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3 years ago

What is the diameter of a circular swimming pool with a radius of 9 feet? Enter only the number

Mathematics

2 answers:

antiseptic1488 [7]3 years ago

8 0

Answer:d=18FT

Step-by-step explanation:

YOUR WELCOM :)

11111nata11111 [884]3 years ago

5 0

The diameter is double the radius of the circle. So you would do 9*2 = 18 feet.

The question only asks for the number though so you can just enter 18.

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How do I solve x(3x-17)=0 using the square root property

scZoUnD [109]

Answer:

x = 0 or $x = \frac{17}{3}$

Step-by-step explanation:

We have the quadratic equation of variable x and we have to solve the equation using the square root property.

Now, we have x(3x - 17) = 0

⇒ 3x² - 17x = 0

⇒ $3(x^{2} - \frac{17}{3}x ) = 0$

⇒ $x^{2} - 2 \times (\frac{17}{6}) \times x + (\frac{17}{6} )^{2} = (\frac{17}{6} )^{2}$

⇒ $(x - \frac{17}{6})^{2} = (\frac{17}{6} )^{2}$

Now,square rooting both sides we get,

$x - \frac{17}{6} = \pm\frac{17}{6}$

Therefore, either x = 0 or $x = \frac{17}{3}$ (Answer)

8 0

2 years ago

What is the exponential regression equation that fits these data?

zlopas [31]

Answer:

Option B) $y = (1.31)(2.8^{x})$ is the correct option.

Step-by-step explanation:

<em>Exponential function is the one where, a constant is raised to the power of x, a independent variable.</em>

Here, only option B and D are such exponential functions, while option A is linear and option C is quadratic in nature.

Now, to verify which option is correct, we will input the values and check which has the least difference between the given values.

Or we can use the cost function,

$J = \frac{((y(i))-y)^2}{2m}$ , to find which function has the least error.

By applying the above results,we find Option B is correct.

6 0

3 years ago

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4. Which symbols are represented by an open circle on the number line? (Select all that apply.)

Neko [114]

Answer:

The first and second choice since those symbols are the ones that apply to open circle on the number line and the 2 last ones are closed circles

Step-by-step explanation:

3 0

3 years ago

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Find the differential coefficient of <br><img src="https://tex.z-dn.net/?f=e%5E%7B2x%7D%281%2BLnx%29" id="TexFormula1" title="e^

Gemiola [76]

Answer:

$\rm \displaystyle y' = 2 {e}^{2x} + \frac{1}{x} {e}^{2x} + 2 \ln(x) {e}^{2x}$

Step-by-step explanation:

we would like to figure out the differential coefficient of $e^{2x}(1+\ln(x))$

remember that,

the differential coefficient of a function y is what is now called its derivative y', therefore let,

$\displaystyle y = {e}^{2x} \cdot (1 + \ln(x) )$

to do so distribute:

$\displaystyle y = {e}^{2x} + \ln(x) \cdot {e}^{2x}$

take derivative in both sides which yields:

$\displaystyle y' = \frac{d}{dx} ( {e}^{2x} + \ln(x) \cdot {e}^{2x} )$

by sum derivation rule we acquire:

$\rm \displaystyle y' = \frac{d}{dx} {e}^{2x} + \frac{d}{dx} \ln(x) \cdot {e}^{2x}$

Part-A: differentiating $e^{2x}$

$\displaystyle \frac{d}{dx} {e}^{2x}$

the rule of composite function derivation is given by:

$\rm\displaystyle \frac{d}{dx} f(g(x)) = \frac{d}{dg} f(g(x)) \times \frac{d}{dx} g(x)$

so let g(x) [2x] be u and transform it:

$\displaystyle \frac{d}{du} {e}^{u} \cdot \frac{d}{dx} 2x$

differentiate:

$\displaystyle {e}^{u} \cdot 2$

substitute back:

$\displaystyle \boxed{2{e}^{2x} }$

Part-B: differentiating ln(x)•e^2x

Product rule of differentiating is given by:

$\displaystyle \frac{d}{dx} f(x) \cdot g(x) = f'(x)g(x) + f(x)g'(x)$

let

$f(x) \implies \ln(x)$
$g(x) \implies {e}^{2x}$

substitute

$\rm\displaystyle \frac{d}{dx} \ln(x) \cdot {e}^{2x} = \frac{d}{dx}( \ln(x) ) {e}^{2x} + \ln(x) \frac{d}{dx} {e}^{2x}$

differentiate:

$\rm\displaystyle \frac{d}{dx} \ln(x) \cdot {e}^{2x} = \boxed{\frac{1}{x} {e}^{2x} + 2\ln(x) {e}^{2x} }$

Final part:

substitute what we got:

$\rm \displaystyle y' = \boxed{2 {e}^{2x} + \frac{1}{x} {e}^{2x} + 2 \ln(x) {e}^{2x} }$

and we're done!

6 0

3 years ago

What is the perimeter of this polygon? Round your answer to the nearest<br> tenth

bulgar [2K]

Answer:

Step-by-step explanation:

pythagorean theorem

A^2+B^2=C^2 do that for all sides then add

6 0

2 years ago

Read 2 more answers