$\bf \begin{array}{cll} \stackrel{ordinal}{position}&\stackrel{term}{value}\\ \cline{1-2} 1&12\\ 2&12+d\\ 3&12+d+d\\ 4&12+d+d+d\\ &12+3d \end{array}\qquad \implies ~\hfill \begin{array}{llll} \stackrel{\textit{4th term}}{12+3d}~~=~~\stackrel{\textit{4th value}}{3}\\\\ 3d=-9\implies d = \cfrac{-9}{3}\\\\ \stackrel{\textit{common difference}}{d = -3} \end{array}$

well, we know the common difference is -3, to go from the 4th term to the 8th term, we need to add "d" 4 times or namely 3+4(-3), likewise to go from the 13th term to the 19th term we have to add "d" 6 times, or namely -24 + 6(-3).

$\bf \stackrel{\textit{8th term}}{3+4(-3)}\implies 3-12\implies -9 \\\\\\ \stackrel{\textit{19th term}}{-24 + 6(-3)}\implies -24-18\implies -42$

3 0

3 years ago

The population of Preston is 89,000 and is decreasing by 1.8% each year. Write a formula that models the population as a functio

Fiesta28 [93]

Answer:

$P=89,000e^{-.018t}$

Step-by-step explanation:

I used this equation formula and just input the numbers given:

$P=P_{o}e^{rt}$

Where

P= final population

$P_{o}$ = original population

r = rate of growth

t = time

Hope this helps!

6 0

3 years ago

Are the fractions 1/5 , 5/5 , and 5/1 equivalent?Explain.

NeX [460]

Answer:
They are not equal

Explanation:
Let's take a look at each one of them separately:
 $\frac{1}{5}$ : This fraction is in the simplest form. It is equivalent to 0.2
The fraction is formed by dividing one part over five

 $\frac{5}{5}$ : This fraction is not in the simplest form. We can divide 5 by 5 and the answer would be 1. Therefore, $\frac{5}{5}$ is equivalent to 1

 $\frac{5}{1}$ : This fraction is not in the simplest form. We can divide 5 by 1 and the answer would be 5. Therefore, $\frac{5}{1}$ is equivalent to 5.

Based on the above, we can cnfirm that 0.2 , 1 and 5 are not equivalent.
Therefore, the given fractions are not equivalent

Hope this helps :)

5 0

3 years ago

Help Please, Look at the photo below!!

hjlf

Answer:

a reflection across a horizonal line following by a 180 clockwise

Step-by-step explanation:

3 0

3 years ago

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