The National Oceanic and Atmospheric Administration tracks the amount of oysters harvested from the Chesapeake Bay each year:

Mathematics

1 answer:

Alexandra [31]3 years ago

6 0

The EXPONENTIAL REGRESSION equation obtained by fitting the data is $y = 58.031(0.964)^x$

To obtain the exponential regression equation which models the data, we could use technology, we involves Inputting the data into an EXPONENTIAL REGRESSION CALCULATOR or EXCEL

Using an exponential regression calculator :

The regression equation obtained is :

$y = 58.031(0.964)^x$

The general function of an exponential regression function is : $AB^x$

A = 58.031 = Initial value ; B = Decay factor

Hence, the EXPONENTIAL REGRESSION EQUATION obtained using technology is : $y = 58.031(0.964)^x$

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What is the common factors of 12 and 42 also 63 and 84

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$12|2 \\ 6 \ |2 \\ 3 \ |3 \\ 1 \\\\12=2^2*3 \\\\ 42|2\\21|3\\7\ |7\\1 \\\\42=2*3*7 \\\\ G.C.F(12;42)=2*3=6 \\\\\\\ 63|3 \\ 21|3 \\ 7 \ |7 \\ 1 \\\\ 63=3^2*7 \\\\ 84|2 \\ 42|2 \\ 21|3 \\ 7 \ |7 \\ 1 \\\\ 84=2^2*3*7 \\\\ G.C.F(63;84)=3*7=21$

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Read 2 more answers

Which of the following is NOT a rational number?

makvit [3.9K]

Answer:

A rational number is a number that can be expressed as a fraction (the ratio of two integers).

Integer: A whole number that can be positive, negative, or zero.

To calculate if each radical can be expressed as a rational number, convert the decimals into rational numbers, then simplify:

$\sqrt{121}=\sqrt{11^2}=11=\dfrac{11}{1} \quad \leftarrow \textsf{rational}$

$\sqrt{12.1}=\sqrt{\dfrac{1210}{100}}=\dfrac{\sqrt{1210}}{\sqrt{100}}=\dfrac{\sqrt{121\cdot 10}}{10}=\dfrac{\sqrt{121}\sqrt{10}}{10}=\dfrac{11\sqrt{10}}{10} \leftarrow \textsf{not rational}$

$\sqrt{1.21}=\sqrt{\dfrac{121}{100}}=\dfrac{\sqrt{121}}{\sqrt{100}}=\dfrac{\sqrt{11^2}}{\sqrt{10^2}}=\dfrac{11}{10} \leftarrow \textsf{rational}$

$\sqrt{0.0121}=\sqrt{\dfrac{121}{10000}}=\dfrac{\sqrt{121}}{\sqrt{10000}}=\dfrac{\sqrt{11^2}}{\sqrt{100^2}}=\dfrac{11}{100} \leftarrow \textsf{rational}$