A company prints contest codes on its fun-size bags of
candy. Each 6-character code consists of the letter A
followed by the letter H followed by 4 of the digits 0
through 9. The digits may repeat. Which of the
following expressions gives the number of different
6-character codes that are possible?
F. 1(1)(10)(10)(10) (10)
G. 2(1)(10)(9)(8)(7)
H. 2(1)(10)(10)(10)(10)
J. 2(2)(10)(9)(8)(7)
K. 2(2)(10)(10)(10)(10)

Answers

Answer 1

Using the Fundamental Counting Theorem, it is found that the expression that  gives the number of different  6 -character codes that are possible is:

F. 1(1)(10)(10)(10) (10)

Fundamental counting theorem:

States that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem:

For the first two digits, there is only one outcome, A and H, respectively, hence [tex]n_1 = n_2 = 1[/tex].For the next four digits, as the digits may repeat, there are ten possible outcomes for each, hence [tex]n_3 = n_4 = n_5 = n_6[/tex].

Hence:

[tex]N = 1 \times 1 \times 10 \times 10 \times 10 \times 10[/tex]

And option F is correct.

To learn more about the Fundamental Counting Theorem, you can take a look at https://brainly.com/question/24314866


Related Questions

Submit For

Score

Which term best describes the savings account that Isabel has set up, given its purpose?

Select the correct answer.

es

Comments

O emergency fund

O mutual fund

Orainy-day fund

sinking fund

Answers

Answer:

Emergency Fund

Step-by-step explanation:

Isabel has setup fund for her emergency needs. She has started saving with named as emergency fund so that she can use her savings when she is in severe needs. Isabel has saved money and then she is now saving her money in saving accounts in the bank.


Please help! Will make brainliest !!

Answers

Answer:

5: 40.6

6: 26.57

7: 22.21

8: 66.35

Step-by-step explanation:

I am going to assume that you know

SOH CAH TOA (if you don't just ask)

For 5: we have the adjacent and opposite side, we need the angle

I think here it's easiest to use TOA

so we have

tanx=60/70

take the arctan or tan^-1 and get

arctan(60/70)=x x= 40.6

For number 6 it's just the same deal

tanx=10/20

arctan(10/20) =x =26.57

For number 7 we have the adjacent side and we need to find the oppsoite side

for this I will once again use TOA

tan(48)=x/20

20tan(48)=x=22.21

For number 8 it's the same deal as 7

tan53=x/50

50tan53=x=66.35

Which pair of triangles can be proven congruent by SAS?

Answers

Answer:

SAS postulate says that if two sides and the included angle of a triangle are equal to two sides and the included angle of another triangle, then the two triangles are said to be congruent.

pls help asap!!!!!!!!!!!

Answers

Answer:

I can not see it well

Step-by-step explanation:

i don't see what your asking but thanxs for the points

i'll give you free point about 40 just look asap because people may snag it

simplify the expression by using distributive property and combine like terms. 4(3x - 1) -2(6+ 2x)​

Answers

Answer:

8x-16

Step-by-step explanation:

multiple the 4 and the -2 by everything in the parentheses beside them then add them together to simplify

Dario borrows $12,000 to buy a car. He borrows the money at a yearly, or annual, simple interest rate of 4.2%. How much more interest will Dario owe if he borrows the money for 5 years instead of 1 year?
ITS URGENT HURRY!!!!!

Answers

Answer:

$2016 more

Step-by-step explanation:

Borrowed amount = $12000Interest rate = 4.2% per year simple

Interest in 1 year:

$12000*4.2/100 = $504

Interest in 5 years:

$12000*4.2*5/100 = $2520

The difference between 1-year interest and 5-year interest:

$2520 - $504 = $2016

The diagram shows a piece of cheese in the shape of the triangular prism.Work out the area of the cling film needed to cover the cheese

Answers

Answer:

488.4 cm²

Step-by-step explanation:

Area of cling film needed = surface area of the triangular prism = 2(B.A) + P×H

Where,

B.A = triangular base area = ½*base*height

height = 10.5 cm

base = √(13.7² - 10.5²) = √77.44 = 8.8 cm

B.A = ½*8.8*10.5 = 46.2 cm²

P = perimeter of the triangular base = 10.5 + 13.7 + 8.8 = 33

H = height of prism = 12 cm

Surface area of triangular prism = 2(46.2) + 33*12

= 92.4 + 396

= 488.4 cm²

solve the equation

PLZ I need a good grade

Answers

P ≤ 6, first you divide both sides by 7 so you get p ≤ 6 bc 7/7 is 0 and 42/7 is 6

answer:

p = 6

1. pull out like factors

7p - 42  =   7 • (p - 6)

2. solve it

7=0

this equation can't be solved, therefore has no solution.

in each bouquet of flowers there are four roses and 6 white carnations complete the table to find how many roses and carnations you still are in four bouquets of flowers​

Answers

Answer:

so i hope im understanding this. for every 1 bouqet there is 4 roses 6 white carnations so the amount of roses in total you will need for the 4 bouques is 16 and the amount of carnations is 24

Step-by-step explanation:

1 b= 4r an 6c   r= roses c=carnations

sooo                        4+4+4+4=16      6+6+6+6= 24

1b= 4r 6c

1b= 4r 6c

1b= 4r 6c

1b= 4r 6c

I NEED HELP ASAPPPPPPPPPPPPPPPPPPP

Answers

So a median is is the middel of all numbers
So since 1 to 6 , the middle is 4
And represents 46 and 49
There’s 13 number and if you count , it would be 46, so 46 is the median.
Plz give me branliest thank you

Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is a
viable solution if x represents the number of days that a library book is late and y represents the total fee?
O (-3,-0.90)
O(-2.5, -0.75)
O(4.5, 1.35)
O (8, 2.40)
I need the answer mate

Answers

Answer:

d

Step-by-step explanation:

The only viable solutions for the given condition are (4.5, 1.35) and (8, 2.40).

What is expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Since the fee is charged at a rate of $0.30 per day, if a book is x days late, the total fee charged would be y = 0.30x.

We can check each ordered pair given to see if it satisfies this equation:

For (-3,-0.90), y = 0.30x = 0.30(-3) = -0.90.

This satisfies the equation, but the fee cannot be negative, so this is not a viable solution.

For (-2.5, -0.75), y = 0.30x = 0.30(-2.5) = -0.75.

Again, this satisfies the equation but the fee cannot be negative, so this is also not a viable solution.

For (4.5, 1.35), y = 0.30x = 0.30(4.5) = 1.35.

This satisfies the equation and the fee is positive, so this is a viable solution.

For (8, 2.40), y = 0.30x = 0.30(8) = 2.40.

This satisfies the equation and the fee is positive, so this is also a viable solution.

Therefore, the viable solutions are (4.5, 1.35) and (8, 2.40).

Learn more about expression here:

https://brainly.com/question/14083225

#SPJ7

In gym class, the sixth graders walk 3 laps for every 2 laps they run. If the students run 6 laps, how many laps will they walk?
(p.s whoever types it fast and correct i will friend you. i like to do these brain stretches for people to have fun :D

Answers

Answer:

They walk 9 laps

Step-by-step explanation:

If the run for 6 laps you need to multiply how many times they walked when they ran for 2 laps by 3 (3*3) which should give you 9

Answer:

5

Step-by-step explanation:

$5200 at 7.36% for 54 months

a. Find the interest earned.

$

b. Find the balance of the account.

$

Answers

Answer:

Step-by-step explanation:

A)5200*54/12*7.36/100=5440.44

b)5200+5440.4410,640.44

Answer:

a. $1722.24 b. $6922.24

Step-by-step explanation:

for a: 5200*0.0736*54/12= 1722.24

for b: 1722.24+5200= 6922.24

-3x - 4y = 4
-5.2 +y = 2
Is (2, 10) a solution of the system?

Answers

Answer:

No

Step-by-step explanation:

when checking to see if a point satisfies a system of equations

plug in x and y values from your point into the system

(2, 10)

x y

-3(2) - 4(10) = 4. and. -5.2 + 10 = 2

-6-40 = 4. 4.8. = 2

-46 = 4.

invalid statement. invalid statement

therefore the point (2, 10) does not satisfy this system of equations.

A shoe store uses a 50
​%
markup for all of the shoes it sells. What would be the selling price of a pair of shoes that has a wholesale cost of ​$59
​?

Answers

Answer:

88.50

Step-by-step explanation:

59 divided by 2 (50%) = 29.50

59+29.50=88.50

I think answer should be 88.50 please give me brainlest let me know if it’s correct or not thanks

Ayana received some gift cards for music and movie downloads for her birthday. Using one of them, she downloaded 20 songs and 3 movies, which cost a total of $73. Using another, she purchased 5 songs and 17 movies, which cost a total of $197. How much does each download cost?

Answers

20s + 3m = 73

5s + 17m = 197

Eliminate s terms: Multiply second equation by -4, then add to first equation:

-20s - 68m = -788

 20s + 3m = 73

—————————-

-65m = -715

m = (-715)/(-65) = 11

20s + 3(11) = 73

20s = 40

s = 2

A movie download costs $11. A song download costs $2

The answer is 873.17

Answers

Answer:

wat

Step-by-step explanation:

Answer:

To what exactly...?

Step-by-step explanation:

Natasha rolls a fair dice 66 times.

How many times would Natasha expect to roll a number greater than 5?

Answers

Im not sure but could be 60 times ?

Students running a food drive have collected their goal amount of canned goods. Over the weekend, volunteers collect an additional 18% of the goal. Write an expression to represent the total percentage of their goal collected in two different ways.

Answers

Answer:

[tex]Expression = x + 18x\%[/tex]

[tex]Expression = 1.18x[/tex]

Step-by-step explanation:

Given

Represent their goal with x

Additional = 18%

Required

Write two expressions to describe the total percentage

The expression is derived using:

[tex]Expression = Goal + Additional[/tex]

This gives:

[tex]Expression = x + 18\% * x[/tex]

[tex]Expression = x + 18x\%[/tex]

Solving further (Express percentage as decimal)

[tex]Expression = x + 0.18x[/tex]

[tex]Expression = 1.18x[/tex]

*20 POINTS*
i swear to GOD PLEASEEE HELP MEEEEEBEJEBKE I’LL GIVE BRAINLEST TO WHOEVER ANSWERS CORRECTLY FIRST

The function below has at least one rational zero. Use this fact to find ALL zeros of the function.

g(x)=5x^3+x^2-20^x-4

If there is more than one zero, separate them with commas. Write exact values, not decimal approximations.

Answers

Answer:

If you want to use the Rational Zeros Theorem, as instructed, you need to use synthetic division to find zeros until you get a quadratic remainder.

P: ±1, ±2, ±3, ±6  (all prime factors of constant term)

Q: ±1, ±7              (all prime factors of the leading coefficient)

P/Q: ±1, ±2, ±3, ±6, ±1/7, ±2/7, ±3/7, ±6/7  (all possible values of P/Q)

Now, start testing your values of P/Q in your polynomial:

f(x)=7x4-9x3-41x2+13x+6

You can tell f(1) and f(-1) are not zeros since they're not = 0Now try f(2) and f(-2):

f(2)=7(16)-9(8)-41(4)+13(2)+6

       112-72-164+26+6 ≠ 0

f(-2)=7(16)-9(-8)-41(4)+13(-2)+6

       112+72-164-26+6 = 0  OK!! There is a zero at x=-2

This means (x+2) is a factor of the polynomial.

Now, do synthetic division to find the polynomial that results from

(7x4-9x3-41x2+13x+6)÷(x+2):

-2⊥ 7   -9   -41    13     6

         -14   46   -10    -6          

      7  -23   5       3     0     The remainder is 0, as expected

The quotient is a polynomial of degree 3:

7x3-23x2+5x+3

Now, continue testing the P/Q values with this new polynomial.  Try f(3):

f(3)=7(27)-23(9)+5(3)+3

      189-207+15+3 = 0  OK!!  we found another zero at x=3

Now, another synthetic division:

3⊥ 7   -23    5     3

          21   -6   -3_

    7    -2    -1    0  

The quotient is a quadratic polynomial:

7x2-2x-1  This is not factorable, you need to apply the quadratic formula to find the 3rd and 4th zeros:

x= (1±2√2)÷7

The polynomial has 4 zeros at x=-2, 3, (1±2√2)÷7

Step-by-step explanation:

How do you get from 4 to 4/3

Answers

Answer:

- 8/3

Step-by-step explanation:

Simply subtract 4 from 4/3

4/3 - 4 = 4/3-12/3=-8/3

Lets check of our answer is correct:

4 - 8/3 = 12/3 - 8/3 = 4/3. So our answer is correct.

Need help ASAP
Will mark you brainlist

Answers

The correct answer is y=5/6+4
Y = 5/6x + 4

5/6 is the slope and 4 is the y-intercept



Tony bought x cans of tennis balls for $3 each. He bought the same number of water bottles for $5. He also

bought a tennis racket for $42

Answers

What are you asking exactly?

Kelly has 7 days to read 60 pages of a book for school. She plans to read 8 pages a night for 6 nights.What percent of the assigned pages will she have left to read on the last night?

Answers

Answer:

20 percent left

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

A right triangle has an area of 72 square feet. If the lengths of the sides are multiplied by 6, what is the area of the new triangle?

Answers

Answer:

The answer is 2592 ft squared

Step-by-step explanation:

Brainliest?

Answer:

The answer is 2592:)

Step-by-step explanation:

pythagorean theorem. and I need to calculate the missing sides. If possible I would like an explanation but an answer is also fine.​

Answers

Answer:

Step-by-step explanation:

To calculate the missing sides square the  side length of the legs of the  triangles(  the lines that form a 90 degree angle) then add them together, then take the sqr root of that to find the hypotunse( the slanted side). In simplier terms, here how it look.

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

where a and b are the legs, and c is the hypotunese.   For example, Ill do 3. The bases are 22, and 11 so plug them in the equations.

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

11^2+22^2=c^2

121+484=c^2

605=c^2

c=about 24.6

Exercise 1.6.3: Translating mathematical statements in English into logical expressions. info About Consider the following statements in English. Write a logical expression with the same meaning. The domain is the set of all real numbers. (a) There is a number whose cube is equal to 2. (b) The square of every number is at least 0. (c) There is a number that is equal to its square. (d) Every number is less than or equal to its square..

Answers

Answer:

a)  Эx ∈ R   ⊇  x³ = 2

b) ∀x ∈ R, x² ≥ 0

c)  Эx ∈ R   ⊇  x³ = x

d) ∀x ∈ R, x ≤ x²

Step-by-step explanation:

Given the data in the question;

let us first go through some symbols and their possible meanings;

Э  ⇒ there exists

∀ ⇒ for all

∈ ⇒ belongs to or set membership or element of the set

⊇ ⇒ such that

now;

a) There is a number whose cube is equal to 2

let x represent the number; so

Эx ∈ R   ⊇  x³ = 2

b) The square of every number is at least 0

x² ≥ 0, ∀x ∈ R

∀x ∈ R, x² ≥ 0

c) There is a number that is equal to its square

Эx ∈ R   ⊇  x³ = x

d) Every number is less than or equal to its square.

x ≤ x², ∀x ∈ R

∀x ∈ R, x ≤ x²

Find 110.9% of 419.Round to the nearest hundredth.

Answers

start by dividing 419 by 100. then multiply by 110.9. that’ll give you 464.671 then round to the hundredth which is 464.67.

Answer:

400

Step-by-step explanation:

When you are rounding to the nearest hundred you  

You round the number up to the nearest hundred if the last two digits in the number are 50 or above.

Then, round the number down to the nearest hundred if the last two digits in the number are 49 or below and if the last two digits are 00, then you don't have to do any rounding, because it is already to the hundred.

What is the standard algorithm

Answers

In elementary arithmetic, a standard algorithm or method is a specific method of computation which is conventionally taught for solving particular mathematical problems

Another virus starts spreading on July 1st, 2020. No one
was infected prior so there is no constant. But it does spread at a rate of 11
people per day

Write an equation to solve for the number of days it would take to reach 1,000 cases

How many days will it take to reach 1000 cases?

On what date will Gotham City reach 1000 cases?



THE PICTURE SHOWS ABOUT THE FIRST VIRUS

Answers

Answer:

1000÷11=90.9

So,29th September

Other Questions
What is the complete factprization -18a^2+8? PLEASE HELL I NEED THIS ONE FAST PLEASEWhich statement is true about the decimal expansion of ? 3/7O A. It is a rational number because it is a terminating decimal. B. It is an irrational number because it is not a terminating decimal. C. It is a rational number because after reaching a remainder of 3 for the second time the quotient will start repeating. O D. It is an irrational number because after reaching a remainder of 3 for the second time the quotient will start repeating. How can a bill become a law?? The political party thought the 'rich and the wealthy" should have a say so in the government. Help me please im dying becuase of this What are the solutions of 6x2 216 = 0? A. 36, 0 B. 6 C. 6, 6 D. 1296, 1296 number 7 is the one i need help with 7TH GRADE MATH !! pls help and I'll love you forever Stars are objects in space that produce their own heat and light. Where would the greatest number of stars be found? Can you listen to this for me? Lol, Hi! H = {(2, 5), (3, 5), (4, 5), (5, 5), (6, 5)} Is H a function and why? What event brought the USA into WWII??? True or false for these!!!! Please help A bacterial culture is known to grow at a rate proportional to the amount present. After one hour, there are 1000 strands of bacteria and after four hours, 3000 strands. Find an expression for the number of strands present in the culture at any time t. What is the initial number of strands Truck drivers report the mileage or the number of miles (M) traveled per gallon of gas (G) for each trip. Which driver went the farthest on one gallon of gas. a surbordinate clause contains a can someone help me with this Determine the taxable amount of social security benefits for the following situations. If an amount is zero, enter "$0".a. Erwin and Eleanor are married and file a joint tax return. They have adjusted gross income of $36,000, no tax-exempt interest, and $12,400 of Social Security benefits. As a result, $ of the Social Security benefits are taxable.b. Assume Erwin and Eleanor have adjusted gross income of $12,000, no tax-exempt interest, and $16,000 of Social Security benefits. As a result, $ of the Social Security benefits are taxable.c. Assume Erwin and Eleanor have adjusted gross income of $85,000, no tax-exempt interest, and $15,000 of Social Security benefits. As a result, $ of the Social Security benefits are taxable. John needs to purchase a table for his room. John measured the space available as 4 ft. the actual measurement was 2.5 ft. what is John percent error. My messy hair Canadian haha love him