There are six wires which need to be attached to a circuit board. A robotic device will attach the wires. The wires can be attached in any order, and the production manager wishes to determine which order would be fastest for the robot to use. Use the multiplication rule of counting to determine the number of possible sequences of assembly that must be tested. (Hint: There are six choices for the first wire, five for the second wire, four for the third wire, etc.)

Answers

Answer 1

Answer:

[tex]S=720[/tex]

Step-by-step explanation:

From the question we are told that

Six wire are attached to a circuit board

Generally using multiplication rule

Let number of possible sequence be given as S

Mathematically  

[tex]S=6! =6*5*4*3*2*1=720[/tex]

Therefore

Number of possible sequence [tex]S=720[/tex]


Related Questions

X=number of hours
Y=number of tents made

X=0,1,2,3,4,5,6,7,8
Y=6,7,8,9,10,11,12,13,14

What is the slope? What does it represent?

Answers

Given:

X=number of hours

Y=number of tents made

Table of value.

To find:

The slope and its interpretation.

Solution:

Consider any two points from the table, i.e., (0,6) and (1,7).

The slope is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{7-6}{1-0}[/tex]

[tex]m=\dfrac{1}{1}[/tex]

[tex]m=1[/tex]

Therefore, the slope is 1 and it represent that the number of tents made are increasing by 1 units in each hour.

Figure VWYX is a kite.

Kite V W Y X is shown. Sides V W and W Y are congruent, and sides V X and Y X are congruent. Angles V and Y are right angles. Angle W is (18 x minus 2) degrees and angle X is (12 x + 2) degrees.

What is the measure of angle VXY?

72o
74o
106o
108o

Answers

Answer:

B 74

Step-by-step explanation:

right on edge

The solution is, The value of x is 6.

What is  simplification?

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

here, we have.

given that,

Figure VWYX is a kite.

Sides V W and W Y are congruent, and sides V X and Y X are congruent.

Angles V and Y are right angles.

Angle W is (18 x minus 2) degrees and angle X is (12 x + 2) degrees.

The total of angles in any quadrilateral is 360°.

Angles V and Y are 90° each,

so the total of W and X must be 180°.

we have,

 (18x -2) +(12x +2) = 180

 30x = 180

 x = 180/30

    = 6

The value of x is 6.

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hi im 29 yrs of age and just going back to school torecieve my hs diploma.i have 2 subjects left which is math and writing.im having a problem with adding fractions.one of the math problems are 3 1/7 + 6 4/7 i came up with 9 5/7 but im not sure this is correct

Answers

Answer:

yup your answer is correct

Step-by-step explanation:

xhfdgkdhkchkdgjdgkfkyfgkfhg

Answer:

it's correct and i'm 13

if u add the whole numbers first which is 3+6 which equals 9 and then u add 1/7 + 4/7 which will give you 5/7. So the whole answer will be what you said 9 5/7

Algebra 2 2.11 system of Linear inequalities

Answers

Answer:

Constraints;

T + F ≤ 2000

4t ≥ F

T ≥ 0

F ≥ 0

Step-by-step explanation:

T- Technology stock

F - food stocks

T + F ≤ 2000

4t ≥ F

T ≥ 0

F ≥ 0

Now one has to use linear programming to solve this problem.

The table shows test scores for six students. Do the data show a positive or a negative correlation? Can the data be used to show causation?

Answers

It does show a positive correlation and yes the data can be used because they are increasing as you go right.

Peng bought 26 treadmills for her new fitness center at $1,334 each. Then, she bought 19 stationary bikes for $749 each. How much did she spend on her new equipment? Write an expression, and then solve.

Answers

Answer:

(26 x $1,334) + ( 19 x $ 749) = $48,915

Step-by-step explanation:

All together she spent $45,915. She spent $34, 684 on treadmills and $14,231 on Stationary bikes.

hope this helps. If it does please mark me the brianliest!

Peace and Love

a. The ratio between the lengths of two
pieces of lumber is 2:3. The longer piece is
21 ft long. How long is the shorter piece?




Help me please

Answers

Answer:

14 feet

Step-by-step explanation:

Let the shorter piece have length x.

Since the ratio is 2:3 and the longer piece is 21 feet long, we can write that as 2:3 = x:21.

Writing it as fractions, we get 2/3 = x/21 —(multiply by 21)—> x = 21*2/3 = 7*2 = 14 feet.

Thus, the shorter piece is 14 feet.

I hope this helps! :)

the shorter piece is 14ft long

Step-by-step explanation:

let the shorter piece be x

longer piece will be x:21

ratio of two pieces= 2:3

2:3=x:21

2/3=X/21

then cross multiply

21×2=3x

42/3=3x/3

X=14

2:3=14:21

hope it helps

Ryan drove 480 miles and used 20 gallons of gas. How many miles did Ryan’s car get per gallon? Write an equation that would solve this problem.

Answers

The answer is 24 MPG

What times what gives you 5700?

Answers

Answer:

57 × 10 will give you 5700, as well as 285 × 20.

A submarine out of death of 2167 feet ascends to a depth of 609ft. How far did the submarine ascend?

Answers

Answer:

A submarine was situated 800 feet below sea level. If it ascends 250 feet, what is its new ... Roman Civilization began in 508 B.C. and ended in 476 A.D. How long did Roman Civilization last? 476-(-508) = 476+508 = 984 ...

the correlation between years of education and salary in a sample of 20 people from a certain company is .4. is this correlation statistically significant.

Answers

Complete Question:

The correlation between years of education and salary in a sample of 20 people from a certain company is .4. Is this correlation statistically significant at the .05 level?

Answer:

We accept [tex]H_o[/tex] hence no significant  evidence

Step-by-step explanation:

From the question we are told that

sample correlation n= 20

population correlation  = 4

level of significance [tex]\alpha =0.05[/tex]

Generally we are task to understand existing difference between  sample correlation and population correlation

Generally null hypothesis  is given by [tex]H_o : p=0[/tex]

alternative hypothesis [tex]H1_1 : p\neq 0[/tex]

generaly the mathematical representation of test statics

        [tex]t= r\sqrt{\frac{n-2}{1-r^2} }[/tex]

        [tex]t= 0.04\sqrt{\frac{20-2}{1-0.4^2} }[/tex]

        [tex]t= 1.85[/tex]

Generally for table the p value is given by [tex]p= 0.08056[/tex]

p value > the null hypothesis

Therefore

We accept [tex]H_o[/tex] hence no significant  evidence

Chloe is making brownies that call for 4 large eggs to make 16 brownies. How many eggs will she need if she wants to make 40 brownies but keep the same great recipe flavor ?​

Answers

Well, if you multiply 4 by 2 and get 8 eggs that calls for 32 brownies. And since 4 eggs makes 16 brownies. That would mean that 2 eggs can make 8 brownies. Take the 8 eggs from earlier and at 2 eggs you get 40 brownies with the same flavor. So 10 eggs

Answer: 10 eggs

Step-by-step explanation:

you need to divide 40 by 16 then you multiply that by 4 and you get 10.

Solve the following polynomial:
(
x

2
)
2
(
x
+
2
)
4
(
x

5
)
2

Answers

Answer: 16 • (x - 2) • (x + 2) • (x - 5)

Step-by-step explanation: 1

(((2•(x-2)•(x+2))•4)•(x-5))•2

STEP

2

:

Equation at the end of step 2

((2•(x-2)•(x+2)•4)•(x-5))•2

STEP

3

:

Equation at the end of step 3

(8 • (x - 2) • (x + 2) • (x - 5)) • 2

STEP

4

:

Equation at the end of step 4

8 • (x - 2) • (x + 2) • (x - 5) • 2

STEP

5

:

Final result :

16 • (x - 2) • (x + 2) • (x - 5)

96 cm
с
B
ABC is a right angled triangle. if B = 90°, AC = 96 cm, C = 30°.
cm
AB =

Answers

Answer:

The length of AB is 48 centimeters.

Step-by-step explanation:

According to the given information, AC is the hypotenuse of the right triangle, since it is opposed to a right angle (angle B). BC is the leg adjacent to angle B, whereas AB is the leg opposed to angle C. Then, we can find the length of AB by the following trigonometric identity:

[tex]\sin C = \frac{AB}{AC}[/tex] (1)

If we know that [tex]AC = 96\,cm[/tex] and [tex]C = 30^{\circ}[/tex], then the length of [tex]AB[/tex] is:

[tex]AB = AC\cdot \sin C[/tex]

[tex]AB = (96\,cm) \cdot \sin 30^{\circ}[/tex]

[tex]AB = 48\,cm[/tex]

The length of AB is 48 centimeters.

hirokis goal is to collect $40 for a school fundraiser

Answers

Answer:

is there more?

Step-by-step explanation:

Answer:

40-26.50=m

Step-by-step explanation:

Cause im doing it right now and i got it right

i need help with this question

Answers


I don't know if you've learnt this, but there's something called the KFC rule (you use it when dividing fractions), so k basically stands for keep (so you keep the first fraction), f stands for flip (so you flip the second fraction) and c stand for change (you change the division sign to a multiplication sign)

So you get

5/20*11/5

55/100

which is 11/20

so, an answer of 11/20 would make Quintin correct

9514 1404 393

Answer:

  11/20

Step-by-step explanation:

It is appropriate to "invert and multiply".

  [tex]\dfrac{5}{20}\div\dfrac{5}{11}=\dfrac{5}{20}\times\dfrac{11}{5}=\dfrac{5\times11}{5\times20}=\boxed{\dfrac{11}{20}}[/tex]

Perform the indicated operation. (2x + y)^2

Answers

Answer: 2x^2 + y^2

Hope this helps :)

a bus traveled 60 km of north of its terminal. From this point, it traveled km east. How far is the bus from the terminal?

Answers

maybe 61km from northeast

how much of the other juice will be left over?​

Answers

Hot dog juice is the best. There will not be any hot dog juice left over because I drank it all. Hot dog, Hot dog, Hot diggity dog!

I REALLY NEED HELP!!!!!!!!!!!!

Answers

Answer: 64 centimeters squared.

Step-by-step explanation: This shape is a parallelogram. And the area of a parallelogram is just the base multiplied by the height. Here, the base is 10 cm and the height is 7 cm. So you might think the the area is just 70 centimeters squared. But here's the catch. There is a rectangular region in this parallelogram that is not shaded. But you can still easily solve this problem. All you need to do is find the area of that rectangular region and you already know the length and the width of this region. And, remember, the area of a rectangle is just the length and the width multiplied. So here, the area of that rectangular region is just 2 cm multiplied by 3 cm. Which will give you 6 centimeters squared. Now, all that's left to do is subtract the area of that rectangular region, 6 centimeters squared, from the total area of the parallelogram, 70 centimeters squared. And that should give you 64 centimeters squared as your final answer. I really hope this makes sense and is helpful.

Stefan sells Jin a bicycle for ​$115 and a helmet for ​$16. The total cost for Jin is ​%110 of what Stefan spent originally to buy the bike and helmet. How much did Stefan spend​ originally? How much money did he make by selling the bicycle and helmet to​ Jin?

Answers

Answer:

The answer is below

Step-by-step explanation:

a)

Amount Stefan sold the bicycle and helmet to Jin = cost of bicycle + cost of helmet = $115 + $16 = $131

This amount that Jin bought both bicycle and helmet is 110% of what Stefan spent originally to buy the bike and helmet.

Let x = what Stefan spent originally to buy the bike and helmet = original price. Hence:

110% of x = $131

(110 / 100) * x = 131

1.1x = 131

x = $119.09

b)

Hence the profit made from selling the bike = $131 - $119.09 = $11.91

A hiker travels at 2.8 miles per hour at a heading of N49°W from a ranger station. After 4 hours, how far north and how far west is the hike from the ranger station?

Answers

Answer:

Step-by-step explanation:

The diagram showing the pictorial view is attached below.

From the image, the distance of the hiker traveled which is denoted by "h" can be determined as follows:

h = 2.8 mi/hr × 4 hr

h = 11.2 mi

Using the trigonometric function;

The distance of how  far North is the hike from the ranger station can be determined by using the function of Sin θ

[tex]Sin \theta = \dfrac{opposite}{hypotenuse}[/tex]

[tex]Sin(41^0) = \dfrac{x}{11.2}[/tex]

x = Sin 41 (11.2)

x = 0.6561(11.2)

x = 7.34832

x ≅ 7.35 miles

The distance of how far west the hike from the ranger station is calculated by using:

[tex]cos \theta = \dfrac{adjacent}{hypotenuse}[/tex]

[tex]cos (41^0)= \dfrac{y}{11.2}[/tex]

y = 0.7547 × (11.2)

y = 8.45 miles

Select the correct answer from each drop-down menu. Quadrilateral ABCD is translated 7 units down and 2 units to the right. The length of side AB of the original quadrilateral is units. After the translation, the length of side AB will .

Answers

Answer:

select the correct answer from each drop-down menu. quadrilateral abcd is translated 7 units down and 2 units to the right. the length of side ab of the original quadrilateral is units. after the translation, the length of side ab will .

Ann writes the inequality d ≤ 16, where d equals the number of days, to represent this scenario.

Answers

Answer:

Answer is C

Step-by-step explanation:

A scenario describing the inequality {d ≤ 16} is given below.

What is inequality?

An inequality compares two or more numbers or expressions with one another. For example -

2x + 4y > 7

2x + 5y < 6

Given is that Ann writes the inequality d ≤ 16, where { d } equals the number of days.

A scenerio to represent this inequality is -

" Mike was not able pay the rent for the past 2 months. His landlord had asked him to pay the total rent within the 16 days."

Therefore, we can represent the given inequality as a scenario mentioned above.

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How can you get the sugar out of the sweet tea?​

Answers

Answer:

use the thingy with the holes I guess

Help me answer the question in the attached document pleaseeee

Answers

Answer:

1. Yes

2. No

3.No

Step-by-step explanation:

3 divided by 1/2
What’s the answer

Answers

Answer:

I think its 6

Step-by-step explanation:

Answer: 6

Step-by-step explanation:

Hey there! If you have any questions feel free to leave them in the comments below

3 ÷ [tex]\frac{1}{2}[/tex] = 6

You should flip the reciprocal and then multiply it by 3. 3 * 2 would = 6.

~I hope I helped you :)~

Fred is making a fruit salad. The ratio of cups of peaches to cups of cherries is 2 to 3. How many cups of peaches will Fred need to make 60 cups of fruit salad? PLEASE GIVE A STEP BY STEP WAY TO FIND THE SOLUTION

Answers

Answer:

24 cups

Step-by-step explanation:

To find the amount of peaches in a fruit salad, you would multiply the cups of salad by 2/5 because 2 cups of peaches are dedicated to the fruit salad for every 3 cups of cherries, having the peaches make up 2 out of every 5 cups or 2/5. So the equation would be 60=0.4x, with x being the cups of peaches.

Answer:

40 Cups

Step-by-step explanation:

The number we want is 2/3 of 60. We need to multiply 2/3 by 60 which is 40. 40/60 is the new ratio of peaches to cherries, which is still 2/3. This way, we know we did it correctly.

The distance a spring will stretch varies directly with how much weight is attached to the spring if a spring stretches 11 inches is 75 pounds attached how far will it stretch with 65 pounds attached round to the nearest 10th of an inch

Answers

Answer:

the weight that attached to the spring is 9.5 inches

Step-by-step explanation:

The computation is shown below:

inches per pound is

= 11 inches ÷ 75 pounds

Now for 65 pounds, it would be

=  11 inches ÷ 75 pounds × 65 pounds

= 9.5 inches

Hence, the weight that attached to the spring is 9.5 inches

The same is relevant and considered

A travel agency is advertising a vacation package that includes $250 fora $40a day for hotel. The agency also offers the option of eating breakfast and lunch at the hotel for
$10 a day for the length of the hotel stay.

Answers

Answer:

V(d) = 50d + 250 us the answer

The equation for the function V(d) is V(d) = 5d + 250 if the travel agency is advertising a vacation package that includes $250 for $40a day for a hotel.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that,

A travel agency is advertising a vacation package that includes $250 for $40a day for a hotel.

The agency also offers the option of eating breakfast and lunch at the hotel for $10 a day for the length of the hotel stay.

The equation for the function can be framed as follows:

Per day expense  = 40 + 10 = 50

Fixed expense = 250

V(d) = 5d + 250

Thus, the equation for the function V(d) is V(d) = 5d + 250 if the travel agency is advertising a vacation package that includes $250 for $40a day for a hotel.

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