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arsen [322]
2 years ago
9

Evaluate the factorial expression. 11! — (11-2)!

Mathematics
2 answers:
trapecia [35]2 years ago
8 0

Step-by-step explanation:

11!/9!

then we calculate ,

11×11+11×10+............+11×0/9×9+9×8+9×7+.....9×0

Anastaziya [24]2 years ago
5 0

Answer:

110

Step-by-step explanation:

11!

------

(11-2)!

11!

------

9!

11*10*9*8*7*6*5*4*3*2*1

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

9*8*7*6*5*4*3*2*1

We can cancel like terms

11*10

--------

1

110

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Explain when the congruent complements theorem would be appropriate to use in a proof.
Natasha2012 [34]
<span>The congruent complements theorem 2 <span> angles are complements of the same angle (or of congruent angles), then the two angles are congruent.</span></span>
7 0
3 years ago
In order to remove water from a flooded basement, two pumps, each rated at 40 gallons per minute, are used. After half an hour,
Scrat [10]

Answer:

3600 gallons of water was removed from the basement.

Step-by-step explanation:

Given:

Rate of each pump = 40 gallons/min

We need to find find the number of gallons of water removed from the basement.

Solution:

Now Given:

After half an hour, the one pump burns out.

Now we know that;

1 hour = 60 mins

\frac12 hour = \frac{60}{2}=30\ mins

Now for 30 mins both the pumps were working and removing the water.

So we can say that;

Water remove for first 30 mins = 40\times2\times30=2400\ gallons

Also Given:

the second pump finishes removing the water half an hour later.

So we can say that;

Water removed for next 30 mins = 40\times 30\times1 =1200\ gallons

Now we can say that;

Total water removed from the basement is equal to sum of Water remove for first 30 mins and Water removed for next 30 mins .

framing in equation form we get;

Total water removed from the basement = 2400+1200=3600\ gallons.

Hence 3600 gallons of water was removed from the basement.

6 0
3 years ago
The sum of three consecutive odd integers is 153. what is the value of the largest of the integers?
Lelechka [254]
The answers would be 49,51,and53!
6 0
3 years ago
32.8 + # = 100 <br><br> What is #?
Marrrta [24]

Answer:

67.2

Step-by-step explanation:

You take 100 and minus 32.8

it is the same as  10minus 8 is 2 so we right the 2. then 9-2 is 7. and 9-3 is 6

    99.(1)0

-

    32.8

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

    67.2            

5 0
2 years ago
The pollutant PCB (polychlorinated biphenyl) can affect the thickness of pelican eggshells. Thinking of the thickness, T, of the
gayaneshka [121]

Answer:

The expression f(200) depicts the value of the concentration of the pollutant, which when substituted in the expression T = f(P) will give the value of the thickness of the pelican eggs.

Step-by-step explanation:

Since we are given that T = f(P)

Where T = thickness of the eggs

P = concentration in ppm ((parts per million))

Considering f(200) comparing to f(P)

The expression f(200) depicts the value of the concentration of the pollutant, which when substiuted in the expression T = f(P) will give the value of the thickness of the pelican eggs.

i.e substituted the value of the concentration in ppm to get the thickness of the pelican eggs in mm. since the expression shows thickness of pelican eggs as a function of the concentration. for every 200ppm of concentration, the numerical value of the thickness of pelican eggs can be gotten.

6 0
3 years ago
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