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4 years ago

If you mow 24 lawns and earn $10.50 for each lawn, what are your total earnings?

Mathematics

2 answers:

Bad White [126]4 years ago

4 0

24(10.50) = $252 <== ur earnings

rewona [7]4 years ago

4 0

10.50 times 24 will equal 252 dollars

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What is the next term in the sequence? 0.3,0.5,0.7....<br> A) 0.9<br> B)1.0<br> C)0.8<br> D)0.72

Alex_Xolod [135]

A its going up but 0.2 every time

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3 years ago

Approximately 30,300 citizens of a country died in automobile accidents in 2015. Express this toll in deaths per day

klio [65]

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3 years ago

Write (5i)2 as either an integer<br><br> or an integer multiple of I

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3 years ago

Given that y = sin(x+y),find the derivative when (x,y)=(π,0)

lisov135 [29]

<h2>Answer:</h2>

Shown in the explanation

<h2>Step-by-step explanation:</h2>

Recall that an implicit function is a relation given by the form:

$R(x_{1},\ldots, x_{n})=0$

Where $R$ is a function of two or more variables. In this case, that function is:

$y = sin(x+y)$

and is implicit because we can define it as:

$y-sin(x+y)=0$ having two variables.

So, let's take the derivative:

$\frac{d}{dx}\left(y\right)=\frac{d}{dx}\left(\sin \left(x+y\right)\right) \\ \\$

Applying chain rule:

$\frac{d}{dx}\left(\sin \left(x+y\right)\right)=\cos \left(x+y\right)\left(1+\frac{d}{dx}\left(y\right)\right)$

But:

$\frac{d}{dx}\left(y\right)=y'$

Therefore:

$y'=\cos \left(x+y\right)\left(1+y'\right)$

Isolating $y'$ :

$\frac{d}{dx}\left(y\right)=y'=\frac{\cos \left(x+y\right)}{1-\cos \left(x+y\right)}$

When $(x,y)=(\pi,0)$ :

$\frac{d}{dx}\left(y\right)|_{(\pi,0)}=\frac{\cos \left(\pi+0\right)}{1-\cos \left(\pi+0\right)} \\ \\ \frac{d}{dx}\left(y\right)|_{(\pi,0)}=\frac{\cos \left(\pi\right)}{1-\cos \left(\pi\right)} \\ \\ \frac{d}{dx}\left(y\right)|_{(\pi,0)}=\frac{-1}{1-(-1)} \\ \\ \boxed{\frac{d}{dx}\left(y\right)|_{(\pi,0)}=-\frac{1}{2}}$

4 0

3 years ago

4.3-1.4 (p+7)=-9.7<br> find the equivalent to p

anyanavicka [17]

4.3-1.4(p+7)=-9.7
4.3-1.4p-9.8=9.7
4.3-1.4p=0.1
-1.4p=-4.2
p=3

Hope this helps :)

4 0

3 years ago