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viktelen [127]
2 years ago
6

suppose 84% of students chose to study spanish their junior year,. and that meant that there were 378 such students. How many st

udents chose not to take spanish their junior year?
Mathematics
1 answer:
murzikaleks [220]2 years ago
6 0

Let x be the total of students in their Junior Year.

So, 84% of x =378

84% = 0.84

0.84x=378 (divided by 0.84)

x= 450 students.

The ones that chose not to take spanish will be:

450-378=72

72 students chose not to take spanish in their junior year.

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Choose the kinds of symmetry the following figure has: point, line, plane, or none.
algol [13]
<h3>Answer: Choice A) None</h3>

Explanation:

Can we rotate the figure some angle smaller than 360 degrees and have it match up with its original image? The answer to that is "no". Any such rotation will change the image to something else. Therefore, this figure does not have any point symmetry (aka rotational symmetry).

Can we reflect one half of the figure over some line to get the other half? The answer here is also "no". The diagram has no reflectional symmetry either.

Plane symmetry is ruled out because that only applies to 3D settings.

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2 years ago
Two planes start from los angeles international airport and fly in opposite directions. the second plane starts 1/2 hour after t
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Let x = first plane's speed.  
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4 years ago
Use the vertical line test to determine if y is a function of x in the given graph.
abruzzese [7]

Answer:

Yes.

Step-by-step explanation:

Two dots (or segments) on the vertical line would result in the graph not to be a function.

(see picture)

4 0
3 years ago
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Part 2: Identify the vertex, focus, and directrix of each. Then sketch the graph.
Andre45 [30]

Answer:  \bold{1.\quad \text{Vertex}}:(-3,-6)\qquad \text{Focus}:\bigg(-3,-\dfrac{17}{4}\bigg)\qquad \text{Directrix}:y=-\dfrac{19}{4}

               2.  Vertex: (-5, 4)           Focus: (-6, 4)                 Directrix: x = -4

<u>Step-by-step explanation:</u>

The vertex form of a parabola is y = a(x - h)² + k  or  x = a(y - k)² + h

  • (h, k) is the vertex
  • p is the distance from the vertex to the focus
  • -p is the distance from the vertex to the directrix

    \bullet \quad a=\dfrac{1}{4p}

1) y = (x + 3)² - 6        →       a = 1      (h, k) = (-3, -6)

a=\dfrac{1}{4p}\qquad \rightarrow \qquad 1=\dfrac{1}{4p} \qquad \rightarrow \qquad p=\dfrac{1}{4}\\\\\text{Focus = Vertex + p}\\\\.\qquad =\dfrac{-18}{4}+\dfrac{1}{4}\\\\.\qquad = -\dfrac{17}{4}\qquad \rightarrow \qquad \text{Focus}=\bigg(-3,-\dfrac{17}{4}\bigg)\\\\\\\text{Directrix: y = Vertex - p}\\\\.\qquad \quad y=\dfrac{-18}{4}-\dfrac{1}{4}\\\\.\qquad \quad y= -\dfrac{19}{4}

****************************************************************************************

2.\quad x=-\dfrac{1}{4}(y-4)^2-5\qquad \rightarrow \quad a=\dfrac{1}{4}\qquad (h, k)=(-5,4)

a=\dfrac{1}{4p}\qquad \rightarrow \qquad -\dfrac{1}{4}=\dfrac{1}{4p} \qquad \rightarrow \qquad p=-1\\\\\text{Focus = Vertex + p}\\\\.\qquad =-5+\ -1\\\\.\qquad = -6\qquad \rightarrow \qquad \text{Focus}=(-6,4)\\\\\\\text{Directrix: y = Vertex - p}\\\\.\qquad \quad y=-5+\ -1\\\\.\qquad \quad y= -4

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geniusboy [140]

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