The exponential function that shows San Francisco area after x years is y = 49(0.98)ˣ
<h3>What is an
exponential function?</h3>
An exponential function is in the form:
y = abˣ
Where a is the initial value of y and b is the multiplication factor.
Let y represent the land area of San Francisco after x years. Hence:
The city is only about 49 square miles in area, a = 49. It is losing 2% yearly, hence b = 100% - 2% = 0.98
The equation becomes y = 49(0.98)ˣ
Find out more on exponential function at: brainly.com/question/12940982
The expression 5 hundred times 10 unit in standard form is 5000
<h3>How to express the number in standard form?</h3>
The number is given as:
5 hundred times 10 unit
Express hundred as 100.
So, we have:
5 hundred times 10 unit = 5 * 100 times 10 unit
Express unit as 1.
So, we have:
5 hundred times 10 unit = 5 * 100 times 10 * 1
Express times as *.
So, we have:
5 hundred times 10 unit = 5 * 100 * 10 * 1
Evaluate the products
5 hundred times 10 unit = 5000
Hence, 5 hundred times 10 unit in standard form is 5000
Read more about standard form at:
brainly.com/question/1708649
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Let
x-------------> length of the fence
y-------------> width of the fence
we know that
Area of rectangle=x*y
perimeter of rectangle=2x+2y
A=250 ft²
P=68 ft
then
250=x*y-----------> x=250/y equation 1
68=2x+2y-----------> equation 2
using a graph tool---------> to resolve the system of equations
see the attached figure
the solution is the point 1 (10.755,23.245) and the point 2 (23.245,10.755)
for the point 1
x=10.755 ft
y=23.245 ft
for the point 2
x=23.245 ft
y=10.755 ft
the answer is
<span>the dimensions of the fence are
23.245 ft x 10.755 ft
</span>or
10.755 ft x 23.245 ft