Exercisea. I choose the correct option from Contain Questions
i Which of the following is a group set ?
(b) A happy person in the Village
(c) Simple Ex in the book (d) school age student
(Weekly​

Step-by-step explanation:

∑ sin(nπ/4) / (n³ + 3n)

This is less than 1 / n⁴ for all n > 1.  1/n⁴ is a convergent p-series, so the lesser series also converges.  │aₙ│converges for the same reason, so this is absolutely convergent.

∑ (-1)ⁿ⁺¹ ln(n + 1) / (n + 1)

This is an alternating series.  bₙ is positive and decreasing, and lim(n→∞) bₙ = 0, so the series converges.  Now we need to check if│aₙ│converges.  Using comparison test, │aₙ│is greater than 1/n for all n ≥ 6.  1/n is a divergent p-series, so the greater series│aₙ│also diverges.  So this is conditionally convergent.

Missing:

If Hector earned $126 last week, what was the amount of Hector's raise per hour?

Answer:

Step-by-step explanation:

Given

Required

Solve for x when y = 126

Divide through by 12

Answer:

$21

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

First, find the unit rate for 4 cars. 28 divided by 4 equals 7. Then, just multiply 7 by 3 and you get 21

Answer:

  about 4.097 seconds

Step-by-step explanation:

The vertical velocity is ...

  (35 m/s)sin(35°) ≈ 20.075 m/s

When the projectile reaches the level from which it was launched (ground level), its final velocity will be the opposite of its initial velocity. Thus, the change in velocity is ...

  -20.075 -(20.075) = -40.150 . . . . m/s

The acceleration is provided by gravity, which is -9.8 m/s², so the time required is ...

  t = Δv/a = (-40.150 m/s)/(9.8 m/s²) ≈ 4.097 s

The dilated polygon and polygon are created. And the scale factor of the polygon STUVWXYZ to JKLMNOPQ will be 9.

What is dilation?

Dilation is the methodology of expanding the dimensions of an object without impacting its appearance.

The coordinate of the polygon ABCDEFGH is given as,

(3, -3), (4, -4), (5, -3), (8, -6), (10, -4), (9, -3), (8, -4), (5, -1)

a) If the scale factor is 3, then the coordinate of the polygon JKLMNOPQ is given as,

⇒ 3 [(3, -3), (4, -4), (5, -3), (8, -6), (10, -4), (9, -3), (8, -4), (5, -1)]

⇒ (9, -9), (12, -12), (15, -9), (24, -18), (30, -12), (27, -9), (24, -12), (15, -3)

b) If the scale factor is 1/3, then the coordinate of the polygon STUVWXYZ is given as,

⇒ 1/3 x [(3, -3), (4, -4), (5, -3), (8, -6), (10, -4), (9, -3), (8, -4), (5, -1)]

⇒ (1, -1), (4/3, -4/3), (5/3, -1), (8/3, -2), (10/3, -4/3), (3, -1), (8/3, -4/3), (5/3, -1/3)

c) The polygon JKLMNOPQ and STUVWXYZ are similar. Then the scale factor is given as,

Scale factor = 9/1

Scale factor = 9

The diagram is given below.

More about the dilation link is given below.

brainly.com/question/2856466

#SPJ9

Answer:

2x2+3x-3

Step-by-step explanation:

The first thing you want to do is find all the X2"s and add those together and that looks like this 3x2+(-x2) which would be 2x2. Then you want to find all of the x's and add them together which looks like this -2x+5x which is 3x. Then you find all the whole numbers without a variable and that's 2-5 which equals to be -3.

Final answer:

To simplify the given expression, rewrite it without parentheses changing the signs of the terms being subtracted. Then, combine like terms. The simplified expression is 2x² - 7x + 7.

Explanation:

To solve this problem, we must subtract the terms in the second parenthesis from the corresponding terms in the first.

Step 1: First, we rewrite the expression without parentheses, changing the signs of the terms in the second set of parentheses because it is being subtracted:
3x² - 2x + 2 - x² - 5x + 5

Step 2: Next, we collect and combine like terms.
3x² - x² - 2x - 5x + 2 + 5 = 2x² - 7x + 7

Thus, the simplified expression is 2x² - 7x + 7.

Learn more about Expression Simplification here:

brainly.com/question/35063119

#SPJ2