9514 1404 393
Answer:
64k^6 -64k^5 +(80/3)k^4 -(160/27)k^3 +(20/27)k^2 -(4/81)k +1/729
Step-by-step explanation:
The row of Pascal's triangle we need for a 6th power expansion is ...
1, 6, 15, 20, 15, 6, 1
These are the coefficients of the products (a^(n-k))(b^k) in the expansion of (a+b)^n as k ranges from 0 to n.
Your expansion is ...
1(2k)^6(-1/3)^0 +6(2k)^5(-1/3)^1 +15(2k)^4(-1/3)^2 +20(2k)^3(-1/3)^3 +...
15(2k)^2(-1/3)^4 +6(2k)^1(-1/3)^5 +1(2k)^0(-1/3)^6
= 64k^6 -64k^5 +(80/3)k^4 -(160/27)k^3 +(20/27)k^2 -(4/81)k +1/729
What number must you add to the polynomial below to complete the square?
x2 + 15x
Answer:
The number [tex]\frac{225}{4}[/tex] is added to the polynomial below to complete the square.
Step-by-step explanation:
Perfect square binomial:
A perfect square binomial is given by:
[tex](a + b)^2 = a^2 + 2ab + b^2[/tex]
In this question:
We have that:
[tex]a^2 + 2ab + b^2 = x^2 + 15x + ?[/tex]
Since [tex]a = x[/tex], we have that:
[tex]2ab = 15x[/tex]
[tex]2b = 15[/tex]
[tex]b = \frac{15}{2}[/tex]
Completing the square:
The term that completes the square is [tex]b^2[/tex]. So
[tex]b^2 = (\frac{15}{2})^2 = \frac{225}{4}[/tex]
The number [tex]\frac{225}{4}[/tex] is added to the polynomial below to complete the square.
Does anyone know the answer
Answer:
d = 126, z = 28
Step-by-step explanation:
The angle with the variable is diagonal from the 105 degree angle. In this case, that means that they are equivalent. So, 105+21 = 126. d = 126 :)
3 toys cost x kobo. How many toys can be bought with #3.00?
Answer:
ok so you say I don't know for 10000000000 year's the end. :)
If f(1)=1, f(2)=4 and f(n)=3f(n-1)-f(n-2) then find the value of f(4).
Answer:
29
Step-by-step explanation:
f(3)=3f(2)-f(1)=3x4-1=11
f(4)=3f(3)-f(2)=3x11-4=29
PLSSS HELP PANICKING
The sum of Alex and John's money is $48. Alex has $3 more than twice the amount John has. How much money do they each have?
Answer:
John has $15 and Alex has $33Step-by-step explanation:
a systems of equations can be made from the information on the problem
x+y=48
x=2y+3
since x= 2y+3 substitute 2y+3 in the firat equation to get:
(2y+3)+y=48 -> 3y+3=48 -> 3y=45 -> y=15
plug in 15 for y in the second equation to solve for x
x+15 =48 --> x=33
In London today, twice the low temperature was less than three times
the low temperature minus ten. In interval form, what are the possible
temperatures?
A music store sells both electric and
acoustic guitars. One month, the store
sold 12 electric guitars. If that was 60%
of their sales for the month, how many
guitars did they sell that month in all?
Answer:
sorry :/ im not sureee but they would have sold 20
Step-by-step explanation:
They sold 20 guitars that month.
Step-by-step explanation:
[tex] \frac{12 \times 100}{60} = total[/tex]
[tex] \frac{1200}{60} = 20[/tex]
Plsss help I am falling
Answer:
that sucks
Step-by-step explanation:
srry man i got nothin
5.
Multiply.
(3x + 2)(x - 3)
Answer: 3x^2 - 7x - 6
Step-by-step explanation:
Answer:
3x^2-7x-6
Step-by-step explanation:
(3x+2)(x-3)
3x^2-9x+2x-6
3x^2-7x-6
Hope this helps.
Find the area of the shaded figure in the diagram below. Use 3.14 for π and round your answer to the nearest hundredth.
A. 39.57in^2
B. 66.89 in^2
C. 200.67 in^2
D. 118.72 in^2
Answer:
D
Step-by-step explanation:
diameter of 1 circle = 21.3/3= 7.1
radius of 1 circle= 7.1/3=3.55
area of 1 circle =πr^2=3.14× (3.55)^2=39.57
area of 3 circle= 39.57×3=118.72
therefore,area of shaded portion= area of 3 circle =118.72
Find the percent of change and state whether it was a percent of increase (I) or percent of decrease (D). from $289 to $762
Answer:
163.67 ( I )
Step-by-step explanation:
Use the shapes to answer the questions that follow:
Answer:
50%
Step-by-step explanation:
Theres 10 shapes and 5 of them are yellow. So that is 5/10 which equals 50%
hope this helps <3
Answer:
50%
Step-by-step explanation:
5/10 are yellow so 5% I think
There are six households in a rural community. Each household earns $40,000 per year. Suppose that a new resident builds a mansion in the community and that the income in the new household is $4 million per year. After the new resident arrives, the median household income has _____, and the mean household income has _____. increased; increased not changed; increased not changed; not changed increased; not changed
Answer:
Median income has not changed
Mean income has increased
Step-by-step explanation:
Initial number of houses = 6
Earning per household = $40,000
The initial mean :
$(40,000 * 6) / 6 = $40000
Initial median :
40000, 40000, 40000, 40000, 40000, 40000
= 1/2(n+1)th term,
Median = 40000
A 7th household earns 4,000,000
Mean = ((40000*6) + 4,000,000) / 7 = $605,714
Median = 1/2(n+1)th term
40000, 40000, 40000, 40000, 40000, 40000, 4000000
Median = 4th term = 40000
25) Margie needs to borrow $9,000 from a local bank. The
loan has a 8.5% interest rate for 4 years. What will
Margie's monthly payment be?
A) $ 221,850.00
B) $3060.00
C) $250.0
D) $ 221.85
Answer:
B) $3060.00
Step-by-step explanation:
8.5% of 9,000 equals 765, then 765 multiplied by 4 equals 3060.
I think that it will take Margie 4 years to pay back the bank. And the interest rate that the bank charges is 8.5% per month.
I'm not sure if this is correct
Which statement is true?
Group of answer choices
An equilateral triangle is never an acute triangle.
An isosceles triangle is sometimes a scalene triangle.
An acute triangle is always an equilateral triangle.
A equilateral triangle is always an isosceles triangle.
Answer:
An equilateral is always an isosceles triangle.
Step-by-step explanation:
Find the amount of wood trim needed to frame a circular window with a diameter of 1.75 ft. Use 3.14 for n.
Answer:
2.40 ft I believe
Step-by-step explanation:
divide diameter by two
put 3.14 time diameter divided by two and square it
5th grade math. correct answer will be marked brainliest
Answer:
5280
Step-by-step explanation:
Hope this helps!
In the map below, Side P Q is parallel to Side S T.
Triangle P Q R. Side P Q is 48 kilometers and side P R is 36 kilometers. Triangle S R T. Side R T is 81 kilometers.
What is the distance between S and T? If necessary, round to the nearest tenth.
21.3 km
60.8 km
108 km
117 km
answer C.
Answer:
C.
Step-by-step explanation:
Need help on the picture i attached
Answer:
1.) Standard form -
2.) Center (1,-3)
3.) Radius r=4
4.) Diameter d=8
5.) Circumference 25.12
6.) Area 50.24
7.) Graph
Step-by-step explanation:
PLEASE HELP
On the graph below, Point A is located at the intersection of angle θ and the unit circle.
What are the exact coordinates of point A?
Use the on-screen keyboard to type the answer in the box below.
https://imgur.com/a/UwbnsCV
Answer:
1/2,
Step-by-step explanation: Please find the attached image of unit circle.
We have been given that the measure of angle t is 60 degrees. We are asked to find the x-coordinate of the point where the terminal side intersects the unit circle.
We know that x-coordinate on unit circle represents cosine and y-coordinate represents sine of a given angle.
We can see from our attachment that x-coordinate of the point at angle 60 degrees is , therefore, x-coordinate of the angle of 60 degrees, where the terminal side intersects the unit circle is .
Candice and Joe went to Sawcon, the concert tickets for the concert Sawcon was 50 dollars each person. Plus tax they add 2.5 dollars. Since they have a discount they minus 10.5. How much are the tickets now?
Answer:
they would be $42.00
Step-by-step explanation:
50 + 2.50= 52.50
52.50-10.50=42.00
find the rule for the following geometric sequence: 4, -12, 36, -108, ....what is n7
Answer:
the rule is *-3,n7=-2916
Step-by-step explanation:
n4=108
n5=108*-3=-324
n6=-324*-3=972
n7=972*-3=-2916
Simplify to a single power of 2
Answer:
2^7
Explanation:
You can add up the square of two and the square of five. This is the easiest way.
PLEASE HELP ILL GIVE BRAINLIEST
Answer:
1 and 2 is The first one and 3 and 5 is the second one
If the scale of the map is 1 inch = 125 miles, two points that are 3.75 inches apart will actually be approximately how many miles away from each other? 292 375 469 1,125
Answer:
469 miles
Step-by-step explanation:
1 in = 125 miles
3.75 in =?
3.75 x 125 = 468.75 miles
468.75 rounds up to 469 miles
whats 2+2 UnU thats a hard one ToT
Answer:
4
MARK ME BRAINLIEST CUZ IM DA SMARTEST :))
the answer to that is 4
Find the measure of angle 3
Answer:
120
Step-by-step explanation:
Please help me. Image below.
Answer:
10 cubes
Step-by-step explanation:
2.5 × 1 × 2 = 5 cm³
5 ÷ 0.5
10 cubes
Answer:
10 cubes
Step-by-step explanation:
1 × 2 × 2.5 = 5cm^3
5 ×× .5 = 10
so 10 cubes would fit
Hello Good morning can someone give me the answer of this operation?
39 + 1 - 24 / 6=
Also can you tell me the order? :> Thanks!!
Answer:
The answer is 36
Step-by-step explanation:
Because 39+1=40
So then 40-24=16
and then divided by 6 is 36 because when you divide you multiply
Plsss help. giving extra points if correct.
Answer:
B. ACB AND ACD
Step-by-step explanation:
since you need to prove, you need to show that the figure can work on any 2 triangles… hope it helps.