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3 years ago

What is the value of x in the equation 25x^2 = 16?

Mathematics

1 answer:

Lera25 [3.4K]3 years ago

6 0

25x^2 = 16

divide each side by 25

x^2 = 16/25

take the square root of each side

sqrt (x^2) = +- sqrt(16/25)

x = +- sqrt(16)/sqrt(25)

x = +- 4/5

x = 4/5, - 4/5

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A rectangular computer table measures 30 inches by 50 inches. We need to cover it with square tiles. What is the side length of

jekas [21]

Answer:

a) 10*10 inch, b)yes, c) 15

Step-by-step explanation:

we need to calculate the Greatest Common Factor between 30 and 50

$30 = 2 \times 3 \times 5 \\ 50 = 2 \times 5 \times 5 \\ GCM = 2 \times 5 = 10$

then, the square tiles will be 10 inch *10 inch

b) it will change because they don't need to have the largest slab possible so they will use any other comon factor with a size they consider correct for the cheese.

$30 \div 10 = 3 \\ 50 \div 10 = 5 \\ 3 \times 5 = 15$

15 squares of 10inch*10inch of cheese could be cut.

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3 years ago

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

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

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

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

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

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3 years ago

jada goes to get her hair done the cost for a haircut and blowout is 65.42 she leaves a 25% tip for the stylist what is the tota

Art [367]

Answer:

The total cost is $81.78

Step-by-step explanation:

First lets calculate the tip

tip = cost * percent of tip

tip = 65.42*.25

tip = 16.355

Which rounds to 16.36 since we are working with money and round to the nearest cent

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= 65.42 +16.36

=81.78

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3 years ago

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Find the measure of a central angle that intercepts an arc of 81.5 cm in a circle whose radius is 16.3 cm.

Paul [167]

Answer:

5 rad

Step-by-step explanation:

Recall that the length of an arc of circumference is given by the formula:

$Arc\,Length=\theta\,*\,radius$ , where $\theta$ is the subtended angle [in radians] from the circumference's center.

Therefore in this case, you know the arc length (81.5 cm), and the radius (16.3 cm), and can solve for the angle $\theta$ using the above equation as shown below:

$Arc\,Length=\theta\,*\,radius\\81.5\,cm = \theta\,*\,16.3\,cm\\\frac{81.5}{16.3} = \theta\\\theta=5\,rad$

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3 years ago