Write an exponential function in the form y=ab^x that goes through points (0, 2) and (6, 8192)

Answers

Answer 1

Answer:

y=2(2 2^(1/6))^x

Step-by-step explanation:

y=2(2 2^(1/6))^x

since b^x with x being zero b has to be 1 and since y = 2 a also = 2

then insert that back into the equation

Hope that helps :)

Answer 2

The exponential function that goes from (0, 2) and (6, 8192) will be y = 2([tex]4^{x}[/tex]).

What is an exponential function?

In mathematics, an exponential function is a relationship of the type y = ax, where x is an independent variable that spans the entire real number line and is expressed as the exponent of a positive number.

As per the given exponential function,

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

Put (0, 2) into the above function,

2 = a(b)⁰

a = 2

Put (6, 8192) and a = 2

8192 = 2(b)⁶

b⁶ = 4096

b = 4

Thus required function will be y = 2([tex]4^{x}[/tex]).

Hence"The exponential function that goes from (0, 2) and (6, 8192) will be y = 2([tex]4^{x}[/tex])".

For more about exponential function,

https://brainly.com/question/15352175

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Related Questions

Add the following lengths: 32'11"+11'3''

Answers

Answer:

44'2"

Step-by-step explanation:

32'11"+11'3' = 43'14" = 44'2"

Answer:

44'2"

Step-by-step explanation:

Starting with 32' 11", we'll add the 3" from the second number first. That will give us 32' + 14". Every 12" = 1 more foot, so that converts to 33' 2". Now add the 11' from the 11'3", and you have 44' 2". Does that make sense? Happy to answer any questions.

Which ordered pairs make the open sentence true? 3x+y<14 Select all the correct answers. (7, −7) (−1, 6) (3, 6) (4, −1) (6, 0)

Answers

Answer:

(4, - 1)

(-1, 6)

Step-by-step explanation:

Given the expression :

3x+y<14

Test the opprions to find out the true statement.

(7, - 7)

3(7) + (-7) < 14

21 - 7 < 14

15 < 14 (not true)

(-1, 6)

3(-1) + 6 < 14

3 + 6 < 14

9 < 14 ( true)

(3, 6)

3(3) + 6 < 14

9 + 6 < 14 ( not true)

(4, - 1)

3(4) - 1 < 14

12 - 1 < 14 ( true)

(6,0)

3(6) + 0 < 14

18 < 14 ( not true)

answer asap no wrong answers pls

Answers

Answer:

h = 3

Step-by-step explanation:

Looking at the given image, the height(h) divides the side length of 8 into two equal parts as we see that the height is perpendicular to the side length of 8 m.

Thus, looking at the half triangle of the face where the h is indicated, we can use pythagoras theorem to find h where the hypotenuse is 5 as shown in the diagram since each vertical cross section is an Isosceles triangle. Thus,

h² + (8/2)² = 5²

h² + 4² = 25

h² + 16 = 25

h² = 25 - 16

h² = 9

h = √9

h = 3

BRAINLISRST AND EXTRA POINTS I NEEDS I HELP

Sally deposits $150 into a bank
Account in 2020 that earns 3.5%
annual interest. What exponential
function represents the situation?

Answers

Answer:150/3.5

Step-by-step explanation:


The radius of a circle is 10 meters. What is the angle measure of an arc 3 meters long?
{=37 m
=10 m
Give the exact answer in simplest form

Answers

Answer:

Ф = 0.3 radians

Step-by-step explanation:

The arc length formula is s = rФ.  Solving for the angle measure Ф, we get:

Ф = s/r

and so with r = 10 m and s = 3 m, we get Ф = 3 m / 10 m = Ф = 0.3 radians

“Puppies are cute animals.”
1. Write the quote as a conditional statement.

Answers

Answer:

Puppies are the cueist

Step-by-step explanation:

Answer:

there is a eye which will make you fall for it .

guess which eye is it

Solve for x: 9-2x < 45​

Answers

Answer:

heya !!

[tex]9 - 2x < 45[/tex][tex] - 2x < 45 - 9[/tex][tex]x < 36 \div (- 2)[/tex][tex]x < - 18[/tex]

Mathematical treatment of the axioms of physics

(a) axiomatic treatment of probability with limit theorems for foundation of statistical physics

(b) the rigorous theory of limiting processes "which lead from the atomistic view to the laws of motion of continua"

Answers

Answer:

*Partially solved, cannot be fully solved, even in the most complex of mathematicians.

— Attempts at axiomatizing are useful even beyond mathematics: they help to clarify the basic assumptions and keep the mind in order. This is good and encouraging.

— This order may be much more complicated and counter-intuitive than the preceding chaos. This is not so encouraging, but not too bad: axiomatizing is a powerful tool, and its use requires accuracy.

— The road to rigour is infinite. This is neither encouraging nor discouraging: this is reality.

Step-by-step explanation:

‘One can say that, with the birth of quantum theory, Hilbert’s sixth problem was split into three different questions:

(i) Axiomatize classical probability.

(ii) Axiomatize the new (quantum) probability.

(iii) Clarify the connections between the two.’

The essence of the sixth problem as a programmatic call for the axiomatization of the physical sciences.

We can try to outline the possible ‘semantic of physical reality’ that complements semantics of physical theories, is simple, abstract and free from theoretical allusions. Let us just follow the machine learning abstractions. There are two alphabets: perceptions Inline Formula and actions Inline Formula.

The ‘person’ selects and sends ‘outwards’ the symbols from Inline Formula (actions) and receives symbols from Inline Formula (the answers to actions or just signals from ‘outside’).

There is the ‘freedom of will’: selection of a symbol from Inline Formula has no restrictions (Inline Formula models commands to actuators; the real actions and their results return to the person with the Inline Formula feedback).

10 problems, namely {3,7,10,11,13,14,17,19,20,21}, have a resolution that is accepted by a general consensus of the mathematical community. On the other hand, the solutions proposed for seven problems, namely {1,2,5,9,15,18,22}, are only partially accepted as resolving the corresponding problems.  

Therefore, my conclusion, is that my brain is fried, and this cannot be fully solved.

MARKING BRAINLIST IF THESE TWO ARE ANSWERED‼️‼️‼️

Answers

Anime club: 500 - 30y

Computer club: 150 + 20x

*you could use any letter(variable) you like*

If Antonio has six white Soxs, two black Sox's, and four gray socks In his drawer then if he randomly chooses a sock from the drawer, what is the probability he will choose a gray sock?

Answers

Answer:

1/3

Step-by-step explanation:

What, so he doesn't have the Red Sox?

Jkjk, so anyway let's get back to the problem.

There is a total of 12 socks.

There are 4 gray socks.

4/12=1/3

1/3 probability

If a ball rotates 10 degrees in 8 seconds, how many degrees does it rotate in 32 seconds?

Answers

Answer:

This is your answer

Answer:

the ball will rotates 40 degrees in 32 sec.

Step-by-step explanation:

32÷8=4

4×10=40 degrees

list at least 3 theorems and give an example for each.​

Answers

Answer:

A result that has been proved to be true (using operations and facts that were already known). Example: The "Pythagoras Theorem" proved [tex] {a}^{2} + b {}^{2} = {c}^{2} [/tex] that for a right angled triangle.

FIVE THEOREMS OF GEOMETRY: a circle is bisected by its diameter. angles at the base of any isosceles triangle is equal. If two straight line intersect, the opposite angles formed are equal.If one triangle has two angle and one side is equal to another triangle. any angle inscribed in a semi-circle is a right angle.

Step-by-step explanation:

Hope it is helpful...

Can someone please help me with math.

Answers

Answer:

the answer is a. y=-2x-5

what is the value of X in degrees?

Answers

3,50 degrees hope This heal

The length of the living room is 3 feet more than its width . The area of the living room is 270square feet write and equation that reprints the area of the living room

Answers

Answer

x^2+3x=270

Explanation

x (x+3) =270

x^2+3x=270


b) Re-write the statement 16 + 5 + 2 - 1 by including one pair of brackets

Answers

Answer:

hello !!

answer ;

(16 + 5 + 2) - 1

<.........kai.........>

can u answer both pls

Answers

im not able to see the images. if i can i'll come back and comment the answers!!!

please help me with this question it is due soon
DONT SEND ME A LINK​

Answers

Answer:

-3

Step-by-step explanation:

As,

4 + (-7)

= 4 - 7

= -3

It is also shown on the number line.

Mary drove 715 miles in 13 hours, At the same rate, how many miles would she drive in 9 hours?​

Answers

Answer:

495 miles

Step-by-step explanation:

The Smith's paid $952 for a
hotel for 7 DAYS. How much
was the hotel per night?

Answers

the smiths paid $136 per night for the hotel
They paid $136 each night

the population of a village is 2250.

32% of the population are children. Calculate the number of children in the village. Show working?

Answers

Do 32% by dividing 2250 by 32

Answer:

720 children

Step-by-step explanation:

good day. I think that's the answer hope it helps you.

what is the slope of the line?

Answers

Answer:

slope=7/4

Step-by-step explanation:

you can find the slope of the line from a graph using the formula rise/run, where rise is the change in y and run is the change in x

let's start with a clear point; for example, (-1,-3)

we need to go up, down, left, or right to get the rise/run

up/down is considered the rise

left/right is considered the run

if we go up or to the right, that's considered a positive move

if we go down or to the left, that's considered a negative move

we'll go from (-1,-3) to another clear point, like (3,4) for example

starting at (-1,-3):

go up 7, to the point (-1,4)

then move 4 to the right to get to the point (3,4)

we went up 7, so our rise is 7

we moved to the right 4, so that is our run

our slope then is 7/4

please see below for a graph if that would be helpful:

A triangle has one 86° angle and two 47° angles. What kind of triangle is it?

Answers

Answer:

Isosceles triangle

It costs $17.50 for 5 gallons of gas. Write and solve a proportion to answer the question: How much gas could you buy with $49.00?


Solve and explain for BRAINLIST

Answers

49-17.50 then add that with 5 then add it in a promotion

17.50/5 = 3.50= 1 gallon

so you divide 49 by 3.5 and you get 14 and 14= 14 gallons

Step-by-step explanation:

i’ll give brainliest

Answers

Is 8(4x-7) Multiply each term in the parentheses by 8 calculate the product is equal =32x-56

Can someone really help me please

Answers

Answer:

6-B, 7-B, 8-A, 9-B, 10-A.

Answer:

6) Letter- B

7) Letter- B

8) Letter- A

9) Letter- B

10) Letter- A

ME HAS CONFUSION PWEASE HELP

Answers

Answer:

The answer is 261

Step-by-step explanation:

Answer:

sorry if i am wrong but i think it is 35

Step-by-step explanation:

i think you have to add the 37 and 39 to get 76  and subtract 111 to get 35

Bethany is making a rectangular fenced-in area for her rabbit in her yard. The area measures 4 3 4 feet wide by 2 yards long. What is the total length of fencing, in feet, that Bethany will need? A. 6 3 4 feet B. 10 3 4 feet C. 13 1 2 feet D. 21 1 2 feet

Answers

Answer:

D. 21 1/2 feet

Step-by-step explanation:

The total length of fencing, in feet, that Bethany will need is 13 1/2 feet.

What is the total length of fencing needed?

The total length of fencing needed can be determined by calculating the perimeter of the area. Perimeter is the distance round the area.

Perimeter of the area = 2(length + width)

2 (4 3/4 + 2)

2 x 6 3/4

2 x 27/4 = 13 1/2 feet.

Mrs. Gurung spends 75% of her income every month which amounts to Rs 9000 and the rest she saves in a bank​

Answers

Answer:

See the explanation below

Step-by-step explanation:

The question is asking what the income is and what the rest amount is

We are told that 75% of the income is Rs. 9000

Le the income be x

so

75/100*x=9000

0.75x=9000

x= 9000/0.75

x=12000

Hence the income is

Rs. 12000

The rest amount

=12000-9000

=Rs. 3000

What is the lateral and surface area? No link or you will be reported ​

Answers

The lateral surface of an object is all of the sides of the object, excluding its base and top. The lateral surface area is the area of the lateral surface. This is to be distinguished from the total surface area, which is the lateral surface area together with the areas of the base and top.
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