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3 years ago

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You are purchasing carpeting for an office building. The space to be carpeted is 30 feet by 50 feet. Company A charges $2.99 per

square foot plus a $200 installation charge. Company B charges $19.99 per square yard plus a $500 installation charge.

1 answer:

pishuonlain [190]3 years ago

4 0

The Answer is $5 = $20(x<span>)!!!!!!!!!!!!!!!!!!!!!!!!</span>

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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

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

using the equation of line:

$(y-y_1)=m(x-x_1)$

we'll find the equation of the tangent line.

here (x1,y1) =(-1,1/e), and m = 3/e

$(y-\dfrac{1}{e})=\dfrac{3}{e}(x+1)\\y=\dfrac{3x}{e}+\dfrac{3}{e}+\dfrac{1}{e}\\$

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

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

3 0

3 years ago

Find the length of the radius of a sphere with a surface area of 5541.77 cm2.

ladessa [460]

The area of a sphere: A = 4.π.R²

A= 5541.77 → 5541.77 = 4.π.R²

R² = (5541.77)/(4.π)
R² = 441; → R =√441; R = 21 cm

6 0

3 years ago

WILL MARK AS BRAINLIEST

Alex Ar [27]

I’m guessing it’s the first one

4 0

3 years ago

A culture of yeast doubles in size every four hours. If the yeast population is estimated to be three million now, what will it

Bess [88]

It doubles every 4 hours, so after 24 hours there will be 6 doublings.
2^6 = 64
So, the population will be (3,000,000 * 64) or 192,000,000 in 24 hours.
The answer is B.

4 0

3 years ago

Read 2 more answers

Find the values of the variables, giving brief reasons for your answers.

Yuki888 [10]

Answer:

55

Step-by-step explanation:

Because of the parallel lines (marked by those arrows) we know that the corner angles are the same:

110 - x = x so

110 = 2x

55 = x

4 0

3 years ago