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3 years ago

Write an equation for the nth term of the arithmetic sequence. 17, 12, 7, 2, ... an=

Mathematics

1 answer:

Lorico [155]3 years ago

5 0

Answer:

An equation for the nth term of the arithmetic sequence 17, 12, 7, 2 is 17-5n.

Step-by-step explanation:

Given,

first term(a)=17

common difference (d)=t2-t1

=12-17

=-5

nth term of the arithmetic sequence = a+n×d

=17+n×-5

=17-5n

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Perimeter of a triangle (combine like terms)

patriot [66]

Answer:

6x+3

Step-by-step explanation:

(x+4)+(3x-2)+(2x+1)

=x+4+3x-2+2x+1

=x+4+3x-2+2x+1 --> Here I'm just bolding the variables. This makes it easier to combine like terms in the next line.

=6x+4-2+1

=6x+3

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2 years ago

Read 2 more answers

The scheduled arrival time for a daily flight from Boston to New York is 9:30 am. Historical data show that the arrival time fol

Galina-37 [17]

Answer:

Step-by-step explanation:

Let x be a random variable representing the flight arrival time from Boston to New York.

For a uniform probability distribution, the notation is

X U(a, b) where a is the lowest value of x and b is the lowest value of x

The probability density function, f(x) = 1/(b - a)

Mean, µ = (a + b)/2

Standard deviation, σ = √(b - a)²/12

From the information given, the time difference in minutes is 9:57 - 9:07 = 50 minutes. Therefore,

a = 0

b = 50

µ = (0 + 50)/2 = 25

σ = √(50 - 0)²/12 = 14.43

b) converting to minutes, it is 9:30 - 9:07 = 23 minutes

the probability that a flight arrives late(later than 9:30 am) is expressed as P(x > 23)

f(x) = 1/(50) = 0.02

P(x > 23) = (50 - 23)0.02 = 0.54

7 0

3 years ago

Charlotte has two job offers as a car sales person. The first job will pay her $600 a month plus 2% on the price of her car sale

Lana71 [14]

$40,000
Let x be the sales amount.
600+0.02x=1000+0.01x
x=$40,000

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3 years ago

Solve the equation by completing the square. Round to the nearest hundredth if necessary. x2 – x – 7 = 0

Tanzania [10]

2x-x-7=0

3x-7=0

add 7 to 7 and 0, so then we cross out 7-7, and then

3x=7, bc u change the subtraction to addition, sr if thst doesn't make sense but 3x=7 is the answer

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3 years ago

Read 2 more answers

20 PTS What is the sixth term of the sequence shown in the table? Term Value 1 –46,656 2 7,776 3 –1,296 4 216 5 6 {SEE IMAGE}

olganol [36]

Answer:

a₆ = 6

Step-by-step explanation:

There is a common ratio r between consecutive terms in the sequence, that is

r = $\frac{216}{-1296}$ = $\frac{-1296}{7776}$ = $\frac{7776}{-46656}$ = - $\frac{1}{6}$

This indicates the sequence is geometric.

To obtain any term in the sequence, multiply the previous term by r, thus

a₅ = 216 × - $\frac{1}{6}$ = - 36

a₆ = - 36 × - $\frac{1}{6}$ = 6

8 0

3 years ago