Answer:
-11°C or 1°C
Step-by-step explanation:
The question said that, by the noon, the temperature changes by 6°C, but it doesn't tell you if it changes for a hotter or colder temperature, so its possible the temperature at the noon to be:
-5 -6 = -11°C
or
-5 +6 = 1°C
To graph the possible temperatures, you have to draw a dot at the numbers -11 and 1
To solve this problem you must apply the proccedure shown below;
1. You have the following exponential equation given in the problem above:
3.2+e^(6x)=54.2
2. You must solve for e, as following:
e^(6x)=54.2-3-2
e^(6x)=51
3. By applying ln, you obtain:
ln(e)^(6x)=ln(51)
6x=ln(51)
x=ln(51)/6
x=0.65
Therefore, the answer is: x=0.65
Answer:
It takes them approximately 27 minutes to mow the lawn if they are working together.
Step-by-step explanation:
Wilma can mow a lawn in 80 minutes. This means she can mow at the rate of 1 lawn in 80 minutes. We can write this rate as R = 1/80
Melissa can mow the same lawn in 40 minutes. This means she can mow at the rate of 1 lawn in 40 minutes. We write the rate as R = 1/40.
Now, if the are working together, we need to determine how long it would take for them to mow a lawn. Let this rate be 1/x.
What we want to find is
1/80 + 1/40 = 1/x
Multiply through by 80, we have
1 + 2 = 80/x
3 = 80/x
Take reciprocals of both sides
x/80 = 1/3
x = 80/3
= 1600 seconds
Approximately 27 minutes
The first picture represents the elements in B that are not (also) in A. So, we want the set difference of B and A:
![B \setminus A = \{x \in B:\ x \notin A\}](https://tex.z-dn.net/?f=%20B%20%5Csetminus%20A%20%3D%20%5C%7Bx%20%5Cin%20B%3A%5C%20x%20%5Cnotin%20A%5C%7D%20)
For the second picture, we can work like this: if we take all the elements belonging to A, we only need to add the bottom-right part, which is the intersection of B and C. So, we can express the blue part as
![A \cup (B\cap C) = \{x:\ x \in A \lor (x\in B \land x\in C) \}](https://tex.z-dn.net/?f=%20A%20%5Ccup%20%28B%5Ccap%20C%29%20%3D%20%5C%7Bx%3A%5C%20x%20%5Cin%20A%20%5Clor%20%28x%5Cin%20B%20%5Cland%20x%5Cin%20C%29%20%5C%7D%20)