Since none of the terms have the same variables the like terms would be (A) because they are both constants
Answer:
50 million
Step-by-step explanation:
You don't need to go to the trouble to find the value of k in e^(kt). Rather, you can use the given ratio directly.
When t = years after 1990, the population of 49 million took 12 years to achieve. The estimate desired is for 16 years after the year 1990. The appropriate exponential formula for the population is ...
P = 46·(49/46)^(t/12)
Then for t=16, this is ...
P = 46·(49/46)^(16/12) ≈ 50.04 . . . . million
The population in 2006 is estimated at 50 million.
_____
The form of the exponential equation we used above is ...
f(x) = (baseline value)·(ratio to baseline)^(x/(interval corresponding to ratio))
Answer:
13/7, 221/182 and expansion, 507 inches
Step-by-step explanation:
If the two quadrilaterals are similar, you can take the diagonal length as a similar side to find the scale factor. In this case, the scale factor would be 13/7. For simplicity, we can keep this a factor for now. Because the quadrilaterals are similar, the scale factor is the same for all sides, 13/7. Because you are going from ABCD to EFGH and the scale factor is 13/7 (otherwise the other way around would be 7/13) and so the scale factor is greater than 1, you are expanding aka expansion. So, to find EF from side AB and you have the length 17/26, just multiply that by 13/7 to get 221/182 as the length.
To find the area of EFGH, you square the scale factor 13/7 and equal it to the area of EFGH A is over the area of the ABCD (you ratio them and set them equal) so 169/49 = A/147 and solve for A which is then 49A = 169 x 147 which is then 507 inches.
Answer:
dont know
Step-by-step explanation:
Answer:
B = 129
Step-by-step explanation:
Opposite angles of a parallelogram are equal (or congruent)
A and C are both 51.
All angles in a parallelogram equal 360
Take both the known angles and substract from 360, than divide by 2.
B = (360 - 51 - 51)/2
B = 129
