Answer:
Step-by-step explanation:
We have been given that an arrow is shot straight up from a cliff 58.8 meters above the ground with an initial velocity of 49 meters per second. Let up be the positive direction. Because gravity is the force pulling the arrow down, the initial acceleration of the arrow is −9.8 meters per second squared.
We know that equation of an object's height t seconds after the launch is in form 
, where
g = Force of gravity,
= Initial velocity,
= Initial height.
For our given scenario 
, 
and 
. Upon substituting these values in object's height function, we will get:
Therefore, the function for the height of the arrow would be .
Answer: y=12 x=28
Explanation:
x=Amount of Small Lanterns y=Amount of Large Lanterns
25x+40y=1180
x+y=40
x=40-y
25(40-y)+40y=1180
1000-25y+40y=1180
1000+15y=1180
15y=180
y=12
x+12=40
x=28
Answer:
Ethan rollerbladed each day 
kilometers.
Step-by-step explanation:
Given:
Ethan rollerbladed a total of 623 km over d days.
Now, to find the kilometers Ethan rollerblade each day.
Total number of distance rollerbladed = 623 km.
Total number of days = 
<u><em>As, Ethan rollerbladed each day the same distance.</em></u>
Now, to get the distance Ethan rollerbladed in each day we divide total number of distance rollerbladed by total number of days:
Therefore, Ethan rollerbladed each day kilometers.
Answer:
The logistic function representation and logic representation for the logistic regression model are equivalent.
Step-by-step explanation:
Y(X)=e ^(B 0 +B 1)/ (1+e^( B 0 +B1x)) .... 4.2
P(x)/(1−P(x))=e^( B 0 +B 1x) .... 4.3
Let
Y(X)=e^ (B 0 +B1x)
1/p(X)=1+e^( B 0 +B1x)
P(x)=Y(x)/(1+Y(x))
P(x)(1+Y(x))=Y(x)
Expanding;
P(x)+P(x)Y(x)=Y(x)
P(x)=Y(x)−P(x)Y(x)
P(x)=Y(x)(1−P(x))
P(x)/(1−P(x)) =Y(x)
P(x)/(1−P(x))=e^( B 0 +B 1x)
