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REY [17]
3 years ago
13

How do the absolute values of -8 1/2 and -9 1/2 compare? Choose a symbol

Mathematics
1 answer:
Cloud [144]3 years ago
4 0

Answer: its <

Step-by-step explanation:

You might be interested in
Which sequence is modeled by the graph below?
mariarad [96]

Answer:

a_n=27\left(\dfrac{1}{3}\right)^{n-1}

Step-by-step explanation:

From inspection of the graph, the given points are:

  • (2, 9)
  • (3, 3)
  • (4, 1)

If we draw a line through the given points, the line is a curve rather than a straight line. If the line was a straight line, the graph would be modeled as an arithmetic sequence. Therefore, as the line is a curve, the given points are modeling a geometric sequence.

<u>General form</u> of a geometric sequence:

 a_n=ar^{n-1}

where:

  • a is the first term
  • r is the common ratio
  • a_n is the nth term

Rewrite the given points as terms of the sequence:

  • (2, 9)  ⇒  a₂ = 9
  • (3, 3)  ⇒  a₃ = 3
  • (4, 1)  ⇒  a₄ = 1

To find the common ratio r, divide consecutive terms:

\implies r=\dfrac{a_3}{a_2}=\dfrac{3}{9}=\dfrac{1}{3}

Calculate the first term (a) by substituting the found value of r and the given values of one of the terms into the formula:

\implies a_2=9

\implies a\left(\dfrac{1}{3}\right)^{2-1}=9

\implies \dfrac{1}{3}a=9

\implies a=27

Substitute the found values of r and a into the general formula to create the sequence modeled by the graph:

a_n=27\left(\dfrac{1}{3}\right)^{n-1}

Learn more about geometric sequences here:

brainly.com/question/25398220

brainly.com/question/27783194

5 0
1 year ago
Read 2 more answers
Original price of a printer: $250.00<br> Tax: 10%, Selling Price?
umka21 [38]

Answer:

selling price would be $275.

5 0
3 years ago
Read 2 more answers
Nth term to 4 1 -2 -5 -8
AURORKA [14]

4

4 - 3 = 1

1 - 3 = -2

-2 - 3 = -5

-5 - 3 = -8

It's the arithmetic sequence.

a_n=a_1+(n-1)d

a_1=4,\ d=-3

substitute

a_n=4+(n-1)(-3)=4-3n+3=-3n+7

Answer: a_n=-3n+7


7 0
2 years ago
Miss Lianto mowed 2/7 of her lawn. Her son mowed 1/4 of it. Who mowed most of the lawn? How much of the lawn still needs to be m
Nuetrik [128]

Answer: 2/7 = 8/28

1/4 = 7/28

Therefore Mr Pham mowed more.

8+7 = 15 so 15/28 of lawn has been mowed, therefore 13/28 of the lawn is left still to be mowed.

Mr. Pham mowed more of the lawn than his son.

it still needs ¹³/₂₈ of the lawn to be mowed.

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
HELP ME THIS MY LAST QUESTION PLEASE!!!!!!!!!!!!!!!!!!!!!!!
krok68 [10]

Answer: c

Step-by-step explanation:

7 0
3 years ago
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