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3 years ago

Two questions

Mathematics

1 answer:

melamori03 [73]3 years ago

5 0

Use PEMDAS method to execute operations in the following order:

Parentheses
Exponents
Multiplication
Division
Addition
Subtraction

First equation:

12 + (38 - 18)2 = 12 + 20 × 2 = 52

Second equation:

(12)2 - 6(2 - 23) = 24 - 6(-21) = 24 + 126 = 150

Hope this helps.

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Alex is 22 years older than Lana. Four years ago Lana’s age was one-half of Alex’s current age. How old was Alex four years ago?

katen-ka-za [31]

Answer:

Step-by-step explanation

22 divided by 2 is 11

it says four years ago so add 11 and 4 and that equals 15

she is 15 right now. then add 22 which is 37 and subtract 4 which your answer would be 33

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3 years ago

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gavmur [86]

1. 5/6
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2 years ago

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Please help to find an explicit formula for calculating the sum Mn

defon

The explicit formula for calculating the sum is

$S_N=\frac{n(n-1)}{2} \cdot\frac{n(n+1)}{2}$

The sum of the nth term of a sequence is expressed as;

$S_n=\frac{n}{2}(2a+(n-1)d)$

a is the first term

d is the common difference

n is the number of terms

For the sequence 0 + 1 + 2 + 3 +...

$S_n=\frac{n}{2}(2(0)+(n-1)1)\\S_n= \frac{n}{2}(n-1)\\S_n= \frac{n(n-1)}{2}$

Similarly for the sequence:

1 + 2+ 3 + 4+...

$S_n=\frac{n}{2}(2(1)+(n-1)1)\\S_n= \frac{n}{2}(2+n-1)\\S_n= \frac{n(n+1)}{2}$

Taking the product of the sum to get the explicit formula for calculating the sum

$S_N=\frac{n(n-1)}{2} \cdot\frac{n(n+1)}{2}$

Learn more here: brainly.com/question/24547297

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netineya [11]

Answer:

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Step-by-step explanation:

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3 years ago

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mr_godi [17]

Answer:

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Step-by-step explanation:

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