#1) 4.445 ft
#2) yes
Explanation
#1) The maximum height is the y-coordinate of the vertex. We first find the axis of symmetry, given by x=-b/2a:
x=-0.17/2(-0.005) = -0.17/-0.01 = 17
Plugging this into the equation,
y=-0.005(17²)+0.17(17)+3 = 4.445
#2) Substituting 30 into the equation,
y=-0.005(30²) + 0.17(30) + 3 = 3.6
The ball will 3.6 in the air, so yes, it will clear the 3 ft tall net.
Answer:
m = 2 and b = -8.
Step-by-step explanation:
One of the most commonly used equations of straight lines is y = mx + b, where m is the slope and b is the y-intercept.
Comparing the given y = 2x - 8 to y = mx + b, we see that m = 2 and b = -8.
Answer:
the numerical value of the correlation between percent of classes attended and grade index is r = 0.4
Step-by-step explanation:
Given the data in the question;
we know that;
the coefficient of determination is r²
while the correlation coefficient is defined as r = √(r²)
The coefficient of determination tells us the percentage of the variation in y by the corresponding variation in x.
Now, given that class attendance explained 16% of the variation in grade index among the students.
so
coefficient of determination is r² = 16%
The correlation coefficient between percent of classes attended and grade index will be;
r = √(r²)
r = √( 16% )
r = √( 0.16 )
r = 0.4
Therefore, the numerical value of the correlation between percent of classes attended and grade index is r = 0.4
Answer:
x-y=4
Step-by-step explanation:
(y+4)/(1+4) = x/5
(y+4)/5 = x/5
y+4 = x
-x+y= -4
x-y = 4
If 8 apples cost $ 4, then (4/8) = 1/2 (or 0.50)....so each apple is 0.50 (or 50 cents)
so if u want 9 apples, u will have to pay : 9 * 0.50 = $ 4.50 <=
