Find the 71st term of the following arithmetic sequence.

5, 13, 21, 29, ... ​

Answers

Answer 1

Answer:

7,120

Step-by-step explanation:

Answer 2

Answer:

565

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 5 and d = 13 - 5 = 8, thus

[tex]a_{71}[/tex] = 5 + (70 × 8) = 5 + 560 = 565


Related Questions

HELP HELP HELP HELP HELP HELP HELP HELP HELP HELP HELP HELP

Answers

Answer:

The first relationship have a zero slope.

Step-by-step explanation:

Because if the y-axis is the same number and that's what makes the first choice the right answer.

What is the length of the diagonal of a 10 cm by 15 cm rectangle?

Answers

Answer:

18.02 cm

Step-by-step explanation:

A diagonal makes a rectangle into two right triangles. So if we use the Pythagorean theorem we can find the hypotenuse which is the diagonals.

Remember, because we know the length and width, we know the two sides.

10^2 + 15^2 = c^2

100+225 = c^2

325 = c^2

18.027 ≈ c

We can use the Pythagorean theorem to solve for the diagonal. The diagonal is the same as the hypotenuse of a triangle.

Pythagorean Theorem: a² + b² = c²

Now, solve for the diagonal.

(10)² + (15)² = c²

100 + 225 = c²

325 = c²

√325 = √c²

18.0277... = c

Round if necessary.

18.0277... = 18.03

Therefore, the diagonal of the rectangle is approximately 18.03cm.

Best of Luck!

Solve the equation for x.
x/3 = (2x + 3)/7

Answers

Answer:

Our answer is [tex]x=9[/tex]

Step-by-step explanation:

First we will rearrange so we have to divide by 7.

[tex]\frac{x}{3}= \frac{2x+3}{7}[/tex]

Now we will cross multiply.

So...

[tex]x*7 \\3*2x+3[/tex]

Our new equation will look like:

[tex]7x=6x+9[/tex]

Now we have to isolate x.

So we have to subtract 6x from both sides.

[tex]7x-6=1x[/tex]

and

[tex]6x-6x=0[/tex]

Our new equation is:

[tex]1x=9[/tex]

Now divide.

Our answer is [tex]x=9[/tex]

Hope this helped!

X = 3

First u cross multiply

7x =3(2x +3)
Multiply parentheses by 3


7x = 6x =9
Move variable to the left

7x - 6x =9
Collect the terms

x = 9

11) Find the length of side x. picture is above!
I will give you 20 points and
brainliest

Answers

Answer:

25m :)

Step-by-step explanation:

Determine the slope of the line below.

A. -3 B. 3 C. 1/3 D. -1/3

Answers

The answer is c. 1/3
The answer is C. 1/3

An object is launched at 29.4 meters per
second (m/s) from a 34.3-meter tall
platform. The equation for the object's
height s at time x seconds after launch is
f(x) = -4.9x2 + 29.4x+ 34.3, where y is in
meters. What is the initial height of the
object?

29.4 meters
78.4 meters
34.3 meters
3 meters

Answers

Answer:

34.3 meters

Step-by-step explanation:

The generic equation for a movement with constant acceleration is:

S = So + Vo*t + (a*t^2)/2

Where S is the final position, So is the inicial position, Vo is the inicial speed, a is the acceleration and t is the time.

If we compare with our equation (where x is the time and f(x) is the final distance), we have that:

So = 34.3

Vo = 29.4

a = -9.8

So we have that the inicial position (So) of the object is 34.3 meters

oel biked 9 miles east and then 12 miles north. If he biked back to his starting point using the most direct route, how many miles would he ride all together?

Answers

Answer:

36 miles

Step-by-step explanation:

(Imagine a huge triangle on a perfectly open space-- not with streets or houses or cornfields.)

The dimensions of the two sides given are multiples of a classic Pythagorean Triple: 3, 4, 5.    [tex]3^{2} + 4^{2} = 5^{2}[/tex]  

9 is 3x3, 12 is 3x4 so the remaining side would be 3x5  15

Add those 3 sides to get the total distance, 36 miles.

Answer:

36

Step-by-step explanation:

• Each number on a number cube is a possible result, or _______________, of rolling the cube.

Answers

Ratio or outcome maybe?

Finish the sentence....

FTC Flight team____________?

Answers

FTC Flight team stand up!

Answer:

Step-by-step explanation:

What it do Flight Crew FTC Flight Team Stand UPPPPPP

Evaluate the geometric series. Please help me!!

Answers

Answer:

- 85

Step-by-step explanation:

The n th term of a geometric series is

[tex]a_{n}[/tex] = a[tex](r)^{n-1}[/tex]

where a is the first term and r the common ratio

1[tex](-2)^{n-1}[/tex] ← is the n th term of a geometric series

with a = 1 and r = - 2

The sum to n terms of a geometric series is

[tex]S_{n}[/tex] = [tex]\frac{a(r^{n}-1) }{r-1}[/tex]

    = [tex]\frac{1((-2)^{8}-1 }{-2-1}[/tex]

    = [tex]\frac{256-1}{-3}[/tex]

    = [tex]\frac{255}{-3}[/tex]

    = - 85

Jane is training for a triathlon. After swimming a few laps, she leaves the health club and bikes 24 miles south. She then runs 10 miles west. Her trainer bikes from the health club to meet jane at the end of her run. How much farther does jane travel than her trainer?

Answers

Answer:

26 miles farther from her trainer

Step-by-step explanation:

She starts her journey at health club,

Ran 24 miles south and then 10 miles west.

The distance between her end point and her trainer who was at health club can be calculated using pythagorean theorem.

X² = y² + z²

X = her end point

Z = distance between health club 24 miles south. = 24miles

Y = 10 miles distance from the 24 miles south. = 10 miles.

(See attachment for better illustration.)

X² = 24² + 10²

X² = 576 + 100

X² = 676

X = √(676)

X = 26 miles

Jane was 26 miles farther from her trainer

Which of these situations could be written as an equation with one variable?

A
Penny picked 35 apples, Ben picked 22 and Sam picked 17. They picked 74 apples all together. Who picked the most apples?

B
Harriet and Lea found 9 four-leaf clovers on the baseball field in all. Harriet found 5 of them. How many clovers did Leah find?

C
There were 45 doughnuts at the snack table today. Tanisha brought 33 of them, and Doug brought 12. Where did Tanisha buy her doughnuts?

D
Lori bought the most T-shirts of anyone in her family. She bought 1 more T-shirt than Thea and 3 more than Pino. How many shirts did Lori buy?

BACK

Answers

Answer:

b

Step-by-step explanation:

Because i dont know I just need points bro

It would be B becuase 9-x=5

P.S x=4

A​ 12-sided die is rolled. The set of equally likely outcomes is {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}. Find the probability of rolling a 9.

Answers

Answer:

1/12

Step-by-step explanation:

Since all are equally likely, each outcome has a probability of 1/12.

P(9) = 1/12

Answer:

1/12

Step-by-step explanation:

The probability of rolling a nine is given by the number of good outcomes over the total outcomes

P(9) = number of 9's / total

       =1/12

What is the volume of the right rectangular prism with a length of 2 millimeters, a width of 4 millimeters, and a height of 8 millimeters?

Answers

Answer:

8

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

2 times 4 times 8 = 64

The coordinates of point A on a grid are (2, -5). Point A is reflected across the x-axis to obtain point B. The coordinates of point B are (2, ___). (1 point)

Answers

Answer:

(2,5)

Step-by-step explanation:

If you are flipping a point over the x-axis, multiply the y coordinate by -1, if you are flipping something over the y-axis, multiply the x coordinate by -1.

The coordinates of point B are (2,5)

How does reflection across axis work?

When a graph is reflected along an axis, say x axis, then that leads the graph to go just in opposite side of the axis as if we're seeing it in a mirror.

If you study it more, you will find that its symmetric, thus each point is equidistant from the axis of reflection as that of the image of that point.

Given that  coordinates of point A on a grid are (2, -5). Point A is reflected across the x-axis to obtain point B.

Since flipping a point over the x-axis, then we have to multiply the y coordinate by -1,

And ifyou are flipping something over the y-axis, then we have to multiply the x coordinate by -1.

Therefore, the point B are (2, _5_).

Learn more about reflection here;

https://brainly.com/question/28186407

#SPJ2

Find the volume of a right circular cone that has a height of 9.1 m and a base with a circumference of 12.1 m. Round your answer to the nearest tenth of a cubic meter.

Answers

Answer:

[tex]V=35.3\ m^3[/tex]

Step-by-step explanation:

-Given the cone's height is 9.1m and the Circumference is 12.1

#We use the circumference formula to calculate the radius:

[tex]C=2\pi r\\\\12.1=2\pi r\\\\r=\frac{12.1}{2\pi}=\frac{6.05}{\pi}\ cm[/tex]

-The volume of the cone using the radius above can then be calculated as follows:

[tex]V=\pi r^2\frac{h}{3}\\\\=\pi\times(\frac{6.05}{\pi})^2\times \frac{9.1}{3}\\\\\\=35.3\ m^3[/tex]

Hence, the cone's volume is [tex]35.3\ m^3[/tex]

2) A band played an encore at 4 of its last 14 shows. What is the
experimental probability that the band will play an encore at its next
show?
a.2/7
b.3/7
c.4/7
d.5/7​

Answers

Answer:

a. 2/7

Step-by-step explanation:

Please kindly go through the attached file for explanation

Use the distributive property to expand the following expression.



−3(2x+(−7)+5y)

Answers

Answer:

-6x +21 -15y

Step-by-step explanation:

−3(2x+(−7)+5y)

Distribute

-3*2x + -3*-7 + -3*5y

-6x +21 -15y

Art and PE

--------- Art No Art Total
PE A B C
No PE D E F
Total G H J

300 students in a middle school take Art, and 250 of those students also take PE. There are 250 students who do not take Art but do take PE. 125 students take neither Art nor PE. If you were to complete the two-way table shown here, which value would go in position D?

A) 50
B) 75
C) 100
D) 125

Answers

Answer:

A) 50

Step-by-step explanation:

D: Art & No PE

Art - Art&PE

300 - 250

50

Answer:

Answer is 50

Step-by-step explanation:

I just did the test on usatestprep

What is the f?
f/5 - (-13) = 12

Answers

Step-by-step explanation:

[tex] \frac{f}{5} - ( - 13) = 12[/tex]

[tex] \frac{f}{5} + 13 = 12[/tex]

[tex] \frac{f}{5} = 12 - 13[/tex]

[tex] \frac{f}{5} = - 1 [/tex]

Now cross multiply

Therefore f = -5

Answer:

f= -5

Step-by-step explanation:

f/5-(-13)=12

remove the parenthesis and replace the negative with a positive.

f/5+13=12

multiply all by 5

f+65=60

move constant to the right

f=60-65

subtract 60 to 65

-----------------

f= -5

-----------------

Thomas wants To find out which sport the entire 8th grade cloth on his school likes best

Answers

Answer:

Ok what are his options?

Step-by-step explanation:

Answer:

Ping Pong

Step-by-step explanation:

dunno

factor completely 36x2 – 1.

Answers

Answer:

(6x - 1)(6x + 1)

Step-by-step explanation:

36x² - 1 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

Thus

36x² - 1

= (6x)² - 1²

= (6x - 1)(6x + 1)

What is the area of the following circle?
Either enter an exact answer in terms of t or use 3.14 for it and enter your answer as a decimal.
r=1

Answers

Answer:

The area is 3.14

Step-by-step explanation:

Get the radius and times it by itself then multiply it by pie and you get 3.14


Mrs. Hanson bought 1.6 pounds of grapes. The grapes cost $2.50 per pound. How much did
she pay for the grapes?

Answers

Answer:

$4.00

Step-by-step explanation:

Multiply the 1.6 pounds of grapes by the $2.50 per pound.

Answer:

4$

Step-by-step explanation:

Multiply 2.50$ with 1.6 pounds.

You get 4$

It won't cost more than 5$ because there are less than 2 pounds of grapes.

Can someone help me out

Answers

Answer:

m= -5/8

Step-by-step explanation:

Slope of a line containing the points,

[tex] \frac{y2 - y1}{x2 - x1} = m[/tex]

where, m is the slope

Here,

[tex]m = \frac{7 - 2}{4 - 12} = \frac{ 5}{ - 8} = \frac{ - 5}{8} [/tex]

The answer is M= -5/8

pls help me give u a brainlest

Answers

Answer:

uhmm. lemme remember how to do that

Answer:

30 in

Step-by-step explanation:

V=Bh

Find the area of the triangle then multiply it by the height of the prism.



A. (7, -2), (4, -1), (3, 0), (4, 1), (7,2)

B. (-2, 1), (-1, 2), (0, 3), (1, 4) (2, 7)

C. (-2, 7), (-1, 4) (0, 3) (1, 4), (2, 7)

D. (1, -2), (2, -1), (3, 0), (4, 1), (7, 2)

Answers

Answer:

the answer is c

all work is pictured

solve for x. 1/15+x=3/10

Answers

Answer:

x=7/30

Step-by-step explanation:

3/10-1/15

Recent statistics state that the average life expectancy for an American is a little over 78 years.
The sentence above refers to
factors that can affect family responsibilities​

Answers

Answer:

189

Step-by-step explanation: cause i had dis question before in england

189 I believe
Step-by-step explanation

Which line segment is a diameter of circle F?

Answers

Answer:

AC

Step-by-step explanation:

We know that a diameter of a circle is any straight line segment that passes through the center of the circle such that whose endpoints lie on the circle. It is also be known as the longest chord of the circle.

In the given figure we can see that only AC and BE are the  line segments that pass through the center of the circle such that whose endpoints lie on the circle.

Answer:

AC

Step-by-step explanation:

Other Questions
Determine the standard cell potential (Ecell0 ) and balanced equation for the voltaic cell:MnO4-(aq)+I-(aq) I2(aq)+ Mn2+(aq)where:MnO4-+5H+(aq)+5e+ Mn2+(aq)+4H2O(l): Ered0 =+1.51V.I2(s)+2e-2I-(aq): Ered0 =+0.54 V.A) 16H+(aq)+2MnO4-(aq)+10I-(aq)5I2(aq)+2Mn2+(aq)+8H2O(l):Ecell0 = -0.97 V.B) 16H+(aq)+2MnO4-(aq)+10I-(aq)5I2(aq)+2Mn2+(aq)+8H2O(l):Ecell0 = -2.05 V.C) 16H+(aq)+2MnO4-(aq)+10I-(aq)5I2(aq)+2Mn2+(aq)+8H2O(l):Ecell0 = +0.97 V.D) 8H+(aq)+2MnO4-(aq)+10I-(aq)5I2(aq)+2Mn2+(aq)+8H2O(l):Ecell0 = +0.97 V. Help please (chemistry homework) Explain how the use of barbed wire was perceived as both positive and negative by Texans.Negative:Positive: What type of government is found in Australia? * Name three ecosystem services provided bybiodiversity. The annual report for Sneer Corporation disclosed that the company declared and paid preferred dividends in the amount of $220,000 in the current year. It also declared and paid dividends on common stock in the amount of $1.80 per share. During the current year, Sneer had 1 million common shares authorized; 420,000 shares had been issued; and 208,000 shares were in treasury stock. The opening balance in Retained Earnings was $780,000 and Net Income for the current year was $280,000.Required:a. Prepare journal entries to record the declaration, and payment, of dividends on (a) preferred and (b) common stock. Lucas is planning to buy a house owned by Janet. He gives her an initial amount of $10,000 to hold the offer open for a 45-day period. Janet will deduct the $10,000 from the purchase price if Lucas purchases the property within those 45 days. If he does not, Janet can keep the $10,000 and offer the house to another party. Which of the following contracts does this scenario best illustrate?A. Option contractB. Void contractC. Implied contractD. Executed contract What are the three basic patterns of physical development An avant- garde clothing manufacturer runs a series of high- profile, risque ads on a billboard on Highway 101 and regularly collects protest calls from people who are offended by them. The company has no idea how many people in total see the ads, but it has been collecting statistics on the number of phone calls from irate viewers:Type Description Number of ComplaintsR Offensive racially/ ethnically 10M Demeaning to men 4W Demeaning to women 14I Ad is incomprehensible 6O Other 2a) Depict this data with a Pareto chart. Also depict the cumula-tive complaint line.b) What percent of the total complaints can be attributed to the most prevalent complaint? What was the long term impact. The Punic wars Muslims Believe that the prophet of Islam is.____ Which of the following are steps, in order, between arrest to verdict?A. Arraignment, jury selection, opening statements, examinations, summations, jury instruction, deliberations.B. Summation, opening statement, preliminary hearing, jury selection, examinations, jury instructions, arraignment.C. Deliberations, arraignment, preliminary hearing, opening statements, examinations, jury selection, jury instruction.D. Preliminary hearing, arraignment, jury selection, jury instructions, summation, examinations, deliberations. average cost retail method to estimate inventories. Data for the first six months of 2021 include: beginning inventory at cost and retail were $64,500 and $123,000, net purchases at cost and retail were $315,000 and $483,000, and sales during the first six months totaled $493,000. The estimated inventory at June 30, 2021, would be: Circle O is shown. Secant K L intersects tangent K J at point K outside of the circle. Tangent K J intersects circle O at point M. Secant K L intersects the circle at point N. The measure of arc M N is 62 degrees. The measure of arc M L is 138 degrees.Shondra wants to find the measure of angle JKL. Her work is started. What is the measure of angle JKL?mJKL = One-half (138 62)mJKL = In 2019, Jasmine and Thomas, a married couple, had taxable income of $150,000. If they were to file separate tax returns, Jasmine would have reported taxable income of $140,000 and Thomas would have reported taxable income of $10,000. Use Tax Rate How does the gas exchange system in fishes work? Find the value of x in the triangle shown below. What is the slope of (2,6) (-3,-7) If h = 18 units and r = 8 units, then what is the volume of the cone shown above? A. B. C. D. How many moles of NH3 are required to produce 12 moles of NH4Cl