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dolphi86 [110]
3 years ago
12

Which of the following values does not satisfy the inequality -2x - 6 is less than or equal to 1

Mathematics
1 answer:
Vsevolod [243]3 years ago
5 0

Answer:

X ≥ 3.5

Step-by-step explanation:

-2x-6≤1

+6 +6

-2x≤7

-2x/2 7/2

x ≥ 3.5

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Find the sum of the first 8 terms of the series. 1/2 + 1 + 2 + 4
Roman55 [17]

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so as you can see the common ratio is 2, and the first term is 1/2,

\bf \qquad \qquad \textit{sum of a finite geometric sequence} \\\\ S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad  \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ r=\textit{common ratio}\\ ----------\\ r=2\\ a_1=\frac{1}{2}\\ n=8 \end{cases} \\\\\\ S_8=\cfrac{1}{2}\left( \cfrac{1-2^8}{1-2} \right)\implies S_8=\cfrac{1}{2}\left( \cfrac{-255}{-1} \right)\implies S_8=\cfrac{255}{2}

4 0
4 years ago
Read 2 more answers
From the hay loft door, Ted sees his dog on the ground. The angle of depression of the dog is 40º. Ted's eye level is 16 feet ab
Vlad1618 [11]

Answer: 19 feet

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.  

Tan α = opposite side / adjacent side  

Where α is the angle of depression of the dog, the opposite side (16) is Ted's eye level above the ground, and the adjacent side (x) is the distance between the dog and the barn door.

Replacing with the values given:  

tan40 = 16/x

Solving for x  

x =16/tan40

x= 19 ft  

Feel free to ask for more if needed or if you did not understand something.  

5 0
3 years ago
??!?!?!?!?!!?!?!?!!?!!!?!!!!?
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Answer:

The third option, a rational number

like 1/5 + 2.5 is still rational (but neither irrational nor whole/an integer)

it would be 0.2 + 2.5 = 2.7 btw

or

1/5 + 5/2

= 2/10 + 25/10

= 27/10

6 0
3 years ago
Which of the following is equal to √^3√5<br>5^1/3<br>5^1/6<br>5^2/3<br>5^3/2​
svlad2 [7]
I think it’s number 3
5 0
3 years ago
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