What is the median of 10 31 36 36 38 42 47 48 49 52

One sanctuary had 180 green sea turtles come ashore to lay eggs last year. This year, the number

r-ruslan [8.4K]

Answer:

216

Step-by-step explanation:

180 times .2 (20 percent in decimal form) = 36

36+180=216

3 0

3 years ago

Madison saves 40% of all that she earns for washing cars. So far she has saved $72 . How much has she earned in all?

UkoKoshka [18]

Answer:

40% = 72

divide both sides by 40 to find 1%

1% = 1.8

now multiply by 100 to find total amount earned

100% = 180

total earned $180

7 0

3 years ago

Which questions can be answered by finding the surface area? Check all that apply.

True [87]

Answer:

Step-by-step explanation:

Surface area is pretty synonymous with area.

How much paint is needed to paint the outside of a birdhouse?

Paint is measured in volume, so not surface area

How much wallpaper is needed to cover the walls of your room?

Since its just the walls its not total surface area, but surface area of the walls.

How much water will it take to fill a rectangular container?

water is measured in volume, especially when wanting to fill something.

How much topsoil can a gardener place in his wheelbarrow?

Wants to know how much topsoil is needed to FILL the wheelbarrow, filling is volume. So not surface area.

How much fabric is needed to make a pillowcase for a pillow?

Not asking to fill the pillowcase, just how much is needed for the thin, one layer thick case. So this is surface area.

3 0

2 years ago

The given triangles are similar. Solve for x.

Maru [420]

The first one is 21.93 rounded up to 22.

8 0

3 years ago

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