The option that gives the correct value of the second term is;
Option B; -73728x¹¹y
We are given the expression;
(2x - 3y)¹²
Now we want to find the second term using binomial expansion.
In binomial theorem, we have the following expressions;(x + y)² = x² + 2xy + y²
(x - y)³ = x³ - 3x²y + 3xy² + y³
(x - y)⁴ = x⁴ - 4x³y + 6x²y² - 4xy³ + y⁴
(x - y)¹² = x¹² - x¹¹y + x¹⁰y² - x⁹y³ + ....
Now applying this same system above to our question gives us;
(2x - 3y)¹² = 4096x¹² - 73728x¹¹y + 608256x¹⁰y² - 3041280x⁹y³ + ........
Thus, our second term here is; -73728x¹¹y
In conclusion, the correct option that gives the second term is Option B.
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Explain the steps for dividing decimals. Write three or four sentences.
Answer:
(assuming we're deciding decimals by decimals)
Dividing decimals is alot like regular decimal dividing. First, you must move the decimal places so it becomes a whole number. This makes it easier and less confusing as steps go on. Now we can divide regularly as we go on, making sure to put the amount of decimal spots we moved back in the answer.
Answer:
The first step is to make the divisor a whole number by multiplying it by a power of 10. When you multiply the divisor by a power of 10, you must multiply the dividend by the same power of 10. Then divide. Check your answer using estimation.
Step-by-step explanation:
Rhombus PQRS with vertices P(-1,-3), Q(3,-4), R(4,-8) and S(0,-7)
A)Translation along the vector (4,10)
B) 90 (degrees) counterclockwise rotation about the origin.
I need to know if 3750 is right or wrong cause I think that’s the answer
8 + (-7) - (7) = 8 + 7 + (-4)
Answer:
The inequality is false and equals -14=3
Step-by-step explanation:
You want to start by cancelling equal terms on both sides of the equation which means getting rid of both 8's. You are left with (-7)-(7)=7+(-4).
From here you want to solve both sides meaning adding -7-7 because both terms are negative they will combine, and the other side which is -7+4. They are opposite terms so you will subtract. This leaves you with -14=3 which is false.
At a comic book convention vendor I was selling a set of 5 comics for $38.70.
Vendor 2 was selling a set of 4 comics for $30.76. Which vendor has the higher
unit price?
Answer:
Vendor I sells more by 0.05
Step-by-step explanation:
First, you do Vendor I, divide 38.70/5, which gives you $7.74.
Then, you go to Vendor 2, divide 30.76/4 and that makes the answer $7.69.
7.74 - 7.69 = 0.05
Vendor 1 has more then Vendor 2 by 5 cents.
Solve for me please
Answer:
[tex]{ \rm{10x + 5y + 2z = 5}} \\ { \rm{4x - 5y - 5z = 8}} \\ { \rm{3x + 5y + 4z = 1}}[/tex]
• First find x
[tex]{ \rm{10x = 5 - 5y - 2z - - - (i)}}[/tex]
• Find y
[tex]{ \rm{4x = 8 + 5y + 5z - - - (ii)}}[/tex]
• Find z
[tex]{ \rm{3x = 1 - 5y - 4z - - - (iii)}}[/tex]
equate the three equations:
[tex]{ \rm{0z - 10= 2y}} \\ \\ { \boxed{ \bf{y = - 5}}}[/tex]
Find z
[tex]{ \rm{z = ( - 1 \times - 5)}} \\ \\ { \boxed{ \bf{z = 5}}}[/tex]
Find x
[tex]{ \rm{3x + 5y + 4z = 1}} \\ \\ { \rm{3x - 25 + 20 = 1}} \\ \\ { \rm{3x = 6}} \\ \\ { \boxed{ \bf{x = 2}}}[/tex]
Simplify this please: ^4√y^20
Answer: y^5
Step-by-step explanation:
In the picture
2 (b) The line, L4, passes through the point (0,3)and is parallel to the line y - x + 3 = 0, find the equation of L4 -
Answer:
y = x + 3
Step-by-step explanation:
→ Rewrite y - x + 3 = 0 in y = mx + c format
y = x - 3
→ Find the gradient of L4
1
→ Rewrite into y = mx + c format
y = x + c
→ Substitute in ( 0 , 3 )
3 = 0 + c
→ Find c
c = 3
→ Rewrite into y = mx + c
y = x + 3
When converted to a household measurement, 9 kilograms is approximately equal to a
What is 317.466 ounces or 19.8 pounds
1kg in household measurement is equal to 35.274 ounces.
So, 35.274*9= 317.466 ounces
317.466/16= 19.8 pounds
Answer:
D) 19.8 lbs
Explanation:
1kg in household measurement is equal to 35.274 ounces. 35.274*9=317.466 ounces.
1kg is also equal to 2.205 lbs. 9*2.205=19.8416
9 kg is also equal to 9000 grams, but grams are not a part of the household measurement system
a) 9000 grams. b) 9000 ounces. c) 19.8 ounces. d) 19.8 pounds.
This leaves us with 19.8 lbs
−2/9−(−1/3÷3/5)
PLZZZZ ANSWER TEST
Answer:
The answer should be 1/3 Also known as 0.3333
Each big square below represents one whole. what percent is represented by the shaded area?
Answer:
175%
Hope this helps!
Im stuck on this anyone know it?
Answer:
The first one is correct
Step-by-step explanation:
Estimate the product 2.1 x 0.9
Answer:
2.0 estimated product
1.89 Actual product
Step-by-step explanation:
2.0*1.0=2.0
2.1*1.0=1.89
The product of 2.1 x 0.9 = 1.89
What is Product?A product is something that has been multiplied one or more times. For instance, the mathematical formula "times equals" would be written with the terms "times," "multiplicand," and "product," respectively.
Given:
2.1 x 0.9
Now, Multiplying
2 . 1
x 0 . 9
_________
1 8 9
0 0 x
__________
1 . 8 9
Hence, the product of 2.1 x 0.9 = 1.89
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What are the coordinates of the point?
(3,6)
(6, – 3)
(-3, -6)
(-3,6)
Answer:
The answer is D ( the last option in your list of possible answers. -3,6)
Answer:
(-3,6)
Step-by-step explanation:
It goes backwards 3 units to the left meaning the x value is negative 3. It goes up 6 meaning the y value is 6. Plug the values into (x,y) and you get (-3,6)
HELP LAST ATTEMPT!! marking as brainliest!
Answer:
i m not sure... whether it's correct or not......
bt I tried my best
NEED HELP ASAP WILL GIVE BRAINLIEST
Find the quotient: 11.28 divided by 4.7
Answer:
11.28 Divided by 4.7 equals 2.4.
Step-by-step explanation:
It's just simple division. Glad I could help though!
Answer:
2.4
Step-by-step explanation:
–27y • (–z) what is the answer
Step-by-step explanation:
27yz
that is the answer
brainiest please
Hello!
The answer is 27yz.
Why?
Because if we multiply a negative times a negative, we always get a positive number.
Hope this helps you!
~Just a joyful teen
[tex]SilentNature\\(GraceRosalia)[/tex]
Use a graphing utility to graph the equation. Use the graph to approximate the values of x that satisfy each inequality.
y =
1
2
x2 − 2x + 1
Answer:
25
Step-by-step explanation:
12x2=24-2x+1=25-2x
25-2x=y
(0)
25=y
A cylinder with a radius of 10ft has a volume of 2, 198.0013
What is the height of the cylinder
Answer:
~7 ft
Step-by-step explanation:
2,198.0013 = pi × 10^2 × h
h = 2198.0013 / (3.1416 × 100)
h = 6.996 ft ~ 7 ft
solve pls brainliest
Answer:
Step-by-step explanation:
3.92,
Stanley runs, swims, and bikes every day. During these workouts, he runs at 9 mph, bikes at 16 mph, and swims at 2.5 mph. Yesterday, he ran for half an hour longer than he swam, and his biking time was twice his running time. How long did Stanley run, swim, and bike yesterday if the total distance he covered was 64 miles?
Chapter Reference
e
What distance did Stanley cover while biking?
The time spent for each activity can be found writing an equation based on
the known parameters.
The duration of the time Stanley spent running is 1.5 hoursThe duration of the time Stanley spent swimming is 1 hourThe duration of the time Stanley spent Biking is 3 hoursThe distance Stanley cover while biking is 48 milesReasons:
The running speed = 9 mph
The biking speed = 16 mph
Swimming speed = 2.5 mph
The time spent running = 0.5 hour + Time spent swimming
Biking time = 2 × Running time
The total distance covered = 64 miles
Required:
Time spent running, swimming, and biking
Solution:
Let t represent the time Stanley spent swimming, we have;
(t + 0.5)·9 + 2.5·t + 2×(t + 0.5)×16 = 64
43.5·t + 20.5 = 64
43.5·t = 64 - 20.5 = 43.5
[tex]t = \dfrac{43.5}{43.5} = 1[/tex]
The time Stanley spent swimming, t = 1 hourThe time Stanley spent running = 0.5 + t
Therefore;
The time spent running = 0.5 hour + 1 hour = 1.5 hour
Time spent running = 1.5 hoursTime spent biking = 2 × Running time
Therefore;
Time spent biking = 2 × 1.5 hours = 3 hoursThe distance Stanley cover while biking, d = 3 × 16 mph = 48 milesLearn more here:
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the force (F) needed to cause the acceleration (a) of an object of mass, m, is given by the equation, F = ma where m is the objects mass. if a 12-newton force causes the object to accelerate to 3 m/s2 , what is the object's mass? the unit for this mass is kg.
help me pls /ᐠ｡ꞈ｡ᐟ\
Answer: According to Newton s Second Law of Motion, also known as the Law of Force and Acceleration, a force upon an object causes it to accelerate according to the formula net force = mass x acceleration. So the acceleration of the object is directly proportional to the force and inversely proportional to the mass.
Step-by-step explanation:
If F = ma where m is the objects mass. if a 12-newton force causes the object to accelerate to 3 m/s2 , then the mass in kg of the objects is 4 kg
What is Force?When a body tends to modify or change the state by an external cause, it is called Force.
Given:
F=ma
Where,
F = Force (N)
m = mass (kg)
a = acceleration (m/s²)
If
F = 12-Newton
m = 3 m/s²
a = ?
F = ma
12 = m × 3
12 = 3m
divide both sides by 3
m = 12/3
m = 4 kg
Therefore, the mass in kg of the objects is 4 kg
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P Simplify using
E
order of operations.
MD
AS
14 + 6 x 2 - 16 : 8
-
Enter
math
Answer:
Answer’s 43
Step-by-step explanation:
6+3=9
7(9)-4x5
63-4x5
63-20
Answer: 43
list five rational numbers between -4/5 and -2/3 . Please tell by step by step explaintion
9514 1404 393
Answer:
-0.67, -0.68, -0.69, -0.70, -0.71
Step-by-step explanation:
There are an infinite number of ways to do this.
Perhaps the simplest is to do it in decimal.
-4/5 = -0.8
-2/3 = -0.666... (repeating 6)
Any negative decimal number between these values will do. For example, ...
-0.67, -0.68, -0.69, -0.70, -0.71
__
If you want to choose fractions that are evenly spaced between the given values, you can find their difference, then divide that difference into 6 parts (1 more than the number of numbers you need).
-2/3 -(-4/5) = 4/5 -2/3 = (12 -10)/(5·3) = 2/15 . . . . length of interval
1/6 of this difference is ...
(1/6)(2/15) = 2/90 = 1/45
The interval end point nearest 0 is ...
-2/3 = -30/45
so the 5 intermediate values will be that value with -1/45 repeatedly added:
-31/45, -32/45, -33/45 = -11/15, -34/45, -35/45 = -7/9
_____
Additional comment
The fractions we came up with could be referred to as "5 arithmetic means between -2/3 and -4/5." There is nothing in the problem statement suggesting the values need to be evenly spaced.
When doing this in decimal, you can obtain a new value simply by adding more digits to the decimal fraction:
-0.68, -0.685, -0.6853, -0.68531, -0.799
Can you answer number 7
Answer:
x= 62
Step-by-step explanation:
brainliest please
6. Han followed these instructions to make the image. a. Given line), mark 2 points on the line b. Construct congruent circles a and b centered at the points on ). c. Construct line e through the intersection points of a and b. d. Construct circle e centered at 1 intersection point of a and ó. Mark the 2 intersection points of d'and. e. Construct aangruent carcles Anand i centered at the points on g. Construcline through the intersection points of Anand Write a statement about each pair of lines in this construction. (3 statements) pls help
Three statements are as follows -
1. It is a straight line drawn with a straightedge and cuts across the lines.
2. Both drawn with the same compass width.
3. Corresponding parts of congruent triangles are congruent.
This construction works by using the fact that a transverse line drawn across two parallel lines creates pairs of equal corresponding angles. It uses this in reverse - by creating two equal corresponding angles, it can create the parallel lines.
This is how to construct a line parallel to a given line that passes through a given point with compass and straightedge or ruler. It is called the 'angle copy method' because it works by using the fact that a transverse line drawn across two parallel lines creates pairs of equal corresponding angles. It uses this in reverse - by creating two equal corresponding angles, it can create the parallel lines.
Hence the three statements of the image are -
It is a straight line drawn with a straightedge and cuts across the lines. Both drawn with the same compass width.
Corresponding parts of congruent triangles are congruent.
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Solve for x.
x = [?]
5x - 7/. 3x + 27
Step-by-step explanation:
5x-7+3x+27=180
8x+20=180
8x=160
x=20°.
hope this helps you.
Answer:
[tex]5x - 7 + 3x + 27 = 180 \\ 5x + 3x + 27 - 7 = 180 \\ 8x + 20 = 180 \\ 8x = 180 - 20 \\ 8x = 160 \\ d \: b \: s \: by \: 8 \\ 8x \div 8 = 160 \div 8 \\ x = 20[/tex]
Please help me with this question❤️ thanks
Answer:
70
Step-by-step explanation:
that can be 30 ft
Suzy can type 85 words in 2 minutes. How many minutes will it take her to type her to type 500 word paper?
Answer:
11,765
Step-by-step explanation: 1 word make up 0,024 minute so 500 words 500.0,024 = 11,765 minutes
Which equation represents the line that passes through C(2,4) and is perpendicular to the graph of y=1/3x-1?
Answer:
Step-by-step explanation:
y=-3x + b the slope is the negative inverse of 1/3
4=3(2) + b
b =-2
the equation is
y=-3x - 2
slope is the negative inverse. You find the y intercept, b, by plugging in the point (2,4) to get 4=3(2)+b