Log(4k - 5) = log(2k - 1)
log(4k) - log(5) = log(2k) - log(1)
0.6020599913k - 0.6989700043 = 0.3010299957k - 0
0.6020599913k - 0.6989700043 = 0.3010299957k
<u>-0.6020599913k -0.6020599913k</u>
<u>-0.6989700043</u> = <u>-0.3010299957k</u>
-0.3010299957 -0.3010299957
2.321928094 = k
Answer:
D. The system is in echelon form.
Step-by-step explanation:
Check attachment
Answer:
B. 1/2
Step-by-step explanation:

If we plug in 0 for z, we get 0/0. Apply l'Hopital's rule.

Now when we plug in 0 for z, we get:

Solving #19
<u>Take y-values from the graph</u>
- a) (g·f)(-1) = g(f(-1)) = g(1) = 4
- b) (g·f)(6) = g(f(6)) = g(2) = 2
- c) (f·g)(6) = f(g(6)) = f(5) = 1
- d) (f·g)(4) = f(g(4)) = f(2) = -2
Answer:
89.1° or -1.4°
Step-by-step explanation:
1. Location:
You are on the Mont-Saint-Jean escarpment, near the Belgian town of Waterloo.
The French troops are about 50 m below you and 1.2 km distant.
2. Finding the firing angle
Data:
R = 1200 m
u = 600 m/s
h = -50 m (the height of the target)
a = 9.8 m/s²
We have two conditions.
Horizontal distance
(1) 1200 = 600t cosθ
Vertical distance
(2) -50 = 600t sinθ - 4.9t²
Divide each side of (1) by 600cosθ.

Substitute (3) into (2)

Recall that
(5) sec²θ = 1/cos²θ = tan²θ + 1
Substitute (5) into (4)

Set up a quadratic equation

Solve for θ
Use the quadratic formula.
tanθ = 61.249 or -0.025
θ = arctan(61.249) = 89.1° or
θ = arctan(-0.025) = -1.4°