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snow_tiger [21]
2 years ago
10

I’ll give brainliest

Mathematics
1 answer:
Nat2105 [25]2 years ago
6 0

Answer:

x = -22

Step-by-step explanation:

6(x+15) = -42

x+15 = -7

x = -22

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A scientists finds the bones of a dinosaur. What could help the scientists determine the approximate age of the dinosaur bones?
Julli [10]

Answer: B, the index fossils in the area of the bones.

(I do need 1 more brainliest to rank up, so if my answer is correct, that would be great, sorry if I sound rude.)

5 0
2 years ago
Find thd <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D" id="TexFormula1" title="\frac{dy}{dx}" alt="\frac{dy}{dx}" a
NARA [144]

x^3y^2+\sin(x\ln y)+e^{xy}=0

Differentiate both sides, treating y as a function of x. Let's take it one term at a time.

Power, product and chain rules:

\dfrac{\mathrm d(x^3y^2)}{\mathrm dx}=\dfrac{\mathrm d(x^3)}{\mathrm dx}y^2+x^3\dfrac{\mathrm d(y^2)}{\mathrm dx}

=3x^2y^2+x^3(2y)\dfrac{\mathrm dy}{\mathrm dx}

=3x^2y^2+6x^3y\dfrac{\mathrm dy}{\mathrm dx}

Product and chain rules:

\dfrac{\mathrm d(\sin(x\ln y)}{\mathrm dx}=\cos(x\ln y)\dfrac{\mathrm d(x\ln y)}{\mathrm dx}

=\cos(x\ln y)\left(\dfrac{\mathrm d(x)}{\mathrm dx}\ln y+x\dfrac{\mathrm d(\ln y)}{\mathrm dx}\right)

=\cos(x\ln y)\left(\ln y+\dfrac1y\dfrac{\mathrm dy}{\mathrm dx}\right)

=\cos(x\ln y)\ln y+\dfrac{\cos(x\ln y)}y\dfrac{\mathrm dy}{\mathrm dx}

Product and chain rules:

\dfrac{\mathrm d(e^{xy})}{\mathrm dx}=e^{xy}\dfrac{\mathrm d(xy)}{\mathrm dx}

=e^{xy}\left(\dfrac{\mathrm d(x)}{\mathrm dx}y+x\dfrac{\mathrm d(y)}{\mathrm dx}\right)

=e^{xy}\left(y+x\dfrac{\mathrm dy}{\mathrm dx}\right)

=ye^{xy}+xe^{xy}\dfrac{\mathrm dy}{\mathrm dx}

The derivative of 0 is, of course, 0. So we have, upon differentiating everything,

3x^2y^2+6x^3y\dfrac{\mathrm dy}{\mathrm dx}+\cos(x\ln y)\ln y+\dfrac{\cos(x\ln y)}y\dfrac{\mathrm dy}{\mathrm dx}+ye^{xy}+xe^{xy}\dfrac{\mathrm dy}{\mathrm dx}=0

Isolate the derivative, and solve for it:

\left(6x^3y+\dfrac{\cos(x\ln y)}y+xe^{xy}\right)\dfrac{\mathrm dy}{\mathrm dx}=-\left(3x^2y^2+\cos(x\ln y)\ln y-ye^{xy}\right)

\dfrac{\mathrm dy}{\mathrm dx}=-\dfrac{3x^2y^2+\cos(x\ln y)\ln y-ye^{xy}}{6x^3y+\frac{\cos(x\ln y)}y+xe^{xy}}

(See comment below; all the 6s should be 2s)

We can simplify this a bit by multiplying the numerator and denominator by y to get rid of that fraction in the denominator.

\dfrac{\mathrm dy}{\mathrm dx}=-\dfrac{3x^2y^3+y\cos(x\ln y)\ln y-y^2e^{xy}}{6x^3y^2+\cos(x\ln y)+xye^{xy}}

3 0
2 years ago
8.35 &lt; 3x +18.75<br> Pls help
zzz [600]

Step-by-step explanation:

8.35 < 3x + 18.75

3x + 18.75 > 8.35

3x > 8.35 - 18.75

3x > -10.4

x > -3.47

5 0
3 years ago
Tabular representations for the functions f, g, and h are given below. Write g(x) and h(x) as transformations of f(x).
Leto [7]

Answer:

the answer for g is -3 that is all I know

4 0
2 years ago
Read 2 more answers
Is either x=5 or x=3 a solution to 11- x &lt;7
Aleks [24]

Answer:

<h2><em><u>x = 5</u></em></h2>

Explanation:

11 - x < 7

  • 11 minus a number is less than 7

<em>Insert 5 into the equation</em>

11 - 5 < 7

<em>Simplify</em>

6 < 7

  • This is true

<em>Insert 3 into the equation</em>

11 - 3 < 7

<em>Simplify</em>

8 < 7

  • This is false
<h3><u><em>x = 5 is a solution to the equation 11 - x </em></u><u>< 7</u></h3><h3><u /></h3>

- PacificNorthwest

3 0
3 years ago
Read 2 more answers
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