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Margaret [11]
3 years ago
9

Changing Volume If each edge of a cube is increasing at the constant rate of 3 centimeters per second, how fast is the volume in

creasing when x, the length of an edge, is 10 centimeters long?
Mathematics
1 answer:
timofeeve [1]3 years ago
4 0
Calculus! First one I've seen here! Take the derivative of the volume of a cube. Volume is V = s^3, dV = 3s^2 ds when s = 10 and ds = 3.  I think you used x. Anyway, in the derivative fill in the s with a 10 and the ds (rate of change) is 3. So dV = 3(10)^2 * 3
     dV = 600 cm per second
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The locations, given in polar coordinates, for two ships are (8 mi, 63º) and (8 mi, 123º). Find the distance between the two shi
PolarNik [594]
The arrangement forms an isosceles triangle with equal legs of 8 mi. The angle between the legs is,

123-63 = 60°. Therefore, the other two angles ares:

Angles = (180-60)/2 = 120/2 = 60°

It can therefore be noted that all angles are equal and thus the resulting triangle is actual an equilateral triangle and thus all the sides are equal.

It can be concluded that the ships are 8 miles apart.
8 0
3 years ago
Read 2 more answers
PAGE 6
Ann [662]

a) A mathematical equation that represents the total cost, t, for a adult tickets and c child tickets is t = $5a + $3c.

b)No, she cannot buy 2 adult tickets and 7 child tickets.

<h3>Define equation.</h3>

Mathematical equations are relationships between two expressions that are equal on both sides of the equal to sign. An equation is, for instance, 3y = 16.

Given,

Maymont Middle School is selling tickets for the winter musical. Adult tickets cost $5 each and child tickets cost $3 each.

a) Mathematical equation:

represents the total cost, t, for a adult tickets and c child tickets

t = $5a + $3c

A mathematical equation that represents the total cost, t, for a adult tickets and c child tickets is t = $5a + $3c.

b) Ciera has $28.

a = 2 c = 7

Equating values in equation,

= $5(2) + $3(7)

= $10 + $27

= $37

No, she cannot buy 2 adult tickets and 7 child tickets.

To learn more about equation, visit:

brainly.com/question/10413253

#SPJ1

4 0
1 year ago
Please help me I don’t understand this at all
ZanzabumX [31]

A, C, and D are the answers.

4 0
3 years ago
Read 2 more answers
Geometry math question no Guessing and Please show work
djverab [1.8K]

The scale factor is -2. The answer is choice A

------------------------------------------------

How did I get this answer? By picking any pair of preimage and corresponding image points. Let's pick on preimage point A and its paired image value A'.

Note how the x coordinate jumps from -11 to +22. So we multiplied by -2 to do this jump. We can see that 22/(-11) = -2 is another way to get this. Similarly, the same happens to the y coordinates as well: -14/7 = -2.

In short, you multiply the preimage coordinate by the scale factor -2 to get the corresponding image coordinates. Points B and C will follow the same pattern.


7 0
2 years ago
If FX) = 3x+6, which of the following is the inverse of Fx)?
LenaWriter [7]

Answer:

C. F'(x) = x - 6 / 3

Step-by-step explanation:

y = 3x + 6

x = 3y + 6 \\ x - 6 = 3y + 6 - 6

\frac{x - 6}{3}  =  \frac{3y}{3}

y =  \frac{x - 6}{3}

f1 =  \frac{x - 6}{3}

6 0
2 years ago
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