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ohaa [14]
3 years ago
13

Question # 19

Mathematics
1 answer:
Butoxors [25]3 years ago
4 0

Answer:

The correct answer is E. The person who got down at Meritland is older than Yahu, who in turn is older than the person from Lambda.

Step-by-step explanation:

We can conclude that there are three managers, two pilots, and one scientist from the information we're given. Since the youngest among the passengers is Zane, a scientist, his age must be 31. The passengers from Beta and Alpha are pilots, whereas the people from Gamma, Delta, and Kappa are all managers. This means that the passenger who is the scientist must be from Lambda. The passenger who got down at Station X is a manager and is under 34 years old.

The passengers from Delta and Alpha are 35 years old. The person from Beta got down at Station Y, while the person from Lambda got down at Station Z. Here’s the final distribution in the attachment:

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The stream of water from a fountain follows a parabolic path. The stream reaches a maximum height of 7 feet, represented by a ve
xenn [34]

First of all, I'm going to assume that we have a concave down parabola, because the stream of water is subjected to gravity.

If we need the vertex to be at x=4, the equation will contain a (x-4)^2 term.

If we start with y=-(x-4)^2 we have a parabola, concave down, with vertex at x=4 and a maximum of 0.

So, if we add 7, we will translate the function vertically up 7 units, so that the new maximum will be (4, 7)

We have

y = -(x-4)+7

Now we only have to fix the fact that this parabola doesn't land at (8,0), because our parabola is too "narrow". We can work on that by multiplying the squared parenthesis by a certain coefficient: we want

y = a(x-4)^2+7

such that:

  • a
  • when we plug x=8, we have y=0

Plugging these values gets us

0 = a(8-4)^2+7 \iff 16a+7=0 \iff a = -\dfrac{7}{16}

As you can see in the attached figure, the parabola we get satisfies all the requests.

3 0
3 years ago
Please explain how to do this im confused
Anit [1.1K]

Answer:

70° , 70°

Step-by-step explanation:

The 2 angles are corresponding and are congruent, then

23x + 1 = 4 + 22x ( subtract 22x from both sides )

x + 1 = 4 ( subtract 1 from both sides )

x = 3

Then the angles are

23x + 1 = 23(3) + 1 = 69 + 1 = 70°

4 + 22x = 4 + 22(3) = 4 + 66 = 70°

8 0
3 years ago
Read 2 more answers
At a restaurant there are 10 different dipping sauces, 3 are fatfree. If you randomly chose 3 different sauces what is the proba
wolverine [178]

Answer:

Step-by-step explanation:3 - 2 i think

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3 years ago
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If angle vuw = 4x+6 and wut = 6x+10 what is the measure of wut
Damm [24]

Answer:

C, 38°

Step-by-step explanation:

ray UW is the angle bisector of ∠VUT

--> m∠VUW = m∠WUT = 1/2 m∠VUT

<=> 4x + 6 = 6x - 10

<=> 6 + 10 = 6x - 4x

<=> 2x = 16

<=> x = 8

So, the measure of m∠WUT is: 6x - 10 = 6 . 8 - 10 = 48 - 10 = 38°

4 0
3 years ago
30 POINTS
lesantik [10]

Answer: (26996, 42744)

Step-by-step explanation: N/A

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