Answer:
B. (13/3 - 3i)
Step-by-step explanation:
Given: (3i - 2/3) - (6i - 5)
Here we have to subtract.
To simplify we have to combine real numbers and complex number(i.e) terms with "i"
= 3i - 2/3 -6i + 5 [distributed the negative sign inside the parenthesis]
= -2/3 + 5 + 3i - 6i[Combine real numbers and complex numbers]
= 13/3 - 3i
Therefore, the answer is B. (13/3 - 3i)
Hope this will helpful.
Thank you.
Answer:
The answer to the best prediction is 115.04
Step-by-step explanation:
We have to:
x = 102
They also tell us that:
y = 5.9 + 1.07 * x
If we replace we have:
y = 5.9 + 1.07 * (102)
y = 115.04
Therefore, the best predicted value of ModifyingAbove and with caret given that the older child has an IQ of 102 is 115.04
Answer:
∠EFH
Step-by-step explanation:
If AB and CD are parallel lines and EF is a transversal line, then angles formed on the same side of the transversal line and are exterior to the parallel lines are same side exterior angles.
Same side exterior angles theorem states that same-side exterior angles are supplementary.
From the image attached below:
∠ABC and ∠EFH are same side exterior angles, therefore:
∠ABC + ∠EFH = 180°
The given function is
f(x) = 4x - 3/2
where
f(x) = number of assignments completed
x = number of weeks required to complete the assignments
We want to find f⁻¹ (30) as an estimate of the number of weeks required to complete 30 assignments.
The procedure is as follows:
1. Set y = f(x)
y = 4x - 3/2
2. Exchange x and y
x = 4y - 3/2
3. Solve for y
4y = x + 3/2
y = (x +3/2)/4
4. Set y equal to f⁻¹ (x)
f⁻¹ (x) = (x + 3/2)/4
5. Find f⁻¹ (30)
f⁻¹ (30) = (30 + 3/2)/4 = 63/8 = 8 (approxmately)
Answer:
Pedro needs about 8 weeks to complete 30 assignments.
