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laiz [17]
4 years ago
5

Find the nth term of this number sequence 18, 16, 14, 12,... Pls help

Mathematics
2 answers:
Gnom [1K]4 years ago
4 0

Answer:

20 - 2n

Step-by-step explanation:

The sequence is arithmetic since the difference between consecutive terms is constant, that is

d = 16 - 18 = 14 - 16 = 12 - 14 = - 2

The n th term of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 18 and d = - 2, thus

a_{n} = 18 - 2(n - 1) = 18 - 2n + 2 = 20 - 2n

a_{n} = 20 - 2n

hodyreva [135]4 years ago
3 0
Step - by - step - explanation

So first find out the pattern. As you can see it just minuses 2 each time. So first

18, 16, 14, 12 (then minus another 2) equals 10, 8, 6, 4, 2.

So 2 is the ninth of the pattern, so 2 will be your answer.

Hope this helps.
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I REALLY NEED HELP ASAP
s344n2d4d5 [400]

Answer:

C. x>30 or x<14

Step-by-step explanation:

what you do is you take the |x-8| and take it out of the absolute value to have x+8>22. You will then subtract 8 to get x<14.

C. is your answer.

4 0
3 years ago
Write an equation in point -slope form for the line through the given point that has the given slope.
faltersainse [42]

Answer:

1. y=6x-22

Step-by-step explanation:

point-slope form equation : y=mx+b

1. (3, -4) m=6

Sub the numbers is

y=-4 / x=3 / m = 6

-4=6*3+b

-4=18+b

b=-22

So your equation would be y=6x-22

2. (4, 2) m=-5/3

sub the numbers into the equation

y=2 / x=4 / m= 5/3

2=4*5/3+b

2=20/3+b

b=8 2/3

so the equation would be

y=-5/3x+8 2/3

3. (0,2) m=4/5

sub the numbers into the equation

2=0*4/5+b

b=2

so the equation would be

y=4/5x+2

4. (-2, -7) -3/2

sub the numbers into the equation

-7=-3/2*-2+b

b=-10

so the equation would be

y= 3/2x-10

5. (4,0) 1

sub the numbers into the equation

0=1*4+b

b=-4

so the equation would be

y=x-4

6. (5,-8) -3

sub the numbers into the equation

-8=5*-3+b

-8=-15+b

b=7

so the equation would be

y=-3x+7

7. (-5, 2) 0

sub the numbers into the equation

2=-5*0+b

b=2

so the equation would be

y=2

8. (1, -8) -1/5

sub the numbers in

-8=1*-1/5+b

b= 7 3/5

so the equation would be

y=-1/5x + 7 3/5

9. (-6,1) 2/3

sub the number in

1=2/3*6+b

b=-3

so the equation would be

y=2/3x-3

4 0
3 years ago
Read 2 more answers
Need help pls............
Colt1911 [192]

She does not have enough wire

Step-by-step explanation:

The complete question included a design for her sculpture. It is a circle inscribe in a square and the length of the square is 9 inches. The picture above describe the design.

She has in possession a 5 ft of copper to construct a circle inscribe in a square.

The square is 9 inch length.

Perimeter of the square = 4L

where

L = length

Perimeter of the square = 4 × 9

Perimeter of the square = 36 inches

Circumference of a circle = 2πr

r = diameter/2 = 9/2 = 4.5 inches

Circumference of a circle = 2 × π × 4.5

Circumference of a circle = 2 × 4.5 × 3.14

Circumference of a circle = 9 × 3.14

Circumference of a circle = 28.26 inches.

The sculpture will consume 36 inches for the square and 28.26 inches for the circle. The total length for the sculpture will be 36 + 28.26 = 64.26 inches.

She has 5 ft copper for the sculpture . Let us covert the inches to ft to know if the copper wire is enough.

12 inches = 1 foot

64.26 inches = ?

cross multiply

wire required for the sculpture = 64.26/12

wire required for the sculpture = 5.355 ft

She does not have enough wire.

3 0
3 years ago
Read 2 more answers
For this assignment, your group will utilize the preliminary data collected in the Topic 2 assignment. Considering the specific
Luden [163]

Answer:

See the attached file.

Step-by-step explanation:

see the attached file for explanation.

Download txt
8 0
4 years ago
If the sum of two numbers is 20 and one of those numbers is three times the other, what is the smaller number?
Mazyrski [523]
X = smaller number
y = bigger number

y = 3x

x+y = 20
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4x = 20
x = 5

The smaller number is 5.
8 0
4 years ago
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