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Aliun [14]
3 years ago
13

Find the nth term of 14,23,32,41

Mathematics
1 answer:
german3 years ago
8 0

\\$Let a_n$ be the following sequence: 14, 23, 32, 41, ...\\a_1 = 14 \ \ \ a_2 = 23 \ \ \ a_3 = 32 \ \ \ a_4 = 41\\$Observe that $ a_2 - a_1 = a_3 - a_2 = a_4 - a_3 = 9 =>$ a_n - $Arithmetic progression$=> a_n = 14 + 9(n-1)

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miv72 [106K]

Answer:

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2 years ago
Jaquin would like to install a rug in her square living room. Her living room has an area of 121 square feet. What should the si
Amanda [17]

Answer:

11 feet

Step-by-step explanation:

All the sides of a square are equal

the area of a square = length²

121 ft² = length²

to determine the length find the square root of the area, 121

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What names does the square root of 35 fit into? (whole number, not real, real, irrational, rational, intergers, etc.)
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Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE
zhannawk [14.2K]
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3 0
3 years ago
Natalie picks 40 bushels in 12 hours and Mary can pick the same amount in 11 hours. how long would it take if they worked togeth
rosijanka [135]

Answer: 5.73\ hours or 5\ hours\ and\ 44\ minutes

Step-by-step explanation:

You can use the following work-rate formula:

\frac{t}{t_A}+\frac{t}{t_B}=1

In this case let be {t_A} the time  it takes for Natalie to pick 40 bushels, {t_B} the time it takes for Mary to pick 40 bushels and t the time it takes to pick 40 bushels  if they work together.

Based on the information given in the exercise, you can identify that:

t_A=12\\\\t_B=11

Then, knowing this values, you need to substitute them into the formula:

 \frac{t}{12}+\frac{t}{11}=1

Finally, you must solve for "t" in order to find its value.

The result is:

t(\frac{1}{12}+\frac{1}{11})=1\\\\t(\frac{23}{132})=1\\\\t=\frac{132}{23}\\\\t=5.73\ hours

Since 1\ hour=60\ minutes:

(0.73\ hours)(\frac{60\ minutes}{1\ hour})\approx44\ minutes

Therefore it would take 5 hours and 44 minutes  to pick 40 bushels if they worked together.

3 0
3 years ago
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