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3 years ago

8

A baseball team has 4 pitchers, who only pitch, and 12 other players, all of whom can play any position other then pitcher. For

Saturday’s game, the coach has not yet determined which 9 players to use nor what the batting order will be, except that the pitcher will bat last. How many different batting orders at occur?

1 answer:

AVprozaik [17]3 years ago

8 0

Answer::2,075,673,600 batting orders may occur.

Step-by-step explanation: A baseball team has 4 pitchers, who only pitch, and 12 other players, all of whom can play any position other then pitcher.

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Need this badly!!!!!!

prohojiy [21]

<h2>Hello!</h2>

The answer is:

The center of the circle is located on the point (-9,-2) and the radius is 6 units.

<h2>Why?</h2>

To solve the problem, we need to use the given equation which is in the general form.

We are given the circle:

$x^{2}+y^{2}+18x+4y+49=0$

We know that a circle can be written in the following form:

$(x-h)^{2}+(y-k)^{2}=r^{2}$

Where,

h is the x-coordinate of the center of the circle

k is the y-coordinate of the center of the circle

r is the radius of the circle.

So, to find the center and the radius, we need to perform the following steps:

- Moving the constant to the other side of the equation:

$x^{2}+y^{2}+18x+4y=-49$

- Grouping the terms:

$x^{2}+18x+y^{2}+4y=-49$

- Completing squares for both variables, we have:

We need to sum to each side of the equation the following term:

$(\frac{b}{2})^{2}$

Where, b, for this case, will the coefficients for both terms that have linear variables (x and y)

So, the variable "x", we have:

$x^{2} +18x$

Where,

$b=18$

Then,

$(\frac{18}{2})^{2}=(9)^{2}=81$

So, we need to add the number 81 to each side of the circle equation.

Now, for the variable "y", we have:

$y^{2} +4y$

Where,

$b=4$

$(\frac{4}{2})^{2}=(2)^{2}=4$

So, we need to add the number 4 to each side of the circle equation.

Therefore, we have:

$(x^{2}+18x+81)+(y^{2}+4y+4)=-49+81+4$

Then, factoring, we have that the expression will be:

$(x+9)^{2}+(y+2)^{2}=36$

- Writing the standard form of the circle:

Now, from the simplified expression (after factoring), we can find the equation of the circle in the standard form:

$(x+9)^{2}+(y+2)^{2}=36$

Is also equal to:

$(x-(-9))^{2}+(y-(-2))^{2}=36$

Where,

$h=-9\\k=-2\\r=\sqrt{36}=6$

Hence, the center of the circle is located on the point (-9,-2) and the radius is 6 units.

Have a nice day!

3 0

3 years ago

Helppppppp meeeee..........

statuscvo [17]

Answer:

So the answer is zero slope, since the line is parallel to x-axis

3 0

3 years ago

Read 2 more answers

Solve for N. -N/5 = -5

VikaD [51]

Answer:

5

Step-by-step explanation:

6 0

3 years ago

You are tossing an apple. After t seconds, the height of the apple in feet is given by h = -16t2 + 38.4t + 0.96. What is the dom

Nesterboy [21]

Using function concepts, it is found that the domain is 0 ≤ t ≤ 2.4, given by option C.

----------------------

The height of the apple after t seconds is given by:

$h(t) = -16t^2 + 38.4t + 0.96$

The domain of a function is the <u>set that contains all possible input values.</u>
The possible input values for this situation are the values of t between 0 and the instant in which the apple hits the ground, which is t for which $h(t) = 0$ .

----------------------

$h(t) = -16t^2 + 38.4t + 0.96$

Which is a quadratic equation with $a = -16, b = 38.4, c = 0.96$

To find the solutions:

$\Delta = b^2 - 4ac = (38.4)^2 - 4(-16)(0.96) = 1536$

$t_1 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{-38.4 + \sqrt{1536}}{2(-16)} = -0.0247$

$t_2 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{-38.4 - \sqrt{1536}}{2(-16)} = 2.4$

The apple is in the air for 0 ≤ t ≤ 2.4, which means that the domain is given by option C.

A similar problem is given at brainly.com/question/23932338

7 0

3 years ago

The ratio of the number of sheep to the number of horses on a farm is 8:3. If there are 42 horses on the farm, how many sheep ar

Alenkinab [10]

Well, if there are 3 sheep for every 8 horses then there should be 15.75 sheep.

.......you divide 42 by 8 to find the number of horses (5.25) and then multiply that by 3 (15.75).

I hope this helps you.

3 0

3 years ago