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sweet [91]
2 years ago
15

Ahmed says that 0.505005000500005 is a rational number because it is a repeating decimal, is he correct? Explain your reasoning.

Mathematics
1 answer:
Dafna1 [17]2 years ago
8 0
Yes he is correct as rational numbers are any numbers, like- 0.5444, -2.8, 7, -3, 1/2, -1/9. Thus, 0.505005000500005 is a rational number as it is a repeating decimal.
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8x(40+7)=(8x )+(8x7 what is the missing number
Hitman42 [59]
Well since the first expression says 8x(40+7) the answer would be 40 that is missing

Since your splitting 47 into 40 and 7 and multiplying both of them by 8 the answer would be 40
6 0
3 years ago
Identity the vertical shift maximum and minimum values of each function
olga55 [171]

ANSWER

Vertical shift: 3 units down.

Maximum value: -2

Minimum value: -4

EXPLANATION

The given sine function is ;

y =  -  \sin(x)  - 3

The vertical shift is 3 units down.

The maximum value is 1+-3=-2

The minimum value is -1-3=-4

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Which classification describes ∠ACD and ∠DCB?
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3 years ago
Below is the graph of a trigonometric function. It intersects its midline at (3.7, 5) and again at (5.9, 5).
Flauer [41]

Answer:

4.4

Step-by-step explanation:

The parent function of this graph is:  y = sin(x)

The sine function is periodic, meaning it repeats forever.

Standard form of a sine function:

\sf f(x)= A \sin(B(x+C))+D

where:

  • A = amplitude (height from the mid-line to the peak)
  • 2π/B = period (horizontal distance between consecutive peaks)
  • C = phase shift (horizontal shift - positive is to the left)
  • D = vertical shift

The <u>period</u> is the horizontal distance between consecutive peaks, which is the same as <u>twice the horizontal distance between the intersection of the curve and the mid-line</u>.

Given consecutive points of intersection between the curve and the mid-line:

  • (3.7, 5)
  • (5.9, 5)

Therefore, the horizontal distance between these two points is:

5.9 - 3.7 = 2.2

⇒ Period = 2.2 × 2 = 4.4

-------------------------------------------------------------------------------------

To create the equation for the function.

From inspection of the given graph:

  • Amplitude (A) = 6
  • Mid-line is y = 5
  • Vertical shift (D) = +5

Period = 2π/B = 4.4  ⇒  B = 5π/11

Phase Shift (C) = -3.7

Substituting the values into the standard form:

\implies \sf f(x)= 6 \sin\left(\dfrac{5}{11}\pi(x-3.7)\right)+5

\implies \sf f(x)= 6 \sin\left(\dfrac{5}{11} \pi x-\dfrac{37}{22}\pi \right)+5

8 0
2 years ago
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