Answer: 24 ft
Step-by-step explanation:
By the Pythagorean theorem,

Answer:
f(x) has moved:
4 units in the positive y direction i.e upwards
3 units in the positive x direction
Step-by-step explanation:
to get g(x), f(x) has undergone the following transformations
f(x) = x³
f1(x) = x³ + 4 (translation of 4 units in the positive y direction i.e upwards)
f2(x) = g(x) = (x-3)³ + 4 (translation of 3 units in the positive x direction i.e towards the right)
25 a² + 20 ab + 4 b²
for formula

find u,v such that: u.v = a
and u+v = b then group according to

=

factor out 5a from :

factor out 2b from :

=

factor out :

=

Refine:

hope this helps!.
Answer:
1. a. Weak
2. r^2=0.0169
The variation in the price of the wine explained by the variation in the weight of the bottle is 1.69%.
Step-by-step explanation:
The correlation between the weight of the wine bottles and the price of the wine is r=0.13.
The values for r goes from r=-1, where a perfect negative correlation to r=1 for a perfect positive correlation. The value r=0 indicates no correlation at all.
Then, a value of r close to 0 indicates very weak correlation between the two variables.
The value for r^2 in this case is:

The value of r2 can be interpreted as the proportion of the variation in the dependant variable explained by the independent vairable. In this case, the variation in the price of the wine explained by the variation in the weight of the bottle is 1.69%, which is very close to 0.
X^-3 = 1/(x³)
............,.......