The word "theory" is composed of the letters of the split alphabet. Three cards are taken out at random and stacked in a row one after another in order of appearance. How many possible compounds can be made up of the letters of this word?

Answers

Answer 1

Answer:

There would be [tex]120[/tex] of them.

Step-by-step explanation:

There are [tex]6[/tex] distinct letters in the word "[tex]\verb!theory![/tex]".

Hence, there would [tex]6[/tex] possible choices for the first letter that was selected.

Since the chosen card won't be placed back in the pool, there would be only [tex](6 - 1) = 5[/tex] possible choices for the second letter.

Likewise, there would be [tex](6 - 2) = 4[/tex] choices for the third letter.

[tex]6 \times 5 \times 4 = 120[/tex]. In other words, there are [tex]120[/tex] possible ways to draw three cards out of [tex]6[/tex] one after another.

Since the question states that the order of the cards matters, it won't be necessary to eliminate repetitions such as "[tex]\verb!the![/tex]" and "[tex]\verb!het![/tex]" from the number of combinations.


Related Questions

A runner ran 1 4/5 miles on Monday and 6 3/10 on Tuesday. How many times her Monday's distance was her Tuesday's distance? Please help me I need an answer that makes sense

Answers

He ran more than enough that’s all extra talk

75-7+(6x2)+1 exponent 3 on top of the 1

Answers

Here’s my work to your question. Make note of the principle PEMDAS. Do it in order and make sure you solve future problems, left to right. If you have any concerns drop a comment below!


P - parenthesis
E - exponents
M - multiplication
D - division
A - addition
S- subtraction

Step-by-step explanation:

75-7=68 +(12)+1 exponent 3 meaning one multiplying itself three times so

68+12+1×1×1

80+1×1

80+1

=81

Find the area of the shape shown below:

Answers

Answer:

80

Step-by-step explanation:

3.5*2*2*2*2*5=280

How would I write 5.882 times 10 to the -7 power in standard from. Be sure to add the commas

Answers

Answer:

Step-by-eeeeeeeeestep explanation:

Answer:

0.0000005882

Step-by-step explanation:

So... 10 to the -7th power is 1 /10000000 or  0.00000001. When you multiply 5.882 by that, you get 0.0000005882 or if you round it, 0.00000089.

Hope this helps!

Evaluate the function h(x) = 13 – x when x= -3,0, and 8.

Answers

Answer:

h(-3)=16

h(0)=13

h(8)=5

Step-by-step explanation:

[tex]h( -3) = 13 - ( - 3) = 16 \\ h(0) = 13 - 0 = 13 \\ h(8) = 13 - 8 = 5[/tex]

There are 12 students in a class, and 7 of them will be chosen to go on a field trip. How many ways can
these students be chosen?

Answers

The highest grade report card

Answer:

So we will use combinations, as it does not matter what order they get chosen in.

The combinitoric that you will plug in to your calculator is: nCr(12,7)

Therefore, the answer is 792

What is the quotient 931/4?

Answers

Answer:

here's a photo of the calculator to that question

The triangles pictured below are:




Congruent by AAS
Congruent by AAS

Congruent by HL
Congruent by HL

Congruent by SSS
Congruent by SSS

Congruent by SAS
Congruent by SAS

Congruent by ASA
Congruent by ASA

Not Congruent
Not Congruent IMAGE BELOW

Answers

Answer:

NOT CONGRUENT

Step-by-step explanation:

Angle Side Side doesnt work so it is not congruent

Select the equation of the quadratic function that models the relationship between time and height for an object thrown into the air, as presented in the parabola above.
Question 5 options:

A) ƒ(x) = –(x + 2)2 + 7
B) ƒ(x) = –(x – 2)2 + 7
C) ƒ(x) = (x – 2)2 + 7
D) ƒ(x) = (x + 2)2 + 7

Answers

Answer:

B

Step-by-step explanation:

lmk if you want an explanation

Does (3, -50) make the equation y = -8x true? ​

Answers

Hey there!

y = -8x

→ -50 = -8(3)

→ -8(3) = -50

→ -8(3) = -24

→ -24 ≠ -50

Yes and no but mainly no because -24 doesn’t equal -50 (the y-intercept)

Answer: NO

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

U like fruit WELL ANSWER THIS. lol pls help!!!

Answers

Answer:apple

Step-by-step explanation:

Answer:

Blueberries.

Step-by-step explanation:

Apples calorie is 80, Blueberries calorie is 83, Pumpkins calorie is 49, Raspberries calories is 10. The highest number of calories on this list is 83, which is blueberries

If it takes 7.1 pounds of seed to plant one acre of grass, how many acres can be planted with 7.81 pounds of seed?

Answers

Answer: make me brainlist

Step-by-step explanation: 1.1 x

Help please: A bus and a train leave a station at the same time, t = 0. The graph shows the bus's distance to the next station over time. The train moves more quickly than the bus. Write an equation of a function that could represent the train's distance to the next station.​

Answers

Answer:

y = (5/2)x + 20

Step-by-step explanation:

Since the bus and train are both at the station at time 0, the y-intercept for the new equation is 20. That is one point on the new graph: (0,20) The question said that the train travels faster, that means it spends less time getting to the next station. The existing graph shows the bus got to the next station in 10 minutes, so maybe the train got there in 8 minutes. So another point on the graph is (8,0) We can use a slope formula to calculate the slope of a new line. Or just count squares on the graph (se image) to find the slope. Slope tells how steep a line is, whether the line is going up or down, but also the slope is like directions how to get from one point to another point on the line.

All you need to write an equation is the slope, m and the y-intercept, b and fill those two numbers into the formula y=mx+b Here slope is 5/2 and y-intercept is 20. So you get

y=(5/2)x +20

A soccer club had 45 players. In a recent push to create more teams, they had a recruiting event. After the event the club had 71 players. Write an equation and solve for the number of players the club gained with the recruiting event.

Answers

Answer:

45+x = 71

26 players were added

Step-by-step explanation:

We start with 45 players

We ended with 71 players

We added x players

45+x = 71

Subtract 45 from each side

45+x-45 = 71-45

x =26

We added 26 players

Let gained players be x

Previous players=45New players=71

ATQ

[tex]\\ \sf{:}\dashrightarrow x+45=71[/tex]

[tex]\\ \sf{:}\dashrightarrow x=71-45[/tex]

[tex]\\ \sf{:}\dashrightarrow x=26[/tex]


A- CE=CD
B- CE = CA
C- BF=DF
D- DF=EF

please help!!

Answers

The perpendicular bisector theorem gives the statements that ensures

that [tex]\overleftrightarrow{FG}[/tex] and [tex]\overleftrightarrow{AB}[/tex] are perpendicular.

The two statements if true that guarantee  [tex]\overleftrightarrow{FG}[/tex] is perpendicular to line [tex]\overleftrightarrow{AB}[/tex] are;

[tex]\overline{CE} = \overline{CD}[/tex] [tex]\overline{DF} = \overline{EF}[/tex]

Reasons:

The given diagram is the construction of the line [tex]\mathbf{\overleftrightarrow{FG}}[/tex] perpendicular to line [tex]\mathbf{\overleftrightarrow{AB}}[/tex].

Required:

The two statements that guarantee that  [tex]\overleftrightarrow{FG}[/tex] is perpendicular to line [tex]\overleftrightarrow{AB}[/tex].

Solution:

From the point C arcs E and D are drawn to cross line [tex]\overleftrightarrow{AB}[/tex], therefore;

[tex]\overline{CE} = \mathbf{\overline{CD}}[/tex] arcs drawn from the same radius.

[tex]\overleftrightarrow{FG}[/tex] is perpendicular to line [tex]\overleftrightarrow{AB}[/tex], given.

Therefore;

[tex]\overline{DF} = \overline{EF}[/tex]  by perpendicular bisector theorem.

Learn more about the perpendicular bisector theorem here:

https://brainly.com/question/11357763

If overline BE || overline CD , find the perimeter of triangle ACD . А 6 4 B 10 E x - 4; x - 2 y D 24 20

Answers

The perimeter of a triangle is the sum of its side lengths.

The perimeter of triangle ACD is 40 units

Start by calculating the values of x and y, using the following equivalent ratios

[tex]6 : 4 = x - 2 : x - 4[/tex]

[tex]6 : 10 = 6 + x - 2 : y[/tex]

So, we have:

[tex]6 : 4 = x - 2 : x - 4[/tex]

Express as fraction

[tex]\frac 64 = \frac{x-2}{x-4}[/tex]

Cross multiply

[tex]6x - 24 = 4x - 8[/tex]

Collect like terms

[tex]6x - 4x = 24 - 8[/tex]

[tex]2x = 16[/tex]

Divide both sides by 2

[tex]x = 8[/tex]

Also, we have:

[tex]6 : 10 = 6 + x - 2 : y[/tex]

Express as fraction

[tex]\frac 6{10} = \frac{6 + x -2}{y}[/tex]

Substitute 8 for x

[tex]\frac 6{10} = \frac{6 + 8 -2}{y}[/tex]

[tex]\frac 6{10} = \frac{12}{y}[/tex]

Cross multiply

[tex]6y = 120[/tex]

Divide both sides by 6

[tex]y = 20[/tex]

The perimeter of triangle ACD is then calculated as:

[tex]P =6 + x - 2 + y + x - 4 + 4[/tex]

Substitute values for x and y

[tex]P =6 + 8 - 2 + 20 + 8 - 4 + 4[/tex]

[tex]P =40[/tex]

Hence, the perimeter of triangle ACD is 40 units

Read more about perimeter at:

https://brainly.com/question/19576164

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Answers

Finding the X-intercept.

1.) Solve for x by substituting 0 in for y.

4x+(0)=5

4x/4+5/4

x=1.25 or 1 and 1/4.

Simplify. (5b2−3b+2)+(2b−4)
A.5b2+5b+6
B.5b2−5b−6
C.5b2−b−2
D.6b4−2

Answers

Answer:

5b2 - b -2

Step-by-step explanation:

The answer is (c)

The answer is: C

5b^2-b-2

what is 2/5=_=_ what is the 2 equivalent fractions

Answers

Answer:

4/10 and 16/40

Step-by-step explanation:

2/5 = 0.4(ZERO POINT FOUR NOT 0.04 ZERO POINT ZERO FOUR)

(numerator =2 x 2=4 ,denominator= 5 x 2= 10) this is how i got 4/10 (choose any number between 10 and 2 and multiply it by the denominator and numerator)

As well as 4/10  = 0.4

Also 16/40= 0.4

(Using our original fraction 2/5 we can multiply both the numerator and denominator by 8; numerator= 2 x 8 = 16  and denominator= 5 x 8 = 40

Since 4/10 and 16/40 are both equivalent to 0.4, they are equivalent fractions

(TO FIND THE DECIMAL OF THAT FRACTION DIVIDE THE NUMERATOR BY DENOMINATOR)

hope this helps, ;]

Suppose there is a 1.4 drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 52.8, what will be the temperature when the plane reaches an altitude of 11,000?

Answers

Answer:

37.4

Step-by-step explanation:

1.4 times 11 and subtract that from 52.8

-4x +8 = 24
What is the value of x in the equation?
8
4
-4
-8

Answers

Answer:

-4x+8=24

24-8

16/-4x

x= -4

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

-4x + 8 = 24

Subtract 8 from both sides to isolate the x.

-4x + 8 = 24

       -8    -8

-4x       = 16

Divide -4 from both sides to solve for x.

-4x = 16

/-4    /-4

x = -4

Scott bought
1
6
ton of rocks. Scott and 9 of his neighbors shared the rocks equally. What fraction of a ton of rocks will each person get?

Answers

Answer:

The answer is 16/10 or 1.6

Step-by-step explanation:

I'm guessing Scott bought 16 ton of rocks for this question since the question was written weirdly.

We know that Scott will share his 16 ton of rocks with 9 neighbors and himself.

Which means that the answer is 16/10 because Scott is gonna divide his 16 ton of rocks with 10 people. (9 neighbors and himself)

Hope this helps! :)

૮ ・ﻌ・ა

Kris and his dad built an ice rink. The area is 74.4 sq meters. The length is 12 meters what is the width

Answers

Answer:

6.2 meters

Step-by-step explanation:

1) area = l*w

74.4 = 12x

x=6.2

It takes 58 pounds of seed to completely plant a 9-acre field. How many acres can be planted per pound of seed?

Answers

Answer:

6 4/9

Step-by-step explanation:

You divide 58 and 8 and your answer would be 6.444444 repeating.

solve the following system of equations

Answers

Answer: the answer is D which is (2,1)

Anybody can help? (Here's a pfp)

Answers

First make a guest check

My Guest check #9

1 donut = $1.29

Donut holes = $4.89

Dozen Donuts = $12

Donut Holes = $4.89

$1.29 + $4.89 + $12 + $4.89 = $23.07

$23.07 * 8% = $24.92 is the 9th check list

My Guest check #10

1 donut = $1.29

1 donut = $1.29

Dozen Donuts = $12

Donut Holes = $4.89

$1.29 + $1.29 + $12 + $4.89 = $19.47

$19.47 * 8% = $21.03 is the 10th check list

The ratio of girls to boys is 5:3 in a class. If there are 15 girls in the class, what is the class size? What is the unit ratio?

Answers

Answer:

Try setting up a proportion: [tex]\frac{5}{15}=\frac{3}{x}[/tex] then cross multiply to solve for x which will try you how many boys are in the class.  Then add the number of boys and girls together.

Step-by-step explanation:


The maximum weight of a suitcase that an airline allows is 50 pounds. For every 1 pound, there is approximately 0.45 kilograms.

Answers

Answer: 22.5 kg

Step-by-step explanation:

You did not attach a question, so I'm going to assume that it is asking for the maximum weight of a suitcase in kilograms.

What is the sum of the interior angle measures of the polygon

Answers

Answer:

1260°

Step-by-step explanation:

The sum of the measures of the interior angles of a polygon of n sides is

(n - 2)180°

This polygon has 9 sides, so n = 9

sum = (9 - 2)180°

sum = 7(180°)

sum = 1260°

2
Which function has a greater rate of change?
Function 1
Function 2
4
3
2
The function whose input x and
output y are related by
1
X+
2
-*x+7
14-3-2-1 1 2 3 4
2
A) Function 1
B) Function 2
C) Neither, they are equal
D) Neither, one is nonlinear

Answers

a) function 1 has a greater rate of change
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