Answers
Answer:
2,322,775
Step-by-step explanation:
[tex] a_1=4\\\\
a_i=a_{i-1}+11\\\\
\implies a_2=a_{2-1}+11\\a_2= a_1+11 \\a_2= 4+11 \\a_2= 15\\\\
d = a_2-a_1 \\d= 15-4 \\d= 11\\\\
S_{650}=?\\\\
\implies n = 650\\\\[/tex]
By the formula of sum of an Arithmetic Sequence
[tex] S_n= \frac{n}{2} [2a_1+(n-1)d]\\\\
S_{650}= \frac{650}{2} [2\times 4+(650-1)\times 11]\\\\
S_{650}= 325 [8+649\times 11]\\\\
S_{650}= 325 [8+7,139]\\\\
S_{650}= 325\times 7,147\\\\
\huge \red {\boxed {S_{650}=2,322,775}} [/tex]
Related Questions
A cyclist travels 10 km from home to the park.
She leaves home at 12:20 and arrives at the park at 12:50.
What is her average speed in km/h?
Answers
Answer:
20 km/h
Step-by-step explanation:
the total time is 0.5 hours as the cyclist travels for 30 minutes
the formula for speed is distance travelled divided by time taken which gives us 20 km/hr
Which of the following equations is written in factored form?
O y= 2x² + 3x – 8
o y= 3 (2 + 5) (2 – 2)
o y=-2(1 + 5)2 – 2
O y = 3.2 - 5
Need help please!!
Answers
Answer:
Option B is correct option.
Step-by-step explanation:
We need to identify equations written in factored form.
Factored form: A factored form of expression is an expression broken down into a product of its factors.
In the given options A, C and D we don't have product of factors.
Only option B consists of product of factors.
So, Option B is correct option.
Which answer choice shows 12.444 rounded to the nearest half?
A. 11
B. 11.5
C. 12
D. 12.5
Answers
Answer:
C. 12
Step-by-step explanation:
Remember 0 to 4 turn it back
5 or above give it a shove.
Since 12.444 is around 0 to 4.
We can round that to 12.
Answer:
C.12
Step-by-step explanation:
Rounding a number involves replacing the number with an approximation of the number that results in a shorter, simpler, or more explicit representation of said number based on specific rounding definitions. For example, if rounding the number 2.7 to the nearest integer, 2.7 would be rounded to 3.
For which equations is the solution for x the same number?
i. 15 - X = -3
ii. x/2 + 6 = 15
iii. -1/3x - 5.7 = 0.3
O A. i and ii
O B. i and iii
O C. ii and iii
O D. i, ii and iii
O E. none of the questions
Answers
Answer:
A. i and ii
Step-by-step explanation:
i) 15 - x = -3
x=18
ii) x/2 + 6 = 15
x/2 = 9
x= 18
iii) -1/3x -5.7 = 0.3
-1/3x = 6
x = -18
Is this function linear or nonlinear?
Answers
Answer:
nonlinear
Step-by-step explanation:
sorry if im wrong
Answer:
Linear
Have a great day! :)
HELP PLEASEEEEEEE ASP!!
WILL GIVE BRAINLIEST ❤️
Find the slope of the line passing through the given
points using the slope formula. Describe the slope as
positive, negative, zero, or undefined.
(-7, -18) and (-7,-4)
Answers
Answer:
Step-by-step explanation:
Slope formula= rise over run, or y2-y1 over x2-x1
y2=-4 y1=-18 x2=-7 x1=-7
-4-(-18)/-7-(7)
-22/-14 negative
Answer:
7/11
Step-by-step explanation:
the slope is positive. tell me what happens
Sahil has a fish tank in the shape of a cuboid, as shown in the diagram
Answers
Answer:
12
bcz he can't put a 0.725 fish so it will be rounded up back to 12
The greatest number of neon tetra fish he puts in the tank is 12.
What is cuboid?A cuboid is a solid in three dimensions with six rectangular faces, eight vertices, and twelve edges. Three dimensions, including length, breadth, and height, define a cuboid. A cuboid with integer edges is referred described as being perfect.
Given:
Sahil has a fish tank in the shape of a cuboid, as shown in the diagram.
The tank is 55 cm wide, 28 cm long and height is 33 cm.
And the surface of the water in the tank is 3 cm below the top of the tank.
That means,
to determine the volume,
So, the volume of cuboid
= 55 x 28 x 33
= 50820 cubic centimeters.
And we know 1000 cubic centimeters is 1 liter of water.
So, 50820 = 50.820
And divide by 4
We get the greatest number of neon tetra fish he puts in the tank.
50.820 / 4
= 12.705
≈ 12
Therefore, 12 is the required number for neon tetra fish.
To learn more about the cuboid;
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PLEASEEEE HELPPPPPP WIll add extra pointtss
Answers
Explanation :-
As B is midpoint of SR :- SB = BR and if. SR = 6x then SB = 3x
AC parallel SR ( MID POINT THEOREM )
Hence AC parallel SB
Similarly , AB parallel CS (MID POINT THEOREM)
So ABCS is a parallelogram
And we know that in parallelogram opposite sides are equal so AC = SB
So now we have AC = 5x - 8 and SB = 3x
So, 5x - 8 = 3x
5x - 3x = 8
2x = 8
x = 4
Find the x and y intercept of the following equation. 10x - 3y = 9
Answers
Answer:
x-intercept= ( 0.9, 0)
y-intercept= (0,-3)
Step-by-step explanation:
Graph out the equation and look for the x and y intercept.
Liberty Center Middle School has 1,200 students. In Sophia’s class, 3 out of 4 students borrowed library books. Based on these results, how many students at the school would you expect to borrow library books?
Answers
Answer:
We expect 900 students to borrow library books
Step-by-step explanation:
Proportions
If two variables are proportional, then one of them can be obtained as the other times a fixed number.
If x and y are proportional, then:
y=k.x
Where k is the constant of proportionality
The value of k can be obtained by dividing y/x.
That division, also called ratio gives us the proportion to be applied to future calculations.
In Sophia's class, 3 out of 4 students borrowed library books.
This gives us a proportion ratio of 3/4.
If we apply that same proportion to the rest of the Liberty Center Middle School, with 1,200 students, then, we expect to have
3 / 4 * 1200 = 900 students borrowing library books.
We expect 900 students to borrow library books
What is the inverse of the function f(x) = 2x - 10?
Answers
Answer:
[tex]\huge\boxed{f^{-1}(x)=\dfrac{1}{2}x+5}[/tex]
Step-by-step explanation:
[tex]f(x)=2x-10\to y=2x-10\\\\\text{exchange x to y and vice versa}\\\\x=2y-10\\\\\text{solve for}\ y\\\\2y-10=x\qquad|\text{add 10 to both sides}\\\\2y-10+10=x+10\\\\2y=x+10\qquad|\text{divide both sides by 2}\\\\\dfrac{2y}{2}=\dfrac{x}{2}+\dfrac{10}{2}\\\\y=\dfrac{1}{2}x+5[/tex]
A piece of climbing equipment at a playground is 6 feet high and extends 4 feet horizontally. A piece of climbing equipment at a gym is 10 feet high and extends 6 feet horizontally. Which statement best compares the slopes of the two pieces of equipment?
Because Five-thirds greater-than three-halves, the slope of the climbing equipment at the gym is greater.
Because Five-thirds less-than three-halves, the slope of the climbing equipment at the playground is greater.
Because Three-fifths greater-than two-thirds, the slope of the climbing equipment at the gym is greater.
Because Three-fifths less-than two-thirds, the slope of the climbing equipment at the playground is greater.
Answers
Answer:
I think its D but I'm not that sure about it.
Step-by-step explanation:
Because three fifths less than two thirds, the slope of te climbing equipment at the playground is greater.
Answer:
A)
Step-by-step explanation:
A piece of climbing equipment at a playground is 6 feet high and extends 4 feet horizontally.
Therefore its slope = length of the equipment vertically / length of equipment horizontally
= 6/4 = 3/2 = 1.5
And, A piece of climbing equipment at a gym is 10 feet high and extends 6 feet horizontally.
Therefore slope, = 10/6 = 5/3=1.67 (approx)
Since, >
Therefore, Five-thirds greater-than three-halves, the slope of the climbing equipment at the gym is greater
(I finished the quiz and got it correct, it is A.)
Charles shooting basketballs during recess he made 30 baskets and miss 10 for a total of 40 shots at this rate how many baskets would he miss if he shot a total of eight times?
Please help
Answers
Answer:he would miss three times
Step-by-step explanation:because he missed once every 3 times so which would equal 2.5 which i will round up to 3 to get my answer.
What is the equation of this graphed line?
Enter your answer in slope-intercept form in the box.
Answers
Answer:
Step-by-step explanation:
y=1/2-5x
Answer:
y = -1/3x - 5Step-by-step explanation:
Using points on the graph to get the equation
Slope intercept form:
y = mx + bFrom the graph, point (0, -5) we can see y-intercept is b = -5
An calculating the slope using two points (-6, -3) and (6, -7):
m = (-7 - (-3)) / (6 - (-6)) = -4 / 12 = -1/3So the line is:
y = -1/3x - 5Which graph displays a directly proportional relationship?
Answers
Answer:
top graph
Step-by-step explanation:
The graph of a proportional relationship is a straight line passing through the origin.
The only straight line graph passing through the origin is the top one
The graph on option A displays a proportional relationship.
Option A is the correct answer.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The equation of the line on the graph is given as:
y = mx + c ____(1)
The graph on option A.
If the equation of a line is y = mx and the slope is a unit rate the graph shows proportional relationships.
We will select two points on the graph.
i.e
(2, 2) = (a, b) and (3.3) = (c, d)
Slope:
m = (d - b) / (c - a) = 3 - 2 / 3 - 2 = 1 / 1 = 1
Let (2, 2) = (x, y) and putting in (1) we get,
2 = 1 x 2 + c
2 = 2 + c
c = 2 - 2 = 0
c = 0
The slope of the line is 1
The equation of the line is y = x
Thus,
The graph displays a proportional relationship.
Option A is the correct answer.
Learn more about equation of a line here:
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Hi... can you tell me is this formula is right or wrong??
Answers
Answer:
this formula is right
HELP PLEASE
in order!!!
Answers
Answer:
m<6=54 m<4=126
Step-by-step explanation:
Find two consecutive integers whose sum is 73. Which of the following equations could be used to solve the problem?
A. 2x = 73
B. 2 x + 2 = 73
C. x^2 + 1= 73
D. 2x + 1 = 73
Answers
Graph the linear equation x=4.
Answers
A linear equation has only more than one additional, that may be expressed as [tex]\bold{ax + by = c}[/tex], and the further discussion can be defined as follows:
In this, No factor has been raised the power which is greater than one or utilized as the denominator of a fraction. When we discover pairs of values that satisfy a linear model and plot them on a coordinate grid, all the points fall on the same line.Please find the attached file of the graph.
Learn more:
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5) y=-2
4x – 3y = 18
This
Answers
Answer:
x=3
Step-by-step explanation:
if y is -2, 3*-2 =-6, 4x-(-6) = 4x+6=18
18-6=12
12/4=3
x=3 I hope you learned something
rt - 2n = y solve for t
Answers
Answer:
[tex]t=\frac{y+2n}{r}[/tex]
General Formulas and Concepts:
Pre-Alg
Equality PropertiesStep-by-step explanation:
Step 1: Define equation
rt - 2n = y
Step 2: Solve for t
Add 2n to both sides: rt = y + 2nDivide both sides by r: t = (y + 2n)/r13) Find the value for x and y.
Someone help me please thanks
Answers
Answer:
x=14 y=37
Step-by-step explanation:
I WILL GIVE YOU BRAINLIEST!!!!!!
Which of the following is equivalent to –(–5.25)?
–5
5
5.25
–5.25
Answers
Step-by-step explanation:
The decimal number 5.25 is equal to the fraction 21/4.
if you use synthetic division for this polynomial: 3x^5-12x^4+12x^3+30x^2-39x-42. What would the answer be?
Answers
Answer : x^5 - 4x^4 +4x^3 + 10x^2 - 13x - 14
Explanation :
(3x^5-12x^4+12x^3+30x^2-39x-42)/3 = x^5 - 4x^4 +4x^3 + 10x^2 - 13x - 14
HURRY PLEASE HELP ME!!!This graph shows a bicyclist moving at a constant rate. Write and equation for bicycle rider A.
Answers
Answer:
y= 30x
tep-by-step explanation:
What is the Zero of f ?
Answers
Answer:
(-1, 0)
Step-by-step explanation:
-2 (-3x + 3) + 2x = 58
Answers
Answer:
x = 8
Step-by-step explanation:
Given
- 2(- 3x + 3) + 2x = 58 ← distribute and simplify left side
6x - 6 + 2x = 58
8x - 6 = 58 ( add 6 to both sides )
8x = 64 ( divide both sides by 8 )
x = 8
qual é 33⅓% de 108?
Answers
= 36 (esta é a resposta final, eu não sei se você realmente precisa dela)
You are purchasing a book that cost $22.00. The sales tax is 8%. What is the total amount of your purchase?
A. $0.18
B. $1.76
C. $23.76
D. $17.60
Answers
Answer:
C
Step-by-step explanation:
22.00*0.08=1.76
22.00+1.76 = 23.76
Answer:
c
Step-by-step explanation:
22*0.08=1.76
the total would be the cost plus tax
22+1.76=23.76
hope this helps :3
i want to purchase a necklace for 325$ . ive already saved 115.00 and can set aside 22.00$ a week . which inequality can be used to find the number of weeks it will take to save at least 325.00$?
Answers
Answer:
22w + 115 = 325 w = about 10 weeks
Step-by-step explanation:
The first part of this inequaltiy is 22w. Since he/she will set aside $22 a week, you would put a variable because the number of weeks you will need to set aside $22 is unknown therefore you put a variable that makes sense. I put w because you can say that w=weeks. The next part of the inequality is adding $115 because he/she has already saved $115 so we add that to 22w. Finally 22w+115 has to equal $325 because that is how much the necklace costs. Hope this helps!