Answer:
[tex]715x^4y^9[/tex]
Step-by-step explanation:
Given
[tex](x + y)^{13[/tex]
Required
Determine the 10th term
Using binomial expansion, we have:
[tex](a + b)^n = ^nC_0a^nb^0 + ^nC_1a^{n-1}b^1 + ^nC_2a^{n-2}b^2 +.....+^nC_na^{0}b^n[/tex]
For, the 10th term. n = 9
So, we have:
[tex](a + b)^n = ^nC_{9}a^{n-9}b^{9[/tex]
[tex](x + y)^{13} = ^{13}C_{9}x^{13-9}y^9[/tex]
[tex](x + y)^{13} = ^{13}C_{9}x^4y^9[/tex]
Apply combination formula
[tex](x + y)^{13} = \frac{13!}{(13-9)!9!}x^4y^9[/tex]
[tex](x + y)^{13} = \frac{13!}{4!9!}x^4y^9[/tex]
[tex](x + y)^{13} = \frac{13*12*11*10*9!}{4!9!}x^4y^9[/tex]
[tex](x + y)^{13} = \frac{13*12*11*10}{4!}x^4y^9[/tex]
[tex](x + y)^{13} = \frac{13*12*11*10}{4*3*2*1}x^4y^9[/tex]
[tex](x + y)^{13} = \frac{17160}{24}x^4y^9[/tex]
[tex](x + y)^{13} = 715x^4y^9[/tex]
Hence, the 10th term is [tex]715x^4y^9[/tex]
Pleasd help me solve
Step-by-step explanation:
y = 2x
if x = 1 y = 2(1) = 2
if x = 2 y = 2(2) =4
Answer:
Pls. correct me if I'm wrong.
I hope it helps.
If you don't like it just ignire it. okay.
What is the median of the ages in this stem-and-leaf plot?
43
45
46
47
brain for the right answer
Answer:
46
Step-by-step explanation:
4 is in the middle then you go to the side which is uneven. 5 and 7 arein the middle. you add them which equals 12 and divide by two. which equals 26.
Answer:
its actaully 45
Step-by-step explanation:
Which are the best buys?
ay 3 books for Rs 60 or 5 same books for Rs 90
Answer:
Sine 3 books are for 60-
60/3
Rs20 (per book)
and 5 books for Rs 90-
90/5
Rs18 (per book)
Thus we can save 2Rs and 5 books for Rs 90 iscthe best buy
Vic's Dept. Store bought a pewter serving set for $1,250. Vic wants to markup the set at 60 percent of the selling price. The selling price of the pewter serving set should be:
Diameter of a circular track is 90 meters how far would you walk in one lap around the track ?
Answer:
282.74334
Step-by-step explanation:
C=2πr=2·π·45≈282.74334
-3 ·2·a+5(12·c·4) write the following expression in standard form
Answer:
;fdjjgddhkjfsfjihhkhff68g806t8e5f4s84d8r9dd85d9d95d659d659d6otduotco6tdoutcp6tco6tcoutcutoc
Answer:
Step-by-step explanation:
Use the circle below to find the following measures.
Arc QT = and
Answer:
m(arc QT) = 142°
m(arc STR) = 314°
Step-by-step explanation:
"Measure of intercepted arc is double of the inscribed angle"
From the picture attached,
Measure of inscribed angle QST = 71°
Therefore, measure of arc QT = 2 × Measure of angle QST
= 2(71°)
= 142°
Since, m(arc SR) + m(arc STR) = 360°
46° + m(arc STR) = 360°
m(arc STR) = 360° - 46°
= 314°
What is the volume of David’s box?
Answer:
H - 6x^7y^15
Step-by-step explanation:
Volume of a rectangular prism (box) is l x w x h
3x^2y^4 * 4x^2y^5 * 1/2x^3y^6
= 6x^7y^15
Which of the following points is on the y-axis? Select all that apply.
Group of answer choices
(-1, 4)
(0, 2)
(5, 0)
(4, -1)
(0, -8)
(-9, 0)
Answer: (0,2) and (0, -8)
Step-by-step explanation:
The pentagons JKLMN and PQRST are similar.
Find the length x of PQ.
Answer:
x=16/5
Step-by-step explanation:
scale fator 16/20
4/5
4*4/5
16/5
What is the area of a triangle with a base of 7 units and a height of 11 units?
A. 154 sq. units
B. 38.5 sq. units
C. 19.25 sq. units
D. 77 sq. units
Answer:
B
Step-by-step explanation:
Area of a triangle formula: 1/2bh
1/2*7*11 = 38.5 sq units
The value of area of a triangle with a base of 7 units and a height of 11 units is,
⇒ Area of triangle = 38.5 units²
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Base of triangle = 7 units
Height of triangle = 11 units
We know that'
Area of triangle = 1/2 x Base x Height
Hence, We get;
The value of area of a triangle with a base of 7 units and a height of 11 units is,
⇒ Area of triangle = 1/2 x Base x Height
⇒ Area of triangle = 1/2 x 7 x 11
⇒ Area of triangle = 38.5 units²
Thus, The value of area of a triangle with a base of 7 units and a height of 11 units is,
⇒ Area of triangle = 38.5 units²
Learn more about the triangle visit;
brainly.com/question/1058720
#SPJ5
a line passes through the point (-8,5) and has a slope of 5/4 write an equation in slope intercept form
Solve by Completing the Square
2x^2+4-5=7
Answer:
x = 2 or -2
Step-by-step explanation:
2x2+4−5=7
Step 1: Simplify both sides of the equation.
2x2−1=7
Step 2: Add 1 to both sides.
2x2−1+1=7+1
2x2=8
Step 3: Divide both sides by 2.
2x2
2
=
8
2
x2=4
Step 4: Take square root.
x=±√4
x=2 or x=−2
Answer:
x=2 or x=−2
\
whoever answers it gets 5 staars
Answer:
the line crosses the y-axis below the origin
Step-by-step explanation:
please help me with this question.
Answer:
you have to figure out the cordnests
Step-by-step explanation:
Which value is the solution to the equation 42 - j = 6?
O j = 7
O j = 8
O j = 12
O j= 14
Please help quickly thanks
Answer:
Step-by-step explanation:
6=42/j multiply both sides by j
6j=42 divide both sides by 6
j=7
Answer:
J=7
Step-by-step explanation:
6=42/j multiply both sides by j
6j=42 divide both sides by 6
j=7
Shereena made the following table she can’t decide if it’s arithmetic or geometric sequence look at the picture bellow and answer the two questions pleaseeeeee
Answer:
Step-by-step explanation:
The characteristic of geometric sequences is that any term divided by the previous term is a constant, called the common ratio. Each term in this sequence is 2 times the previous term. In this case the sequence is an=2(2)^x.
If it were an arithmetic sequence any term subtracted by the previous term would be constant, called the common difference.
g Suppose that a large mixing tank initially holds 500 gallons of water in which 50 pounds of salt have been dissolved. Another brine solution is pumped into the tank at a rate of 3 gal/min, and when the solution is well stirred, it is then pumped out at a slower rate of 2 gal/min. If the concentration of the solution entering is 2 lb/gal, determine a differential equation (in lb/min) for the amount of salt A(t) (in lb) in the tank at time t > 0. (Use A for A(t).)
Answer:
the required differential equation is dA/dt - [tex]\frac{2A}{t+500}[/tex] = 6
A(0) = 50lb
Step-by-step explanation:
Given the data in the question;
A(t) is the mass of the salt in in the tank at time t
the new volume of the solution in the tank increases by one gallon each minute
so
dA/dt = ( Rate in) - ( Rate out)
dA/dt = ( 3 gal/min × 2 lb/gal ) - ( 2 gal/min × [tex]\frac{A}{t+500}[/tex] lb/gal )
dA/dt = 6 - [tex]\frac{2A}{t+500}[/tex]
dA/dt - [tex]\frac{2A}{t+500}[/tex] = 6
A(0) = 50lb
Therefore, the required differential equation is dA/dt - [tex]\frac{2A}{t+500}[/tex] = 6
A(0) = 50lb
(4xy+6y-4x)-5xy-4x+3y
5 x − 1 ≤ 2 Give your answer as a fraction in its simplest form
Answer:
x ≤ 3/5
Step-by-step explanation:
5 x − 1 ≤ 2
Add 1 to each side
5 x − 1+1 ≤ 2+1
5 x ≤ 3
Divide each side by 3
5 x /5 ≤ 3/5
x ≤ 3/5
Ax + By=C
solve for x
Which list of numbers is in order from greatest to least?
Answer:
J
Step-by-step explanation:
it is 6, 2 1/3(7/3), 2, 1/4, 0, -5
Answer:
J.
Step-by-step explanation:
Greatest to Least :
6 numbers, 3 different types.
We have negatives, positives, and fractions in this list.
So what would we need to do first is decrypt the fractions, so how many times does 7 go into 3? 2 times, and it would 1/3 left, making the improper fraction into 2 1/3
So we have the greatest, 6
Then with the next 2 1/3 (7/3)
Then with 2
Then with 1/4
Then with 0
And since negative number are below 0
-5 would be the least number
What number is 11
%
of 90%
?
Answer:
180
Step-by-step explanation:
LOOK AT PICTURE, WHOEVER HAS CORRECT ANSWER, I WILL MARK BRAINIEST :)
Answer: A
Step-by-step explanation: cant contain division by a variable in a polynomial
Kiaan wants to pay for dinner at a restaurant. He has $30.00 in his wallet, and the meal costs $23.86. He wants to leave a 15% tip. Does he have enough? If so, how much will he have leftover? If not, how much more does he need? PLS EXPLAIN.
Answer:
2.56
Step-by-step explanation:
100%->23.86
15%-> 3.579
3.579+23.86=27.439(how much he needs to pay including tip)
30-27.439=2.561
≈2.56 (since we dont usually pay up to 3 d.p.)
how do you solve 3x-7 over 3
Answer: x - 7/3
Step-by-step explanation:
I think thats the farthest you can go with this problem
Answer:
Let's simplify step-by-step.
3x−7^3
=3x−343
Step-by-step explanation:
A can of dog food is on sale for 20% off the original price. If the original price is 1.35, what is the discount?
Answer:
You will pay $1.08 for a item with original price of $1.35 when discounted 20%
Step-by-step explanation:
What is the measure of XYZ?
Answer:
a. An inscribed angle is 1/2 the intercepted arc. The intercepted arc is 68°. The measure of angle xyz is therefore 34°.
Answer:
34 degrees
Step-by-step explanation:
Which is the greater rate? 6 points in 3 attempts 15 points in 5 attempts
Answer:
15 points in 5 attempts
Step-by-step explanation:
I don't see the proble to solve so I based it on what you wrote
Is y=-3x+6 linear or nonlinear
Answer:
373737373737373383847484
This equation is in the form y = mx + b and when a function
is written in this form, we know that it's a linear function.
Another way to tell that it's a linear function is
that the variable is raised to the first power.