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blsea [12.9K]
3 years ago
9

Find the 96th term of the arithmetic sequence -30, – 32, -34, ...

Mathematics
1 answer:
NeTakaya3 years ago
7 0
-220, The arithmetic sequence is an=a1+(n-1)d
a1-the first term
an-is the nth term
d-common difference between terms
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-x/3 - 2 less then or equal to 1
Reptile [31]

Answer:

\huge\boxed{x\geq-9}

Step-by-step explanation:

\dfrac{-x}{3}-2\leq1\qquad|\text{add 2 to both sides}\\\\\dfrac{-x}{3}-2+2\leq1+2\\\\\dfrac{-x}{3}\leq3\qquad|\text{multiply both sides by 3}\\\\3\!\!\!\!\diagup\cdot\dfrac{-x}{3\!\!\!\!\diagup}\leq3\cdot3\\\\-x\leq9\qquad|\text{change the signs}\\\\x\geq-9

4 0
3 years ago
In Isaac's closet, the ratio of short-sleeve to long-sleeve shirts is 5:2.
schepotkina [342]

Answer:

12 long sleeved

Step-by-step explanation:

30 / 5 = 6

6 x 2 = 12

6 0
3 years ago
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Debbie’s goal is to run 10 miles each week. To the nearest hundredth, how far off was Debbie from reaching her goal? Show your w
Basile [38]

Answer:

89.75%

Step-by-step explanation:

Add up all the days, and you'll get 8.975 divided this by 10 and you get .8975 Proceed to multiply this by 100 to get a percentage and the answer 89.75% is received.

3 0
3 years ago
What is negative 5 eights x 2 thirds? Pleassssse help meh!
Yuri [45]

Answer: -1/2

Step-by-step explanation:

-5/8 x 2/3

= -1/2

3 0
3 years ago
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Determine if the sequence below is arithmetic or geometric and determine the
algol13

9514 1404 393

Answer:

  r = 2

Step-by-step explanation:

The first differences between successive terms are ...

  10 -5 = 5

  20 -10 = 10

The differences are not constant, so the sequence is NOT arithmetic.

__

The ratios of successive terms are ...

  10/5 = 2

  20/10 = 2

The ratios are constant, so the sequence is ...

  geometric with a common ratio of 2.

4 0
3 years ago
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