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3 years ago

write the equation for the nth term of the sequence and then find the value of the 24th term: 4, 13, 22, 31, ...

Mathematics

1 answer:

julia-pushkina [17]3 years ago

4 0

Answer :

nth term

an = a1 + (n-1) d

an = 4 + (9-1) 9

an = 4 + (8)9

an = 4 + 72

an = 82

24th term

an = 4 + (24-1) 9

an = 4 + (23) 9

an = 4 + 207

an = 211 is the answer

Hope it helped

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The radius of the circle whose equation is (x-3)^2 + (y+1)^2 = 16 is

Firdavs [7]

Answer:

Step-by-step explanation:

The general equation of a circle with center (a, b) and radius r is given by the equation;

$(x-a)^{2}+(y-b)^{2}=r^{2}$

The constant in the right hand side of the equation is simply the square of the radius;

We have been given the following equation;

(x-3)^2 + (y+1)^2 = 16

Comparing this with the general equation above;

$r^{2}=16\\\\r=\sqrt{16}=4$

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3 years ago

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Snowcat [4.5K]

Answer:

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Step-by-step explanation:

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3 years ago

What is the distance between points M(6,-6) and Z(2,-3), to the nearest tenth?

cupoosta [38]

distance b/w points M(6,-6) and Z(2,-3)

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= √( 3)^2 + 4^2

= √(9+16)

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= 5

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3 years ago

Unit Exam: Rational Numbers

Minchanka [31]

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3 years ago

A clown bought 5 bags of round balloons with 24 balloons in each bag. The clown also bought 3 bags of long balloons with 36 ball

dimaraw [331]

Answer:

247 blown up balloon left

Step-by-step explanation:

5 bags of round balloon with 24 balloon in each bag =

= 5 x 24 = 120 round balloons

3 bags of long balloon with 36 balloon in each bag =

= 3 x 36 = 108 long balloons

Part 1 Answer

120 round balloons - 108 long balloon = 12 balloons

therefore the clown bought 12 more round balloon than long balloon

Part 2

3 bags of heart-shaped balloons with 14 balloons in each bag =

= 3 x 14= 42 heart-shaped balloons

All the balloons were blown which equals

120 round balloons + 108 long balloons + 42 heart-shaped balloons =

= 270 balloons

23 balloons out of the 270 balloons burst which equals

270 blown balloon - 23 burst balloon = 247 blown-up balloons left

so,

247 blown-up balloons were left

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3 years ago