MATHEMATICS MIDDLE SCHOOL

Find an explicit formula for the arithmetic sequence -45,-30,-15,0...

Answers

Answer 1

Answer:

Answer:

15(n-1)-45

Step-by-step explanation:

Increases by 15, so sequence is arithmetic, and goes to positive.

1st term is -45

so 15(n-1) gives us first term.

Reply for any questions I got you

Answer 2

Answer:

$\bf -45~~,~~\stackrel{-45+15}{-30}~~,~~\stackrel{-30+15}{-15}~~,~~\stackrel{-15+15}{0}~\hspace{7em}\stackrel{\textit{common difference}}{d=15} \n\n[-0.35em] ~\dotfill\n\n n^(th)\textit{ term of an arithmetic sequence} \n\n a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^(th)\ term\n n=\textit{term position}\n a_1=\textit{first term}\n d=\textit{common difference}\n \cline{1-1} a_1=-45\n d=15 \end{cases} \n\n\n a_n=-45+(n-1)15\implies a_n=-45+15n-15\implies a_n=15n-60$

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Find the slope of (0,1) and (2,-3) with this equation

(Y2-Y1)/(X2-X1)

Answers

$\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{-3}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-3}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{0}}}\implies \cfrac{-4}{2}\implies -2$

Answer: -2

Step-by-step explanation:

-3-1=-4

2-0=2

-4/2=-2

What is 20 5/81 in simplest form

Answers

20 5/81 in its simplest form is 20 5/81.

20 5/81 originally looks like this ⇒ 1625/81

((20 * 81)+5)/81 = (1620+5)/81 = 1625/81 * this is an improper fraction because the numerator is greater than the denominator. Improper fractions must be converted to proper fractions. It will then become a mixed fraction.

0020 5/81
81 | 1625
162 * 81 x 2
05

the perimeter of rectangular shaped building is 960 ft. the shortest aide of the building is 150ft. what is the length of the one of the longest sides of the building

Answers

330 ft; 150 + 150 = 300; 960 - 300 = 660; 660 ÷ 2 = 330

What is the answer to 3/4 +1/3

Answers

Well, to add fractions, you need to find a common denominator. In this case, the smallest common denominator would be 12. So you must multiply each fraction so that both denominators are 12.
3/4*3/3=9/12
1/3*4/4=4/12
Add those two fractions together, reduce if possible, and you have your answer!
9/12+4/12=13/12
You can't reduce, so 13/12 is your answer.
Hope it helps!
-Lacy

What is the mode of the data represented in this line plot?
Enter your answer in the box

Answers

Answer: 2

Step-by-step explanation: The mode is the most frequent number in the set of data, and 2 was the most frequent.

Answer:

Step-by-step explanation:

La respuesta es la: 2

Porque la moda es el dato que más se frecuenta

In a class of 42 students the number of boys is 2/5 of the girls . find the number of boys and girls

Answers

in plain and short, we simply divide 42 by (2+5) and distribute accordingly.

$\bf \cfrac{boys}{girls}\qquad 2:5\qquad \cfrac{2\cdot (42)/(2+5)}{5\cdot (42)/(2+5)}\implies \cfrac{2\cdot 6}{5\cdot 6}\implies \cfrac{12}{30}$

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