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raketka [301]
2 years ago
5

Solve: sin(11pi/2 +x)= -1/2 for [pi, 2pi]

Mathematics
1 answer:
Angelina_Jolie [31]2 years ago
6 0

Step-by-step explanation:

Step-by-step explanation: Given the expression sin(11pi/2 +x) =-1/2. Take the arcsin of both sides. sin⁻¹[sin(11pi/2 +x)]

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Intel estimates that about 12 quintillion transistors are shipped around the globe each year. If that represents 10,000 times th
ra1l [238]

Answer:

Number on ants on Earth = 1.2 × 10¹⁵

Step-by-step explanation:

1 quintillion = 10¹⁸ or (1000000000000000000)

∴ 12 quintillion = 12 × 10¹⁸

12 quintillion = 10,000 × Number of ants on Earth

Let the number of ants on Earth = n

12 quintillion = 10,000 × n

dividing both sides by 10,000

12 quintillion ÷ 10,000 = n

n = \frac{12\ \times\ 10^{18} }{10,000} \\n =  \frac{12\ \times\ 10^{18} }{10^{4}}\\n = 12\ \times\ \frac{10^{18}}{10^{4}} \\applying\ the\ second\ law\ of\ indices\ (\frac{x^m}{x^n} = x ^{m-n})\\ n = 12\ \times\ 10^{(18 - 4)\\n = 12\ \times 10^{14}\\in\ standard\ form\\n = 1.2\ \times 10\ \times\ 10^{14}\\\therefore n = 1.2\ \times\ 10^{15}

Number on ants on Earth = 1.2 × 10¹⁵

6 0
3 years ago
Joe is arranging video games on shelves. He has 48 playstation games and 36 xbox games, Each shelf will have the same number of
Nat2105 [25]

Answer:

2 shelves

3 shelves

4 shelves

6 shelves

12 shelves

Step-by-step explanation:

playstation games = 48

xbox games = 36

Each shelf will have the same number of playstation and xbox games.

Find the common multiples of 48 and 36

48 = 2, 3, 4, 6, 8, 12, 16, 24, 48

36 = 2, 3, 4, 6, 9, 12, 18, 36

The common multiples are 2, 3, 4, 6, and 12

Therefore, the possible number of shelves Joe will use is

2 shelves

3 shelves

4 shelves

6 shelves

12 shelves

4 0
2 years ago
A store charges $32 to print 80 greeting cards and $0.33 for each additional greeting card
Crazy boy [7]
32 + 0.33c = p

where c is every card more than 80 (so if you want 82 card c = 2)
and p is the total price
8 0
3 years ago
Read 2 more answers
If you help with the correct answer u are a god .pt2​
Brrunno [24]

a. Answer:  D: (∞, ∞)

                   R: (-∞, ∞)

<u>Step-by-step explanation:</u>

Theoretical domain is the domain of the equation (without an understanding of what the x-variable represents).

Theoretical range is the range of the equation given the domain.

c(p) = 25p

There are no restrictions on the p so the theoretical domain is All Real Numbers.

Multiplying 25 by All Real Numbers results in the range being All Real Numbers.

a) D: (∞, ∞)

   R: (-∞, ∞)

*********************************************************************************

b. Answer:  D: (0, 200)

                    R: (0, 5000)

<u>Step-by-step explanation:</u>

Practical domain is the domain of the equation WITH an understanding of what the x-variable represents.

Practical range is the range of the equation given the practical values of the domain.

The problem states that p represents the number of cups.  Since we can't have a negative amount of cups, p ≥ 0.  The problem also states that Bonnie will purchase a maximum of 200 cups. So, 0 ≤ p ≤ 200

The range is 25p →  (25)0 ≤ (25)p ≤ (25)200

                             →      0   ≤  25p  ≤  5000

b) D: (0, 200)

   R: (0, 5000)

5 0
3 years ago
If seven less than a number is 8, find the number
dedylja [7]
X-7=8
Add 7 to both sides so you can isolate the variable
x=15
8 0
2 years ago
Read 2 more answers
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