1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
MAXImum [283]
4 years ago
6

If the sum of $1! + 2! + 3! + \cdots + 49! + 50!$ is divided by $15$, what is the remainder?

Mathematics
1 answer:
kompoz [17]4 years ago
3 0

Answer:

  3

Step-by-step explanation:

All factorials 5 and above are evenly divisible by 15, so have no remainder. Thus, you are interested in ...

  mod(1! +2! +3! +4!, 15) = mod(1 +2 +6 +24, 15)

  = mod(33, 15) = 3

The remainder is 3.

You might be interested in
David runs on a track that is 1/4 mile long he completes it in 1/20 of an hour
posledela

Answer:

<h2> 5mile per hour</h2>

Step-by-step explanation:

Step one:

given data

distance= 1/4mile

time taken= 1/20 hour

Step two:

Required

speed

we know that speed is

speed= distance/time

substituting

speed= 1/4/1/20

speed=1/4*20/1

speeed=20/4

speed=5mile/hour

The option a sis correct, the speed is 5mile per hour

7 0
3 years ago
How do you find the area of a triangle
motikmotik
A=1/2b(h) this is the formula to find the area of a triangle
6 0
3 years ago
Read 2 more answers
What is true about the figure?
wlad13 [49]

Answer:

<A = 56degrees

<B = 34degrees

<C = 56degrees

Step-by-step explanation:

From tyhe diagram, the sum of m<C and m<D is 180degrees. Hence;

<C + <D = 180

<C + 124 = 180

<C = 180 - 124

<C = 56degrees

Also;

<B + 90 + <C = 180

<B + 90 + 56 = 180

<B  + 146 = 180

<B = 180 - 146

<B = 34degrees

Similarly;

<A + <B = 90

<A + 34 = 90

<A = 90 - 34

<A = 56degrees

6 0
3 years ago
Please help me out!​
alukav5142 [94]

Answer:

i think its no soulution

Step-by-step explanation:

the numbers all cancel out

8 0
3 years ago
Read 2 more answers
A radioactive substance decays at a continuous rate of 12% per year, and 90 mg of the substance is present in the year 2000. (a)
Alla [95]

Answer:

A(t) = 90e^0.12t ;

299 mg

Step-by-step explanation:

General Continous growth rate equation :

A = Pe^rt

A = amount present, t years after year of initial amount.

Here,

P = 90 mg, amount in year 2000

r = rate = 12% = 0.12

t = years after 2000

Therefore,

A is written as ;

A(t) = 90e^0.12t

Amount present in year 2010 ;

t = 2010 - 2000 = 10

A(10) = 90e^0.12(10)

A(10) = 90 * e^1.2

= 90 * 3.3201169

= 298.81052

= 299 mg

5 0
3 years ago
Other questions:
  • Mario was visiting the carnival when he noticed a few number relationships.
    11·2 answers
  • Help answer my question
    12·1 answer
  • What is 300 yards and 1 min to the unit rate
    14·1 answer
  • Is This Answer Correct (A)
    12·1 answer
  • Have a question!!! Need help!!!!!! Are these correct???? Or Not????
    5·1 answer
  • Find the sum or difference<br><br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B10%7D%20-%20%20%5Cfrac%7B3%7D%7B10%7D%20
    8·1 answer
  • In the current year Aveeno reported net income of $50,400which was a 12% increase over prior year net income Compute prior year
    14·1 answer
  • Can someone help me answer this problem
    8·1 answer
  • 8. How many 1/3 pound hamburger patties can be made out of 9 pounds
    11·2 answers
  • Help will name Brainliest
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!