Find the equation of the exponential function represented by the table below:
x у
0 0.01
1 0.02
2 0.04
3 0.08

Answers

Answer 1

Answer:

y = 0.01 * 2ˣ

Step-by-step explanation:

f(x) = xⁿ

0: 0.01 = 0.01 * 2⁰ = 0.01 * 1 = 0.01

1: 0.02 = 0.01 * 2¹ = 0.01 * 2¹ = 0.02

2: 0.04 = 0.01 * 2² = 0.01 * 2² = 0.04


Related Questions

Nick is making cookies the recipe requires 2 1/3 cup of flour and 1/6 teaspoons of salt. Nick wants to make the recipe using 1 cup of flour. To maintain the ratio, how much salt is required when 1 cup of flour is used?

Answers

Answer:

1 / 14 tsp salt

(1 over 14)

Step-by-step explanation:

Let's set the scale factor as x.

So,

2 1/3 * x = 1

Divide both sides by  2 1/3, which is equal to 7/3

x = 1 / (7/3)

x = 3 / 7

So, amount of salt would be written as:

(1/6) * (3/7) =

(1/2) * (1/7) =

1 / 14 tsp salt

2(x+3)=x-4 solving equations

Answers

Answer:

X=-10 most likely

Step-by-step explanation:

2x+6=x-4

2x-x=-6-4

X=-10

Answer:

x= -10

Step-by-step explanation:

2(x+3) = x-4

Distribute to simplify left side, 2x+6= x-4-x both sides, x+6= -4subtract 6 both sides, x=-10

Which statement describes the end behavior of the function f(x) = 8|x − 1| + 13?

A.
As x approaches negative infinity, f(x) approaches negative infinity.
B.
As x approaches negative infinity, f(x) approaches positive infinity.
C.
As x approaches positive infinity, f(x) approaches negative infinity.
D.
As x approaches positive infinity, f(x) is no longer continuous.

Answers

The statement that describes the end behavior of the function f(x) = 8|x − 1| + 13 is:

As x approaches positive infinity, f(x) approaches negative infinity.C.

Let's analyze the function.

The function f(x) = 8|x − 1| + 13 involves the absolute value of x − 1, which means that the expression inside the absolute value will always be non-negative.

x approaches positive infinity, the value of x − 1 also approaches positive infinity.

Since the absolute value of a positive number is equal to the number itself, we can simplify the expression to f(x) = 8(x − 1) + 13.

As x approaches positive infinity, the term 8(x − 1) becomes larger and larger, making f(x) approach negative infinity.

The constant term 13 does not have a significant impact on the end behavior as x becomes increasingly large.

For similar questions on function

https://brainly.com/question/25638609

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What is the range of the data set shown below?

{ 1, 1, 1, 4, 5, 6, 7, 15}

Answers

The range would be 14.

Explanation: you subtract the lowest and highest values in the set of data, which would be 1 and 15

What is the area of this.

Answers

8x16=? 6x12=? Then add both answers ?+?=?

WILL GIVE BRAINLIEST TO THE FIRST NON JOKING ANSWER!!!! PLEASE HELP!!!
Twyla’s pet cat weighs 8 lb. Her pet hamster weighs 12 ounces. What is the ratio of her cat’s weight to her hamster’s weight? (16oz=1lb)

Answers

Answer:

32:3

Step-by-step explanation:

verify/prove the following trigonometric identity:
(cos(x) + 1)/(tan^2(x)) = (cos(x))/(sec(x) - 1)

Answers

I’m not sure but I have to answers questions so I. Can ask one

Which criterion for triangle congruence will determine the congruence of the two triangles?


Answers

The answer is side-side-side

What is the volume of the cone? Estimate using 3.14 for pi, and round to the nearest tenth

Answers

Answer:

V=πr2h3

 

r Radius

h Height

Right circular cone

Answer:

its going to be 21 or 20 I think I'm not sure

Which of the following is equivalent to 2 2/5 ?

Answers

Answer: I believe its 1 7/5. Sorry if its wrong! Have A Nice Day!! <3- Niydia! :)

Solving each equation:
6(-6x+3)=5(1-7x)

Answers

Answer  x=-2.6

 

Step-by-step explanation:

6(-6x+3)=5(1-7x)

-36x+18=5-35x

-36x+13=-35x

-5x=13

13/ -5x

x=-2.6

Find the value of c

-x^2 -22x + c

Answers

Answer:

−(x+11−  square root of 121+c )(x+11+ square root of 121+c)

Step-by-step explanation: hoped I helped

Find the slope of the line

Answers

Answer:

Slope is 2

Step-by-step explanation:

To find the slope of a line, pick two points and do y1-y and x1-x

The two points I picked is (2,3) and (5,9)

y1=9

y=3

----------

x1=5

x=2

Subtract, then put it as a fraction.

6/3 or 2.

10x-2x+12=2(3x+5)+2x

Answers

Answer: is this pemdas? if not there are no true solutions

Step-by-step explanation:

hope i helped

Answer:

the answer to 10x-2x+12=2(3x+5)+2x is 2

Step-by-step explanation:

step 1.

Open the brackets by multiplying the valves in the brackets by 2:

10x-2x+12=6x+10+2x

step 2.

Add or subtract the like-terms : x values.

8x+12=8x+10

step 3.

substitute by bringing like terms together:

12-10=8x-8x

2=0

ans =2

P varies jointly with t and inversely with s. If p = 4 when t = 3 and s = 6, find p when t = -6 and s = 2.

Answers

Answer:

32

Step-by-step explanation:

Someone please help me?

Answers

Answer:

jus press alt f4 and a overlay will open up with all the answers

Step-by-step explanation:

The semicircle below has diameter $20$. Find the area of the blue region.

Answers

We subtract the area of the triangle from the area of the semicircle

Area of the blue region is 61 units²

Area of semi circlearea = π / 2 r²

Therefore,

r = radius

Area of the blue region  = area of semi circle - area of triangle

Therefore,

area of triangle = 1/bh

where

b = base

h = height

Therefore,

area of triangle = 1 / 2 × 12 × 16 = 96 units²

area of semi circle = 3.14 × 10² /  2 = 157 units²

Area of the blue region  = 157 - 96 = 61 unit²

learn more on semi circle here: https://brainly.com/question/24887556

Select the solutions to the equation x^2 - 8x + 20 = 0

Answers

Answer:

x=10,-2

Step-by-step explanation:

An adult elephant that is 8 ft tall casts a shadow that is 4 ft long. Find the height of a
statue that casts a 9 ft shadow.

Answers

Answer: Hope this helps!

18 ft

Step-by-step explanation: Good luck :)

This question sounds confusing but if you just look at the numbers it is much easier.

Elephant height: 8 ft

Elephant shadow: 4ft

Statue height: ?

Statue shadow: 9ft

As you can see the elephant's height is double the size of the shadow, if you put those as ratios the statues height will also be double its shadow, from there just double 9ft and you will get your answer. 9x2=18ft

A trap for insects is in the shape of a triangular prism. The area of the base is 45 in and the height of the prism is 3 in. What is the volume of this trap? The volume of the trap is in.​

Answers

Answer:

17.5 in

Step-by-step explanation:

Which is a solution of the equation?
2x - y = 5
O 7
O (3,-1)
O (2,-1)
O (1,2)

Answers

Answer:

I'm not sure what the answer is, but try Photo math. it helps me so much with my equations, and it'll even tell you the steps to get the answer.

Note: For question 15, your teacher will grade your responses to ensure you receive proper credit for your answers.

Juan and Rita both rode bicycles from the park to Main Street. The graphs below represent the time and distance for each student’s ride. Who rode more slowly? Justify your answer.

Answers

Answer:

Juan rode more slowly, Rita's graph is much steaper than Juan's. This means that she went faster and in less time. Juan took longer time and went on a slower pace. That's why I chose Juan.

Step-by-step explanation:

Good luck! <3

Can someone pleaseeee help and if you’re correct i’ll give brainliest

Answers

Picture is hard to read. Could you type the text?

Erika is painting a rectangular painting. The painting has a length of 12 and a width of 10 inches. Use the Distributive Property to decompose the factor 12. Then find the area of the painting.

Answers

Given:

Length of the painting = 12 inches

Width of the painting = 10 inches

To find:

The area of the rectangular painting by using Distributive Property to decompose the factor 12.

Solution:

The area of a rectangle is

[tex]A=length\times width[/tex]

So, the area of the rectangular paining is

[tex]A=12\times 10[/tex]

Using Distributive Property to decompose the factor 12, we get

[tex]A=(10+2)\times 10[/tex]

[tex]A=(10\times 10)+(2\times 10)[/tex]

[tex]A=100+20[/tex]

[tex]A=120[/tex]

Therefore, the area of the rectangular painting is 120 square inches.

On Monday, the baker makes 36 blueberry muffins. What is the total number of muffins that the baker makes on Monday?

Answers

Well we are only given one number, 36. And there is no other clues to identify any other muffins besides blueberry.

So, the baker makes 36 muffins on Monday

Oh and here is a picture of a bobcat

To prove the circles are similar, which sequence of transformations will map circle A with center (-5, -4) and radius 18 to circle M with center (-2, 3) and radius 6?

Question 15 options:

Translate <3, 7> then dilate by scale factor of 3


Translate <-3, -7> then dilate by scale factor of 3


Translate <-3, -7> then dilate by scale factor of 1/3


Translate <3, 7> then dilate by scale factor of 1/3

Answers

Answer:

Translate <3, 7> then dilate by scale factor of 1/3

Step-by-step explanation:

-2 - (-5) = 3

3 - (-4) = 7

6/18 = 1/3

The sequence of transformation that will map the circle would be:

D). Translate <3, 7> then dilate by a scale factor of 1/3

Define dilation

Dilation is denoted as the process in which an object gets expanded or widened.

Given that,

Center of circle A = (-5, -4)

Radius = 18

Center of circle M = (-2,3)

To find the dilation,

⇒ [tex]-2 - (-5) = 3[/tex]

⇒ [tex]3 - (-4) = 7[/tex]

= [tex]6/18[/tex]

[tex]= 1/3[/tex]

Therefore, the translation will happen with <3, 7> and the dilation in the scale factor being 1/3.

Thus, option D is the correct answer.

Learn more about "Scale Factor" here:

brainly.com/question/22644306

Can you please help me with this I will give brainliest

Answers

Answer:

x

Step-by-step explanation:

you do your x and y on anything

Answer:15

Step-by-step explanation:

width - 6

height - 5

6 x 5 / 2 = 15

(Please tell me if I read it wrong, It's not really clear)

Please help! Thank you. Which rule explains why these triangles are congruent?

Answers

Answer:

AAS

Step-by-step explanation:

Please help me with the questions please ASAP

Answers

Answer:

x = 33

Step-by-step explanation:

Because the parallel lines are intersected by two transversals, some parts of this figure correspond to each other. In order to solve this problem, you need to identify which sides correlate (you can tell they correlate because of the AAA property; if you extend the lines, a triangle with 2 parallel lines intersecting it would be formed, so you would see the three triangles are similar):

9 corresponds to 12

x corresponds to (x + 11)

Now, you need to find the scale factor by dividing 12 by 9:

12 ÷ 9 = 4/3

Since you know the scale factor is 4/3, you can now write and solve an equation:

4/3x = x + 11 (given)

1/3x = 11 (subtract x from both sides)

x = 33 (multiply both sides by 3)

PLS HELP WILL MARK BRAINLIEST

Answers

Answer:

umm hi and plz can i be brainlist i'm new

Step-by-step explanation:

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