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:

[tex]f(x)=\frac{1}{100} (\frac{1}{2})^{x}[/tex]

Step-by-step explanation:

[tex]f(x)=ab^{x} \\\\f(0)=\frac{1}{100\\}[/tex]

⇒ [tex]a=\frac{1}{100} \\\\f(1)=\frac{1}{200}\\ \\a.b=\frac{1}{200} \\\\[/tex]

⇒[tex]\frac{1}{100} .b=\frac{1}{200}[/tex]

⇒b=[tex]\frac{1}{2}[/tex]

⇒[tex]f(x)=\frac{1}{100} (\frac{1}{2})^{x}[/tex]

hope it helps


Related Questions

What value of x makes the equation below true 6x-7=26

Answers

Answer:

11/2

Step-by-step explanation:

6x−7=26

Step 1: Add 7 to both sides.

6x−7+7=26+7

6x=33

Step 2: Divide both sides by 6.

x= 11/2

6x-7=26
+7 +7
6x=33 (divide both sides by 6)
x= 11/2 or 5.5

Hi! Will someone please help me with expanding and simplifying this?:

5(2p+5) + 4(2p-3)

Thanks!

Answers

10p + 25 + 8p -12. Then it is 18p + 13

Whats the answer to these? (These are called Proper fractions.)

Jeremiah ran for 3/10 of a mile and then walked another 2/5 of a mile. How far did he travel in all?

Daniel read 4/5 books and Edgar read 1/2 books. How many more books did Daniel read than Edgar?

Jared drove 2/8 miles to the restaurant. He drove another 1/4 miles to the mall. How many miles did he drive in all?​

Answers

Answer to the first question: 7/10ths of a mile

Explaination: When adding fractions, you need to have a common denominator. Since dividing 3/10 by 2 to get a denominator of 5 makes 3 a decimal, it's easier to multiply 2/5 by 2 to get a denominator of 10. You do the same to the top that you do to the bottom: [tex]\frac{2*2}{5*2} = \frac{4}{10}[/tex]. From there, just add 4/10 and 3/10 to get the answer: 7/10ths of a mile.

Answer to the second question: Daniel read three (3/10) more books

Explaination: Since you can't evenly multiply 5 or 2 to get the opposite number, it's easier to multiply to the lowest common multiple. The easiest way to find that is to multiply both denominators (5*2=10). You'll have to multiply the numerator by the same amount you multipled the denominator by. For Daniel, that would mean: [tex]\frac{4*2}{5*2} = \frac{8}{10}[/tex]. For Edgar, that would mean: [tex]\frac{1*5}{2*5} = \frac{5}{10}[/tex]. So, Daniel read 3 more books than Edgar.

Answer to the third question: 2/4 mile (or 1/2 a mile)

Explaination: 2/8 can be simplified, by dividing the top and bottom by 2, resulting in 1/4. Since both fractions have the same denominator (/4), you can add them to get 2/4ths. This can be simplified further to half (1/2) a mile.

Answer and Step-by-step explanation:

1. Convert [tex]\frac{2}{5}[/tex] to have a denominator of 10.

[tex]\frac{2}{5}[/tex] × [tex]\frac{2}{2}[/tex] = [tex]\frac{4}{10}[/tex]

[tex]\frac{3}{10} + \frac{4}{10} = \frac{7}{10}[/tex]

Jeremiah ran [tex]\frac{7}{10}[/tex] of a mile in total.

2. Convert the denominators of all the fractions to have a 10.

[tex]\frac{1}{2}[/tex] × [tex]\frac{5}{5} =\frac{5}{10}[/tex]

[tex]\frac{4}{5}[/tex] × [tex]\frac{2}{2} = \frac{8}{10}[/tex]

Daniel read [tex]\frac{3}{10}[/tex] more books than Edgar, since 8 books is more than 5 books by 3 books.

3. Convert [tex]\frac{1}{4}[/tex] to have a denominator of 8.

[tex]\frac{1}{4}[/tex] × [tex]\frac{2}{2} = \frac{2}{8}[/tex]

[tex]\frac{2}{8} +\frac{2}{8}= \frac{4}{8}, or\frac{1}{2}[/tex]

Jared drove [tex]\frac{4}{8}[/tex], or [tex]\frac{1}{2}[/tex] miles in total.

#teamtrees #PAW (Plant And Water)

# 12 Find the area of the figure below. 121​

Answers

Answer:

120 ft²

Step-by-step explanation:

12(8) + 4(6) = 120

Answer:

96ft

Step-by-step explanation:

First we can find the rectangle which would be

6*12=72

then we can find the triangle, since their are two triangles we can combine them to make a rectnagle so we can just do

6*4=24

then we can add them together

72+24=96

Can I please have brainliest :)

porfavor necesito ayuda cuanto es -14x>-3

Answers

Balslsiksns kalsosijend f mlosoosk

x < 3 / 14        or       x < 0.2143

Can somebody help me?

Answers

Answer:

Its the 1st answer: A

Step-by-step explanation:

I already knew this.

Answer:

It should be A

Step-by-step explanation:

I hope this helps

Someone please help~~~~~~~

Answers

y the ''~~~~~~~~~~~~~~~~''?

What is the 35th number in the sequence 4, 7, 12, 19, 28,…?

Answers

Answer:

n²+3. is the nth term

Step-by-step explanation:

PLS HELP!!!!!!!! will mark brainliest!! questions 4, 6, 8. im so lost ahhhh

Answers

Answer:

when you ask multiple questions at once, it feels more like i'm doing your HW for you, not that i'm  helping you understand , i'll answer these but you really should have been able to do these if you really did all the others.  Did you just get tired out?  Why can't you do 4, 6, 8?  what is it that you don't understand?

Step-by-step explanation:

4)   old price = 120   to new price = 240

they ask what is the percent change

How much is the change ( in amount )

the "How much is obvious right?  Old price 120 , new price 240.. change is $120

the percent is   change / old price = 120 / 120  = 1  and to put it in percent , multiply by 100 , so 100 % change

6) old price = 250   amount of change -100

so what percent of 250 is 100  

100 / 250 = 0.4   to get it in percent multiply by 100  = 40%

  old price + change = new price

250 +  ( -100)  =  150   new price is $150

8) 5% mark up  , amount of change = $2.50

so 5% of what = 2.50 ?

X* 5% = 2.5

X* 0.05 = 2.5

X=2.5/0.05

X= $50  was the old price

old price + amount change = new price

50 + 2.50 = 52.50

$52.50 is the new price

can someone please help me?!

Answers

Answer:

x = 119

z = 28

Step-by-step explanation:

To find x: Because of same-side exterior angles, you can add x and 61 together to find 180 degrees.

x + 61 = 180

Subtraction: x = 119

To find z: Use given quantities, not found variables for most accurate answer. Because of opposite exterior angles, you can equal them to each other.

61 = 5z - 79

Addition: 140 = 5z

Division: 140/5 = 5z/5

Final Answer = 28 = z

X = 19
Z = 28
Hope this helps

2. Does the graph show a proportional relationship? Explain. *

Answers

Answer:

Yes

Step-by-step explanation:

The two rules for a proportional relationship are

The line is straight (Check)The line goes though the origin (Check)

Because of that it is a proportional relationship.

Hope this helps :)


Write the numeral in the sentence in scientific notation
The distance between two planets is 250,000,000,000 meters.

Answers

Answer:

2.5 x 10^11

Step-by-step explanation:

Answer:

[tex]2.5[/tex] x [tex]10^1^1[/tex]

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  

10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

[tex]2.5[/tex] x [tex]10^1^1[/tex]

Hope this helps.

ifā=r, then which of the following are true statements?
Check all that apply.
O A. n1/r = a
✓ B. = a
c. a1/nur
O D. a' = n.

Answers

Answer:

B. a = rⁿ

C. a¹/ⁿ = r

Step-by-step explanation:

ⁿ√a = r

The above expression can be simplified as follow:

1. ⁿ√a = r

Recall:

ⁿ√a = a¹/ⁿ

Therefore,

a¹/ⁿ = r

2. ⁿ√a = r

Take the n square of both side

(ⁿ√a)ⁿ = rⁿ

(a¹/ⁿ)ⁿ = rⁿ

a = rⁿ

PLEASE HELP! WILL MARK BRAINLIEST!! 12.8 is 25% of what number?? TYSM!!

Answers

Answer:

51.2

Step-by-step explanation:

Answer:

51.2

Step-by-step explanation:

you make a fraction equals this thing:

12.8          25

- --        =      - ---

x                100

12.8*100= 1,280

1,280/25=51.2

the answer is 51.2

someone help please will give brainliest thank you

Answers

Tyson
P=8.9 x 4hrs=35.60$
8.9 x 8hr=71.20$
8.9 x 12hr=106.80$
8.9 x 16hr=142.40$

4hr. 35.60$
1hr. X dollars
X=35.60$/4hrs
X=8.90$

Jamaal
4hr. 38.00$
1hr. X dollars
X=38.00$/4hrs
X=9.50$



can someone do this for me

Answers

Answer:

Step-by-step explanation:

16. Solve the inequality -24 < x- 3 - 8x.
O A.X23
OBX 3
OC.X2-9
D. X 2-3

Answers

Answer: The answer is x<3 but I can't really tell what the answer choices are

Step-by-step explanation:

-24<x-3-8x

-21<-7x

x<3

How many weeks are 14 days?

Answers

Answer:

2.................

Step-by-step explanation:

......................…....

Answer:

2 weeks

Step-by-step explanation:

Each week is 7 days

What are the solutions of this quadratic equation? x2 − 18x + 58 = 0 A. B. C. D.

Answers

Answer:

Step-by-step explanation:

Let's use "completing the square" to solve this quadratic:  x^2 − 18x + 58 = 0

We want to rewrite the terms "x^2 - 18x" in the form '(x - h)^2 - h^2 and leave the terms '58 = 0' as they are:

Taking half of the coefficient of x (which coefficient is -18), we get -9.  We square this -9, obtaining 81, and then rewrite

"x^2 - 18x"   as  "x^2 - 18x" + 81 - 81."  To this we must append '58 = 0":

x^2 - 18x + 81 - 81 + 58, or x^2 - 18x + 81 - 23 = 0

Now the first three terms condense to the expression

(x - 9)^2, which is then followed by "-23":

(x - 9)^2 = 23

Solve this for x.  Taking the square root of both sides, we get

x - 9 = ± √23

so that one root is x = 9 + √23

and the other is x = 9 - √23

Answer: Let's use "completing the square" to solve this quadratic:  x^2 − 18x + 58 = 0

We want to rewrite the terms "x^2 - 18x" in the form '(x - h)^2 - h^2 and leave the terms '58 = 0' as they are:

Taking half of the coefficient of x (which coefficient is -18), we get -9.  We square this -9, obtaining 81, and then rewrite

"x^2 - 18x"   as  "x^2 - 18x" + 81 - 81."  To this we must append '58 = 0":

x^2 - 18x + 81 - 81 + 58, or x^2 - 18x + 81 - 23 = 0

Now the first three terms condense to the expression

(x - 9)^2, which is then followed by "-23":

(x - 9)^2 = 23

Solve this for x.  Taking the square root of both sides, we get

x - 9 = ± √23

so that one root is x = 9 + √23

and the other is x = 9 - √23

Step-by-step explanation: Hope it helps

(1/4)^3 in expanded form

Answers

Step-by-step explanation:

(1/4)^3

the cube root goes for the top part of the fraction and the bottom part of the fraction

((1^3)/(4^3))

4x4x4=64

so the answer is 1/64

Hope that helps :)

Answer:

Standard Form:

23,958

Expanded forms can be written like a sentence or stacked for readability as they are here.

Expanded Notation Form:

23,958 =

20,000

+ 3,000

+ 900

+ 50

+ 8

Expanded Factors Form:

23,958 =

2 × 10,000

+ 3 × 1,000

+ 9 × 100

+ 5 × 10

+ 8 × 1

Expanded Exponential Form:

23,958 =

2 × 104

+ 3 × 103

+ 9 × 102

+ 5 × 101

+ 8 × 100

Word Form:

23,958 =

twenty-three thousand nine hundred fifty-eight

What angle measurement do you think goes between 30 degrees and 60 degrees

Answers

Answer:

[tex]45^{o}[/tex]

What does 48s, s represents

Answers

Answer:

seconds

Step-by-step explanation:

Answer:

48s= number of scarves

Step-by-step explanation:

48 represents the price of scarf

Thank me later :)

please help because I don't know​

Answers

Answer:

is that an exponent?

Step-by-step explanation:

it’s the first one a^m - n

7(x+4)=-21 help find x plz

Answers

Answer:

x = -7

Step-by-step explanation:

Find the value of each variable.

Answers

Step-by-step explanation:

x=15

y=15√3

sure 100%

welcome

Lines m and n are parallel. Which list of angles are all congruent to angle 2?
A. 8, 4, 1
B. 1, 3, 5
C. 4, 5, 6
D. 4, 6, 8

Answers

C. 4,5, 6

hopes this helps

Find the solution set of the inequality
5x + 13 > -37.
x ?

Answers

Answer:

x > -10

Step-by-step explanation:

5x + 13 > -37

subtract 13 from each side:

5x > -50

x > -10

Answer:

X >/ -10 (imagine this is more or equal to symbol lol)

Step-by-step explanation:

1. subtract 13 from both sides

5x +13-13 >/ -37 -13

2. Simplify

5x >/ -50

3. solve for x (which means divide by 5)

5x/5 >/ -50/5

x>/ -10

Bags of sugar come in 3 sizes:

Small bag: A 250 g bag costs 85p.
Medium bag: A 500 g bag costs £1.90.
Large bag: A 3 kg bag costs £3.90.

Calculate the cost of 3 kg for the small and medium bags.
Give your answer in pounds to 2 dp.
Write the bag that is the better value in the comments.

Answers

Answer:3kg of small bag costs £10.20 while 3kg of the medium bag costs £11.40. Hence, the bag with better value which is the cheapest is a 3kg of the big bag which costs £3.9

Step-by-step explanation:

Write an equation of a line with the given slope and y intercept from the graph

Answers

Answer:

y = 1.5x - 1 or y = 1 1/2x - 1 or y = 3/2x - 1

Step-by-step explanation:

y = mx + b

b is the point on the y

y = -1

so

b = -1

now the slope

m = rise/run

m = 3/2

so

y = 1.5x - 1

Plz mark as brainliest if correct!!!

Answer:

y=3/2x-1

Step-by-step explanation:

slope:3/2

y-intercept:-1

y=3/2x-1

Hopes this helps you!!!

Have a great day!!!!!

2x2 - 8xy - 2y2 for x = 6 and y = 5

Answers

Answer:

-236

Step-by-step explanation:

Step 1 (plug in x and y): [tex](2)(6)(2)-(8)(6)(5)-(2)(5)(2)=[/tex]

Step 2 simplify): [tex](24)-(240)-(20)[/tex]

Step 3 (evaluate): [tex]-236[/tex]

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