We have been given that a huge ice glacier in the Himalayas initially covered an area of 45 square kilo-meters. The relationship between A, the area of the glacier in square kilo-meters, and t, the number of years the glacier has been melting, is modeled by the equation
.
To find the time it will take for the area of the glacier to decrease to 15 square kilo-meters, we will equate
and solve for t as:



Now we will switch sides:

Let us take natural log on both sides of equation.

Using natural log property
, we will get:










Therefore, it will take
years for area of the glacier to decrease to 15 square kilo-meters.
For finding the values, we look at the x - value given. Then we move to where it is on the graph and find its y value.
In part A, when x = -4, the y value looks to be between -3 and -4. Let's put it in the middle and estimate it at -3.5
In part B, when x = 1, the process is similar. Go to x = 1, then go to the graph, then go to the y value. That looks to be at y = -3.
In part C, when x = 4, there are three values that work. We are actually answering part D at this point because we can tell this graph is NOT a function of x. When you have an x -value that goes into the function, you have to get EXACTLY ONE thing that comes out. I bolded "EXACTLY ONE" because those words make the definition work. Two or more, not a function. One, it's a function. None, and it's not in the domain at all. There are three values of y that work, and they are - from top down, 3.5, 0, -2.5.
We answered Part D when observing part C. It's NOT a function because there is not EXACTLY ONE value of y for an x.
And finally, because it's not a function - finding the domain and range is a waste of time. You can't find the domain of something that's not a function - you need a function to have a domain.
Hope that helps.
5*4 for the male roles
6*5 for the female roles
after they are assigned
7*6 for the either gender
20+30+42 =92 total ways
or
20*30*42= 25200 total ways
Answer:
It would have to be 650
Step-by-step explanation:
Hope this helped
Tried a whole bunch of odd sequences:
11 + 13 + 15 = 39
Nope too small.
21 + 23 + 25 = 69
Woah too big!
And after a few more trials found that:
17 + 19 + 21 = 51
Woohoo!