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emmasim [6.3K]
3 years ago
6

Sodium chlorate crystals are easy to grow in the shape of cubes by allowing a solution of water and sodium chlorate to evaporate

slowly. If v is the volume of such a cube with side length x, calculate the derivative when x = 4 mm.
Mathematics
1 answer:
Setler79 [48]3 years ago
6 0

Answer:

48 mm ^ 2

Step-by-step explanation:

We know we have a cube of side x, therefore the volume of that cube will be equal to:

V = x ^ 3, because it is a cube and each side is the same.

Now the derivative of the volume with respect to the length (that is, x) would be:

dV / dx = 3 * (x ^ 2)

They tell us that x takes a value of 4, replacing we have:

dV / dx = 3 * (4 ^ 2) = 48

That is, 48 mm ^ 2 would be the value of dV / dx when x is equal to 4 mm.

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Jet001 [13]

Answer:

In a sporting event, the scoring area (shown here) consists of four concentric circles on the ice with radii of 6 inches, 4 feet, 6 feet, and 7 feet. If a team member lands a (43-pound) stone randomly within the scoring area, find the probability that it ends up centered on the given color. (a) red (b) white (c) blue (a) The probability that it ends up centered on red is (Type an integer or a simplified fraction.) (b) The probability that it ends up centered on white is (Type an integer or a simplified fraction.) (c) The probability that it ends up centered on blue is (Type an integer or a simplified fraction.) of the answer boxes

7 0
3 years ago
The news reported that inflation will rise
statuscvo [17]

Answer:

  $1,500

Step-by-step explanation:

A 2.5% increase in the $60,000 average family income would be required:

  0.025 × $60,000 = $1,500

Your annual income would have to increase by $1,500.

4 0
3 years ago
Question 2 (1 point)<br> How much does the prefix milli multiply the value of a base unit?
I am Lyosha [343]

Answer:1000

Step-by-step explanation:

                                     

7 0
4 years ago
What is the inverse of the function f(x) = 2x + 1?
charle [14.2K]

Answer:

f^{-1} (x) = \frac{x-1}{2}

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = 2x + 1 ( subtract 1 from both sides )

y - 1 = 2x ( divide both sides by 2 )

\frac{y-1}{2} = x

Change y back into terms of x with x = f^{-1} (x) , so

f^{-1} (x) = \frac{x-1}{2}

4 0
4 years ago
Read 2 more answers
Caisha has a circular garden with a radius of 4 ft. She needs to put a layer of soil on top. Each bag of soil covers 9.42 square
vovikov84 [41]

Answer:

6 bags

Step-by-step explanation:

<em>Hey there!</em>

Well first we need to find the area of the circle using,

π r^2

4*4 = 16

16 * pi ≅ 50.27

So now to find how much bags needed we do,

50.27 ÷ 9.42 = 5.34

Meaning 6 bags of soil is needed.

<em>Hope this helps :)</em>

5 0
3 years ago
Read 2 more answers
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