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3 years ago

PLEASE HELP I WILL MARK YOU BRAINLIEST AND PLEASE SHOW YOUR WORK.

Mathematics

1 answer:

Feliz [49]3 years ago

5 0

Answer:

Part A: 7.58974359 gallons (I don't know if you needed to round so I kept the full number).

Part B: 8.871794872 gallons

Step-by-step explanation:

Part A's Steps:

First Step: 350 - 54 = 296

Second Step: 296 ÷ 39 = 7.58974359 (Round if you need to)

Part B's Steps:

First Step: 296 + 50 = 346

Second Step: 346 ÷ 50 = 8.871794872

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Simplify the following completely, show all work. √-45

scoray [572]

Answer:

$3\sqrt{5}i$

Step-by-step explanation:

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2 years ago

The sum of the first three terms of a sequence is 6 and the fourth term is 16

Sati [7]

Answer:

a₁ = -5, d = 7, a₂ = 2, a₃ = 9, a₄ = 16

equation of sequence: $\boxed{\bold{a_n=7n-12}}$

Step-by-step explanation:

a₁ + a₂ + a₃ = 6

a₁ + a₁ + d + a₁ + 2d = 6

3a₁ + 3d = 6

a₁ + d= 2 ⇒ a₁ = 2 - d

a₄ = 16

a₁ + 3d = 16

2 - r + 3d = 16

2d = 14

d = 7

a₁ = 2-7 = -5

a₁ = -5, d = 7 ⇒ a₂ = -5+7 = 2, a₃ = 2+7 = 9, a₄ = 9+7 = 16

equation of arithmetic sequence:

$a_n=a_1+d(n-1)\\\\a_n=-5+7(n-1)\\\\\underline{a_n=7n-12}$

6 0

3 years ago

There are 20 students in a math class. Thirty percent of the

Mekhanik [1.2K]

Answer:

Step-by-step explanation:

20% of 30 is 6 are randomly selected.

30 choose 6 = 30! / (30-6)! 6!

= 30! / 24!6!

= 30 * 29 * 28 * 27 * 26 * 25

--------------------------------- <-- 24! cancels

6 * 5 * 4 * 3 * 2 * 1

= 29 * 28 * 27 * 26 * 25

---------------------------------- <--- 30 = 6 * 5 cancels

4 * 3 * 2 * 1

= 29 * 7 * 9 * 13 * 25 <-- 4 cancels 28, 3 cancels 27, 2 cancels 26

= 593775

3 0

2 years ago