What is the definition of a perfect cube?

1 answer:

3 0

The definition of a perfect cube is a number that is the result of multiplying an integer by itself three times
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The equation sin(40o) = can be used to determine the length of line segment AC. What is the length of ? Round to the nearest ten

I am Lyosha [343]

The answer:
For more explanation please look at the image.
according to the image, the length of line segment AC can be found as
the following method shows:

sin(40°)= opposite side / hypotenuse, opposite side = b, hypotenuse = AB= 20cm
sin(40°)= b / 20 and this applies, b = 20 x sin(40°) = 0.64*20 = 12.85 cm
AC= 12.85 cm

8 0

3 years ago

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The number of patients treated at Dr. White's dentist office each day for nine days is 10, 6, 4, 15, 6, 8, 6, 15, 4. Find the me

Umnica [9.8K]

Mean: 60.6666
Median: 6
Mode: 6

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4 0

3 years ago

Triangle KLM has vertices K(3, −5) , L(6, −5) , and M(2, −9) .

Leno4ka [110]

Answer:

The answer is below. Sorry that this is late.

Step-by-step explanation:

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2 years ago

Finding an Equation of a tangent Line in Exercise, find an equation of the tangent line to the graph of the function at the give

frutty [35]

Answer:

$y=\dfrac{3x}{e}+\dfrac{4}{e}$

this is the equation of the tangent at point (-1,1/e)

Step-by-step explanation:

to find the tangent line we need to find the derivative of the function g(x).

$g(x) =e^{x^3}$

we know that $\frac{d}{dx}(e^{f(x)})=e^{f(x)}f'(x)$

$g'(x) =e^{x^{3}}(3 x^{2})$

$g'(x) =3 x^{2} e^{x^{3}}$

this the equation of the slope of the curve at any point x and it also the slope of the tangent at any point x. hence, g'(x) can be denoted as 'm'

to find the slope at (-1,1/e) we'll use the x-coordinate of the point i.e. x = -1

$m =3 (-1)^{2} e^{(-1)^{3}}\\m =3e^{-1}\\m=\dfrac{3}{e}$