Answer:
Step-by-step explanation:
Function representing the bacterial growth has been given as,
a). Here 1200 represents the initial number of bacteria taken for the study (1).
b). 1.8 represents the growth factor by which the population of the bacteria is multiplying.
c). Second study is modeled by the function given as,
Here, initial population of bacteria = 1000
Difference in 1200 and 1000 in two studies means → Second study was conducted on 1000 bacteria while in study (1) number of bacteria were 1200.
Something is wrong with your question, it must be 350 pounds.
So the approach for this question would be the use of unit analysis.
1 us dollar = 0.690 pounds
350 pounds * 1 dollar / 0.690 pounds= 507.24 dollars.
to check:507.24 dollars x 0.690 pounds / 1 dollars = 350 pounds
Answer:
The function g(x) simply takes the value x and turns it into its reciprocal value . Thus, for instance, the number 5 becomes , and becomes 2. Note that any value of x works in this function as long as is defined. As mentioned, fractions work as well as whole numbers, both for positive and negative values; the only value that does not work is 0, since is undefined (how many times can 0 go into 1?). Thus, the domain of the function is all x in where x ≠ 0. Let's look at the graph of the function also.
Step-by-step explanation:
The function f simply takes in input value x, multiplies it by 2, and then adds 3 to the result. We can therefore consider what constitutes the set of numbers that the function can accept as an input and what constitutes the set of numbers that the function can yield as an output.
Step-by-step explanation:
<u>Step 1: Find the drop boxes</u>
The first drop box, the leftmost, is 3 since we multiply it again by three to get nine. Therefore both the first and second drop boxes are 3.
Answer: Both 3
There is another way to do this problem which is cross multiply
Suppose the length of the fence perpendicular to the central partition is x. Then the total length of the fence (L) for enclosed area A is
.. L = 2x +3*A/x
The derivative of this with respect to x is
.. L' = 2 -3A/x²
L will be minimized when this is zero.
.. 0 = 2 -3A/x²
.. x² = 3A/2
.. x = √(3A/2)
For this value of x, the total length of fence is
.. L = 2√(3A/2) -3A/√(3A/2)
.. L = 4√(3A/2) = 2√(6A)
For this problem, A = 14,900 ft², so
.. L = 2√(6*14,900 ft²) ≈ 597.997 ft
The smallest length of fence required to fence the rectangular area is 598 ft.