The 3rd term of an arithinetic progression is-9
and the 7th term is -29. Find the 10th term of the
progression.​

Answers

Answer 1

Answer:

-64

Step-by-step explanation:

The computation of the 10th term of the progression is shown below:

The 3rd term is -9

A_n = a + (n - 1)d

-9 = a + (3 - 1)d

-9 = a + 2d

-9 - 2d = a

Now the 7th term is -29

A_n = a + (n - 1)d

-29 = a + (7 - 1)d

-29 = a + 6d

Put the a value to the above equation

-29 = -9 - 2d + 6d

-29 + 9 = 4d

-20 = 4d

d = -5

Now

-9 - 2d = a

-9 - 2(-5) = a

-9 - 10 = a

a = -19

Now finally the 10th term of the progression is

= a + (n - 1)d

= -19 + (10- 1)-5

= -19 -45

= -64


Related Questions

How many terms does the expression m/5+ 4 x 6 have?

Answers

m/5 + 4 x 6

(m/5) 1
(4) 2
(6) 3

The expression has 3 terms

The number of terms in the expression m/5+ 4 x 6  are three.

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression is m/5+ 4 x 6

m by five plus four multiplied with six

In the given expression plus divide and multiplication are the operators

m is the variable

m/5 is the first term

four is the second term

six is the third term

There are three terms in the expression.

Hence, the number of terms in the expression are three.

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ2

Whats 6 1/2 - 5 5/6 plz help thx

Answers

Answer:

2/3

Step-by-step explanation:

1/2 = 3/6

6 - 5 = 1

1 3/6 - 5/6 = 4/6

4/6 = 2/3

Hope this helped! Have a nice day! Plz mark as brainliest!!!

-XxDeathshotxX

Answer:

Answer is -1.666

Step-by-step explanation:

6*1/2=3

5*5/6=4.1666

Which coupon is a better deal? 15℅ off of $75 shoes or $15 off of $75 shoes? Please show your work

Answers

Answer:

15 dollars off of 75 is better

Step-by-step explanation:

75 multiplied by 1.5 is only 11 dollars

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:12.5

Step-by-step explanation:if its 2.5 for evry 2 units and the glass is 10 units you time and 2 * 5 is 10 and .5 * 5 is 2.5

Help! I need help with finding the value of x.

Answers

Answer:

x = 18.64

Step-by-step explanation:

use tan:

⇒ tan = [tex]\frac{opposite}{adjacent}[/tex]

⇒ tan 46 = [tex]\frac{18}{x}[/tex]

tan of 46 is 1.0355

⇒ 1.0356 = [tex]\frac{18}{x}[/tex]

multiply 18 on both sides

⇒ 1.0355 x 18 = [tex]\frac{18}{x}[/tex] x 18

⇒ 18.64 = x

378cm=3m 78cm=
802.6cm=6km 740m=

Answers

Answer:378

Step-by-step explanation:

Julie manages a franchise restaurant and is analyzing the tips left at her location. From corporate informational material, she knows the overall
population mean is $6.85 with a standard deviation of $1.25. Julie has a sample of 180 tips for her franchise. By the central limit theorem, which
interval can Julie be 95% certain that the sample mean will fall within?
OA. $6.76 and $6.94
O B. $6.57 and $7.13
OC. $6.66 and $7.04
OD. $6.83 and $6.87

Answers

Answer:

$6.66 and $7.04

Step-by-step explanation:

I got it right

The $6.76 and $6.94 is the interval Julie can be 95% certain that the sample means will fall within option (A) is correct.

What is the standard deviation?

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

[tex]\rm \sigma = \sqrt{\dfrac{ \sum (x_i-X)}{n}[/tex]

σ is the standard deviation

xi is each value from the data set

X is the mean of the data set

n is the number of observations in the data set.

From the central limit theorem:

σ(x) = σ/√n

The standard deviation σ = $1.25

The sample n = 180

σ(x) = 1.25/√180

σ(x) = 1.25/√1801

σ(x) = 0.0931

The lower limit = 6.85 - 0.0931 = 6.756 = 6.76

The upper limit = 6.85 - 0.0931 = 6.943 = 6.94

Thus, the $6.76 and $6.94 is the interval Julie can be 95% certain that the sample means will fall within option (A) is correct.

Learn more about the standard deviation here:

brainly.com/question/12402189

#SPJ2

The mean of five numbers is 4.
The five numbers are 1, 3,5,2 and x.
Find x.

Answers

Answer:

9

Step-by-step explanation:

In Order to gain the mean you would follow the formula:

Total Sum of all Numbers added together / Amount of integers.

In this case, you have 5 numbers 1, 3 , 5 , 2 , x .

I know that the overall sum of all your integers added together must equal 20, as 20 / 5 = 4.

1 + 3 + 5 + 2 = 11.

Therefore x must be 9.

1 + 3 + 5 + 2 + 9 = 20

20 / 5 = 4.

Hope this helps and mark as brainilest if found useful.

It’s 9 I hope this helps u

Please I need help it’s an emergency

Answers

Answer:

option B is your correct answer

I think The answer is B

y = x^2 + 6x + 4

Find the vertex
And please explain how I don't understand.

Answers

Answer:

(-3, -5) This is my answer I hope it helps

ooooooooooook
hihihih

Answers

Answer:

hi how r u today my stranger

Answer:

D-Dipper/////

Step-by-step explanation:

three consecutive odd integers add up to -3​

Answers

Answer:

The investors are: -3, -1 and 1

Step-by-step explanation:

Given

Three consecutive odd numbers

[tex]Sum = -3[/tex]

Required: Determine the odd numbers

Let the smallest be x. So, the other 2 are: x + 2 and x + 4.

The sum is then:

[tex]Sum = x + x + 2 + x +4[/tex]

[tex]Sum = 3x +6[/tex]

[tex]3x +6 = -3[/tex]

Collect Like Terms

[tex]3x = -3-6[/tex]

[tex]3x = -9[/tex]

[tex]x=-3[/tex]

The other two are:

[tex]x + 2 = -3 + 2 = -1[/tex]

[tex]x + 4 = -3 + 4 = 1[/tex]

Hence, the investors are: -3, -1 and 1

•) Zeeshaan bought 12 kilograms of wheat seeds and 18 kilograms of rice seeds. How many kilograms of seeds did he buy ?​

Answers

30 seeds because 12+18=30

If f(x) = 3x – 4 and g(x) = x, find the value of f(3) – g(2).

Answers

Answer:

3

Step-by-step explanation:

f(3) = 3(3)-4

f(3)= 9-4

f(3) = 5

g(2) = (2)

g(2) = 2

f(3)-g(2) = ?

(5) - (2) = ?

(5) - (2) = 3

Select the procedure that can be used to show the converse of the
Pythagorean theorem using side lengths chosen from 5 cm, 9 cm, 12 cm, and
15 cm.
O A. Knowing that 92 + 122 + 152draw the 5 cm side and the 9 cm side
with a right angle between them. The 15 cm side will fit to form a
right triangle
B. Knowing that 52 + 92 < 122 draw the 5 cm side and the 9 cm side
with a right angle between them. The 12 cm side will fit to form a
right triangle
C. Knowing that 92 + 122 = 152, draw the 9 cm side and the 12 cm
side with a right angle between them. The 15 cm side will fit to
form a right triangle.
D. Knowing that 92 + 122 = 1), draw any two of the sides with a right
angle between them. The third side will fit to form a right triangle.

Answers

Answer:it is C

Step-by-step explanation:

The graph shows a proportional relationship. Which equation matches the graph?

A. y = 1/5x

B. y = x

C. y = 15x

D. y = 5x​

Answers

D y=5x because the slope is 5/1 but to simplify it it can just be 5

Find the measure of 43.
43
77
<3 = [?]
Enter

Answers

Answer:

<3 = 77⁰

Step-by-step explanation:

Since 77⁰ and <3 are interior angles, angles inside the parallel line are in the same. This means that <3 will be 77⁰.

Hope this helps and stay safe, happy, and healthy, thank you :) !!

?=103°

Answer:

<3+77=180 co interior angle

<7=180-77=103°

Can someone help me plz

Answers

njjjwer:

jajajajaj

Step-by-step explanation:

yes

Convert 65 millimeters to centimeters
Pls help me on this question

Answers

Answer:

Its 6.5

Step-by-step explanation:

a. vertical angles
b. complementary angle
c. supplementary angle
d. none of the above

Answers

Answer:

C) supplementary angles

Step-by-step explanation:

C) supplementary angles

They add up to 180.

which of the following statements is true?

Answers

Answer:

i think its b

Step-by-step explanation:

Answer:

jjjjjk

Step-by-step explanation:

Sammy makes $2,362/month as a baseball coach. He is making a budget, and has created the following chart in order to divide his monthly paycheck into his various accounts:

Answers

$2362
Sammy has included a total row to help make sure that his paycheck can be divided to make deposits into these 4

Answer:

B

Step-by-step explanation:

B

$5,136; approximately 24 months.

I got 100% on Edg.

A square is inscribed in a circle as shown. If the side length of the square is 16 feet, calculate the area of the shaded region to the nearest tenth.

Answers

Answer:

probably 145.15ft^2 but who really knows good luck

Step-by-step explanation:

we're gonna have to find the area of the square and circle and then subtract the square area to see the remaining shaded area's value. if the square has side of length 16 then we know it's area is 16ftx16ft=256ft^2. Now the area of the circle requires us to know its radius. we see the diagonal dashed line travels the diameter of the circle. you can use pythagoras theorem to find its length so sqrt(16^2+16^2)=22.63ft. but this is diameter and we want radius so 22.63/2=11.3ft. the formula for the area of a circle is pi*r^2 so pi*11.3^2=401.15ft^2. now we can say 401.15-256=145.15ft^2

20. What is the equation of the line that passes through the points (-2, 2) and (0,5)?
A. y = -3/2x + 5
B. y = 3/2x + 5
C. y = x-5
D. y = x + 5

Answers

B
Slope=(y2-y1)/(x2-x1)
Slope=(5-2)/(0- -2)
Slope=3/2

PLEASE HELP! What is the mean of the data represented by this normal distribution?

Answers

to find the mean, you add up all the numbers and divide by the number of numbers in the sequence
28+42+56+70+84+98+112
=490 divide by 7
=70

Use Heron's Area Formula to find the area of the triangle. (Round your answer to two decimal places.) A = 79°, b = 77, c = 43

Answers

Answer:

1549.5

Step-by-step explanation:

Hello There!

Heron's area formula is

[tex]A=\frac{(a)(b)sin(c)}{2}[/tex]

all we have to do is plug in the values

so

[tex]A=\frac{77*41sin79}{2} \\77*41=3157\\3157sin79=3098.997018\\\frac{3098.997018}{2} =1549.498509[/tex]

so the area of the triangle is 1549.498509

our final step is to round to the nearest hundredth

the answer would be 1549.5

Answer:

1610.289units²

Step-by-step explanation:

a=79

b=77

c=43

s=(79+77+43)/2=99.5

by using heron's formula

area of triangle=√{s(s-a)(s-b)(s-c)}

=√{99.5(99.5-79)(99.5-77)(99.5-43)} =1610.289units²


The age of a man is twice the sum of the ages of his two sons. Ten years ago, his age was five times
the sum of their ages. Find his present age.
a) 40 years
b) 50 years
c) 60 years
d) 70 years​

Answers

Answer:

suppose: the age of the man now is x

the sum of the ages of his two sons now is y

(x, y > 0, x, y € N)

so the age of the man 10 years ago is x - 10

the sum of the ages of his 2 sons ten years ago is

y - 20

because now, The age of a man is twice the sum of the ages of his two sons => x = 2y

because Ten years ago, his age was five times

the sum of their ages

=> x - 10 = 5( y - 20)

<=> x - 10 = 5y - 100

<=> 2x - 20 = 10y - 200

<=> 2x = 2y.5 - 180

but x = 2y => 2x = 5x - 180

<=> 3x = 180

<=> x = 60

=> his present age is 60

The volume of a cylinder is 8478 cubic inches and the radius is 15 inches which measurement is closest to the height of the cylinder
in inches

Answers

Answer:

90 inches

Step-by-step explanation:

hope it may help u I am sure about the ans

if possible mark me brainlist

Pls help this is due today! Find the m

Answers

Answer:

[tex]m<LMJ = 86[/tex]

Step-by-step explanation:

1. Approach

First, use the sum of angles in a quadrilateral theorem to find the value of the parameter ([tex]x[/tex]). This theorem states that the sum of all angle measures in a quadrilateral is ([tex]360[/tex]). After finding the value of ([tex]x[/tex]), substitute it back into the given value for the ([tex]m<LMJ[/tex]), and solve.

2. Finding ([tex]x[/tex])

Remember, the sum of angle measures in any quadrilateral is 360 degrees, regardless of the quadrilateral type.

Using this knowledge, one can apply it by saying;

[tex]m<K + m<J + m<M + m<L = 360[/tex]

Substitution,

[tex](93) + (76) + (11x-2) + (14x - 7) = 360[/tex]

Combine like terms;

[tex]160 + 25x = 360[/tex]

Inverse operations;

[tex]160 + 25x = 360\\-160\\\\25x = 200\\/25\\\\x = 8[/tex]

3. Finding ([tex]m<LMJ[/tex])

Substitute back in to find the [tex]m<LMJ[/tex]

[tex]11x - 2\\\\x=8\\\\11(8) - 2\\\\88 - 2\\\\86[/tex]

Answer:

m∠M = 86

Step-by-step explanation:

the angles of a quadrilateral equal 360°, adding ∠K and ∠J together we get 169°.

360 - 169 = 191, meaning ∠L and ∠M have to add up to 191.

substitute the values of ∠L and ∠M to make the equation

14x -7 + 11x -2 = 191

combine like terms 14x + 11x and -2 - 7 to get 25x -9 =191

now solve for the value of x by first adding 9 to both sides and then dividing each side by 25 like so:

25x -9 = 191          →      25x = 200    →      25x = 200    → x = 8

     +9     +9                                              /25     /25    

Now put the value of x into the equation for angle M like this:

11(8) -2 = M    and solve, 11×8 = 88, 88 -2 = 86, so the measure of ∠M is 86

   

Simplify.

4a(6) + 3a

24 a2 + 3 a
13 a
27 a
27 a2

Answers

Answer:

24a + 3a

27a

we didn't multiply a since it is addition so it can not be a²

please give brainiest

Answer:

27a

Step-by-step explanation:

Just distribute. First multiply 4 times 6 which would be 24a. 24a+3a would then be 27a ;)

Other Questions
Pls hurry!!Which played an important part in the civil rights movement?O Rosa Parks leading a march on BirminghamO riots in Watts, Detroit, and NewarkO Freedom Rides to Washington, D.C.O a march from Little Rock to Montgomery The IBM system/370 architecture uses a two-level memory structure and refers to the two levels as segments and pages, although the segmentation approach lacks many of the features described in Chapter 8. For the basic 370 architecture, the page size may be either 2 KB or 4 KB, and the segment size is fixed at either 64 KB or 1 MB. For the 370/XA and 370/ESA architectures, the page size is 4 KB and the segment size is 1 MB. What advantages of segmentation does this scheme lack Which term means to cancel something? A. repeal B. repeat C. reform D. renew Respiration is a complicated process broken into several steps, but only two reactants are used up in thereaction and only three molecules are produced, Identify the reactants and products and describe the steps inwhich they are used or produced. investigates the body's structure, whereas investigates the processes or functions of living things Why did Germany have a difficult time in ww1 A mattress 39 inches wide80 inches long 11 inches high. How many will fit in a 30 yard dumpster at 8 feet wide 22 feet long 6 feet high. It holds 30 cubic yards of waste. Find the solution of the system of equations.-3x + 10y = 2- 3x + 3y = 9 The Asian High Dam was originally created to prevent the Nile river's flooding, generateelectricity and provide water for agriculture. However, due to this change in the Nile, which ofthe following problems has occurred? A triangle was translated 4 units down.In the graph, which figure is the pre-image and whichfigure is the image?O AFGH is the image and A ABC is the pre-imageAFGH is the pre-image and AABC is the image.Both triangles are images.The image cannot be determined from the graph. Please help me and make sure to cite your sources.Your assignment for this mini-research project is to gather information on the White Mans Burden. What was it? Who was a part of it? What were their motivations? Write a paragraph of at least 150 words comparing the motives of those involved to the motives of Mr. Bedford as he imagines himself starting a business on the moon. All of your sources should be correctly cited, using the MLA format for in-text citations and providing a Works Cited page.(If u do not cite your sources in the answer pls do in a comment below that or your answer will probably be taken off.)(Btw do not use anyone else answer from another question, do not get the answer from a website that people ask questons and other people answer, please do all these things right and you will get brainlyest.) A type of fish for your aquarium costs $7 each. You can spend at most $56. How many of these fish can you buy? Write an inequality to model the problem. Then solve the inequality to find the number of fish.Over the next 13 months you have to read more than 65 books. You have to read x books per month. The inequality 13x>68represents this situation. Solve the inequality to find the number of books you have to read per month. As dancers twirl faster and faster around their partners, they are demonstrating what type of energy?A. Binding energy,B. Nuclear energy,C. Kinetic energy, Evaluate: 12 + 4 x (11 - 6) = The diagram provided is a phylogenetic tree. It shows how groups of organisms are related through a shared evolutionary history.The fossils remains of a creature that is the common ancestor of amphibians, primates, rodents, crocodiles, and birds is discovered. This fossil represents an organism represented by which labeled location on the diagram? What was one effect on these events Solve the problem 8 - 2 9/14= A2 year old boy was brought to the emergency department by his mother for oozing blood from his mouth following a fall neatly 6 hours ago. His mother related that he tended to bleed for prolonged periods from his immunization sites, but there was no history of bruising or hematomas The patient was on antibiotics for a recent car infection. There was no known family history of a bleeding disorder Can someone give me a review on thisAustin MI named a poem after you Thought it would help the healing Start the stopping Of all the pain I feel Its been three years, maybe four I'm so full of regret, nostalgia, agony But you've blocked me out and moved on from All the things you did to me All the things I did to you I guess I'm stuckI blame myself for what I should have said Would have done Could have been...better No words could bring you back into my life No gestures could overcome the chasm I crafted No pleading would open your heart to me No sacrifice can undo my mistakes I'm hopeful we could reconnect someday I have no reason to hope I think it keeps me sane Helps me cope with the errors I made as a teenagerI threw you away, didn't I? I run the words "I'm sorry" over my lips Across the folds of my brain and to my fingersThere's so much depth to those words for me Yet if they ever reached you they'd never be enough The more time that passes the more I miss you I could have saved our friendship years ago But now you're truly gone If I tried to contact you I'd be a stalker Creepy, restraining order worthyYou'd block me immediately anywayMy words will never reach you. Which statement from the passage is the best evidence of Phillips and Lederer's relationship as of 2002? A. " 'Dear Abby' and 'Ann Landers' were both known by their millions of daily readers for their quick wit and sage wisdom." B. " 'Dear Abby' has been in publication for more than 50 years and still read daily by more than 110 million people." C. "Although they publicly reconciled in 1964, it is said the bitter rivalry continued behind closed doors for decades." D. "Lederer's daughter, Margo Howard, said the women had not been in contact for years, and she believes Phillips just wrote the tribute for money."I NEED YOUR HELP 35 POINTS PLEASE DO NOT TELL ME THE WRONG ANSWER ITS MY LAST QUESTION