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vovangra [49]
3 years ago
11

Using GEMS : groupings, exponents,

Mathematics
1 answer:
nikdorinn [45]3 years ago
7 0

Answer:

7

Step-by-step explanation:

1) Simplify 5 - 4 to 1.

2² + 1 × 3

2) Simplify 2² to 4.

4 + 1 × 3

3) Simplify 1 × 3 to 3.

4 + 3

4) Simplify.

<h2><u><em>7</em></u></h2>
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Answer:

On an average, the shop 1 has a lighter variety of laptops.

False

If you buy a laptop of 10 pounds, then it's more likely that you bought the laptop from shop 1.

False

Shop 2 has more laptops with a weight less than the average weight than does Shop 1.

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3 years ago
Given: sin(18m-12)=cos(7m+2), find the value of m.
V125BC [204]

Answer:

m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z

or m = 2/3 - (π n_2)/18 for n_2 element Z

Step-by-step explanation:

Solve for m:

-cos(7 m + 2) sin(12 - 18 m) = 0

Multiply both sides by -1:

cos(7 m + 2) sin(12 - 18 m) = 0

Split into two equations:

cos(7 m + 2) = 0 or sin(12 - 18 m) = 0

Take the inverse cosine of both sides:

7 m + 2 = π n_1 + π/2 for n_1 element Z

or sin(12 - 18 m) = 0

Subtract 2 from both sides:

7 m = -2 + π/2 + π n_1 for n_1 element Z

or sin(12 - 18 m) = 0

Divide both sides by 7:

m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z

or sin(12 - 18 m) = 0

Take the inverse sine of both sides:

m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z

or 12 - 18 m = π n_2 for n_2 element Z

Subtract 12 from both sides:

m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z

or -18 m = π n_2 - 12 for n_2 element Z

Divide both sides by -18:

Answer: m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z

or m = 2/3 - (π n_2)/18 for n_2 element Z

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