Answers
Answer:
n(n+1)(n+5)/3
Step-by-step explanation:
there is no value, as we don't know n.
but we can create a summary formula/ function definition :
this is the sum for k = 1 to n of k×(k+3)
k×(k+3) = k² + 3k
so, the overall sum splits into the sum of k² for k=1 to n, and the sum of 3k for k=1 to n.
and the sum of 3k is 3 times the sum of k for k=1 to n.
Σk² for k=1 to n = [n(n+1)(2n+1)]/6
Σk for k=1 to n = n(n+1)/2
3×Σk for k=1 to n = 3×n(n+1)/2
so, we have a function formula
n(n+1)(2n+1)/6 + 3n(n+1)/2 = n(n+1)(2n+1)/6 + 9n(n+1)/6 =
= n(n+1)(2n+1+9)/6 = n(n+1)(2n+10)/6 = n(n+1)(n+5)/3
Related Questions
If i get 3486.25 points out of 4175 total amount of points, what would be my grade
Answers
The answer would be about 85.5%
Answer:
It would be B
Step-by-step explanation:
if you divide 3486.25 divided by 4175 it will equal 0.83 which equal 83% it can be ethier a B or a B-
Mark as braainllest if it helps!!!
Which expression is equivalent to
(X^1/4 y^16)^1/2?
Answers
Answer:
[tex]x^{\frac{1}{8} } y^{8}[/tex]
Step-by-step explanation:
Given :
[tex](x^\frac{1}{4} y^{16} )^{1/2}[/tex]
Now,
[tex](x^\frac{1}{4} y^{16} )^{1/2}\\x^{\frac{1}{8} } y^{8}[/tex]
Therefore, expression is equivalent to [tex]x^{\frac{1}{8} } y^{8}[/tex]
enjoy points cuz I lost my Crown :(
Answers
Answer:
You know what :)
Step-by-step explanation:
I feel bad so if you ever need help you can ask me! :)
Answer:
hi yaar, mai hu indian
nice too meet you
my name Ankit kumar
any doubt
(4x^2+3x −5)+(x^2 −7x+10)
Answers
Answer:
[tex]5x^{2} -4x +5[/tex]
Step-by-step explanation:
PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
24 sq. m
Step-by-step explanation:
Area of the grass part = area of the park - area of sand area
Park:
l = 6 m ; w = 5 m
Area of park = l * w = 6*5 = 30 sq.m
Sand :
l = 3 m ; w = 2 m
Area of sand part = 3*2 = 6 sq.m
Area of grass part = 30 - 6 = 24 sq.m
Answer:
24 square meters is the area of the grass part.
Step-by-step explanation:
Multiply both sides of the "sand" section, which are 2 and 3. You get 6.
Now multiply two numbers, 5 and 6, to find the square meters of the whole area, including grass and sand, you get 30.
Now since you only need the area of the grass area, you subtract the area of the sand area, which is 6 sq meters, from the whole area, 30 sq meters, leaving you with 24 square meters as the answer.
Ramos spends $36.00 on a t-shirt and spends $20.00 on a hot dog.
Daniels spends $50.00 on shoes. Ramos has a bank account with a balance
of $100. How much will the purchase cost him? What would Ramos’ bank
balance be after all the debts were paid?
Answers
Answer:
$-6
Step-by-step explanation:
Spend
$36 on t-shirt
$20 hot dog
$50 shoes
Ramos money- $100
$36+$20+$50=$106
$100-$106=$-6
***Don't forget units***
Hope this was useful :)
Answer the questions please and no links
Answers
Answer:
3. would be one above the negative 5
4. 3 up from positive 4
5. would be on the negative 2
write the letters on those points respectively.
(please help) What are the coordinates of the point on the directed line segment from (-10, -5) to (5, 1) that partitions into ratio of 1 to 2?
Answers
Answer:
P(-5,-3)
Step-by-step explanation:
directed line segment AB where
A(-10,-5) and B(5,1)
Vector of segment AB = B-A = <15,6>
Add one third of the vector length to A to get the partition point, P
A(-10,-5) + <15,6>/3 =A(-10,-5)+<5,2> = P(-5,-3)
can u help me part 3..
Answers
This one was a bit tricky for me, So I am 90% sure ;)
Answer: 336pi in^2
Explanation: The explanation is quite long, so I won't go into much detail :) Just keep the formula in mind!! :>
If available please give me a Branliest. It would be much appreciated.
- Mathhotdog •~•
Need help ASAP thanks
Answers
Answer:
B 15 has to be the answer i think but ion fully know
Answer:
b 15%
Step-by-step explanation:
The newspaper in Haventown had a circulation of 80,000 papers in the year 2000. In 2010, the circulation was 50,000. With x=0 representing the year 2000, the graph below models this scenario.
A coordinate plane showing Newspaper Circulation, Years Since 2000 on the x-axis and Circulation on the y-axis. A line starting at (0, 80,000), passing through a point at (10, 50,000) and ending at (18, 25,000).
What number will complete the point-slope equation that models this scenario?
y−50,000=[_______](x−10)
−3,000
−2,000
2,000
3,000
Answers
Answer:
-3,000
Step-by-step explanation:
got it correct on edg
Answer:
-3000
Step-by-step explanation:
Right on edge 2021
I need help please
Damian invested $12,000 in an account paying an interest rate of 5 1/4% compounded daily. Lillian invested $12,000 in an account paying an interest rate of 5 3/8% compounded annually. After 12 years, how much more money would Damian have in his account than Lillian, to the nearest dollar?
The one that are 1/4 and 3/8 see them as fraction just so y’all know
Answers
Answer:
I believe the answer is 275,862,600, but I haven't done this in forever so I'd wait for someone to double check it.
Solve the system of equations by substitution. Simplify your answer. Write the
solution as an ordered pair.
y= 3x - 13
3x + 2y = 19
Answers
Answer:
x = 5 y = 2
Step-by-step explanation:
3x + 2(3x - 13) = 19
3x + 6x - 26 = 19
9x = 45
x = 5
y = 3(5) - 13
y = 15 - 13
y = 2
I need help finding the solution
Answers
Answer:
170°
Step-by-step explanation:
The total degrees of a circle is 360°. So the math is pretty straight forward.
130 + 60 = 190 (First you find what the known degrees are together)
360 - 190 = 170 (Next you take that added total and subtract it from 360)
x = 170 (And there you go! Your answer!)
I hope this helped :)
Whats the surface area of a cube whose volume is 1664??
Answers
Answer:
A≈842.53
:))))
Volume = side³
=> 1664 = side³
=> ³√1664 = side
=> 4 (³√26) = side
=> 4 (26^1/3) = side
Surface area = 6 side²
=> Surface area = 6 × [4 (26^1/3)]²
=> Surface area = 6 × 140.42 [approximately]
=> Surface area = 842.54 [approximately]
Help find value of X please!
Answers
=========================================================
Explanation:
The mixed number 7 & 1/4 converts to the decimal form 7.25, since 1/4 = 0.25
The ratio 1:7.25 means that we'll multiply the smaller triangle's sides by the scale factor 7.25 to get the larger corresponding side
Meaning that the value of x is 3*7.25 = 21.75
This converts to the mixed number 21 & 3/4
Answer:
D
Step-by-step explanation:
help with question please
Answers
Answer:
i dont know
Step-by-step explanation:
helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answers
Answer:
the answer to the question is d (8,85)
Answer: D since the equation would be y=10x
Step-by-step explanation:
Please help i'm struggling with this!It's urgent!
Answers
Answer:
m=1/2
Step-by-step explanation:
coordinatr points are:
(6,4) = (x1,y1)
(8,5) = (x2,y2)
slope(m) = y2-y1/x2-x1
=5-4/8-6
=1/2
The numbers below represent side lengths of various triangles. Which of the triangles are right triangle?
1. 5, 6, 9 A. Right triangle
2. 9, 11, 13 B. Not a right triangle
3. 20, 21, 29
4. 7, 24, 25
5. 9, 40, 41
Answers
Answer:
Step-by-step explanation:
Number 5
The midpoint of segment AB is (6,5). The coordinates of point A are (7,10). Find the coordinates of point B.
Answer options: (5,10) (8,15) (-3,7)
Answers
Step-by-step explanation:
none of the options is correct
the answer is (5,0)
Answer:
option 2 : ( 8 , 15 )
Step-by-step explanation:
A ( 6 , 5 )
Mid point ( 7, 10)
B ( x , y )
x coordinate of B
[tex]Mid point = \frac{6 + x }{2}\\\\7 = \frac{6 +x }{2}\\\\7 \times 2 = 6+x\\\\14 - 6= x\\\\8 = x[/tex]
y coordinate of B
[tex]midpoint = \frac{y +5 }{2}\\\\10 = \frac{y +5 }{2}\\\\10 \times 2 = y + 5\\\\20 - 5 = y \\\\15 = y[/tex]
B = ( 8 , 15)
Which of the following is the value of a when the function f(x)=3|xl is written in the standard form of an absolute value
function?
Answers
Answer:
D = 3
Step-by-step explanation:
edge 2022
De 1.620 trabajadores de una empresa textil 7/9 trabajan en confeccion y el resto en tareas administrativas. ¿cuantos trabajadores trabajan en confeccion?
Answers
Answer:
The number of employees work in clothing is 1260.
Step-by-step explanation:
Out of 1,620 workers in a 7/9 textile company work in clothing and the rest in administrative tasks. How many workers work in clothing?
Total workers = 1620
employees works for clothing = 7/9
So, the number of employees = 7/9 x 1620 = 1260
Usando la informacion dada, veremos que el número de trabajadores que trabajan en confección es 1,260.
Sabemos que hay un total de 1,620 trabajadores en la empesa textil.
7/9 de ellos trabajan en confección.
Queremos ver el número de trabajadores que trabaja en confección, para ello, simplemente debemos multiplicar la fracción del número total que trabaja en confección por el número total, es decir:
N = (7/9)*1,620 = 1,260
1,260 trabajadores trabajan en confección.
sí quieres aprender más, puedes leer:
https://brainly.com/question/12668006
UERGENT!!!!!!
Find the values of x and y
Answers
5x - 17 = 48
5x − 17 + 17 = 48 + 17
5x = 65
x = 13
180 - 48 = 132
y = 132
Multiply the following using the vertical multiplication method 3x2 - 5x +1 XX + 2x + 4 O A. 3x4 + x2 +10x7 - 18x + 4 O B. 3x4 +x+3x2 - 18x + 4 O C. 3x4 + x + 10x2 + x + 4 O D. 3x4 D. 3x4 - x2 + 3x2 + 18x + 4
Answers
Answer:
ANSWER
C.
3 {x}^{4} - {x}^{3} + 3{x}^{2} + 18x + 43x
4
−x
3
+3x
2
+18x+4
EXPLANATION
We want to multiply;
(3 {x}^{2} + 5x + 1)( {x}^{2} - 2x + 4)(3x
2
+5x+1)(x
2
−2x+4)
We use the distributive property to obtain:
3 {x}^{2} ( {x}^{2} - 2x + 4) + 5x( {x}^{2} - 2x + 4) + 1( {x}^{2} - 2x + 4)3x
2
(x
2
−2x+4)+5x(x
2
−2x+4)+1(x
2
−2x+4)
We expand to get:
3 {x}^{4} - 6 {x}^{3} + 12 {x}^{2} + 5 {x}^{3} - 10 {x}^{2} + 20x + {x}^{2} - 2x + 43x
4
−6x
3
+12x
2
+5x
3
−10x
2
+20x+x
2
−2x+4
Regroup similar terms:
3 {x}^{4} - 6 {x}^{3} + 5 {x}^{3} + 12 {x}^{2} - 10 {x}^{2} + {x}^{2} + 20x - 2x + 43x
4
−6x
3
+5x
3
+12x
2
−10x
2
+x
2
+20x−2x+4
Combine similar terms:
3 {x}^{4} - {x}^{3} + 3{x}^{2} + 18x + 43x
4
−x
3
+3x
2
+18x+4
The correct choice is C.
help me please
The following box plot represents the average heights of the students in Mr. Taylor's fourth grade math class.
What is the median of this data set and what is the interquartile range of this data set?
Answers
Step-by-step explanation:
the median = 140
the interquartile range = 141-138 = 3
Answer: The other guy is correct. You guys should give him 5 stars and Mark him brainliest.
In a two-digit number, the units digit is twice the tens digit. If the number is doubled
it will be 9 more than the number reversed. Find the number.
Answers
T=Tens
U=Unit
From the question... The Unit digit is twice the Tens digit
Let the Number be xy
Meaning
y is the unit number
x is the tenth Number
Can be inferred for the question that
y=2x ...........(i)
Also
If the Number is doubled x2(times 2)
"It'll be 9more than the reversed"
Now listen
if you want to express a 2digit Number...
Let's say 45...
It can be expressed as 10x4 + 5 = 45
or
66 can be expressed as 10x6 + 6 = 66
So
It'd be better if we express this our unknown number like that too
So
Let's express "xy" like "10x + y"
Hope you grab?
Now from the second statement of the question..
If The Number is doubled...It'll be 9 more than the reversed
What is the reverse of that Number??
The reverse would be "10y + x"
You can see that x and y switched places.
so
The statement said...
2(10x + y) + 9 = 10y + x (reversed)
20x + 2y + 9 =10y + x ........(ii)
Recall from our first eqn
y=2x
Now substitute y=2x into eqn ii
20x + 2(2x) + 9 = 10(2x) + x
20x + 4x +9 = 20x + x
20x - 20x + 4x - x = -9
3x = -9
x=-3
y=2x
y=2(-3)
y=-6
So The Number is 10x + y
= 10(-3) + (-6)
=-30-6
=-36
This answer obeyed the first part of the question because the unit is twice digit(2x3)
Let's check if it obeyed the second part
2[(10(-3) + (-6)] + 9 = 10(-6) + (-3)
2(-30-6) + 9 = -60-3
-63=-63
The 2nd part is also true.
So
Our Number is -36.
I'm Open to corrections if you spot any.
What are the coordinates of the point on the directed line segment from (1,−6) to (8,8) that partitions the segment into a ratio of 4 to 3?
Answers
The coordinate of the point on the directed line segment that partitions the segment into a ratio of 4 to 3 is (29/7,50/7)
How to determine the coordinate at the partition?The given parameters are:
A = (-1,6)
B = (8,8)
Ratio, m : n = 4 : 3
The coordinate at the partition is calculated using:
[tex](x,y) = \frac{1}{m + n} * (mx_2 + nx_1,my_2 + ny_1)[/tex]
So, we have:
[tex](x,y) = \frac{1}{4 + 3} * (4 * 8 + 3 * -1,4 *8 + 3 * 6)[/tex]
Evaluate
[tex](x,y) = \frac{1}{7} * (29,50)[/tex]
Evaluate the product
(x,y) = (29/7,50/7)
Hence, the coordinate of the point is (29/7,50/7)
Read more about line partition at:
https://brainly.com/question/12959377
#SPJ1
A polygon with 6 sides is shown. No angles go inside of the shape.
What type of polygon is shown?
convex heptagon
concave heptagon
concave hexagon
convex hexagon
Answers
Answer:
d. convex hexagon
Step-by-step explanation:
i got a 100 edge 2021
The type of Polygon shown as given in the question with its' shape is called; Convex Hexagon
How to define Polygons?We are told that the polygon has 6 sides and that no angle goes inside the shape.
Now, a polygon with 6 sides is called a hexagon. However, in this case the name will be a convex hexagon because it will have a hexagonal shape with no interior angle greater than 180°.
Despite that said, regular hexagons will always be called convex hexagon while Irregular hexagons can also be called convex hexagons.
Read more about Polygons at; https://brainly.com/question/1592456
#SPJ2
Erin's jewelry box is in the shape of a rectangular prism. The measurements of the jewelry box are length 5 in, width 10 in, and height 3 in. What is the surface area of Erin's jewelry box?
Answers
Answer:
190 square inches
Step-by-step explanation:
Surface area of a rectangular prism formula is given as
2(LW + LH + WH)
Where
L = Length = 5in
H = Height = 3in
W = Width = 10in
Hence:
Surface area = 2(5 × 10 + 5 × 3 + 3 × 10) square inches
= 2 × (50 + 15 + 30) square inches
= 2 × (95) square inches
= 190 square inches
Therefore, the surface area of Erin's jewelry box is 190 square inches
