The 13th term of the given arithmetic sequence is estimated as a = 67x - 64.
What is meant by sequence to be arithmetic?In Arithmetic Progression, the difference between the two arithmetic orders is a constant value (AP). Arithmetic Sequence is another name for it.
We'd get to a few specific terms in AP, that were denoted as:
The first term (a)Common difference (d)Term nth (an)The total of first n terms (Sn)The AP may also be defined using common distinctions, as shown below.
The following is the formula for determining an AP's n-th term: an = a + (n − 1) × dThe arithmetic progression sum is as follows: Sn = n/2[2a + (n − 1) × d].Common difference 'd' of an AP: d = a2 - a1 = a3 - a2 = a4 - a3 = ...... = an - an-1.Now, for the given question;
Consider the first term is 'a₁' = -5x+8
Consider the second term as 'a₂' = x+2
Then, the common difference is calculated as;
d = a₂ - a₁
d = x+2 -(-5x+8)
d = x+2 + 5x - 8
d = 6x - 6
Now, find the 13th term using the formula of nth term;
an = a + (n − 1) × d
a₁₃ = a₁ + (13 - 1) × d
Substituting the values;
a₁₃ = -5x + 3 + (13 - 1) × (6x - 6)
a₁₃ = -5x + 3 + (12) × (6x - 6)
a₁₃ = -5x + 3 + 72x - 72
a₁₃ = 67x - 64
Therefore, the value of the 13th term of an arithmetic sequence is found as a₁₃ = 67x - 64.
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The correct question is-
Find the 13th term of the arithmetic sequence
−5x+8, x+2, 7x-4,
Please provide the answer and explain
Answer:
The answer is C. -2
Step-by-step explanation:
The formula for slope is referred to "rise over run". So in this case you rise 2 over one (2/1) That gives you 2. But since the line is going down is -2
Find the value of y so that the distance between the points (4, y) and (10, 9) is
equal to 10.
Answer:
6
Step-by-step explanation:
(23q – 34) and (–16q – r)
Answer:
=−368q2−23qr+544q+34r
Step-by-step explanation:
Lori had $126.89 in her bank account. She deposited $21.49 into it and then wrote a check for her car repairs for $156.61. What was the ending balance in her account? (Answers are pinned below.)
Answer:
$-8.23
Step-by-step explanation:
126.89+21.49-156.61
-8.23
Hope this helps plz hit the crown ;D
Which definition represents positive numbers and negative numbers in terms of positive numbers?
Positive numbers are greater than zero. Negative numbers are less than or equal to zero.
B
Positive numbers are greater than or equal to zero. Negative numbers are less than zero.
С
Positive numbers are greater than zero. For every positive number, there is a negative number that is its opposite.
D
Positive numbers are greater than or equal to zero. For every positive number, there is a negative number that is its opposite.
Answer:
D: Positive numbers are greater than or equal to zero. For every positive number, there is a negative number that is its opposite.
Step-by-step explanation:
-9/-3 plz help I’m really confused
Answer:
The answer is 3.
Step-by-step explanation:
Answer:
33
Step-by-step explanation:
What are the constants in the following expression: -x9 + 5x2 -8 + 3x -4
Answer:
Constants: -8, -4
Step-by-step explanation:
How do you do this geometry
Answer:
y = 62
z = 35
Step-by-step explanation:
Basically, you know one of the angles, that is 62. And since y is the same angle as 62 that would also be 62. And since the straight line is 180, just subtract 180 - 62, and that equals 118. So, then I just tried to find numbers that when multiplied by 6, and then subtracted by 92, equal 118. Honestly, z was just a guessing game for me. But I do know that I got the right answer, i just didn't figure it out the right way lol.
Good luck!
Answer:
y = 118°
z = 35
Step-by-step explanation:
All 8 of the angles formed by these three lines are only two different measures. They are all either 62° or
(180°-62°) 118°.
Also, any two of the angles are either the same or they add up to 180°.
The angle marked y° and the 62° angle are called "consecutive" angles or "same-side interior angles. They add up to 180°
y + 62° = 180°
y = 118°
The angle marked y° and the angle marked (6z - 92)° are called "vertical angles" and they are equal.
6z - 92 = 118°
add 92.
6z = 210°
Divide by 6.
z = 35
what is the solution of -3x + 7 = -2 ?
Answer:
X= -3
Step-by-step explanation:
Subtract 7 from both sides of the equation
Simplify
Divide both sides of the equation by the same term
Simplify
Esme wants to make a rectangular pen for her chickens. She has 140 feet of fencing available to use. She wants to put the pen against the side of her barn. In other words, one side of the pen does not need fencing. Determine the maximum possible area she can create.
Answer:
2450 square feet
Step-by-step explanation:
We can first draw a rectangle with one side labeled Esme's wall. Then on one of the sides perpendicular to the "wall", we can assign a variable "x" for its length. The opposite of that side must have the same length "x". The unlabeled side that is opposite to the wall must have a length of "140-2x" because only 140 feet of fencing is available.
The area of a rectangle is equal to its length times its width, so the area of Esme's pen must equal "x" times "140-2x". If we graph this on a graphing calculator, we get a concave-down parabola. Since the input (x-axis) of this graph is the length of "x" and the output (y-axis) is the area Esme's pen, the highest y-value (which is the y-value of the vertex) will be the highest area that she can create. The vertex of this graph is (35, 2450), so the maximum area is 2450 square feet.
The non-calculator method involves expanding the expression "x(140-2x)" and finding the vertex through converting the expression to vertex form. (but... I'm too lazy to write out the vertex form for this expression so sorry no work here)
suppose we want to solve the bvp using a direct method. if we approximate as , what will the matrix be when using the direct method?
A second-order differential equation with limitations on the solution y = y(x) at two different values of x makes up a second-order boundary-value issue.
What is a differential equation?
Any equation involving the abstract representation y=f(x) including one or more of its derivatives is known as a differential equation.
A function y=f(x) that fulfills the differential equation whenever f and also its derivatives are replaced into the equation is a response to a differential equation.
A system of ordinary differential equations having a solution and derivative values defined at more than one place is referred to as a boundary value problem. A two-point boundary value problem is one where the solution and derivatives are typically provided at just two positions (the boundaries).
A second-order differential equation with limitations on the solution y = y(x) at two different values of x makes up a second-order boundary-value issue. For instance, the boundary value issue y′′ + y = 0 with y(0) = 0 and y (/6) = 4 is quite straightforward.
In light of y′(0) = 0 and y′ (/6) = 4, is y′′ + y = 0.
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Today, Nate has 100100100 bananas. He will eat 222 of them every day.
Answer:
what is your question
Step-by-step explanation:
Step-by-step explanation:
Your Question is not complete, please resend and recheck
PLS HELP I AM STRUGGLING
The domain is Domain = {-2 <= x <= 0}, the range is Range = {0 <= y <= 2} and the relation is a function
How to determine the domain of the function?From the function, we have the following observations:
The endpoints of the curve are:(-2, 0) and (0, 2)The curve do not extend more than the endpoint.This means that the domain is
Domain = {-2 <= x <= 0}
How to determine the range of the function?From the function, we have the following observations:
The endpoints of the curve are:(-2, 0) and (0, 2)The curve do not extend more than the endpoint.This means that the range is
Range = {0 <= y <= 2}
How to determine if the relation is a function?From the curve, we can see that each x value has exactly one y value
This means that the relation is a function
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PLEASEEEE HELP , True or False?
7.The altitude and median drawn from the vertex of an isosceles triangle are the same line.
8. The altitude and median drawn from the base angle of an isosceles triangle are the same line.
9. The median of a triangle may be side of the triangle.
10. An altitude of a triangle may be a side of the triangle.
11. A point on the⊥ bisector of a segment is equidistant from the endpoints of the segment.
12.The line y = x and y = - x are perpendicular.
true
false
false
true
false
true
Answer:
g
Step-by-step explanation:
I WILL MARK AS BRAINLIEST PLEASE ANSWER FAST
Twice a number added to a smaller number is 5. The difference of 5 times the smaller number and the larger number is 3. Let x represent the smaller number and y represent the larger number. Which equations represent the situation?
2 y + x = 5. 5 x minus y = 3.
2 x + y = 5. 5 y minus x = 3.
2 y + x = 5. y minus 5 x = 3.
2 x + y = 5. x minus 5 y = 3.
Answer:
the answer is A
Step-by-step explanation:
i got the answer right
HHHHHEEEELLLPPP!!!! PLLEAASE
If two lines are cut by a transversal and the consecutive interior angle are supplementary, then the lines are parallel.
What are Interior Angles?The angle between adjacent sides of a rectilinear figure.
The Line EF is transversal through AB and CD.
By converse of consecutive interior angles:
If two lines are cut by a transversal and the consecutive interior angle are supplementary, then the lines are parallel.
Statement Reason
∠EPB≅∠EQD Given
∠P=∠Q Supplementary angles
AB||CD Converse of consecutive interior angles
Therefore if ∠EPB≅∠EQD then AB||CD.
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does anyone know the answers for 1-5?
Find the slope of given equation
Answer:
i am not sure i think its either c or b
Step-by-step explanation:
1+5= what does this equal
Answer:
1+5=6
Step-by-step explanation:
2(1 - 5k) = 2k + 38
HURRY I NEED THIS ANSWER FAST
Answer:
hope this helps
Step-by-step explanation:
Show that (a + b) (a + b)²=a³+ 3a²b+3ab²+b³
Step-by-step explanation:
(a+b)(a+b)² = (a+b)(a²+2ab+b²)
=a(a²+2ab+b²) + b(a²+2ab+b²)
= a³+2a²b+ab² + a²b+2ab²+b³
=a³+2a²b+ a²b+ab² +2ab²+b³
=a³+3a²b+3ab²+b³
Solve (3-3x3+3)
Yea x means
multiply....
A. -3
B. -9
C. 3
D. 0
Answer:
A. -3
Step-by-step explanation:
Multiply first then add or minus
3 - 3 x 3 + 3
3 - 9 + 3
-6 + 3
-3
Answer:
i got 2.7
Step-by-step explanation:
Examine the work shown. Explain the error and find the correct result.
2(4 – 16) – (–30)
2(–12) – (–30)
24 – (–30)
54
Answer:
= 6
Step-by-step explanation:
in the third step, they did 2 x -12 and got 24. It should’ve been -24 since it was a positive times a negative. It shouldve been
-24 - (-30)
-24 + 30
= 6
Answer:
yo wassup
Step-by-step explanation:
The product of two numbers with different signs is negative, so 2(-12) = -24, not 24. Then -24 — (-30) = -24 + 30 = 6.
sample response on edge
see ya
Alladin's Amusement Park has a popular roller coaster ride. There are 2 trains. Each train has 7 cars. Each car holds 16 people. In one hour, each train makes 10 runs without no empty seats. How many people can ride the roller coaster in one hour?
Answer:
224
Step-by-step explanation:
Number of trains in the roller coaster = 2
Number cars in each train = 7
Total number of cars = Number of trains [tex]\times[/tex] Number of cars in each train = [tex]7\times 2[/tex] = 14
Number of people in each car = 16
Total number of people in 14 cars = Number of people in one car [tex]\times[/tex] Number of cars = 16 [tex]\times[/tex] 14 = 224
i.e.
Total number of people in the roller coaster in one run = 224
Number of runs made by each train in one hour = 10
Therefore, Total number of people that can ride the roller coaster in one hour can be found by multiplying the number of runs with total number of people in the roller coaster in one run.
224 [tex]\times[/tex] 10 = 2240
Please show work(15 points)
a map of Connecticut is drawn to a scale where 2 inches on the map represents 35 miles. if Greenwich and Stonington are 105 miles from each other how far apart do they appear on the map
Answer: 6 inches
Step-by-step explanation:
2 inches = 35 miles, so, 105 divided by 35 which is three, then 3 x 2 = 6
you're welcome
if 4% of packages get lost in the mail the which decimal represents the amount of packages lost in the mail
Answer:
40
Step-by-step explanation:
Answer:
0.04
Step-by-step explanation:
4% = 0.04
Can anyone help me with this?
Answer:
around 12.08
Step-by-step explanation:
to do this, you need to do sine cosine tangent. Make sure your calculator is in degrees, not radians. Since the only other side given is the hypotenuse, 16, and y is adjacent to the angle, you use cosine (adjacent/hypotenuse). You do cos(41) and multiply it by 16 to get 12.08
Answer:
12.1
Step-by-step explanation:
41 + x = 90
x= 49
Sine rule:
Sin90 = Sin49
16 y
y= 16sin49
y is approx. 12.1
What is the image of the point (-7,9) after a rotation of 270∘ counterclockwise about the origin?
(?,?)
The image of the point after a rotation of 270∘ counterclockwise about the origin is (9, 7)
How to determine what is the image of the point after a rotation of 270∘ counterclockwise about the origin?The point is given as
Point = (-7, 9)
The transformation rule is given as
270 degrees counterclockwise rotation
The rule of 270 degrees counterclockwise rotation is
(x,y) = (y,-x)
When the above rule is applied to the vertices of the point, we have:
Point' = (9, 7)
Hence, the image of the point after a rotation of 270∘ counterclockwise about the origin is (9, 7)
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Adding 8 groups of (-4) is the same as dividing 8 and (-4)
Answer:
No
Step-by-step explanation:
Adding 8 groups of (-4) = -32
Dividing 8 and (-4) = -2
-2 doesn't equal -32
hope this helps, pls mark brainliest :D
Answer:
That statement is false
Step-by-step explanation:
PLEASE HELP!
At a local fair, the admission fees are $1.50 for children, $3 for college students, and $5 for adults.
On Saturday, 1500 tickets were sold and brought in $5500.
The number of college student tickets sold was 100 less than the number of children's tickets sold.
How many children's tickets were sold?
Answer:
Children's' Tickets Sold: 400
College Tickets Sold: 300
Adult Tickets Sold: 800
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightPre-Calculus
MatricesReduced Row Echelon Form (RREF)Step-by-step explanation:
Step 1: Define Variables
x = children tickets
y = college tickets
z = adult tickets
Step 2: Define Systems
Use the given information to set up the equations.
x + y + z = 1500
1.5x + 3y + 5z = 5500
y = x - 100
Step 3: Redefine Systems
x + y + z = 1500
1.5x + 3y + 5z = 5500
-x + y = -100
Step 4: Solve for x
Rewrite [Matrix]: [tex]\left[\begin{array}{ccc}1&1&1 | 1500\\1.5&3&5 | 5500\\-1&1&0 | -100\end{array}\right][/tex][Matrix] RREF: [tex]\left[\begin{array}{ccc}1&0&0 | 400\\0&1&0 | 300\\0&0&1 | 800\end{array}\right][/tex]Here we see that our x = 400, y = 300, and z = 800. Correspond this with our defined variables and we have our answer.