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Mazyrski [523]
3 years ago
5

Amanda is shipping a package, which is in the shape of a cube. To determine the cost of shipping, she must determine the side le

ngth of the packages She knows that the volume of the package is V cubic inches<br />
Which of the follow functions would best model this situation above? <br /><br />
Cube root<br />
Polynomial<br />
Piecewise<br />
Absolute Value
Mathematics
1 answer:
Vesna [10]3 years ago
3 0
By definition, the volume of a cube is given by:
 V = L ^ 3
 Where,
 L: cube side
 Clearing L we have:
 L = V ^ (1/3)
 Rewriting we have:
 L = 3 ^ root (V)
 Answer:
 
A function that would best model this situation above is:
 
Cube root
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Recall from Intermediate Algebra that two non-vertical lines are perpendicular if and only if they have negative reciprocal slop
OLEGan [10]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The line is y  =  -4 x

Step-by-step explanation:

From the question we are told that

The line is y  =  \frac{1}{4} x  + 8

The point is P(0,0 )

Generally the equation for a line is yn =  mx  + c

Now comparing this with the given equation we see that

m  =\frac{1}{4} =  slope

C  =8  =  intercept

Generally the slope of the perpendicular to the given line is mathematically evaluated as

m_1  = -  \frac{1}{m}

=> m_1  = -  \frac{1}{ \frac{1}{4}}

=> m_1  = -4

Generally from the univesal equation of a line and the given point we have that

y = mx + c at p(0,0) and m_1 =  -4 is

0 = -4 (0 ) + c

=> c = 0

Hence the equation perpendicular to the line given at the point given is

y  =  -4 x

8 0
3 years ago
In a certain fraction, the numerator is 4 less than the denominator. If 4 is added to both the numerator and the denominator , t
love history [14]

Answer:

Step-by-step explanation:

If the new fraction is 8/12 I will show how to find it.

Let's say the original denominator is x, then the numerator is x-4, so we have (x-4)/x.

Then it says f we add 4 to both, so now we have x/(x+4) this equals 8/12.  Now, keep in mind -4 cannot be an answer because it would make x/(x+4) be divided by 0 which wouldn't exist.

Now we just use algebra.

x/(x+4) = 8/12

12x = 8(x+4)

12x = 8x + 32

4x = 32

x = 8

So the original fraction (x-4)/x = (8-4)/8 = 4/8

5 0
3 years ago
A movie rental website charges $5.00 per month for membership and $1.25 per movie. How many movies did Andrew rent this month if
DiKsa [7]
13 movies because 16.25 divided by 1.25 equals 13.
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3 years ago
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Simplify. -3x = 50<br> a. -150<br> b. 150<br> c. 16 2/3<br> d. -16 2/3
Sedbober [7]

Answer:

\large\boxed{d.\ -16\dfrac{2}{3}}

Step-by-step explanation:

-3x=50\qquad\text{divide both sides by (-3)}\\\\\dfrac{-3x}{-3}=\dfrac{50}{-3}\\\\x=-16\dfrac{2}{3}

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