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pshichka [43]
3 years ago
13

John likes to collect stamps. He also shares his stamps with his big brother. John has 68 stamps in his collection. He gives 4 t

o his brother and buys 7 more each week. If John continues to follow this pattern of giving stamps and collecting stamps each week, how many stamps will he have in 7 weeks?
Mathematics
1 answer:
gavmur [86]3 years ago
5 0

Answer:

Step-by-step explanation:

The answer is 89 stamps. 7-4= 3 so he is adding 3 each week.  

68 + (3 x 7)=

68 + 21 = 89

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Simplify. 54+4(3/4−1/2)2
Effectus [21]

Answer:

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Step-by-step explanation:

54 + 4(3/4 − 1/2)2

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The vectors x and y are unit vectors that make and angle of 30 degrees with each other. Calculate the value of | 2x + y | and th
ICE Princess25 [194]

Answer: the value of | 2x + y | = 1.39

the direction of 2x + y = 21° 

Step-by-step explanation:

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Let assume that unit vector x is along the positive x-axis, and unit vector y is at +30°.

Therefore 

2x-y=

2< 1,0 > - < cos(30),sin(30) >

=<2-(√2)/2, 0-1/2>

and

|2x-y|=√((2-(√2)/2)² + (-1/2)^2)

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Therefore the value of | 2x + y | = 1.39

=atan((-1/2)÷(2-(√2)/2))

=atan(1.29289/-0.5)

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Therefore the direction of 2x + y is

21° 

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