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erik [133]
3 years ago
5

What goes in the space? (3x − ...)2 = 9x2−6x+1 I will give points and brainliest!

Mathematics
1 answer:
Crazy boy [7]3 years ago
6 0

{(x - y)}^{2}  =  {x}^{2}  - 2xy +  {y}^{2}

(3x - ...)^{2}  = 9 {x}^{2}  - 6x + 1 \\  {(3x - 1)}^{2}  = 9 {x}^{2}  -6x + 1

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For the differential equation dy/dt=ky, k is a constant, y(0)=24, and y(1)=18. What is the value of k?
Gre4nikov [31]

The equation is separable, so solving it is trivial:

\dfrac{\mathrm dy}{\mathrm dt}=ky\implies\dfrac{\mathrm dy}y=k\,\mathrm dt

Integrating both sides gives

\ln|y|=kt+C\implies y=e^{kt+C}=Ce^{kt}

Given y(0)=24 and y(1)=18, we find

24=C

18=Ce^k=24e^k\implies e^k=\dfrac34\implies k=ln\dfrac34

so the answer is E.

8 0
3 years ago
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John borrows $6.50 from his friends to pay for snacks, and $11.75 from his sister to go to the movies how much money does he nee
Nina [5.8K]

John has borrowed $6.50 from his friends and $11.75 from his sister. To find how much money he needs to repay you can just add up the amount of money he has borrowed.

Make an equation to solve for this, where x = amount of money John needs to repay. Make the amount of money John borrowed add up to x. Your equation should look like:

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Combine like terms (add 6.50 and 11.75).

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After solving the equation, you have figured out that John need to repay $18.25 in total.

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3 years ago
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A cup has a circumference of 28 cm. Approximately what is the diameter?
Ainat [17]

Answer:

The diameter is approximately 8.9 cm

Step-by-step explanation:

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castortr0y [4]

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36 cm

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A block of wood has a mass of 120g and a volume of 200cm3. What is the density of the wood?
ozzi
Density=mass/volume
given mass=120g and volume=200cm3
density=\frac{120g}{200cm^3}=\frac{3}{5} \space\ \frac{g}{cm^3} or abot 0.6


the density is 0.6 \space\ \frac{g}{cm^3}
3 0
3 years ago
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