An arithmetic sequence has second term 28 and the fifth term 52. (3 marks) a. Find u1 and d. b. Find u10

Answers

Answer 1

Answer: See explanation

Step-by-step explanation:

Second term = a + d = 28 ....... i

Fifth term = a + 4d = 52 ......... ii

Subtract equation I from ii

3d = 24

d = 24/3 = 8

d = common difference = 8

Since a + d = 28

a + 8 = 28

a = 28 - 8 = 20

First term = a = 20

u10 = a + (n-1)d

= a + (10-1)8

= 20 + (9 × 8)

= 20 + 72

= 92


Related Questions

Rewrite the equation y – 4x = –9 in slope-intercept form. simple explanation and proof

Answers

Answer:

y=4x-9

Step-by-step explanation:

add 4x to both sides to isolate y

Answer:

The slope-intercept form of this equation would be y = 4x - 9.

(For explanation look down below)  

Step-by-step explanation:

Slope-intercept form would be an equation that would look like...

y = mx + b

Where m is the slope and b is the intercept. From this form, we can understand that all we need to do is rearange the formula in a way that positive y would be on its left side. And so we get...

y - 4x = - 9

y - 4x + 4x = - 9 + 4x

y = 4x - 9

Jennifer has 4 pizzas that she cuts into eights. How many 1/8 size pieces does she have? please help mark you branlyest!!

Answers

Answer:

32

Step-by-step explanation:

4/1 / 1/8=32 :)

I believe the answer would be 32

There’s 8 1/8 size pieces for 1 pizza so if you multiply 8 by 4 you’d get 32

Photos fast charges a fee of $2.50 plus $0.05 for each picture developed. Photos quick charges a fee of $3.70 plus $0.03 for each picture developed. for how many will the total cost be the same at each shop?

Answers

0.03x+0.08< 2.50 hope its right

The total cost will cost be the same at each shop for 60 pictures.

What is word problem?

Word problems are often described verbally as instances where a problem exists and one or more questions are posed, the solutions to which can be found by applying mathematical operations to the numerical information provided in the problem statement.

Let for x number of picture, the total cost will cost be the same at each shop.

Total cost of x number of picture on Photos fast shop = $ (2.50 + 0.05x)

Total cost of x number of picture on Photos quick shop =  $ (3.70 + 0.03x)

according to the question:

(2.50 + 0.05x) = (3.70 + 0.03x)

0.05x - 0.03x = 3.70 - 2.50

0.02x = 1.20

x = 1.20 ÷ 0.02

x = 60

Hence, for 60 number of picture, the total cost will cost be the same at each shop.

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Write the following inequality in slope-intercept form. –12x – 2y ≥ –42 y ≥ –6x – 21 y ≤ –6x – 21 y ≤ –6x + 21 y ≥ –6x + 21

Answers

Answer:

y ≤ –6x + 21

Step-by-step explanation:

Lana and Andrew gather data by surveying their classmates. Lana asked them about the longest time they had ever run. Andrew asked them about their favorite color.


How could Lana and Andrew represent their data?


Would they represent them in the same way?


Why or why not?

Answers

Answer:

No because Andrew aske them being different to Lana an far over.

Combine any like terms in the expression. If there are no like terms, rewrite the expression.
7j2 + 3j2 + j?

Answers

Answer:

10j^2 +j

Step-by-step explanation:

I added the first two terms since they have the same exponent and then left the j because its not squared or anything

HELP ANSWER FAST!!!!

Answers

D = -2, -1, 3, 5
R = -7, 0, 4
Function? Yes

Find the 75th term of the Arithmetic Sequence 15,11,7,3...

Answers

Answer:

-281

Step-by-step explanation:

Use the explicit formula

[tex]a_{n} = a_{1} + (n-1)d\\a_{n} = 15 + (n-1)(-4)\\a_{75} = 15 + (75-1)(-4)\\a_{75} = 15 - 300 + 4\\a_{75} = -281[/tex]

The temperature ws 56 degrees this morning but dropped one degree per hour through
the rest of the day. Write an equation in slope intercept form to represent the situation.
O y = 5.50x + 20
O None of the other answers are correct
O y = 65x
O y = 60x + 300
O y = -x + 56

Answers

Answer:

y=-x+56

Step-by-step explanation:

A linear equation is an equation in which each term has at max one degree. The correct option is D, y = -x + 56.

What is a linear equation?

A linear equation is an equation in which each term has at max one degree. Linear equations in variables x and y can be written in the form,

y = mx + c

Linear equation with two variables, when graphed on the cartesian plane with axes of those variables, give a straight line.

Given that the temperature was 56 degrees this morning but dropped one degree per hour through the rest of the day. Therefore, an equation in slope intercept form to represent the temperature of the day at any given hour is,

y = 56 - x

y = -x + 56

Hence, the equation in slope intercept form to represent the temperature of the day at any given hour is y = -x + 56.

Learn more about Linear equations:

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Find the midpoint of a and b when a has coordinates (-5,3) and b has coordinates (3,-1)

Answers

To find the x coordinate of the midpoint, add the x coordinates and divide by 2
(-5+3)/2 = -2/2 = -1
To find the y coordinate of the midpoint, add the y coordinates and divide by 2
(3+-1)/2 = 2/2 = 1
(-1,1)

Answer:

(-1,1)

Step-by-step explanation:

To find the x coordinate of the midpoint, add the x coordinates and divide by 2

(-5+3)/2 = -2/2 = -1

To find the y coordinate of the midpoint, add the y coordinates and divide by 2

(3+-1)/2 = 2/2 = 1

(-1,1)

make ,me as brainlist

Prove one pair of opposite sides are congruent and parallel

Answers

Answer:

AB PARALLEL TO DC AND AD WITH BC

Solve for a
djəН
12
a =
✓ [?]
10
a
Pythagorean Theorem: a2 + b2 = c2
Enter

Answers

Answer:

a=[tex]\sqrt{44}[/tex]

Step-by-step explanation:

A^2+B^2=C^2

Substitute the values for what you know so:

a^2+10^2=12^2

Simplify:

a^2+100=144

-100         -100

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

A^2=44

A=[tex]\sqrt{44}[/tex]

-4.368 - 3.86 And also 16.37 + (-29.786)

Answers

Answer:

-8.228 and -13.416

Step-by-step explanation:

math

If the radius of the glass container is 2 inches and the height is 3 inches, how much wax will she need to fill the container?

Answers

Answer:

ans is 5 container

Step-by-step explanation:

because 3+2=5

and in my first class is seen the answer

She needs to fill 12 cubic inches of wax in the container.

What is volume?

The volume of a thing is the area that it takes up in three dimensions. Simply put, objects occupy space.

Given, the radius of the glass container is 2 inches and height is 3 inches.

To fill the maximum wax in the glass container,

we will find the volume of glass container.

Volume of glass container

= Volume of cylinder.

=  π r² h

=  π(2)² (3)

=  π 4 x 3

= 12π  cubic inches.

Therefore, 12 cubic inches of wax she needs to fill.

To learn more about the volume;

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6 74/500 as a decimal (giving another chance for brainliest)

Answers

Answer:

6.148

Step-by-step explanation:

Calculate the values of angles A and C of triangle ABC, where b =17.23cm,c=10.86cm and B=10 1 degree 15

Answers

Answer:

C = 38.18°;  A = 40.57°

Step-by-step explanation:

B = 101' 15"

B = 101° + (15/60) = 101 + 0.25 = 101.25°

b =17.23cm,c=10.86cm

From Sine rule :

c/ sin C = b / Sin B

10.86 / sin C = 17.23 / sin 101.25

SinC = (sin 101.25 * 10.86) / 17.23

Sin C = 10.651328 / 17.23

Sin C = 0.6181850

C = Sin^-1(0.6181850)

C = 38.183716

C = 38.18°

Sum of angles in a triangle = 180°

A +  B + C = 180°

A + 101.25° + 38.18° = 180°

A = (180 - (101.25 + 38.18))

A = 40.57°

The eighth-grade class is planning a trip to Washington, D.C. this spring. They need a minimum of

75 people to attend in order to reserve buses. If one-third of the 8th-grade class plus 17 parent

chaperones have signed up and this is enough to satisfy the requirement, how many students must

be in the 8th-grade class?




Pls answer with an equation

Answers

Answer:

There needs to be 174 Students in the 8th grade class.

Step-by-step explanation:

173(1/3) is 58

58+17=75

Hue is arranging chairs. She can form 2 rows of a given length with 4 chairs left over, or 9 rows of that
same length if she gets 10 more chairs. Complete the equation and solve it to find how many chairs are in
that row length. In your equation, use the variable x to represent the number of chairs in each row.
The equation is
There are
chairs in each row.

Answers

Answer:

9x-10= 2x+4

x=2

Step-by-step explanation:

Expand- 2.5( - 3+ 4n + 8)

Answers

Answer:

10n + 12.5

Step-by-step explanation:

in a unit circle, what is the relationship between arc length and central angle?

Answers

Answer:

The measure of an arc refers to the arc length divided by the radius if the circle. The arc measure equals the corresponding central angle measure, in radians.

PLZ HELPP REWARD BRIANLIEST

Answers

Answer:

x = 3 x = -4

x = 1 x = 8

Step-by-step explanation:

x² + x - 12

(x + 4) (x - 3)

x + 4 = 0

x = - 4

-----------

x - 3 = 0

x = 3

x² - 9x + 8

(x - 8) (x - 1)

x - 8 = 0

x = 8

-----------

x - 1 = 0

x = 1

What is greater 100,000 cm or 1 mi PLEASE HELLP AND PLEASE SHOW YOUR WORK QUICK

Answers

Answer:

yeah 100,000 cm is greater

Step-by-step explanation:

3. Use distributive property to simplify
a. (-6) * [(-12) + (25)]
C. (+6) * [(-17) + (+28)]
e. (+7) * [(-12) – (+6)]
Solve this answer with solution please ​

Answers

Answer:

see the answers

Step-by-step explanation:

to understand thisyou need to know about:PEMDAStips and formulas:

orders of PEMDAS:

parenthesesexponentmultiplication ordivisionaddition orsubstractionleft to rightlet's solve:

a)

remove first parentheses and add: -6×[-12+26] =-6×[14]remove third parentheses and multiply:-6×14=-84

c)

remove first parentheses and add:(6)×[-17+28]=6×[11]remove third parentheses and multiply: 6×11=66

e)

remove first parentheses and substract:7×[-12-(6)]=7×[-12+(-6)]=7×[-18] multiply:7×[-18]=-126

what is the least integer greater than -3.7

Answers

Answer:

-3

Step-by-step explanation:

An integer is a number that is a whole number (not a fraction). So, the least integer that is greater than -3.7, is -3.

I hope this helps!

I NEED HELP AGAIN 6.0

Answers

Answer:

(-3,2) (-2,4)

Step-by-step explanation:

Origin to (-3,2)

Other dot (-2,4)

geometry: help needed, it’s urgent!
angle 1 measures 75 degrees, is this table right?

Answers

Answer:

angle 1 and 3 are alternate INTERIOR angles cos they are on the inside of the lines but you were close

Allison sells apples at the market. On a given day, the ratio of red delicious to Macintoshes to granny smiths sold is 4:3:2. If her truck can carry 180 bushels of apples, how many bushels of granny smiths should she include? *

Answers

Answer:

40

Step-by-step explanation:

80+60+40=180

There is 20 more of each type of apple

Mr. R had $120,000 in a retirement account. The account paid 4.25% interest rate. How much money was in the account at the end of 10 years?

Answers

Answer:

R.s 51000

Step-by-step explanation:

I= PTR/100

=120000×10×4.25/100

=51000

hence ,

interest rate is R.s 51000

Find the solution set of the inequality

8x - 8 ≤ -72

Answers

The answer is inequality is x< -8 u see for the right next to -72 the pattern like that I don’t have it so the less than has the under line

Answer:

x ≤ -8

Step-by-step explanation:

8x-8  ≤ -72

   +8     +8

8x ≤ -64

divide by 8

8x/8 ≤ -64/8

x ≤ -8

Someone help please!



X+3y=-7 5x+6y=-8​

Answers

Step-by-step explanation:

I have used substitution method here to find the value of x and y.

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