Answer:
[tex]The\ third\ term\ is\ \boxed{36a^7b^2}\\[/tex]
Step-by-step explanation:
[tex]\left(\begin{array}{c}9\\ 1\end{array}\right)=\dfrac{9}{1} =9\\\\\left(\begin{array}{c}9\\ 2\end{array}\right)=\dfrac{9*8}{2*1} =36\\\\\\(a+b)^9=a^9+\left(\begin{array}{c}9\\ 1\end{array}\right)a^8b+\left(\begin{array}{c}9\\ 2\end{array}\right)a^7b^2+....+b^9\\\\\\The\ third\ term\ is\ \boxed{36a^7b^2}\\[/tex]
The given expression is:
[tex](a+b)^9[/tex]According to the question,
→ [tex]\binom{9}{1} = \frac{9}{1}[/tex]
[tex]= 9[/tex]
→ [tex]\binom{9}{2} = \frac{9\times 8}{2\times 1}[/tex]
[tex]= \frac{72}{2}[/tex]
[tex]= 36[/tex]
Now,
→ [tex](a+b)^9 = a^9+\binom{9}{1}a^8b+\binom{9}{2}a^7b^2+...+b^9[/tex]
hence,
The third term is "[tex]36a^7b^2[/tex]".
Thus the approach above is appropriate.
Learn more about expansion here:
https://brainly.com/question/5193745
You purchase a stock at $100 per share. It drops 40% the next day; however, a week later, it increases in value by 40%. If you sell it, will you break even? Explain your answer.
Answer:
No
Step-by-step explanation:
You start off with $400 and it drops 40%. Then the price dropped all the way down to $240. If it goes up another 40% of 240, that'll be $336. So you lost around $64
In this exercise we have to use our knowledge of finance to analyze the given situation and identify if a break even occurs, so we have:
Yes, you will have a break even, as you lose 16 dollars per sale.
First we have to analyze what the break even is, this would be:
In commerce and trade, particularly cost accounting, the break-even point (BEP) exist the point at that cost or expense and profit exist equal: there happen no total amount of money lost or gain, and individual bear "crushed even". In the linear case the break-even point happen effective the established costs detached for one contribution room around something for one.Returning to the question, we have that:
[tex]100-40\%= 60\\60+40\%=84\\100-84=16[/tex]
See more about finances at brainly.com/question/10024737
what is the difference between 2/3 - 1/2
which property is illustrated by the following ?
if a = b + 7 and b + 7 = 9, then a = 9
Step-by-step explanation:
Associative property
We know
a + (b + c) = (a + b) + c
a = b + 7
b + 7 = 9
Rearrange Eq. 2
9 = b + 7
a = b + 7
Hence,
Value of a is 9
Based on the data provided,
who do
you
think is the better
basketbatt plaget?
tebron James
Steph Curry
2251 points
1346 points
DO
51 games
Answer:
labron*
Step-by-step explanation:
X+4=7+mn
Rearranging equations can I pls have a step by step explanation I am really confused and could really use the help.
Can you pls help me with these
Answer
4×x
8-y
6÷x
y-12
y+9
5^2
Round the following numbers to the nearest
tenth:
3.568409
-1.293857291
Answer:
Answer:
I
110.254
2.932789
Answer:
Answer:
Answer:
3.6
- 1.3
110.3
2.9
Step-by-step explanation:
The radius of a circle is 8cm. What is the circumference?
3x2 + 5x - 7(x2 + 4)
Answer:
-4x^2+5x-28
Step-by-step explanation:
Expand -7(x^2 +4) = 3x^2+5x-7x^2-28
Simplify 3x^2+5x-7x^2-28 = -4x^2+5x-28
Answer: -4x² + 5x - 28
Step-by-step explanation:
Given expression
3x² + 5x - 7 (x² + 4)
Expand parentheses and apply the distributive property
=3x² + 5x - 7x² - 28
Combine like terms
=(3x² - 7x²) + 5x - 28
=[tex]\boxed{-4x^2+5x-28}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
I got 12 for this but can someone go over it and show the steps please & thanks!!
Answer:
=12
Step-by-step explanation:
2 × {4 ÷ 2 -5}^2 -6
Solve the brackets first
2 × { 2 -5}^2 -6
2 ×{ [tex]-3^{2}[/tex]} -6
2 × 9 -6
18 -6
= 12
Answer:
12
Step-by-step explanation:
Solve the bracket
2* (4÷2-5)^2 -6
2× (2-5)^2 -6
2×(-3)^2 -6
2×(-3×-3)-6 (- × - = +) Negative × Negative = Positive
2×(9)-6
18-6
12 is the final answer
Based on the data which table shows a constant of proportionality of 3 for the ratio of Amos and guitars?
Factor by using the perfect square trinomial formula
x^2+4x+4
A. x^2 +4x+4=__
B. The poly. is prime
pleaseeeee answer fast
Two poles, A and B, are 12 meters apart. Pole A is 5 meters high. A rope 20 meters long is tied to the top of pole A and stretches to the top of pole B. What is the height of pole B? Assume that pole B is taller than pole A.
Hint: Use the Pythagorean theorem to find the value of x.
A.
19
B.
20
C.
21
D.
13
E.
15
Can someone that's very good at math please help me?
35: Problem Solving:You deposit $2000 in an account that earns simple interest at an annual rate of 4%.How long must you leave the money in the account to earn $500 in interest?
36: Problem Solving: A flight averages 460 miles per hour.The return flight averages 500 miles per hour due to a tailwind.The total flying time is 4.8 hours.How long is each flight?
Answer:
35 :
t = 6.25 years
(about 6 years 3 months)
Equation:
t = (1/r)(A/P - 1)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 4%/100 = 0.04 per year,
then, solving our equation
t = (1/0.04)((2500/2000) - 1) = 6.25
t = 6.25 years
The time required to get a total amount, principal plus interest, of $2,500.00 from simple interest on a principal of $2,000.00 at an interest rate of 4% per year is 6.25 years (about 6 years 3 months).
36:
The two distances are the same (out and back), so set them equal.
That is done by having a (rate)(time) equal a (rate)(time).
One time is “x” and the other is “4.8-x.”
One rate is 460 and the other is 500.
460 x = 500 (4.8 -x)
460 x = 2400 - 500x
900 x = 2400
x = 2.5 hours for the slower plane.
4.8- x = 2.3 hours for the faster plane.
Erin is buying produce at a store. She buys c cucumbers at $0.69 each and a apples at $0.89 each. What does the expression 0.69c + 0.89a represent?
The expression represents the
(select)
.
Answer:
It represents the total amount that Erin is going to spend at the store.
Step-by-step explanation:
helppppppppppppppppppppppppppp
Answer:
14 cm
Step-by-step explanation:
One side of the composite has a length of 6 and the other side has a length of 8.
If we add these two numbers, we'll get the missing side length of the rectangle
6 + 8 = 14 cm
What is the index of the radical below?
Answer:
a: 5
I am dam sure
Please simplify 6p-2q+4r-2p+3s+5q
Answer:
[tex]6p - 2q + 4r - 2p + 3s + 5q[/tex]
group the like terms together:
[tex] = (6p - 2p) + ( - 2q + 5q) + 4r + 3s[/tex]
simplify:
[tex] = { \boxed{ \boxed{4p + 3q + 4r + 3s}}}[/tex]
[tex]-3c+8=-10[/tex]
[tex] - 3c + 8 = - 10 \\ \\ - 3c = - 10 - 8 \\ \\ - 3c = - 18 \\ \\ c = - 18 + 3 \\ \\ c = - 15[/tex]
Hope it help youAnswer:
c = 6
Step-by-step explanation:
[tex] - 3c + 8 = - 10[/tex]
[tex] - 3c + 8 - 8 = - 10 - 8[/tex]
[tex] - 3c = - 10 - 8[/tex]
[tex] - (10 + 8) = - 18[/tex]
[tex]c =-18÷(-3)= 18 \div 3[/tex]
[tex]\boxed{\green{c = 6}}[/tex]
A triangle has side lengths of (7n-2p)(7n−2p) centimeters, (2n+4q)(2n+4q) centimeters, and (q-5p)(q−5p) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
Answer:
(7n-2p)(7n−2p) + (2n+4q)(2n+4q) + (q-5p)(q−5p) OR
53n² +29p² +17q² -14np +8nq -10pq
Step-by-step explanation:
The perimeter is found by adding all the side lengths.
P = (7n-2p)(7n−2p) + (2n+4q)(2n+4q) + (q-5p)(q−5p)
We know that (a+b)(a+b) = (a+b)², and (a-b)(a-b) = (a-b)²
P = (7n-2p)² + (2n+4q)² + (q-5p)²
We know that (a+b)² = a²+b²+2ab, and (a-b)² = a²+b²-2ab
P = 49n² + 4p² - 14np +4n² +16q² + 8nq +q²+25p² -10pq
Combine like terms
P = 53n² +29p² +17q² -14np +8nq -10pqIn October the amount of snowfall was 1/2feet in January the amount of snowfall was 5 3/8 feet what was the amount of snowfall in the two months combined
3. Find x and y in the figures below.
15 points
Answer:
AB=AC+CB
64=3X-4+X-2
donc:
4x=70
X=17,5
Which digit is in the ten billions place? 163,097,000,452
Answer:
The digit 6 is in the ten billions place.
It's value is 60,000,000,000
Hope it helps :)
Solve the equation.
6(x + 7) = 5(x - 7) + x
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The solution is
(Simplify your answer.)
OB. The solution is all real numbers.
O C. There is no solution.
(Answer quickly)
Answer:C
Step-by-step explanation:
6(x+7)=5(x-7)+x
⇔6x+42=5x-35+x
⇔6x-5x-x=-35-42
⇔0x=-77
A side of square B is four times the length of a side of square A. How many times greater is the area of square B than the area of square A?
Answer: 16 times
Step-by-step explanation:
if square A = x
square B = 4x
area of square A = x²
area of square B = 4x × 4x
=16x²
-5 plus triple a number is no more than sixteen
Answer:
-5 + 3n < 16
Step-by-step explanation:
Answer:
-5+3x<16
Step-by-step explanation:
What was the first inverse operation to find the answer of -4(3x -5) < 2(3x+ 4)
Answer:
First operation is Parathenses or Grouping. In this case, you need to use distrubtion to go past this operation
Step-by-step explanation:
Drive for 2hrs and 15 minutes at 56 mph how far
Step-by-step explanation:
[tex]thank \: you[/tex]
Help me pleaseeeeeeeee
8(x-6)+58=-3(2x-8)+14x
THANK YOU!!!!!!!!!!
Answer:
10 = 24
Step-by-step explanation:
[tex]8(x - 6) + 58 = - 3(2x - 8) + 14x[/tex]
[tex]8x - 48 + 58 = - 6x + 24 + 14x[/tex]
[tex]8x + 10 = 8x + 24[/tex]
[tex]10 = 24[/tex]
x €[tex] \O[/tex]
