How is 0! (zero factorial) equal to 1 (mathematical proof)?

Answers

Answer 1

Answer:

What it means is that you first start writing the whole number n then count down until you reach the whole number 1. For the equation to be true, you must force the value of zero factorial to equal 1, and no other. ...

Step-by-step explanation:

Answer 2

Because while doing n!, you first start writting the number n then count down until you reach the writting 1

That's why, even if its 0! you still write the number 1.


Related Questions

Who is good with products? If you are then please answer this!!!

Answers

Answer:

ot would be the second and the third answer

Step-by-step explanation:

I'm just really good at them

Which statement is true?
0
A. 8x and 8y are like terms.
B. 8 and x are like terms.
C. 8x and x are like terms.
O
D. 8x and 8 are like terms

Answers

The answer is C

It’s C because like terms have the same variable.

The Patel family looks at map to plan their family vacation. They plan to travel from Smithville to Jonesville, which are 3 3/4 inches apart on the map. Then they plan to travel from Jonesville to Clarksville, which are 5 1/4 inches apart on the map. The scale on the map is 1/2 inch equals 4 miles. What is the actual distance the Patel family will travel by the time they reach Clarksville? Enter your answer in the box

Answers

Answer: 72 miles

Step-by-step explanation:

The total distance from Smithville to Clarksville will be:

= 3 3/4 + 5 1/4

= 9 inches

Since the scale on the map is:

1/2 inch = 4 miles

1 inch = 4 × 2 = 8 miles

Therefore, 9 inches will be:

= 9 × 8 = 72 miles

The actual distance that the Patel family will travel by the time they reach Clarksville will be 72 miles.

OMG LAST QUESTION IDNSKSNKSKNDLKNKNDK

Answers

Answer:

1. 38 gallons per gas, 2. $3.74 per gallon

Step-by-step explanation:


10. What is the ratio of the trigonometric ratio? Simplify as needed. *

Answers

12/35

tan = opp/adj

tan = 12/35

Find the value of the monomial: 12x^2y for x =-0.3, y=1/6

Answers

Answer:

0.18

Step-by-step explanation:

12(-0.3)^2(1/6)

6(2(-0.3)^2(1/6)

cancel the common factor

2(-0.3)^2

2X0.09

=0.18

Follow the steps below to create an expression:

Start with the variable x
. Multiply by 4
. Add 3
. Multiply by 2
Subtract 7
Please help me out

Answers

Answer:

4x+3(2)-7

Step-by-step explanation:

23 PTS
Points (−6, 3) and (−6, −3) on the coordinate grid below show the positions of two dogs at a park:

(image attached)

Which statement best describes the relationship between the positions of the two players?

A) Dog 1's position is Dog 2's position reflected across the y-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.

B) Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.

C) Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the x-coordinates of Dog 1 and Dog 2 are different.

D) Dog 1's position is Dog 2's position reflected across the y-axis; only the signs of the x-coordinates of Dog 1 and Dog 2 are different.

Answers

Answer:

B

Step-by-step explanation:

could you pls find the surface area​

Answers

Step-by-step explanation:

to find the area of the prism the given formula is,

perimeter× height

525 i think in i think

If a rectangle's long side is 2x - 2, and the short side is 3, what is the area of the rectangle?

Answers

Answer:

I don’t know the answer I just need some points to ask more questions !!! have a good day !!

Step-by-step explanation:

Complete the square to re-write the quadratic function in vertex form:
y = x2 + 72 +6

Answers

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Which of the following ordered pairs is a possible solution to the equation y=1/2x+3 ?



a) (0, 3)

b) (1, -2.5)

c) (0, -3)

d) (-1, -2.5)

Answers

Y=3 The answer is a.

graph 9x+15y=45

help ?​

Answers

If you need help with graphing desmos is the way to go

Annie wants to create a right triangle with side lengths 12 centimeters, 35 centimeters, and
37 centimeters.
Is this possible? Why or why not?
Yes, because 12 + 35 is not equal to 37.
Yes, because 12? + 352 is equal to 372
No, because 12 + 35 is greater than 37.
No, because 12? + 352 is less than 372.

Answers

Answer: yes because 12^2+35^2=37^2

Step-by-step explanation:

c
72 ft
54 ft
What is the length of the hypotenuse?
C =
feet

Answers

Answer:

90 ft

This is because if you follow the Pythagorean Theorem

[tex]a^2 + b^2 =c^2[/tex]

[tex]54^2 + 72^2 = c^2[/tex]

[tex]8100 = c^2[/tex]

[tex]\sqrt{8100}=\sqrt{c^2}[/tex]

[tex]c = 90[/tex]

It takes Evan 6 3/4 hours to mow 3 lawns .It takes him 2 1/3 hours to mow

Answers

Answer:

It takes him  hours to mow the third lawn

Explanation:

We are given that Evan takes  hours to mow Mr. Gals lawn and  hours to mow Mrs. Lee's lawn

This means that:

Time taken to mow the two lawns =  hours

Now, we are given that the time taken to mow the three lawns is  hours

This means that:

Time taken to mow the third lawn =  hours

Hope this helps :)

(7.4A) A delivery truck drove an average of 42
miles per hour. It took 2 hours and 15 minutes
to travel between two towns. What is the
distance between the two towns?

Answers

Answer:

Step-by-step explanation:

equals=​rt, where d is​ distance, r is​ rate, and t is time Dist = rate*time D = 42 mph *4 hrs = 168 miles Cheers, Stan H.

Please help! :)) if you want BRIANLEIST! :D

Answers

Answer:

1/32

Step-by-step explanation:

A unit fraction is a fraction that has a numerator of 1.

The numerator is the number on top in a fraction.

Solving Equations
ve
x + 14 = 7x + 32 - 3x

Answers

Answer:

-6

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

x+14=7x+32−3x

x+14=7x+32+−3x

x+14=(7x+−3x)+(32)(Combine Like Terms)

x+14=4x+32

x+14=4x+32

Step 2: Subtract 4x from both sides.

x+14−4x=4x+32−4x

−3x+14=32

Step 3: Subtract 14 from both sides.

−3x+14−14=32−14

−3x=18

Step 4: Divide both sides by -3.

−3x/−3=18/−3

x=−6

If 40% of the students in the class are boys, and if there are 15 girls in the class, then how many students are in the class? * 1 point

Answers

Answer:

25

Step-by-step explanation:

15/6.0=2.5

2.5x4=10

2.5x6=15

10+15=25

10 boys and 15 girls

Answer:

25

Step-by-step explanation:

Let's set up "x" as the total number of students. So now we can set up an equation:

40%x+15=x rewritten as:

.4x+15=x Subtract .4x from both sides will give us:

 

15=.6x Now divide each side by .6 to be:

25=x Therefore we know there are 25 students in the class.

Make sense?

7. Which graph matches the inequality ?
12 points
x > 6

Answers

Answer:

it's the Option 2

Explanation;

since x has to be greater than 6 the line would go to the right or towards the greater side.

Then it's a open circle because it's strickly greater than

top right - open circle pointing to right

I'm not the smartest but um does anybody know what my teacher means by this? Do I do all the evens or:

"You dont need to do ALL the evens...do EVERY OTHER EVEN, that way there are only 15 problems"​

Answers

Answer:

This is the even numbers out of 100. So Do every other one so in you case 2,4,6,8,10,12,14,16,18,20,22,24,26,28,30.And all them problem you do add up to 15 total of what you completed( why they said there will only be 15 problems AKA the ones you solve)

Step-by-step explanation:

Hope this helps :)

If l \\ m, find the value of x and y

Answers

Answer:

x is a horizontal line and y is a vertical line

what is the slope of a line that goes through these 2 points? (-2, 1) (2, -3)

Answers

answer: -1
explanation:
y2-y1/x2-x1
-3-1/2-(-2)= -4/4= -1

Answer:

-1

Step-by-step explanation:

HELP I NEED ANSWERS FAST ITS E.L.A

1. Select the interjection in the sentence.

These cookies that my Mom baked are Delicious, huh?

Answers

“huh” is the interjection!

Answer:

An interjection is an exclamation or sudden expression within a sentence that has no real connection to it. Common examples include ouch and well. Looking at a list of interjections for kids may further explain this simple definition. An interjection is almost any word in English that you can insert into a sentence to convey emotions.

2.these cookies that my mom baked are smell Delicious.

Step-by-step explanation:

Find the image of (1, 2) after a reflection about the x-axis followed by a reflection about the y-axis

Answers

Answer:

-1

Step-by-step explanation:

21. Loans Based on past experience, a bank believes that 7% of
the people who receive loans will not make payments on time.
A bank auditor randomly selects 200 loans.
a) What are the mean and standard deviation of the proportion
of clients in this group who may not make timely payments?

Answers

Answer:

Step-by-step explanation:

Mean 0.7 and standard deviation 0.018

p = 0.07

n = 200

q = 1 - 0.07 which = 0.93

u = 0.07

o = (p * q) / n = [tex]\sqrt{(0.07)(0.93)/200}[/tex] = 0.018

What is the volume of a cube with an edge length
of 2/3 foot?

Answers

Answer:

V= 512 inches or, 42.67 feet

Step-by-step explanation:

So a cube has the same length on all sides so you would multiply length times with times area or V = a^3

So, 2/3 foot is equal to 8 inches so you would do V = 8^3 which would get you the answer,

6 3/5 - 2 4/11=?

Show your work :)

Answers

Answer:

4.23636363636 is the ans☺️:)

Step-by-step explanation:

Thanku♥️
Conversion a mixed number 6 3/
5
to a improper fraction: 6 3/5 = 6 3/
5
= 6 · 5 + 3/
5
= 30 + 3/
5
= 33/
5


To find new numerator:
a) Multiply the whole number 6 by the denominator 5. Whole number 6 equally 6 * 5/
5
= 30/
5

b) Add the answer from previous step 30 to the numerator 3. New numerator is 30 + 3 = 33
c) Write a previous answer (new numerator 33) over the denominator 5.

Six and three fifths is thirty-three fifths
Conversion a mixed number 2 4/
11
to a improper fraction: 2 4/11 = 2 4/
11
= 2 · 11 + 4/
11
= 22 + 4/
11
= 26/
11


To find new numerator:
a) Multiply the whole number 2 by the denominator 11. Whole number 2 equally 2 * 11/
11
= 22/
11

b) Add the answer from previous step 22 to the numerator 4. New numerator is 22 + 4 = 26
c) Write a previous answer (new numerator 26) over the denominator 11.

Two and four elevenths is twenty-six elevenths
Subtract: 33/
5
- 26/
11
= 33 · 11/
5 · 11
- 26 · 5/
11 · 5
= 363/
55
- 130/
55
= 363 - 130/
55
= 233/
55

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(5, 11) = 55. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 5 × 11 = 55. In the next intermediate step the fraction result cannot be further simplified by canceling.
In words - thirty-three fifths minus twenty-six elevenths = two hundred thirty-three fifty-fifths.
Result
6 3/5 - 2 4/11 = 233/
55
= 4 13/
55
≅ 4.2363636

2+[tex]2+\frac{3}{4}x=\frac{5}{12}[/tex]

Answers

Answer:

x = -19/4

Step-by-step explanation:

Given the equation 2+3/4x =  5/12. We are to find the value of x

2+3/4x = 5/12.

3/4 x = 5/12 - 2

3/4 x = (5-24)/12

3/4 x = -19/12

Cross multiply

3x * 12 = -19 * 4

36x = -76

x = -76/36

x = -19/4

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