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sertanlavr [38]
3 years ago
7

Simplify (4.2^n+1 _ 2^n+2 )/(2^n+1 _ 2^n).​

Mathematics
1 answer:
irina [24]3 years ago
6 0

4.2^n+12^n+2/2^n+12^n

Step-by-step explanation:

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What is -16+8n-7n=4n-4 ??
seropon [69]

Answer:

-4

Step-by-step explanation:

simplify both sides of the equation, subtract 4n from both sides, add 16 to both sides, divide both sides by -3

6 0
3 years ago
How many minutes are in a year
Vlad1618 [11]
525600 minutes = 1 year
6 0
3 years ago
Read 2 more answers
25 Pts + Brainliest for the first correct answer.
GuDViN [60]

Answer:

29) x = 17

30) x =14

31) x = 23

32) x = 44


Step-by-step explanation:

29)

6x - 17 = 85

6x = 102

x = 17


30)

4x + 21 + 103 = 180

4x + 124 = 180

4x = 56

x = 14


31)

2x + 23 = 4x - 23

-2x = - 46

 x = 23


32)

4x - 42 = 134

4x = 176

x =  44

6 0
3 years ago
A rectangular bedroom is 4 ft longer than it is wide. Its area is 252 ft2. What is the width of the room?
Ksenya-84 [330]

Answer:

14 ft

Step-by-step explanation:

Given:

  • Bedroom is 4 ft longer than it is wide.
  • Area is 252 ft².

Let x = width of the bedroom:

  • width = x ft
  • length = (x + 4) ft

Therefore:

\begin{aligned}\textsf{Area of a rectangle} & = \sf width \times length\\\implies 252 & = x(x+4)\\252 & = x^2+4x\\x^2+4x & = 252\end{aligned}

To find the value(s) of x, complete the square.

Add the square of half the coefficient of the term in x to both sides:

\implies x^2+4x+\left(\dfrac{4}{2}\right)^2=252+\left(\dfrac{4}{2}\right)^2

\implies x^2+4x+4=256

<u>Factor</u> the perfect trinomial on the left side:

\implies (x+2)^2=256

<u>Square root</u> both sides:

\implies x+2= \pm \sqrt{256}

\implies x+2= \pm 16

Therefore:

\implies x=-2+16=14

\implies x=-2-16=-18

As width cannot be negative, the width of the room is 14 ft.

3 0
2 years ago
Given the figure below and that segment VW is the midsegment ΔRST, what is m∠WVR?
jolli1 [7]

Answer:

∠WVR = 156

Step-by-step explanation:

Angles in triangle add up to 180 - SEE ATTACHMENT - LEFT TRIANGLE

∴ ∠SRT + RST + RTS = 180

∴ ∠SRT + 109 + 47 = 180

∠SRT = 24

Alternate Angle Theorem - SEE ATTACHMENT - RIGHT TRIANGLE

∠SRT = 180 - ∠WVR

24 = 180 - ∠WVR

24 - 180 = - ∠WVR

-156 = - ∠WVR

∠WVR = 156

5 0
3 years ago
Read 2 more answers
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