The amount that it rises each minute forms a geometric sequence...
a(n)=ar^(n-1), and we know that a=100 ft and r=1/2 so
a(n)=100(1/2)^(n-1)
And the sum of a geometric sequence is:
s(n)=a(1-r^n)/(1-r)
s(n)=100(1-0.5^n)/(1-0.5)
s(n)=200(1-0.5^n)
So we can call these sums the height function
h(t)=200(1-0.5^t)
So after 5 minutes...
h(5)=200(1-0.5^5)
h(5)=193.75 ft
QUESTION 12
The given figure has five unequal sides.
The perimeter is the distance around the figure.
So we add all the lengths of the sides of the rectangle to get,

We regroup the like terms to obtain,

This will simplify to give us,


QUESTION 13
The given figure has two pairs of sides that are equal in length and three unequal sides.
The perimeter can be found by adding all the lengths of the sides of the of the figure.
This will give us

We regroup like terms to obtain,

This finally simplifies to ,
.

QUESTION 14
This plane figure has four sides that are equal to 4j and two sides that are equal to 2h.
We add all the lengths of the sides of the plane figure to get,

This will simplify to give us,
Answer:
Step-by-step explanation:
Given that the number of males in the classroom is three more than twice the number of females.
the total number of students is 57
Let x be the no of males then no of females = 
Also we have 3 more than twice no of females as

This equals x

No of males = 39, no of females = 18
Answer: Mean=4.11
Median=4.44
Step-by-step explanation:
Using a graphing calculator, enter the values into the first list. Then run one-variable statistics on the list.
By hand, to find the mean, add together all of the values:
3.25+3.25+3.66+3.83+4.57+4.52+4.74+4.69+4.44 = 36.95
Divide by the total number of data points, 9:
36.95/9 = 4.11
To find the median, order the data from least to greatest:
3.25, 3.25, 3.66, 3.83, 4.44, 4.52, 4.57, 4.69, 4.74
The middle number is 4.44
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