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earnstyle [38]
3 years ago
11

If a roll of a certain kind of wrapping paper is unrolled, the wrapping paper forms a rectangle that is 3 feet wide and 20 feet

long. The wrapping paper is to be covered with an array of ladybugs by repeating the design. (3 in by 2 in has 12 ladybugs in it) How many ladybugs will be on the wrapping paper? Explain reasoning.
Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
3 0
 the wrapping paper is 60 feet long
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Stacy was born in 1996.When she was, her brother was 7. What year was her brother born
Tasya [4]

Answer:

Her brother was born in 1989

Step-by-step explanation:

Since the brother was 7 when Stacy was born in 1996, all you have to do is subtract 7 from 1996 to get 1989 because thats when the brother would be zero years of age.

4 0
2 years ago
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What number + (−56)=12 <br> How do I do this?
Mars2501 [29]

Answer:

Step-by-step explanation:

x+(-56)=12

exclude "x"

x=56+12

x=68

7 0
2 years ago
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The temperature of the sun is 27 million degrees Fahrenheit. Use scientific notation to express the temperature.
Ipatiy [6.2K]

Answer:

A

Step-by-step explanation:

We know million has 6 zeros.

So, 1 million would be written as:

1,000,000

Similarly, 27 million would be written as:

27,000,000

We know writing a number in scientific notation would make this a decimal in 1 decimal place, so we would select "2.7" as the base of the scientific number.

Now, how many places to the right do we need to go (in 2.7) to make it 27,000,000?

Counting, we see:  7 places

So, power of 10 would be "7", thus we can write:

2.7*10^7

Answer choice A is right

3 0
2 years ago
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Let f(x) be a polynomial such that f(cos θ) = cos(4) θ for all θ. Find f(x). (This is essentially the same as finding cos(4) θ i
Galina-37 [17]

Answer:

f(x) = 8x⁴-8x²+1

Step-by-step explanation:

I will assume that f(cos θ) = cos(4θ). Otherwise, f would not be a polynomial. lets divide cos(4θ) in an expression depending on cos(θ). We use this properties

  • cos(2a) = cos²(a) - sin²(b)
  • sin(2a) = 2sin(a)cos(a)
  • sin²(a) = 1-cos²(a)

cos(4θ) = cos(2 * (2θ) ) = cos²(2θ) - sin²(2θ) = [ cos²(θ)-sin²(θ) ]² - [2cos(θ)sin(θ)]² = [cos²(θ) - ( 1 - cos²(θ) ) ]² - 4cos²(θ)sin²(θ) = [2cos²(θ)-1]² - 4cos²(θ) (1 - cos²(θ) ) = 4 cos⁴(θ) - 4 cos²(θ) + 1 - 4 cos²(θ) + 4 cos⁴(θ) = 8cos⁴(θ) - 8 cos²(θ) + 1

Thus f(cos(θ)) = 8 cos⁴(θ) - 8 cos²(θ) + 1, and, as a result

f(x) = 8x⁴-8x²+1.

5 0
3 years ago
Yuri and Nathan both made posters. Yuri made 1,272 copies of his poster. Nathan made 325 copies of his poster. How many more cop
Andrew [12]

Answer:

Yuri made 947 more copies than Nathan.

Step-by-step explanation:

Since we are finding the difference from the amount Yuri and Nathan made, the operation is subtraction. Since Yuri made more copies, his number will go first: 1272-325. Then, we solve by subtracting the two numbers, and you should get 947.

Thus, Yuri made 947 more copies than Nathan.  

6 0
2 years ago
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