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blondinia [14]
3 years ago
5

What is the sum of the infinite series: 2+1+1/2+1/4+1/8+...

Mathematics
1 answer:
Temka [501]3 years ago
7 0

Answer:

31/8

im very sure

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A pole that is 2.8 mm tall casts a shadow that is 1.37 m long. At the same time, a nearby building casts a shadow that is 36.25
ZanzabumX [31]

Answer:

this is the correct answer

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3 years ago
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Bill and Felicia each bake cookies for a party. Bill bakes 3 times as many cookies as Felicia. Felicia bakes 24 fewer cookies th
denis-greek [22]

Answer:

  • b = 3f
  • f = b -24

Step-by-step explanation:

The word problem describes two relationships between the numbers of cookies baked. When b and f represent the numbers of cookies baked by Bill and Felicia, respectively, those relationships are ...

  1. Bill bakes 3 times as many cookies as Felicia. (b = 3f)
  2. Felicia bakes 24 fewer cookies than Bill. (f = b-24)
4 0
3 years ago
I need some help with this! i want my grade to go up
mart [117]

Answer:

44.159

Step-by-step explanation:

7 0
2 years ago
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A backyard pool has a concrete walkway around it that is 3 feet wide on all sides. The total area of the pool and the walkway is
Gnoma [55]

Answer:

<h2><em>29.4 length and 21.4 width.</em></h2>

Step-by-step explanation:

To fin the dimensions of the pool we need to use the total area of the pool plus the concrete walkway. Lets say that <em>W </em>is the width and <em>L </em>the length. We know that, the walkway has 3 ft wide, this means that the width and length are increased by 6ft (3ft on each side). So, the total area can be expressed like this:  A_{total} = (L+6)(W+6).

In addition, we know that the total area is 970 and the length is 8 ft longer than the width (L=W+8). So:

A_{total} = (L+6)(W+6)\\970 = (W+8+6)(W+6)\\970=W^{2}+20W+84\\W^{2}+20W-886=0

With this quadratic equation we're gonna have to solution, the most reasonable is part of the answer. So, solving the equation we have as solutions: W_{1}=21.4 and  W_{2}=-41.4

Therefore, the width is 21.4 ft, because the negative number cannot represent distances.

Using the relation between length and width:

L=W+8\\L=21.4+8=29.4

<em>Therefore, the dimensions of the pool are 29.4 length and 21.4 width.</em>

7 0
3 years ago
4(x−0.8)=3.8x−5.8 PLZZZ ANSWER FAST!
Hunter-Best [27]
To find the answer:
4(x - 0.8) = 3.8x - 5.8 \\ 4x - 3.2 = 3.8x - 5.8 \\ 4x - 3.8x =  - 5.8 + 3.2 \\ 0.2x =  - 2.6 \\ x =   - \frac{ 2.6}{0.2}  \\ x =  - 13

Therefore, x=-13.

Hope it helps!
5 0
3 years ago
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