which expressions are equal to 50Σn(n+6)?
Answers
Answer:
S(n)=(25/3)n(n+1)(2n+19)
Step-by-step explanation:
sum_(n=1)^k n (6 + n) = 1/6 k (k + 1) (2 k + 19)
[tex]sum_(n=1)^k n (6 + n) = (1/6) k (k + 1) (2 k + 19)\\50(1/6) k (k + 1) (2 k + 19)\\=(25/3)k (k + 1) (2 k + 19)[/tex]
This is the equation in general:
substitute n for sum from 1 to n
For sum from k to n, substitute:
S(n)-S(k-1)
Answer:
Part 1: B and D
Part 2: C
Part 3: 50575
Step-by-step explanation:
Related Questions
What is 2x+5=25? I would like to know it step by step please.
Answers
Step-by-step explanation:
subtract 5 from 25 and it should look like this
2x=20
divide 2 and your is 10
Answer:
No problem! Well first off, x is 10.
Step-by-step explanation:
So you know that 2 times a certain number, plus 5, is 25. The first step to solving this problem is subtracting 5 from the total (25) to give you 20. This just makes it easier to find x, so you technically don't have to do it. So now, you know that 2 times a certain number equals 20 (because we got rid of the 5). Now, just divide your number (20) by 2, to get that x is 10. Let's check our answer.
2(10) + 5= 2520 + 5= 25
25= 25.
Works out!
Please like and mark brainliest!
Hope it helps!
If the black square rotates at a rate of 2 inches per second, how long would it take for one full rotation?
Answers
Answer:
The answer is below
Step-by-step explanation:
The question is not complete.
Let us assume that the black square rotates in a circular part of radius 1 inch.
Therefore, in one full rotation the distance covered (θ) is the same as the perimeter of the circular part. Therefore:
θ = 2πr = 2π(1) = 6.28 inch
The time taken to complete one full rotation (t) is:
t = θ / v
t = 6.28 / 2
t = 3.14 seconds
How many faces does a solid with 12 vertices and 18 edges have?
28, 18, 6, or 8?
Answers
Answer:
8 faces
Step-by-step explanation:
In geometry, the hexagonal prism is a prism with a hexagonal base. This polyhedron has 8 faces, 18 edges, and 12 vertices.
Hope this helps!
A population of amoebas is measured at 14,000 and grow at a rate of 11% per hour. How many amoebas are expected in one day?
Answers
Answer:
Calculating Growth Rates. The annual percentage growth rate is simply the percent growth divided by N, the number of years. ... The population of Lane County grew 12 percent between 1980 and 1990 or at an rate of 1.2 percent annually.
Step-by-step explanation:
Landon, Wes, and Tim attempted 25 basketball shots each.HELP ASAP
• Landon made 36/100 of his shots.
• Wes made 2/5 of his shots.
• Tim made 32% of his shots.
Which statement it true
Wes made the most shots.
Landon made more shots than Wes.
Tim made more shots than Landon.
Landon, Wes, and Tim made the same number of shots.
Answers
Explanation.
Landon made 9 shots
Wes made 10 shots
Tim made 8 shots.
HAVE A GUD DAY
Answer: Wes made more shots
Step-by-step explanation:
What is the value of y in the equation y = 3 x − 2 , y = 3 x − 2 , given that x = 5 ?
Answers
Answer:
13 (Answer B)
Step-by-step explanation:
In Sam’s pet corner, there are puppies and parrots. They have the total of 15 heads and 50 feet. How many parrots and how many puppies are there?
Answers
Answer:
10 puppies, 5 parrots.
Step-by-step explanation:
Puppies have twice the ammount feet, so it will be double the amount of parrots. 10 twice the amount of 5, so their would be 10 puppies, 5 parrots
Evaluate the following linear expression. -4(x-6)-30
A.
-4x-6
B.
-4x+6
C.
-4x+54
D.
-4x-3
Answers
Answer:-4x-6
Step-by-step explanation:
Answer:
A.
Step-by-step explanation:
Multiply -4 to x and -6. After that you get -4x + 24 - 30. Then, subtract 24 by 60, to get -6. You should be left with -4x - 6.
What is the solution y=5(x/10-2)
Answers
Answer:
you weren't clear if we have to solve for x or y so I did both of them. hope this helps!
Step-by-step explanation:
A box contains 2 plain pencil and 2 pens A box contains 3 color pencils and crayons . One item from each box is chosen random What is the probability that a plain pencil from the first box and a color pencil from the second box are selected ? write your answer as a fraction in simplest form
Answers
make a probability tree it will really help so much
Help me please!!
I’ll give brainliest♡
SOLVE FOR THE LETTER!!
Answers
Step-by-step explanation:
p/8=13/2
p/8=52/8
p=52
3/13=v/3
9/39=13v/3
v=9/13
Grace earns $7 for each car she washes. She always saves $21 of her weekly earnings. This week, she
wants to have at least $66 in spending money. How many cars must she wash?
Answers
Answer: 13
Step-by-step explanation:
[tex]66\geq 7x-21[/tex]
add 21 both sides
[tex]87\geq 7x[/tex]
divide both sides by 7
[tex]12.4\geq x[/tex]
So more than 13 cars
Model With Mathematics A photographer is
placing photos in a mat for a gallery show.
Each mat she uses is x in, wide on each side.
The total area of each photo and mat is
shown
Answers
Answer:
a. The possible dimensions of the total area are;
The width of the total area is (2·x + 8) inches
The length of the total area is (2·x + 10) inches
b. The dimensions of the photos are as follows;
The length of the photos are 10 inches
The width of the photos are 8 inches
Step-by-step explanation:
a. Given that the area, A = 4·x² + 36·x + 80
We get;
A = 4 × (x² + 9·x + 20) = 4 × (x + 4) × (x + 5) = (2·x + 8)·(2·x + 10)
Therefore, the possible dimensions of the total area (photo + mat) are;
The width of the total area (photo + mat) = (2·x + 8) in.
The length of the total area (photo + mat) = (2·x + 10) in.
b. The dimensions of the photos alone are shorter than the dimensions of the photo and mat combined by 2·x each
Therefore, we have the dimensions of the photos are as follows;
The length of the photo = (2·x + 10) in. - 2·x in. = 10 in.
The width of the photos = (2·x + 8) in. - 2·x in. = 8 in.
math please help <<--- aaaa
Answers
Answer:
Step-by-step explanation:
[tex]H(t) = 14000(0.8)^{t +3}\\\\ = 14000*(0.8)^{t}*(0.8)^{3}\\\\=14000*(0.8)^{t}*0.512\\\\=7168(0.8)^{t}[/tex]
Answer:
it is 7168(0.8)t
Step-by-step explanation:
hope this helped
Is (1,7) a solution to the inequality y < 3x + 3?
Answers
Answer:
yes
Step-by-step explanation:
because 7 is equal to 3 so the answer is correct
Macy’s is having a one-day 35% off special. If Sarah bought an item for $124, how much was the discount?
Answers
Answer: Mark me Brainliest :)
$80.92
Step-by-step explanation:
Given:
discount : 35%
Original cost : $124.50
Discount:
$124.50 x 35% = 43.575 ⇒ $43.58
Discounted price
$124.50 - 43.58 = $80.92
Answer:
$80.93
Step-by-step explanation:
Can you people please help me with some more math that I can't understand?
Please see the following image below:
Answers
Answer:
He would collect 28 cans
Step-by-step explanation:
Ethan = 1/3
84 * 1/3 = 28
Answer:
28 cans were collected by Ethan
Step-by-step explanation:
It says that the total amount of cans collected was 84 cans. Of the 84 total cans, Ethan collected 1/3 of them. To find the number of cans Ethan collected, you would multiply 84 • 1/3. (You could also divide 84 by 3 in this case)
84 • 1/3 = 28
Which of the following values are zeros for the function below? Select all that apply.
g(x) = (x² + 4x - 12)(x - 3)
-6
03
-2
0 0
2
3
06
Answers
I really need help!!!
Answers
Answer:
which no. buddy??.........
Answer:
(1)...C-1
2-A...(2)
3-B...(3)
(4)....7x-6=0
(5)...7+4x
(6)...5x-10
(7)...5x= -5
x= -1
(8)....-3x= -9
x=3
(9)....x=2
(10...559100t+6423000=11000000
t=4577000/559100=8.18
Since 2005, the amount of money spent at restaurants in a certain country has increased at a rate of 5% each year. In 2005, about $290 billion was spent at restaurants. If the trend continues, about how much will be spent at restaurants in 2020? PLEASE HELP ME
Answers
Answer:
About $603
Step-by-step explanation:
Given data
The time interval 2005-2020= 15 years
The principal amount spent= $290 billion
The rate= 5%
Let us apply the compound interest formula
A=P(1+r)^t
substitute
A=290(1+0.05)^15
A= 290(1.05)^15
A= 290*2.0789
A= $602.881
Hence about $603 will be spent in 2020
CHECK MY ANSWER PLSS
Answers
Answer:
The third and fifth option are correct too.
is 1,250 More than or less than 1.25
Answers
(-8) + 2 + (-11) - (-9) + (6) cuanto es plis?
Answers
Answer:
=−2
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
if there are these () around a negative number then it makes it even.
classify as a acute, right, obtuse or not a triangle : 9in, 40in, 44in
Answers
Answer:
Acute.
Step-by-step explanation:
your welcome:)))))))
What is the perimeter of the larger triangles
Answers
ABC is dilated using a scale factor of 2.5. Which property does not change?
A. side lengths
B.angle measures
C.area
D.perimeter
Answers
Guys , pls help me with this.....pls pls , if u did i'll add u as brainliest and give u the highest rate so pls anyone help me this questions pls pls
Answers
47. 116-(-79)=195
48. 25×100/20=125
49. 14
50. r= 176/2π=28
51. 12x²+4xy-4y²
52 9×25=225
Step-by-step explanation:
1.166-79
2. 20÷100×25
3.2-1÷7
4.176÷2
Give the most descriptive name for
Answers
Answer:
trapezium................
I need help please
Answers
Answer:
distance = 10.6
Step-by-step explanation:
A's coords are (5, 6)
D's coords are (-2, -2)
So the total horizontal distance between A and D is:
5 + 2 = 7
...and the total vertical distance is:
6 + 2 = 8
Now use Pythagorean Theorem:
7^2 + 8^2 = distance^2
distance^2 = 49 + 64 = 113
distance = squareroot of 113
distance = 10.6
Answer:
Thing that I do is email the teacher and he or she will give me the answers try it yourself ok
Step-by-step explanation:
anyone English here???