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cupoosta [38]
3 years ago
14

A cube has a volume of 64 cubic meters what is the length of each edge

Mathematics
2 answers:
Murljashka [212]3 years ago
7 0

Answer:

The length of each side is 4 m

Step-by-step explanation:

The volume of a cube is given by

V = s^3 where s is the side length

64 = s^3

Take the cube root of each side

64 ^ (1/3) = s^3 ^ (1/3)

4 = s

The length of each side is 4 m

Rina8888 [55]3 years ago
4 0

Answer: 4 cubic meters

Step-by-step explanation:

The volume of a cube = a³

4³ = 64

So the length of each length has to be 4 cubic meters.

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The tangent of the graph of y=<img src="https://tex.z-dn.net/?f=e%5E%7Bax%7D" id="TexFormula1" title="e^{ax}" alt="e^{ax}" align
bearhunter [10]

a) The tangent to y=e^{ax} at x=p has slope

y' = ae^{ax} \implies y'(p) = ae^{ap}

and y=e^{ap} at this point. It passes through the origin, so its equation is

y - 0 = ae^{ap} (x - 0) \implies y = ae^{ap} x

It also passes through the point (p,e^{ap}) on the curve, so

y - e^{ap} = ae^{ap} (x - p) \implies y = e^{ap} + ae^{ap} x - ape^{ap}

By substitution,

ae^{ap} x = e^{ap} + ae^{ap} x - ape^{ap} \implies e^{ap} = ape^{ap} \implies ap=1 \\\\ \implies \boxed{p=\dfrac1a}

b) The normal to y=e^{ax} at x=2p has slope

-\dfrac1{y'(2p)} = -\dfrac1{ae^{2ap}} = -1 \implies ae^{2ap} = 1

It follows that

ae^{2ap} = ae^2 = 1 \implies \boxed{a = \dfrac1{e^2} \text{ and } p = e^2}

c) The tangent line equation is then

y = \dfrac1{e^2} e^1 x \implies \boxed{y = \dfrac xe}

7 0
2 years ago
Please help me "solve the system"&lt;br /&gt;&lt;br /&gt;<img src="https://tex.z-dn.net/?f=x%20%5E%7B2%7D%20%20%2B%20y%20%3D%207
SVEN [57.7K]

Equation 1: x² + y = 7

Equation 2: 3x + 7 = 9

Use Equation 2 to solve for "x" and plug in "x" into Equation 1 to solve for "y".

3x + 7 = 9

3x = 2

x = \frac{2}{3}

*********************************

x² + y = 7

(\frac{2}{3})² + y = 7

\frac{4}{9} + y = 7

y = 7 - \frac{4}{9}

y = \frac{63}{9} - \frac{4}{9}

y = \frac{59}{9}

Answer: (\frac{2}{3}, \frac{59}{9})




3 0
3 years ago
Jade has $60. She wants to buy some movies that cost $11 each. Jade wants to have at least $20 remaining.
Anni [7]

Answer:

60-11x < 20

Step-by-step explanation:

Let's first set out all the information we know.

  • Jade has only $60, so we cannot go above the amount she has.
  • Each movie costs $11
  • She wants at LEAST $20 remaining  

So, the first thing that will be in the inequality would be $60. Since you are wasting money, you have to subtract.

The thing that will be subtracted more than once is $11, so it will have the variable "x" added to it.

What we have so far is:

60-11x

Because this is an inequality, we will have a less than sign.

After that, we can conclude that $20 will come next because that is at the end of the problem.

So, the answer is:

60-11x < 20

5 0
3 years ago
The perimeter of a rectangle is found by multiplying the sum of the length, shown as I,
zhannawk [14.2K]

Answer:

  B.  2(20 + w) < 57

Step-by-step explanation:

Only choices B and D show something "less than 57". Of those, only choice B shows a sum of length and width.

7 0
3 years ago
Convert please
dezoksy [38]
<h3>Answer:</h3>
  1. 3,8 kg
  2. 750 g
  3. 7,47 g
<h3>Step-by-step explanation:</h3><h3>3800 g => kg</h3>

(3800 ÷ 1000) kg

= 3,8 kg

<h3>¾ kg => g</h3>

(3 ÷ 4)kg × 1000

= 0.75 × 1000

= 750 g

<h3>7470 g => kg</h3>

(7470 ÷ 1000) kg

= 7,47 kg

4 0
3 years ago
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