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3 years ago

Apply root test to the series.

Mathematics

1 answer:

Angelina_Jolie [31]3 years ago

8 0

$\displaystyle\lim_{n\to\infty}\sqrt[n]{\left|\left(\frac{5n+15}{2n-1}\right)^n\right|}=\lim_{n\to\infty}\frac{5n+15}{2n-1}=\dfrac52$

Since this limit exceeds 1, the series diverges.

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A chef got 7 bags of onions. The red onions came in bags of 8 and the yellow onions came in bags of 3. If the chef got a total o

frutty [35]

Answer:

$\#\text{ of 8-onion bags: }4,\\\#\text{ of 3-onion bags: }3$

Step-by-step explanation:

Let $a$ be the number of bags with 8 onions and let $b$ be the number of bags with 3 onions. We have the following system of equations:

$\begin{cases}a+b=7,\\8a+3b=41\end{cases}$

Subtracting $b$ from both sides of the first equation, we get $a=7-b$ . Substitute this into the second equation:

$8(7-b)+3b=41,\\56-8b+3b=41,\\56-5b=41,\\-5b=-15,\\b=\boxed{3}$

Therefore, the number of 8-onion bags is:

$a=7-b,\\a=7-3,\\a=\boxed{4}$

Thus, the chef got 4 8-onion bags and 3 3-onion bags.

5 0

3 years ago

Solve a) 2(x+3)=x-4 b) 4(5x-2)=2(9x+3)

Nat2105 [25]

Answer:

a) -10 b) 7

Step-by-step explanation:

a) 2(x+ 3) = x - 4

2x + 6 = x - 4

2x - x = -6 - 4

x = -10

b) 4(5x - 2) = 2(9x + 3)

20x - 8 = 18x + 6

20x - 18x = 6 + 8

2x = 14

x = 14/2

x = 7

5 0

3 years ago

Read 2 more answers

Please Answer And Show work please!!!!!

Murljashka [212]

Answer:

si lan varlgo 2x4x4x2.5

Step-by-step explanation:

la nidra si margo

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2 years ago

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0.34 into a percent

vivado [14]

34% is the correct answer

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3 years ago

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the total cost, c, of an item purchased from a store is c = p .07p, where p is the price before sales tax, and there is a 7% sal

alekssr [168]

C = p + 0.07p
c = p(1 + 0.07)
c = 1.07p

6 0

3 years ago