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riadik2000 [5.3K]
2 years ago
5

Find an explicit formula for the arithmetic sequence -5,13,31,49,...−5,13,31,49,...minus, 5, comma, 13, comma, 31, comma, 49, co

mma, point, point, point.
b(n)=b(n)=b, left parenthesis, n, right parenthesis, equals
Mathematics
1 answer:
dolphi86 [110]2 years ago
4 0

Answer:

aₙ = a₁ + (n-1) * 18        a₁ = -5

Step-by-step explanation:

aₙ = a₁ + (n-1) * d            a₁ = -5     d = 13 - (-5) = 18

a₂ = -5 + (2 - 1) * 18 = -5 + 18 = 13

a₃ = -5 + (3 - 1) * 18 = -5 + 36 = 31

a₄ = -5 + (4 - 1) * 18 = -5 + 54 = 49

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Sidana [21]
First, find the area of both beds!
For Heidi: 5 x 3 = 15
For Andrew: 5 x (3 x 2) = 30 ft

Added together, the beds have an area of 45 feet. To place soil with a depth of 2 feet, simply multiply by 2. You can think of this as finding the volume of the beds, which is length x width x height, or area x height. The answer is 90 cubic feet!

5 0
2 years ago
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A weather balloon has a volume of 90.0 L when it is released from sea level 101 kPa. What is the atmospheric pressure on the bal
kirza4 [7]

Answer:

<em><u>The final atmospheric pressure is 5.19 · 10⁴ Pa</u></em>

Step-by-step explanation:

Assuming that the temperature of the air does not change, we can use Boyle's law, which states that for a gas kept at constant temperature, the pressure of the gas is inversely proportional to its volume. In formula,

pV = const.

where p is the gas pressure and V is the volume

The equation can also be rewritten as

p₁ V₁ = p₂ V₂

where in our problem we have:

p₁ = 1.03 · 10₅ Pa is the initial pressure (the atmospheric pressure at sea level)

V₁ = 90.0L is the initial volume

p₂ is the final pressure

V₂ = 175.0L is the final volume

Solving the equation for p2, we find the final pressure:

p₂ = p₁ v₁ divided by V₂ = (1.01 · 10⁵)(90.0) divided by 175.0 = 5.19 · 10⁴ Pa

8 0
2 years ago
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A rectangle has a height of w^2+3w+9w 2 +3w+9w, squared, plus, 3, w, plus, 9 and a width of w^2+2w 2 +2w, squared, plus, 2. Expr
Keith_Richards [23]

Answer:

w⁴+5w³+17w²+24w +18

Step-by-step explanation:

Area of a rectangle = length * width

Given

Length  = w²+3w+9

width = w²+2w+2

Area of the rectangle = (w²+3w+9)(w²+2w+2)

Area of the rectangle = w²(w²) + 2w(w²) + 2w² + 3w(w²) + 3w(2w) + 2(3w)+9w²+9(2w)+9(2)

Area of the rectangle = w^4+2w^3+2w²+3w^3+6w^2+6w+9w²+18w+18

Collect the like terms;

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4 0
2 years ago
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Answer:

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Since 180° = π radian

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Or,  Ф = \frac{l}{r}

Or,  Ф =  \frac{38 feet}{18 feet}

Or, Ф = 2.11 °

So, The angle of rotation =  Ф = 2.11 °

Hence, The angle of rotation is 2.11 °   Answer

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Answer:

Step-by-step explanation:

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