Mathematics High School

Write the explicit formula for the sequence shown below
3, -3, -9, -15

Answers

Answer 1

Answer:

[tex]a_{n}[/tex] = 9 - 6n

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = - 3 - 3 = - 9 - (- 3) = - 15 - (- 9) = - 6

This indicates the sequence is arithmetic with explicit formula

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 3 and d = - 6 , thus

[tex]a_{n}[/tex] = 3 - 6(n - 1) = 3 - 6n + 6 = 9 - 6n

Related Questions

What scale factor was used to produce the image?
A. 49
B. 18
C. 7
D. 1

Answers

The answer is

C. 7

You count the boxes along the green line.

There are 82 candies. 4 candies more are added. How many are there total?​

Answers

Answer:

86

Step-by-step explanation:

82+4=86

Answer:

86 candies

Step-by-step explanation:

Just do 82+4= 86 candies

Let the area of a rectangle in square metres is
[tex] {x}^{2} + 13x + 42[/tex]
How much longer is the length than the width of the rectangle?
A. 7m
B. 8m
C. 1m
D. 6m

​

Answers

Answer:

C)1m

Step-by-step explanation:

So the length and width is

x²-13x+42=0

(x-7)(x-6)=0

x-7=0

x-6=0

x=7 (length)

x=6 (width)

So the difference between length and width is

=7-6

=1m

Answer:

[tex]C.1\ m[/tex]

Step-by-step explanation:

[tex]We\ are\ given\ that,\\Area\ of\ the\ rectangle=x^2+13x+42\\Hence\ lets\ factorize\ this\ area\ completely:\\x^2+13x+42\\=x^2+6x+7x+42\\=x(x+6)+7(x+6)\\=(x+7)(x+6)\\Hence,\\Area\ of\ the\ rectangle=(x+7)(x+6)\\As\ we\ know\ that,\\Area\ of\ a\ rectangle=Length*Width\\Area\ of\ a\ rectangle=lw\\Here,\\lw=(x+7)(x+6)\\Hence,\\l=(x+7),w=(x+6)\ or\ l=(x+6),w=(x+7)\\But\ generally\ the\ length\ of\ a\ rectangle\ is\ greater\ than\ it's\ width.\\Hence\ the\ first\ solution\ is\ suitable\ here.\\[/tex]

[tex]Hence,\\l=(x+7),w=(x+6)\\Hence\ in\ order\ to\ find\ the\ difference\ between\ the\ length\ and\ width\\ we\ must\ perform\ the\ operation :l-w\\Hence,\\(x+7)-(x+6)\\=x+7-x-6\\=1\ m[/tex]

a car was purchased last year for $28,500. now its value is $25,510. at what rate is the car's value depreciating each year?

Answers

Answer:

The car's value is depreciating by $2,990 per year.

Step-by-step explanation:

To solve this problem, we just need to subtract the cars value this year, or $25,510, from the car value of last year, or $28,500.

28,500 - 25,510 = $2,990

Since the car value was $2,990 more just last year, the car's value is depreciating by $2,990 per year.

Hope this helps! :D

please help!! i’ll give brainliest!!

Answers

A is $1100
B is 12

hope this helped :)

Answer:

a- 1,100

b- 12

c- the price also increases.

Step-by-step explanation:

Need help on this, please

Answers

Answer: 30 something?

Step-by-step explanation:

Plz help. Will give brainliest to best answer

Answers

Answer:

9

Step-by-step explanation:

11cos35

Answer:

x = 9.0

Step-by-step explanation:

cos(35) = [tex]\frac{x}{11}[/tex]  

11cos(35) = x

x = 9.0

5. a) Determine the total surface area of
this tent, including the floor, in order to
estimate the amount of canvas needed
to construct it.
b) What is the volume of the tent?
13m
22 mm
13.5 m
3 m
I
4 m
4 m
Unit 6​

Answers

Step-by-step explanation:

Radius of the conical part = radius of cylindrical part r=

2

3

m

Slant height of the cone l=2.8 m

Height of the cylinder, h=2.1 m

Canvas needed to make the tent = Curved surface area of the conical part + curved surface area of the cylindrical part.

Curved surface area of conical part = πrl=

7

22

×

2

3

×2.8=13.2

Curved surface area of cylindrical part =2πrh=2×

7

22

×

2

3

×2.1=19.8

Total surface area = Curved surface area of conical part + Curved surface area of cylindrical part

=13.2+19.8=33 m

2

Cost of 1 m

2

canvas = Rs. 500

Cost of 33 m

2

canvas =33×500=16500

Therefore, it will cost Rs. 16500 for making such a tent.

if I would have 160$ and was discounted by 75 percent and if used a PROMO CODE and it gave me 10 percent off how much would I have​

Answers

Answer:

10 percant off how much would i have

jason sees that 2 out of every 5 cars that passes by his house has the windshield wipers on. What is the probability that that of the next 4 cars that pass his house, 2 will have their windshield wipers on?

Answers

Maybe like fifty percent ?

A small town has two local high schools. High School A currently has 500 students and is projected to grow by 80 students each year. High School B currently has 700 students and is projected to grow by 30 students each year. Let AA represent the number of students in High School A in tt years, and let BB represent the number of students in High School B after tt years. Write an equation for each situation, in terms of t,t, and determine how many students would be in each high school in the year they are projected to have the same number of students.

Answers

The equation that represent the number of students in High School A at time t is AA =  500 + 80tt.

The equation that represent the number of students in High School B at time t is BB = 700 + 30tt.

The number of students when both schools would have the same number of students is 820.

When would the school have the same number of students?

The equation that represent the number of students in High School A :

current number of students + (number of years x rate of increase)

AA =  500 + 80tt.

The equation that represent the number of students in High School B at time t is:

current number of students + (number of years x rate of increase)

BB = 700 + 30tt.

When the schools would have the same number of students, the two equations would be equal:

700 + 30tt = 500 + 80tt

700 - 500 = 80tt - 30tt

200 = 50tt

tt = 200 / 50

tt = 4

Population = 500 + (80 x 4)

500 + 320 = 820

To learn more about linear equations, please check: https://brainly.com/question/26434260

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someone answer these for me-​

Answers

1.) B
2.) A

lmk if you need me to explain

Answer:

First question is D, (2/3)x+7

Second is A, m = (-1/3)

Step-by-step explanation:

parallel lines have the same slope. m=slope.

perpendicular lines are opposite sign reciprocals. slope is 3, perpindicular slope is (-1/3)

–2.5 + (–3.5)

Which number line shows the sum?
A.
B.
C.
D.

Answers

the answer is......... -6

Answer:

The correct answer is C.

Step-by-step explanation:

Because –2.5 + (–3.5) = -6, it means  that the red line goes from -6 to -3 1/2 to 0. so that gives us Answer choice C

it costs $42 for 7 staplers. what is the unit rate for the stapler?

Answers

Answer:

The answer is 6

Step-by-step explanation:

42 divided by 7=6

yo can you help me with this

Ahoy there, matey! Our pirate ship had 5/6 of a treasure chest full of gold. Then we plundered an enemy ship and took their 3/8 of a treasure chest full of gold. How many treasure chests full of gold do we have now?

Answers

Answer:

1 5/24

Step-by-step explanation:

5/6+3/8

find common denominator: 24

5/6=20/24 3/8=9/24

add:

20/24+9/24=29/24

simplify:

29/24=1 5/24

hopefully this helps :)

Answer:

[tex]\frac{11}{24}[/tex]

Step-by-step explanation:

Addison is going to invest in an account paying an interest rate of 3.1% compounded continuously. How much would Addison need to invest, to the nearest dollar, for the value of the account to reach $910 in 18 years?​

Answers

Answer: $521

Step-by-step explanation:

If x=−1 and y=−3, then 5(x2−7+y)=

Answers

Answer:

-60

Step-by-step explanation:

5(-1 times 2 -7 -3) = 60

The value of [tex]5(x^2-7+y)[/tex] at [tex]x=-1,y=-3[/tex] is [tex]-45[/tex].

Important information:

The given expression is [tex]5(x^2-7+y)[/tex].The given values are [tex]x=-1,y=-3[/tex].Value of expression:

Substitute [tex]x=-1,y=-3[/tex] in the given expression.

[tex]5((-1)^2-7+(-3))=5(1-7-3)[/tex]

[tex]5((-1)^2-7+(-3))=5(-9)[/tex]

[tex]5((-1)^2-7+(-3))=-45[/tex]

Therefore, the value of [tex]5(x^2-7+y)[/tex] at [tex]x=-1,y=-3[/tex] is [tex]-45[/tex].

Find out more about 'Value of expression' here:

https://brainly.com/question/556937

The population of a town is 9,000, and it grows at a rate of 4.6% per year. What will the population be in 10 years ?

Answers

Answer:

13410

Step-by-step explanation:

So, first we find 4.6% of 9000

9000 x .046 = 414

Then we multiply the 414 by 10 because they gain 414 people every year and we need to find how many people after 10 years

414 x 10 = 4140

now add 4140 and 9000

Answer = 13140

What is the area of this triangle?

Answers

the area of the triangle is 18
The area of the triangle is 18

FIND THE EQUATION OF THE QUADRATIC FUNCTION GIVEN ITS ZEROS. 2.)11/3,-11/3

Answers

Answer:

they will have the same aboulsute value.

Step-by-step explanation:

because the abouslute value can not be negitive

Please please please help me with this !!!!!!

Answers

Answer:

Measure of angle T is 67.5 and measure of angle V is 22.5

Step-by-step explanation:

Solve for x

All the angles in a triangle equal 180

So,

3x + x +90 is 180.

Subtract 90 from both sides

3x+x = 90

Add like terms

4x = 90

Divide by 4 to solve for x

x = 22.5

Now substitute 22.5 in for 3x and x

Measure of angle T is 3(22.5) = 67.5 and measure of angle V is 22.5

6th grade math i mark as brainliest​

Answers

The variable is U and the coefficient is 7.6

what's the difference between 5 and
[tex]2 \sqrt{5} [/tex]
​

Answers

the difference between these two are:1. 5 is a rational number but 2√5 is an irrational number.

5 is a rational number and 2_/5 is irrational.

Write the equation of the line that passes through the points (7,-8) and (2, -8).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

Answers

Answer:

it has zero slope because it is a horizontil line

Step-by-step explanation:

What is the measure in degrees for the central angle of a circle whose radius is 8 cm and intercepted arc length is 5.6 cm?

Answers

Answer:

0.7

Step-by-step explanation:

Haley brought 4 boxes of candy canes at the santa store if each box of candy canes cost $2.65 and she paid with a twenty dollar bill how much change should get back

Answers

Answer: $9.04

Step-by-step explanation:

one box is $2.65 and $2.65x4=$10.09 and if there is a $20.00 then $20.00-$10.09=$9.04. :P

Is the following relation a function?

Relation:
X Y
-4 2
-2 1
0 0
1 2

The domain:
{-2,-4, 0, 1 }

The range:
{ 0, 1, 2 }

Answers

It is a function because when the x’s repeat then it's a none function

You buy five books that are equal in
price and a DVD for $8. Your total
comes to $26.50. Write an equation
that would help you determine the cost
of one book.
Help!

Answers

Answer:

5x+8=26.50

Step-by-step explanation:

Because the books are equal in price, we can use x to represent the price of the books and 5 to represent the amount, so it would be written as 5x. Then we add 8 because that's the price of the one DVD. It tells the total is 26.50, so the full equation written would be 5x+8=26.50

5x + 8 = 26.50 ; x represents the price of 1 book

w/4 + 12.5 - 7z what term has a coefficient


Pls help me.

Answers

w/4 and 7z both have coefficients

This expression contains 3 terms.

7z is the term with a coefficient.

12.5 is the constant term in the expression.

What is an equation?

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

Given, w/4 + 12.5 - 7z.

There are 3 terms in this expression.

The term that has a coefficient is 7z.

The constant term in the expression is 12.5.

learn more about equations here :

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Which graph shows the solution for d?

Answers

Answer:

is there a picture????

We can’t give you an answer if there isn’t a pic
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