Answer:
a reflection in the x-axis, and a vertical translation of 8 units down.
Step-by-step explanation:
The given function is
The transformed function is
We can see that the transformation is of the form
Where h=8 is a downward shift by 8 units.
And the negation tells us that the parent function is reflected in the x-axis
The exponential growth formular is given by
where: P is the population of the country, t years after the initial year (i.e. in this case, 1994).
is the initial population of the country (i.e. the population of the country in 1994).
r is the growth rate of the population and
t s the number of years after the initial year.
We obtain the value of r by comparing the growth between 1994 and 1998.
Here: P = 146,
, and t = 4 years
Thus
To estimate the population of the country in 2011, we note that 2011 is 17 years after 1994.
Thus, the population of the country in 2011 can be estimated to be
million
Therefore, the population of the country in 2011 can be estimated to be 167 million to the nearest million.
Answer: (A) and (B) are the same
Step-by-step explanation:
for (A)
x-=x+4
x=x-(x+4)
x=x-x-4
x=4
for (B)
x=x+4-x
x=4
for (C)
x=x-(x+4)
x=x-x-4
x=-4
so (A) and (B) are the same because the value of their x is +4
Answer:
Step-by-step explanation:
<u>Find the m∠B:</u>
- m∠B = (360° - 310°) + 50° = 100°
a)
<u>Find AC using law of cosines:</u>
- AC = √(8² + 13² - 28*13*cos 100°) = 16.4 km (rounded)
b)
<u>Find m∠A using law of sines:</u>
- 16.4/ sin 100 = 13 / sin A
- m∠A = arcsin (13 sin 100 deg / 16.4) = 51° (rounded)
<u>The bearing of C from A:</u>
c)
<u>Let the required distance is x:</u>
- x/ BC = sin 50°
- x = BC sin 50°
- x = 13 sin 50°
- x ≈ 10 km (rounded)
Answer:66666
Step-by-step explanation: