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Virty [35]
2 years ago
10

The quadratic function h(t) = -16.1? + 150 models a ball's height, in feet, over time, in seconds,

Mathematics
1 answer:
Sliva [168]2 years ago
5 0
<h2>Hello!</h2>

The answer is: The first graphic representation.

<h2>Why?</h2>

We are given a quadratic equation, meaning that it could be two possible solutions for the exercise, however, we are talking about time, so we have to consider only the obtained positive values.

Let's make the equation equal to 0 in order to find the values of "t"

h(t) = -16.1t^2 + 150

0=-16.1t^2+150

16.1t^2=150

t^2=\frac{150}{16.1} =9.32

t=+-\sqrt{9.32} =+-3.05

t1=3.05

t2=-305

So, discarding the negative value, we can use the possitive value to find the correct graphic representation.

To find the correct graphic representation we must take into consideration the following:

- We must remember that the sign of the coefficient of the quadratic term (t^2) will define if the parabola opens downward or upward.

From the given quadratic (or parabola) equation we have:

a=-1

b=0

c=150

So, since the coefficient of the quadratic term is negative, the parabola opens downward.

- Since we are looking for a graphic that represents the change in height over time, we need to look for a graphic that shows only positive values for the x-axis (time)

- We are looking for a parabola which y-axis intercept is equal to 150.

Therefore, the graphic representation of the quadratic function that models a ball's height over time is the first graphic representation.

Have a nice day!

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Aleonysh [2.5K]
X/2 is the same thing as 1/2x
7 0
3 years ago
The mean preparation fee H&amp;R Block charged retail customers in 2012 was $183 (The Wall Street Journal, March 7, 2012). Use t
astraxan [27]

Answer:

a)0.6192

b)0.7422

c)0.8904

d)at least 151 sample is needed for 95% probability that sample mean falls within 8$ of the population mean.

Step-by-step explanation:

Let z(p) be the z-statistic of the probability that the mean price for a sample is within the margin of error. Then

z(p)=\frac{ME*\sqrt{N}}{s } where

  • Me is the margin of error from the mean
  • s is the standard deviation of the population
  • N is the sample size

a.

z(p)=\frac{8*\sqrt{30}}{50 } ≈ 0.8764

by looking z-table corresponding p value is 1-0.3808=0.6192

b.

z(p)=\frac{8*\sqrt{50}}{50 } ≈ 1.1314

by looking z-table corresponding p value is 1-0.2578=0.7422

c.

z(p)=\frac{8*\sqrt{100}}{50 } ≈ 1.6

by looking z-table corresponding p value is 1-0.1096=0.8904

d.

Minimum required sample size for 0.95 probability is

N≥(\frac{z*s}{ME} )^2 where

  • N is the sample size
  • z is the corresponding z-score in 95% probability (1.96)
  • s is the standard deviation (50)
  • ME is the margin of error (8)

then N≥(\frac{1.96*50}{8} )^2 ≈150.6

Thus at least 151 sample is needed for 95% probability that sample mean falls within 8$ of the population mean.

7 0
3 years ago
How can I solve this problem?​
irina [24]
5x + 5x +3x (like terms)
13x-60=180
180+60=240
240/13=18.4615
X=18.4615

I hope this is correct.
(There are so many different ways to do math problems like this) I hope I could help... sorry if I didn’t.
6 0
3 years ago
a small silver dollar pancake served at the restaurant has a circumference of 2*pi inches. A regular pancake has a circumference
Ludmilka [50]
Pi = 3.14

2*3.14 = 6.28
4*3.14 = 12.56

area = pi [ C/ (2pi)] ^2
C= circumference

area of small = 3.14 (6.28/6.28)^2 =3.14
area of regular = 3.14 (12.56/6.28)^2 = 12.56

12.56/3.14 = 4 

The regular pancake is 4 times the area.



4 0
3 years ago
Find the area of the figure please
Eva8 [605]

Answer:

16m

Step-by-step explanation:

Separate the rectangle from the triangle. The area of the rectange is <u>10m</u>. We know this because <em>l x w</em> (2m x 5m).

Now for the triangle;

The area of a triangle is <em>b x h / 2. </em>We take the full height of the figure and subtract 5 from it giving us 3 which is our height for the triangle. We then see that 2m is on the bottom and we add that 2m to the two separate 1m giving us 4m in total.

Now that we have the base and height of the triangle we plug in giving us 6m. Finally we add both the areas; 10m + 6m = <u>16m</u>.

8 0
3 years ago
Read 2 more answers
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