Answer:
r = 8
Step-by-step explanation:
Given that M is directly proportional to r² then the equation relating them is
M = kr² ← k is the constant of proportionality
To find k use the condition when r = 2 , M = 14
k = =
=
M = r² ← equation of proportion
When M = 224, then
224 =r² ← multiply both sides by 2
7r² = 448 ( divide both sides by 7 )
r² = 64 ( take the square root of both sides )
r = = 8
have wonderful day
Answer: 19.82 months
Step-by-step explanation:
Usually in regression analysis candidates are provided with data and they are asked to determine the equation of the line of regression. This is not the case here. The question is pretty much straight forward.
Provided the line equation:-
This shows the that the predicted size of the male crab will be 19.82 cm when the crab is 22.1725 months old.
Complete Question:
The profile of a dam is modeled by the equation y = 24 (StartFraction x Over 10 EndFraction) squared, where x represents horizontal distance and y represents height, both in meters.
Point Z is at a horizontal distance of 15 meters from the left-most point of the dam. What is the height of the dam at point Z?
Answer:
The height is 36 meters
Step-by-step explanation:
Given
Required
The interpretation of the question is to determine the value of y when x = 15
Substitute 15 for x in:
<em>The height is 36 meters</em>