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3 years ago

Pleaseeeee help !!!!

Mathematics

1 answer:

Dafna1 [17]3 years ago

5 0

Answer:

N=1

Step-by-step explanation:

1/2n+7=n+14/2

Multiply 2 on both sides to get rid of fraction

N+14=n+14

In this situation the answer is automatically 1

Check:

1/2(1)+7=1+14/2?

7 1/2= 7 1/2 ✔️

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Can someone help me? Please and thank you!

Viefleur [7K]

The perimeter of a rectangle can be found using the formula P = 2l + 2w, where l is the length and w is the width.

Here is what we know of the rectangle:

P = 68 in
l = 3w - 2

To find the length, plug 68 for P into P = 2l + 2w, and plug 3w - 2 for l in the same formula. Then solve algebraically for w.

P = 2l + 2w
68 = 2(3w - 2) + 2w
68 = 6w - 4 + 2w
68 = 8w - 4
72 = 8w
9 = w

Now that we have w, we can plug it into 3w - 2 to find l, length.

3w - 2
3(9) - 2
27 - 2
25

That makes our length 25 inches and our width 9 inches. (Don't forget to write units!) Let's plug everything back into the formula to check our work.

68 = 2(25) + 2(9)
68 = 50 + 18
68 = 68 -- This is true

Answer:
The length of the rectangle is 25 inches.

7 0

4 years ago

Juan claims that 3^8=6561. Becca claims that 3^8=24. Who is right?

____ [38]

Answer:

Juan

Step-by-step explanation:

3x8=24, but in this case, you are doing exponents. So you have to do this equation

3x3x3x3x3x3x3x3=6561

6 0

2 years ago

Identify the conic section represented by the equation: x2 + 2x + 2y2 – 12y + 11 = 0 2

wlad13 [49]

Answer:

Equation of the Ellipse

$\frac{(x+1)^{2} }{8} + \frac{(y-3)^{2} }{4} = 1$

Step-by-step explanation:

Step(i):-

Given that the equation

x² + 2 x + 2y² - 12 y +11 = 0

⇒ x² + 2 x + 1 - 1 + 2(y² - 6 y )+ 11 = 0

x² + 2 x + 1 - 1 + 2(y² - 2(3) y+9-9 )+ 11 = 0

⇒ x² + 2 x + 1 - 1 + 2(y² - 2(3 y ) + 3²- 3² ) + 11 = 0

By using (a +b)² = a² + 2 a b + b²

(a -b)² = a² - 2 a b + b²

Step(ii):-

x² + 2 x + 1 - 1 + 2(y² - 2(3 y ) + 3²- 3² ) + 11 = 0

⇒ ( x+1)² +2( y-3 )² - 1 - 2(9) +11 =0

⇒ ( x+1)² +2( y-3 )² - 8 =0

( x+1)² +2( y-3 )² = 8

Dividing '8' on both sides , we get

$\frac{(x+1)^{2} }{8} + \frac{2(y-3)^{2} }{8} = 1$

$\frac{(x+1)^{2} }{8} + \frac{(y-3)^{2} }{4} = 1$

This equation represents the Ellipse

3 0

3 years ago

Assume that the Poisson distribution applies to the number of births at a particular hospital during a randomly selected day. As

kakasveta [241]

Answer:

0.9999985 = 99.99985% probability that in a day, there will be at least 1 birth.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

Assume that the mean number of births per day at this hospital is 13.4224.

This means that $\mu = 13.4224$

Find the probability that in a day, there will be at least 1 birth.

This is:

$P(X \geq 1) = 1 - P(X = 0)$

In which

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-13.4224}*13.4224^{0}}{(0)!} = 0.0000015$

Then

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0000015 = 0.9999985
$

0.9999985 = 99.99985% probability that in a day, there will be at least 1 birth.

7 0

3 years ago

Andy completes the square for the function y = x^2 + 6x -8 Which of the following functions reveals the vertex of the parabola?

LiRa [457]

Answer:

B. y = (x + 3)^2 - 17

Step-by-step explanation:

When Andy completes the square, he adds and subtracts the square of half the x-coefficient. That is, he adds and subtracts (6/2)² = 9:

... y = x² +6x +9 -8 -9

... y = (x² +6x +9) -17

... y = (x +3)² -17 . . . . . . . . matches selection B

4 0

3 years ago

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