Answer:25 %
Step-by-step explanation:
Given
Earlier machine was producing 52 ice cream per minute and
Now it is Producing 65 ice creams per minute
So percentage increase of the machine 
So there is increase of 25 % in speed
A. 3n + 4
First Four Terms: 7, 10, 13, 16
Tenth Term: 34:
Plug in 10, 3 x 10 = 30 + 4 = 34
B. 4n - 5
First Four Terms: -1, 3, 7, 11
Tenth Term: 35
Plug in 10, 4 x 10 = 40 - 5 = 35
Answer:
use wolfram alpha it helps :D
Step-by-step explanation:
Answer: Choice D)
The angle between the two vectors is approximately 71.6 degrees
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Work Shown:
Each time I write the word "dot" I mean "dot product".
|u| = length of vector u
|u| = sqrt(u dot u)
|u| = sqrt(<8,4> dot <8,4>)
|u| = sqrt(8*8 + 4*4)
|u| = sqrt(64 + 16)
|u| = sqrt(80)
|u| = sqrt(16*5)
|u| = sqrt(16)*sqrt(5)
|u| = 4*sqrt(5)
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|v| = length of vector v
|v| = sqrt(v dot v)
|v| = sqrt(<9,-9> dot <9,-9>)
|v| = sqrt(9*9 + (-9)*(-9))
|v| = sqrt(81+81)
|v| = sqrt(2*81)
|v| = sqrt(2)*sqrt(81)
|v| = sqrt(2)*9
|v| = 9*sqrt(2)
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u dot v = <8,4> dot <9,-9>
u dot v = 8*9 + 4*(-9)
u dot v = 72-36
u dot v = 36
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cos(theta) = (u dot v)/(|u|*|v|)
cos(theta) = (36)/(4*sqrt(5)*9*sqrt(2))
cos(theta) = (36)/(36*sqrt(10))
cos(theta) = 1/(sqrt(10))
cos(theta) = sqrt(10)/10
theta = arccos(sqrt(10)/10)
theta = 71.56505
which rounds to 71.6 when rounding to one decimal place (nearest tenth)
That's why the approximate answer is roughly 71.6 degrees
Answer:
8.8 or 8(4/5) or 44/5
Step-by-step explanation:
x-(-5x) = x+44
6x= x+44
5x=44
x=44/5 = 8.8
8.8-(-5*8.8) =8.8+44
8.8+44 = 8.8+44
