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Mekhanik [1.2K]
4 years ago
5

10 Points!

Mathematics
1 answer:
Gekata [30.6K]4 years ago
7 0
In this sequence, a₁ equals -1. 

The difference between each term is +3, so the coefficient for n will be 3.

In the sequence, a₂ equals 2. The following equation will fit this sequence, and will be your answer:

a_n = -1 + 3(n - 1)

Proof:
a_1 = -1 + 3(1 - 1) = -1 + 3(0) = -1

a_2 = -1 + 3(2 - 1) = -1 + 3(1) = -1 + 3 = 2
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Stacy hits the jackpot one day at the gumball machine. She puts in a quarter and gets 4 gumballs rather than I
Svet_ta [14]

Answer:

3620.57

Step-by-step explanation:

Given: Stacy hits the jackpot one day at the gumball machine and won 4 gumballs, radius of each gumball is 6 mm

To find: Total volume of all 4 gumballs

Solution:

Gumball is Spherical

Volume of Sphere = (4/3)πr³

r = Radius of Sphere

r =  6mm

Volume of 1 gumball = (4/3)π * 6³

= 288π  mm³

Volume of 4 gumballs = 4 *  288π

= 1152π  mm³

using π = 22/7

= 3,620.57 mm³

or using π = 3.14

= 3,617.28 mm³

Volume of 4 gumballs = 288π  mm³ ≈ 3,620 mm³

4 0
3 years ago
Read 2 more answers
A woman purchased a used car for $3,000. She decided to sell the car for 20% above her purchase price. She could not sell the ca
irina1246 [14]

Answer:

She will have a loss of $ 120

Step-by-step explanation:

Purchase price of car = $ 3000

20% of 3000 = \frac{20}{100}*3000

                     = 20 * 30

                    = $ 600

Selling price = 3000 + 600 = $ 3600

Reduction price = 20%  of 3600

                          \frac{20}{100}*3600

                       = 20  * 36

                       = $ 720

Current selling price after reduction = 3600 - 720

                                                            = $ 2880

Loss = 3000 - 2880

        = $ 120

5 0
3 years ago
Read 2 more answers
: The perimeter of a rectangular garden is 46. The length is 7 less than 4 times the width. What are the dimensions of the garde
olga55 [171]
Let the width be x, then length = 4x - 7
Perimeter = 2(length + width)
2(x + 4x - 7) = 46
2(5x - 7) = 46
10x - 14 = 46
10x = 60
x = 6

Therefore, width is 6 and length is 4(6) - 7 = 24 - 7 = 17
4 0
3 years ago
Solving for a Variable when multiple variables present
Nostrana [21]

Answer:

The answere is a=y-x

I hope this help

5 0
3 years ago
25 Points!! The graph represents the first three terms in an arithmetic sequence.
Drupady [299]

Answer:

Step-by-step explanation:

y-1=\frac{4-1}{2-1}(x-1)\\y-1=3(x-1)\\y=3x-3+1\\y=3x-2

b.

an=an-1+3

C.

when x=15

y=3×15-2=45-2=43

a15=43

4 0
3 years ago
Read 2 more answers
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