An exponential function contains the points: (2,121) and (3,133.1)
What is the exponential function that contains these points?

Answers

Answer 1

y=ab^x

121= ab^2

133.1= ab^3

we divide the 2 equations

[tex] \frac{121}{133.1} = \frac{a {b}^{2} }{a {b}^{3} } [/tex]

0.9 = b^-1

b = 1.1

121 = a (1.1)^2

121 = a × 1.21

a = 100

y=100 × ((1.1)^x) is the function


Related Questions

what integer best represents that the temperature outside increased by 12°F?

I WILL APPRECIATE ​

Answers

Answer:

-11.11*C

Step-by-step explanation:

12°F − 32) × 5/9 = -11.11*C

-3x + 6y = 18
-3x = 6y+14

a) What is the slope of the 1st equation?

b) What is the slope of the 2nd equation?

c) Are they parallel, perpendicular, or neither?

Answers

Step-by-step explanation:

-3x + 6y = 18

-3x = 6y+14

a) the slope of the 1st equation = -(-3)/6 = ½

b) the slope of the 1st equation = -3/6 = -½

c) they are niether parallel nor perpendicular

#1

-3x+6y=18-x+2y=62y=x+6y=x/2+3

slope=1/2

#2

-3x=6y+146y=-3x-14y=-1/2x-7/3

slope=-1/2

#3

Neither

Question 12 (5 points)
Saved
image

An octagonal prism (shown) has __________ faces and ___________ vertices.
Question 12 options:

A)

8, 10

B)

10, 16

C)

16, 10

D)

6, 8

Answers

Answer:

hello there

octagonal prisms has 10 faces and it has 16 vertices hence answer is 10,16 which is option b

A Rectangular piano at an outdoor restaurant is made of 35 tiles each tile is one square yard if there are five tiles in each row how many rows are there

Answers

Answer:

7

Step-by-step explanation:

For which other positive integers a, less than 11, will the number (a^n) + (a^n+1) + (a^n+2) + (a^n+3) + (a^n+4) always be divisible?
Pls, Answer with the entire explanation.

Answers

If the number is supposed to be

[tex]a^n + a^{n+1} + a^{n+2} + a^{n+3} + a^{n+4}[/tex]

then it can be factorized as

[tex]a^n \left(1 + a + a^2 + a^3 + a^4\right)[/tex]

but there's not much to say about divisibility here without any more information about a.

If you meant

[tex]a^n + (a^n+1) + (a^n+2) + (a^n+3) + (a^n+4)[/tex]

simplifying gives

[tex]5a^n + 10 = 5 (a^n+2)[/tex]

which is clearly divisible by 5.

What's the approximate length of an arc with radius 3 miles and central angle of 45

Answers

  Length of the arc of a circle is given by,

Length of arc = [tex]\frac{\theta}{360^{\circ}}(2\pi r)[/tex]

Here, θ is the central angle subtended by the arc

r = Radius of circle

  By using this expression, approximate length of the arc with radius 3 miles will be 2.36 miles.

If the radius of circle = 3 miles

Central angle subtended by the arc = 45°

Therefore, length of the arc = [tex]\frac{45^{\circ}}{360^{\circ}}(2\pi )(3)[/tex]

                                               = 2.36 miles

           Length of the arc of the given circle will be 2.36 miles.

Learn more,

https://brainly.com/question/12566716

Select the choice that translates the following verbal phrase correctly to algebra:

the difference of m and 7 increased by 15

m − (7 + 15)
7m + 15
(m − 7) + 15
m − 7 ÷ 15

Answers

The answer is:
(M - 7) +15

I NEED ASAP I GIVE BRAIN-LIST PLZ FAST Emma and Clair are planning to sell lemonade on their street. They have two recipes to choose from. Emma’s recipe calls for the juice of 5 lemons and 2 cups of water. Clair’s recipe calls for the juice of 2 lemons and 1 cup of water. Why will the first recipe taste more “lemony”?

Answers

Answer:

Emma's recipe will taste more "lemony" (lol) then Clair's because it has more lemons.

Explanation:

More of something means you will experience it more. More lemons = more lemon taste. The extra cup of water is not enough to dilute the lemon taste for Clair's recipe to taste more lemony.

Despite the large number of questions Allison missed on her final exam in Organic Chemistry, her score was listed as being in the 72nd percentile of scores for all students. Her score falls
a. between the first quartile and the median.
b. between the minimum and the first quartile.
c. between the third quartile and the maximum
d. between the median and the third quartile.

Answers

Answer:

A

Step-by-step explanation:

Someone answer this please

Answers

Answer:

[tex] →\frac{8xy}{24y} = \frac{8}{24} . \frac{xy}{y} = \frac{1}{3}. x = \boxed{ \frac{x}{3} }✓ \\ [/tex]

x/3 is the right answer.

A commercial jet liner hits an air pocket and drops 275 feet. After climbing 160 ​feet, it drops another 158 feet. What is its overall vertical​ change?

Answers

Answer:

-263 feet

Step-by-step explanation

-275 + 160 = -115

-115 - 158 = -263

What is 3.6 divided by 4

Answers

Answer:

0.9. If that is the answer you are looking for.

Step-by-step explanation:

Answer:

0.9

Step-by-step explanation:

because i diveded it

Please answer correctly this time answer ASAP please due soon

Answers

Step-by-step explanation:

Down 2 units : we will move the point 2 units to the down direction of the vertical line (y-axis)

which means (x ,y-2) = (-2,1)

right 3 units = we will move the point 3 units to the right direction of the horizontal line (x axis )

(x+3,y)= (1,3)

up 1 unit and left 4 units : we will move the point 1 unit in the up direction of the vertical line (y-axis)

and move it 4 units in the left direction of the horizontal line (x axis )

(x-4,y+1l. = (-6,4)

In which quadrant is the point (-2, -3) located?
Quadrant II
Quadrant TV
Quadrant II
Quadrant l

Answers

The point (-2 , -3) is located in the 3rd quadrant.

[tex]  \boxed{ \boxed{ \mathrm{lll \: \: quadrant}}}[/tex]

Please solve these questions with the equations. Will give 80 points and mark brainliest to the person with the answers.

Answers

1]

[tex]8(x-7)=128 \ \ /:8\\\\x-7=16 \ \ /+7\\\\\huge\boxed{x=23}[/tex]

2]

[tex]16=2(x+7) \ \ /:2\\\\x+7=8 \ \ /-7\\\\\huge\boxed{x=1}[/tex]

3]

[tex]\frac{7y}{7}=20\\\\\huge\boxed{y=20}[/tex]

4]

[tex]2x-1=9 \ \ /+1\\\\2x=10 \ \ /:2\\\\\huge\boxed{x=5}[/tex]

5]

[tex]2(x-8)=20 \ \ /:2\\\\x-8=10 \ \ /+8\\\\\huge\boxed{x=18}[/tex]

Help me With this problem:(

Answers

Answer:

you should read this problem and slove your self

it was

Find the distance between the points T(13, 1.6) and V(5.4.3.7).

Answers

Find the distance between the points t(13, 1.6)t(13, 1.6) and v(5.4, 3.7)v(5.4, 3.7).

1

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The distance between any 2 points P(a,b) and Q(c,d) in the coordinate plane, is given by the formula:

Thus the distance between points t(13, 1.6) and v(5.4, 3.7) is found using the formula as:

which figure is the odd one out?​

Answers

Answer:

I'm pretty sure its A cuz it looks different than the others

a because it has circles on the top and bottoms unlike the others on the sides

solve the equation 6x-4 divided by 8 = 7 explain and provide the definition or property that justifies each step of the solution process

Answers

Hi! I'm happy to help!

We need to solve for x in this equation, we do this by isolating it on one side of the equation, and see what is on the other side (what it equals).

When we are isolating x, we are undoing the complication in the equation, so we are going to go backwards in the order of operations.

So, we will first write out our equation:

(6x-4)÷8=7,

Now, we need to get rid of that ÷8, we do this by multiplying both sides by 8:

(6x-4)÷8=7

        ×8 ×8

6x-4=56

Now, we have to add 4 to both sides to get rid of that "-4".

6x-4=56

  +4 +4

6x=60

Now, to find what x is, we have to divide both sides by 6 (isolating x).

6x=60

÷6  ÷6

x=10

I hope this was helpful, keep learning! :D

please help i will give extra points

Answers

Answer:

56

Step-by-step explanation:

solve expression using pemdas

(shown in image attached)

Hey there

Answer:

-93

Step by step explanation:

[tex]( - 8 \times - 6) - {4}^{2} \\ \\ - 77 - 16 \\ - 93[/tex]

Hope it help you

Easy question:
Two ends of a line have coordinates (-6,10) and (2,2). What are the coordinates of the midpoint of the line?

Answers

Answer:

midpoint = (-2 , 6)

Step-by-step explanation:

The midpoint can be found with the formula {(x1 + x2 )/2, (y1 + y2.) P1( x1 , y1 ), and P2 (x2 , y2 ) are the coordinates of two points, and the midpoint is a point lying equidistant and between these two points.

A wall is 300 square feet. A gallon of paint covers 110 square feet. What is an appropriate conversion factor to help determine how many gallons of paint will be needed to paint the wall?

Answers

Answer:

2.723 gallons of paint is required to paint the wall.

Step-by-step explanation:

It is given that the area of the wall is 300 sq feet. A gallon of paint covers 110 sq feet. We are asked to determine how many gallons of paint will be needed to paint the wall.

The fraction of above statement is,

[tex]$\frac{110 f t^{2}}{300 f t^{2}}=\frac{1}{x}$[/tex]

[tex]$x=\frac{300}{110}$[/tex]

[tex]$x=2.723$[/tex]

Learn more about gallons refer:

https://brainly.com/question/19498153

PLS HELP
A certain stock's price, S (t), can be modeled by the polynomial function S (t) = t^4 – 12t^3 + 52t^2 – 96t + 64, where t represents the month in 2021. In which month will the price of the stock have a local maximum?

February
March
April
May

Answers

Answer:

April

Step-by-step explanation:

To solve, you find the maximum of the polynomial function. You can do this by either graphing or plugging in the values in a T chart.

I graphed the function, provided down below.

As you can see, the highest value in the graph is the middle most point, aka (4,1). Count down the months of the year to 4, and you'll find that April is the 4th month of the year.

Using derivative concepts, it is found that the function has a local maximum in March.

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

A function S(t) has local maximums or minimums at points in which the derivative is 0.If the function goes from increasing(positive derivative) to decreasing(negative derivative), it has a local maximum.

The function is:

[tex]S(t) = t^4 - 12t^3 + 52t^2 - 96t + 64[/tex]

Which has the following derivative:

[tex]S^{\prime}(t) = 4t^3 - 36t^2 + 104t - 96[/tex]

Now, for each month, it has to be tested the derivative, verifying if it's zero.

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

February is the 2nd month, thus, the derivative is:

[tex]S^{\prime}(2) = 4(2)^3 - 36(2)^2 + 104(2) - 96 = 0[/tex]

Now, we have to test a value less than 2, and one greater than two, to check if it goes from increasing to decreasing, that is, derivative goes from positive to negative.

[tex]S^{\prime}(1.5) = 4(1.5)^3 - 36(1.5)^2 + 104(1.5) - 96 = -7.5[/tex]

[tex]S^{\prime}(2.5) = 4(2.5)^3 - 36(2.5)^2 + 104(2.5) - 96 = 1.5[/tex]

From negative to positive, thus, a local minimum in February.

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

March is the 3rd month, thus, the derivative is:

[tex]S^{\prime}(3) = 4(3)^3 - 36(3)^2 + 104(3) - 96 = 0[/tex]

Testing before and after:

[tex]S^{\prime}(2.5) = 4(2.5)^3 - 36(2.5)^2 + 104(2.5) - 96 = 1.5[/tex]

[tex]S^{\prime}(3.5) = 4(3.5)^3 - 36(3.5)^2 + 104(3.5) - 96 = -1.5[/tex]

From positive to negative, thus, it has a local maximum in March.

A similar problem is given at https://brainly.com/question/13539822

seven subtracted from the product of four and a number is a most 26 use the variable C for the unknown number

Answers

We’ll break this down:

“7 subtracted from” means you’ll take 7 away from something.

That something is “the product of 4 and a number.”
Product means multiplication, so you need to multiply 4 and a number, which you’re told to call C.
“The product of 4 and a number” becomes 4•C or just 4C.

Putting those together “seven subtracted from the product of 4 and a number” becomes:
4C-7

“Is at most” also can be stated as “no more than.” This means your 4C-7 cannot be bigger than 26. If it cannot be bigger than 26, then it needs to be less than or equal to 26.

4C-7 ≤ 26.

Annie borrowed $354 from her parents to buy a tablet. She plans to pay the money in 2 equal payments per month for the next 12 months. How much will each payment be?

Answers

Answer:

$354 divided by 12 equal payments equals $29.50 per month

Step-by-step explanation:

$354 divided by 12 months (also 12 equal payments) = $29.50 per month.

(2·4)+6÷2 need to know how to do this problem

Answers

14 is the answer…. hope that helps
The answer is 11 2x4=8+6\2 8+3=11

What is the distance between the points
Choose 1 answer:

Answers

Answer:

I believe it's B, 10

Step-by-step explanation:

well first you find where the points would meet. if you count over three, that's where they line up, and then you count up to the dot itself, which would be 7 more. 7+3 = 10 :D

Solve for d:
-9.4d + 26 < 91.8

Answers

Answer:

-9.4d+26-26<91.8-26

-9.4d+0<65.8

-9.4d < 65.8

-9.4d÷-9.4>65.8÷-9.4

d > -7

Given the list of numbers, 3, 2, 6, 3, 9, 5, 12, 7, if the pattern continues, what is the sum of the ninth and tenth numbers?

Answers

Answer:

Step-by-step explanation:

Every other one beginning with the first 3 adds 3 to the preceding number that has an odd position.

So the odd positions go up 3 6 9 12

And the next odd position is 15 which is the nineth term.

It's hard to tell what the even ones are doing. It could be anything just about. I'm guessing its a 9. So the tenth term is 9.

The sum of 9 and 15 = 24

If someone gives you a more consistent answer, take it.

PLS HELP 20 POINTS- will give brainliest

Answers

Answer:

I thought I answered this before

-2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

im taking  algebra 2 and this was a question

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