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Svet_ta [14]
3 years ago
6

maya is 3 years older than ned and 2 years younger than carla. ten yeras ago, carlas age was equal to the sum of the ages of ned

and maya. how old is each now
Mathematics
1 answer:
Marizza181 [45]3 years ago
6 0
Well carla right now is 15, Maya is 13 and ned is 10.
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Write an equation for the orbit of Saturn in the form x^2/a^2 + y^2/b^2 = 1
frozen [14]

Answer:

  x²/2166784 +y²/2159989 = 1

Step-by-step explanation:

The relationship between the semi-axes and the eccentricity of an ellipse is ...

  e = √(1 -b²/a²)

In order to write the desired equation we need to find 'b' from 'e' and 'a'.

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<h3>semi-minor axis</h3>

Squaring the equation for eccentricity gives ...

  e² = 1 -b²/a²

Solving for b², we have ...

  b²/a² = 1 -e²

  b² = a²(1 -e²)

<h3>ellipse equation</h3>

Using the given values, we find ...

  b² = 1472²(1 -0.056²) = 2166784(0.996864) ≈ 2159989

The desired equation is ...

  x²/2166784 +y²/2159989 = 1

7 0
2 years ago
The sum of 3 consecutive integers is 78. What is the integer closest to zero?
vova2212 [387]

Answer:

25

Step-by-step explanation:

Let n be the first integer.

Then the second integer will be (n + 1).

And the third will be (n + 2).

The sum is 78. Therefore:

n+(n+1)+(n+2)+78

Solve for n. Combine like terms:

3n+3=78

So:

3n=75

Therefore:

n=25

Therefore, the first integer is 25.

So our sequene is 25, 26, and 27.

The integer closest to zero will thus be 25.

5 0
2 years ago
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The next model of a sports car will cost 4.7% more than the current model. The current model costs $48,000. How much will the pr
Mashcka [7]

Answer:

increase - $2256

price - $50256

Step-by-step explanation:

multiply the percent (in decimal form) by the original cost

48000(0.47)=2256

the increase is $2256

to find the price of it, add the two prices together.

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andrey2020 [161]

Answer:

(3,0)

Step-by-step explanation:

7 0
2 years ago
If A and B are mutually exclusive events with P(A)= 0.3 and P(B)= 0.5, then P(A and B)=
arsen [322]

Answer:

P (A\ and\ B) = 0

Step-by-step explanation:

By definition if two events are mutually exclusive then they are disjoint events, that is, they can not occur at the same time.

In general terms we say that events are mutually exclusive, then:

P (A\ and\ B) = 0

In this case we have that

P(A)= 0.3\\\\P(B)= 0.5

But A and B are mutually exclusive events, then P (A\ and\ B) = 0

4 0
3 years ago
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