Answer:
Exponential decay.
Step-by-step explanation:
You can use a graphing utility to check this pretty quickly, but you can also look at the equation and get the answer. Since the function has a variable in the exponent, it definitely won't be a linear equation. Quadratic equations are ones of the form ax^2 + bx + c, and your function doesn't look like that, so already you've ruled out two answers.
From the start, since we have a variable in the exponent, we can recognize that it's exponential. Figuring out growth or decay is a little more complicated. Having a negative sign out front can flip the graph; having a negative sign in the exponent flips the graph, too. In your case, you have no negatives; just 2(1/2)^x. What you need to note here, and you could use a few test points to check, is that as x gets bigger, (1/2) will get smaller and smaller. Think about it. When x = 0, 2(1/2)^0 simplifies to just 2. When x = 1, 2(1/2)^1 simplifies to 1. Already, we can tell that this graph is declining, but if you want to make sure, try a really big value for x, like 100. 2(1/2)^100 is a value very very very veeery close to 0. Therefore, you can tell that as the exponent gets larger, the value of the function goes down and gets closer and closer to zero. This means that it can't be exponential growth. In the case of exponential growth, as the exponent gets bigger, your output should increase, too.
Answer:
Step-by-step explanation:
3.232323-repeats
1.789-terminates
0.99-repeats
6.25-terminates
Answer:
50x50=1000000
Step-by-step explanation:
Alrighty, let's think of it like this: You are trying to fill a box with a bunch of sports balls. You have tiny little golf balls, and you have giant bowling balls. You need to fill this same box all the way up.
If you fill it with the tiny golf balls, you are going to need a <em>whole lot of them!</em>
If you are putting in bowling balls, only a few of them will fit, because they are so much bigger.
When it comes to your fraction, the box is the the number 8/10. That number will not change because we are not changing the size of the box.
We are just changing what we are filling it with. Manny, can fit 8 parts, or in this case balls, into the box.
It says Ana uses fewer parts, so she cannot fit as many in as Manny.
This means that Manny would have the golf balls, since he can fit more in than Ana, who must have the bowling balls.
So which is bigger? A bowling ball or a golf ball?
A bowling ball, which is what Ana has. So <u><em>Ana's part will be bigger</em></u> in size.
Answer:
Step-by-step explanation:
