Mathematics High School

Write an exponential function to describe the given sequence of numbers, assuming that the first number in the sequence corresponds to x = 0.
5.30, 180, 1080, 6480...

Write An Exponential Function To Describe The Given Sequence Of Numbers, Assuming That The First Number

Answers

Answer 1

Answer:

[tex]y = 5(6) {}^{x} [/tex]

Step-by-step explanation:

A exponential function is represented by

[tex]y = ab {}^{x} [/tex]

where a is the vertical stretch and b is the base and x is the nth

power of x

Since the first number corresponds with zero, that means our y intercept is the first number.

This means when x=0 , y=5 so let find the value of 5.

[tex]5 = ab {}^{0} [/tex]

b to the 0th power equal 1 so

[tex]5 = a \times 1[/tex]

[tex]a = 5[/tex]

Our equation is for now

[tex]y = 5b {}^{x} [/tex]

Now let plug in 1,30

[tex]30 = 5b {}^{1} [/tex]

Divide 5 by both sides

[tex]6 = b {}^{1} [/tex]

Anything to the 1st power is itself so b equal 6.

So our equation is

[tex]y = 5(6) {}^{x} [/tex]

Related Questions

A salesman's commission rate is 6%. What is the commission from the sale of 36,000 worth of furnaces?

Answers

Answer:

2160

Step-by-step explanation:

36000*6/100=2160

20 POINTS ANSWER FAST PLEASE

Amanda has an envelope that is 2 1/4 inches tall. The envelope is 4 1/3 times as long as it is tall. How long is her envelope?

Answers

Answer:

8 1/12

Step-by-step explanation:

4 1/3 × 2 1/4

= 8 1/12

PLEASE HELP I DONT KNOW THE ANSWER !! THIS IS ALGEBRA 2

Answers

Answer:

f(g(x)) = (5x)^2 = 25x^2

Step-by-step explanation:

If f(x) = x^2 and g(x) = 5x, then

f(g(x)) = (5x)^2 = 25x^2

PLSSS HELP IT'S THE LAST QUESTIONN 11. A ladder is leaning against the side of a house. If the ladder's base is 10 feet from the base of the house and the top of the ladder is 7.5 feet above the ground, how long is the ladder?​

Answers

Answer:

17.5 is the correct answer

Answer:

12.5 ft

Step-by-step explanation:

7.5 squared and 10 squared

you add both of the squared numbers and then do the sqaure root of that number

I REALLY NEED HELP!!

Find the area of the composite figure

Answers

Answer:

I honestly don't know how to solve anything like this but my best guess is 135

Step-by-step explanation:

I used the area of a circle formula to find the area of the two semi-circles, and then added it to the area of the rectangle. (Once again, I really do not know xD)

A rock is thrown down from a cliff that is 180 m high. The function
h(t) = -5t^2 – 10t + 180 gives the approximate height of the rock
above the water, where h(t) is the height in metres and t is the time
in seconds. When will the rock reach a ledge that is 105 m above
the water?

Answers

Answer:

t = 3

Step-by-step explanation:

105 = -5t^2 -10t + 180

-75 = -5t^2 -10t

15 = t^2 +2t

t^2 +2t -15 = 0

(t+5)(t-3)

t = -5, 3

There's no such thing as negative time so you use the positive answer

1.8+ (-6)

How would I solve this? I need help

Answers

Answer:

-4.2

Step-by-step explanation:

1.8+ (-6)

Answer: -4.2


Explain: 1.8-6

how to solve this one​

Answers

A dotted line is not included in the solution so there is no equal sign.

The blue area is to the right of the dotted line so the solution is >

The line crosses the x axis at -2

The answer is : x-y > -2

if the price continues to rise at a constant rate each year, what will be the price of a concert ticket in 2020?

Answers

Answer:

77.00

Step-by-step explanation:

the price is going by 1.50 a year so it would be 77.00 in 2020

find the quotient of $68.20 , 3.1

PLS HELP ME

Answers

Answer:

$68.20 divided by 3.1 = $22

Step-by-step explanation:

in a book containing 290 pages, Diana read 210 pages. What fraction of the book did she read?

Answers

Answer:

72% or 72.4%

Step-by-step explanation:

Is it a function? Explain

Answers

Answer:

Yes.

Step-by-step explanation:

For a graph to be a function, it must have precisely one y-value for every x-value.

In this case, this graph is a function because it meets the requirements of having one y-value for every x-value.

Let me know if this helps!

Helllllllllp. Please

Answers

Answer:

Orange area

area=x^2+x-12

Step-by-step explanation:

width=x+3

length=x-4

area=width x length

area=(x+3)(x-4)

area=x^2-4x+3x-12 = x^2+x-12

please help me. i don't remember how to do this stuff so please explain it.

Answers

Answer:

which class are you read in?

actually don't know ans

Step-by-step explanation:

hope it's helpful to you

gud nyt

sweet dreams

Answer:

ncnggvbbjhgujgkgcffjd7jh

Given that ABCD is a parallelogram. Find the following

Answers

Answer:

abcd is parallelogram and opposite sides of parallelogram are equal.

5x-9=3x+1

5x-3x=1+9

2x=10

10/2=x

5=x

bc=

5x-9=5×5-9

=16

ad=3x+1

=3×5-1

=15-1

=14

9) Andres needs to save $97.50 for the seventh grade field trip. He has 15 weeks to save the money. If he saves the same amount of money each week, how much money must Andres save​

Answers

Answer:

6.5

Step-by-step explanation:

97.50 divided by 15=6.5

(x – 7x4 + 6) + (8x4 – 6 – 5x)

Answers

Answer:

The answer is x^4 - 4x

Step-by-step explanation:

Simplify the expression.

Hoped this helped!

Brainly, Please?

1 4/8 + 2 2/8 = plzzzzzzzzzzzzzzzzzzzzzz

Answers

Decimal form: 3.75
hope thst helps

Answer:

15/4

hope it's helpful ❤❤❤❤

THANK YOU.

#

se lanza una pelota verticalmente hacia arriba con una velocidad de 5m/s ¿cuál es el tiempo que dura la pelota en el aire?​

Answers

I don’t speak the language you speaking

If d = 5, then
d3 equals

Answers

15, because 5 times 3 is 15. Have a good rest of your day/night!!

Answer:

15

Step-by-step explanation:

Multiply 5 by 3, 15

d=5

d3= 5(3)

5(3)=15

Write as a repeated addition. Use fraction
strips or a number line to calculate each
answer.

a) 2 x 1/3

b) 2 x 5/4

c) 4 x 5/2

d) 5 x 1/6

e) 6 x 3/5

f) 7 x 7/6

Please answer it it as quickly as possible....

Answers

Answer:

A) 2/3

B) 5/2

C)5/2

D) 5/6

E) 9/5

F) 49/6 (LOWEST TERM IT URSELF PLS)

Perform the following operation and express the answer in scientific notation. 6.900x1010 = 4.000x108 [?]x10 Coefficient (green) Exponent (yellow) Enter​

Answers

9514 1404 393

Answer:

  1.725×10²

Step-by-step explanation:

Your calculator or a spreadsheet can format the result of this division in scientific notation for you.

For the powers of 10, the applicable rule of exponents is ...

  (10^a)/(10^b) = 10^(a-b)

__

  [tex]6.900\times10^{10}\div4.000\times10^8=\dfrac{6.9}{4}\times10^{10-8}\\\\=\boxed{1.725\times10^2}[/tex]

A store down the street is selling a console 50% of from 236.87 if i were to buy the console wit my 490.45 how much money will i get back?

Answers

Answer:

$372.01

Step-by-step explanation:

50% of $236.87 is half of it, which means the console is being sold for $118.44 because:

235.87/2 = 118.435

Round this to the nearest cent:

$118.44

If you have $490.45, and you spend $118.44, it means that you subtract the cost from your own money:

490.45 - 118.44 = 372.01

You will have $372.01 left.

Marie is saving $75 each week so she can buy a new laptop which costs $1200. She has already saved $125. Find the minimum number of weeks she will have to save in order to be able to make this purchase.

Answers

Answer:

18 weeks

Step-by-step explanation:

Answer:

the minimum number of weeks she will have to save in order to be able to make this purchase is 15

Step-by-step explanation:

1200 divided by 75=16

and 75 go into 125 one time so u take and

16-1 =15

there for 15 is ur answer


Which of the following ordered pairs
make this equation true?
y = 3x - 2
A. (7,3)
B. (2,4)
C. (13,5)
D. (-1,5)

Answers

Answer:

B

Step-by-step explanation:

There are 600 seats in the Marshall Middles School Auditorium. Students are sitting in 4/5 of the seats in the auditorium. Teachers are sitting in 55 of the seats. How many seats are not being used?

A. 60
B. 65
C. 70
D. 75​

Answers

Answer:

B. 65

Step-by-step explanation:

600 * 4/5 = 480 seats used by students

55 teachers + 480 students= 535 seats used

600-535 = 65 seats left over

Identify the following as perfect squares, difference of squares, or trinomials.

Answers

It is a trinomial because it has three terms and it is not a perfect square nor a difference of squares.

What is an algebraic expression for ​"41 more than y ​"?

Answers

All you have to do is add the number to the variable you need to. It works the same for subtraction instead you will put y-14 or any variable and number that is needed to subtract from it and remember when they say a number more than a variable it is + that number if they say a number less than a variable it is - that number .


y+14

10 pt logs mark brain

Answers

Answer:

It's log 420

Step-by-step explanation:

The square of the difference between a number and 10.​

Answers

Answer:

an integer

Step-by-step explanation:

it is the correct answer

Interger hope this helps you
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