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jeyben [28]
3 years ago
8

Tamia watched 1 2 of a movie in the morning, and she watched some more at night. By the end of the day, she still had 1 3 of the

movie left to watch. How much of the movie did Tamia watch at
Mathematics
1 answer:
KonstantinChe [14]3 years ago
8 0

Answer: Tamiya watched \dfrac16 of the movie at night.

Step-by-step explanation:

Let x = part of movie watched at night.

Given  : Tanya watched \dfrac12 of movie in the morning.

Part left to watch = \dfrac13

As per given, we have

\dfrac12+x+\dfrac13=1\\\\\Rightarrow\ x=1-\dfrac13-\dfrac12\\\\\Rightarrow\ x=\dfrac{6-2-3}{6}\\\\\Rightarrow\ x=\dfrac16

Hence, Tamiya watched \dfrac16 of the movie at night.

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By definition. The volume of the sphere is:
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 Substituting values:
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 Clearing the radio we have:
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 r = ((3/4) * (2254)) ^ (1/3)
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 Then, the surface area is:
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Consider the quadratic function f(x) = –2x2 + 4x – 2. Find the y-intercept and the equation of the axis of symmetry.
RoseWind [281]

Answer:

The y-intercept is -2

The equation of the axis of symmetry is x = 1 ⇒ 3rd answer

Step-by-step explanation:

* Lets revise the general form of the quadratic function

- The general form of the quadratic function is f(x) = ax² + bx + c,

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# a is the coefficient of x²

# b is the coefficient of x

# c is the y-intercept

- The meaning of y-intercept is the graph of the function intersects

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- The axis of symmetry of the function is a vertical line

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- We can find the vertex (h , k) of the curve from a and b, where

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∵ f(x) = -2x² + 4x - 2

∴ a = -2 , b = 4 , c = -2

∵ The y-intercept is c

∴ The y-intercept is -2

∵ h = -b/2a

∴ h = -4/2(-2) = -4/-4 = 1

∴ The equation of the axis of symmetry is x = 1

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