All categories

2 years ago

The height

Mathematics

1 answer:

andre [41]2 years ago

6 0

The ball describes a parabola, as you can see in the attached picture. So, the point where the ball strike the ground is the point where the parabola meets the x axis. In fact, the x-axis is the set of points where y=0, which means that the ball has height 0 or -again- it hits the ground.

So, we have to set y=0 in our equation and look for the positive solution. We have

$-\dfrac{1}{14}x^2+6x+3=0 \iff x=42\pm\sqrt{1806}$

And the positive solution is

$42+\sqrt{1806}$

So that's the distance from the child where the ball strikes the ground.

You might be interested in

A digital camcorder repair service has set a goal not to exceed an average of 5 working days from the time the unit is brought i

garri49 [273]

Answer:

The degrees of freedom first given by:

$df=n-1=12-1=11$

Then we can find the critical value taking in count the degrees of freedom and the alternative hypothesis and then we need to find a critical value who accumulates 0.05 of the area in the right tail and we got:

$t_{\alpha}= 1.796$

And for this case the rejection region would be:

b) Reject H0 if tcalc >1.7960

Step-by-step explanation:

Information given

5, 7, 4, 6, 7, 5, 5, 6, 4, 4, 7, 5.

System of hypothesis

We want to test if the true mean is higher than 5, the system of hypothesis are :

Null hypothesis: $\mu \leq 5$

Alternative hypothesis: $\mu > 5$

The statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

The degrees of freedom first given by:

$df=n-1=12-1=11$

$t_{\alpha}= 1.796$

And for this case the rejection region would be:

b) Reject H0 if tcalc >1.7960

6 0

3 years ago

Photo attached. Thanks in advance!

jonny [76]

A zero in front of the x would make this a difference of two perfect squares. All of the other option would interfere by adding another term.

7 0

3 years ago

Read 2 more answers

joe is in debt $250, but he's saving $30 each month. using the equation, y=30x-250, how long will it take joe to have $230?

Vsevolod [243]

Answer:

Step-by-step explanation:

so in this equation we have 2 variables, and we must figure out what those variables mean:

y: "y" is the total amount of money joe has after subtracting his debt from it

x: "x" is the # of months as the cost of each month(30) is placed just before this variable

as y is the total amount of money joe has we need to substitute it for 230 to figure out how long it took for joe to recieve that much money

230=30x-250

480=30x

x=16

it took joe 16 months to get $230

3 0

3 years ago

Which ordered pair is the best estimate for the solution of the system of equations

Colt1911 [192]

The ordered pair that is the best estimate for the solution of the system of equations is (7, 1/2)

The given system of equations is:

$y=-\frac{1}{2}x + 4.......................(1)\\\\y = \frac{1}{2}x-3..........................(2)$

Equate equations (1) and (2)

$-\frac{1}{2}x + 4=\frac{1}{2}x -3$

Solve for x in the equation above

$-\frac{1}{2}x -\frac{1}{2}x =-3-4\\\\-x=-7\\\\x=7$

Substitute x = 7 into equation (1)

$y=-\frac{1}{2}x + 4\\\\y=-\frac{1}{2}(7) + 4\\\\y=\frac{1}{2}$

The ordered pair that is the best estimate for the solution of the system of equations is (7, 1/2)

Learn more on system of equations here: brainly.com/question/13729904

5 0

2 years ago

A cricket team has a 0.25 chance of losing

Westkost [7]

Answer:

a) 0.125

b) 0.015635

c) 0.00000095367431640625‬

Step-by-step explanation:

a) $0.25^2 = 0.125$

b) $0.25^3 = 0.015625$

c) $0.25^{10} = 0.00000095367431640625\\\\$

8 0

2 years ago

Read 2 more answers