Your post (" <span>f(x) = 2/3(6)x ") would be clearer and less ambiguous if you'd please format it as follows:
</span><span>f(x) = (2/3)(6)^x. The (2/3) shows that 2/3 is the coefficient of the exponential function 6^x. Please use " ^ " to indicate exponentiation.
Start by graphing </span><span>f(x) = (2/3)(6)^x. The y-intercept, obtained by setting x=0, is (0, 2/3). Can you show that the value of f(x) is (2/3)*6, or 4, at x=1, (2/3)*6^2, or 24, at x = 2, and so on? What happens if x becomes increasingly smaller? The graph approaches, but does not touch, the x-axis.
If you complete this graphing assignment, then all you'd have to do is to flip the whole graph over vertically, reflecting it in the x-axis. You'll see that the graph never touchs the x-axis. Therefore, the range of this flipped graph is (-infinity, 0).</span>
23° 20' 48" in degrees
Minutes are 1/60 of a degree and seconds 1/60 of a minute.
Let's convert the 48" to minutes.
48/60 = 0.8
23° 20' 48" ⇒ 23° 20.8'
Let's convert the 20.8' to degrees.
20.8/60 ≈ 0.3466667
23° 20.8' ⇒ 23.35°
The Gestalt principle of proximity states that objects and shapes form groups if they are close to one another. The shapes, sizes, and objects do not matter in this case even when there are visible differences. The law shows that smaller elements come together in a composition.
Answer: 200 kcal
SOLUTION
Given,
A bottle of drink has four eight-ounce (1-cup) servings per
bottle.
There are 50 kcal per cup
Amount of kcal per bottle = ?
1 bottle = 4 cups
1 cup = 50 kcal
1 bottle = 4 cups = 4 x 50 kcal
1 bottle = 4 cups = 200 kcal
Therefore, there are 200 kcal in the whole bottle
