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Inessa [10]
3 years ago
14

Find the 14th term of the arithmetic sequence whose common difference is d=9 and whose first term is an = 2.

Mathematics
1 answer:
jeyben [28]3 years ago
6 0

9514 1404 393

Answer:

  119

Step-by-step explanation:

Put the given values in the formula for the general term, and do the arithmetic.

  an = a1 +d(n -1) . . . . . first term a1, common difference d

  a14 = 2 +9(14 -1) = 119

The 14th term is 119.

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Two solutions of salt water contain 0.07% and 0.23% salt respectively. A lab technician wants to make 1 liter of solution which
DerKrebs [107]

0.75 liter of 0.07 % is used and 0.25 liter of 0.23 % salt is used

<em><u>Solution:</u></em>

We have to 1 liter of final solution

Let "x" be the salt solution of 0.07 %

Then, (1 - x) is the salt solution of 0.23 %

Then final solution should be 1 liter of solution which contains 0.11 % salt

Thus, 0.07 % of "x" is mixed with 0.23 % of (1 - x) to make a solution 0.11 % of 1 liter

<em><u>Thus a equation is framed as:</u></em>

0.07 % of x + 0.23 % of (1 - x) = 0.11 % of 1

0.07 \% \times x + 0.23 \% \times (1-x) = 0.11 \% \times 1\\\\\frac{0.07}{100} \times x + \frac{0.23}{100} \times (1-x) = \frac{0.11}{100} \times 1\\\\0.0007x + 0.0023(1-x) = 0.0011\\\\0.0007x + 0.0023 - 0.0023x = 0.0011\\\\-0.0016x = -0.0012\\\\x = 0.75

Thus 0.75 liter of 0.07 % is used

And,

1 - x = 1 - 0.75 = 0.25

Thus 0.25 liter of 0.23 % salt is used

6 0
4 years ago
Graph the function y = 1 /3 x − 2.
Virty [35]

Answer:

start at the point (0,-2) and go up one and to the right three, keep going until you run out of room. then, draw a straight line through all the points :)

Step-by-step explanation:

hope this helped!

4 0
3 years ago
I need help guys please<br> i will be thankful
sattari [20]

Answer:

16.94 cm

Step-by-step explanation:

4 0
3 years ago
What is 28% of $1.00
Mazyrski [523]
28% of 1.00 = 28
To get your answer, multiply .28 * 100.
28% of $1.00 = 28 cents. 
8 0
3 years ago
Read 2 more answers
WILL GIVE BRAINLIEST IF IT IS RIGHT AND EXPLAINED
Valentin [98]

Answer: x=36 degrees

Step-by-step explanation:

Angle EAF and FAB must equal 180 degrees together as all straight lines do. 36 times 3= 108 degrees so 3x=108 degrees. 36 times 2= 72 degrees so 2x=72 degrees. Therefore, 3x+2x=180 degrees.

3 0
3 years ago
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