Find the 64th term of the arithmetic sequence 29, 38, 47, ...

Answers

Answer 1

Answer:

         a₆₄ = 596

Step-by-step explanation:

The equation of the nth term of the arithmetic sequence is: [tex]a_n =a_1+d(n-1)[/tex]

d = 38 - 29 = 9

a₁ = 29

Therefore:

                 [tex]a_{64} =29+9(64-1)\\\\a_{64} =29+9\cdot63\\\\a_{64}=596[/tex]


Related Questions

Solve for X, show work PLS =)
½(4x+2)=2x-4

Answers

4x+2=4x-8
2=-8
answer: no solutions

5x + 8 = 23

Solve x.

Please

Answers

Answer:

X=3

Step-by-step explanation:

I got a calculator.  

Answer:

[tex]x=3[/tex]

Step-by-step explanation:

First you want to subtract 8 from 23

[tex]23-8=15[/tex]

Now take 15 and divide by 5

[tex]15/5=3[/tex]

3 is the final answer

I need help. The due date is April 21, 2021 11:00pm

3=y
2y + 2x = 8

The Options:

A. (1,3)
B. (3,1)
C. (0,8)
D. (2,2)

Answers

the answer is B

if y = 3 then
2 (3) = 6
2 (1) = 2
6 + 2 = 8

y = 8 ∙ 3^x for x = 4 20 POINTS

Answers

Answer:

648

Step-by-step explanation:

8×3^4=648

8×81=648

Find the shaded area, please help ty (Geometry)

Answers

Answer:

The area of whole square is 396 sq mm

the area of triangle  = 99

396 - 99 = 297 sq mm

Answer - 297

Of the possible outcomes in the sample space, how many times does the event of rolling a two occur?

Answers

Answer:

The event of rolling a two happens only once.

Step-by-step explanation:

sample explanation

Brianna rolls two number cubes labeled 1–6. What is the probability that Brianna rolls a sum of 5?

Answers

Answer: [tex]\dfrac{1}{9}[/tex]

Step-by-step explanation:

Given

Brianna roll two cubes labeled 1-6

To get a sum of 5, sample space is

[tex]n(s)=\{(1,4),(4,1),(2,3),(3,2)\}[/tex]

No of the elements in [tex]n(s)[/tex] is 4

The total outcomes possible is 36

[tex]\therefore \text{Probability }P=\dfrac{4}{36}\\\Rightarrow \dfrac{1}{9}[/tex]

the diagram shows a track composed of a rectangle with a semicircle on each end. the area of the rectangle is 4,000 square meters. what is the perimeter of the track?

Answers

Answer:14400

160

=

90

Step-by-step explanation: 90

π

=

90

π

 If you are using an approximation such as 3.14 for  

π

, multiply that by 90

Add  

160

2

to the circumference since the lengths of the rectangle are also part of the perimeter.

160

2

=

320

90

π

+

320

pls help me out what up

Answers

Answer:

Answers are below

Step-by-step explanation:

29. 3(4x-5) + 4(2x+6)

Solution: 20 + 9

30. -8(2a - 3b) - 5(6b - 4a)

Solution: 4 − 6

31. 10(5g + 2h - 3) - 4(3g - 4h + 2)

Solution: 38 + 36ℎ − 38

hope this helps :) Let me know if you need any further explanations.

Please help me with this problem!! thank you!

Answers

Answer:

its number 3.

Step-by-step explanation:

Question 5 (1 point)
Which statement about segregation in Arkansas following Reconstruction is true?
The United States Supreme Court supported segregation.
O Governor Clayton put a stop to segregation.
Only public transportation was segregated
The federal government resisted efforts to segregate.

Answers

Answer:

Step-by-step explanation:

The answer is the United states Supreme Court suported segreation

Lucy bought a broken toy. She repaired it and sold it to her friend. Lucy made the following list to help her calculate her profit. -Price paid for the toy: $5.25 -Cost to repair the toy: $1.33 -Selling price of the toy: $10.00 How much profit did Lucy make by selling the toy?

Answers

Answer:

6.08

Step-by-step explanation:

10.00 - 5.25 + 1.33

solve for x in the diagram below 3x 80 2x

Answers

Answer:

x= 16

Step-by-step explanation:

Answer:

x=20

Step-by-step explanation:

The three angles added up will be 180 degrees in total.

3x+80+2x=180

5x+80=180

5x=100

x=20

Caleb invested $6,200 in an account paying an interest rate of 7 1/2% compounded
quarterly. Sophie invested $6,200 in an account paying an interest rate of 7 7/8%
compounded monthly. To the nearest dollar, how much money would Sophie have in
her account when Caleb's money has doubled in value?

Answers

Oh this is a hard one I will get back to you whenever I get it

Pls helps I need help

Answers

Look up the question on Brainly! I’m pretty sure it’ll come up. If not, sorry!

Can someone help me oit

Answers

Answer:

The correct answer is letter D

Use the Parent function and Function 2 to choose the best statement comparing the graphs to each other.

Parent Function: y = 1/5x^2

Function 2: y = 1/5x^2 +7

A. Function 2's graph is shifted down 7 units from the Parent Function's graph.

B. Function 2's graph is shifted up 7 units from the Parent Function's graph.

C. Function 2's graph is shifted left 7 units from the Parent Function's graph.

D. Function 2's graph is shifted right 7 units from the Parent Function's graph.

Answers

Answer:

the answer is A&d

Step-by-step explanation:

I took the quiz and got 100

PLEASE HELP
I WILL MARK BRAINLIEST

Answers

Answer:

False

Step-by-step explanation:

They don't look alike

Leticia bought a new tablet for $425. She had to pay a sales tax of 8%.


What was the amount of sales tax she paid on the tablet?               Sales Tax: $


What was the total cost after sales tax that Leticia paid for the tablet?      Total: $


Answers

Sale Tax: $34
Total: $459

Step to solve:
To find sale tax you would need to multiple 425, the cost of the tablet by 8% or 0.08 in decimal form to get the answer 34.

To find the total add the sale tax, 34, and the cost of the tablet, 425, to get the total, 459 dollars.

Find the volume of a sphere with a radius of 5 in. Round to the nearest hundredth.

A) 53.05 in3
B) 104.72 in3
C) 392.70 in3
D) 523.60 in3

Answers

Answer:

D

Step-by-step explanation:

it's D I don't have a full step by step

solve for x and ___
help pls

Answers

Answer:

-10

10

Step-by-step explanation:

Answer:

sorry

Step-by-step explanation:

It costs $520 to plant 4 acres of corn. How much would it cost to plant \large \frac{3}{5} acre of corn?

Answers

Answer:

$78 to plant 3/5 an acre of corn

Step-by-step explanation:

you can set up a fraction. 

520/4 = x/6

Cross multiply

312 = 4x

Divide both sides by 4 equal to

x=78

$78 to plant 3/5 an acre of corn

This year, The Springfield Times had 11,322 subscribers. That is 85% more than they had last year, before the paper was bought out. How many subscribers did the paper have last year?

Answers

Answer:

The paper had 1698.3 subscribers last year.

Step-by-step explanation:

11,322 * 85% = 9623.7

11,322 - 9,623.7 = 1698.3

So, the answer is 1698.3

Hope this helps! :)

There are 110 calories per 177.4 grams of Cereal X. Find how many calories are in 238.5 grams of this cereal

Answers

Answer: 147.87 calories

Step-by-step explanation:

Let the amount of calories in 238.5 grams of this cereal be represented by x.

Based on the information given, we can form an equation as:

110/177.4 = x/238.5

Cross multiply

177.4 × x = 238.5 × 110

x = (238.5 × 110) / 177.4

x = 147.87

Therefore, there are 147.87 calories in 238.5 grams of this cereal.

Write any two irrational numbers between 0.7575496 and 0.784218972.​

Answers

Answer:

2 rational numbers are:

0.766766676666766666.....

0.766766676666766666.....0.77896543567543120.....

What value of makes this equation true? =92 =60 =38 =76

Answers

Answer:

y = 60

Step-by-step explanation:

Given

22 + 54 = y + 16 , that is

76 = y + 16 ( subtract 16 from both sides )

60 = y

Answer: y=60

Step-by-step explanation:

How far is mercury from Neptune?

Answers

29.70 AU


Step by step:

Practice question — Given the trapezoid to the right find the length of legs in the following isosceles trapezoid

Answers

Given:

A figure of an isosceles trapezoid with bases 18 and 24, and the vertical height is 4.

To find:

The legs of the isosceles trapezoid.

Solution:

Draw another perpendicular and name the vertices as shown in the below figure.

From the figure it is clear that the AEFD is a rectangle. So,

[tex]EF=AD=18[/tex]

Since ABCD is an isosceles trapezoid, therefore in triangle ABE and DCF,

[tex]AB=DC[/tex]               (Legs of isosceles trapezoid)

[tex]AE=DF[/tex]                (Vertical height of isosceles trapezoid)

[tex]m\angle AEB=m\angle DFC[/tex]             (Right angle)

[tex]\Delta ABE\cong \Delta DCF[/tex]                (HL postulate)

[tex]BE=CF[/tex]                (CPCTC)

Now,

[tex]BE+EF+FC=BC[/tex]

[tex]2BE+18=24[/tex]

[tex]2BE=24-18[/tex]

[tex]2BE=6[/tex]

[tex]BE=3[/tex]

Using Pythagoras theorem in triangle ABE, we get

[tex]Hypotenuse^2=Perpendicular^2+Base^2[/tex]

[tex](AB)^2=(AE)^2+(BE)^2[/tex]

[tex](AB)^2=(4)^2+(3)^2[/tex]

[tex](AB)^2=16+9[/tex]

[tex](AB)^2=25[/tex]

Taking square root on both sides, we get

[tex]AB=\pm \sqrt{25}[/tex]

[tex]AB=\pm 5[/tex]

Side length cannot be negative. So, [tex]AB=5[/tex].

Therefore, the length of legs in the given isosceles trapezoid is 5 units.

The speed of a train is 35 miles per hour less than 2 times the speed of a car. If the speed of the train is 60 miles per hour, how fast is the car going? Leave the answer as a fraction.

Answers

Answer:

95/2 mph

Step-by-step explanation:

speed of train = 60 mph

speed of car = x

"The speed of a train is 35 miles per hour less than 2 times the speed of a car."

2x - 35 = 60

2x = 95

x = 95/2

Answer: 95/2 mph

Aaron wants to buy sod for his backyard. What is the amount of area he will need to cover? A)14in B)16in C)45.9 in D) 29.9in

Answers

Answer:

29.9 inches squared

Step-by-step explanation:

I just took this and got the answer right!!

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