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Sindrei [870]
3 years ago
15

The first T-shirt you buy costs $7, and every additional shirt costs only $5. Let f(n) be the total cost of n shirts. F is a seq

uence. What kind of sequence is it?
Mathematics
1 answer:
Zina [86]3 years ago
6 0

Answer:

f(n) = 2 + 5n. This is an arithmetic sequence.

Step-by-step explanation:

f(1) = 7

f(2) = 7 + 5

f(3) = 7 + 5 + 5 = 7 +10

f(4) = 7 + 5 + 5 + 5 = 7 + 15

In general,

f(n) = 7 + 5(n -1 )

        = 7 + 5n - 5

        = 2 + 5n

We have the sequence 7, 12, 17, 22, 27 …

This is an arithmetic sequence, because it is a sequence of numbers in which the <em>common difference</em> between consecutive terms is 5.

You might be interested in
What is the value of the expression 12(m−23n) when m=32 and n=12 ?
Verizon [17]

are those the options? something is wrong here and I'm not sure what. I'm sorry if this is wrong, I tried my best

Answer:

-2,928

Step-by-step explanation:

12 ( 32 - [ 23 • 12 ] )

order of operations PEMDAS ( parenthesis, exponents, multiplication/division, addition/subtraction )

23 • 12 = 276

12 ( 32 - 276 )

12 ( -244 )

-2,928

5 0
2 years ago
suppose andrew slept for eight hours one night. Ten percent of his sleep hours were before mignight. What.time did andrew go to
m_a_m_a [10]
Answer: 11:12 PM.
explanation:
- 10% of 8 is 0.8. (10% is 0.1, and you multiply this by 8)
- multiply 0.8 by 60 so you can get the number of minutes before midnight (this is 48).
- 48 minutes before midnight is 11:12.
6 0
3 years ago
The following six independent length measurements were made (in feet) for a line: 736.352, 736.363, 736.375, 736.324, 736.358, a
horrorfan [7]

Answer:

Assuming population data

\sigma = \sqrt{0.000354}=0.0188

Assuming sample data

s = \sqrt{0.000425}=0.0206

Step-by-step explanation:

For this case we have the following data given:

736.352, 736.363, 736.375, 736.324, 736.358, and 736.383.

The first step in order to calculate the standard deviation is calculate the mean.

Assuming population data

\mu = \frac{\sum_{i=1}^6 X_i}{6}

The value for the mean would be:

\mu = \frac{736.352+736.363+736.375+736.324+736.358+736.383}{6}=736.359

And the population variance would be given by:

\sigma^2 = \frac{\sum_{i=1}^6 (x_i-\bar x)}{6}

And we got \sigma^2 =0.000354

And the deviation would be just the square root of the variance:

\sigma = \sqrt{0.000354}=0.0188

Assuming sample data

\bar X = \frac{\sum_{i=1}^6 X_i}{6}

The value for the mean would be:

\bar X = \frac{736.352+736.363+736.375+736.324+736.358+736.383}{6}=736.359

And the population variance would be given by:

s^2 = \frac{\sum_{i=1}^6 (x_i-\bar x)}{6-1}

And we got s^2 =0.000425

And the deviation would be just the square root of the variance:

s = \sqrt{0.000425}=0.0206

6 0
3 years ago
XY and BD are parallel lines X is a point on AB and C is a point on BD XB = XC a)complete this sentence Angle XBC=55 degree beca
solong [7]

Answer:

A is corresponding angles are equal

Step-by-step explanation:

4 0
3 years ago
Help plzzzz ill give extra points
lbvjy [14]

Answer:

12x

16x, 320

20

Step-by-step explanation:

Hope this helps

3 0
2 years ago
Read 2 more answers
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