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m_a_m_a [10]
2 years ago
11

Evan tosses a ball from the roof of a building. The path of the ball can be modelled

Mathematics
1 answer:
DiKsa [7]2 years ago
5 0

Answer:

Please find attached sketch of the path of the ball, having plot area and plot points, created with MS Excel

Step-by-step explanation:

Question;

The equation representing the path of the ball obtained from a similar question posted online are;

h₁ = -4·(t + 1)·(t - 5), h₂ = -4·(t - 2)² + 36, h₃ = -4··t² + 16·t + 20

The above equations represent the same path

The equation, h₁ = -4·(t + 1)·(t - 5), gives the roots of the height function, h(t), used in determining the height of the ball after time <em>t</em>

At (t + 1) = 0 (t = -1) or at (t - 5) = 0 (t = 5), the ball is at ground level

The ball reaches the ground, is at ground level at t = 1, and at t = 5 seconds after being tossed, where h(t) = 0

The equation of the path of the ball in vertex form, y = a·(x - 2)² + k, is h₂ = -4·(t - 2)² + 36, where, by comparison, we have;

The vertex of the ball = The maximum height reached by the ball  = (h, k) = (2, 36)

The coefficient of the quadratic term, t², is negative, therefore, the shape of the parabola is upside down, ∩, shape

The sketch of the path of the ball created with MS Excel, used in plotting the vertex, the initial value and the root points of the parabola, through which the ball passes and joining of the points with a 'smooth' curve is attached

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scZoUnD [109]

Answer:

0.25 = 25%

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10 players did <u><em>NOT </em></u> like their positions.

(the 2 teams is a trick to throw you off)


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3 years ago
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marysya [2.9K]

Answer:

see explanation

Step-by-step explanation:

(5)

Since ∠EBA = 90° then ∠ABD = 90° ( straight angle ) and

∠ABC + ∠CBD = ∠ABD, that is

2x + 3x - 10 = 90, simplifying

5x - 10 = 90 ( add 10 to both sides )

5x = 100 ( divide both sides by 5 )

x = 20, thus

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4x - 18 = 3x + 7 ( vertical angles are congruent )

Subtract 3x from both sides

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Subtract 5y from both sides

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7 0
2 years ago
3.8+(-4.8+(-6.2))=(3.8+(-4.8))+(-6.2)
katrin [286]

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3 0
3 years ago
100 decreased by 50% and 150 decreased by 60%<br><br><br> Compare
sertanlavr [38]

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2 years ago
Most college-bound students take either the SAT(Scholastic Assessment Test) or the ACT (which originally stood for American coll
Jlenok [28]

Answer:

Luis would need to have a SAT score of 574.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Nicole's z-score:

ACT scores have a mean of about 21 with a standard deviation of about 5, which means that \mu = 21, \sigma = 5

Nicole gets a score of 24, which means that X = 24. Her z-score is:

Z = \frac{X - \mu}{\sigma}

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What score would Luis have to have on the SAT to have the same standardized score(z-score) as Nicole's standardized score on the ACT?

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SAT scores have a mean of about 508 with a standard deviation of about 110, which means that \mu = 508, \sigma = 110.

The score is:

Z = \frac{X - \mu}{\sigma}

0.6 = \frac{X - 508}{110}

X - 508 = 0.6*110

X = 574

Luis would need to have a SAT score of 574.

8 0
2 years ago
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