Answer:
f(x) = -4x + 80
Step-by-step explanation:
You are given two points,
(5, 60) and (10, 40)
in order to get the equation, let's use the form slope-intercept form
m = (y1 - y2) / (x1 - x2)
m = (60 - 40) / (5 - 10)
m = 20/-5
m = -4
Get the x intercept
y = mx + b
60 = (-4)(5) + b
b = 60+20
b = 80
so the equation is
y = -4x + 80
f(x) = -4x + 80
Answer:
Approximately 107years
Step-by-step explanation:
Given the population of Mathloversville modelled by the equation P=38e^0.095t where t is the number of years from now.
To find the time it will take the population to reach 1million from now, we will substitute P = 1,000,000 into the equation given
1,000,000 = 38e^0.095t
Dividing both sides by 38
1,000,000/38 = e^0.095t
Taking the ln of both sides
ln(1,000,000/38) = ln e^0.095t
ln26,315.79 = 0.095t
10.18 = 0.095t
t = 10.18/0.095
t = 107.16years
It will take approximately 107years for the population to reach 1million
It would seem that the third answer would be right but I am only 60% sure if you do not know the answer for sure, choose C but if you would rather get the 100% answer just wait
We first must find the value of angle z.
Angle z = 90° - 42°
Angle z = 48°
We now use the sine function to find y.
sin(48°) = 35/y
y = 35/sin(48°)
y = 47.0971455362
We now round off to two decimal places.
y = 47.10
I hope this helps....
The mass of hydrogen atoms that measures 54 u is 89.64 x 10^-24
Analysis:
If 1 u = 1.66 x 10^-24, then 54 u = 54 x 1.66 x 10^-24 = 89.64 x 10^-24
#SPJ1
