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MissTica
3 years ago
6

The prices of karaoke at 6 different stores are $77, $85, $78, $72, $80 and $118. What is the outlier in tbe data set?

Mathematics
1 answer:
julsineya [31]3 years ago
8 0
$118 is the outliner because it is the furthest away in price compared to the rest.
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Need help with 7A plz
Eduardwww [97]
A) area of square = base*height/////Triangle= 0.5*base*height

=(a^1/3*b^3/4)*(a^2/3*b^1/2)+(1/2*a^1/3*b^3/4*a^2/3*b^1/4)
=(a^1*b^5/4)+(1/2*a^1*b^1)
=(a*b^5/4)+(1/2*a*b)

B) a^2+b^2=c^2 (pythagorean theorem)
   ((27^2/3)*(16^1/4))^2 +  (27^1/3)*(16^3/4)   
     (9*2=(18^2))=324 +  (3*8= 24^2)= 576
      324+576= 900
     (900)^1/2= 30
hypotenuse= 30

C)( a^2/3*b^1/2)= 36*2(two sides)= 72
    (a^1/3b^3/4)=24
    (a^2/3*b^1/4)= 18
  72+24+18+30(hypotenuse)= 144=perimeter
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3 years ago
What is 40 to the second power
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40 to the second power is 1600!
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3 years ago
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What’s the square root of 24
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The square root of 24 is 2\sqrt{6}.
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The line y = hx - 2 where h > 0 meets the curve 3y² = 9x² - 6x + 1.
I am Lyosha [343]

Answer:

h=6

Step-by-step explanation:

since y =hx -2 is an equation for a line which intersects with the curve 3y^2 = 9x^2 - 6x +1. The point of intersection, let's say (x_1,y_1), should satisfy the two equations. As a result, the value of y in the second equation can be replaced with the value of y in the first equation as the following,

3y^2 = 3(hx-2)^2 = 9x^2 - 6x +1\\3(h^2x^2 -4hx + 4) = 9x^2 - 6x + 1\\3h^2 x^2 -12hx +12 = 9x^2 - 6x +1

therefore, the latter equation can be rewritten in a quadratic equation form as the following,

(9 - 3h^2) x^2 + (12h-6)x + (1-12) = (9 - 3h^2) x^2 + (12h-6)x -11 = 0

if the line is tangent to the curve, it means that the line touches the curve at one point, therefore the discernment of the second order equation will be equal to zero for the famous quadratic equation solution.

b^2 -4ac =0

where a=9-3h^2, b=12h-6 and c=-11, as a result, the following equations can be deduced,

(12h-6)^2 - 4*(9-3h^2)*(-11) = (144h^2 -144h +36) - (36 -12h^2)*(-11)=\\(144-(-12)*(-11)h^2 )  -144h +36 -(36*(-11)) =\\12 h^2 -144h +432 =0

therefore, dividing both sides by 12

h^2 -12 +36 =0\\(h-6)^2 =0\\h=6

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What kind of shape is it?
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