Answer:
=√18 or 4.24264068712
Step-by-step explanation:
used the distance formula
Answer:
x+y=2
Step-by-step explanation:
Standard Form: ax+by=c
For most convenience start with slope-intercept form: y=mx+b
1. -1 = -1(3)+b - solve for b
b=2
y= -1x+2 (slope-intercept form)
2. Now convert to standard form
Add 1x to both sides:
1x+y=2
Answer:
45.4°
Step-by-step explanation:
The angle and side lengths in a right triangle are related by ...
Sin = Opposite/Hypotenuse
sin(S) = TU/TS = 3.7/5.2
Using the inverse sine function, we have ...
∠S = arcsin(3.7/52)
∠S ≈ 45.4°
Answer:
14 days
Step-by-step explanation:
The half life of a substance is the time required until the object has only half of the inicial mass.
So, to find the inicial mass of the object, we use t = 0 in the equation A(t):
A(0) = 600*e^0 = 600
Half of this mass is 300, so we can use A(t) = 300 and then find the time:
300 = 600e^-0.05t
e^-0.05t = 0.5
ln(e^-0.05t) = ln(0.5)
-0.05t = -0.6931
t = 13.862 days
Rounding to nearest day, we have that t = 14 days
