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alukav5142 [94]
3 years ago
12

(5CQ) Use the comparison test to determine whether the series 25/3+125/9+625/27+... is convergent or divergent.

Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
4 0

The terms in the sum are given by the sequence

\left\{\dfrac{5^{n+1}}{3^n}\right\}_{n\ge1}

We have

\dfrac{5^{n+1}}{3^n}>\dfrac{5^n}{3^n}=\left(\dfrac53\right)^n>1

for all n, and the series 1+1+1+\cdots clearly diverges, so \dfrac{25}3+\dfrac{125}9+\cdots must also diverge.

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The difference of two number is 28. if one number is 11, find the other number
Leno4ka [110]

Answer:

39

Step-by-step explanation:

difference=28

other number=11

so:

11+28=39

39 is your other number

7 0
3 years ago
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QUESTION ON PIC !THX
Aliun [14]

Answer:

Step-by-step explanation:

The original price was 43 dollars

The new price is 55/100 * 43

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The new price is 23.65 dollars

2365 came from multiplying 43 * 55 which is 2365

4 0
2 years ago
Which ratio is equivalent to 7:3?
aliina [53]

Answer:

The answer is B.

Step-by-step explanation:

7x4 is 28 which means you have to multiply 3x4. That gives you 12. 28:12 is the proper ratio. (Hope this helped!)

3 0
3 years ago
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What is the best approximation of the value of w? 1. 4 cm 4. 0 cm 6. 0 cm 7. 3 cm.
MrRissso [65]

To solve the problem we must know about Sine Rule.

<h3>What is Sine rule?</h3>

The sine rule of trigonometry helps us to equate the side of the triangles to the angles of the triangles. It is given by the formula,

\dfrac{Sin\ A}{\alpha} =\dfrac{Sin\ A}{\beta} =\dfrac{Sin\ A}{\gamma}

where

  • Sin A is the angle and α is the length of the side of the triangle opposite to angle A,
  • Sin B is the angle and β is the length of the side of the triangle opposite to angle B,
  • Sin C is the angle and γ is the length of the side of the triangle opposite to angle C.

The value of w is 4.0 cm.

Given to us

  • VW = 3.3 cm,
  • ∠U = 31°,
  • ∠W = 39°,
<h3>Using the sine law,</h3>

\dfrac{Sin\ A}{\alpha} =\dfrac{Sin\ A}{\beta} =\dfrac{Sin\ A}{\gamma}

Substitute the values,

\dfrac{Sin\ W}{w} = \dfrac{Sin\ U}{VW}

\dfrac{Sin\ 39^o}{w}=\dfrac{Sin\ 31^o}{3.3}

w=\dfrac{(Sin\ 39^o) \times 3.3}{Sin\ 31^o}

w = 4.03224 cm ≈ 4.0 cm

Hence, the value of w is 4.0 cm.

Learn more about Sine Rule:

brainly.com/question/17289163

4 0
2 years ago
Thomas is running for class president. e can have a campaign buttons made for a one-time fee of $23.60,plus $0.50 for each butto
mariarad [96]
Lets x = <span>number of buttons
</span><span>
Equation:
0.50x + 23.60 = 257
0.50x = 233.4
       x = 466.8

Maximum number of buttons = 466

Answer:
</span><span>D) 466 buttons</span>
3 0
3 years ago
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