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4 years ago

For each sequence, find the first 4 terms and the 10th term.

Mathematics

1 answer:

aleksandr82 [10.1K]4 years ago

8 0

Answer:

Step-by-step explanation:

a) 12 - n

1st term = 12 - 1 = 11

2nd term = 12 - 2 = 10

3rd term = 12- 3 = 9

4th term = 12 - 4 = 8

10th term = 12 - 10 = 2

b) 5 - 2n

1st term = 5 - 2*1 = 5 - 2 = 3

2nd term = 5 - 2*2 = 5 - 4 = 1

3rd term = 5 - 2*3 = 5 - 6 = -1

4th term = 5 - 2*4 = 5 - 8 = - 3

10th term = 5 - 2*10 = 5 - 20 = -15

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Simplify the expression below. (2x^3-12x^2+10x-108)/x-6

ser-zykov [4K]

We have the following expression:
(2x ^ 3-12x ^ 2 + 10x-108) / x-6
Dividing the expression between x-6 we have:
quotient: 2x ^ 2 + 10
remainder: - 48
We can check the result then rewriting the expression:
2x ^ 3-12x ^ 2 + 10x-108
= (2x ^ 2 + 10) * (x-6) - 48
= (2x ^ 3 + 10x - 12 x ^ 2 - 60) - 48
= 2x ^ 3-12x ^ 2 + 10x-108
Division OK.
Answer:
The result of the division is:
quotient: 2x ^ 2 + 10
remainder: - 48

5 0

3 years ago

Please help, i have 20 minutes to do this. 25 points

german

Answer:

RT = RADIUS

QS = DIAMETER

PS = CHORD

RTS = CENTRAL ANGLE

QSP = MAJOR ARC

QTR = MINOR ARC

QSR = SEMICIRCLE

Step-by-step explanation:

4 0

3 years ago

What is Xavier’s available lot coverage?

slavikrds [6]

Answer:

Step-by-step explanation:

<h3>At first:</h3>

Given,

Back of lot of the trapezoid = 175

Front of lot of the trapezoid = 185

Length of lot of the trapezoid = 100

Therefore, 

Area of the trapezoid

$= \frac{a + b}{2} c$

[On putting the values]

$= \frac{175 + 185}{2} \times 100$

[On Simplification]

= 360 × 50

[On multiplying]

= 18000

Hence,

We got the Total Area as 18000.

As per given equation,

$\frac{40}{100} = \frac{x}{total \: area}$
To find the value of x

Solution ,

$= > \frac{40}{100} = \frac{x}{total \: area}$

[On putting Total Area = 18000]

$= > \frac{40}{100} = \frac{x}{18000}$

[On cross multiplication]

=> 40 × 18000 = 100 × x

[On Simplification ]

=> 720000 = 100x

[On dividing both sides with 100]

$= > \frac{720000}{100} = \frac{100x}{100}$

[On Simplification ]

=> x = 7200

Hence,

Xavier's avaliable lot coverage (x) = 7200 (Ans)

7 0

3 years ago

a local park is in the shape of a square. a map of the local park is made with the scale 1 inch to 200 feet. if the park is show

vladimir2022 [97]

Answer:

600 ft per side

Step-by-step explanation:

1 in = 200 feet

12 in = 1 foot

12 in * 200 ft= 2400 ft

2400/4 = 600 ft per side

6 0

3 years ago

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Answer:

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3 years ago

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For each sequence, find the first 4 terms and the 10th term.​

For each sequence, find the first 4 terms and the 10th term.