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2 years ago

Write the ratio as a fraction in simplest form. 35 girls : 15 boys

Mathematics

2 answers:

Nonamiya [84]2 years ago

7 0

Answer:7 girls for 3 boys

Step-by-step explanation:

Artist 52 [7]2 years ago

4 0

Answer: 7 girls for every 3 boys

Step-by-step explanation:

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5 (4z+6)-2(z-4)=2 (2w^2+7w-3)

love history [14]

If you are solving for "z", the answer is
z=2w^2+7w/10 -2

4 0

3 years ago

The figure is made up of a cylinder and a half sphere. What is the volume of the composite figure? Use 3.14 for Pi. Round to the

IceJOKER [234]

Answer:

351.68 millimeters for the cylinder and 8 23/75 millimeters for the half circle.

Step-by-step explanation:

Volume Cylinder = 3.14(16)(7) = 351.68

Volume Half sphere = 2/3(3.14)(4) = 8 23/75

If you want both of them together just add up the two numbers.

3 0

2 years ago

Read 2 more answers

I need help with number 4 please help and explain

Shtirlitz [24]

Are you trying to find the area?

7 0

2 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

Roy planted corn on 1/5of his land. If he planted45 acres of corn, how many acres of land doeshe have?(A) 90(B) 112 (1/2)(C) 135

melisa1 [442]

Correct option is C. He has 225 acres of land .

Let the Number of acres of land Roy have = x

As he planted corn on 1/5 of his land,

Number of acres of his land planted with corn = 1/5 × Number of acres of land Roy have

= x/5

As he planted 45 acres of his land with corn,

⇒ x/5

= 45

⇒x = 45 × 5

⇒x = 225

Therefore, number of acres of land Roy have is 225 .

To learn more about fraction from given link

brainly.com/question/78672

#SPJ4

4 0

1 year ago