The first term of a sequence is 35 and the difference between the terms is always 8. a) Determine the nth term of the sequence.

Answers

Answer 1

Answer:

             aₙ = 8n + 27

Step-by-step explanation:

[tex]a_1=35\\d=8\\\\a_n=a_1+d(n-1)\\\\a_n=35+8(n-1)\\a_n=35+8n-8\\a_n=8n+27[/tex]


Related Questions

i need help with this

Answers

Answer:

1. -9

2. -2

3. -3

4. 2 (positive)

Step-by-step explanation:

positive + negative= positive

negative + positive =negative

positive +positive =positive

negative +negative =negative

hope you like it ( ' - ' )

1
4
a +
1
3
a + 8 = 22

Answers

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

a=14/27

Decimal Form:

a=0.¯¯¯¯¯¯518

Step-by-step explanation:

There exists a similarity transformation that maps ABC to A'B'C. The measure of the measure of

Answers

Answer:

Step-by-step explanation:               For any triangle, the angles add to 180 degrees

A+B+C = 180

68+46+C = 180

114+C = 180

C+114 = 180

C+114-114 = 180-114

C = 66

Angle C is 66 degrees

Angle C' is 66 degrees

The triangles ABC and A'B'C' are similar, so angle C = angle C'

At the season finale, you present the winner of Canadian Superstar with a recording-and-tour contract. The contract states that the winner will be paid $5000 per month while on tour plus $2 per CD sold. Rn Did You Know? A) Vrite an equation that relates total earnings in terms of the number of months, m, on tour and the number, n, of CDs sold. In March 2003, Dark Side of the Moon, by Pink Floyd, achieved double diamond status in Canada for selling over 2000000 units. B) How much will the winner earn after the first month if 500 CDs are sold? C) Suppose after the third month on tour the new recording artist has earned a total of $74 000. How many GDs were sold? D) In Canada, a record album or CD achieves gold status once it seLls 50 000 units. How much will the artist make if the CD goes gold after 6 months of touring?

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Winner is paid :

Monthly pay while on tour = $5000

Pay per CD sold =. $2

A) Equation which relates total earning in terms of number of months 'm' while on tour and the number 'n' of CD's sold.

(Monthly pay * number of months) + (pay per CD * number of CD's)

Earning = 5000m + 2n

B) How much will the winner earn after the first month if 500 CDs are sold?

m = 1, n = 500

5000(1) + 2(500) = $6000

C) Suppose after the third month on tour the new recording artist has earned a total of $74 000. How many GDs were sold?

m = 3

74000 = 5000(3) + 2n

74000 = 15000 + 2n

74000 - 15000 = 2n

59000 = 2n

n = 59000 / 2

n = 29500 CD's

D) In Canada, a record album or CD achieves gold status once it seLls 50 000 units. How much will the artist make if the CD goes gold after 6 months of touring?

n = Gold = 50000 ; m = 6

5000(6) + 2(50000)

30000 + 100000 = 130,000

Two similar solids are shown A and B
A=3cm B=6cm
Solid A has a volume of 60cm cubed
Work out the volume of solid B

Answers

Answer:

120 cm³

Step-by-step explanation:

this is a ratio and proportion of two similar solids

vol A = 60 cm³ and A = 3cm

vol B = ?            and B = 6 cm

 60    =    3  

 B              6

do cross multiply:

3B = 60(6)

B = 120 cm³

therefore, the vo. of B is 120 cm³

What is X? −7x−8= -10x+4

Answers

Answer: x=4

-7x-8=-10x+4

+8 +8

-7x=-10x+12

+10x +10x

3x=12

3x/3=12/3

X=4

how do i do this
10 x 10 x 10 =
10 squared =
10 6

Answers

Answer:

Well 10 to the 6th power right?

Step-by-step explanation:

well u multiply 10x10x10x10x10x10

1000000

im sorry if this is not correct im sorry if its not 10 to the 6th power ;ccc

1000000 that is your answer

Will give BRAINLIEST if it’s correct pls explain why rol

Answers

she’s serving 20% I know this because there are 5 pieces cut evenly! so 100 divided by 5 is 20.

Answer:

think of the pie as 100, each slice is worth 20 so she served 20% of the pie.

Step-by-step explanation:

Which graph shows a system with no solutions? Graph A Graph B Graph C y= 2r-1 2y 4x-2 A. Graph C OB. Graph B C. Graph A​

Answers

Answer:

graph b

Step-by-step explanation:

Pls halp due today thank you!

Answers

Answer:

k

Step-by-step explanation:

Slope = -8/1
Y-Intercept = (0,4)
Equation = y=-8+4

Pls answer for brainliest!

Answers

Answer:

h<2

Step-by-step explanation:

5×2h+5×8<60

10h+40<60

10h<60-40

10h<20

10. 10

h<2

Answer:

Step-by-step explanation:

5(2h + 8) < 60

10h + 40 < 60

10h < 30

h < 3

Order these in descending order (greatest to least). 1 is the greatest. 2 is the middle. 3 is the least.

Answers

Answer:

3/20 then 0.015 then 0.15%

Step-by-step explanation:

3/20 then 0.015 then 0.15%

3/20 is 0.15

0.15% is .0015

0.015 is 0.015

HELP ME PLS ITS 3AM IM TIRED // geometry HL AND CPCTC

Answers

Answer:

b

Step-by-step explanation:

angle b = angle e = 90 (given) R

if ac = df H

bc = ef (given) S

An empty erlenmeyer flask that weighs 245.8 g is filled with 125 mL of carbon tetrachloride . The weight of the flask and carbon tetrachloride is found to be 444.6 g. From this information , calculate the density of carbon tetrachloride .​

Answers

Answer:

The density is 1.59 g/mL. Therefore, the substance will NOT float in water.

Step-by-step explanation:

The following data were obtained from the question:

Mass of empty flask = 245.8 g

Mass of flask + CCl₄ = 444.6 g

Volume of CCl₄ = 125 mL

Density of CCl₄ =?

Next, we shall determine the mass of carbon tetrachloride, CCl₄. This can be obtained as follow:

Mass of empty flask = 245.8 g

Mass of flask + CCl₄ = 444.6 g

Mass of CCl₄ =.?

Mass of CCl₄ = (Mass of flask + CCl₄) – (Mass of empty flask)

Mass of CCl₄ = 444.6 – 245.8

Mass of CCl₄ = 198.8 g

Finally, we shall determine the density of carbon tetrachloride, CCl₄ as follow:

Mass of CCl₄ = 198.8 g

Volume of CCl₄ = 125 mL

Density of CCl₄ =?

Density = mass / volume

Density of CCl₄ = 198.8 / 125

Density of CCl₄ = 1.59 g/mL

The density of water is 1 g/mL. Since the density of carbon tetrachloride, CCl₄ (i.e 1.59 g/mL) is bigger than that of water, the substance will not float in water.

The density of carbon tetrachloride is 1.59 grams per milliliter.

Given that an empty erlenmeyer flask that weighs 245.8 g is filled with 125 mL of carbon tetrachloride, and the weight of the flask and carbon tetrachloride is found to be 444.6 g, to determine the density of carbon tetrachloride the following calculation must be performed:

Subtract the weight of the empty flask from the weight of the full flask, and then divide this result by 125 (the milliliters of carbon tetrachloride).

(444.6 - 245.8) / 125 = X 198.8 / 125 = X 1.59 = X

Therefore, the density of carbon tetrachloride is 1.59 grams per milliliter.

Learn more in https://brainly.com/question/952755

Name the property that the statement illustrates.

Answers

Answer:

Symmetric property of angle congruence

symmetric property of angle congruence

how do you convert fractions to decimals?​

Answers

Answer: division :3

Step-by-step explanation:

The line in a fraction that separates the numerator and the denominator represents division.

To convert a fraction to a decimal, divide the numerator by the denominator.

Write down an example of an equation that has:
a. One solution
b. Two solutions
c. An infinite number of solutions
d. No solutions

Answers

Well one could be like B•A=C•X what is the value of X

Answer:

a. 2x+3=7

b. x^2=9

c. x=x

d. x+4=x+3

Step-by-step explanation:

A) can be proved correct by x=2 as 2(2)=4+4=7

B)x^2=9 can be proven correct by either (3,3) or (-3,-3) as 3*3 is 9 and -3*-3=9 as well because two negatives equal a postive

C) x=x is the simplest equation w/ infinite solutions-you could have 2=2 or 4=4

D) There is no answer that can make this equation correct

Will mark brainliest if correct!!!
Evaluate 8a + 3b - 10 + c² when a = 2, b = 5, and c = 4.

Answers

Answer:

37

Step-by-step explanation:

8(2)+3(5)-10+c^2=37

Benjamin must have 120 credit hours of instruction to receive his college degree. Benjamin wants to graduate in 8 semesters without attending summer sessions. How many credit hours must Benjamin take on average each semester to graduate in 8 semesters? (8) Simplify this expression: -4^2

Answers

Answer: See explanation

Step-by-step explanation:

From the question, we are informed that Benjamin must have 120 credit hours of instruction to receive his college degree and that he wants to graduate in 8 semesters without attending summer sessions.

The number of credit hours that Benjamin must take on average each semester to graduate in 8 semesters will be:

= 120/8

= 15 credit hours

(8) Simplify this expression: -4^2. This will be:

= -4 × -4

= 16

11 1 point Jannet used 155 beads to create 5 necklaces. How many beads did she use to create 9 necklaces?​

Answers

Answer:

155 bead to create 5 necklace therefore for 9 bead we should divide 155 by 5 and multiply the answer by 9

=155/5*9

=31*9

=279

What is the area of this tile?
10 in.
8 in.
6 in.

Answers

Answer:

I belive the area is 24...........

Step-by-step explanation:

i know it is 24  reason becuase if you add like this (10 + 8) + 6 you get 24 so means the area is 24 inches.

I think answer should be 24 please give me brainlest let me know if it’s correct or not okay bye

Reema spends $19.25 on 100 lead pencils. what is the price of one pencils? round the answer to the nearest penny.​

Answers
$0.02
$0.19
$1.93
$19.25

Answers

0.19 it’s B and I know cause it’s common sense

Answer:

0.19 aka B

Step-by-step explanation:

19 is 50% of what number? round to the nearest tenth

Answers

Answer:

38... 19 doubled thats it

Answer:

38

Step-by-step explanation:

Rounded to the nearest tenth is 40

i needa lil help on this question

Answers

Answer:

-2, -4

Step-by-step explanation:

2. Given g(x) = x +5, find the following.
a. g(4)
b.g(-10)
c. g(0)

Answers

9514 1404 393

Answer:

  a)  9

  b)  -5

  c)  5

Step-by-step explanation:

Put the value of the argument where x is and do the arithmetic.

a)  g(4) = 4+5 = 9

b)  g(-10) = -10 +5 = -5

c)  g(0) = 0 +5 = 5

2-10n plez helppppppppppppppppppppp

Answers

Answer:

2-10n=.............what. We can't figure out n given 2-10n without a solution

Step-by-step explanation:

This doesn’t make sense

£1=$1.62
£650 in dollars
$405 in Pounds

Answers

605 pounds is 840.25 dollars

405 dollars is 313.30 pounds

Answer:

£650= 840.25$

$405= 313.30£

Step-by-step explanation:

Jonathan forgot his math homework on the kitchen table and left for school without it. He biked at the speed of 15 mph. His mother saw the homework when he was already 1 mile from home, and started chasing him. She drove at a speed of 25 mph and caught him at the school entrance. How far is the school from Jonathan's home?

Answers

Answer:

2.5 miles

Step-by-step explanation:

Let the distance be x

Then Jonathan biked for

x/15 hours

His mother drew for

x/25 hours

The time difference is

1/15 hours

So we have

x/15 - 1/15 = x/25(x - 1)/15 = x/2515x = 25x - 2525x - 15x = 2510x = 25x = 25/10x = 2.5 miles

A sailor is 30m above the water in the crow's nest on a sailboat. The sailor encounters an orca surface at an angle of depression of 15 degrees. The crows nest is 20 m horizontally from the bow (front) of the boat. How far in front of the boat is the orca?

Answers

Given :

A sailor is 30 m above the water in the crow's nest on a sailboat.

The sailor encounters an orca surface at an angle of depression of 15 degrees.

The crows nest is 20 m horizontally from the bow (front) of the boat.

To Find :

How far in front of the boat is the orca.

Solution :

Let, distance of boat front from the crow's nest is x.

So,

[tex]\dfrac{30}{20+x}=tan \ 15^{\circ}\\\\x=\dfrac{30}{tan \ 15^{\circ}}-20\\\\x=111.94-20\\\\x=91.94\ m[/tex]

Hence, this is the required solution.

i need help with this ​

Answers

Answer:

1. x=9

2. x=2

3. x=6

Step-by-step explanation:

I only know 1-3 sorry, but hope this helps

Other Questions
Benjamin must have 120 credit hours of instruction to receive his college degree. Benjamin wants to graduate in 8 semesters without attending summer sessions. How many credit hours must Benjamin take on average each semester to graduate in 8 semesters? (8) Simplify this expression: -4^2 Definition: The ______ place is the place two to the left of the decimal point in a number.Term: WILL GIVE BRAINLIEST HELP ME PLS ITS 3AM IM TIRED // geometry HL AND CPCTC Describing Uses for MercuryVisit this website and locate the element mercury, whose chemical symbol is Hg. Click on the square to read about the history, properties, and uses of mercury.Name three uses for mercury. Which of the following was not a cause of World War I A.) nationalism B.) liberalism C.) imperialism D.) militarism 14 a + 13 a + 8 = 22 Give five solutions to the problems of port development. May you please help me on this question? Please and thank you. Will mark brainliest if correct!!!Evaluate 8a + 3b - 10 + c when a = 2, b = 5, and c = 4. 2-Methycyclohexanol is prepared commercially by catalytic hydrogenation of ocresol (2-methylphenol) and consists of a mixture of cis and trans isomers. (Note the spectrum is for the mixture.) (Hint: What do the peaks at 3.05 ppm and 3.75 ppm represent and what does their integration show Which of the following describes how the author introduces Rosie the Riveter in the text?A. The author provides information on the person who inspired Rosie.B. The author outlines the ideas that Rosie stands for.C. The author describes what Rosie physically looks like.D. The author emphasizes the lasting effects Rosie has had on women. How does the writers word choice affect this poem? Be sure to read all answers and find the BEST choice.From The Negro Speaks of RiversIve known rivers ancient as the world and older than theflow of human blood in human veins.My soul has grown deep like the rivers.I bathed in the Euphrates when dawns were young.I built my hut near the Congo and it lulled me to sleep.Question 3 options:A.The use of words like ancient and deep and dawns give the poem a calm and soothing mood.B.The poem has a lively mood thanks to words like deep and lulled.C.The words like grown and bathed and built create a dark and gloomy mood,D.The use of words like lulled, bathed, and sleep give the poem a calm mood. How does the authors uses of different Englishes within the text support the central idea that there is no single correct way to express oneself? Mothers Tounge Find the LCD of the given rational equation: North Africa traded __________________ to West Africa in exchange for _____________________ . The age of exploration began with a search for new trade routes to? Find The Difference.1)5-15=2)-13-7=3)-19-7=4)36-(-12)=5)-29-(-11)=6)-7-(-5) What is The fall of the house of Usher about Reema spends $19.25 on 100 lead pencils. what is the price of one pencils? round the answer to the nearest penny.Answers $0.02$0.19$1.93$19.25 how do i do this 10 x 10 x 10 =10 squared =10 6