<h3>
Answer: 5</h3>
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Explanation:
Apply the difference of squares rule
x^2 - y^2 = (x-y)(x+y)
x^2 - y^2 = (5)(1)
x^2 - y^2 = 5
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Alternatively, you can solve the system
for x and y to get (x,y) = (3,-2).
Then compute x^2-y^2 = 3^2-(-2)^2 = 9-4 = 5
Step-by-step explanation:
16 data points.
the mean value is the sum of all data points divided by the number of data points :
13896/16 = 868.5
the median is the data point with half of the other data points being smaller and the other half being bigger.
as we have an even number of data points, we need to apply the extra rule :
the median is the mean value between the 2 middle points (where one half of the other data points is smaller than these 2, and the other half is bigger than these 2).
in our case we have 138 and 240.
the mean value between these 2 and therefore the median of the list is
(138 + 240)/2 = 378/2 = 189
Answer:
Exponential decay
Step-by-step explanation:
We are given that
y=20 when t=0
Taking integration on both sides then we get
Using formula 
Using formula
Substitute y=20 and t=0
Substitute the value of C
When t tends to infinity then
When time increases then the value of function decrease
Hence, the function is exponential decay.
Answer:
The expression becomes 3(x+5) = 3x+15
Assuming the bases are laid out in a square, then we can use the Pythagorean Theorem to find the distance from home plate to second base.
This distance is exactly the length of the hypotenuse of the right triangle that forms when you split the square along the diagonal. Let this distance be x
Each of the legs are 90 ft, so a = 90 and b = 90. The hypotenuse is c = x for now.
a^2 + b^2 = c^2
90^2 + 90^2 = x^2
8100 + 8100 = x^2
16200 = x^2
x^2 = 16200
sqrt(x^2) = sqrt(16200) ... apply the square root to both sides
x = 127.2792206
x = 127.3 .... round to the nearest tenth (one decimal place)
The final answer is 127.3 feet
