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Bogdan [553]
3 years ago
7

Help ASAP ! I’ll mark as brainlist if you can explain

Mathematics
1 answer:
Lostsunrise [7]3 years ago
7 0

Answer:

66

Step-by-step explanation:

the shape is a trapezium, and the formula for a trapezium is 1/2 times height (a+b) where a and b is the uneven sides and h is the height. all together it is 1/2 times 6 (8+4)

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Consider the following series. 1 4 + 1 8 + 1 12 + 1 16 + 1 20 Determine whether the series is convergent or divergent. Justify y
patriot [66]

Answer:

The series diverges

Step-by-step explanation:

First, let's find the sequence:

4, 8, 12, 16, 20,...,

As we can see, they are multiples of 4, so one possible sequence is:

4,8,12,16,20,...,=4n\hspace{8};\hspace{3}n\in Z

Hence, we can represent the series as:

$$\sum_{n=1}^{\infty} 4n

Let's use the zero test which states:

$$\Sigma a_n$$\\Diverges\hspace{3}if\\\\ \lim_{n \to \infty} a_n \neq 0

So:

\lim_{n \to \infty} 4n= 4 \lim_{n \to \infty} n\\ \\ \lim_{n \to \infty} n=\infty\\ \\4\infty= \infty\\\\Hence\\\\ \lim_{n \to \infty} 4n=\infty

Therefore, by the zero test, the series diverges

3 0
3 years ago
Help would be good i dont know how to do this
Mila [183]

\frac{x^2-4x-32}{x^2+7x+12}=\frac{x^2+4x-8x-32}{x^2+4x+3x+12}=\frac{x(x+4)-8(x+4)}{x(x+4)+3(x+4)}=\\\frac{(x+4)(x-8)}{(x+4)(x+3)}=\frac{x-8}{x+3}

5 0
3 years ago
F(x) = 3х + 2 and g(x) = X + 5<br> g[f(x)] =<br> A:Зx +7<br> B:3х + 17<br> C:4x +7
vitfil [10]

Answer:

Answer is A.. ( i.e. 3x + 7 )

4 0
4 years ago
Maya just turned 14 years old. Her parents started saving $350 each month for her college education when she was born. Her paren
il63 [147K]

Answer:

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6 0
3 years ago
Dr. Huey told Bob to drink 4 gallons of water everyday. After 7 days, how many gallons of water did Bob drink? (1 gallon = 3.79
love history [14]

Answer:

He should have drunk 28 gallons in 7 days

Step-by-step explanation:

This is pretty simple, so let's assume he drank 4 galloiljs of water a day. 4 gallons a day x 7 days

4*7

that is 28

8 0
3 years ago
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