Yes, the planner has met the minimum height, as the minimum height was 9 feet and the maximum height of the arc is 9.6 feet
<h3>How to explain the information?</h3>
As we can see that at the mid value, for x=4, the value of f(x)=9.4
It means that the maximum height occurs at mid of the arc where it is height is 9.6 feet above the ground.
It means that the planner has met the minimum height, as the minimum height was 9 feet and the maximum height of arc is 9.6 feet
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Answer:
Step-by-step explanation:
1) d
2) c
1) 3 hearts, 7 other shapes that isn't hearts
2) 2 triangs, 5 circles
Answer:
Step-by-step explanation:
Given a curve defined by the function 2x²+3y²−4xy=36
The total differential of this function with respect to a variable x makes the function an implicit function because it contains two variables.
Differentiating both sides of the equation with respect to x we have:
4x+6ydy/dx-(4xd(y)/dx+{d(4x)/dx(y))} = 0
4x + 6ydy/dx -(4xdy/dx +4y) = 0
4x + 6ydy/dx - 4xdy/dx -4y = 0
Collecting like terms
4x-4y+6ydy/dx - 4xdy/dx = 0
4x-4y+(6y-4x)dy/dx = 0
4x-4y = -(6y-4x)dy/dx
4y-4x = (6y-4x)dy/dx
dy/dx = (4y-4x)/6y-4x
dy/dx = 2(2y-2x)/2(3y-2x)
dy/dx = 2y-2x/3y-2x proved!
X=number of boys in the club at first
y=number of girls in the club at first.
(x+y) = members were in the club at first.
We can suggest the next system of equation.
x/y=1/2 ⇒ x=y/2
(x+5)/y=3/4 ⇒4(x+5)=3y
Finally, we have the next system of equations:
x=y/2
4(x+5)=3y
We are going to solve by substitution method.
4(y/2 + 5)=3y
2y+20=3y
2y-3y=-20
-y=-20
y=20
x=y/2
x=20/2
x=10
(x+y)=10+20=30
Answer: There were 30 members int the club at first, they were 10 boys and 20 girls.
The correct question is
<span>Yuri computes the mean and standard deviation for the sample data set 12, 14, 9, and 21. he finds the mean is 14. his steps for finding the standard deviation are below. what is the first error he made in computing the standard deviation
</span>
see the picture in the attached figure N 1we know that
The formula for Sample Standard Deviation is indicated in the attached figure N2
in this problem
n=4 and Yuri had to divide in the formula by 3
therefore
the answer is Yuri divided by n instead of n -1