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
jasenka [17]
3 years ago
6

How many 12-digit decimal sequences are there that start and end with a sequence of at least two 3s?

Mathematics
1 answer:
stiks02 [169]3 years ago
6 0
Four positions of such a sequence are given to be 3s, and we have 10 choices for the remaining eight positions. So the number of such sequences is

1^4\cdot10^8=10^8=100,000,000

or 100 million.
You might be interested in
Can someone please explain to me how to do this.
JulijaS [17]
Y = x² - 4x + 4
y = 2x - 4

Find intersection of L and C:
x² - 4x + 4 = 2x - 4
x² - 6x + 8 = 0
<span> (x - 2)(x - 4) = 0
x = 2 or x = 4

When x = 2 , y = 2(2) - 4 = 0
When x = 4, y = 2(4) - 4 = 4

Points of intersection = A(2, 0) and B(4, 4)

Find the length of AB:

</span>&#10;\text {Length of AB}=  \sqrt{(4-0)^2 + (4-2)^2} =  \sqrt{16 + 4} = \sqrt{20}  = 4.47 \text{ units}
<span>
Answer: 4.47 units

</span>
4 0
3 years ago
A pizza is cut into 8 equal pieces. A person who eats 1/2 of one piece eats what fraction of the pizza?
Rudik [331]
The person eats 1/16 of the pizza
5 0
3 years ago
Number 17 and 18 please and thank you
Mashutka [201]
17. All
18. B because it can be symmetrical either way
3 0
3 years ago
Commission is paid at 12%. i sold $2860 worth of office equipment. what was the commission
S_A_V [24]
2860 times .12 equals $343.20
7 0
3 years ago
Verify a(b-c)=ab-ac for a=1.6;b=1/-2;&amp; c=-5/-7​
harina [27]

Given:

a=1.6,b=\dfrac{1}{-2},c=\dfrac{-5}{-7}

To verify:

a(b-c)=ab-ac for the given values.

Solution:

We have,

a=1.6,b=\dfrac{1}{-2},c=\dfrac{-5}{-7}

We need to verify a(b-c)=ab-ac.

Taking left hand side, we get

a(b-c)=1.6\left(\dfrac{1}{-2}-\dfrac{-5}{-7}\right)

a(b-c)=1.6\left(-\dfrac{1}{2}-\dfrac{5}{7}\right)

Taking LCM, we get

a(b-c)=1.6\left(\dfrac{-7-10}{14}\right)

a(b-c)=\dfrac{16}{10}\left(\dfrac{-17}{14}\right)

a(b-c)=\dfrac{8}{5}\left(\dfrac{-17}{14}\right)

a(b-c)=-\dfrac{68}{35}\right)

Taking right hand side, we get

ab-ac=1.6\times \dfrac{1}{-2}-1.6\times \dfrac{-5}{-7}

ab-ac=-\dfrac{16}{20}-\dfrac{8}{7}

ab-ac=-\dfrac{4}{5}-\dfrac{8}{7}

Taking LCM, we get

ab-ac=\dfrac{-28-40}{35}

ab-ac=\dfrac{-68}{35}

Now,

LHS=RHS

Hence proved.

7 0
2 years ago
Other questions:
  • Given that (4,4) is on the graph of f(x), Find The Corresponding Point for the function f(x)+5
    6·2 answers
  • Beth rides 1 7/32 kristine rides 39/32 who rides the farthest
    15·1 answer
  • Which expression is equivalent to 6(8-n)-8
    6·1 answer
  • Rename the number 24 ten thousands
    10·2 answers
  • pLEASE HELP ME!!! this is due tonight! In a certain fraction, the denominator is 5 less than the number. If 3 is added to both t
    11·1 answer
  • There were a total of 800 novels and nonfiction books at a book shop. 2/5 of these books were novels. Each novel was priced at $
    7·1 answer
  • Decide if the situation involves​ permutations, combinations, or neither. Explain your reasoning. The number of ways a four dash
    10·1 answer
  • 4. Find f(2) if f(x) = 2x + 1.
    9·2 answers
  • I NEED HELP!!!!!!!!!!!!!!!!!!
    13·1 answer
  • What is the answer to 7x+5y=-66<br>​
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!