If . he will use the wall of the garage as one side of the pen and will construct the rest of the rectangular pen from 28 yards of fencing. The maximum area that can be achieved for the dog pen is: 392 yards².
<h3>Maximum area </h3>
Let x represent the width of the fence
Let the two widths represent 2x
Let the length of one side represent 28-x
Let A represent Area
Hence,
A=x(28-x)
=-x²+28x
Using calculus or vertex = -b/2a,
x value = -28/-2
x = 14
2x = 28
So,
Maximum area= 14 ×28
Maximum area = 392 yards²
Therefore the maximum area is 392 yards².
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Answer:
y=4-0.5x
Step-by-step explanation:
Step one:
given data
Alina bought an ice cream cone for $3
the weight of the ice cream is 4 ounce
the rate of melting is 0.5 ounce per minute
let the number of minutes taken for the ice cream to melt be x
and the weight after x minutes be y
Step two:
Hence the expression for the situation after x minutes is
y=4-0.5x
Answer:
1/50
Step-by-step explanation:
Given that:
- Three men: 3
- Seven women = 7
- Total number of people: 7+3 =10
We need to find the probability that no man will be interviewed until at least two women have been interviewed. So there are two possible probabilities are:
1. One man and two women => P(1 man and 2 women) = 3/10*2/9 = 1/15
2. Three women => P(3 women) = 3/10
Hence, the probability in this situation is: 1/15*3/10 = 1/50
Answer:
I'm pretty sure your answer is going to be 12 3/20
Step-by-step explanation:
The <em><u>correct answer</u></em> is:
46.6 days
Explanation:
The general form for exponential growth is
, where A is the total amount, p is the initial amount, r is the percent of growth, and t is the amount of time (in this case, days).
We do not know the initial amount, the total amount, or the amount of time. We do know that r, the percent of growth, is 1.5%; 1.5% = 1.5/100 = 0.015:
We also know we want the total amount, A, to be twice that of the initial amount, p:
Divide both sides by p:
Using logarithms to solve this,
