The absolute value of -5 is 5, and the absolute value of 5 is also 5. ∣ a + b i ∣ = a 2 + b 2 . |a+bi| = \sqrt{a^2 +b^2}.
Answer:
The probability of picking a green is 0.4
Step-by-step explanation:
Mathematically, when we talk of the highest possibility an event can have, we have the answer as 1
Hence, when we add up all the probabilities, it is expected that we arrive at a value equal to 1
Thus, the probability of selecting each individual colors add up to 1
since we have the probability of three colors, the probability of the fourth will be the sum of the others subtracted from 1
we have the probability of picking a green as;
1 - 0.25 - 0.15 - 0.2 = 0.4
The following statements are true about exponential functions:
-The domain is all real numbers.
- The input to an exponential function is the exponent.
- The base represents the multiplicative rate of change.
The reason why the other two options are wrong are explained below:
The range of exponential functions is not always includes negative numbers; on the contrary, the range is the set of all positive real numbers.
The graph of an exponential function does not have a horizontal asymptote at x = 0; contrarily, the equation of the horizontal asymptote of the graph of is y = 0, which is the x-axis.
Problem 1) Correct. Start at x = 2 and move slightly to the left of it. As you approach x = 2 along the curve, the y value fluctuates wildly not approaching a fixed value. This is why the lefthand limit (LHL) does not exist (DNE)
Problem 2) Correct. The right hand limit (RHL) does exist and the limiting value is 2. If you approach x = 2 from the right, you slowly get closer to y = 2
Problem 3) Incorrect. Because the LHL does not exist, this means that overall the limit at x = 2 DNE as well. You need to be able to approach it from both sides getting to the same value for the overall limit to exist.
Problem 4) Incorrect. If you approach x = 0 from either side, then you get to y = 0. So the limit does exist and the limiting value is 0. The answer for this box is 0.
Problem 5) Incorrect. The answer is DNE or undefined. The limit at x = 0 exists but the actual value does not. This is shown by the hole at x = 0.
