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2 years ago

Please explain how you got the answer

Mathematics

2 answers:

FromTheMoon [43]2 years ago

3 0

Answer:

52.5

Step-by-step explanation:

Find inner square (7 * 7 = 49), then find outer triangles (.5*7=3.5 for both) then u get 52.5 plz mark 5 str, helpfull, and brainliest!

andrezito [222]2 years ago

3 0

Easy juss multiply all numbers

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Beatrice spent a total of $54 at

Snezhnost [94]

Answer

C. .20 or 20%

Explanation

The table is

2 drinks $4.50

Entree $13.50

Entree $16.00

2 desserts $11.00

Total $45.00

9/45=20%

6 0

2 years ago

Read 2 more answers

Determine formula of the nth term 2, 6, 12 20 30,42

nalin [4]

Check the forward differences of the sequence.

If $\{a_n\} = \{2,6,12,20,30,42,\ldots\}$ , then let $\{b_n\}$ be the sequence of first-order differences of $\{a_n\}$ . That is, for n ≥ 1,

$b_n = a_{n+1} - a_n$

so that $\{b_n\} = \{4, 6, 8, 10, 12, \ldots\}$ .

Let $\{c_n\}$ be the sequence of differences of $\{b_n\}$ ,

$c_n = b_{n+1} - b_n$

and we see that this is a constant sequence, $\{c_n\} = \{2, 2, 2, 2, \ldots\}$ . In other words, $\{b_n\}$ is an arithmetic sequence with common difference between terms of 2. That is,

$2 = b_{n+1} - b_n \implies b_{n+1} = b_n + 2$

and we can solve for $b_n$ in terms of $b_1=4$ :

$b_{n+1} = b_n + 2$

$b_{n+1} = (b_{n-1}+2) + 2 = b_{n-1} + 2\times2$

$b_{n+1} = (b_{n-2}+2) + 2\times2 = b_{n-2} + 3\times2$

and so on down to

$b_{n+1} = b_1 + 2n \implies b_{n+1} = 2n + 4 \implies b_n = 2(n-1)+4 = 2(n + 1)$

We solve for $a_n$ in the same way.

$2(n+1) = a_{n+1} - a_n \implies a_{n+1} = a_n + 2(n + 1)$

Then

$a_{n+1} = (a_{n-1} + 2n) + 2(n+1) \\ ~~~~~~~= a_{n-1} + 2 ((n+1) + n)$

$a_{n+1} = (a_{n-2} + 2(n-1)) + 2((n+1)+n) \\ ~~~~~~~ = a_{n-2} + 2 ((n+1) + n + (n-1))$

$a_{n+1} = (a_{n-3} + 2(n-2)) + 2((n+1)+n+(n-1)) \\ ~~~~~~~= a_{n-3} + 2 ((n+1) + n + (n-1) + (n-2))$

and so on down to

$a_{n+1} = a_1 + 2 \displaystyle \sum_{k=2}^{n+1} k = 2 + 2 \times \frac{n(n+3)}2$

$\implies a_{n+1} = n^2 + 3n + 2 \implies \boxed{a_n = n^2 + n}$

6 0

2 years ago

HELP ASAP WILL PUT FIRST AS 5 STAR, THANK YOU AND ALSO A BRAINLEIST!!<br><br><br><br>

kifflom [539]

Answer:

17. 13 miles : 1 hour

19. 12 saved : 1 week

21. $0.47 : 1 pound

23. $1.33 : 1 gallon

Step-by-step explanation:

Your goal is to make the second numbers, "1." So divide the first numbers by the second number to simplify.

Ex: 104 ÷ 8 = 13 Therefore, 13 miles per 1 hour (13 miles : 1 hour)

3 0

2 years ago

A rectangular vegetable garden will have a width that is 4 feet less than the length and an area of 140 square feet if x represe

k0ka [10]

X times parentheses x minus 4 equals 140

5 0

2 years ago

How can you choose values for x when making a table of values representing a real world situation?

liq [111]

You'll see how to set up a table, choose appropriate x-values, plug those values into the equation.

6 0

3 years ago