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VLD [36.1K]
3 years ago
8

Find the coordinates of the fourth vertex that completes the construction of the rectangle on the coordinate plane.

Mathematics
1 answer:
Marizza181 [45]3 years ago
4 0
It’s C.
Just complete the rectangle. You’ll get it.
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What is the sum of the geometric sequence -4 24 -144 if there are 8 terms
almond37 [142]

The correct answer is 959,780.

In order to find this, we need to first find all the first 8 terms of the series. Each term is the previous term multiplied by -6. This gives us the following terms.

-4

-4*-6 = 24

24*-6 = -144

-144*-6 = 864

864*-6 = -5,184

-5,184*-6 = 31,104

31,104*-6 = -186,624

-186,624*-6 = 1,119,744

Now we add all those together and get our answer.

-4 + 24 - 144 + 864 - 5,184 + 31,104 - 186,624 + 1,119,744 = 959,780

8 0
3 years ago
Solve these recurrence relations together with the initial conditions given. an = an−1 + 6an−2 for n ≥ 2, a0 = 3, a1 = 6
liberstina [14]

Answer:

Please see attachment

Step-by-step explanation:

Please see attachment

7 0
3 years ago
Assume the random variable x is normally distributed with mean p= 80 and standard deviation o = 4. Find the indicated probabilit
taurus [48]

This question is incomplete, the complete question is;

Assume the random variable x is normally distributed with mean p = 80 and standard deviation σ = 4.

Find the indicated probability.  P(67 < x < 72)

(Round to four decimal places as needed.)

Answer:

the indicated is 0.0222

Step-by-step explanation:

Given the data in the question;

mean μ = 80

standard deviation σ = 4

p ⇒ P ( x -μ  / σ )

so

P(67 < x < 72) ⇒ P( 67-80 / 4 ) < P( x -μ  / σ )  < P( 72-80 / 4 )

P(67 < x < 72) ⇒ P( -13 / 4 ) < P( x -μ  / σ ) < P( -8 / 4 )

P(67 < x < 72) ⇒ P( -13 / 4  < z < -8 / 4 )

P(67 < x < 72) ⇒ P( -3.25  < z < -2 )

⇒ P( z < -2 ) - P( z < -3.25)

Now from z table;

⇒ 0.02275 - 0.00058

P(67 < x < 72) ⇒ 0.02217 ≈ 0.0222  { four decimal places }

Therefore, the indicated is 0.0222  

8 0
3 years ago
Can anyone help?? I don't understand.
Andrews [41]
If the height and base are equal, that simply means that b = h, or h = b

and we know the area is 18 m²

\bf \textit{area of a triangle}\\\\&#10;A=\cfrac{1}{2}bh\qquad &#10;\begin{cases}&#10;b=h\\&#10;A=18&#10;\end{cases}\implies 18=\cfrac{1}{2}\cdot h\cdot  h\implies 18=\cfrac{h^2}{2}&#10;\\\\\\&#10;36=h^2\implies \sqrt{36}=h
6 0
4 years ago
Maggie wants to buy a new energy­efficient refrigerator. Her old refrigerator uses about 1200 kWh per year,while the new one wou
romanna [79]

Answer:

800 Kwh

Step-by-step explanation:

5 0
3 years ago
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