2005= 18,000
2010= 45,000
1) make 2005 year "0", and 2010 year "5"
2)in order to solve this problem and figure out the rate of change, we must use the equation for exponential functions y=ab^x
3) a= the y- value of y intercept ( what does y equal when x is zero) in this case a population number so, a= 18,000; b= the unknown rate of change; x= time and since we're finding b we can plug in 5 for the time in years; y= the value of y in terms of the x-value, so when x is 5, y is 45,000
4) you end up with something like this
45,000= 18,000b^5
5) in order to proceed to solve you must get b alone
6) divide both sides by 18,000
7) so you no have 2.5= b^5
8) take the fifth root of both sides
9) now you have your answer b=<span>1.20112443398</span>
9514 1404 393
Answer:
Step-by-step explanation:
The midline is half the length of the parallel base.
2(2x +36) = 3x +57
4x +72 = 3x +57 . . . . . . eliminate parentheses
x = -15 . . . . . . . . . . subtract 72+3x from both sides
Then the length of GH is ...
GH = 2x +36 = 2(-15) +36 = -30 +36
GH = 6
_____
The calculation steps are shown above. The strategy is to take advantage of the relation between the lengths of a midline and the corresponding base segment.
Answer:
the base is 10 and the height is 6.4
Answer: 0) 0.22
1) 0.20
2) 0.12
3) 0.14
4) 0.28
5) 0.04
<u>Step-by-step explanation:</u>
The total frequency is 33+30+18+21+42+6 = 150. This means they ran the experiment 150 times. The probability (P) is calculated by the satisfactory number of outcomes (frequency) divided by the total number of experiments/outcomes (total frequency):
![\begin{array}{c|c||lc}\underline{x}&\underline{f}&\underline{f\div 150}&\underline{\text{P}}\\0&33&33\div 150=&0.22\\1&30&30\div150=&0.20\\2&18&18\div 150=&0.12\\3&21&21\div 150=&0.14\\4&42&42\div 150=&0.28\\5&6&6\div 150=&0.04\end{array}\right]](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bc%7Cc%7C%7Clc%7D%5Cunderline%7Bx%7D%26%5Cunderline%7Bf%7D%26%5Cunderline%7Bf%5Cdiv%20150%7D%26%5Cunderline%7B%5Ctext%7BP%7D%7D%5C%5C0%2633%2633%5Cdiv%20150%3D%260.22%5C%5C1%2630%2630%5Cdiv150%3D%260.20%5C%5C2%2618%2618%5Cdiv%20150%3D%260.12%5C%5C3%2621%2621%5Cdiv%20150%3D%260.14%5C%5C4%2642%2642%5Cdiv%20150%3D%260.28%5C%5C5%266%266%5Cdiv%20150%3D%260.04%5Cend%7Barray%7D%5Cright%5D)
1/2 of 2/3 is 1/3
1/3 of the pizza was left
