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Lisa [10]
4 years ago
9

Algebraic expression for Twice the difference of a number and 7

Mathematics
1 answer:
Klio2033 [76]4 years ago
7 0

Answer: 2*(n-7) , (Twice the difference of a #' and 7') .

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Siree wants to go surfing for one hour tomorrow. The height of the waves on a local beach can be approximated by the function H(
Marta_Voda [28]

Answer:

  • Option B. <em><u>The height of the waves are at least 8 feet between 12:00 am and 8:00 am.</u></em>

Explanation:

The correct function H(x) that approximate the height of the waves is:

  • H(x)=6sin(\frac{x\pi}{8})+8

Now, understand what each term and factor mean:

<u>1. Coefficient 6:</u>

  • 6 is the amplitude of the wave. It means that the crest of the wave is 6 feet above the rest point, and the trough is 6 feet below the rest point.

<u>2. Constant term 8:</u>

  • 8 is the height of the rest point of the wave. That means that the crest of the wave will b 6 feet + 8 feet = 14 feet; and the trough will be - 6 feet + 8 feet = 2 feet.

        This is the wave will be oscilating between 2 and 14 feet.

<u>3. Sine part of the function:</u>

  • sin(\frac{x\pi }{8})

The period of the sine function is given by:

  • \frac{2\pi }{\pi/8 }=16

That means that the pattern of the wave will repeat every 16 hours (period = 16 hours).

<u>4. Calculate the height of the wave at midnight, i.e x = 0</u>

  • H(0)=6sin(0)+8=8

Then, then the waves will be 8 feet the first time at midnight.

<u>5. Find the time when the wave reaches the maximumm height first time:</u>

  • H(max) = 6 feet + 8 feet = 14

  • 14=6sin(\frac{x\pi }{8})+8\\\\ 6=6sin(\frac{x\pi }{8})\\\\sin(\frac{x\pi }{8})=1\\\\ \frac{x\pi }{8}=\frac{\pi }{2}\\\\ x=4

Hence, the wave will be at its maximum height (14 feet) at 4 am.

<u>6. Use symmetry.</u>

The wave tool 4 hours to go from 8 feet to 16 feet; given the symmetry of the function it will take other 4 hours to fall from 16 feet to 8 feet.

Hence, the wave will be 8 feet again at 4am + 4 = 8 am.

<u>7 Conclusion:</u>

  • The height of the waves will be at least 8 feet between 12:00 am (midnight) and 8:00 am. This is the option B.
6 0
4 years ago
The food bank received a large 49 pound bag of potatoes that they would 2 points
AVprozaik [17]

Answer:

14 portion

Step-by-step explanation:

Given:

Total mass of potatoes = 49 pound

Mass of each small bag = 3.5 pound

Find:

Total number of bags

Computation:

Total number of bags = Total mass of potatoes / Mass of each small bag

Total number of bags = 49 / 3.5

Total number of bags = 14 bags

Total 14 portion can me made from big bag

7 0
3 years ago
Which pair of undefined terms is used to define the term parallel lines?
nikdorinn [45]

Answer:

The undefined terms needed to define parallel lines are 'lines' and 'points. ' In geometry, there are three undefined terms: points, lines

Step-by-step explanation:

3 0
3 years ago
This question is confusing. Please help me!
velikii [3]

Answer:

x = 18

Step-by-step explanation:

Given:

  • a = 2x +3
  • b = 4x - 7

Finding x for which 3b = 5a:

  • 3b = 5a
  • 3(4x - 7) = 5(2x + 3)
  • 12x - 21 = 10x + 15
  • 12x - 10x = 15 + 21
  • 2x = 36
  • x = 36/2
  • x = 18
7 0
3 years ago
Read 2 more answers
I need to know what –5(–2) equals.
trasher [3.6K]

Answer:

10

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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