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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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Eliminating Fractions from Equations
garri49 [273]

Answer:

12 is the best answer

I think

7 0
3 years ago
19. The temperatures at sunrise and sunset<br> are shown in the table
Likurg_2 [28]

The temperature change on the second day is greater than the temperature change on the first day.

<h3>What is temperature change?</h3>

The term temperature change refers to the difference in the temperature between the sunrise and the sunset. The temperature at sunrise and sunset are shown in the table attached to this answer.

The change in temperature on the first day is;

13.49 - (-11.31) = 24.80

The change in temperature on the second day is;

25.25 - (-7.69) = 32.94

Thus, the temperature change on the second day is greater than the temperature change on the first day.

Learn more about temperature change:brainly.com/question/11186605

#SPJ1

8 0
2 years ago
Please help , giving brainliest .
AysviL [449]

Answer:

363.22

Step-by-step explanation:

<u>Method 1: </u>

You could find the whole figure surface area than divided by 1/2

<u>Method 2:</u> (the one I'm going to personally be doing)

Break the figure into two rectangular figures

Formula for surface area of rectangular prism:

A = 2(width x length + height x length + height x width)

Figure 1:

A = 2(width x length + height x length + height x width)

height = 3.8 yd

length = 10.1 yd

width = 4.3 yd

A = 2((4.3) x (10.1) + (3.8) x (10.1) + (3.8) x (4.3))

A = 2(98.15)

A = 196.3

Figure 2:

A = 2(width x length + height x length + height x width)

height = 8.4 yd

length = 10.1 yd

width = 2 yd

A = 2((2) x (10.1) + (8.4) x (10.1) + (8.4) x (2))

A = 2(121.84)

A = 243.68

There is overlapping surface area that shouldnt be include so we need to subtract it...

<u>For one face of figure 1</u>

3.8 x 10.1 = 38.38

Total:

Figure 1 + Figure 2 - 2(one face)

196.3 - 38.38 = 157.92

243.68 - 38.38 = 205.3

205.3 + 157.92 = 363.22

7 0
2 years ago
Robert ran 0.5 miles on July 1st. Each day thereafter, he ran 0.3 miles more than the previous day. Find
marissa [1.9K]

the anser is 244.9

hope this helps, you need more help ask me.

4 0
3 years ago
What is the correct answer NEED ASAP PLEASE ​
Rudik [331]

Answer:

1 solution

Step-by-step explanation:

x^2 - 14x + 49 = 0

Factor the expression:

                 x     -     7

           ------------------------

  x       |    x^2   |    - 7x   |

  -        ------------------------

  7       |   - 7x    |    49     |

            ------------------------

(x - 7)^2 = 0

x - 7 = 0

x = 7

8 0
2 years ago
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