Answer:
Option A is correct.
Step-by-step explanation:
We are given:
We need to find the value of a.
The LCM of (2+i) and (3+i) is (2+i)(3+i)
Now rationalize the denominator by multiplying by 5-5i/5-5i
We are given
Now after solving we have:
So value of a = 1/10 and value of b = -1/10
So, Option A is correct.
Answer:
1539
Step-by-step explanation:
We solve the above question using the Exponential decay formula
= A(t) = Ao(1 - r) ^t
Ao = Initial Amount invested = 7600
r = Decay rate = 55% = 0.54
t = time in weeks = 2
Hence:
A(t) = 7600(1 - 0.55)²
A(t) = 7600 × (0.45)²
A(t) = 1539
Therefore, the value of the quantity after 2 weeks is 1539
Answer:
Quadrant 2, x-axis
Step-by-step explanation:
Point C is on top left side of the x-y graph, which is quadrant 2.
An axis refers to line, so the x axis the is horizonal line, as it says on the right end of it. The y axis is the vertical line, noted at the top of the line.
The only line that's on a line is point D and it's on the x-axis.
Answer:
The answer is C.
Step-by-step explanation:
Given formula h(t)=−16t2+v0t+h0 , where v0 is the initial velocity and h0 is the initial height.
In this case, the initial postion is a platform 30ft above ground so h0=+30
The initial velocity is 38 ft/s straight up into the air so v0=+38
h(t)=-16t2+38t+30
When the object hits the ground, h=0.
h=-16t2+38t+30=0
Simplifying 8t2-19t-15=0
(8t+5)(t-3)=0
t=-5/8 or 3
As time cannot be -ve, t=3s. The answer is C.
Answer:
m = 6
Step-by-step explanation:
