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fgiga [73]
3 years ago
8

What is the 109th term of the arithmetic sequence {963, 936, 909, 882, …}?

Mathematics
1 answer:
tatyana61 [14]3 years ago
8 0

Answer:

D. a109=-1,953

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Please answer, I’m struggling allot
agasfer [191]

Answer: -3

Step-by-step explanation:

y2-y1/x2-x1

(1,0)

(0,3)

3-0/0-1 = -3/1

4 0
3 years ago
Some integers are not irrational numbers? True or False?
arsen [322]

Answer- False

Step-by-step explanation: integers cant be expressed as a fraction


5 0
3 years ago
Diagram shows the composite solid formed by a cuboid and a right prism. Trapezium LMNP is the uniform cross section of the prism
kherson [118]

Answer:

MN = 7 cm

Step-by-step explanation:

Well the volume we can separate into pieces

first the ABCDEFGH (? you know this cuboid)

which has a volume of

V = AB\cdot BC\cdot CH\\\\V = 3*6*(3+JY+4)

if you ask where does the 4 come from

it comes from LP = KB = YC and JY + YC =JC

so

V = 18(7+MX)

this is because JY = MX

the other volume is of BCNPKLXY (hope you understand which one)

and the volume is

V = BP*PN*NX\\\\V=8*6*4\\\\V = 192

and the last one is KYXLMJ (the top "triangle")

the volume is

V = \frac{LX*XM}{2}*LK\\\\V = \frac{6*MX}{2}*8\\\\V= 6*4*MX\\\\V=24MX

so now add them up

and has to equal 444

V_T = 18(7+MX)+192+24MX\\\\V_T = 126+18MX+192+24MX\\\\V_T = 318+42MX\\\\444=318+42MX\\\\444-318=42MX\\\\126=42MX\\\\MX = 3

and finally we know that MN = MX + XN = 3+4 = 7

so here is our answer MN = 7 cm

a couple of notes

1.\:\angle LXM = 90\\\\2.\:\angle KYX = 90

3. the units don't matter due to the fact that everything is in cm

4. see the picture below to get a better idea of which prism I am talking of

5. tell me if you have questions :D

8 0
3 years ago
Solve<br><br> 4 = -2/3 ( p-2 )
kow [346]
The answer is I think -4
8 0
3 years ago
Carlos is 33 years younger than Kristen. 2 years ago, Kristen's age was 2 times Carlos's age. How old is Carlos now?
ale4655 [162]

Answer:

Carlos is 35 years old now

Step-by-step explanation:

Assume that Carlos is x years old now

∵ Carlos is x years old now

∵ Carlos is 33 years younger than Kristen

- Kirsten's age is the sum of x and 33

∴ Kirsten is x + 33 years old now

2 years ago

∵ Carlos's age = x - 2

∵ Kristen's age = x + 33 - 2 = x + 31

∵ Kristen's age was 2 times Carlos's age

- Equate Kristen's age by 2 times Carlos's age

∴ x + 31 = 2(x - 2)

- Simplify the right hand side

∴ x + 31 = 2x - 4

- Subtract x from both sides

∴ 31 = x - 4

- Add 4 to both sides

∴ 35 = x

∵ x represents Carlos's age now

∴ Carlos is 35 years old now

6 0
4 years ago
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