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erica [24]
3 years ago
7

Find the first, fourth, and eighth terms of the sequence. A(n)=-2 × 2^N-1

Mathematics
1 answer:
11111nata11111 [884]3 years ago
7 0
<span><span>an</span>=<span><span>(<span>−<span>2x</span></span>)</span><span>(<span>2<span>−1</span></span>)</span></span></span>Step 1: Divide both sides by n.<span><span><span>an</span>n</span>=<span><span>−x</span>n</span></span><span>a=<span><span>−x</span>n</span></span>Answer:<span>a=<span><span>−x</span><span>n</span></span></span>
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Jack is using a hose to fill a cylinder-shaped dunk tank with water. If the dunk tank is six feet tall and has a diameter of six
nydimaria [60]

57 minute will take to fill the tank.

Solution:

Height of the cylinder = 6 ft

Diameter of the cylinder = 6 ft

Radius of the cylinder = 6 ÷ 2 = 3 ft

Volume of the cylinder = πr²h

                                      = 3.14 × 3² × 6

Volume of the cylinder = 169.56 cubic feet

Time taken to fill 3 cubic feet of water = 1 minute

Time taken to fill 169.56 cubic feet of water = \frac{169.56}{3}

                                                                         = 56.52 minute

                                                                         = 57 minute

Hence 57 minute will take to fill the tank.

3 0
2 years ago
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Step-by-step explanation:

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5 0
3 years ago
Braceleftzf y = 8/7 x − 2/3 <br> 8/3 x + y = 5/9
givi [52]

Answer:

  (x, y) = (77/240, -3/10)

Step-by-step explanation:

It is convenient to write the equations in standard form.

Multiplying the first equation by 21 gives ...

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Multiplying the second equation by 8 gives ...

  24x +9y = 5

Then the system of equations in standard form is ...

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  • 24x +9y = 5

Subtracting the first from the second, we get ...

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  30y = -9

  y = -9/30 = -3/10

Substituting this into the second equation, we have ...

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  24x = 7.7 . . . . . . . add 27/10

  x = 7.7/24 = 77/240

The solution is (x, y) = (77/240, -3/10).

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3 years ago
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The answer is "I" or "I and II".
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3 years ago
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