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djyliett [7]
3 years ago
14

A projectile is thrown upward so that its distance above the ground after t seconds is h = -16t^2 + 608t. After how many seconds

does it reach its maximum height? A. 38 s
B. 19 s
C. 28.5 s
D. 9 s
Mathematics
2 answers:
babymother [125]3 years ago
8 0

Answer: 19 seconds

Step-by-step explanation:

The equation used to represent the height of the projectile above the ground after t seconds is expressed as

h = -16t^2 + 608t.

The equation is a quadratic equation. The plot of this equation on a graph would give a parabola whose vertex would be equal to the maximum height travelled by the projectile.

The vertex of the parabola is calculated as follows,

Vertex = -b/2a

From the equation,

a = -16

b = 608

Vertex = - - 608/32= 19

So the projectile will attain maximum height at 19 seconds.

nordsb [41]3 years ago
5 0

Answer:

I think the answer to your question is 19 seconds because if you do the math you get a vertex

Step-by-step explanation:

Using a calculator

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If the distribution is really (5.43,0.54)
defon

Answer:

0.7486 = 74.86% observations would be less than 5.79

Step-by-step explanation:

I suppose there was a small typing mistake, so i am going to use the distribution as N (5.43,0.54)

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

The general format of the normal distribution is:

N(mean, standard deviation)

Which means that:

\mu = 5.43, \sigma = 0.54

What proportion of observations would be less than 5.79?

This is the pvalue of Z when X = 5.79. So

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

Z = \frac{5.79 - 5.43}{0.54}

Z = 0.67

Z = 0.67 has a pvalue of 0.7486

0.7486 = 74.86% observations would be less than 5.79

7 0
3 years ago
1. The height in feet of a thrown football is modeled by the function h(t) = -16t2 + 60t +6, where t is time
Triss [41]

Answer:

C) football's height after 3 seconds

Step-by-step explanation:

8 0
3 years ago
Which answer has the smallest value?
Mademuasel [1]

Answer:

The smallest value is 2) the opposite of 50 because it is farthest left of the zero (this makes it the smallest)

Step-by-step explanation:

1) = 100

2) = -50

3) = 0

4) = -25

5) = -5

6 0
3 years ago
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34.1 divided by what equals 22
allochka39001 [22]
I hope this helps you

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Free_Kalibri [48]

Answer:

A) 113 m²

Step-by-step explanation:

Use the formula for area of a circle.

Area of a circle = πr²

π = pi = 3.14 (rounded)

r = radius

² = the power of 2, or the radius (in this case) multiplied by itself.

Note that the radius is given, and it is 6. Plug in 6 for the radius:

A (circle) = π(6)²

First, solve the power. Multiply 6²:

6² = 6 * 6 = 36

Next, multiply 36 with π (3.14):

36 x 3.14 = 113.04

A) 113 m² is your closest answer.

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