Answer: 40320 sequence to test.
Step-by-step explanation:
we have given the following data:
No of wires which need to be attached to a circuit board = 8
What We need to find is the number of possible sequences of assembly that must be tested.
Using our multiplication rule of counting we arrive at,
Number of possible sequences of assembly is given by
8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
= 40320
i.e. there are 8 choices for the first wire, 7 choices for the second wire, 6 choices for the third wire, 5 choice for the fourth wire same till the 8th wire.
Hence, there are 40320 possible sequences of assembly.
701, 752 rounded to 710,000
On Monday joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of 14.25. How much was each cup of coffee
Answer:
each cup cost 1.25 on Tuesday
What is the common ratio between successive terms in a sequence?
1.5, 1.2,0.96, 0.768, ...
9514 1404 393
Answer:
0.8
Step-by-step explanation:
The ratio of the first two terms is ...
1.2/1.5 = 4/5 = 0.8
That is also the ratio of successive adjacent terms.
0.96/1.2 = 0.768/0.96 = 0.8
The common ratio is 0.8.
-45 x (-2) solve please
Answer:
-90x Mark Me Brainlest Please
Step-by-step explanation:
how do you simplify decimals??
ex) simplify.
7.21 + 4.2
Answer:
7.21+4.2
for 4.2 we can write it as 4.20 because 0 has no value after decimal point
then 7.21+4.20
by adding both we get 11.41
hope it helps you mate
please mark me as brainliast
Answer:
11.41
Step-by-step explanation:
7.21
+4.2
= 11.41
Solve the system by substitution.
y=-x^2+2x+10
y=x+4
Answer:
x=3, y=7
x=-2, y=2
Step-by-step explanation:
System of Equations
We have the following equations:
[tex]y=-x^2+2x+10[/tex]
[tex]y=x+4[/tex]
We'll solve it by substitution. Since the second equation is already solved for y, we use that expression and substitute into the first equation:
[tex]x+4=-x^2+2x+10[/tex]
Since this is a quadratic equation, it's convenient to have all terms to one side:
[tex]x+4+x^2-2x-10=0[/tex]
Simplifying and reordering:
[tex]x^2-x-6=0[/tex]
Factoring:
[tex](x-3)(x+2)=0[/tex]
Solving:
x=3, x=-2
Those yield to two solutions for y:
y=x+4
y=7, y=2
The solutions of the system are:
x=3, y=7
x=-2, y=2
PLEASE ANSWER I WILL MARK BRAINLEIST
The leg of a right triangle is 2 units and the hypotenuse is 5 units. What is the length, in units, of the other leg of the triangle?
Group of answer choices
3
Square root of 21
Square root of 29
7
Answer:
It is the Square root of 21
Step-by-step explanation:
You borrow $600 to buy a violin. The simple interest rate is 15%. You
pay off the loan after 5 years. How much do you pay for the loan?
What would the monthly payment be for the loan?
Answer:
$1050
Step-by-step explanation:
$600*15%*5=$450 interest
interest+borrowed=loan
$450+$600=$1050
I don't know the monthly payment sorry
329-(-104)
Help ASAP
Answer:
433
Step-by-step explanation:
When there are 2 neatives together like that it changes to a positive. So it woud be 329+104=433
?+7,785= $12,603
please help, I'm completely lost.
Answer:4818
Step-by-step explanation:7785-12603=4818
choose a linear function for the line representing by the point slope equation y-5=3(x-2)
Answer:
y=3x-1
Step-by-step explanation:
To find the linear function you first need to put the equation into standard slope intercept form which is y=mx+b. m represents the slope and b represents where the line intercepts the y axis.
To figure it out you need to solve for y.
y-5=3(x-2)
Expand 3(x-2) to 3x-6.
y-5=3x-6
Isolate the y by adding 5 to both sides, giving you y=3x-1.
The slope is 3 and the Y intercept is -1.
456x5 please help me I don’t know how to work this out but I think you do 5x6 which is 30 than I don’t know after that??
Answer:
20,320
Step-by-step explanation:
6*5=30 PUT YOUR 3 UP AND KEEP THE ZERO ON BOTOM THEN 5*5 IS 25 PUT YOUR 2 UP AND YOUR 5 ON BOTTOM THEN 5*4= 20 PUT YOUR 2 UP AND 0 ON BOTTOM THEN PUT A ZERO UNDER YOUR FIRST 0 AND THEN TAKE 6*4= 24 PUT YOUR 2 UP AND YOUR 4 ON BOTTOM AND THEN TAKE 4*5= 20 PUT YOUR 2 UP AND 0 ON BOTTOM AND THEN TAKE 4*4 = 16 AND TAKE AND PUT YOU 1 UP AND YOUR 6 ON BOTOM AND ADD THEM TOGETHER
Shana took a test with 50 questions. she lost 2 points for each of the 5 questions she got wrong. She got all 3 extra credit questions correct and received 5 points for each. What is the total number of points she gained lost overall? A: gained 7 points
B: gained 5 points C: lost 5 points D: lost 20 points
Answer:
Answer
Answer is option A gained 5 points
Step-by-step explanation:
Please mark as brainliest
What is the second step in identifying grouped mean?
Answer:
B
Step-by-step explanation:
Divide the sum obtained in preceding step by total number of frequencies.
A bucket is leaking. After 3 hours the bucket has leaked 6 gallons. How many gallons per hour is the bucket leaking?
Answer:
2 gallons
Step-by-step explanation:
divide 6 by 3 because that's the amount
Answer:
2 gallons
Step-by-step explanation:
Matek spends 4/5 of his homework time on math. He spends 1/12 of it on writing. What fraction of his homework time is spent on math or writing? Simplify the answer if possible.
Answer:
53/60 of his homework time
Step-by-step explanation:
We need to find 1/12 of 4/5, which can be calculated via the addition:
1/12 plus 4/5
1/12 + 4/5 = 5/60 + 48/60 = 53/60
So Matek spent 53/60 of his homework time on writing or math
help me plzzzzzzzzzz
Answer: A
Step-by-step explanation:
I think A
Solve 6.74x – 1.026 = 0.138. Round to the nearest thousandth. Show your work.
Answer:
x=0.173
Step-by-step explanation:
First thing I would do is add 1.026 to both sides. This would get you a equation that looked like, 6.74 x=1.164. Then just divide 1.164 and 6.74 by 6.74. This would get you x=0.1727003. Then because you have to round to the nearest thousand you have to round the 2 up because 7 is more then 5. Keep the first two number the same. The final answer is x=0.173.
8 of 10
1
3
Work out the sum of 5 and
10
Give your answer in its simplest form.
Answer:
uuuuhhhhhh
Step-by-step explanation: srry too hard
Solve 6 < x + 5 < 11
Answer:
I think it should be 1 < x ≤ 6
Step-by-step explanation:
I'll send u the graph
Answer:
9
Step-by-step explanation:
2x3=6
3x3=9
A triangle has vertices on the coordinate grid at points A(2, 4), B(2, 9) and C(5, 6) . What is the length, in units, of AB ?
Answer:
5 units long
Step-by-step explanation:
If you graph it, it is a simple straight line 5 units long between A and B.
You could also use the distance formula if you had to do more advanced distance calculations.
The distance formula is d=√((x2-x1)²+(y2-y1)²)
Suppose we want to choose 6 letters, without replacement, from 12 distinct letters
You have a box with dimensions 2 ft. x 4 ft. x 3 ft. a. If you want to wrap the box, what is the minimum amount of wrapping paper you need? b. If the paper cost $2.59 per square foot, what is the minimum cost?
Answer: A) 52 ft B) $134.68
Step-by-step explanation:
First find the surface area by multiplying the dimensions together.
2 x 4 = 8
2 x 3 = 6
4 x 3 = 12
Then add them up and multiply by two because there are two of each side.
26 x 2 = 52
To find the cost, multiply 52 by $2.59 to get the price.
52 x $2.59 = $34.68
44756 divided by 167
Answer:
268
Step-by-step explanation:
hope this helps if not im sorry
what integer represents a gain of $9
Read the problem in the box below. Make a list to help you find the correct
answer.
Radio listeners were asked to call in and pick their
two favorite rodents. The listeners had 4 choices:
Woodchuck, Prairie dog, Beaver and Chipmunk.
Which of the following is the complete list of the
possible pairs of rodents?
A. WP, PW, WC, PB, PC, BP
0 0
B. WP, WB, WC, PB, PC, BW
C. WP WB, WC, PB, PC, BC
D. WP CB, WC, CP, PC, BC
Answer:
C. WP WB, WC, PB, PC, BC
Step-by-step explanation:
List the possible combinations. (With no duplicates)
WP, WB, WC
PB, PC
BC
Now check your options for the answer with the combinations you had.
That is your answer.
In a lab a 30% acid solution is being mixed with a 5% acid solution to create a 10% acid solution. What is the ratio
of the amount of the 30% solution to the amount of 5% solution used to create the 10% solution?
1.3
1:4
1.5
1.6
Done
Intro
Answer:
1:4
Step-by-step explanation:
If x is the volume of 30% acid solution, and y is the volume of 5% acid solution, then:
0.30x + 0.05y = 0.10(x + y)
0.30x + 0.05y = 0.10x + 0.10y
0.20x = 0.05y
x/y = 0.05/0.20
x/y = 1/4
if i get £20 pounds at week and I need £470 pounds how many weeks do I have to save for
Answer:
23.5 weeks.
Step-by-step explanation:
470/20 is 23.5
Answer:
23.5 weeks or 24 weeks
Step-by-step explanation:
470/20 = 23.5
If you are not rounding to the next week, then its 23.5.
If you are rounding to the next week, then it should be 24.
One car dealer sells a car with a $500 down payment and payments of $250 per month. Another car dealer sells the same type of car with no down payment and monthly payments of $300 per month. After how many months will the buyers have paid the same amount? Use m for your variable
Answer:
By month 10 both buyers will have paid the same amount of 3,000.
Step-by-step explanation:
The equation would be 500 + 250m = 300m. If you put 10 in for m you get the same amount on both sides of the equation.
500 + 250m = 300m
500 + 250(10) = 300(10)
500 + 2,500 = 300(10)
3,000 = 300(10)
3,000 = 3,000