What are the values of a and b?
a=
b=

What Are The Values Of A And B?a=b=

Answers

Answer 1

Answer:

The values of a and b are:

a = 2[tex]b=4[/tex]

Step-by-step explanation:

Given the exponential model

[tex]y=a\cdot \:b^x[/tex]

Given the points

(0, 2) and (3, 128)

We know that the y-intercept of [tex]y=a\cdot \:b^x[/tex] is (0, a).

so

a = 2

putting x = 3, y = 128 and a = 2

[tex]y=a\cdot \:b^x[/tex]

[tex]128=2\cdot \:b^3[/tex]

Switching sides

[tex]2b^3=128[/tex]

[tex]\frac{2b^3}{2}=\frac{128}{2}[/tex]

[tex]b^3=64[/tex]

Taking the real value such as:

[tex]\mathrm{For\:}x^3=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt[3]{f\left(a\right)}[/tex]

so

[tex]b=\sqrt[3]{64}[/tex]

[tex]b=\sqrt[3]{4^3}[/tex]

[tex]b=4[/tex]

Therefore,

a = 2[tex]b=4[/tex]

Related Questions

what number is 33 1/3 of 66
ok so ik that the answer is 22 I think but I wanted to know how to set the answer up. ​

Answers

Answer:

22

Step-by-step explanation:

When youre trying to find a fraction of a number, you can divide the number by the fraction.

For instance:

1/3 of 66: 1/3 × 66 = 22

1/2 of 66: 1/2 x 66 = 33

Doris traveled 153 miles on Tuesday. She traveled 270 miles on Wednesday. How many more miles did she travel on Wednesday than she did on Tuesday?

Answers

Answer:

117

Step-by-step explanation:

270 -153=117

the area of a face of a cube is 144cm^2 . find its volume​

Answers

Step-by-step explanation:

1 face area = length x width (aka length x length since cube)

therefore 1 side = ±√144 cm = 12 cm or - 12cm (rej as length > 0cm)

volume = length x width x height = 12 x 12 x 12 = 1728cm^3

Topic: Mensuration

If you would like to venture further into mathematics, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

Jill and Erika made 4 gallons of lemonade for their lemonade stand. How many liters did they make? If they charge $ 2.00 per liter.

How much money will they make if they sell everything?

Answers

Ncndnsbssbbzbabbabababsbbsbd
So if they charge $2 per liter we need to convert gallons to liters which we get about $3.79 per gallon. Which means to get your answer we would have to multiply the gallons they make. So we would get 4 x 3.79 giving us an estimated answer of $15.16 for the 4 gallons of lemonade:)

PLEASE HELP! Find the cosine of angle G. Write your answer in simplified, rationalized form. Do not round. (see attached image)

Answers

Answer:

2/5

Step-by-step explanation:

4+19=25

square root of 25 is 5 so

adjacent over hypotenuse is 2/5

this might be wrong but I think this is how u do it

Answer:

just follow this formula

cos=adjacent over (divided by) hypothenuse

Step-by-step explanation:

answer 2 over √19

Solve: 2x - 3 = 4x + 5

Answers

The answer is X=-4 , mark me brainless

Part 1
Write your own real-world scenario where the Pythagorean Theorem can be applied to find a missing piece. You may choose to write a problem that is two- or three-dimensional in nature. Be sure that you will be able to draw a diagram of your scenario.

Write out your problem and submit it for Part 1. Be sure to end your scenario with a question.

Part 2
Draw a diagram of the scenario you created in Part 1. You may draw by hand and scan and upload your drawing or create a computer-generated drawing for submission. Be sure to label all parts and dimensions of the drawing.

Part 3
Solve the question that you posed in Part 1. Show all of your steps in answering the question.

For this option, you will need to submit all three parts for full credit—your real-world problem and question, the diagram that you created, and your work solving the problem, showing all steps.

Answers

Answer:

Step-by-step explanation:

1. You have a ladder that is 10 feet tall and you place it on the ground 6 feet away from your house, which you plan to paint. How far up will the ladder reach? (Ans: 8 feet)

2. I think drawing a diagram of this is pretty self-explanitory. Just remember to lable the ladder as 10 feet, the ground as 6 feet, and the house as 8 feet.

3. There wasn't really an equation in the question, but if you draw a triangle you'll need to solve for the third side. It would be 8 feet, but if you consider the pythagoran therom:

100ft(c^2, the hypotenuse, or the ladder)- 36 ft(a^2, or the ground)= 64, the square root of 64 would give you 8. You can write it out symbolically, but I'm typing and there's not much I can do on here.

Find the slope of the line that passes through (4, 9) and (6, 10).

Answers

Answer:

y = 4/5x + 14/5

Step-by-step explanation:

yee

A function, f(x), represents the distance a car travels over time. The line tangent to the function at x=1 is y=0.6x+0.9. The line tangent to the function at x=4 is y=2.1x-3.2. The line tangent to the function at x=6 is y=4.6x-16.3.

Answers

9514 1404 393

Answer:

  0.6

Step-by-step explanation:

The instantaneous rate of change at any point on a curve is the slope of the tangent line at that point.

At x=1, the tangent line is given as ...

  y = 0.6x +0.9

The slope of that line is the coefficient of x, 0.6.

The instantaneous rate of change of f(x) at x=1 is 0.6.

Please help me with this thanks

Answers

Answer:

no

Step-by-step explanation:

No, because none of the factors of 29 equal to -1

A game board consists of 64 squares that alternate in color between black and white. The figure below shows square $P$ in the bottom row and square $Q$ in the top row. A marker is placed at $P$. A step consists of moving the marker onto one of the adjoining white squares in the row above. How many 7-step paths are there from $P$ to $Q$ ? (The figure shows a sample path.)

Answers

9514 1404 393

Answer:

  A)  28

Step-by-step explanation:

Of the seven moves, 3 must be to the left, and 4 must be to the right. That is, we end up exactly one space right of where we started, so there must be exactly one more move to the right than to the left.

The number of permutations of LLLRRRR is 7!/(4!·3!) = 35. Of those, several must be eliminated, because they result in a path that goes off the right side of the board.

The discounted sequences are ...

LRRRRLLRLRRRLLRRLRRLLRRRLLLRRRRLLRLRRRLRLLRRRRLLL"

With these 7 possibilities eliminated from the list, there are 35 -7 = 28 possible paths from P to Q.

Colton's Gym charges an initiation fee of
$40 plus a monthly fee of $50. Which
of the equations below shows the cost
c of joining the gym for m months?
O c = 50 + 40m
O c = 40 + 50m
C + 40 - 50m

Answers

Answer:

c = 40 + 50m

Step-by-step explanation:

40 is a constant, it is not affected by the number of months the person works out at the gym for.

There is a monthly fee of $50. So, every month Colton gets charged $50, so this is the variable.

The total cost would be represented by the equation c = 40 + 50m then.

Let's look at this using a number for m.

If Colton went to the gym for 2 months then we can set up the equation like this:

c = 40 + 50(2)

c = 40 + 100

c = 140

Therefore he spends a total of $140 for 2 months.

Hope this helps!

- Kay

Based on the information in the diagram, can you prove and explain that the figure is a
parallelogram?
a. Yes; both pairs of opposite sides are congruent.
b. Yes; both pairs of opposite angles are congruent.
c. Yes; one pair of opposite sides are both parallel and congruent.
d. Yes; one pair of opposite angels are congruent and one pair of opposite sides are congruent.
e. No; you cannot prove that the quadrilateral is a parallelogram.

Answers

I believe the answer is C.

Simplify each algebraic expression by combing like terms 7x^2-5x+10x-8x^2

Answers

Answer: -x^2 + 15x

Step-by-step explanation:

You just add the 7x^2 with the -8x^2 which gives you -x^2. Then you add the 10x with the -5x and get 5x.

If 1/2 cup of white sugar is needed for one batch of oatmeal raisin cookies, how much white sugar is needed for 8 batches of cookies?

Answers

Answer:

4 cups

Step-by-step explanation:

For one batch of cookies you'll need 1/2 cup of sugar. 8 batches of cookies is 8 times the amount of batches of one batch of cookies. So, if the amount of batches is multiplied by 8, then we need to multiply the amount of sugar by 8 as well:

1/2 * 8 = 8/2 = 4/1 = 4

4 cups of white sugar are needed for 8 batches of cookies.

A charter airline finds that on its Saturday flights from Philadelphia to London all 180 seats will be sold if the ticket price is $200. However, for each $3 increase in ticket price, the number of seats sold decreases by one. (a) Find a formula for the number of seats sold S if the ticket price is P dollars.

Answers

Answer:

[tex]S = -\dfrac{1}{3}P+\dfrac{740}{3}[/tex]

Step-by-step explanation:

Given that:

Number of seats sold is 180 with ticket price $200.

Number of seats decreases by one when the ticket price is increased by $3.

To find:

The formula for the number of seats sold (S) when the ticket price is P dollars.

Solution:

It is linear dependency of number of seats sold, S on ticket price, P.

[tex]S\propto P[/tex]

It can be written as:

[tex]S = kP+C[/tex]

Where [tex]k[/tex] is the constant of proportionality and

[tex]C[/tex] is a constant.

Now, putting the given values:

[tex]180 = 200k +C ..... (1)[/tex]

[tex]179 = 203k+C[/tex] ...... (2)

Subtracting (1) from (2):

[tex]3k = -1\\\Rightarrow k =-\dfrac{1}{3}[/tex]

Putting the value in (1):

[tex]\Rightarrow C = 180+\dfrac{200}{3} = \dfrac{740}{3}[/tex]

Therefore the equation becomes:

[tex]S = -\dfrac{1}{3}P+\dfrac{740}{3}[/tex]

Can someone show an example of Inverses of Functions
Because I do not understand that subject

Answers

Answer:

I believe you mean algebra and inverses when you change it to solve inequalities.

Step-by-step explanation:

Let's use -3 + 4 as an example. In order to change the function, you will switch the sign. (In this case, we change "+" into ")

At this same time, you must change the sign in front of the numbers. (Positive signs become negative and negative signs become positive.

So, -3 + 4 is the same thing as 3 - -4.

3 - 4 = -1

-3 + 4 = 1

Tip: When subtracting a negative number, the answer is likely to go up instead of down.

I hope this helps! I did my best :)

3 times the sum of one third of a number and 8 is 11

Answers

Answer:

3([tex]\frac{1}{3}[/tex]x+8)=11

Step-by-step explanation:

It says 3 times the sum of one third of a number and 8, so we group that expression into the parentheses. Since there is a key word is, we need to put an equal sign.

The points (-1,-6) and (-3,t)fall on a line with a slope of -5 . what is the value of t?

Answers

Answer:

t = -4

Step-by-step explanation:

[tex]\frac{6 - t}{-1 - (-3)}[/tex] = -5

[tex]\frac{6 - t}{2}[/tex] = -5

6 - t = 10

-t = 4

t = -4

In the morning, a farm worker packed 3 pints of berries every 5 minutes. In the afternoon, she packed 4 pints of berries every 6 minutes. What was the difference between her morning and afternoon packing rates in pints per hour?

Answers

Answer:

1/15

Step-by-step explanation:

Determine if the triangles are congruent. If so, write a congruence statement. Explain your reasoning in a short paragraph proof.
PLS Help I'M IN A RUSH
BRAINLIEST WILL BE MARKE FOR THE BEST ANSWER GIVEN

Answers

Answer: Yes

Step-by-step explanation:

The Vertical angle would show that 2 of the angles are exactly the same. Its also given 2 lines that are marked as congurent. Since we know that angle and the lines are congruent we can also say that angle IFJ is congruent to angle IHG meaning that they are congruent because of ASA (Angle Side Angle Theorem)

Congruent triangles have equal corresponding sides lengths and angle measures.

The triangles are congruent by ASA

From the attached figure, we have:

[tex]\mathbf{HI \cong IF}[/tex]

Lines HG and JF are parallel lines.

It means that:

Angles G and F are corresponding, and also angles at I in both triangles are vertical angles.

So, we can conclude that both triangles are congruent by ASA

Read more about congruent triangles at:

https://brainly.com/question/12413243

Bradly can earn extra money by mowing lawns. His neighbors will pay him 3.00 for each lawn that takes him 3/4 of an hour. What is the amount of time in extra hours, that Bradley would have to spend mowing lawns to be able to buy a second $48 ticket for his brother.

Answers

Time for which Bradly has to mow lawns to get $48:

We know that Bradly earn $3 every 3/4 hours of mowing lawns

Time taken by Bradly to get $1:

time taken by Bradly to get $1 = time taken to get $3 / $3

time taken = (3/4) / 3

time taken = 1/4 hours / dollar

Time taken by Bradly to get $48:

Time taken to get $48 = time taken to get $1 * 48

Time taken to get $48 = 1/4 * 48

Time taken = 12 hours

Therefore, after 12 hours of Mowing lawns, Bradly will have $48

simpifly 24/36
...........................

Answers

Answer: 2/3 would be the simplified form

Step-by-step explanation: Hoped this helped!!!

Answer: 2/3

Step-by-step explanation:

If 5, 8 are two adjacent terms in an arithmetic sequence (in that order), then the next term is

Answers

Answer:

11

Step-by-step explanation:

Given that:

Two adjacent terms of an arithmetic sequence are given as 5, 8.

To find:

The next term = ?

Solution:

First of all, let us learn about an arithmetic sequence and its property.

An Arithmetic sequence (sometimes known as Arithmetic Progression or an AP), is a sequence in which there is a common difference between every two terms.

Suppose, an arithmetic sequence is:

[tex]a, b, c, d[/tex]

Then common difference = [tex]b-a=c-b=d-c[/tex]

Let the next term in the given sequence be [tex]x[/tex].

Then as per the property of an Arithmetic sequence, we can say:

[tex]8-5=x-8\\\Rightarrow x=3+8\\\Rightarrow x =\bold{11}[/tex]

Therefore, the answer is: 11

PLLLLLZZZZZ HEEEEEELP
leaves on deciduous trees turn bright colors in the fall due to:

a
Chemicals in the leaf
b
nutrients getting cut off by the tree to the leaves
c
Cold weather
d
too much water

Answers

Answer:

a i think

Step-by-step explanation:

B is the answer I think

six notebooks cost 720- Find
the cost of 5 notebooks​

Answers

Answer:

$600

Step-by-step explanation:

first, you need to find the unit price which is found by dividing 720 by 6.

so, 720/6 is 120

then, to find the cost of 5 notebooks, you just need to multiply 120 by 5

which would get you 600.

therefore, the total cost of 5 notebooks is $600.

i hope that helps :)

Answer:

600

Divide 720 from 6

= 120

120 x 5 = 600

3.f(-4)-3.g(-2) please help me with this problem

Answers

Question:
3.f(-4)-3.g(-2) please help me with this problem

Answer:
-12f + 6g

Step by step explanation:

define photosynthesis​

Answers

Step-by-step explanation:

the process by which green plants and some other organisms use sunlight to synthesize nutrients from carbon dioxide and water. Photosynthesis in plants generally involves the green pigment chlorophyll and generates oxygen as a by-product.

WILL MARK BRAINLIEST Given angle SUN is congruent to angle TAN, we can conclude that s=a, su=tn sn=tn, un=ta, or t=u

Answers

Answer:

SN=TN

Step-by-step explanation:

When determining congruency (if that's a word) S will always equal T

U will always equal A and N will always equal N

So SN= TN

0=x^2+4x+1. Khan academy

Answers

Now, to find 'x' you will apply the Null Factor Law. This means you will now let 'x' = 0, and simply move the -2 over to the other side to find your answer. Note: since we are using a perfect square, x will only have one value since there is only one answer (x-2) in the brackets, meaning in this case we can ignore the exponent (as the answers will be the same). If there was more than one answer in the bracket (e.g. (x-4) and (x-6)), then we would apply Null Factor Law to both brackets and solve for x.

(x−2)=5

x=5+2

x=7
Other Questions
The length of a rectangle was measured to be (6 + 0.01) cm and its width was measuredto be (4 0.01) cm, then the percentage of error in measuring the perimeter ofthe rectangle is(a) 0.2%(b) 0.4 %(c) 0.1 %(d) 2 % Women had expanded roles in the American West during the mid-1800s, andsome worked outside the home. Which job would a pioneer woman mostlikely have held?A. DoctorB. LawyerC. TeacherD. Miner Which of the following values of x make the following functions equal? y =4x+6 and y=5x+3 3241 I need this fast, please.True or False?Using a condom is a guaranteed way to prevent genital herpes. Pushing a door closed is an example of force. true or false There are 12 boys and 16 girls in a classroom. Which represents the simplified ratio of girls to students in theclassroom? What is the solution to the equation -4(2x + 3) = 2x + 6 - (8x + 2)?A. x = -10B. x = -8C. x = - 5/2D. x = -4/7 Place the Levels of organization in hierachical order from smallest to largest1. Cells2. Tissues3. Organs4. Atoms5. Molecules6. Organisms7 Organelles 1. In Model 1 a pathogen (virus, bacteria, foreign protein, parasite) has entered the bloodstream ofan individual. Describe the symbol that represents the pathogen.And if possible answer #3, I will mark brainiest Which statement about the cell membrane is true?It contains cellulose and sugars that are involved in communication.It is present in animal cells only.It is rigid and elastic for supporting the cells shape.It prevents harmful substances from entering a cell. A gas mixture contains each of the following gases at the indicated partial pressures: N2, 211 torr ; O2, 135 torr ; and He, 158 torr . What is the total pressure of the mixture What is an appropriate response when an interviewer asks what salary you are looking forduring your initial interview? Would the response change if you'd been given an offer? Contrast the population density of northern Mexico with southern Mexico. v=r-s/2 solve for r how to write a travel diary on a character who's about to travel OK GUYS THIS IS FOR THE YUNGBLUD FANS!FINISH THE REST OF THE SONG!Calm me down, before I sleep'Cause I don't know where I've just beenAnd the morning seems so far awayAnd the drugs just hit, so I'm wide awake Give one reason for persons participating on elections day. Which animal described in Animal Wisdom would be most likely to ease tension during a disagreement? Explain your answer, citing evidence from the text. order 6 9/10 6 19/80 6 3/4 least you greatest Ramon drove 425 miles on 15 1/2 of gas. How many miles per gallon did he drive?