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iogann1982 [59]
3 years ago
9

Which expression is equivalent to (-18)-64n

Mathematics
1 answer:
Kruka [31]3 years ago
6 0

Answer:

C)-2(9+32n)

Step-by-step explanation:

The given expresion is

- 18 - 64n

We can rewrite this expression as:

- 2 \times 9 +  - 2 \times 32n

We factor -2 to obtain:

- 2(9 + 32n)

Note that, we can use the distributive property to obtain:

- 2(9 + 32n) =  - 18 - 64n

Therefore the correct answer is C)-2(9+32n)

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Answer:

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Step-by-step explanation:

1) $233.20 divided 11 hours is a hourly rate of $21.20. $21.20 multiplied by 3 hours is $63.60.

2) To find the slope you need \frac{y_{2} -y_{1}}{x_{2}-x_{1}}. (10-2)/(2-1) is 8. The slope is 8. So you have y=8x+b. To find b just plug in a point and solve. 2=8(1)+b. B= -6. y=8x-6

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Answer:

idek

Step-by-step explanation:

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3 years ago
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Shkiper50 [21]

Answer:

infinite

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  • x=1
  • y=3

Let the linear equation in two variables be ax+by+c=0

Put values

\\ \sf\longmapsto 1a+3b+c=0

\\ \sf\longmapsto a+3b+c

Hence for any values it has infinite number of solutions .

including x=1 and y=3

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A guitar string is plucked at a distance of 0.6 centimeters above its resting position and then released, causing vibration. The
liubo4ka [24]

Answer:

The equation that represents the motion of the string is given by:

y =Ae^{-kt}\cos(2\pi ft)     .....[1] where t represents the time in second.

Given that: A = 0.6 cm (distance above its resting position) , k = 1.8(damping constant) and frequency(f) = 105 cycles per second.

Substitute the given values in [1] we get;

y =0.6e^{-1.8t}\cos(2\pi 105t)  

or

y =0.6e^{-1.8t}\cos(210\pi t)  

(a)

The trigonometric function that models the motion of the string is given by:

y =0.6e^{-1.8t}\cos(210\pi t)

(b)

Determine the amount of time t that it takes the string to be damped so that -0.24\leq y \leq0.24

Using graphing calculator for the equation

y =0.6e^{-1.8x}\cos(210\pi x)

let x = t (time in sec)  

Graph as shown below in the attachment:

we get:

the amount of time t that it takes the string to be damped so that -0.24\leq y \leq0.24 is, 0.5 sec


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3 years ago
What are the lengths of DE and EF. Answer with supporting work:
nataly862011 [7]
The length of DE is 39 and the length of EF is 36 because we can see from side AC and DF that triangle DEF is just triangle ABC dilated by 3.
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