write an exponential function in the form y = ab^x that goes through points (0,20) and (8,5120)

Answers

Answer 1

9514 1404 393

Answer:

  y = 20·2^x

Step-by-step explanation:

Use the given points to write two equations, then solve for 'a' and 'b'.

  20 = a·b^0 = a

  5120 = a·b^8 = 20·b^8   ⇒   256 = b^8

  b = 256^(1/8) = 2

Your function is ...

  y = 20·2^x


Related Questions

Given the linear equation 5x+3y-9=0. Write another linear equation in two variables such that the geometrical representation of the pair so formed are parallel lines​

Answers

Answer:[tex]5x+3y+1=0[/tex]

Step-by-step explanation:

Given

The linear equation is [tex]5x+3y-9=0[/tex]

The other linear equation parallel to the given line can be represented by

[tex]5x+3y+c=0[/tex]

Here, c can take any value . for example c=1, line becomes

[tex]\Rightarrow 5x+3y+1=0[/tex]

What’s the answer for this

Answers

Answer:

4) y + 3 = 6x

Step-by-step explanation:

The y-intercept of your graph is (0, -3)

Putting 4) in standard form:

y = 6x - 3 the y-intercept is also (0, -3)

The answer is 4 don’t ask me how. I just know.

help me solve for m<4 and m<5 and x

Answers

Answer:

x = 18

Angle 4 = 31 degree

Angle 5 = 59 degree

Step-by-step explanation:

According to the question, angle 3 is 90 degree and the sum of angle 4 and 5 is equal to the angle 3 as they are vertically opposite angles.

Angle 4 + angle 5 = 90 degree

Angle 4 = 2 x - 5

angle 5 = 4 x - 13

So, according to the question,

2 x - 5 + 4 x - 13 = 90

6 x - 18 = 90

6 x = 108

x = 18

So, angle 4 = 2 (18) - 5 = 31 degree

So, angle 5 = 4 (18) - 13 = 59 degree

B.
If m ZACB = 180°, and mZACD = 55°, then
mZDCB = [?]
Enter

Answers

Answer:

125

Step-by-step explanation:

/_ ACB = 180

/_ ACD = 55

/_ ACB is made up of /_ACD and

/_ DCB

Hence, /_ ACB = /_ ACD + /_ DCB

*We then plug in the known values*

180 = 55 + /_ DCB

We now solve for the missing angle

Subtract 55 from both sides

125 = /_ DCB

a cone with base circumference 6 pi and
a height equal to half the radius

Answers

The height is 1.5
The volume is42.39

A cone with a base circumference of 6 pi and a height equal to half the radius. The volume of the cone is 42.39.

What is the volume of a cone?

The volume of the cone is the product of one-third of the height, pie, and square of the radius.

The volume of the cone = 1/3 [tex]\pi r^{2} h[/tex]

A cone with a base circumference of 6 pi and a height equal to half the radius.

The circumference of the circular base = 2πr

                                                        6π  =  2πr

                                                          r = 3

The radius of the circular base of a cone is 3 unit.

A height equal to half the radius. Thus, the height is 1.5

The volume of the cone = 1/3 [tex]\pi r^{2} h[/tex]

                                         = 1/3 (3.14) (9)(1.5)

                                         =  42.39

Learn more about volume;

https://brainly.com/question/1578538

#SPJ2

Under any given transformation, an image is an original image while the pre-image is the new image.

A. True
B. False

Answers

Answer:

This has some fact to it. Its sorta tricky but I'd say False.

Step-by-step explanation:

What is a solution of -8x+5>=11
A.-1/2
B.3
C.0.25
D.-1

Answers

Answer:

i got -2

Step-by-step explanation:

1 step; 8*x-5-(11)=0

2 step; 8x - 16  =   8 • (x - 2)

3 step;  Solve :    8   =  0

4 step; Solve  :    x-2 = 0

final part  Add  2  to both sides of the equation :  

                     x = 2

I need this answer asap omg it’s the last question on my final lord

Answers

Answer:

oh lord may we put our head down and pray this manz aces his test or whatever it is amen.

The polygons are similar, but not necessarily drawn to scale.

Answers

C, 9 because the scale factor is 1.5 so 6x1.5
The answer is 9.
18/27 = 2/3 and 6/9 = 2/3

can someone help me solve the inequality-2x+4>8 with the steps? Thanks

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\rm{-2x + 4 > 8}[/tex]

[tex]\large\textsf{SUBTRACT 4 to BOTH SIDES}[/tex]

[tex]\rm{-2x + 4 - 4 > 8 - 4}[/tex]

[tex]\large\textsf{CANCEL puts 4 - 4 because that gives you 0}[/tex]

[tex]\large\textsf{KEEP: 8 - 4 because that helps solve for the x-value}[/tex]

[tex]\rm{8 - 4 = \boxed{\bf 4}}[/tex]

[tex]\rm{NEW\ EQUATION: -2x > 4}[/tex]

[tex]\large\textsf{DIVIDE -2 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{-2}{-2}>\dfrac{4}{-2}}[/tex]

[tex]\mathsf{CANCEL\ out: \dfrac{-2}{-2}\ because\ that\ gives\ you\ 1}[/tex]

[tex]\mathsf{KEEP: \dfrac{4}{-2} \ because \ it \ helps \you \ compare\ to \ the \ x-value }[/tex]

[tex]\mathsf{\dfrac{4}{-2} = \boxed{\bf -2}}[/tex]

[tex]\rm{\bold{x < -2 }}[/tex]

[tex]\rm{It\ is \ an\ O PENED \ circle \ shaded \ to \ the \ left \ side \ of \ the \ number \ line}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: } \mathsf{\bf x < -2}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

henry who is 3 years younger than sandra is 14 write an equation to represent sandras age

Answers

s = 14-3 (s being sandras age)

Not sure what it means pls help

Answers

It would be 16 π sq units!

The drama teacher wants to determine whether more students at the school would attend a comedy or a musical performance. Select all the following that would NOT help the drama teacher draw conclusions about which performance more students would attend.

A. Students who do not act.


B. Every 4th student selected from an alphabetical list of all students at the school.


C. Students who are in drama club.


D. Students who are in theater class.


E. The same number of students from each grade whose names are randomly selected from a hat.

Answers

Answer:

Option C and D

Step-by-step explanation:

The teacher wants to evaluate how many students will attends the comedy class and how many will attend the musical performance. Hence, He must be able to determine the number of students attending the drama club and theatre club as this will help him in determining the approximately correct number of students attending comedy or music class.

Hence, option C and D are correct

find hcf and LCM of 40 ,60 and 80​

Answers

hear here is your answer in attachment attach

Answer:

Step-by-step explanation:

40 = 2*2*2*5  

60 = 2 * 2 * 3 * 5

80= 2 * 2 * 2 * 2 * 5

LCM = 2 * 2 * 2 * 2 * 5 * 3 = 240

HCF = 2*2*5= 20

Please help
this is important (is a activity )

Answers

Answer:

y = 5

Step-by-step explanation:

This is a horizontal line.  The value of y does not change

The equation is of the form y = constant

y = 5

Answer:

y = 5

Step-by-step explanation:

PLEASE HELP. !!!!!!!!!!

Answers

Answer:

the last one bottom right

Step-by-step explanation:

well, did it in my head, but the idea is to calculate it out

(x-8)*(x-8)=50

is just

x²-16x+64=50

to get the 64 down to just 5, we need to subtract 59, on both sides, leaving us with -9 on the righthand side

the answer was is the last one
hope that helps

Use the tangent ration to find the height of the tree. Round to next whole number.

Answers

Answer:

74.8925767 rounded to 75

Step-by-step explanation:

Identify the slope and y-intercept for the line y = -2x -3.

Answers

Answer:

The slope is -2 and the y intercept is -3

Step-by-step explanation:

y = -2x -3

This equation is written in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The slope is -2 and the y intercept is -3

Please help me ASAP and i mean ASAP

Answers

Answer:

no

Step-by-step explanation:

no

someone help me answer these two​

Answers

1. Domain (6, 3) to (11, 2)
Range (9,0) to (6,3)
Not a function because two inputs cannot share the same output

2. Domain (1, 50) to (5, 200)
Range (1,50) to (5, 200)
Yes it is a function

10 points!
If you are going to answer, actually answer!

Answers

Answer:

1/27

Explanation:-

(1/3)^3=(1x1x1)/(3x3x3)=1/27

Answer:

0.03703703703 or

                                                                                                                                 ²/27

sorry i am late but still hope I helped

Step-by-step explanation:

Which option please I need help ASAP reply ASAP

Answers

Answer:

The answer is probably c

Step-by-step explanation:

its deducted by the x axis

Answer:

B

Step-by-step explanation:

(please help) Find m

Answers

Answer:

[tex]m\angle MLK=78^{\circ}[/tex]

Step-by-step explanation:

The Base Angle Theorem states that the base angles of the two equal legs of an isosceles triangle are equal. Since there are 180 degrees in a triangle, we have:

[tex]m\angle MLK+51+51=180,\\m\angle MLK +102=180,\\m\angle MLK=\boxed{78^{\circ}}[/tex]

Share $150 among John, Mary, and Sarah so that each of the two girls receives twice as much as John. Calculate the amount of money Jon received.

Answers

They get 60 dollars each Sarah and Mary and John gets 30 dollars because 60+60=120 and add 30 and it is 150 and 30 is half of 60

The boys and girls soccer clubs are fundraising for new uniforms. The boys soccer club is selling candy bars for $2 a piece. The girls soccer club is selling candles for $4. They must raise more than $800. The girls expect to sell at least 100 candles. Write a system of inequalities to represent the situation
Inequality 1:
Inequality 2:

Answers

Answer:

2b + 4c = 800

c > 100

Step-by-step explanation:

The two linear inequalities are 2S+4C>800

and C[tex]\geq[/tex]100

It is given that The boys soccer club is selling candy bars for $2 a piece. The girls soccer club is selling candles for $4.They must raise more than $800. The girls expect to sell at least 100 candles. We have to write this situation in system of linear equality

What is system of linear inequalities?

A system of linear inequalities in two variables consists of at least two linear inequalities in the same variables.

The soccer ball is denoted by S and Candles by C

Therefore 2S+4C>800 (We use > symbol for More than)

and C[tex]\geq[/tex]100

To learn more about linear inequalities:

https://brainly.ph/question/11773421

#SPJ2

Which of the following equations will be the graph of a parabola?


y = 5x + 12

y = x^2 - 2x + 3

3x^5 - 6x^3 + 4x + 12

y = 2 ⋅ 3^x

Answers

Answer:

Y=x^2 -2x + 3

Step-by-step explanation:

it's quadratic like:-)

How many solutions does the system have?

4x−6y=−24
2x−3y=−6

Answers

Answer:

none

Step-by-step explanation:

if we plot it, it's clear, but you might also spot that the plotted lines will be parallel in the equation

because x and y in line two are the same multiple of these in line one (both values are just the half)

plotted with desmoes

I NEED HELP ASAP IM STRESSJNG OUT

Answers

Answer:

A

Step-by-step explanation:

Using the Sine rule in Δ ABC

∠ B = 180° - (30 + 50)° = 180° - 80° = 100° ( sum of angles in triangle ) , then

[tex]\frac{13}{sin100}[/tex] = [tex]\frac{BC}{sin30}[/tex] ( cross- multiply )

BC × sin100° = 13 × sin30° ( divide both sides by sin100° )

BC = [tex]\frac{13sin30}{sin100}[/tex] ≈ 6.6 ( to the nearest tenth )

✨Please help me :) ✨

Answers

Answer:

Jaden would have to save $25 each week for next 6 weeks to get the $290 bike.

Step-by-step explanation:

What do we know:

He has $140 to start withHe saves $25 each weekHis bike costs $290

What are we solving for;

We are solving for x (number of weeks it would take Jaden to buy a $290 bike), when y = 290

Equation would be:

y = 25x + 140

So for Jaden to buy a $290 bike, y would have to be replaced with 290, and solve for x;

y = 25x + 140

=> 290 = 25x + 140

=> 290 - 140 = 25x

=> 150 = 25x

=> 150 / 25 = x

=> 6 = x

Therefore, Jaden would have to save $25 each week for next 6 weeks to get the $290 bike.

Hope this help!

Find the perimeter & area of the following shape.Hint: Look to the opposite sides to figure out the missing sides.

Answers

Answer:

Perimeter=110mm

Area=370mm²

Step-by-step explanation:

In Attached pictures

please give me brainliest if it help you

Other Questions
Which of the following islands is considered part of Australia?A. TasmaniaB. SeychellesC. MadagascarD. Hawaii Building your muscles prevents 6. A ball rolled 125 m from the top of a hill to the bottom of a hill. How long did it take for the ball to roll if the average velocity was 5m/s? * Consider this right triangle. What is the value of sin(B)? Chin was shown the graph of a line that contained point (1, 7). He wrote f(x) = 4x + 3 to correctly represent the line. Which of these equations could represent the same line?y 7 = 3(x 1)y 1 = 3(x 7)y 7 = 4(x 1)y 1 = 4(x 7) What is the resistance of a lamp, which draws a current of 3A from a battery whose e.m.f is 12V ? The oxidation of a chemical occurs when It loses electrons It gains electrons It shares electrons All the above Which two of the following most likely violate a right in the Bill of Rights?A president tries to shut down newspapers that criticize his or her actions.A group of high school students decides to pray together in the cafeteria during lunch.A school principal censors a yearbook photo that shows a student wearing an offensive t-shirt.A person is arrested and questioned for hours before being allowed to call a lawyer.A state legislature passes a law banning the carrying of firearms in government buildings. 18. What is the name of the 1st two individuals that are crossed in abreeding experiment? *F1 generationP generationF2 GenerationF3 GenerationM Generation is math an easy subject Answer the question in the picture below I have to write an essay about: The human and the inhuman in Joseph Conrads Heart of Darkness.If you could give me idea to put in here or help me with the framework/outline it would be great :) Joaqun no pasa mucho tiempo consu familia.Cierto o Falso?O ciertoO falso Find the average of 40.6, 10, 0.7, and 120.02 which part of the passage provides details that are also in the image from the talkative tortise Anita can clean a typical pool in 8 hours. Chao can clean a typical pool in 6 hours. How long should it take Anita and Chao working together to clean a typical pool? Show all your work. Leave your final answer as an integer or a reduced fraction.NEEED HEELP WILL GIVE BRAINEST Camelot Company has estimated the following costs for this year for 50,000 units: Manufacturing Selling and Administrative Variable $100,000 $ 25,000 Fixed 150,000 75,000 Total $250,000 $100,000 What is the initial selling price needed to obtain a target profit of $50,000 using the manufacturing cost markup method Is this a claim Teachers who give group grades on school projects encourage teamwork amongst students List the numbers in order from least to greatest:4, -6, 0, 8, -9, 1, -3 "Menciona y explica 5 ideas del liberalismo"Ayuda [cry]