Answer:

Step-by-step explanation:
We are given that,
The fall of the acorn is represented by the function,

Equating S(t) to 0 gives,

i.e. 
i.e. 
i.e. 
Since, time cannot be negative.
So,
i.e. 1.25 seconds is the time when the acorn will reach the ground.
Thus, from the figure below, we see that,
The interval in which the acorn is in the moving air is
.
Answer:
Each hiker receives 7 ounces of trail mix
Step-by-step explanation:
Trail mix=quantity of peanuts+quantity of raisins+quantity of walnuts+quantity of chocolate chips
where;
Quantity of peanuts=1.25 pounds
Quantity of raisins=14 oz, since 1 pound=16 oz.
Quantity of raisins=(14/16)=0.875 pounds
Quantity of walnuts=12 oz=(12/16)=0.75 pounds
Quantity of chocolate chips=10 oz=(10/16)=0.625 pounds
Replacing;
Trail mix=(1.25+0.875+0.75+0.625)=3.5 pounds
Trail mix=Quantity per hiker×Number of hikers
where;
Trail mix=3.5 pounds
Quantity per hiker=q
Number of hikers=8
Replacing;
3.5=q×8
q=3.5/8=0.4375 pounds
I pound=16 ounces
q=0.4375×16=7 ounces
Each hiker receives 7 ounces of trail mix
Answer: 58, 122
Step-by-step explanation:

Answer:
Option (a)
Step-by-step explanation:
Slope of a line passing through two points
and
is given by,
Slope (m) = 
Slope of the line passing through (-4, 3) and (6, 3) will be,
m = 
m = 0
In other words, slope of any line parallel to x-axis is zero.
Therefore, Option (a) is the answer.