Solution:
Reflect the parent function across the x-axis and then shift it 8 units left.
Step-by-step clarification:
The function in question is
The parent function can be described as
Due to the negative multiplier applied to the transformed function, a reflection occurs along the x-axis.
As the value 8 is added within the square root, it indicates a horizontal shift of 8 units left.
Therefore, to accurately graph the given function, reflect the parent function over the x-axis and translate it to the left by 8 units.
Answer:
The resulting value is 2.381
Step-by-step explanation:
Using the information presented in the question, we will calculate the evidence supporting the professor's hypothesis
Given that:
x₁ = 74,
n₁ = 36
s₁ = 8
x₂ = 68
n₂ = 36
s₂ = 10
The hypotheses can be outlined as:
The critical value is t₃₆+₃₆-₂,₀.₀₁ = t₇₀,₀.₀₁
thus,
t₃₆+₃₆-₂,₀.₀₁ = t₇₀,₀.₀ = 2.381
This implies a range of -2.381 to 2.381
Thus, we can support the professor's assertion.
Response:
The answer to the inquiry is 8 hours.
Step-by-step breakdown:
Information
Ladder length = 200 cm
Distance between rungs = 20 cm
Tide rise rate = 10 cm/h
Fifth rung =?
Procedure
1.- Determine the total height the tide must reach
Height = 20 cm x 4
= 80 cm as the first rung is touching the water.
2.- Calculate the time needed
Rate = distance / time
-Solve for time
Time = distance / rate
-Substitute values
Time = 80 cm / 10 cm/h
-Final outcome
Time = 8 hours.
