find the 53rd term of the arithmetic sequence -12, -1, 10,

Answers

Answer 1

The 53rd term of the arithmetic sequence is 584

What is Arithmetic sequence?

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. For instance, the sequence 5, 7, 9, 11, 13, 15.. . is an arithmetic progression with a common difference of 2

The nth term of an arithmetic sequence is given as : a(n) = a+(n-1) d

where a is the first term and d is the common difference.

The first term in the sequence is -12 and the common difference is -1-(-12) = 11

a(53) = -12+( 53-1) 11

= -12+ 52×11

= 12+ 572

a(53) = 584

Therefore the 53rd term is 584

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Related Questions

How many solutions exist for the given equation?
1/2(x+12) = 4x -1
zero
one
two
infinitely many

Answers

Answer:

one answer

x = 2

Step-by-step explanation:

Philippe will read One-half of the number of pages that Rafael reads. How many pages will Rafael read?

Answers

Answer: I cannot answer it because it needs more details. For ex say how much day he/she needs and how much pages he/she will read.

Step-by-step explanation: Unknown

What does y = 1/3x + 5 look like on a graph?

Answers

It’s gonna cross the 5 on the y axis, and it’ll be decreasing because the rise/run is 1/3

Please help, I beg of y'all

FIND BD -

Answers

9514 1404 393

Answer:

  14 units

Step-by-step explanation:

The angle bisector divides the sides proportionally.

  BD/BA = CD/CA

  (x+4)/8 = (2x+1)/12

  3(x +4) = 2(2x +1) . . . . . multiply by 24 (the least common denominator)

  3x +12 = 4x +2 . . . . . . . eliminate parentheses using the distributive property

  12 = x +2 . . . . . . . subtract 3x

  10 = x . . . . . . . . . subtract 2

Then the length of BD is ...

  BD = x +4

  BD = 10 +4 . . . . substitute the value of x

  BD = 14

please help picture attached ​

Answers

Answer:

triangle B and D

Which is closest to the quotient 4,367 divided bye 0.004?


A. 1,000
B. 10,000
C. 100,000
D. 1,000,000

Answers

Answer:

6.) 1,000,000

Step-by-step explanation:

Answer:

ye

Step-by-step explanation:

For the equation: 4x+y=10 what does x equal if y=-6?

Answers

Answer:

x = 4

pls mark as brainliest...

Answer:

x=4

Step-by-step explanation:

4x+y=10 then, plug in y

4x+(-6)=10 then, isolate x by adding 6to both sides,

+ 6 +6 then, divide by 4 on each side

4x/4=x

16/4=4

x=4

have to state if the triangles are similar or not.

2. You have to provide the postulate used if similar.

3. You have to complete the similarity statement. 4. You have to support your answers with work.

Answers

Answer:

Step-by-step explanation:

10). 1). Both the triangles are not similar.

     2). For the similarity of two triangles, corresponding sides of the triangles should be proportional and the included angles should be equal in measure.

         Although the angle given is equal but the corresponding sides of the triangles are not proportional, triangles are not similar.

          [tex]\frac{UW}{HF}= \frac{UV}{GF}[/tex] (For similar triangles)

          [tex]\frac{9}{21}= \frac{18}{42}[/tex]

          [tex]\frac{3}{7}=\frac{6}{7}[/tex]

          But [tex]\frac{3}{7}\neq \frac{6}{7}[/tex] therefore, both the triangles are not similar.

11). In ΔTUV and ΔCDE,

    If the given triangles are similar, their corresponding sides will be proportional and the included angle will be equal in measure.

    ∠C ≅ ∠T [Given]

    [tex]\frac{TU}{CD}= \frac{UV}{DE}[/tex]

    [tex]\frac{30}{10}=\frac{27}{9}[/tex]

    3 = 3

    True.

    Therefore, ΔTUV ~ ΔCDE (By SAS postulate of similarity]

pls help soon reward brainiest

Answers

Answer:

x=-6

Step-by-step explanation:

Enola surveyed 300 of the students in her school about their favorite color. 78 students said their favorite color was purple. What percentage of the surveyed students said their favorite color was purple?

Answers

Answer:

26%

Step-by-step explanation:

I did some simple math here: a percentage represents a number over 100.

To find the percentage, I just divided 78 by 300 and got 0.26

I then multiplied by 100 to get 26%

Hope this helps! Have a great day!

2
1
X 46
7. Find the m 2 JKL
in rhombus JKLM

Answers

Step-by-step explanation:

since KLJ is a parallelogram, it can be split into 2 congruent triangles, as seen above. The angles remain the same, so we know angle KJL is also 25 degrees. Using the triangle angle sum theorem (all sides of a triangle add up to 180 degrees), we can determine the missing angle measure is 25 degrees. It would have been nice if the question told us JKLM was also a rhombus.

I need help with this assignment please help me ​

Answers

Answer:

Step-by-step explanation:

a. 7*7*7= 7 cubed(when we divide powers we subtract them)

Write and equality for an each situation .

Gary has at least 25 blue t shirts
The room can hold no more than 50 people .

Answers

Answer:

50-25? so the answer is twenty five?

Step-by-step explanation:

25 hope this helps!!!

Evaluate the formula for distance to solve the problem. Then use the drop-down menus to complete the statements.

Distance = rate times time

During a big race, Jeff races his car at a rate of 125 miles per hour for 3.2 hours. What is the distance of the race?

First, write the
.

Next, use parentheses when you substitute
in for r and
in for t.

Now, simplify by
125 and 3.2.

Jeff raced for a distance of
miles.

Answers

Answer:

First, write the  

✔ formula: d = rt

.

Next, use parentheses when you substitute  

✔ 125

in for r and  

✔ 3.2

in for t.

Now, simplify by  

✔ multiplying

125 and 3.2.

Jeff raced for a distance of  

✔ 400

miles.

Step-by-step explanation:

what equation represents the table ?

Answers

Answer:

y=x-2

Step-by-step explanation:

we know that y-intercept is -2

y=?x-2

So now we would have to find slope

the slope would be 1

soo that makes the equation would be

y=x-2

I hopes this helps.

Have a good day!!

Write your own Algebraic expression with four terms that can simplify to 12x+4​

Answers

Answer:

11x+1x + 2+ 2

Step-by-step explanation:

PLS HELP!!
Which expressions simplify to a rational answer?

Select each correct answer.

Answers

The second one only

Because they are both perfect squares.
Non perfect squares multiply by another non perfect square gives you a irrational number.

find an equation of line containing (3, -4) and having slope -2. if this line contains the points (a, 8) and (5, b) find a and b

Answers

Answer:

a = -3

b = -8

Step-by-step explanation:

Equation for a line is:

y-coordinate = (slope * x-coordinate) + y-intercept

For (3, -4): -4 = (-2 * 3) + y-intercept

y-intercept = 2

Equation for all points on this line is:

y = -2*x + 2

For (a, 8): 8 = (-2 * a) + 2

For (5, b): b = (-2 * 5) + 2

y=-3x-5
y=4x+30
PLS HELP ASAP

Answers

{y,x} = {10,-5}

Step-by-step explanation:

sorry if this dont make sense

solve equation [2] for the variable y

y = 4x +30

plug this in for variable y in equation [1 ]

(4x+30) +3x= -5

solve [1] for the variable x

7x= - 35

x= - 5

by now we know this much

y= 4x+30

x= - 5

use the x value to solve for y

y=4 (-5) + 30 = 10

solution

{y,x} = {10,-5}

Jimmy invests $2500 in an account with a 5% interest rate, making no other deposits or withdrawals. What will Jimmy’s account balance be after 8 years if the interest is compounded 6 times each year?
URGENT PLEASE

Answers

Answer:

We conclude that the total amount accrued, principal plus interest,  from compound interest on an original principal of  $2500 at a rate of 5% per year compounded 6 times per year over 8 years is $3723.38.

Step-by-step explanation:

Given

Principle P = $2500

Interest rate r = 5% = 0.05

Time period t = 8 years

To determine

Accrue Amount A = ?

Using the compound interest equation

[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}[/tex]

where:

A represents the Accrue Amount

P represents the Principal Amount

r represents the interest rate

t represents the time period in years

n represents the number of compounding periods per unit t

Important tip:

Given that the interest is compounded 6 times each year, therefore, the value of n = 6.

now substituting P = 2500, r = 0.05, t = 8 and n = 6 in the equation

[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}[/tex]

[tex]A=2500\left(1+\frac{0.05}{6}\right)^{\left(6\right)\left(8\right)}[/tex]

[tex]\:A=2500\left(1+\frac{0.05}{6}\right)^{48}[/tex]

[tex]A=2500\times 1.48935[/tex]      ∵  [tex]\left(1+\frac{0.05}{6}\right)^{48\:\:}=1.48935[/tex]

[tex]A=\:3723.38[/tex] $

Therefore, we conclude that the total amount accrued, principal plus interest,  from compound interest on an original principal of  $2500 at a rate of 5% per year compounded 6 times per year over 8 years is $3723.38.

A man with a height of 5ft casts a shadow of 2ft. What will be the height of a tree that casts a shadow of 40ft at the same time?

Answers

Answer:

19

Step-by-step explanation:

Answer:

100 ft.

Step-by-step explanation:

Let x = height of tree

height/height = shadow length/shadow length

5/x = 2/40

2x = 200

x = 100 ft.

The length of what line segment would be multiplied by pi to find the circumference of Circle P?

Answers

9514 1404 393

Answer:

  QS

Step-by-step explanation:

The circumference is pi times the diameter. The only segment shown that is a diameter is QS.

Graph the function y = 4x4 – 8x2 + 4. Which lists all of the turning points of the graph?

(0, 4)
(–1, 0) and (1, 0)
(–1, 0), (0, 4), and (1, 0)
(–4, 0), (–1, 0), (0, 4), and (1, 0)

in case you are wondering, there is no graph.

Answers

Answer:

[tex]4(x + 1)^{2}(x - 1)^{2}[/tex]

Step-by-step explanation:

STEP 1:

The equation at the end of step 1

[tex]((4 (x^4)) - 2^3x^2) + 4[/tex]

STEP 2:

The equation at the end of step 2:

[tex](2^2x^4 - 2^3x^2) + 4[/tex]

STEP 3:

STEP 4: Pulling out like terms

4.1 Pull out like factors:

[tex]4x^4 - 8x^2 + 4 = 4(x^4 - 2x^2 + 1)[/tex]

Trying to factor by splitting the middle term

4.2 Factoring [tex]x^4 - 2x^2 + 1[/tex]

The first term is, [tex]x^4[/tex] its coefficient is 1.

The middle term is,  [tex]-2x^2[/tex]  its coefficient is -2.

The last term, "the constant", is +1.

Step-1: Multiply the coefficient of the first term by the constant   1 • 1 = 1

Step-2: Find two factors of  1  whose sum equals the coefficient of the middle term, which is -2.

-1 + -1 = -2 That's it

Step-3: Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -1  and  -1

                    x4 - 1x2 - 1x2 - 1

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x2 • (x2-1)

             Add up the last 2 terms, pulling out common factors :

                    1 • (x2-1)

Step-5 : Add up the four terms of step 4 :

                   (x2-1)  •  (x2-1)

            Which is the desired factorization

Trying to factor as a Difference of Squares:

4.3      Factoring:  x2-1

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check : 1 is the square of 1

Check :  x2  is the square of  x1

Factorization is :       (x + 1)  •  (x - 1)

Trying to factor as a Difference of Squares:

4.4      Factoring:  x2 - 1

Check : 1 is the square of 1

Check :  x2  is the square of  x1

Factorization is :       (x + 1)  •  (x - 1)

Multiplying Exponential Expressions:

4.5    Multiply  (x + 1)  by  (x + 1)

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is  (x+1)  and the exponents are :

         1 , as  (x+1)  is the same number as  (x+1)1

and   1 , as  (x+1)  is the same number as  (x+1)1

The product is therefore,  (x+1)(1+1) = (x+1)2

Multiplying Exponential Expressions:

4.6    Multiply  (x-1)  by  (x-1)

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is  (x-1)  and the exponents are :

         1 , as  (x-1)  is the same number as  (x-1)1

and   1 , as  (x-1)  is the same number as  (x-1)1

The product is therefore,  (x-1)(1+1) = (x-1)2

Final result :

 4 • (x + 1)2 • (x - 1)2

Please help answer all please thank you

Answers

Answer:

The answers are, in order:

1. Isolate

2. substitute

3. variable

Step-by-step explanation:

You're welcome :)

answer choices:90ft square inches, 45ft square inches, 80ft square inches ​

Answers

Answer:

CAUSE I FEEL THE BREK FEEL THE BREK FELLLLLLL THE BREKK

Step-by-step explanation:

Tito builds a model of the solar system. In his model, the diameter of the sphere representing Jupiter is 7
inches. What is the circumference of a cross section through the center of the model of Jupiter? Use 3.14
for π


Answers

Answer:

21.99

Step-by-step explanation:

C = 2 * Pi * (r)

Diameter = 7

Radius = 3.5

Pi

21.99

McKenzie earns $15 per lawn mowed she also earned $10 for babysitting she earned 100 total, what does that look like in algebra form? Please help.

Answers

Answer:

15a + 10b = 100

Step-by-step explanation:

Given:

Cost of each lawn mowed = $15

Cost of each babysitting = $10

Total money earned = 100

Find:

Algebra form

Computation:

Assume;

Number of lawn mowed = a

Number of babysitting = b

So,

15a + 10b = 100

Which triangle makes this statement true?

Answers

Answer:

Step-by-step explanation:

The question is kind of confusing but I think the answer is A.

Answer:

C is the correct answer

Step-by-step explanation:

I did this exact one and it was right I hope this helps! Have a good day! :)

Proof:

1. A hammock is suspended between two trees. The curve the hammock makes can be modelled by the equation, y = 0.2x2 – 0.4x – 0.6, where x and y are measured in meters. (Application)

a. What do the x-intercepts tell you?

b. Does the y-intercept have any meaning in this situation.

Answers

Answer:

Step-by-step explanation:

Given that:

The modeled equation y = 0.2x² - 0.4x - 0.6

To find x- intercepts

y = 0.2x² - 0.4x - 0.6

y = 0.2(x² - 2x - 3)

y = 0.2(x - 3)(x + 1)

Suppose the upward parabola cuts x axis at x = 3 and x = - 1

Then, the length of the intercepts will be = 3 -(-1)

=4

We can say that the trees will be 4 unit apart.

To find y-intercepts;

y = 0.2(0)² - 0.4(0) -0.6

y = -0.6 meters

Enter a digit in each box to complete the division problem.

Please answer i’ll give brainliest

Answers

Step-by-step explanation:

2527 is the first line so 5 in the box

then 47 so a 4 in that box

top answer row

315 E7 so a 5 in that box.

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