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
Find the measure of angle 3
Answer:
120
Step-by-step explanation:
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
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
whats 2+2 UnU thats a hard one ToT
Answer:
4
MARK ME BRAINLIEST CUZ IM DA SMARTEST :))
the answer to that is 4
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:
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]
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
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
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?
PLEASE HELP ILL GIVE BRAINLIEST
Answer:
1 and 2 is The first one and 3 and 5 is the second one
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
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
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. :)
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 .
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.
5th grade math. correct answer will be marked brainliest
Answer:
5280
Step-by-step explanation:
Hope this helps!
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.
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
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.
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.
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 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:
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 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
Plsss help I am falling
Answer:
that sucks
Step-by-step explanation:
srry man i got nothin
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
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 :)
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