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mixer [17]
3 years ago
12

Let the polynomials A = 7x² + 3xy and B = -3xy .

Mathematics
1 answer:
bija089 [108]3 years ago
7 0

Answer:

– 21x^3 y – 9x^2 y^2 e) is your answer

Step-by-step explanation:

Solve the following system for A and B:

{A = 7 x^2 + 3 x y

B = -3 x y

Express the system in matrix form:

(1 | 0

0 | 1)(A

B) = (7 x^2 + 3 x y

-3 x y)

Write the system in augmented matrix form and use Gaussian elimination:

(1 | 0 | 7 x^2 + 3 x y

0 | 1 | -3 x y)

Collect results:

Answer: {A = 7 x^2 + 3 x y  , B = -3 x y

then we multiply the results (7 x^2 + 3 x y) ( -3 x y) =  – 21x^3 y – 9x^2 y^2

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a 4.50 g coin of copper absorbed 54 calories of heat. what was the final temperature of the copper if the initial temperature wa
I am Lyosha [343]

The final temperature of copper is 155.43°C.

Step-by-step explanation:

The formula to apply is Q=m*Δt*c where ;

Q=heat energy, m=mass, c=specific heat capacity and Δt= change in temperature

Given that Q=54 calories , m=4.50 g and c=0.092 cal/g°C

In this question find Δt then ,the final temperature.

Δt=Q/m*c

Δt=54/4.50*0.092 =130.43°C

To find final temperature, apply the formula;

Δt=Final temperature - Initial temperature

130.43°C=Final temperature-25°C

130.43°C+25°C=Final temperature

155.43°C

Learn More

Specific Heat Capacity : brainly.com/question/12431744

Keyword : specific heat capacity

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3 0
4 years ago
Pls help with this math
Salsk061 [2.6K]

Answer:

44.58

Step-by-step explanation:

v=\frac{4}{3}\pi r^{3}\\ given r= 2.2\\\pi =3.14\\hence:v=\frac{4}{3}  (3.14)(2.2)^3=44.58

5 0
2 years ago
Every jump a game piece makes measures 8/9 . The piece starts at point A = 7 and jumps to the right. As soon as the piece jumps
frutty [35]

Answer:

There will be a total 40 jumps.

Step-by-step explanation:

Every jump a game piece makes measures \frac{8}{9} = 0.889.

Now, the piece starts at point A = 7 and jumps to the right.

So, the piece will jump over B = 24  after \frac{24 - 7}{0.889} = 19.122 ≈ 20 complete jumps.

Then it switches direction to the left and the piece then stops at point A.

So, there will be a total (20 + 20) = 40 jumps. (Answer)

4 0
3 years ago
The rate at which a quantity of a radioactive substance decays is proportional to the quantity of the substance. The constant of
Butoxors [25]

Answer:

\frac{dN}{dt} = λN           N(0) = 6

N(t) = N₀e^(λt)

Applying the inital value condition

N(t) = 6e^(λt)

Step-by-step explanation:

Summarizing  the information briefly and stating the  variables in the problem.

t = time elapsed during the decay

N(t) = the amount of the radioactive substance remaining after time t

λ= The constant of proportionality  is called the decay constant or decay rate

Given the initial conditions

N(0) = N₀ = 6

The rate at which a quantity of a radioactive substance decays (\frac{dN}{dt}) is proportional to the quantity of the substance (N)  and λ is the constant of proportionality  is called the decay constant or decay rate :

\frac{dN}{dt} = λN          

N(t) = N₀e^(λt) ......equ 1

substituting the value of  N₀ = 6 into equation 1

N(t) = 6e^(λt)

3 0
3 years ago
(NEED DONE QUICK) Two angles are supplementary. One of the angles measures 4(2x+9) and the other angle measures 2(4x-8) what is
Studentka2010 [4]

Answer:

x=10

Step-by-step explanation:

Supplementary angles are angles equal to 180°.

Therefore:

4(2x+9)+2(4x-8)=180

Now that we have our equation, let's distribute the 4 and the 2 into the parentheses they are next to:

8x+36+8x-16=180

Combine like terms:

16x+20=180

Subtract 20 from both sides of the equation:

16x=160

Divide by the coefficient of x, which is 16:

x=10

~

Check your work by substituting 10 into one of the equations above:

8(10)+36+8(10)-16=180

80+36+80-16=180

180=180

It's correct!

6 0
3 years ago
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