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ICE Princess25 [194]
3 years ago
12

If the 13th and 38th terms of an arithmetic sequence are -53 and -128,

Mathematics
1 answer:
love history [14]3 years ago
7 0

9514 1404 393

Answer:

  -2018

Step-by-step explanation:

The n-th term is ...

  an = a1 +d(n -1)

So, the given terms are ...

  -53 = a1 +12d

  -128 = a1 +37d

Subtracting the first from the second gives ...

  (a1 +37d) -(a1 +12d) = (-128) -(-53)

  25d = -75

  d = -3

The 668th term will be ...

  a668 = a1 +d(668 -1) = a1 +667d = (a1 +37d) +630d

  a668 = -128 +630(-3) = -128 -1890 . . . . substitute for a38

  a668 = -2018

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( 32.45 - 4.8) - 2.06
Igoryamba

Answer:

25.59

Step-by-step explanation:

The first thing that you will do is solve parenthesis (remember PEMDAS).

(32.45-4.8) - 2.06

(27.65) - 2.06

Then do the subtraction.

(27.65) - 2.06=

25.59

Hope this helps!

5 0
3 years ago
Which of the following statements is NOT true
slava [35]

Answer :The first one

Step-by-step explanation:

4 0
3 years ago
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A square has the side measurement of s=6^3/2 , Use the formula A = s^2 , find the area of the square
irakobra [83]
s=6^{ \frac{3}{2} } \\ \\ A=s^2={(6^{ \frac{3}{2} } )}^2=6^{ 3}= 216 \ \ units^2
7 0
3 years ago
In 2009 the number of vehicle sales in the United States was 10,002 thousand and in 2013 it was 17,884 thousand.a. [3 pts] Deter
anygoal [31]

Answer:

1970.5 thousand

Step-by-step explanation:

Given

Vehicle sales in 2009 = 10,002 thousand

Vehicle sales in 2013 = 17,884 thousand

Required

Determine the average rate of change;

From the given parameters, it can be seen that the number of vehicles is a function of year

Let x represent the years and y represent the number of vehicles;

Such that;

x_1 = 2009;\ y_1 = 10,002

x_2 = 2013;\ y_2 = 17,884

The rate of change is calculate as follows;

m = \frac{y_1 - y_2}{x_1 - x_2}

m = \frac{10002 - 17884}{2009 - 2013}

m = \frac{-7882}{-4}

m = \frac{-7882}{-4}

m = 1970.5

Hence, the average rate of change is 1970.5 thousand

6 0
4 years ago
Two fair dice are rolled 3 times and the sum of the numbers that come up is recorded. Find the probability of these events. a. T
alexandr402 [8]

Answer:

Step-by-step explanation:

Given that two fair dice are rolled 3 times and the sum of the numbers that come up is recorded.

a) The sum is 4 on each of the three rolls.

(1,3) (2,2) (3,1) HEnce for one throw prob = 3/36 =1/12

Prob for getting same sum 4 in 3 rolls = (\frac{1}{12} )^3

(since each trial is independent)

b) Prob sum =4 in exactly 2 rolls

= 3C2 (1/12)^2 (11/12)=\frac{33}{12^3}

5 0
3 years ago
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