Answer:
24xy+2y−234x2fromy+14x
Step-by-step explanation:
24xy−10y−(18×13)xxfromy+12y+14x
24xy−10y−234xxfromy+12y+14x
24xy−10y−234x2fromy+12y+14x
24xy+(−10y+12y)−234x2fromy+14x
The poopulation exponential model is given by

Where, P(t) is the population after year t; Po is the initial population, t is the number of years from the starting year; k is the groth constant.
Given that the population in 1750 is 790 and the population in 1800 is 970, we obtain the population exponential equation as follows:

Thus, the exponential equation using the 1750 and the 1800 population values is

The population of 1900 using the 1750 and the 1800 population values is given by

The population of 1950 using the 1750 and the 1800 population values is given by

From the table, it can be seen that the actual figure is greater than the exponential model values.
Answer:
The tree diagram is shown below.
Step-by-step explanation:
The color of the four skittles Junior had in his bag are:
S = {red (R), blue (B), green (G) and yellow (Y)}
It is provided that Junior takes a skittle out and eats it and then takes another skittle from the bag.
So, Junior has four options for the first draw, i.e. {R, B, G and Y}.
Then three options for the second draw. But the second draw is dependent on the first draw.
- If Junior ate the red skittle first, then the second skittle could be any of the three, (B, G and Y).
- If Junior ate the blue skittle first, then the second skittle could be any of the three, (R, G and Y).
- If Junior ate the green skittle first, then the second skittle could be any of the three, (R, B and Y).
- If Junior ate the yellow skittle first, then the second skittle could be any of the three, (R, B and G).
Consider the tree diagram below to better understand the information above.
Check the picture below.
let's recall that in a Kite, the diagonals meet at 90° angles, therefore, we know the height of each of those 4 triangles, is 2.5 and 6, now, since the pair of triangles above are 45-45-90 triangles, we can use the 45-45-90 rule, as you see there, so, if the height is 2.5, then the base is also 2.5.
so, we really have 2 pair of triangles whose base is 2.5 and height of 2.5, and another pair of triangles whose base is 2.5 and height is 6, let's add their areas.
![\bf \stackrel{\textit{area of 2 triangles above}}{2\left[\cfrac{1}{2}(2.5)(2.5) \right]}~~+~~\stackrel{\textit{area of 2 triangles below}}{2\left[ \cfrac{1}{2}(2.5)(6) \right]}\implies 6.25+15\implies 21.25](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7B%5Ctextit%7Barea%20of%202%20triangles%20above%7D%7D%7B2%5Cleft%5B%5Ccfrac%7B1%7D%7B2%7D%282.5%29%282.5%29%20%5Cright%5D%7D~~%2B~~%5Cstackrel%7B%5Ctextit%7Barea%20of%202%20triangles%20below%7D%7D%7B2%5Cleft%5B%20%5Ccfrac%7B1%7D%7B2%7D%282.5%29%286%29%20%5Cright%5D%7D%5Cimplies%206.25%2B15%5Cimplies%2021.25)
Answer:
125
Step-by-step explanation:
We're looking for a number that we can multiply three of the same number to get. For example, 25 is a perfect square, because 5*5 = 25.
You can test these all on your calculator, if you're allowed! Just take the third root of all of them, and if it's a whole number, you know you have a perfect cube.
The answer, though, is 125, because 5*5*5 = 125.