Answer:
k = 2
Step-by-step explanation:
f(x) and g(x) = f(x) + k
G(x) is the function f(x) moved up k units
G(x) is moved up 2 units so k is 2
Given:
2009 : 3,500 population
decrease of 2.2% per year.
100% - 2.2% = 97.8%
2014 - 2009 = 5 years
3,500 * (0.978)^5 = 3,500 * 0.89473 = 3131.57
The bird population in 2014 will be 3,131.57 or 3,132.
Sorry it's quite complex, simplify then... had to use an nspire
1. x=1.22248
2. x=15624.8
3. x=0.057522 (shown in picture)
4. x=-0.732487
too bad i cant upload more than 1 pic
1. square base area= 25 inches
2. using the slanted 6.5
=1/2base , therefore 5/2=2.5 inches
3. then use pythagoras.... c=6.5, a=2.5
c^2=a^2 + b^2
(do this urself)
4. when u find what b is... that's the height of one of the triangle
base= 2.5 (look at step 2 if u don't understand this bit)
height=b (refer to step 3)
5. then work out the area of 1 triangle using that...
6. then have (the answer u work out in step 5 ) multiply 4
this will give u the area for the all of the 4 triangles...
7. Then add together the square based area in step 1..(25)
to the 4 triangular, area faces (i.e from step 6) - the total will be ur answer for the amount of cardboard!!
p.s don't forget the units!!!
<h3>
Answer:</h3>
- Not appropriate
- Appropriate
- Not appropriate
<h3>
Step-by-step explanation:</h3>
1st Question
The transformation g(x) = f(x -h) +k translates a function h units to the right and k units upward. Your expression has (h, k) = (-2, -4), so the graph of the function will be translated 2 units left and 4 units down.
A distinctive feature of the cube root curve is the vertical spot normally at point (0, 0). You're looking for the graph that has that relocated to (-2, -4). Graph A matches that.
2nd Question
- The method described is a reasonable one for choosing a random sample of theater patrons, but there is no reason to believe theater patrons are representative of all drivers in the city. The method is not appropriate.
- Provided the persons in the study are representative of the demographic of interest, assigning them to study groups based on the flip of a coin is appropriate.
- The variable under study is previous exposure to chicken pox, so members of the study groups need to be chosen on that basis. Participants in the study need to be carefully selected to control for all other variables. The group assignment described is not appropriate.