(Polynomials)Expand: (m/2+2n)^3
Answer: m^3/8+3m^2n/2+6mn^2+8n^3 Hope that helps!
Step-by-step explanation:
1. Use cube of sum : (a+b)^3=a^3+3a^2b+3ab^2+b^3
(m/2+2n) ((m/2)^2+2×m/2×2n+(2n)^2)
2. Use division distributive property: (x/y)^a= x^a/y^a
(m/2+2n)(m^2/2^2+2×m/2×2n+(2n)^2)
3. Simplify 2^2=4
(m/2+2n)(m^2/4+2×m/2×2n+(2n)^2)
4. Use multiplication distributive property (xy)^a= x^a y^a
(m/2+2n)(m^2/4+2×m/2×2n+2^2n^2)
5. Simplify 2^2=4
(m/2+2n)(m^2/4+2×m/2×2n+4n^2)
6. Cancel 2
(m/2+2n)(m^2/4+m×2n+4n^2)
7. Regroup terms
(m/2+2n)(m^2/4+2mn+4n^2)
8. Expand by distributing sum groups
m/2(m^2/4+2mn+4n^2)+2n(m^2/4+2mn+4n^2)
9. Expand by distributing terms
m^3/8+m^2n+2mn^2+2n(m^2/4+2mn+4n^2)
10. Expand by distributing terms
m^3/8+m^2n+2mn^2+nm^2/2+4n^2m+8n^3
11. Collect like terms
m^3/8+(m^2n+m^2n/2)+(2mn^2+4mn^2)+8n^3
12. Simplify.
And your answer would be m^3/8+3m^2n/2+6mn^2+8n^3
Can you make me Brainliest please
Find the area of the nearest hundredth
Answer:
since the radius is 11 witch the radius is only half so times by 2 witch would be the diamater witch is 22 so the area would be A≈381
Step-by-step explanation:
A=14πd2=14 · π · 222 ≈ 381
i think thats it bc If the object is a circle, and you know its circumference, you would divide the circumference by pi to find the diameter of the circle. Half the diameter is the radius. Square the radius and multiply by pi to find the area of the circle.
Answer:
Step-by-step explanation:
Find the common difference of the arithmetic sequence -17, -15, -13, ..
Answer: 2
Hope this Helps!
The common difference of the given arithmetic sequence is 2.
The given arithmetic sequence is -17, -15, -13, .....
We need to find the common difference in the given arithmetic sequence.
What is the common difference in the arithmetic sequence?A common difference is a difference between consecutive numbers in an arithmetic sequence. To find it, simply subtract the first term from the second term, or the second from the third, or so on...
Now, common difference=-15-(-17)=-15+17=2
-13-(-15)=-13+15=2
Therefore, the common difference of the given arithmetic sequence is 2.
To learn more about an arithmetic sequence visit:
https://brainly.com/question/12952623.
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I don’t know the answer
Answer:
3 is the answer
Step-by-step explanation:
Mark brainliest
Someone help with this please!
Answer:
Two Real Solutions
Step-by-step explanation:
Use quadratic equation discriminant5t^2+3t-7=0
[tex]\sqrt{b^2-4ac} \\\sqrt{9-4*5*-7}\\\sqrt{149}\\discriminant>0 two real solutons[/tex]:
Since the discriminant is greater then 0, it two real solutions.
solve for x in the diagram below
Answer:
x=20
Step-by-step explanation:
3x+80+2x=180(being linear pair)
5x=180-80
x=100/5
x=20
3x=3*x =3*20 =60
2x=2*x =2*20 =40
In one weekend, 1,200 people attend a play at the theater downtown. A survey of 100 people who attended found that 45 gave the play at least 4 stars out of 5. Use the indicated method to estimate how many people in all would give the play at least 4 stars.
Answer:
540
Step-by-step explanation:
fraction of those surveyed that gave the play at least four stars = 45 / 100 = 0.45
Estimate of people who would rate the play at least four stars = 0.45 x 1200 = 540
What was his
percentage profit
A bread recipe calls for 1 teaspoon of yeast for every 2
cups of flour.
Drag the points to create the graph of the function.
Then enter the coordinates for points A and B.
The Coordinates for point A and B are as follows:
A B
1 2
2 4
3 6
What is Coordinates system?A coordinate system is a method for identifying the location of a point on the earth. Most coordinate systems use two numbers, a coordinate, to identify the location of a point.
The Coordinates for point A and B are as follows:
A B
1 2
2 4
3 6
4 8
5 10
6 12
7 14
8 16
9 18
10 20
Thus, y-coordinates are double than x-coordinates.
Learn more about Coordinate system from:
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Solve the following quadratic function
by utilizing the square root method.
y = 25x2 - 100
X = +[?]
Answer
25(x2−4)
Rewrite 4
as 22.25(x2−22)
math help quickly and pls no links lol
Samantha is constructing a door frame with base 30 inches, height 84 inches, and diagonal 91 inches. A sketch of the door frame is shown.
Answer:
The door is not in rectangle shape.
Step-by-step explanation:
Given:
Length of base = 30 inches
Height of door = 84 inches
Diagonal of door = 91 inches
Find:
The door is rectangle or not
Computation:
Using Pythagorean theorem
Hypotenuse² = Perpendicular² + Base²
So,
91² = 84² + 30²
8,281 = 7,056 + 900
8,281 ≠ 7,956
So we say that the given door angle is not 90°
So,
The door is not in rectangle shape.
Question 4 pls thanks, I will mark Brainliest
the second one.
Step-by-step explanation:
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Lydia was doing her homework. She did math for 3/5 of an hour. She did science for 2/3 of an hour, half an hour for art sketches, and 1/10 of an hour for French. and How much time did she spend on her homework? How much time would she have spent if she took 10 minutes break between each subject? Show your work.
Answer:
82 minutes
102 minutes with breaks
Step-by-step explanation:
So there are 60 minutes in an hour. 3/5 of 60 is 36. 2/3 of 60 is 40. And 1/10 of 60 is 6. So adding all those numbers up 36+40+6=82 minutes.
Now if she spent 10 minute breaks in between her assignments then she did 36+10+40+10+6=102 minutes with breaks in between Math and Art also Art and French
Please help help help help help please ASAP
Answer
~~~~~~~~~~~~
slope: 1
y intercept: 4
equation: y=x+4
What’s the answer? Down below is a image of the question
Answer:
link is virus dont search
Step-by-step explanation:
Also, I think it's #1. Hope this helps! UwU
when i post these questions just solve them for my brother will ya plz he will give thanks to who ever does it
Answer:
1/4 or 5/20
Step-by-step explanation:
You find how many numbers are above 10. Then find the frequency and add them together, that will be your numerator. The total number of tries is 200, that is your denominator.
Linda bought $87.95 worth of merchandise at an electronics store. She
returned a video game and received a refund of $27.79. Linda also had to
pay a restocking fee of $6.17 for the returned game. After returning the
video game, what was the total cost of Linda's purchase?
Answer: She paid $66.33
Step-by-step explanation:
The overall amount that you paid for the video game was 87.95. She got 27.79 back as a refund. So you subtract what she paid from her refund. 87.95-27.79 = 60.16. She also had to pay a fine for the video game. So you add the fine to the amount. 60.16+6.17 = 66.33.
Overall, she paid 66.33.
Answer:
It's $66.33
Step-by-step explanation:
87.95-27.79+6.17=66.33
↓
She first bought electronics worth of $87.95.
Returned a video game and received a refund of $27.79.
=60.16 (87.95-27.79) | You have to subtract.
Had to pay a fee of $6.17 after returning the video game.
final amount - $66.33 (60.16+6.17) | You have to add the amount she now had after she got the refund and the restocking fee she had to pay.
i need help please asap!!!!
Answer:
3.24 m²156 cm²Step-by-step explanation:
1.
Area of a parallelogram = base × height
The area of the parallelogram
= 2.7 × 1.2
= 3.24 m²
2.
Try to divide the figure into 2 rectangles and find their areas.
The area of the larger rectangle
= 6 × (20-6)
= 84 cm²
The area of the smaller rectangle
= 12 × 6
= 72 cm²
The total area of the figure
= 84 + 72
= 156 cm²
Answer:
C) 3.24m^2
C) 156 cm^2
Step-by-step explanation:
The area of a parallelogram is base * height.
The base is 2.7m, while the height is 1.2m.
2.7*1.2 = 3.24m^2.
We can envision the area of the figure to be a rectangle with another rectangle cut out of it.
The total rectangle's area is 20*12, which equals 240cm^2.
The smaller rectangle's width would be 12 - 6, which is 6. The length would be 20 - 6, which is 14. 6 * 14 = 84.
Now we just have to subtract 84. from 240, which is simple. 240-84=156.
The answer is 156cm^2.
Solve the following quadratic equation
5х2 - 10x – 21 = 39
Answer:
x=1+√13 or x=1−√13
Step-by-step explanation:
Step 1: Subtract 39 from both sides.
5x2−10x−21−39=39−39
5x2−10x−60=0
For this equation: a=5, b=-10, c=-60
5x2+−10x+−60=0
Step 2: Use quadratic formula with a=5, b=-10, c=-60.
x=
−b±√b2−4ac
2a
x=
−(−10)±√(−10)2−4(5)(−60)
2(5)
x=
10±√1300
10
x=1+√13 or x=1−√13
Answer:
Step-by-step explanation:
Rewrite this quadratic in standard form by subtracting 39 from both sides. We get:
5x^2 - 10x - 60 = 0
Reduce this by dividing all four terms by 5:
x^2 - 2x - 12 = 0
Use the quadratic equation to find the roots. The coefficients of the x terms are 1, -2, -12. Thus the discriminant is b^2 - 4ac, or:
(-2)^2 - 4(1)(-12) = -44 of which 4 is a perfect square factor and 11 is not.
Because the discriminant is negative, the given equation has two unequal, complex roots, which are:
-(-10) ± i√4√11
x = -----------------------
10
or x = 1 ± (1/5)√11
I need m<1 and m<2 so if u know pls help
Find the perimeter of the figure.
Answer:
26 meters
Step-by-step explanation: Ez. First add all the data you already have. You should end up with 19. Then, you want to find the length of the missing side. Well, we know it's 7 meters since its opposite is 7, and these lengths are in the same square. So 19+7 is 26 meters.
Answer:
[tex]26[/tex]
Step-by-step explanation:
perimeter= AB + BC + CE + DE + AD
AB= DE = 7
BC = 5
EC= 3
DE = 7
AD = 4
So, perimeter = 7+ 5+ 3+ 7+ 4
→ 12+ 10 +4
→ 24+ 4
→26
So, 26 is your answer
[tex]----------[/tex]
hope it helps..
have a great day!!
(NO LINKS OR else your be reported)
Pls help me if your good at math I’ll mark brainliest I
~couldn’t get the whole picture in:(~
A pair of parallel lines are translated.which of these could be the result?
Answer:
B
Step-by-step explanation:
Mia has
7/8 pound of bird food. She puts an equal portion into 4 bird feeders. How much bird food, in pounds, does she put into each bird feeder?
Answer:
7/32 pounds each = 0.21875
Step-by-step explanation:
7/8 divided into 4 is the same as
7/8 multiplied by 1/4 = 7/32
Consider the equation:
3+2 = 22 +30
1) Rewrite the equation by completing the square.
Your equation should look like (x + c)2 = d or (x – c)2 = d.
2) What are the solutions to the equation?
Choose 1 answer:
A
x = 1+2
B
x = -1/2
C = 12
D
2 = -1+2
Answer:
3+2 = 22 +30= 59 1/2
(x + c)2 = d or (x – c)2 = d. = (c * d)(x) = 4x^3 + 18x^2 - 10x
X=1+2
Step-by-step explanation:
sorry if wrong was every confused
50 pts , i need the correct answer, my patient is gone because so many ppl put fake answers, just give the right answer i dont have the energy to even say pls anymore.
Answer:
Hello! Sorry about your luck before although im 99% sure my answer is correct.
Answer: area is 180
Step-by-step explanation:
Ok so first starting off im going to calculate the area for each shape serperately and add them up since thats easier so as demonstrated in the picture the rectangle is 25 because i multiply by base × height and the base and height is 5 and 5 pointed in the picture so thats 25 although i didnt calculate the rest because the base and height is the same for each so we can just do 25 × 6 to get all the rectangles so 25 × 6 = 150 now we got the easy part out of the way now we should do the triangles I pointed to the base and height for that on the left the base being 5 and the height being 3 5 × 3 = 15 BUT WAIT this isn't are area for the triangles because when finding area for triangles we have to divide by 2 so... 15 ÷ 2 = 7.5 since there are 4 of those triangles I dont have to solve for the rest because i can just do 7.5 × 4 so...
7.5 × 4 = 30 now we just combine those areas together! so... 150 + 30 = 180 so 180 is our area HOPE THAT HELPS!
(13.01 LC) What is the value of the expression 7 +(16 - 7) = 3 + 8? (2 points) O 12 O 15 O 17 O 18 Question 3
Answer:
16 > 11
Step-by-step explanation:
7 + (16 - 7) = 3 + 8
7 + 9 = 3 + 8
16 = 3 + 8
16 ≠ 11
or
16 > 11
Please help!! >w< It will be really appreciated :D
Peter makes $4500 a month plus some money by commission rates. He gets 6% of everything he sells. If Peter sold $55000 worth of items this month, what did he make TOTAL for the month?
Answer:
13,666.7
Step-by-step explanation:
you have to divide 6 into 55,000 and get 9,166.7, so then you add 4,500 with 9,166.7 to get 13,666.7.
what are the steps in 3-√x-2 =0 ? (to find x)
Answer:
x=1
Step-by-step explanation:
3-√x-2 =0
-√x=2-3
√x=1
x=1²=1
Complete the square to find
the vertex of this parabola.
x^2 - 4x + y + 10 = 0
([?], [ ])
Answer: 2,-6
Step-by-step explanation:
The vertex of the parabola defined by the equation x² - 4x + y + 10 = 0 is (2, -6).
To maintain the equality of the equation, we need to add and subtract 4 within the parentheses.
3. Rewrite the equation by adding and subtracting 4 within the parentheses: x² - 4x + 4 + y = -10 + 4.
Now, we can factor the perfect square trinomial (x - 2)² and simplify the right side of the equation.
4. Factor the perfect square trinomial: (x - 2)² + y = -6.
The equation is now in the form (x - h)² + k = y, where (h, k) represents the vertex of the parabola. Therefore, the vertex of the parabola is (2, -6).
To learn more about parabolas;
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The complete question:
Complete the square to find
the vertex of this parabola.
x² - 4x + y + 10 = 0