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TiliK225 [7]
3 years ago
13

Find the fifth term in the geometric

Mathematics
1 answer:
OlgaM077 [116]3 years ago
8 0

Answer:

<h2>          a₅ = 162</h2>

Step-by-step explanation:

The nth term in the geometric sequence:  a_n=a_1\cdt r^{n-1}

a₁ = 2  and  r = 3

So:

    a_5=a_1\cdot r^4=2\cdot3^4 = 2\cdot81=162

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Simplify fully WITHOUT using a calculator (3√2 -12)(2√2+1)​
natita [175]

Answer:

33\sqrt{2} +12

Step-by-step explanation:

(3\sqrt{2}  - 12)(2\sqrt{2} + 1)

6\sqrt{2}  + 3\sqrt{2} -12(2\sqrt{2})+12

9\sqrt{2}+24\sqrt{2}+12

33\sqrt{2} +12

6 0
3 years ago
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A set of numbers is shown below: {0, 0.6, 2, 4, 6} Which of the following shows all the numbers from the set that make the inequ
Lorico [155]
The given equality hold true when x = 2.

Put x = 2 in inequality.

2(2) + 3 = 4+3 = 7 = R.H.S.

For x = 4 and 6, L.H.S(2x+3) is greater than 7.

Hence for x = 2, 4 and 6, the above inequality holds true.

Hope this helps!
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3 years ago
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What are the real zeros of the function g(x) = x3 + 2x2 − x − 2?
Nat2105 [25]
Upon a slight rearrangement this problem gets a lot simpler to see.

x^3-x+2x^2-2=0  now factor 1st and 2nd pair of terms...

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(x+2)(x^2-1)=0  now the second factor is a "difference of square" of the form:

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(x+2)(x+1)(x-1)=0

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4 0
3 years ago
Give one pair of vertical angles and one pair of supplementary angles shown in the figure below.​
vichka [17]

Answer:

Vertical : Angles 1 & 4 Supplementary: 5 & 6

Step-by-step explanation:

Vertical angels are angles that have the same measure that are opposites of each other (1 & 4) and supplementary angles are 2 angles that equal 180 degrees that are right next to each other or right above each other (5 & 6) (3 & 5)

7 0
3 years ago
Analyze the diagram below and complete the instructions that follow.
Phantasy [73]

Answer:

Option (B)

Step-by-step explanation:

From the figure attached,

ΔBCD and ΔACE are the similar triangles.

Therefore, by the property of similar triangles, corresponding sides of these similar triangles will be proportional.

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\frac{AB+BC}{BC}= \frac{ED+DC}{DC}

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Option (B) will be the answer.

3 0
3 years ago
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