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Elena L [17]
3 years ago
9

(10 points) Suppose an advance in technology in Macroland leads to an improvement in labor

Mathematics
1 answer:
lidiya [134]3 years ago
6 0

lol rofl

fghdagfkwheyin3unichfuwbvg

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Given the relationship x2 + 3y2 =12, with y > 0 and dx, dt = 2 units/min., find the value of dy, dt at the instant y = 1 unit
matrenka [14]
\bf x^2+3y^2=12\implies \stackrel{chain~rule}{2x\cfrac{dx}{dt}}+3 \stackrel{chain~rule}{\left(2y\cfrac{dy}{dt}\right)}=0
\\\\\\
2x\cfrac{dx}{dt}+6y\cfrac{dy}{dt}=0
\implies 
6y\cfrac{dy}{dt}=-2x\cfrac{dx}{dt}\implies \cfrac{dy}{dt}=\cfrac{-2x\frac{dx}{dt}}{
6y\frac{dy}{dt}}
\\\\\\
\boxed{\cfrac{dy}{dt}=-\cfrac{x\frac{dx}{dt}}{3y}}\\\\
-------------------------------

\bf \textit{now, when y = 1, what is \underline{x}?}\qquad x^2+3y^2=12\implies x^2+3(1)^2=12
\\\\\\
x^2=9\implies x=\sqrt{9}\implies x=3\\\\
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\begin{cases}
y=1\\
x=3\\
\frac{dx}{dt}=2
\end{cases}\implies \cfrac{dy}{dt}=-\cfrac{3\cdot 2}{3\cdot 1}\implies \cfrac{dy}{dt}=-2
7 0
3 years ago
Is -6.5 a rational number.<br><br> pls idk and I really need help
lara [203]

Answer:

-6.5 is a rational number.

7 0
3 years ago
Read 2 more answers
The sum of two numbers is 64 and their differences in 10. Find the numbers
uranmaximum [27]

Answer:

37 and 27

Step-by-step explanation:

Lets say that the two numbers are x and y. We get the equations x + y = 64 and x - y = 10. We can then add these two equations together to get, 2x = 74. Then we divide by two on both sides and get x = 37. We then plug this value back into the second equation and get that 37 - y = 10. We can simplify this and we get that y = 27. So our two numbers are 37 and 27.

4 0
2 years ago
Read 2 more answers
Help me answer this and explain it please! :)
Fynjy0 [20]

Answer:

90. 04987916

Step-by-step explanation:

Let HI be a

and GH be c

and GI be b

and <GHI be B

Using the law of Cosines,

b^2= -2ac cos (B) + c^2 + a^2

= -2(42)(60) cos (123)+60^2+42^2

= -5040 cos (123) +3600+1764

= -5040(-0. 544639035) +5364

= 2744. 980736+5364

b^2= 8108. 980736

b= Sqrt ( 8108. 980736)

b= 90. 04987916

7 0
3 years ago
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A pizza shop sells pizzas for $7.50 each plus $1.25 per topping. The total price of the pizza can be determined by the
drek231 [11]
The range is (10,11.5,12.5,13.75)
Enjoy your day, mi amor! ❤️
7 0
3 years ago
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