All categories

3 years ago

Evaluate 9 P 5. 15,120 45 362,880

Mathematics

2 answers:

Andreas93 [3]3 years ago

8 0

The answer------> 9*8*7*6*5 = 15120

Sergio [31]3 years ago

8 0

Answer: 15,120

Step-by-step explanation:

The number of permutations of n objects taken r at one time $^nP_r$ is calculated by the following formula:

$^nP_r=\frac{n!}{(n-r)!}$

Now, the given expression is $^9P_5$

by using the above formula , we get

$^9P_5=\frac{9!}{(9-5)!}\\\\=\frac{9!}{4!}\\\\=\frac{9\times8\times7\times6\times5\times4!}{4!}\\\\=9\times8\times7\times6\times5=15120$

Hence, $^9P_5=15,120$

You might be interested in

What is the 5% of 300

garik1379 [7]

15
300*5/100 =15
That's all

5 0

3 years ago

Read 2 more answers

HELP ME PLS stock worth $60 a share dropped in value by 20% on Monday. Then it dropped again by 10$ the next Tuesday. And finall

fgiga [73]

Answer:

58.90

Step-by-step explanation:

3 0

2 years ago

What is 11 1/2 + 10 11/16=

ahrayia [7]

Hey!

To solve this equation, we must first convert the mixed numbers into improper fractions. To do that we'll multiply the denominator by the whole number and add the total to the numerator.

Original Equation :

$11\frac{1}{2} + 10\frac{11}{16} = ?$

New Equation {Converted Mixed Numbers Into Improper Fractions} :

$\frac{23}{2} + \frac{171}{16} = ?$

Now that we've successfully changed our equation, we'll move onto the next step. Next we'll have change the fractions one more time so that the denominators are the same. To do that we'll multiply two by eight to get sixteen. We'll also be multiplying the top portion of the fraction by eight, because whatever you do to the bottom must also be done to the top; And vise versa.

Fraction Conversion :

$\frac{23*8}{2*8} = \frac{184}{16}$

So, now that we have our new fraction we can go ahead and plug that into our equation so we can start adding. Remember, we don't add the denominators, just the numerators.

Old Equation :

$\frac{23}{2} + \frac{171}{16} = ?$

New Equation {Input New Fraction With Common Denominator} :

$\frac{184}{16} +\frac{171}{16} = ?$

Solution {New Equation Solved} :

$\frac{355}{16}$

Now I'm not exactly sure how your instructor will accept your answer, but most prefer the final answer to be in the simplest form. In other words, they don't want it in the form of an improper fraction. They'd most likely rather have it as a mixed number.

New Solution {Converted to a Mixed Number} :

$22\frac{3}{16}$

Since the fraction cannot be simplified anymore, this should be our final answer.

So, this means that the answer to the equation is $22\frac{3}{16}$ .

Hope this helps!

- Lindsey Frazier ♥

5 0

3 years ago

Read 2 more answers

How do you solve 2y-7y=5

scZoUnD [109]

Answer:

$y=-1$

Step-by-step explanation:

1. Combine like terms

2y-7y = -5y

-5y=5

2. Divide by -5 and the answer is $y=-1$

6 0

3 years ago

The graph of F(x) shown below resembles the graph of G(x) = x ^ 2 but it has been changed somewhat . Which of the following coul

Lorico [155]

Answer:

f(x) = 3 $x^{2}$ + 2

Step-by-step explanation:

I think your question missed key information, allow me to add in and hope it will fit the orginal one because I answered this question once in Brainly as well. Please have a look at the attached photo.

My answer:

Given G(x) = $x^{2}$

As we can see, the graph of f(x) is 2 units above the graphof g(x) in vertical (vertical shift)

=> f(x) = a $x^{2}$ + 2

As you can see, the graph of f(x) is stretched vertically by a dilation factor of 3 and there is no reflection, so a= 3

=> the equation of f(x) is: f(x) = 3 $x^{2}$ + 2

Hope it will find you well.

5 0

3 years ago