Answer:
i = -7/12
Step-by-step explanation:
(-3/4 + 4/3) + i = 0
(-9/12 + 16/12) + i = 0
7/12 + i = 0
i = -7/12
Answer:
#1) A. 4; #2) A. periodic; about 6; #3) B. not periodic; #4) C. 2; 0.5; #5) A. 0.05 seconds; 4.5.
Explanation:
#1) The period of a function is essentially the amount of time it takes for the function to start all over and repeat itself. In this function, at t = 0 the graph is at 1; it curves up, back down and begins again at y=1 when t=4. This means the period goes from t=0 to t=4, so it is 4.
#2) Looking at the left side of the graph, specifically the peak at (-5, 2), we see the same peak at about (1, 2). Following the graph after that we can see that it does indeed repeat itself; this means the period goes from t= - 5 to t = 1, so it is 6.
#3) This function never repeats, so it is not periodic.
#4) This function repeats when it reaches t=2, so 2 is the period. The amplitude is the distance from the center line (of the graph, not the x-axis) to the peak. The center line would be located at about y=0.5; the peaks are at y=-1. This means the amplitude is 0.5.
#5) This function repeats every 0.05 seconds. In this case, the center line is the x-axis; the distance from it to any peak is 4.5, so 4.5 is the amplitude.
Answer:B
Step-by-step explanation: a factor of a number that is multiplied by itself
Answer:
Water is being pored in the cone with the rate of 401.92 cm³ per second.
Step-by-step explanation:
There is a cone having height h = 10 cm and radius r = 10 cm
That means h = r
Rate of change of water level 
cm per second
Since volume of a cone is represented by the formula,
Now we have to find the value of 
.
Since r = h
For h = 8 cm and cm per second.
= 401.92 cubic cm per second
Therefore, water is being pored with the rate of 401.92 cm³ per sec.
Answer:
(a) a ≈ 22.7 meters, (b) c ≈ 10.6 meters, (c) ∠A = 65°
Step-by-step explanation:
assuming side a/c is side BC/AB since it's opposite of angle A/C
(a) SOH CAH<em>(cos = </em><em>adjacent side/hypotenuse</em><em>)</em> TOA
=> cos (25°) = BC/AC or a/b
=> cos (25°) = a/25
=> a = cos (25°) × 25
=> a ≈ 22.7
(b) SOH<em>(sin = </em><em>opposite side/hypotenuse</em><em>)</em> CAH TOA
=> sin (25°) = AB/AC or c/b
=> sin (25°) = c/25
=> c = sin (25°) × 25
=> c ≈ 10.6
(c) 180° - 25° - 90°(the right angle) = 65°
