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3 years ago

A pack of 12 sodas cost $5.04. what is the unit rate in dollars per soda

Mathematics

1 answer:

artcher [175]3 years ago

8 0

Divide $5.04 among the 12 sodas.
(5.04/12)
Which makes it $0.42 per soda in the whole pack.

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40⋅8−10^2 what is the result

Liono4ka [1.6K]

Answer:

220

Step-by-step explanation:

40 x 8 = 320, and 10 squared is 100. 320 - 100 = 220.

7 0

3 years ago

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Find the variable of x. <br> 8x-2=-9+7x

TiliK225 [7]

Answer:

8x-2=-9+7x equals X=-7

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3 years ago

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Using interval notation, the domain off is [- 3, 5] and the domain of g is [- 2, 7] . On what domain is f defined

Scorpion4ik [409]

Note: I am assuming you mean ''on what domain is f+g is defined''.

Answer:

We conclude that

Dom(f+g) = [-2, 5]

Step-by-step explanation:

Given the domain of f

[-3, 5]

Given the domain of g

[-2, 7]

The domain of a composition f+g would include the intersection of both domains.

In other words, the domain of a composition f+g includes all the inputs of x-values that are in the domain of both functions i.e. f and g.

Domain of f = [-3, 5]

The x-values lie in the domain of f interval are:

x = -3, -2, 1, 0, 1, 2, 3, 4, 5

Domain of g = [-2, 7]

The x-values lie in the domain of g interval are:

x = -2, 1, 0, 1, 2, 3, 4, 5, 6, 7

Therefore, the common x-values in both f and g would be:

-2, 1, 0, 1, 2, 3, 4, 5

Thus, we conclude that

Dom(f+g) = [-2, 5]

3 0

3 years ago

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;

$y =0.6e^{-1.8t}\cos(2\pi 105t)$

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

(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

Three rectangular tables are placed end to end to form one long table 7.8 meters long. The lengths of two of the tables are 3.5

WARRIOR [948]

The length of the third smallest table is 1.6 because 7.8 is more than 3.5 and 3.5 is more than 1.6,

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3 years ago