top of each other, creating the cone or cylinder. In the case of a cylinder, the other shape is a rectangle, and in the case of a cone, a right triangle with one line serving as the axis of symmetry.
2) The volume of a cone is the area of the base, multiplied by height, divided by 3. This means that the volume of a cone is 1/3 the volume of a cylinder of equal height and base area. The volume of a cylinder is the area of the base times height. The volume of a pyramid, similar to a cone, is the area of the base (length x width) times the height, divided by three.
3) One definition of density is mass/volume, or mass per unit of volume. For example, if a 5 kg object has a volume of 10 cm³, than the density would be 0.5kg/cm³. In population density, relative to our example, area takes the place of volume and population takes the place of mass. This means that population density is population/area. For example, if 10,000 people occupy an area of 5 square miles, then the population density is 2,000 people/ square mile.
4) As you are clearly learning in this class, the volume of an object is not only determined by its dimensions, such as base, width, and height, but its shape. Let's review the cone example. If a cone and a cylinder have the same base area and height, the cone has a volume of 1/3 that of the cylinder.
5) When might you want to use volume in your daily life? Here is a depressing example. Say your corporate job in the Accounting Department has you feeling blue, and your only break is your daily trip to the water cooler. The cups at the cooler are cone-shaped. Not only is this inconvenient because you can't stand them up without getting the rim dirty, but these cups contain 1/3 the water that a perfectly cylindrical cup of the same base/height could provide. You may tell your manager this, and earn yourself some fancy new cylindrical paper cups!
Answer:
-10
Step-by-step explanation:
Write out the equation
5n-8=n-48
move like terms to the same side
4n=-40
divide 4n and 4 by 4 to get n by itself.
n=-10
Answer:
6,18
2,6
4,12
Step-by-step explanation:
all these numbers are equivalent if you divide the first number by the second ones.
He is incorrect because you can multiply unlike terms like y and x and you'll get xy but you can't add unlike terms like 13x+16y is the simplest it can be.
