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Mars2501 [29]
3 years ago
11

Find the sum of the first four terms of the geometric series 100 + 50 + 25 + ...

Mathematics
1 answer:
elixir [45]3 years ago
3 0

Answer:

<em><u>Decimal</u></em><em><u>:</u></em>

100 + 50 + 25 + 12.5 + 6.25 + 3.125 + 1.5625

<u><em>Fraction</em></u><u><em>:</em></u>

100 +50+25 + 12\frac{1}{2}+6\frac{1}{4}+3\frac{1}{8}+1\frac{9}{16}

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Write the absolute value inequality in the form
yawa3891 [41]

Answer:

\large\boxed{|x+7|\geq2}

Step-by-step explanation:

Look at the picture.

|x-a|\geq b\\\\a=\dfrac{-9+(-5)}{2}=\dfrac{-14}{2}=-7\\\\b=-9-(-7)=-9+7=-2\\b=-5-(-7)=-5+7=2\\\\|x-(-7)|\geq2\\\\|x+7|\geq2\\\\Check:\\\\|x+7|\geq2\iff x+7\geq2\ \vee\ x+7\leq-2\qquad\text{subtract 7 from both sides}\\\\x+7-7\geq2-7\ \vee\ x+7-7\leq-2-7\\\\x\geq-5\ \vee\ x\leq-9\qquad CORRECT\ :)

4 0
4 years ago
In the diagram, mFLI is 106°, mFLG = (2x – 1)°, mGLH = (x + 17)°, and mHLI = (4x – 15)°. What is the measure of the smallest ang
klio [65]
Ok I think I have a visual, but if this isn't want the question wants, don't blame me because you couldn't put a diagram up.

106 = (2x-1) + (x+17)+ (4x-15)
106 = 7x + 1
105 = 7x
/7       /7
  15 = x

mFLG = 2x - 1
              2(15) - 1
              30 - 1
              29

mGLH = x+17
              15 + 17
              32

mHLI = 4x - 15
             4(15) - 15
             60 - 15
             45
 
29 < 32
29 < 45

Therefore, the smallest angle is 29.

Proof = 29 + 32 + 45 = 106.
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3 years ago
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geniusboy [140]

Answer:

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