Answer:
16
Step-by-step explanation:
1. Use a vertical number line to count how many spaces are between -6 and 10.
Answer:
c = 96°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
c is an exterior angle, thus
c = 50° + 46° = 96°
The equation of a hyperbola is
/9 -
/4 = 1
What are the steps to Hyperbola equation ?
To find the equation of hyperbola, the following steps must be taken. You need to identify;
- The coordinate of the center
- The coordinate of the vertices
- The coordinate of the foci
The general equation of a hyperbola can be expressed as
/
-
/
= 1
From the graph, we have the following parameters
a = 3
=
= 9
b = 2
=
= 4
The equation of a hyperbola can be expressed as
/9 -
/4 = 1
The vertices = V(+/-a,0) = (+/-3,0)
The center = C(0,0)
The focus = F(+/-C, 0)
Where
=
+ 
C = 
C = 
Focus = F(+/-
, 0)
The general equation for asymptote = +/- b/a X
= +/-2/3X
Therefore, the equation of a hyperbola can be expressed as
/9 -
/4 = 1
Learn more about hyperbola here: brainly.com/question/3405939
#SPJ1
Firstly you can do 8 x 41 = 328.
Then 6 x 19 = 114,
114 + 328 = 442^2.
Hope this helps.
1) To calculate maximum of f(t) function we first need to find derivative of it:
f(t)' = 10(e^(-t/8) + t*e^(-t/8)*(-1/8)) = 10(e^(-t/8) -t/8*e^(-t/8)) = 10e^(-t/8)(1-t/8)
the condition is:
f(t)' = 0 that means:
0 = 10e^(-t/8)(1-t/8)
10t/8*e*(-t/8) = 10*e^(-t/8)
t/8 = 1
t = 8
The answer is 8 days.
2) that percent we will get simply by expressing t=8 in our equation.
f(8) = 10*8*e^(-1) = 80/e = 29.43%