Answers
Answer: [tex]x^{10}+10x^8y+40x^6y^2+80x^4y^3+80x^2y^4+32y^5[/tex]
Step-by-step explanation:
[tex]\mathrm{Apply\:binomial\:theorem}:\quad \left(a+b\right)^n=\sum _{i=0}^n\binom{n}{i}a^{\left(n-i\right)}b^i[/tex]
[tex]a=x^2,\:\:b=2y[/tex]
[tex]=\sum _{i=0}^5\binom{5}{i}\left(x^2\right)^{\left(5-i\right)}\left(2y\right)^i[/tex][tex]=\frac{5!}{0!\left(5-0\right)!}\left(x^2\right)^5\left(2y\right)^0+\frac{5!}{1!\left(5-1\right)!}\left(x^2\right)^4\left(2y\right)^1+\frac{5!}{2!\left(5-2\right)!}\left(x^2\right)^3\left(2y\right)^2+\frac{5!}{3!\left(5-3\right)!}\left(x^2\right)^2\left(2y\right)^3+\frac{5!}{4!\left(5-4\right)!}\left(x^2\right)^1\left(2y\right)^4+\frac{5!}{5!\left(5-5\right)!}\left(x^2\right)^0\left(2y\right)^5[/tex]
simplify all = [tex]x^{10}+10x^8y+40x^6y^2+80x^4y^3+80x^2y^4+32y^5[/tex]
Related Questions
I need help on this.
Answers
Answer:
Step-by-step explanation:
Jose is right
4. There are 10 pupils in a class. Half of them are
girls. What is the probability of selecting a girl
from the class for a trip to the zoo?
Answers
Answer:
hello :)
no quite sure but I think it is:
50/100
5) In four plays a football team gains 3 yards, loses 7 yards, loses 2 yards, and gains 15 yards. How many yards did the team gain after four plays?
Answers
Answer:
The Team gained 9 yards after 4 plays.
Step-by-step explanation:
3 - 7 - 2 + 15 = 9
What grade level is this?
Have a nice day! :-)
5x-y=12 ............................
Answers
5x−y=12 Subtract 5x from both sides of the equation.
− y = 12 − 5 x Divide each term in
− y = 12 − 5 x by - 1 and simplify
y = - 12 + 5 x
i don't know if thats what your answer was but there you go
24. There are 10 pupils in a class. Half of them are
girls. What is the probability of selecting a girl
from the class for a trip to the zoo?
Answers
what is the estimate of 66 square root
Answers
Answer:
your answer is 8.124. √66= 8.124
Find the slope and y-intercept of the line.
- 8x + 1 =y
Find the slope. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The slope of the line is (Simplify your answer. Type an integer or a fraction.)
OB. The slope of the line is undefined.
(Answer quickly)
Answers
Answer:
m=-8
Step-by-step explanation:
I solved this answer already and I got 43, but I don’t know if it’s correct so
Can someone Solve this problem and show the steps please
Answers
Answer:
= 43
Step-by-step explanation:
{7 × [tex]2^{3}[/tex] - 7} -2 ×3
Solve the brackets first
{7 × 8 - 7} -2 ×3
{56 - 7} -2 ×3
49 -2 ×3
49 -6
= 43
you are right
PEASE HELP ME 70 POINTS
Answers
Answer:
x: -2
f(x): 1.5
x: 0
f(x): 0.5
x: 3
f(x): -1
Step-by-step explanation:
Answer:
3/2, 1/2, - 1
Step-by-step explanation:
x + 2y = 1 --> this is 'f(x)'. Sub in the each x-value to the equations.
First part:
x = -2
x + 2y = 1
-2 + 2y = 1
2y = 3
y = 3/2
Second part:
x = 0
x + 2y = 1
0 + 2y = 1
2y = 1
y = 1/2
Third part:
x = 3
x + 2y = 1
3 + 2y = 1
2y = -2
y = -2/2
y = - 1
Please someone help me with this
Answers
Answer:give me brainlist
Step-by-step explanation:
Write the equation x² + 6x + y² – 8y = 19 in standard form.
Question 17 options:
1)
(x – 3)²+ (y – 4)² = √44
2)
(x + 3)² + (y + 4)² = 44
3)
(x + 3)² + (y – 4)²= 44
4)
(x + 3)² + (y – 4)² =√44
Answers
Answer:
Formula used :
x²+2xy+y² = (x+y)² x²-2xy+y² = (x-y)²[tex] →{x}^{2} + 6x + {y}^{2} - 8y = 19 \\ ({x}^{2} + 2.3.x + {3}^{2} ) +({y}^{2} - 2.4.y + {4}^{2} ) = 19 + {3}^{2} + {4}^{2} \\ {(x + 3)}^{2} + {(y - 4)}^{2} = 19 + 9 + 16 \\ \boxed{ {(x + 3)}^{2} + {(y - 4)}^{2} = 44}✓[/tex]
3) (x+3)²+(y-4)²=44 is the right answer.Answer:
option C
Step-by-step explanation:
using (X + 3)² + ( y - 4)² = 44
gives you directly x² + 6x + y² - 8y = 19
please show work 3d – 4 + d = 8d – (-12)
Answers
Answer:
d = -4
Step-by-step explanation:
3d – 4 + d = 8d – (-12)
3d - 4 + d = 8d + 12
4d - 4 = 8d + 12
(4d - 4d) - 4 = (8d - 4d) + 12
-4 = 4d + 12
-4 - 12 = 4d (+ 12 - 12)
-16 = 4d
-16/4 = 4d/4
d = -4
Answer:
d= -4
Step-by-step explanation:
3d- 4 +d = 8d + 12
4d - 4 = 8d + 12
4d = 8d + 16
-4d = 16
d= -4
Check
-12 - 4 - 4 = -32 + 12
-20 = -20
If you have $19 and spend $7, what fraction of money did you spend?
Answers
Answer:
I spent 7/19 of the money.
A rectangular cardboard has dimensions as shown. The length of the cardboard can be found by dividing its area by its width. What is the length of the cardboard in inches?
Rectangle with width labeled on the right, width equals 4 and 1 over 4 inches. Below the rectangle, it says, length equals question mark. Inside the rectangle, it says, area equals 41 and 2 over 3 square inches.
9 and 41 over 51
10 and 1 over 4
36 and 5 over 6
174 and 29 over 48
help asap
Answers
Answer:
45678
Step-by-step explanation:
A rectangular cardboard has dimensions as shown. The length of the cardboard can be found by dividing its area by its width. What is the length of the cardboard in inches?
Rectangle with width labeled on the right, width equals 4 and 1 over 4 inches. Below the rectangle, it says, length equals question mark. Inside the rectangle, it says, area equals 41 and 2 over 3 square inches.
9 and 41 over 51
10 and 1 over 4
36 and 5 over 6
174 and 29 over 48
help asap
What is the sum of 870-12.3
Answers
……
H.O.T. Problems Higher Order Thinking
11. GCSS Use Math Tools Find examples of grocery item prices in a
newspaper, on television, or on the Internet. Compare unit prices of two
different brands of the same item. Explain which item is the better buy.
Answers
Answer: you would save 26 dollars per tire if you got the special deal instead of the normal price.
Step-by-step explanation: a pair = 2 (this is what i did i dont know what you learn by but the special deal is still cheaper.)
380/2=190
216-190=26
I NEED HELP PLZ!!! Let A=[−1 2 4 0] and v=[8 6] . Which of these is equivalent to Av?
Answers
Answer:
D. (16, 16)
Step-by-step explanation:
[(-1×8)+(4×6) , (2×8)+(0×6)]
[(-8 + 24) , (16 + 0)]
= [16 , 16]
solve this equation by using the look inside method to rewrite the problem
-81 = 3(5 - 4r)
Answers
27＝－(5－4r)
27＝－5＋4r
－4r＝－5－27
－4r＝－32
r＝8
Hope my answer helped u :)
Solve d=a+c/ac for a
Answers
Answer:
a=d(ac)-c
Step-by-step explanation:
Yes (multiply ac both sides subtract C both sides gets a alone)
Answer:
[tex]d = \frac{a + c}{ac} \\ [/tex]
multiply either sides by ac :
[tex](d \times ac) = ( \frac{a + c}{ac} ) \times ac \\ \\ dac = a + c[/tex]
collect a - terms together, by subtracting a from both sides:
[tex]dac - a = (a + c) - a \\ dac - a = c[/tex]
factorise out a :
[tex]a(dc - 1) = c \\ \\ { \boxed{ \boxed{a = \frac{c}{dc - 1} }}}[/tex]
Evaluate
7w-9p when w=7 and p= -7
Answers
Answer:
Your answer is 112
Step-by-step explanation:
7×7-9×-7
49-(-63)
112
Answer:
112
Step-by-step explanation:
7w-9p
Substituting value of w and p in the equation,
=> 7(7) - 9(-7)
=> 49 - (-63)
=> 49 + 63
=> 112
find the smallest number which is exactly divisible by 12 and 16
Answers
Answer:
48 is the answer..........
12,16 (2)
6,8 (2)
3,4(2)
3,2 (2)
3,1 (3)
1,1
2*2*2*2*3 = 48
Thus, 48 is the smallest number divisible by both 12 and 16.
Please help this question is difficult
Answers
Answer:
Here is the link to the answer!
https://brainly.com/question/16853492
(30 points) help me thanks
Answers
Answer: Choice B
Shelly has 7/8 cup of lemonade. She pours 1/4 cup of lemonade in each glass. How many glasses can Shelly fill?
=============================================================
Explanation:
We can think of a similar problem involving [tex]8 \div 4[/tex] which could answer the question "if she has 8 cups and pours 4 cups per glass, then how many glasses can she fill?" (that answer being 2 glasses).
Then we replace the 8 with 7/8, and we also replace the 4 with 1/4. It's the same idea but now things have gotten a bit more complicated since we're dividing two fractions.
jim invested his savings in two investment funds. the amount he invested in fund A was $3000 less than the amount he invested in fund B. Fund A returned a 8% profit and Fund B returned a 7% profit. How much did he invest in Fund B, if the total profit from the two funds together was $960?
Answers
Answer:
$8000
Step-by-step explanation:
Let it be that investment in A is x dollars, then Jim invested in B x+3000.
x/100*8=0.08x- the profit from A, (x+3000)/100*7= 0.07x+210
0.08x+0.07x+210=960
0.15x=750
x=750/0.15= 5000
5000+3000=8000dollars- investment in B
The required amount invested in Fund A is $5000, and in Fund B is $8000.
What are simultaneous linear equations?Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.
Here,
Let the amount invested in fund A be x, and the amount invested in fund b be y.
x = y - 3000 - - - - - - - - - - -(1)
0.08x + 0.07y = 960 - - - - - - - - (2)
From the equation, 1
[y - 3000]0.08 + 0.07y = 960
y = $8000
Now,
x = 8000 - 3000
x = 5000
Thus, the required amount invested in Fund A is $5000, and in Fund B is $8000.
Learn more about simultaneous equations here:
https://brainly.com/question/16763389
#SPJ2
When rounded to the nearest tenth, which of the following values equals 9.4
Answers
Answer:
9.4 to the tenth is 9.4....
Step-by-step explanation:
To round 9.4 to the nearest tenth consider the hundredths’ value of 9.4, which is 0 and equal or more than 5. Therefore, the tenths value of 9.4 increases by 1 to 5.
9.4 rounded to the nearest tenth = 9.4
The following table contains starting numbers close to 9.4 rounded to the nearest 10th.
Answer: 9.4
(654321 ÷ 3) - 214238 x 2 = ?
When you get the answer flip the numbers upside down and try to make a word. Here's a clue "These Peal"
REAL ANSWERS PLZ
Answers
Find the product in lowest terms.
15/32⋅36/28⋅44/12
Answers
Answer:
495/224
Step-by-step explanation:
15/32⋅36/28⋅44/12
= (15/32(9/7))(44/12) [simplify 36/28]
=135/224 (44/12) [multiply]
=135/224 (11/3) [simplify 44/12]
=495/224 [cross multiply]
[answer]
Fill in the blank by choosing the most appropriate word.
Regression equations are usually used to predict values of unavailable data. If the data do not closely model a particular type of function, then that type of function is not appropriate to use in statistical regression. The more closely data fit a model, the more _______________ predicted values will be.
a.
accurate
b.
quadratic
c.
scattered
d.
variable
Answers
The correct option is (a) i.e. Regression equations are usually used to predict values of unavailable data. If the data do not closely model a particular type of function, then that type of function is not appropriate to use in statistical regression. The more closely data fit a model, the more accurate predicted values will be.
What is Regression analysis?
A collection of statistical techniques known as regression analysis is used to estimate the associations between a dependent variable and one or more independent variables. It can be used to simulate the long-term link between variables and gauge how strongly the relationships between them are related.
Although there are non-linear regression techniques for more complex data and analysis, simple linear regression and multiple linear regression are the two fundamental types of regression. While multiple linear regression employs two or more independent factors to predict the outcome, simple linear regression just uses one independent variable to explain or predict the outcome of the dependent variable Y. (while holding all others constant).
Professionals in other industries, including banking and investment, might benefit from regression. Regression can also aid in predicting sales for a business based on external factors like the weather, past sales, GDP growth, and other variables. A popular regression model in finance for valuing assets and calculating capital expenses is the capital asset pricing model (CAPM).
To learn more about Regression analysis, visit the link :
https://brainly.com/question/28178214
#SPJ1
The length of a football field should be measured in
Answers
The length of a football field should be measured in yards
Hi! I'm happy to help!
We know that a football field is separated into 100 (numbers marked on the field.) A football field is also 100 yards, so it would be reasonable to measure it in yards.
I hope this was helpful, keep learning! :D
What is the range of the graph.
Answers
Answer: [3, 5]
Step-by-step explanation:
The range is the set of y-values.
