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3 years ago

14

120% of it is 24. What is the number

1 answer:

leonid [27]3 years ago

6 0

Answer:

20

Step-by-step explanation:

1.2x = 24

x = 20

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Hi, help with question 18 please. thanks

Vadim26 [7]

Answer:

See Below.

Step-by-step explanation:

We are given the equation:

$\displaystyle y^2 = 1 + \sin x$

And we want to prove that:

$\displaystyle 2y\frac{d^2y}{dx^2} + 2\left(\frac{dy}{dx}\right) ^2 + y^2 = 1$

Find the first derivative by taking the derivative of both sides with respect to <em>x: </em>

<em /> $\displaystyle 2y \frac{dy}{dx} = \cos x$ <em />

Divide both sides by 2<em>y: </em>

<h3><em /> $\displaystyle \frac{dy}{dx} = \frac{\cos x}{2y}$ <em /></h3>

<em />

Find the second derivative using the quotient rule:

$\displaystyle \begin{aligned} \frac{d^2y}{dx^2} &= \frac{(\cos x)'(2y) - (\cos x)(2y)'}{(2y)^2}\\ \\ &= \frac{-2y\sin x-2\cos x \dfrac{dy}{dx}}{4y^2} \\ \\ &= -\frac{y\sin x + \cos x\left(\dfrac{\cos x}{2y}\right)}{2y^2} \\ \\ &= -\frac{2y^2\sin x+\cos ^2 x}{4y^3}\end{aligned}$

Substitute:

$\displaystyle 2y\left(-\frac{2y^2\sin x+\cos ^2 x}{4y^3}\right) + 2\left(\frac{\cos x}{2y}\right)^2 +y^2 = 1$

Simplify:

$\displaystyle \frac{-2y^2\sin x-\cos ^2x}{2y^2} + \frac{\cos ^2 x}{2y^2} + y^2 = 1$

Combine fractions:

$\displaystyle \frac{\left(-2y^2\sin x -\cos^2 x\right)+\left(\cos ^2 x\right)}{2y^2} + y^2 = 1$

Simplify:

$\displaystyle \frac{-2y^2\sin x }{2y^2} + y^2 = 1$

Cancel:

$\displaystyle -\sin x + y^2 = 1$

Substitute:

$-\sin x + \left( 1 + \sin x\right) =1$

Simplify. Hence:

$1\stackrel{\checkmark}{=}1$

Q.E.D.

8 0

3 years ago

Find the value of x.<br> 12<br> 6x - 6

Kaylis [27]

Answer:

x-

Step-by-step explanation:

8 0

3 years ago

Help please anyone?!‼️

hodyreva [135]

Answer:

-20.1 degrees Celsius

Step-by-step explanation:

The system started at -12.6 Celsius. It then cooled 7.5 degrees during a reaction. Because it cooled, that means the difference is negative.

-12.6 degrees Celsius - 7.5 degrees Celsius = -20.1 degrees Celsius

It is important to always remember your correct names and variables for numbers in chemistry!

7 0

4 years ago

Read 2 more answers

For which discoveries did Watson, Crick, and Wilkins receive Nobel Prizes? Check all that apply.

never [62]

Answer:

b

Step-by-step explanation:

4 0

4 years ago

If you had 2 pieces of licorice to share equally among 3 people, how much licorice would each person get? Show your thinking cle

kipiarov [429]

Answer:

If you have to share 2 by 3 equally then that is saying divide, when you divide you get .6666 but if you turn it into a fraction it 2 over 3

4 0

3 years ago