30. Set up a proportion of 6/2 and x/10. cross multiply 6 times 10 and you get 60. divide 60 by 2=30
Tigers:-
f(t) = 7(1 + 0.1)^2 where t = number of years
Eagle
g(t) = 15 + 2t
B after ten year number tigers = f(t) = 7(1 + 0.1)^10 = 18
number of eagles = 15 + 10(2) = 35
C when the number of tigers = number eagles the 2 functions will be equal;-
f(t) = g(t) that is:-
7* 1.1^t = 15 + 2t
solve for t
The generic equation of the line is:
Where,
m: slope of the line
(T0, H0): ordered pair belonging to the line.
The slope of the line is:
Substituting values we have:
Rewriting:
Then, choosing an ordered pair we have:
Substituting values we have:
Rewriting the equation:
Then, for 8 hours we have:
Answer:
a linear equation to model the relationship between height H of the candle, and T time is:
the candle will be 12 inches after burning 8 hours
Answer:
y=4
Step-by-step explanation:
Answer:
11.33 * 16.33 meters to the nearest hundredth.
Step-by-step explanation:
Let the width of the pool be x meters, then the length is x+5 meters.
The length of whole area = x + 5 + 2(3) = x + 11 meters and the width is
x + 2(3) = x + 6 meters.
So we have the equation (x + 6)(x + 11) = 387.
x^2 + 17x + 66 = 387
x^2 + 17x - 321 = 0
x = [-17 +/- sqrt (17^2 - 4*1*-321)] / 2
x = 11.33 meters
So the width is 11.3 m and the length is 16.33 meters.
