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Alekssandra [29.7K]
3 years ago
5

sara drives 117 miles on 5.2 gallons of gas.she uses this information to calculate how many miles per gallon she can drive. usin

g this result, how many miles can sara drive on 12 gallons of gas?
Mathematics
1 answer:
Vesnalui [34]3 years ago
4 0
I think its 270 miles per gallon
 
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Given the general form of the sinusoidal function, y = AsinB(x - C) + D, match the following items.
Jet001 [13]

Answer:

\Delta y = A (Amplitude) (Correct answer: 1)

\omega = B (Angular frequency) (Correct answer: 2)

x_{o} = C (Phase shift) (Correct answer: 3)

y_{o} = D (Vertical shift) (Correct answer: 4)

\frac{2\pi}{\omega} = \frac{2\pi}{B} (Period) (Correct answer: 5)

Step-by-step explanation:

The general form of a sinusoidal function is represented by the following characteristics:

y = \Delta y \cdot \sin \omega\cdot (x- x_{o}) + y_{o} (1)

Where:

\Delta y - Amplitude.

\omega - Angular frequency.

x_{o} - Phase shift.

y_{o} - Vertical shift.

x - Independent variable.

y - Dependent variable.

In addition, we know that the period associated with the sinusoidal function (T) is:

T = \frac{2\pi}{\omega}

By direct comparison, we get the following conclusions:

\Delta y = A (Amplitude) (Correct answer: 1)

\omega = B (Angular frequency) (Correct answer: 2)

x_{o} = C (Phase shift) (Correct answer: 3)

y_{o} = D (Vertical shift) (Correct answer: 4)

\frac{2\pi}{\omega} = \frac{2\pi}{B} (Period) (Correct answer: 5)

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3 years ago
How do I find the area of a rhombus?
QveST [7]
A = pq/2
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Arturiano [62]

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3 years ago
What is the domain of the function?
Mazyrski [523]

Answer:     The answer is <em><u>-2</u></em>

Step-by-step explanation:

that is where the line starts

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(30 points!)
Vera_Pavlovna [14]

Answer:

The lengths of the sides are 12cm, 28cm and 36cm.

Step-by-step explanation:

Let the smallest side be 4x, the middle side be 7x and the largest side be 9x.

Smallest side + middle side + largest side = 60cm

4x + 7x + 9x = 60

20x = 60

x = 60 ÷ 20

x = 3

Smallest side (4x) = 3 × 4

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Middle side (7x)  = 7 × 4

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Largest side (9x) = 9 × 4

                            = 36

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