Answer:
P= 112,490.26207887
P= 112,490 (it should be a whole number for oliy represents the number of humans)
Step-by-step explanation:
1,240,000 = P e^(0.08×30)
1,240,000 = P e^(0.08×30)
________ ____________
e^(0.08×30) e^(0.08×30)
P = 112,490.26207887
or
1,240,000 = P e^(0.08×30)
____________ ____________
11.0231763806 11.0231763806
P = 112,490.26207887
As of April 2006, roughly 50 million web domain names were registered (e.g., ). How many domain names consisting of just two letters in sequence can be formed? How many domain names of length two are there if digits as well as letters are permitted as characters? [Note: A character length of three or more is now mandated.] ANSWER ↓ How many domain names are there consisting of three letters in sequence? How many of this length are there if either letters or digits are permitted? [Note: All are currently taken.] ANSWER ↓ Answer the questions posed in (b) for four-character sequences. ANSWER ↓
Answer:
a) 676, 1296
b) 17576, 46656
c) 456976, 1679616
Step-by-step explanation:
firstly we know that there are 26 letters in the alphabet.
there are 26 ways of choosing the first character and 26 ways choosing the second character,
Therefore, the possible number of domains with two leeter is;
n = 26²
= 26 × 26
= 676
now when the digits are allowed, there are 26 + 10 = 36 characters to be used in total
therefore the possible number of domains with two characters is;
n = 36²
= 36 × 36
= 1296
b)
there are 26 ways of choosing each character
therefore, the possible number of domains with three letters is
n = 26³
= 26 × 26 × 26
= 17576
when the digits are allowed, there are 26 + 10 = 36 characters to be used in total
therefore , the possible number of domains with three characters is;
n = 36³
= 36 × 36 × 36
= 46656
c)
there are 26 ways of choosing each character, therefore the possible number of domains with four letters is;
n = 26⁴
n = 26 × 26 × 26 × 26
n = 456976
when the digits are allowed, there are 26 + 10 = 36 characters to be used in total
therefore, the possible number of domains with four characters is;
n = 36⁴
n = 36 × 36 × 36 × 36
= 1679616
There are 676 domain names consisting of just two letters in a sequence that can be formed.
There are 1296 domain names of length two are there if digits, as well as letters, are per-mitted as characters.
There are 17576 domain names are there consisting of three letters in sequence.
There are 46656 of this length are there if either letters or digits are permitted.
GivenAs of April 2006, roughly 50 million web domain names were registered.
1. How many domain names consisting of just two letters in sequence can be formed?
There are 26 letters in the English alphabet.
Combining 2 domain names with letters alone will be;
[tex]\rm =n^2\\\\ = 26^2\\\\ =26 \times 26\\\\=676[/tex]
2. How many domain names of length two are there if digits, as well as letters, are per-mitted as characters.
If digits are allowed with letters:
There are 10 digits from 0-9.
Therefore 26 letters + 10 digits = 36
[tex]\rm = n^2 \\\\= 36^2 \\\\ = 36 \times 36 \\\\ = 1296[/tex]
3. How many domain names are there consisting of three letters in sequence?
There are 26 ways of choosing each character;
Therefore, the possible number of domains with three letters is;
[tex]= \rm n^3\\\\= 26^3\\\\= 26 \times 26 \times 26\\\\= 17576[/tex]
4. How many of this length are there if either letters or digits are permitted?
The digits are allowed, there are 26 + 10 = 36 characters to be used in total
Therefore, the possible number of domains with three characters is;
[tex]\rm = n^3 \\\\= 36^3 \\\\ = 36 \times 36 \times 36\\\\ = 46656[/tex]
To know more about Digits click the link given below.
https://brainly.com/question/1291874
one leg of a right triangle is 21 centimeters long. The hypotenuse of the triangle is 29 centimeters long. What is the length of the unknown leg?
Answer:
20 cm
Step-by-step explanation:
A2 + B2 = C2
C is your hypotenuses = 29 cm
And one leg of a right triangle is 21 cm long
So we have A2 = (21cm)2 = 441 cm + B2 = (29cm)2 = 841cm
B2 = 841 - 441 = 400
B = √400 = 20
So the third leg of a triangle that has a hypotenuses of 29 cm and one side of a right triangle that is 21 cm long is 20 cm
Help me help me please
Answer:
3
Step-by-step explanation: I guess
At 6 am, the temperature was -5 degrees F. At 9 am, the temperature had risen by 8 degrees F.
By 4 pm, the temperature dropped another 12 degrees F. What integer describes the
temperature now after dropping at 4 pm?
Answer: -9 degrees
Explanartion:
-5+8=3
3-12=-9
Answer:
probably -9 degrees
Step-by-step explanation:
A rancher with 950 ft of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle. what is the function A that models the total area of the four pens.
Answer:
×=4,y=5&/$jfugdji6eg7mghhtbm the best way is to get the latest news
Phoenix has 11200 registered voters. There are two candidates for city council in an upcoming election: A and B. The day before the election, a telephone poll of 400 randomly selected registered voters was conducted. 138 said they'd vote for A, 228 said they'd vote for B, and 34 were undecided. We will assume the actual voting results will be proportional to this survey.
This voter sample suggests that we might expect ______________of the 11200 registered voters to vote for A.
Very confused, and need some clarification. Please explain answer.
Answer:
3,864
Step-by-step explanation:
138/400×11200
=0.345×11200
=3,864
Nicole drove 603 miles in 9 hours.
At the same rate, how many miles would she drive in 11 hours?
Answer:
737 miles
Step-by-step explanation:
v = [tex]\frac{d}{t}[/tex] =[tex]\frac{603 miles }{9 hr} =67 \frac{miles}{hr} \\\\67\frac{miles}{hr} =\frac{d}{11 hr} \\d=737 miles[/tex]
solve this 59 + x = 24
Hey there!
=> 59 + x = 24
=> x = 24 - 59
=> x = -35
Therefore, 59 + (-35) = 24
Answer:
[tex]\boxed{\sf{x=-35}}[/tex]
Step-by-step explanation:
A subtraction property of equations is the subject of this problem.
For the correct answer, you need to isolate x from one side of the equation.
59+x=24
First, switch sides.
x+59=24
Then, subtract by 59 from both sides.
[tex]\sf{x+59-59=24-59}[/tex]
Solve.
[tex]\sf{24-59=-35}[/tex]
[tex]\boxed{\sf{x=-35}}[/tex]
Therefore, the solution is x=-35, which is our answer.
I hope this helps you! Let me know if my answer is wrong or not.
The graph represents the speed at which Pete’s marble travels.
The speed of Stephano’s marble is represented by the equation f = 2.25s, where f is the distance in feet and s is the time in seconds.
Whose marble will reach the 6-foot mark sooner?
Answer:
Step-by-step explanation:
Given the speed of Stephano’s marble is represented by the equation
f = 2.25s, where f is the distance in feet and s is the time in seconds.
To get the marble that will reach the 6-foot mark sooner, we will substitute the value of f = 6 and calculate the value of s as shown:
f = 2.25s
6 = 2.25s
s = 6/2.25
s = 2.67secs
Hence the 6 foot marble will reach after 2.67secs
what is the answer to this equation
(7x-1)+(9x+5)
Use the volume formula to find the volume of the prism.
A. 21 cubic units B. 42 cubic units C. 27 cubic units D. 9 cubic units
Answer:
I'm thinking that the answer is option D
How does 21 compare to 7? How does 21 compare to 3?
Write the numbers to describe the relationships.
21 is _____ times as many as 7.
21 is _____ times as many as 3
Answer:
21 is 3 times as many as 7.
21 is 7 times as many as 3.
Step-by-step explanation:
have a great day
The sum of a number x and 4 is less than 12.
Which of the following inequalities represents this
statement?
Answer:
x+4<12
Step-by-step explanation:
You did not put the inequalities, but that is how the statement would look like. "And" is a clue that we're adding. So, x + 4 would be the first part, and we know when the open part of this symbol '</>' is pointed at a number then that number is greater than the number before it. So, in this case, you'll want to have that symbol pointed at 12 because x + 4 is less than 12.
how to solve this limit problem?
Answer:
Привет, как ты?
самый умный я
Which of the following is a step in simplifying the expression
Answer:
option B
explanation:
[tex]\rightarrow \sf (\dfrac{xy^2}{x^{-3}y^3} )^{-4}[/tex]
multiply powers: [tex]\bold{(a^b)^c = a^{bc}}[/tex]
[tex]\rightarrow \sf \dfrac{x^{-4}y^{2*-4}}{x^{-3*-4}y^{3*-4}}[/tex]
simplify the following
[tex]\rightarrow \sf \dfrac{x^{-4}y^{-8}}{x^{12}y^{-12}}[/tex]
The student body of 175 students wants to
elect a president, vice president, and
secretary.
O Permutation; 5,267,850
Permutation; 4,291,165
O Combination; 1,316,962
Permutation; 4,271,085
The student body of 175 students wants to elect a president, vice president, and secretary, This is an example of a permutation
What is permutation?A permutation is an arrangement of objects in a definite order. A permutation is a calculation that shows the number of ways a particular set can be arranged, where the order of the arrangement matters.
Permutation is given by
[tex]^nP_r=(n-r)![/tex]
The student body of 175 students wants to elect a president, vice president, and secretary. This is a permutation and is given by:
¹⁷⁵P₃ = (175 - 3)!
Find out more on permutation at: https://brainly.com/question/1216161
solve this 100 - x = 24
Answer: -0.24
first you would take 100 and minus it from both sides giving you -x=0.24 then you divide the negative from both sides giving you -0.24.
3 yellow marbles to 2 blue marbles, bag has 18 marbles, how many yellow marbles are in the bag?
Answer:
16 yellow marbles in total, because you subtract 2 from the 18 because then you just get the yellow marbles.
find f(x+1) of f(x)= 2x^2 + 1
Answer:
Step-by-step explanation:
f(x+1) = 2(x+1)^2 + 1
= 2(x^2 + 2x + 1) + 1
= 2x^2 + 4x + 3
is 4/10 greater than 14/35?
Pls help i dont understand :(
Answer:
The answer is B.
Step-by-step explanation:
The answer is B, because if you have a vertical line, it is undefined. And also, it is on the x-axis, therefore it would be x = 4.
Answer
b. x=4, undefined
Step-by-step explanation:
the x value constantly stays at 4 because it’s a straight vertical line. there’s no slope because it’s straight up and down.
1) A group of five friends goes to the state fair. Each friend pays the entrance fee and buys
one booklet of ride tickets and a meal ticket. The entrance fee is d dollars. A booklet of ride
tickets costs 2.5 times the entrance fee. A meal ticket costs $4 less than the entrance fee.
) The expression
5d +5(2.5d) + 5(d – 4) represents the amount the
friends pay altogether in dollars.
1. Which part of the expression represents the total amount the friends
pay for meal tickets?
2.5d
5(d - 4)
d - 4
5(2.5d)
Answer:
[tex] 5(d - 4) [/tex]
Step-by-step explanation:
Entrance fee per head = d
Entrance fee for the 5 friends = 5*d = 5d
Booklet of ride ticket per head = 2.5d
Booklet of ride ticket for the 5 friends = 5(2.5d)
Meal ticket per head = d - 4
Meal ticket for the 5 friends = 5(d - 4)
Total amount paid altogether by the five friends = [tex] 5d + 5(2.5d) + 5(d - 4) [/tex]
From this breakdown above, the total amount paid by the 5 friends for their meal tickets = [tex] 5(d - 4) [/tex]
Part 2 of this question: Which part of the expression represents the total amount each friend pays?
Answer: d+2.5d+d-4
What is the initial value of the function represented by this graph? (1 point)
z 10.7
6
5
4
14.0)
1 2 3 4 5
6
Oo
07
Answer:
it is 4. I think.................
Step-by-step explanation:
1. Given a = 18, A = 105 degrees, and B = 32 degrees, use the Law of Sines to solve for b. Round your answer to the nearest tenth, and enter the number only.
2. Given c = 20, C= 101 degrees, and b = 14, use the Laws of Sines to solve for B. Round your answer to the nearest degree.
3. Given a= 100, A= 80 degrees, and b = 61, use the Law of Sines to solve for B. Round your answer to the nearest degree.
Answer:
1) 9.9 (nearest tenth)
2) 43° (nearest degree)
3) 37° (nearest degree)
Step-by-step explanation:
Please see the attached picture for the full solution.
The price of an item has been reduced by 80%. The original price was $30. What is the price of the item now?
Answer:
6
Step-by-step explanation:
80% of 30 is 24 so the price now is 6
• Ram, Hari and Shyam go for a swim after a gap of every 1 day, 2 dayand 3 days respectively. How many times will all they meet on the same day within 180 days?
The least common multiple that is divisible by both a and b is the smallest positive integer. The number of times Ram, Hari and Shyam will meet in 180 days is 30 times.
What is LCM?The least common multiple that is divisible by both a and b is the smallest positive integer, lowest common multiple, or smallest common multiple of two numbers a and b, generally indicated by LCM.
Given that Ram, Hari and Shyam go for a swim after a gap of every 1 day, 2 days and 3 days respectively. Therefore, the number of day after which all three together will meet can be found by taking the LCM.
Since the LCM of the 1, 2 and 3 are 6. Therefore, the three of them will meet after every 6 days.
Thus, if they all meet today then within 180 days, the number of times they meet is,
Number of times they meet = 180 days/6 = 30
Hence, the number of times Ram, Hari and Shyam will meet in 180 days is 30 times.
Learn more about Least Common Multiple:
https://brainly.com/question/20739723
#SPJ5
PLEASE HELP WITH THIS
Answer:
Step-by-step explanation:
Start with this equation where 17 is the base, x is the power that 17 must be raised to. Then 2 is the result.
17^x = 2 Take the log of both sides
log(17^x) = log(2) Take the x outside the brackets
x log(17) = log(2) Divide by log 17
x = log(2)/log(17) Find the values for log 2 and log 17
log(2) = 0.3010
log(17) = 1.230
x = .3010/1.230
x = .2446
can someone help me put the reasons in order ? please !!
Answer:
i) Given
ii) Definition of angle bisector
iii) angle addition
iv) Substitution
v) Combine like terms
Mark me brainliest pls
Answer:
1) Given
2) Definition of Angle Bisector
3) Angle Addition
4) Substitution
5) Combine Like Terms
Step-by-step explanation: Hope this helps!
Cynthia paid $30 for herself and her 2 friends at the movies. Each person had a movie ticket, a bag of popcorn for $2, and a drink for $1. Cynthia had a coupon for $7.50 off. What was the original price of each ticket?
Answer:
9.5 dollars per ticket
Step-by-step explanation:
to start you have to add 7.5 to 30 dollars to get how much it would have cost normally you get 37.5. next subtract 9 dollars. 6 for the popcorn and three for the drinks. you get 28.5 then devide by three to get the cost of one ticket at 9 dollars and 50 cents hope this helped. if you have any more questions feel free to message me
Answer:
$7.50
Step-by-step explanation:
She paid $30 for herself(1) and 2 friends = 3 tickets
30-6(popcorn)=24-3(drinks)-22+7.50=29.50/3= $7.50
Simplifying 7^3 * 7^6 *7^-2
Answer:
823543
Step-by-step explanation:
[tex]7^3\cdot \:7^6\cdot \:7^{-2}[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}[/tex]
[tex]7^3\cdot \:7^6\cdot \:7^{-2}=7^{3+6-2}[/tex]
[tex]=7^{3+6-2}[/tex]
[tex]\mathrm{Add/Subtract\:the\:numbers:}\:3+6-2=7[/tex]
[tex]=7^7[/tex]
[tex]7^7=823543[/tex]
Answer = 823543
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