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3 years ago

-1 + 0 + 1 + ... + 12

Mathematics

1 answer:

larisa86 [58]3 years ago

3 0

Answer:

Step-by-step explanation:

-1 + 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 = 77

Hope this helps :)

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Find the equation of an exponential function in the form y = ab^x, given the points (0, 3) and (2, 108/25). Please simplify your

lilavasa [31]

We have the equation:

$y=a\cdot b^x$

We know two points and we will use them to calculate the parameters a and b.

The point (0,3) will let us know a, as b^0=1.

$\begin{gathered} y=a\cdot b^x \\ 3=a\cdot b^0=a \\ a=3 \end{gathered}$

Now, we use the point (2, 108/25) to calcualte b:

$\begin{gathered} y=3\cdot b^x \\ \frac{108}{25}=3\cdot b^2 \\ 3\cdot b^2=\frac{108}{25} \\ b^2=\frac{108}{25\cdot3}=\frac{108}{3}\cdot\frac{1}{25}=\frac{36}{25} \\ b=\sqrt[]{\frac{36}{25}} \\ b=\frac{\sqrt[]{36}}{\sqrt[]{25}} \\ b=\frac{6}{5} \end{gathered}$

Then, we can write the equation as:

$y=3\cdot(\frac{6}{5})^x$

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1 year ago

Statistics endeavors to: Choose one • 10 points a. Calculate means b. Make correlations c. To be used by experts d. All of the a

Daniel [21]

Answer:

d. All of the above

Step-by-step explanation:

a. Statistics provides the tool to measure the central tendency of a given data. One of such measure is the statistical mean popularly referred to as the mean.

b. The correlation between variables can be determined by the use of statistical tools. correlation is the degree to linearity between variables,

c. Experts in different fields from Accounting to Zoology make use of statistics in their analysis.

From the above analysis, it can be safely concluded that all of the above (i.e. option d.) is correct.

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3 years ago

Which expression is equivalent to log3 c/9?

stepladder [879]

Hello!

There is an existing logarithmic property that states that $log \frac{M}{N}$ is equal to $log M-logN$ .

Following that property, we can tell that $log \frac{c}{9}$ would be equal to $log(c)-log(9)$ .

ANSWER: $log(c)-log(9)$ (third option)

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3 years ago

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3 years ago

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Svetach [21]

Answer:

The slope of the line is 4, and the y-intercept is -6.