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nirvana33 [79]
1 year ago
6

Function a(e) represents the surface area of a cube in terms of its edge length, e, and the difference quotient is 12e 6h. what

is the average rate of change in surface area of a cube as the edge length increases from 3 inches to 5 inches?
Mathematics
1 answer:
hram777 [196]1 year ago
6 0

<u> </u><u>48 square inches per inch </u><u> is the average rate of change in surface </u><u>area</u><u>.</u>

What is an area in math?

The area is the region bounded by the shape of an object. The space covered by the figure or any two-dimensional geometric shape, in a plane, is the area of the shape.

The surface area of a cube of side length e is:

A(e) = 6 *e².

The rate of change is:

A'(e) = 2 * 6 * e

The average rate of change between 3 in and 5 in is:

r  = (A(5in) + A(3in))/2 = (2*6*5in + 2*6*3in)/2 = 48in

Now, the options are given in:

"squere inches per inch"

This is written as:

in^2/in = in.

Then we can write our above rate as:

r = 48in = 48in^2/in = 48 square inches per inch.

Learn more about area

brainly.com/question/27683633

#SPJ4

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Combine Like Terms:<br><br> 5x – 2y + 12 z + 6y<br><br> SHOW WORK<br> will give brainliest
Tcecarenko [31]

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5x+4y+12z

Step-by-step explanation:

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6 0
3 years ago
Which ordered pair would form a proportional relationship with the point graphed below? (60,-20)
valentina_108 [34]

Given:

The graphed point is (60,-20).

To find:

The ordered pair that would form a proportional relationship with the given point.

Solution:

If y is proportional to x, then

y\propto x

y=kx

\dfrac{y}{x}=k

Where, k is the constant of proportionality.

For the given point,

k=\dfrac{-20}{60}

k=\dfrac{-1}{3}

For option (A),

k=\dfrac{30}{-10}

k=-3\neq \dfrac{-1}{3}

For option (B),

k=\dfrac{-15}{30}

k=-\dfrac{1}{2}\neq \dfrac{-1}{3}

For option (C),

k=\dfrac{10}{-30}

k=\dfrac{-1}{3}.

The point (-30,10) gives the same value of the constant of proportionality. So, the point (-30,10) forms a proportional relationship with the given point.

Therefore, the correct option is C.

7 0
3 years ago
The volume ( v) of a gas in a container at a constant temperature varies inversely as the pressure (p). If the volume of a gas i
andre [41]
The answer is 12.8 cm³

<span>The volume ( v) of a gas in a container at a constant temperature varies inversely as the pressure (p):
v = k/p
p * v = k  (k - constant)

p1v1 = k
p2v2 = k
So, p1v1 = p2v2

v1 = 24 cm</span>³
p1 = 16 lb
v2 = ?
p2 = 30 lb

24 * 16 = x * 30
384 = x * 30
x = 384 / 30
x = 12.8 cm³
3 0
3 years ago
Mary used one big bag of flour. She baked four loaves of bread.​ Then, she used the remaining flour to make 48 muffins. How much
algol [13]

Answer:

Amount of flour in the bag when Mary​ began = 4x+48y

Step-by-step explanation:

Given:

Number of baked loaves of bread made from flour = 4

Number of muffins made from flour = 48

To find: Amount of flour in the bag when Mary​ began

Solution:

Let x denotes amount of flour used to make one baked loave of bread and y denotes amount of flour used to make one muffin.

So,

Amount of flour used to make 4 baked loaves of bread = 4 x

Amount of flour used to make 48 muffins = 48 y

Amount of flour in the bag when Mary​ began = 4x+48y

3 0
3 years ago
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