Find the area of a polygon with the vertices of A (0,1) B (0,5) C (4,5) D (6,1

Answers

Answer 1

Answer: your area is 25 square units

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in a geometric series t1=23,t3=92 and the sum of all of the terms of the series is 62813. How many terms are in the series

Answers

$t_1=23,\ \ \ t_3=92\n\nthe\ geometric\ series\ \ \ \Rightarrow\ \ \ t_3=t_1\cdot q^2;\ \ \ q- the\ quotient \n\n92=23\cdot q^2\ /:23 \ \ \Rightarrow\ \ \ q^2= 4\ \ \ \Leftrightarrow\ \ \ (q=2\ \ \ or\ \ \ q=-2)\n\nSum\nS_n=t_1\cdot \frac{\big{1-q^n}}{\big{1-q}} \ \ \ \Rightarrow\ \ \ 62813=23\cdot \frac{\big{1-q^n}}{\big{1-q}} \ /:23 \ \ \ \Rightarrow\ \ \2731= \frac{\big{1-q^n}}{\big{1-q}} \n\n$

$1)\ \ \ q=2\n\Rightarrow\ \ \ 2731= \frac{\big{1-2^n}}{\big{1-2}} \ \ \ \Rightarrow\ \ \ 2731=2^n-1\ \ \ \ \Rightarrow\ \ \ 2^n=2732\n\n\Rightarrow\ \ \ n=log_22732\ \notin\ Natural\n\n$

$2)\ \ q=-2\ \ \ \ \Rightarrow\ \ \ 2731= \frac{\big{1-(-2)^n}}{\big{1-(-2)}} \ \ \ \Rightarrow\ \ 2731=\frac{\big{1-(-2)^n}}{\big{3}}\ /\cdot3 \n\n\ \ \ \Rightarrow\ \ \ 8193=1-(-2)^n\ \ \ \Rightarrow\ \ \ (-2)^n=-8192\ \ \ (\Leftrightarrow\ \ \ n-odd\ number)\n\n\ \Rightarrow \ \ \ (-2)^n=(-2)^(13)\ \ \ \Leftrightarrow\ \ \ n=13\n\nAns.\ In\ the\ geometric\ series\ are\ 13\ terms.$

Choose one card value and its additive inverse. Choose from the list below to write a real-world story problem that would model their sum.a. Elevation: above and below sea level
b. Money: credits and debits, deposits and withdrawals
c. Temperature: above and below 0 degrees
d. Football: loss and gain of yard

Answers

Answer:

http://www.westbranch.k12.oh.us/userfiles/185/Classes/50613/module%202%20lesson%201%20homework.pdf?id=119764

Step-by-step explanation:

this is a link, but its not showing up as one, so just copy and paste that into ur search bar

What number is 3 less than half the sum of 8 and 12?

Answers

Answer:

2,1,0

Step-by-step explanation:

8 x 12 = 96

96:2 = 48

48-3= 45

answer: 45

What is the best estimate for the sum of 3/8 and 1/12

Answers

3/8 + 1/12 = 11/24

Just add straight across

rocco wants to use the rest of the money in his savings account ($192) to buy a set of golf irons that has an original price of $350. does rocco have enough money to buy the golf irons? explain.

Answers

if the golf irons are on sale for less than $192 then yes he does but obviously if the irons aren't on sale then no Rocco does not have enough money tho but them.

Final answer:

Rocco does not have enough money to buy the golf irons because the difference between the original price and the money in his savings account is $158.

Explanation:

To determine if Rocco has enough money to buy the golf irons, we need to find the difference between the original price and the money in his savings account.

Difference = Original Price - Money in Savings Account

Difference = $350 - $192

Difference = $158

Rocco does not have enough money to buy the golf irons because the difference between the original price and the money in his savings account is $158.

Learn more about Rocco's savings account here:

brainly.com/question/31617073

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How are negative exponents and positive exponents related

Answers

they are both exponents

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