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quester [9]
3 years ago
8

Guess the rule and add the next number in the sequence. 6, 8, 12, 18, 26,

Mathematics
2 answers:
saveliy_v [14]3 years ago
6 0

Answer:

36

Step-by-step explanation:

The rule is every time you add 2 so 6 plus 2 equals 8 them you would do 8+4=12. your counting by 2 as u go up the line.

brilliants [131]3 years ago
3 0

Answer:

The rule: Adds twice as much as the previous number added

Next number: 38

Step-by-step explanation:

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a water sprinkler sends water out in in a circle .how large is the watered area if the the watering Patten is 23 ft
Dennis_Churaev [7]
I'm guessing you're saying that the sprinkler is shooting out 23 ft of water.

This would be the same as the radius of a circle, and we're trying to find the area. Use the formula.

\sf A=\pi r^2

Plug in what we know:

\sf A=\pi (23^2)

\sf A=529\pi ft^2

This is what they could be looking for, an exact value. If they want an approximation, we can input 3.14 for Pi:

\sf A\approx 529(3.14)

\boxed{\sf A\approx 1661.06~ft^2}
3 0
3 years ago
Write the explicit formula for the geometric sequence 2, 8, 32, 128
Alja [10]
The first term, a, is 2.  The common ratio, r, is 4.  Thus,

a_(n+1) = 2(4)^(n).

Check:  What's the first term?  Let n=1.  Then we get 2(4)^1, or 8.  Is that correct?  No.

Try this instead:

a_(n) = a_0*4^(n-1).  Is this correct?    Seeking the first term (n=1), does this formula produce 2?      2*4^0 = 2*1 = 2.  YES.

The desired explicit formula is   a_(n) = a_0*4^(n-1), where n begins at 1.


3 0
3 years ago
Write log146−log14 3 2 as a single logarithm.
Elden [556K]
The answer to this is log14 4

3 0
4 years ago
Read 2 more answers
the gravitational attraction between two masses varies inversely as the square of the distance between them. if the attraction f
Marat540 [252]

Answer:

  33 1/3 lb

Step-by-step explanation:

When the distance between them goes from 8 ft to 12 ft, it is 1.5 times what it was. Then the force will be multiplied by the inverse of the square of this:

  (75 lb)×1/(1.5²) = 75/2.25 lb = 33 1/3 lb

At 12 feet apart, the attraction force is 33 1/3 pounds.

8 0
4 years ago
1
zmey [24]

Answer:

Part 1) The inequality that represent this situation is 5(x+7)^{2} \geq1,050  or  5x^{2}+70x+245 \geq1,050

Part 2) Yes, 8 inches is a reasonable width for his tablet

Step-by-step explanation:

Part 1)

Let

L -----> the length of the screen television

W ----> the width of the screen television

x ---->  the width of Andrew's tablet

we know that

L=5W ------> equation A

W=x+7 ----> equation B

The area of the television is

A=LW -----> equation C

Substitute equation A and equation B in equation C

A=5(x+7)(x+7)

A=5(x+7)^{2}

5(x+7)^{2} \geq1,050

5(x^{2}+14x+49) \geq1,050

5x^{2}+70x+245 \geq1,050 ------> inequality that represent this situation

Part 2) Determine if 8 inches is a reasonable width for his tablet

For x=8 in

Substitute in the inequality

5(8+7)^{2} \geq1,050

5(15)^{2} \geq1,050

1,125 \geq1,050 -----> is true

therefore

Yes, 8 inches is a reasonable width for his tablet

3 0
3 years ago
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