Find the equation of the exponential function represented by the table below:

Find The Equation Of The Exponential Function Represented By The Table Below:

Answers

Answer 1

Answer:

y = 0.2(0.5)^x

Step-by-step explanation:

Exponential function are of the form

y = ab^x

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

To find "a" plug in x = 0 y = 0.2

0.2 = a(0.2)^0

0.2 = a

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

To find "b" plug in another point and a = 0.2

using x = 2, b = 0.05

0.05 = 0.2b^2

Divide both sides by 0.20

.25 = b^2

Take the square root of both sides

0.5 = b

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

With a = 0.2 and b = 0.5 the equation becomes

y = 0.2(0.5)^x


Related Questions

comments favorite math problem​

Answers

You want math problems???

Answer:

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Step-by-step explanation:

ɪ ᴅᴏɴ'ᴛ ʀᴇᴀʟʟʏ ʟɪᴋᴇ ᴍᴀᴛʜ ʙᴜᴛ ɪꜰ ɪ ʜᴀᴅ ᴛᴏ ᴄʜᴏᴏꜱᴇ ᴀ ꜰᴀᴠᴏʀɪᴛᴇ ɪᴛ ᴡᴏᴜʟᴅ ʙᴇ ᴀʟɢᴇʙʀᴀ!!  (◕ᴗ◕✿)

  ʜᴀᴠᴇ ᴀɴ ᴀᴍᴀᴢɪɴɢ ɴɪɢʜᴛ ᴏʀ ᴅᴀʏ!

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The freight charge on a shipment of 1200 kg is $84.00.
Which is the rate per 100 kg?
A. $0.78
B. $4.00
C. $5.70
D. $7.00
d
E. $10.08

Answers

Answer:

d

Step-by-step explanation:

The freight charge on a shipment of 1200 kg is $84.00. So, the rate per 100 kg would be $7.00. option D is correct.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

It is given that the freight charge on a shipment of 1200 kg is $84.00. we need to find the rate per 100 kg.

So, by the unitary method,

The freight charge on a shipment of 1200 kg = $84.00.

The freight charge on a shipment of 1 kg = 84/ 1200

The freight charge on a shipment of 100 kg = 84/ 1200

                                                                           = 84 x 100/ 1200

                                                                            = $7.00

Learn more about the unitary method;

https://brainly.com/question/23423168

Find the area of the composite figure. Round to the nearest tenth.

A.92.5 sq m
B. 200.5 sq m
C. 257.1 sq m
D. 596.4 sq m

Answers

Answer:

Surface area of figure = 200.52 meter²

Step-by-step explanation:

Given:

Side of square cut = 12 meter

Diameter of semi circle = 12 meter

Find:

Surface area of figure

Computation:

Diameter of semi circle = 12 meter

Radius of semi circle = Diameter of semi circle / 2

Radius of semi circle = 12 / 2

Radius of semi circle = 6 meter

Surface area of figure = Surface area of square + Surface of cylinder

Surface area of figure = [Side x Side] + πr²/2

Surface area of figure = [12 x 12] + (3.14)(6)²/2

Surface area of figure = [144] + (3.14)(36)/2

Surface area of figure = 144 + 56.52

Surface area of figure = 200.52 meter²

hey these are my grades and this weekend is the end of the school year I just need advice on getting my grades up​

Answers

Answer:

Ask you teachers if they can give you extra assignments for extra credit! Sometimes they will!

2
Find the lateral area and surface area of the solid. Keep answer in exact form.
7 ft
7 ft
Lateral Area =
Surface Area =

Answers

Answer:

lateral area = 308 ft

surface area = 616 ft

Find the median value. 1428, 961, 1258, 1324, 1185

Answers

Answer: 1258

Step by Step: Median simply means the middle value

rearrange the numbers from least to greatest

961, 1185, 1258, 1324, 1428

in this set, you can see that 1258 is the middle number

A triangle has side lengths of 10 cm, 24 cm, and 34 cm. Classify it as acute, obtuse, or right.
b. right
obtuse
acute
C.

Answers

Answer:

Im pretty sure the answer is C

Step-by-step explanation:

Because neither cm lengths are more than a 90 degree angle, but im not 100% sure so can you provide a picture of the problem or is that how it actually showed?

A flagpole casts a 40 foot shadow. The angle of elevation grom the tip of the shadow to the tip of the flagpole is 36". How tall is the flagpole

Answers

Answer:

45/22

Step-by-step explanation:

Joey opened a bank account 5 years ago with $100.
Today he has $1,000 in the account.
What is the percentage of increase?
_____%

Answers

$200 a year, for the last 5 years, equal $1,000. That is a 20% increase.

What is the slope of the following table?

x y
-2 3
0 2
2 1
4 0

Answers

Answer:

-1/2

Step-by-step explanation:

Answer is -0.5

Step by step exploration

y=mx+b
M is slope
If we take x=0 and y=2
Then, 2=b

If we take x=4 and y=0
Then, 4m+2=0
m= -0,5

just need help with C would appreciate it​

Answers

Answer:

85%

Step-by-step explanation:

The students who read less than six magazines would be placed in the intervals: 0-1, 2-3, and 4-5 on the graph. Adding up the total amount in those intervals gives us:

2 + 15 = 17

So, using the answer from b, we can say that 17/20 kids read magazines. Now, we need to convert it into a percent by multiplying by 100:

17/20 *100

17 * 5

85%

John's age increased by 11 is 5 less than 5 times his age. How old is he?
If x represents John's age, which of the following equations could be used to solve this problem?
O x + 11 - 5 = 5x
O x + 11 = 5x -5
O x + 11 = 5 - 5x

Answers

The second one I believe is correct. It is saying if you add 11 to johns age it is equal to 5 times his age minus 5
The answer is the last one I believe

1 rod equals how many yards

Answers

Answer:

5.5

Step-by-step explanation:

Answer:

5.5

Step-by-step explanation:

multiply the length value by 5.5

Find the measure of the angle indicated

Answers

Answer:

50?

Step-by-step explanation:

im not sure please think about it, but I think it might be 50

Gabriel servers 80 glasses for fruit juice for a party. He pours 2/3 cup of fruit juice into each glass. How many cups of fruit juice in fractions does Gabriel pour in all?

Answers

Answer:

53 1/3 cups

Step-by-step explanation:

if there are 80 glasses and each glass has 2/3 of juice in it, there will be 53 1/3 cups in total because 80 x 2/3 = 53 1/3

The University of Arizona is monitoring the spread of a bacteria by placing 100 spores of the bacteria at the start of the project. The number, P, of the bacteria is expected to grow according to the differential equation dP over dt equals the product of 0.05 times P and the quantity 1 minus P over 2000, where P t is measured in days. When does the number of bacteria reach 1000?

Answers

Answer:

In 59 days, the number of bacteria reaches 1000.

Step-by-step explanation:

 Given the data in the question;

by placing 100 spores of the bacteria at the start of the project,

p(0) = 100

dP over dt equals the product of 0.05 times P and the quantity 1 minus P over 2000

dp/dt = 0.05p( 1 - p/200 )

2000dp / p( 2000 - p ) = 0.05dt

[1 / p + 1 / 200-p ]dp = 0.05 dt

Now, we integrate

∫[1 / p + 1 / 200-p ]dp = ∫ 0.05 dt

ln p - ln [2000 - p ]  = 0.05 + c'

ln[ p / 2000 - p ] = 0.05 + c'

p / 2000 - p  = [tex]e^{0.05t + c'[/tex]

p / 2000 - p  = k[tex]e^{0.05t[/tex]

Now, since p(0) = 100, we substitute

100 / (2000 - 100)  = k[tex]e^{0.05(0)[/tex]

100 / 1900  = k × [tex]e^{0[/tex]

100 / 1900  = k × 1

k = 1 / 19

Therefore,

p / 2000 - p  = k[tex]e^{0.05t[/tex]

p / 2000 - p  = (1/19)[tex]e^{0.05t[/tex]

when p( t ) = 1000, then t will be;

1000 / (2000 - 1000)  = (1/19)[tex]e^{0.05t[/tex]

1000 / 1000  = (1/19)[tex]e^{0.05t[/tex]

1  = (1/19 ) × [tex]e^{0.05t[/tex]

1/(1/19 )  = [tex]e^{0.05t[/tex]

(1 × 19)/1 = [tex]e^{0.05t[/tex]

[tex]e^{0.05t[/tex] = 19

0.05t = ln( 19 )

0.05t = 2.9444

t = 2.9444 / 0.05

t = 58.888 ≈ 59 days

Therefore, In 59 days, the number of bacteria reaches 1000.

help me, please this is kinda hard

Answers

Answer:

[tex]x = 4.8[/tex]

Step-by-step explanation:

[tex] \frac{3}{4} = \frac{3.6}{x} [/tex]

[tex]3x = 14.4[/tex]

[tex]x = 4.8[/tex]

4.8 hope this helped tell me if I got it wrong please

The are of the triangle below is 9/20 square centimeters. What’s is the length of the base? Express your answer as a fraction in simplest form.

Answers

Answer:

6/5

Step-by-step explanation:

For this you need to clear the formula for the area which is bxh/2=A, now you need to clear the base and the formula would be b=Ax2/h, and would be (9/20)x2/ 3/4 equal to 18/20 / 3/4 and gives the result of 72/60,now you need to simplify and the simplest form is 6/5

The base of the triangle with area of 9 / 20 centimetres squared and height of 3 / 4 centimetres is 6 / 5 centimetres.

Area of a triangle

area of a triangle = 1 / 2 bh

where

b = baseh = height

Therefore,

area = 9 / 20 cm²

height = h = 3 / 4 cm

b = ?

Hence.

area of the triangle = 1 / 2 bh

9 / 20 = 1 / 2 × 3 / 4 × b

9 / 20 = 3 / 8 b

cross multiply

9 × 8 = 20 × 3b

72 = 60b

b = 72 / 60

b = 12 / 10 = 6 / 5

learn more on triangle here: https://brainly.com/question/2773823

Find the range of the data.

4.8,5.5,4.2,8.9,3.4,7.5,1.6,3.8
The range is

Answers

7.3 is the range

Step-by-step explanation:

The range of a set of data is the difference between the largest and smallest values.

The value of the range of the data is,

⇒ 7.3

What is mean by Subtraction?

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

We have to given that;

The data set is,

⇒ 4.8, 5.5, 4.2, 8.9, 3.4, 7.5, 1.6, 3.8

Since, We know that;

Difference between the highest and smallest value of the data set is called range.

Hence, We get;

The value of the range of the data is,

⇒ 8.9 - 1.6

⇒ 7.3

Thus, The value of the range of the data is,

⇒ 7.3

Learn more about the subtraction visit:

https://brainly.com/question/17301989

#SPJ3

all the points i have left
k12 7th grade math answer them both thx

Answers

Answer:

Use geogebra it is a helpful website that helps you plot points, and find where things go. The second one is c. y=25x.

Step-by-step explanation:

you need to put a, b, c, d in the right four spots

Answers

Answer:

A: Southeast

B: Northwest

C: Southwest

D: Northeast

Step-by-step explanation:

Answer:

B: Northwest

C: Southwest

   D: Northeast                     A: Southeast

At a customer service call center for a large company, the number of calls received per
hour is normally distributed with a mean of 130 calls and a standard deviation of 10
calls. What is the probability that during a given hour of the day there will be less
than 129 calls, to the nearest thousandth?
Statistics Calculator

Answers

.460Answer:

Step-by-step explanation:

how many ways can 12 swimmers make it in first, second and third place

Answers

Answer:1320

Step-by-step explanation:Only one person can win first, second and third place. The total number of placers is 12 times 11 times 10.

Answer:

Usig their skills by:

Step-by-step explanation:

Using their strengh, force, move your feet, and arms with strong force to push you ahead faster and faster, if u are really tired I would keep going,

The diagram shows a sphere with center O and a radius of 4 Inches that has been cut by a plane. The cross-section
formed by the plane is shaded.
Which shape is a possible representation of the cross section?

Answers

Answer:

A circle.

Step-by-step explanation:

Ok, any plane has a vector normal to it.

Then the plane that cuts the sphere, has a normal vector.

If we draw that normal vector such that it passes through the center of the circle, we can think of this as the "axis" of a cylinder.

Such that when we step on any point of that vector, all the points of the spere that can be reached with a perpendicular line to the vector (like the radius in polar coordinates) are at the same distance of the vector.

Then we can conclude that when we cut a sphere with a plane, the cross-section will be always a circle.

Then the shape that is a representation of the cross-section is a circle.

A square with a side length of 30 cm is divided into 4 triangles which expression CANNOT be used to find the area of one of the four small triangles
A. 302 divided by 4
B. 1/2(30 x 15)
C. (30 x 30) divided by 2
D. 450/2

Answers

Answer: A

Step-by-step explanation:

50 POINTS !!


PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.


M

Answers

Answer:

72 miles

Step-by-step explanation:

To solve this problem, you can use the pythagorean theorem, which is a^2 + b^2 = c^2. We already have b equal to 54 miles, and since c is the hypotenuse, it equals 90 miles. We can substitute the values into the formula to get:

a^2 + 54^2 = 90^2

a^2 + 2916 = 8100

a^2 = 5184

a = 72 miles

What is the volume of the cylinder below?

Use 3.14 for pi.

Answers

Answer:

V = 502.4 cm³

General Formulas and Concepts:

Symbols

π (pi) ≈ 3.14

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Volume of a Cylinder Formula: V = πr²h

r is radiush is height

Step-by-step explanation:

Step 1: Define

r = 4 cm

h = 10 cm

Step 2: Find Volume

Substitute in variables [Volume of a Cylinder Formula]:                                V = (3.14)(4 cm)²(10 cm)Evaluate exponents:                                                                                         V = (3.14)(16 cm²)(10 cm)Multiply:                                                                                                             V = (50.24 cm²)(10 cm)Multiply:                                                                                                             V = 502.4 cm³

Why is having a variety of plants important in a ecosystem

Answers

Answer:

It is better to have a variety of plants because if the species of plants die out, the whole ecosystem becomes extinct.

Step-by-step explanation:

Can someone please help me with these 2 questions, pleaseeeee explain them too. :) Im also giving brainliest and this is worth 15 points.

Answers

Answer:

For the first one, the carpenter problem, the answer is F 5/6 • 16/5
For the second one I’m pretty sure is G

Please help me I’m so lost PLEASE NO SCAMMING

Answers

Answer:

the buttons are alredy on the calculator.

Step-by-step explanation:

7. You press and hold down the Alt button on your keyboard and then type 251 on your number pad located to the right of your keyboard. Or if it’s a hand held calculator you switch to secondary function and locate the symbols in red/blue underneath the original key.
8. Plug in your answer back into the the problem or invert the question so like instead of addition you subtract the product from one of the subjects in the original equation.
9. You can type a fraction into a calculator by placing the numerator first then inserting a forward slash and then your denominator.
I hope that helps, let me know if you have any more questions. Have a good day!
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