What is the decay factor of the exponential function represented by the table? One-third Two-thirds 2 6

Answers

Answer 1
Final Answer:

The decay factor of the exponential function represented by the table is \[tex]( \frac{1}{3} \).[/tex]

Explanation:

The decay factor of an exponential function in the form[tex]\( y = ab^x \)[/tex]is represented by the base, denoted as 'b.' In this scenario, we're given data in a table format. When observing the relationship between the input and output values, notice that as the input increases by 1 unit, the output decreases by a factor of [tex]\( \frac{1}{3} \) ([/tex]e.g., going from 2 to 6, a change in input by 1 unit results in the output decreasing from 6 to 2, a factor of \( \frac{1}{3} \) of the previous output).

The pattern here illustrates a consistent reduction by a factor of [tex]\( \frac{1}{3} \)[/tex]as the input increases. This characteristic aligns with the decay factor in an exponential function, indicating that the base 'b' in the function[tex]\( y = ab^x \) is \( \frac{1}{3} \).[/tex]This base value of[tex]\( \frac{1}{3} \)[/tex] signifies that the function is an exponential decay, where the output diminishes rapidly as the input increases.

Understanding the relationship between the input and output values is crucial in determining the behavior of an exponential function. In this case, recognizing the consistent factor by which the output decreases as the input increases helps identify the decay factor as [tex]\( \frac{1}{3} \),[/tex]indicating the rate of decrease in the exponential decay function.

The consistent reduction by a factor of[tex]\( \frac{1}{3} \)[/tex] establishes the decay pattern in the given exponential function, leading to the conclusion that the decay factor of the function is [tex]\( \frac{1}{3} \).[/tex]

Answer 2

The decay factor of the exponential function is 1/3

How to determine the decay factor of the exponential function

From the question, we have the following parameters that can be used in our computation:

The table of values

Where, we have

f(0) = 6

f(1) = 2

The decay factor (k) of the exponential function is calculated as

k = f(1)/f(0)

Substitute the known values into the equation

k = 2/6

Evaluate

k = 1/3

Hence, the decay factor of the exponential function is 1/3

What Is The Decay Factor Of The Exponential Function Represented By The Table? One-third Two-thirds 2

Related Questions

.. Megan's aquarium has a volume of 4,320 cubic inches. Which could be
the dimensions of the aquarium? Mark all that apply.
A 16 in. by 16 in. by 18 in.
© 12 in. by 15 in. by 24 in.
B 14 in. by 18 in. by 20 in.
D 8 in. by 20 in. by 27 in.

Answers

Answer: C, D

Explanation:
16 x 16 x 18 = 4,608
12 x 15 x 24 = 4,320
14 x 18 x 20 = 5,040
8 x 20 x 27 = 4,320

Answer:

Step-by-step explanation:

The length, width and height of a rectangular box are represented by 2x, 4x+1 and 5x-6 respectively. When the volume is expressed as a polynomial in standard from, what is the coefficient of the 2nd term?

Answers

Answer:

the coefficient of the 2nd term: - 38

Step-by-step explanation:

V = 2x (4x + 1) (5x - 6)

   =(8x² + 2x) (5x - 6)

   = 40x³ - 38 x² - 12x

Coach Fraser will select a captain and a co-captain from the students in her physical education class. If there are 22 students from which to
select, how many different outcomes are possible?
a. 484
b. 462
c. 44
d. 22

Answers

Answer:

The answer is B

Step-by-step explanation:

22 runs into 464 with this many out comes

Answer:462

Step-by-step explanation:

What is the mean of the data?

5
10
30
50

Answers

The mean of the given data is 23.75.

What is mean?

'Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.'

According to the given problem,

The given data is,

5, 10, 30, 50

Sum = 5 + 10 + 30 + 50

        = 95

Mean = [tex]\frac{95}{4}[/tex]

          = 23.75

Hence, we can conclude, the mean of the given data is 23.75.

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Hehe another question

Answers

Answer:

The triangle is an isosceles because isosceles triangle have two equal sides.

Nice pfp btw.

Answer:

Step-by-step explanation:

The triangle would be isosceles because it has two of the three sides equal. Hope this helps! :)

i need help please PL​

Answers

THE ANSWER IS A PART BECAUSE WHEN YOU MAKE MIXED FACTION IN FRACTION AND FIND THE DENOMINATORS BY TAKING OUT LCM IT WILL BE 18

Write 4.768 as a common fraction, proper or improper and then reduce. .

Answers

The number n = 4.768 as a fraction is A = 596/125

What is a Fraction?

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Given data ,

Let the number be represented as n

Now , let the fraction be A

where the value of n = 4.768

And , to convert a decimal to a fraction, we can write the decimal as a fraction with the decimal value in the numerator and a power of 10 in the denominator that corresponds to the number of decimal places.

For 4.768, the decimal value is 768, which is three decimal places to the right of the decimal point. Therefore, we can write:

4.768 = 4 + 0.768

= 4 + 768/1000

= 4000/1000 + 768/1000

= 4768/1000

This fraction can be reduced by dividing both the numerator and denominator by their greatest common factor, which is 8:

4768/1000 = (8 × 596)/(8 × 125)

A = 596/125

Hence , the fraction is A = 596/125

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It is recommended that people have 1 gram of calcium each day. How many milligrams of calcium is that?

Answers

Answer:

1,000

Step-by-step explanation:

1,000 miligrams is 1 gram hope this helps god bless

how do you factor 2y^2 +13 +21

Answers

Answer:

2

(

y

2

+

17

)

Step-by-step explanation:

Answer:

2(y^2+17)

Step-by-step explanation:

First, add 13 and 21 together.

You'll end up with 2y^2+34

Then, factor out the two from each term, to get 2(y^2+17).

Since you can factor nothing else out, that will be your answer.

The Jurassic Zoo charges ​$11 for each adult admission and ​$7 for each child. The total bill for the 264 people from a school trip was ​$2140. How many adults and how many children went to the​ zoo?

Answers

Answer:

59 Adults And 147 Children

Step-by-step explanation:

Since there were a total of 206 people, this means that x%2By=206

Also, because "The Jurassic Zoo charges $11 for adult admission and $9 for each child. the total bill for the 206 people from a school trip was $1972", this means that 11x%2B9y=1972

So we have the system:

system%28x%2By=206%2C11x%2B9y=1972%29

Let's solve it by substitution

Now in order to solve this system by using substitution, we need to solve (or isolate) one variable. I'm going to solve for y.

So let's isolate y in the first equation

x%2By=206 Start with the first equation

y=206-x Subtract x from both sides

y=-x%2B206 Rearrange the equation

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

Since y=-x%2B206, we can now replace each y in the second equation with -x%2B206 to solve for x

11x%2B9highlight%28%28-x%2B206%29%29=1972 Plug in y=-x%2B206 into the second equation. In other words, replace each y with -x%2B206. Notice we've eliminated the y variables. So we now have a simple equation with one unknown.

11x%2B%289%29%28-1%29x%2B%289%29%28206%29=1972 Distribute 9 to -x%2B206

11x-9x%2B1854=1972 Multiply

2x%2B1854=1972 Combine like terms on the left side

2x=1972-1854Subtract 1854 from both sides

2x=118 Combine like terms on the right side

x=%28118%29%2F%282%29 Divide both sides by 2 to isolate x

x=59 Divide

-----------------First Answer------------------------------

So the first part of our answer is: x=59

Since we know that x=59 we can plug it into the equation y=-x%2B206 (remember we previously solved for y in the first equation).

y=-x%2B206 Start with the equation where y was previously isolated.

y=-%2859%29%2B206 Plug in x=59

y=-59%2B206 Multiply

y=147 Combine like terms

-----------------Second Answer------------------------------

So the second part of our answer is: y=147

-----------------Summary------------------------------

So our answers are:

x=59 and y=147

This means that 59 adults and 147 children went to the zoo.

URGENT ! Need help!!!

Which of the sets of ordered pairs represents a function?

A = {(–4, 5), (1, –1), (2, –2), (2, 3)}

B = {(2, 2), (3, –2), (9, 3), (9, –3)} (4 points)

Only A
Only B
Both A and B
Neither A nor B

Answers

Answer:

I believe its only B

Answer: I would say neither A nor B

Step-by-step explanation: each input needs to only have 1 output

What is the value of z???

Answers

Answer: 33

Step-by-step explanation:

all of the numbers add up to 180 degrees

Answer:

33

Step-by-step explanation:

To find the degree, remember: a triangles angles will always add up to 180°. So, add your degrees, then subtract that from 180:

[tex]114+33=147\\180-147=33[/tex]

z=33°

Consider the line y=-=x+6.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?

Answers

Answer:

[tex]y=-x-6[/tex]  is parallel

[tex]y=x+6[/tex]  is perpendicular

Step-by-step explanation:

(im answering this assuming that says y = -x + 6)

[tex]y=-x-6[/tex] is parallel because the slope remains the same

[tex]y=x+6[/tex]  is perpendicular because it reflects the line

HELP QUICKLY IN THE NEXT 10 MINS PLEASE WILL GIVE BRAINLIEST

Answers

Answer:

Step-by-step explanation:

If the question asks for volume, then

---> 7 x 5 x 3 = 105

If it asks for surface area

---> 2(wl+hl+hw)=

2(7 x 5 + 7 x 3 + 5 x 3)=

142

If it asks for area of the base then the answer is

7 x 3 = 21

The length of a rectangle is 2x - 1cm. The width is 6cm.
Write an expression for the perimeter of the rectangle. Simplify the
expression.

Answers

Answer: 4x+10 cm

Step-by-step explanation:

length of rectangle= 2x-1cm

breadth of rectangle= 6 cm

perimeter of rectangle= 2(L+B)

                                    = 2( 2x-1+6)                                 (substituting the values)

                                    =2(2x+5)

                                    =4x+10

Therefore, the perimeter of the rectangle is 4x+10 cm.

Hope it will help you...

Sharon is planning a holiday for 4 people for 7 days.
Here are the costs for the holiday for each person.
Travel
£130
Hotel
£60 for each day
Spending money £350
Work out the total cost of the holiday for 4 people for 7 days.
ANYONE PLS

Answers

1 person = 130 + (60x7) + 350 = 900
4 people = 4 x 900 = 3600
I think this is right !

Answer: 3600

Step-by-step explanation:

(Travel + Hotel + Spending money ) x 4 people=  

130 + 60 x 7 (days) + 350 = 900 x 4 = 3600

A teacher can grade 8 math tests in 10 minutes. What is the teacher’s unit rate in minutes? Answer without units.

NEED HELP ASAP

Answers

Answer:

0.8

Step-by-step explanation:

8 tests/10 mins

8 divided by 10 is 0.8 so 0.8/1 is the unit rate

Answer: 0.8

Step-by-step explanation: 8 test/10 minutes

HELP!!!!
What is the area of the shaded region?

Answers

Answer:

15 cm

Step-by-step explanation:

multiply the two numbers

Area of shaded region = Area of bigger circle - Area of smaller circle

[tex] = \pi( {5}^{2} - {3}^{2} ) \\ = 3.14 \times (25 - 9) \\ = 3.14 \times 16 \\ = 50.24 \: {cm}^{2} \\ [/tex]

In a math class there are 8 male students and 7 female students. A
student is randomly selected to go to the front office and leaves. A
second student is randomly selected to go to the office. What is the
approximate probability that both students that left were a male
students?
A.25%
B.26.7%
C.28.4%
D.50%​

Answers

Answer: 26.7%

Step-by-step explanation:

The probability that the leftover students were both male is 26.7%. Hence the correct option is B.

The probability that both selected students are male can be calculated as follows:

Determine the probability of selecting a male student for the first pick: P(Male) = 8/(8+7) = 8/15

Since the first student selected was male, the probability of the second student being male as well is: P(Second Male|First Male) = 7/(8+6) = 7/14

Multiply the probabilities together to get the probability of both selected students being male: P(Both Male) = P(Male) * P(Second Male | First Male) = (8/15) * (7/14) = 4/15 or approximately 26.7%

Pleaseee help
drag each tile to the correct location on the inequality. Each tile can be used more than once.

Consider the graphed function.

What are the domain and the range of this function?​

Answers

Answer:

D : -5 ≤ x < 1

R : -4 ≤ y < 7

Step-by-step explanation:

In a graph, domain is always represented by the x-axis while the range is represented by the y-axis.

In this diagram, at x-axis, the dots are connected by -5 and 1. At y-axis, the dots are connected by -4 and 7.

represents smaller than or equal to

represents smaller than

The domain of the given function is  -5 ≤ x ≤ 1 and range of the given function is  -4 ≤ x ≤ 7.

What is a function ?

A function is a relationship between inputs and outputs where each input has precisely one output and the output can be linked to its input.

A graph is given which shows a function. We need to find out domain and the range of this function based on the graph.

We know that , in a graph , domain is always represented on the x - axis whereas we represent range on the y - axis. Also , the domain of a function is the input provided to the function whereas the output we get is the range of the function.

In the graph shown : the dots on the x-axis are connected by -5 and 1 . This meant x coordinate is (-5,1) and dots on the y-axis are connected by -4 and 7. This meant y - coordinate is (-4 , 7).

So ,

The domain will be -5 ≤ x ≤ 1 .

The range will be -4 ≤ x ≤ 7 .

Therefore , the domain of the given function is  -5 ≤ x ≤ 1 and range of the given function is  -4 ≤ x ≤ 7.

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Yesterday, Juana sold 84 hot chocolate during her shift at work. If she worked from 7:00 am to 3:00 pm with an hour break for lunch, what was the average sold per hour?

Answers

She worked from 7 AM to 3 PM meaning she worked a total of 9 hours. However, since she had an hour lunch break, she only worked 8 hours. 84 divided by 8 is equal to 10.5.

So she sold an average of 10.5 hot chocolates an hour.

Hope this helps! :)
Final answer:

Juana sold an average of 12 hot chocolates per hour during her 7-hour work shift (excluding her lunch break).

Explanation:

The question asks us to calculate the average hot chocolate sold per hour by Juana during her shift. Juana worked an 8-hour day but took a 1-hour lunch break, leaving 7 hours of work time.

To find the average sold per hour, the total amount sold (84 hot chocolates) should be divided by the number of hours worked (7 hours). The calculation is as follows:

84 hot chocolates ÷ 7 hours = 12 hot chocolates per hour

Therefore, Juana sold an average of 12 hot chocolates per hour during her shift.

The __function is the most basic function in a family of functions.
A. reciprocal
B. parent
C. linear
D. easy

Answers

Answer:

B. Parent

Step-by-step explanation:

A parent function is the simplest capacity of a group of functions that saves the meaning of the whole family.

Feel free to let me know if you need more help! :)

The parent function is the most basic function in a family of functions.

What is a function?

A relation is a function if it has only One y-value for each x-value.

The parent function is the most basic function in a family of functions.

It serves as a template or starting point for other functions in the family. Other functions in the family can be obtained by applying various transformations such as scaling, shifting, or reflecting the parent function.

The parent function defines the fundamental characteristics and behavior of the entire family of functions.

Hence, the parent function is the most basic function in a family of functions.

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A truck driver drove his truck at an average speed of 45 miles per hour for 3 hours. A bus driver drove an average speed of 50 miles per hour for 5 hours.

Which explanation correctly tells how to find the difference in the distances they drove?

A.
Step 1 Divide: 45 ÷ 3.
Step 2 Divide: 50 ÷ 5.
Step 3 Add the two quotients.

B.
Step 1 Divide: 45 ÷ 3.
Step 2 Divide: 50 ÷ 5.
Step 3 Subtract the two quotients.

C.
Step 1 Multiply: 45 × 3.
Step 2 Multiply: 50 × 5.
Step 3 Add the two products.

D.
Step 1 Multiply: 45 × 3.
Step 2 Multiply: 50 × 5.
Step 3 Subtract the two products.

Answers

Answer:

A

Step-by-step explanation:

In ΔMNO NM = 3 cm, NO = 4 cm and MO = 5 cm. List the angles in order from smallest to largest.

Answers

By identifying triangle MNO as a right-angled triangle with MO as the hypotenuse, the angles are listed from smallest to largest based on their opposite sides: angle M (smallest), angle O (middle), and angle N (largest at 90 degrees).

The student has asked to list the angles of triangle right -angled MNO in order from smallest to largest, given that NM = 3 cm, NO = 4 cm, and MO = 5 cm. This is a case of a right-angled triangle where the sides satisfy the Pythagorean theorem, with MO being the hypotenuse. The angles of a triangle are inversely proportional to their opposite sides. Therefore, the angle opposite the longest side (MO) is the smallest, and the angle opposite the shortest side (NM) is the largest.

Steps to determine angle size:

Use the Pythagorean theorem to confirm the right angle.

Identify the smallest and largest sides to determine the smallest and largest angles.

Apply the fact that the sum of angles in a triangle is 180 degrees to find the middle angle.

Since 3² + 4² = 5², triangle MNO is a right-angled triangle with the right angle at angle N.

The smallest angle is thus at M, opposite the longest side MO.

The largest angle is at O, opposite the shortest side NM.

As angle N is 90 degrees, the remaining angle at O must be the second-largest angle.

I WILL MARK BRAINLIEST FOR CORRECT ANSWER! :)

Answers

Answer: 31.2

Step-by-step explanation:

have a great dayy

PLSS HELP
If two circles are congruent then

A) they have the same center.

B) they have the same volume.

C) they have the same diameter

D) they have the same direction.

Answers

Answer:

B,C, and D

Give thanks and brainliest!! :P

Answer: The correct answer is C. Because, when two figures are congruent all their measurements are the same.

Step-by-step explanation:

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 11 ft?

Which equation gives the volume of the sphere?​

Answers

Answer:

C

Step-by-step explanation:

credit to the first guy

Answer:

D

Step-by-step explanation:

I took the test

The R.R. Bowker Company of New York collects data on annual subscription rates to periodicals. Results are published in Library Journal. In a recent independent study, it was found that 63% of all students at Mill University read Time magazine, 51% read U.S. News and World Report, and 24% read both magazines. If a student at Mill University is randomly selected, what is the probability that the student reads either the Time magazine or the U.S.News and World Report magazine?

Answers

Answer:

90%

Step-by-step explanation:

Let's call the percentage of students that read Time magazine by P(T), and the percentage of students that read U.S News and World Report by P(U). So, we have that:

P(T) = 0.63

P(U) = 0.51

P(T and U) = 0.24

To find the percentage of students that read either the Time magazine or the U.S.News and World Report magazine (that is, P(T or U)), we can use this formula:

P(T or U) = P(T) + P(U) - P(T and U)

So, we have that:

P(T or U) = 0.63 + 0.51 - 0.24 = 0.90

So the probability is 90%

Final answer:

The probability that a randomly selected student at Mill University reads either Time magazine or U.S. News and World Report magazine is 90%.

Explanation:

The student is interested in finding the probability that a Mill University student reads either Time magazine or U.S. News and World Report magazine.

To calculate this, we use the formula for the probability of either event A or B occurring (P(A ∪ B) = P(A) + P(B) - P(A ∩ B)), where P(A ∪ B) represents the probability of A or B happening, P(A) is the probability of A happening, P(B) the probability of B happening, and P(A ∩ B) the probability of both A and B happening.

Given that 63% of students read Time (P(Time) = 0.63), 51% read U.S. News (P(U.S. News) = 0.51), and 24% read both (P(Both) = 0.24), we calculate the probability of a student reading either magazine as P(Either) = P(Time) + P(U.S. News) - P(Both) = 0.63 + 0.51 - 0.24 = 0.90, or 90%.

Find the quotation -10/-5= need help ASAP

Answers

Answer:

2

Step-by-step explanation:

Answer: 2

Step-by-step explanation: Divide -10 and -5. When you do, the answer will be 2. If you see 2 numbers that both have a negative sign, that means in the end, your answer will be positive. That is why -10/-5 is 2.    

what will happen to the ratios as you increase the number of sides of the regular polygon?

Answers

Answer: increase

Step-by-step explanation:

Number of sides of the polygon, The number of sides of a regular polygon and the measure of the exterior angle are inversely proportional. As one quantity increases, the other decreases and vice versa.

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The greater the biodiversity, the healthier an ecosystem is.True or false Jones is the manager of an upscale clothing store in a shopping mall that contains only two such stores. While these two competitors do not carry the same brands of clothes, they serve a similar clientele. Jones was recently notified that the mall is going to implement a 10 percent across-the-board increase in rents to all stores in the mall, effective next month. How should Jones change her prices in response to this 10 percent increase in monthly rent? 2e=2 solve the question E= This Question: 1 ptA baseball is hit so that its height in feet after t seconds is s(t) = - 4t"" + 20t+2.(a) How high is the baseball after 1 second?(b) Find the maximum height of the baseball. How is Wilde making fun of the Victorian rules for entertaining guests? 20pts. The table shows the results of rolling a number cube, with sides labeled 1 through 6, several times. What is the experimental probability of rolling a 3 or a 6? Enter your answer as a fraction in the simplest form, in the box. Outcome 1 2 3 4 5 6 Number of times outcome occurred 10 6 4 8 6 6 Help! Compare the price or size of the clothing below. Justin Beiber wants to save enough money to make a down payment on a new home. He decided to put $10,000 into a savings account at the end of each of the next ten years. If he earns 4% compound interest, how much money will he have at the end of the ten years What is the area of the SHADED sector of the circle?a. 36 pi units2b. 8 pi units2c. 48 pi units2d. 81 pi units2PLEASE HURRY!! I HAVE LIMITED TIME!! :) Which of the following actions are likely to reduce the length of a companys cash conversion cycle? Select one: a. Adopting a new inventory system that reduces the inventory conversion period. b. Reducing the average days sales outstanding (DSO) on its accounts receivable. c. Reducing the amount of time the company takes to pay its suppliers. d. Statements a and b are correct. e. All of the statements above are correct. Right triangle FHG is shown. The sine of angle F is 0.53. What is the cosine of Angle h ? An independent-measures research study uses two samples, each with n = 10 participants. If the data produce an observed t statistic of t = 2.095, which of the following is the correct decision for a two-tailed hypothesis test ( = .05?) a.Reject the null hypothesis b.Reject the null hypothesis c.Fail to reject the null hypothesis d.Cannot answer without additional information which function BEST expresses the linear relationship displayed by the scatter plot? A)y = 1.4x 11.2 B)y = 0.7x 10.8 C)y = 1.4x + 11.2 D)y = 0.7x + 10.8 Which equation is a correctly written thermochemical equation?C3H8(g)+5O2(g)3CO2(g)+4H2O(l) , H=2,220kJ/molFe(s)+O2(g)Fe2O3(s) , H=3,926kJNH4ClNH4++Cl2C8H18+25O216CO2+18H2O , H=5,471kJ/mol At Sandy's Beauty Salon, a haircut costs $15.00 and a permanent costs $30.00. Which graph represents the amount of revenue the salon will earn in one day for x haircuts? a. g(x)=3x^2b. g(x)=(1/9x)^2c. g(x)-1/3x^2d. g(x)(1/3x)2 Question 2 of 152 PointsOn a planimetric map, the __is used to determine the actual distancebetween two points.Answer hereSUBMIT Which of the following is NOT a function of lymphatic system?a) production of red blood cellsb) return of excess tissue fluid to the bloodc) transport of fats and lipids from the small intestine d) defend the body against pathogens Which of these energy resources is both renewable and sustainable?A. CoalB. BiofuelC. SolarD. Oil In class we learned that you can detect The Big C (molecular weight of 303 grams/mol) by mass spectrometry. The mass spec has a magnetic field of 0.3 T and the singly charged ions in the sample are moving at 50,000 m/s. How far from the entrance in m do the Florida Snow ions strike the spectrometer detector after travelling through a semicircle trajectory?