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3 years ago

3 - 4 x 2 The first step to evaluate the expression is ...

1 answer:

5 0

To find these out you have to use the strategy of P (parenthesis) E (exponents) M (multiplication) D (division) A (addition) S (subtraction)

3 - 4 x 2 The first thing you need to do is do the multiplication part first, since subtraction is the last thing you need to do. You multiply 4 and 2 and get the answer of 8, then subtract 3 which is 5

5 x 3 - 4 The first thing you need to do is multiplication 5 x 3 which equals 15 and then do 15 - 4 = 11

15 ÷ (3 x 5) x 2 The first thing you do is you do the P (parenthesis) which is (3x5) which equals 15. Then you multiply 15 with 2 which is 30 and then divide 30 with 15 which is 2

5 + 3 x 2 ÷ 6 First you need to do the Multiplication which is 3 x 2 which equals 6, and then you do the division, which is 6 ÷ 6 which is 1. Then add 5 to the 1 which is 6.

<em>Your welcome and please give brainly :)</em>

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Dont really understand how to do this

bija089 [108]

Answers:

$t_{10} = -22 \ \text{ and } S_{10} = -85$

========================================================

Explanation:

$t_1 = \text{first term} = 5\\t_2 = \text{first term}-3 = t_1 - 3 = 5-3 = 2$

Note we subtract 3 off the previous term (t1) to get the next term (t2). Each new successive term is found this way

$t_3 = t_2 - 3 = 2-3 = -1\\t_4 = t_3 - 3 = -1-3 = -4$

and so on. This process may take a while to reach $t_{10}$

There's a shortcut. The nth term of any arithmetic sequence is

$t_n = t_1+d(n-1)$

We plug in $t_1 = 5 \text{ and } d = -3$ and simplify

$t_n = t_1+d(n-1)\\t_n = 5+(-3)(n-1)\\t_n = 5-3n+3\\t_n = -3n+8$

Then we can plug in various positive whole numbers for n to find the corresponding $t_n$ value. For example, plug in n = 2

$t_n = -3n+8\\t_2 = -3*2+8\\t_2 = -6+8\\t_2 = 2$

which matches with the second term we found earlier. And,

$tn = -3n+8\\t_{10} = -3*10+8\\t_{10} = -30+8\\t_{10} = \boldsymbol{-22} \ \textbf{ is the tenth term}$

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The notation $S_{10}$ refers to the sum of the first ten terms $t_1, t_2, \ldots, t_9, t_{10}$

We could use either the long way or the shortcut above to find all $t_1$ through $t_{10}$ . Then add those values up. Or we can take this shortcut below.

$Sn = \text{sum of the first n terms of an arithmetic sequence}\\S_n = (n/2)*(t_1+t_n)\\S_{10} = (10/2)*(t_1+t_{10})\\S_{10} = (10/2)*(5-22)\\S_{10} = 5*(-17)\\\boldsymbol{S_{10} = -85}$

The sum of the first ten terms is -85

-----------------------

As a check for $S_{10}$ , here are the first ten terms:

t1 = 5
t2 = 2
t3 = -1
t4 = -4
t5 = -7
t6 = -10
t7 = -13
t8 = -16
t9 = -19
t10 = -22

Then adding said terms gets us...

5 + 2 + (-1) + (-4) + (-7) + (-10) + (-13) + (-16) + (-19) + (-22) = -85

This confirms that $S_{10} = -85$ is correct.

6 0

2 years ago

write two different inequalities in which one of the solutions is the same as the solution to x - 23 = 192

Slav-nsk [51]

Answer:

I don't no the answer sorry

3 0

3 years ago

Mhhhhhhhhhh welppp i need help

Dahasolnce [82]

Answer:

It does not pass the vertical Line test, because the vertical line test is when you put a line through a something like this circle and if it passes throug it more the once it is not a line.

Step-by-step explanation:

Hope this help.

6 0

3 years ago

Read 2 more answers

What is it? Eighty-six divided by six??

bixtya [17]

The answer is 14.33333 but you will have to round which you will just have 14.3

6 0

3 years ago

Read 2 more answers

Convert 750ft to metre

Angelina_Jolie [31]

One meter is composed of approximately 3.28 feet. To convert a certain measure in feet to meter, divide the number by 3.28. From the given above, using dimensional analysis and the conversion factor,

(750 ft) x (1 m/ 3.28 ft) = 228.66 m

Thus, 750 ft is approximately 228.66 in meters.

6 0

3 years ago