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pychu [463]
3 years ago
8

Can someone please help with this question?

Mathematics
1 answer:
pantera1 [17]3 years ago
3 0

Answer:

27 is the answer of your q3

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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
You mix 1/3
Oksana_A [137]

Answer:

1 quart blue + 1 1/2 quart red

Step-by-step explanation:

Given:

Ratio of blue paint : red paint = 1/3 : 1/2

simplifying this ratio into whole numbers by multiplying both sides by 2 and 3, we get:

(1/3) x (3x2) : (1/2) x (3x2)

2 : 3

From this we can determine the fractions of red and blue paint used in any total purple mix

fraction of blue paint = 2/(2+3) = 2/5 of purple mix

fraction of red paint = 3/(2+3) = 3/5 of purple mix

we are given that we want to make 2 1/2  (= 5/2) quarts of purple paint

hence

amount of blue paint

= fraction of blue paint in purple mix x total amount of purple paint

= (2/5) x (5/2) = 1 quart

amount of red paint

= fraction of redpaint in purple mix x total amount of purple paint

= (3 /5) x (5/2) = 3/2 quart = 1 1/2 quart

5 0
3 years ago
Bea can run 1/6 mile in 2 minutes. How long should it take her to run 2 miles?
suter [353]
24 min is how long it should take

5 0
3 years ago
Read 2 more answers
What rule tell you to find the output number from the input number ?
laila [671]

Answer:

C) Multiplied by 5

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
I need help with the steps. The answer is (5,2)
Elden [556K]

So with this, I will be using the substitution method. With the first equation, substitute (y+3) into the x variable and solve for y:

y+3+y=7\\2y+3=7\\2y=4\\y=2

Next, now that we have the value of y, substitute it into either equation to solve for x:

x+2=7\\x=5\\\\x=2+3\\x=5

<u>And this is how you get your final answer (5,2).</u>

5 0
4 years ago
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