How many ways can eight letters be arranged into groups of five where order matters and the first two letters are already chosen?

100
120
240
720

Answers

Answer 1

Answer:

120

Step-by-step explanation:

Answer 2

There are 120 ways can eight letters be arranged into groups of five where order matters and the first two letters are already chosen.

What is Combination?

A combination is a technique to determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

Since, we're dealing with a problem where the order matters and the first two letters are already chosen we need to subtract the number of letters and the number of available slots per group.

Here, We use the permutation formula to find the answer, but before that let's check values.

n = 8

k = 5

Now since there are two letters already chosen we have to deduct two from both the value of n and k.

n = 6

k = 3

Hence, we can use the permutation formula:

P (n, k) = n! / (n - k)!

P (6, 3) = 6! / (6 - 3)!

P (6, 3) = 120

Thus, There are 120 ways can eight letters be arranged into groups of five where order matters and the first two letters are already chosen

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Related Questions

Please solve: (in a hurry)
will name the brainliest!!!
include steps!

Answers

Answer:

Step-by-step explanation:

what is the answer? 5 ÷ 3/4 =

Answers

Answer:

20/3

Step-by-step explanation:

To figure this out, you would multiply 5 by the reciprocal of the fraction. The reciprocal is the fraction flipped around. 3/4 flipped around would be 4/3.

5*4/3=20/3

Hope this helps!! Have a nice day c:

I will brainlist HELP

Answers

Answer:

x = 7

y = 10

Step-by-step explanation:

<K and <NLK are marked as being equal.

That means that KN and LN are equal.

So LN = 6

y - 4 = 6

y = 4 + 6 = 10

For the same reason LN = LM

That means that x + 3 = 10

x = 10 - 3

x = 7

What is the answer to (-6d +2) - (7+2d)

Answers

Answer:

-8d-5

Step-by-step explanation:

Distribute the Negative Sign:

=−6d+2+−1(7+2d)

=−6d+2+(−1)(7)+−1(2d)

=−6d+2+−7+−2d

Combine Like Terms:

=−6d+2+−7+−2d

=(−6d+−2d)+(2+−7)

=−8d−5

80÷1.94≈
Please help me

Answers

Answer:

[tex]\frac{80}{1.94}[/tex]

Step-by-step explanation:

80 ÷ 1.94 = [tex]\frac{80}{1.94}[/tex]  

I hope this helps!

Brainliest

help asap please

Answers

Answer:

D. a║b, because if two lines are perpendicular to the same line, then they are parallel to each other.

Step-by-step explanation:

This is more of a rule than anything else, but to prove this, you can think of c as the transversal. The 4 angles at the intersection of line a and line c are 90 degrees, and so are the 4 angles at the intersection of line b and line c. Using the converses of the Corresponding Angles Theorem, Same Side Interior Angles Theorem, Alternate Interior Angles Theorem, etc.., you can prove that a and b are parallel.

Write the equation of the line that has a slope of 3 and passes through (5, 11)
y = 3x - 26
y = 3x - 38
y = 3x - 4
x = 3y - 4

Answers

Answer:

3x-4

Step-by-step explanation:

y=ax+b general type of the line

a is the slope

y=3x+b

put 5 instead of the x and put 11 instead of the y

11=15+b

b=(-4)

Equation is 3x-4

if 1/6 of the books in the library are cookbooks and 2/5 of the cookbooks are vegetarian cookbooks what fraction of the books in the library are vegetarian cookbooks
A. 1/30 B. 1/15 C. 1/2 D. 3/10

Answers

Answer:

A. 1/30 of the cookbook

Answer:

1/15

Step-by-step explanation:

Took the quiz

here is the list of ingredients for making 30 biscuits
225g butter
110g caster sugar
275g plain flour
75g choc chips
Lucas has the following:
900g butter
1000g caster sugar
1000g plain flour
225g choc chips

what is the greatest number of biscuits Lucas can make?
Can someone just tell me how to work it out. I just need the method thanks x

Answers

Yo is this a trick question? Hahaa
It’s 30, because it’s says the list of ingredients of making 30 biscuits

Please help me out i don’t know what right and left is!!! please tell me :(((

Answers

Answer:

put your fingers out in the shape of L's. Which ever finger has the L facing the proper way, is left, and the other is right.

Step-by-step explanation:

which equation represents the vertex form of the equation y=x^2-12x+38

Answers

Answer:

y=(x-6)^2+2 Have a nice day

This​ week, 957 people went to the beach. Last​ week, 1,207 people went to the beach. The number of people who went to the beach fell by what​ percent? Use pencil and paper. Explain how you know whether the answer is greater than or less than​ 25%

Answers

Answer:

Less than 25%

Step-by-step explanation:

1. Find the difference of the two numbers: 1,207 - 957 = 250

decrease = original number - new number

2. Then, divide the decrease by the original number

250/1,207 = 0.207

3. Multiply the answer by 100 to get the percentage

0.207 x 100 = 20.7%

Therefore, the number of people fell by 20.7%

Hence, the answer is less than 25%

Step-by-step explanation:

Carbon-14 is a radioactive isotope that has a half-life of 5,730 years. Approximately how many years will it take for carbon-14 to decay to 10 percent of its original amount?

Answers

Answer:

Carbon-14 will take 19,035 years to decay to 10 percent.

Step-by-step explanation:

Exponential Decay Function

A radioactive half-life refers to the amount of time it takes for half of the original isotope to decay.

An exponential decay can be described by the following formula:

[tex]N(t)=N_{0}e^{-\lambda t}[/tex]

Where:

No  = The quantity of the substance that will decay.

N(t) = The quantity that still remains and has not yet decayed after a time t

[tex]\lambda[/tex]     = The decay constant.

One important parameter related to radioactive decay is the half-life:

[tex]\displaystyle t_{1/2}=\frac {\ln(2)}{\lambda }[/tex]

If we know the value of the half-life, we can calculate the decay constant:

[tex]\displaystyle \lambda=\frac {\ln(2)}{ t_{1/2}}[/tex]

Carbon-14 has a half-life of 5,730 years, thus:

[tex]\displaystyle \lambda=\frac {\ln(2)}{ 5,730}[/tex]

[tex]\lambda=0.00012097[/tex]

The equation of the remaining quantity of Carbon-14 is:

[tex]N(t)=N_{0}e^{-0.00012097\cdot t}[/tex]

We need to calculate the time required for the original amout to reach 10%, thus N(t)=0.10No

[tex]0.10N_o=N_{0}e^{-0.00012097\cdot t}[/tex]

Simplifying:

[tex]0.10=e^{-0.00012097\cdot t}[/tex]

Taking logarithms:

[tex]ln 0.10=-0.00012097\cdot t[/tex]

Solving for t:

[tex]\displaystyle t=\frac{log 0.10}{-0.00012097}[/tex]

[tex]t\approx 19,035\ years[/tex]

Carbon-14 will take 19,035 years to decay to 10 percent.

Answer:

19,035 years

Step-by-step explanation:

Plato/Edmentum

Eloise is baking cupcakes and cookies for a birthday party. He baked 2.5 times as many cookies as cupcakes for a total of 56 items. How many of each item did she bake?

A. 16 cookies and 40 cupcakes
B. 35 cookies and 21 cupcakes
C. 35 cupcakes and 21 cookies
D. 16 cupcakes and 40 cookies

Answers

Answer:

D 16 cupcakes and 40 cookies

Step-by-step explanation:

I wrote an equation to solve for this

2.5x + x = 56

x represents cupcakes

3.5x = 56

x = 16

16 represents cupcakes.

16*2.5 = 40 (cookies)

6% - 18 = 4(2x - 3) - (2x + 6)

Answers

Answer: x = 5.2425

Graphing It Is undefined which means there  is no solution

Step-by-step explanation:

Determine if the two lines y = 2x - 3/2 and y = -2x + 2/3 are parallel, perpendicular or neither. Explain

Answers

Answer:

Neither

Step-by-step explanation:

For two lines to be parallel, they must have the same slope. 2 and -2 are not the same. For lines to be perpendicular, their slopes must be negative reciprocals (ex 5 and -1/5) The slopes of these lines are not the same or negative reciprocals, so they are not parallel or perpendicular.

Hope this helps :-)

Write an equation of the line that passes through (3, 4) and is perpendicular to the line
that passes through y = -1x +7.

Answers

Answer : y = x + 1
the solution is in the pic below :)
He didn’t shins did s jdbsndjsndjdnsndjnfn

Can someone please help me on this question

Answers

the answer would be two (2)

The answer is 5 not two.

i need help what is the answer to this question

Answers

Answer: D

Step-by-step explanation:

What is the slope and y-intercept of the graph? (write your answer in simplest form)



Slope:

y-intercept:

Answers

easy fist of all determine four points x and y then divide xby y and sope you can get

Tyler is conducting a science experiment. He is observing the effects of
low temperatures on bacteria. He cools one sample to -55˚C and
another to -80˚C. What is the difference between the two
temperatures?

Answers

Answer:

Your answer is -25

Step-by-step explanation:

First, you figure out what to do for the equation.

In this case we you would subtract because it says "what is the difference" which means to subtract.

So -55 subtracted by -80 = -25

 situation 1: kayla has $30 to spend on yogurt. She spent a total of $6 each day on yogurt.
in situation 1, which role model is the total amount that Kayla has left to spend on yogurt (c) as a function of the numbers of days (d)
A) c=30-6d
B) c=30+6d
C) d=30-6c
D) c=6d-30

Answers

Answer:

A

Step-by-step explanation:

Kayla spends 6 a day and has a total of 30 dollars, c is the amount left over so this would make the equation c=30-6d

The correct statement will be;

⇒ c = 30 - 6d

Where, 'c' is left amount and 'd' is number of days.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Kayla has $30 to spend on yogurt.

And, She spent a total of $6 each day on yogurt.

Now,

Let 'c' is left amount and 'd' is number of days.

And, She spent a total of $6 each day on yogurt.

So, We can formulate;

⇒ c = 30 - 6d

Where, 'c' is left amount and 'd' is number of days.

Thus, The correct statement will be;

⇒ c = 30 - 6d

Where, 'c' is left amount and 'd' is number of days.

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What is the length of segment DF?

Answers

Answer
DF=4
Explanation
8/4=2
2*2
4

Answer:

16

Step-by-step explanation:

4 over 2

x over 8

then cross mulitply then divide

3. In the figure shown, a circle with center O and radius of length 3 units is
inscribed in a square. What is the area of the shaded region? *

A. 3.86 square units
B. 7.73 square units
C. 28.27 square units
D. 32.86 square units

Answers

Answer:

C

Step-by-step explanation:

To find the area of a circle, take its radius (3) and square it. In this case, 3 times 3 = 9. Then, you multiply the answer by pi, which rounds to 3.14, but is more like 3.14159265......etc, etc. There is a rhyme for that: May I have a large container of coffee beans? Where the length of each word is a number of pi. Anyway, most people would write 9pi, but this is asking for the exact answer, so you can do 3.14 times 9, which equals roughly 28.27. Hope this helped!        

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

Answers

Answer:

For me the answer was (f+g)(x)=4x^3+x^2+5x+2

Step-by-step explanation:

A function assigns the values. The value of the (f-g)(x) is 4x³ + x² +2 is 4x³ + x² + 5x + 2.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

Given that f(x)=4x²+5x-3 and g(x)=4x³-3x²+5, therefore, the value of the (f-g)(x) can be written as,

(f-g)(x) = f(x) - g(x)

          = 4x² + 5x - 3 + 4x³ - 3x² + 5

          = 4x³ + 4x² - 3x² + 5x + 5 - 3

          = 4x³ + x² +2

Hence, The value of the (f-g)(x) is 4x³ + x² +2 is 4x³ + x² + 5x + 2.

Learn more about Function:

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find each sum or difference 5/6 + 3/9 + 7/6=

Answers

Answer:

The sum is 7/3.

Step-by-step explanation:

hope that helps

joyce traveled at an average speed of 60 miles per hour for 4.5 hours and then traveled at an average speed of 35 miles per hour for 1.5 hours. What was the total distance in miles that joyce traveled during this time ?

Answers

Answer:

322 1/2 miles

Step-by-step explanation:

Recall how s = d/t ; speed = distance/time.

To effectively solve for distance traveled, rearrange the formula so that distance is on the left-hand side by multiplying speed, and time.

speed × time = distance/time × time

speed × time = distance

distance = speed × time ; d = st.

Now to find the total distance traveled, individually multiply the rate of speed with the time. Time will cancel, and we will get the total mileage.

Given an average speed of 60 mph at a certain time for 4.5 hours, and another average speed of 35 mph at another time of 1.5. Calculate the distance individually, and then add both distances together. Distance 1 = 60 mph × 4.5 h = 60 miles / h × 4.5h = 60 miles × 4.5 = 270 miles.

Distance 2 = 35mph × 1.5h = 35 miles / h × 1.5h = 35 miles × 1.5 = 52 1/2 miles.

Distance 1 + Distance 2 = Total distance.

270 miles + 52 1/2 miles = 322 1/2 miles.

2z - 6 = 2(2 + 2) - 10

Answers

Answer:

z=2

Step-by-step explanation:

2z-6=2(2+2)-10  Distribute.

2z-6=4+4-10      Combine like terms.

2z-6=-2              Add 6 on both sides.

   +6 +6

2z=4                   Divide by 2 on both sides.

/2 /2

z=2

Hope this helps! Have a great day ^^

A recipe for 10 servings of raspberry sorbet calls for 2 cups of water, cups of granulated sugar, and 4 cups of frozen raspberries, thawed. How many gallons of water would the recipe call for if a school made 320 servings for students to eat at lunch? 4 gallons 8 gallons 40 gallons 80 gallons

Answers

Answer:

okay i will answer but i dont see the question

Step-by-step explanation:

Ryan and five friends when I take they decided to split the bill evenly each person paid 16.60 what is the total bill

Answers

The bill would be $99.60
Because Ryan plus his 5 friends are 6 people in total so you take 16.6 times 6 and get 99.6
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