Answer:
∠1 = 66°
Step-by-step explanation:
∠1 + ∠3 = ∠4 (exterior angle theorem)
∠1 + 57° = 123°
∠1 = 66°
Hundredths is the second digit after the decimal point, so the 2
the number next to it (1) is less than 5, so the number is rounded down to 3.72
Answer:
57 days
Step-by-step explanation:
Given that:
t(0) = 26000
Growth rate (S'(t)) = 80t^1/2
Targeted number of subscribers = 49000
Take the integral of the growth rate :
∫80t^1/2dt = [(80t^(1/2 + 1)) / 1/2 + 1] + C
[(80t^(1/2 + 1)) / 1/2 + 1] + C = (80t^3/2) / 3/2 + C
(80t^3/2) * 3/2 + C = (160/3)t^3/2 + C
(160/3)t^3/2 + C
Let C = t(0)
(160/3)t^3/2 + 26000 = 49000
(160/3)t^3/2 = 49000 - 26000
(160/3)t^3/2 = 23000
Multiply both sides by 3/160
t^3/2 = 23000* 3/160
t^3/2 = 69000/160
t^3/2 = 431.25
t^(3/2 * 2/3) = 431.25^2/3
t = 57.080277
t = 57 days (approx.)
Line II
2x+3y=-5
3y=-2x-5
y=

Gradient m=

Gradient of line I will be;

m=

Equation of line I;
y=mx+c
y=

Finding value of c by replacing for;
y=1
x=-6
1=

c=10
y=
Answer:
x-intercept (-8,0)
y-intercept (0,6)
Step-by-step explanation:
the x-intercepts is when y=0

so it's (-8,0)
the y-intercept is when x=0

si it's (0,6)