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Rainbow [258]
3 years ago
10

Use inductive reasoning to predict the next line in the pattern. Then perform the arithmetic to determine whether your conjectur

e is correct. 8(5) = 10(5 - 1) 8(5) + 8(25) = 10(25 - 1) 8(5) + 8(25) + 8(125) = 10(125 - 1) 8(5) + 8(25) + 8(125) + 8(625) = 10(625 - 1)
Mathematics
1 answer:
iren2701 [21]3 years ago
7 0

Answer:

8(5) + 8(25) + 8(125) + 8(625) +8(3125)= 10(3125 - 1)=31240

Hence proved Conjecture is correct

L.H.S=R.H.S

Step-by-step explanation:

Consider the pattern:

8(5)=10(5-1)=40

8(5) + 8(25) = 10(25 - 1) =240

8(5) + 8(25) + 8(125) = 10(125 - 1) =1240

8(5) + 8(25) + 8(125) + 8(625) = 10(625 - 1)=6240

According to inductive reasoning next term of pattern will become:

8(5) + 8(25) + 8(125) + 8(625) +8(3125)= 10(3125 - 1)=31240

Checking whether conjecture is correct or not:

Consider L.H.S:

8(5) + 8(25) + 8(125) + 8(625) +8(3125)

40+200+1000+5000+25000

31240

R.H.S:

31240

Hence proved Conjecture is correct

L.H.S=R.H.S

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Oduvanchick [21]

Answer:

8 ft

Step-by-step explanation:

if we made this into a rectangle (pretend you chop off one of the triangles and glue it to the other one to make a long rectangle), the length would be 10+4.5, or 14.5. to find what h is, we can just divide 116 by 14.5. our answer is 8.

8 0
3 years ago
Look at the graph of connected points in the plane which make up a function,
mihalych1998 [28]

Answer:

-2 ≤ f(x) ≤ 4

Step-by-step explanation:

The range is the set or group of all the y-coordinates of the function. This means it has all the values from the bottom point at -2 to the top point at 4. It is written as an inequality.

-2 ≤ f(x) ≤ 4

7 0
3 years ago
Solve for the base. Round to hundredths when necessary.
Elena-2011 [213]

Answer:

  1. 2730.54
  2. 18.8%
  3. 62.5% (decrease)

Step-by-step explanation:

The applicable formula is ...

  rate = portion/base

so ...

  base = portion/rate

Of course, a percentage is a fraction that has been multiplied by 100%.

__

1. base = portion/rate = 456/0.167 ≈ 2730.54

The base is about 2730.54.

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2. rate = portion/base = 50/266 ≈ 0.18797 ≈ 18.8%

The rate is about 18.8%.

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3. The decrease can be figured from ...

  rate of change = (new amount)/(original) -1 = 33/88 -1

     = -5/8 = -0.625 = -62.5%

The rate of decrease is 62.5%.

6 0
3 years ago
PLEASE HELP 20 POINTS
MArishka [77]

Answer:

I think it's 2?

4 0
2 years ago
HELP!! What is the value of x??
nordsb [41]

Answer:

X = 41°

Step-by-step explanation:

<h3>Sum of interior Angles of a ∆ is 180°</h3>

\angle1  +  \angle2 +  \angle3 = 180 \degree

Here  \\  \angle1 = 105 \degree \\  \angle2 =  ? \\  \angle3 = x

\angle4 = 146 \degree

here \:  \angle2 +  \angle4 = 180 \degree \\ \: (liner \: pair \: angle) degree\\ \angle2  + 146\degree = 180 \degree \\ \angle2 = 180 \degree - 146\degree \\ \angle2 = 34\degree

\angle1  +  \angle2 +  \angle3 = 180 \degree  \\ 105\degree + 34\degree + x = 180\degree \\ 139\degree + x = 180\degree \\ x = 180\degree - 149\degree \\ x = 41\degree

6 0
3 years ago
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