Answer:
Scully will catch up with Mulder by 7:30 PM.
Step-by-step explanation:
Consider the provided information.
Mulder leaves the office at 9:30a.m. averaging 57mph.
Scully leaves at 10:00a.m., following the same path and averaging 60 mph.
Distance covered by Mulder between 9:30 AM and 10:00 AM:
miles
Let t is the time taken by Scully to catch up with Mulder.
After leaving office Scully needs to cover extra distance of 28.5 miles because Mulder leaves the office earlier.
Therefore total distance cover by them is:
Hence, it would take 9 hours 30 minutes to catch up Mulder.
10 am + 9 hours 30 minutes = 7:30 pm
Therefore, Scully will catch up with Mulder by 7:30 PM.
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:
A right angle measures 90°.
A supplementary angle is twice the measure of a complementary angle.
Step-by-step explanation:
If you are trying to find the cost of the basket ball, it is $8.15.
Step 1: Find 20% of 10.95- which is 2.19- and subtract 2.19 from 10.95-which is 8.76.
Step 2: Find 7% of 8.76-which is 0.6132- and subtract 0.6132 from 8.76-which is 8.1468
Step 3: Round to the nearest hundredth, which gives you 8.15.
Thus, $8.15 is your answer.
Answer:
A good display will help to summarize a distribution by reporting the center, spread, and shape for that variable. ... In these plots the horizontal axis represents the values of the variable and the height of the bar represents how many observations are equal to the particular value.
Step-by-step explanation:
