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V125BC [204]
3 years ago
5

A movie theater has 15 rows of State each rows have 24

Mathematics
1 answer:
mezya [45]3 years ago
3 0
Hmm if you tryna find the answer it’s 360 because you are multiplying 15x24 and it equals 360 :)) hope this helps!! If not I’m sorry
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A 1500 kg weather rocket accelerates upward at 10 m/s2 . It explodes 2.0 s after liftoff and breaks into two fragments, one twic
S_A_V [24]

Answer:

V2=-20.0155m/s

Step-by-step explanation:

To answer this question we will use the principle of conservation of momentum which is

MtVt=M1V1+M2V2

1) let's find the initial velocity.

We will use,

v=a*t

v=10m/s2*2s = 20 m/s

d=vot+1/2*a*t2

d=0+1/2*10*4

d=20m

2) For the speed of the lighter piece we use,

v22=v12+2ad

0=v12+2*-9.81*(530-20)

v12=10006.2

v1=100.031m/s

3) Computing this in our conservation of momentum equation it will be-

MtVt=M1V1+M2V2

1500kg*20m/s=(1500*1/3)kg*100.031m/s + (1500*2/3)+V2

30000=50015.5+1000V2

Therefore V2=-20.0155m/s.

6 0
3 years ago
Explain why S = {(5, 4, -2), (-15, -12, 6), (10, 8, -4)} is NOT a basis for R^3 (1 point Sis linearly dependent and spans R3 S i
earnstyle [38]

S would be a basis for \mathbb R^3 if

(1) the vectors in S are independent, and

(2) the vectors span \mathbb R^3.

  • Linear independence requires that c_1=c_2=c_3=0 is the only solution to

c_1(5,4,-2)+c_2(-15,-12,6)+c_3(10,8,-4)=(0,0,0)

These vectors are not linearly independent because if c_1=3, c_2=1, and c_3=0, we have

3(5,4,-2)+(-15,-12,6)=(15-15,12-12,-6+6)=(0,0,0)

so S is not a basis for \mathbb R^3.

7 0
3 years ago
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