The table represents an exponential function.
What is the multiplicative rate of change of the
function?
x
1
0 1 / 3
2
3
0 2 3
y
6
4
8
3
16
9
O 2
09
4.

Answers

Answer 1

Question Correction

The table represents an exponential function. What is the multiplicative rate of change of the  function?

(A)1/3 (B)2/3 (C)2 (D)9

[tex]\left|\begin{array}{c|c}x&y\\--&--\\1&9\\2&6\\3&4\\4&\dfrac83\\\\5&\dfrac{16}{9}\end{array}\right|[/tex]

Answer:

(B)  [tex]\dfrac{2}{3}[/tex]

Step-by-step explanation:

An exponential function is a function of the form

[tex]y= a (b)^{x}[/tex]

where a is the initial value and b is the multiplicative rate of change

When  x=2, y=6, we have:

[tex]6= a (b)^{2}[/tex]

When  x=3, y=4, we have:

[tex]4= a (b)^{3}[/tex]

Dividing the two equations:

[tex]\dfrac{a (b)^{3}}{a (b)^{2}} =\dfrac{6}{9} \\b=\dfrac{6}{9}\\b=\dfrac{2}{3}[/tex]

The multiplicative rate of change, b is [tex]\dfrac{2}{3}[/tex].

The correct option is B.

Answer 2

Answer: It's B) 2/3

Hope it helps :3


Related Questions

Finding missing angles

Answers

Answer:

x=15

Step-by-step explanation:

165+x=180

180-165=15

Hope this helps!!

Find the median of: 1, 3, 4, 6, 2, 4, 5, 6, 2, 3, 1, 4, 0, 4, 4, 4, 8, 9, 7, 4

Answers

Answer:

4

Step-by-step explanation:

1, 3, 4, 6, 2, 4, 5, 6, 2, 3, 1, 4, 0, 4, 4, 4, 8, 9, 7, 4

Arrange the numbers from smallest to largest

0,1, 1,2,2, 3,3, 4, 4,4,4,4,4 , 4, 5, 6, 6,   7, 8, 9,

There are 20 numbers

The middle number is between 10 and 11

0,1, 1,2,2, 3,3, 4, 4,4   ,4,4,4 , 4, 5, 6, 6,   7, 8, 9,

The median is 4

Solution,

Arranging the data in ascending order:

0,1,1,2,2,3,3,4,4,4,4,4,4,4,5,6,6,7,8,9

N(total number of items)= 20

Now,

Median:

[tex] (\frac{n + 1}{2)} ) ^{th \: item} \\ = (\frac{20 + 1}{2} ) ^{th \: item} \\ = \frac{21}{2} \\ = 10.5 \: th \: \: item[/tex]

Again,

Median:

[tex] \frac{10 \: th \: item + 11 \: th \: item}{2} \\ = \frac{4 + 4}{2} \\ = \frac{8}{2} \\ = 4[/tex]

Suppose H is an ntimesn matrix. If the equation Hxequalsc is inconsistent for some c in set of real numbers R Superscript n​, what can you say about the equation Hxequals0​? ​Why?

Answers

Answer:

The answer is explained below

Step-by-step explanation:

Given that, the equation H*x = c is inconsistent for some c in R^n, we can say that the equation A*x = b has at least one solution for each b in R^n of IMT (Inverse Matrix Theorem) is not fulfilled.

Thanks to this we can say that by equivalence of theorem statement, the equation H*x = 0 will not have only the trivial solution. It will have non-trivial solutions too.

A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 75 pounds. The truck is transporting 55 large boxes and 50 small boxes. If the truck is carrying a total of 4025 pounds in boxes, how much does each type of box weigh?

Answers

Answer:

There are 50 large boxes.

Step-by-step explanation:

First, "boxes of two sizes" means we can assign variables:

  Let x = number of large boxes

       y = number of small boxes

 

 "There are 115 boxes in all"    means    x + y = 115      [eq1]

 

Now, the pounds for each kind of box is:

    (pounds per box)*(number of boxes)

 

So,

  pounds for large boxes     +    pounds for small boxes      =    4125 pounds

                 "the truck is carrying a total of 4125 pounds in boxes"

 

        (50)*(x)                   +              (25)*(y)                  = 4125    [eq2]

 

It is important to find two equations so we can solve for two variables.

 

Solve for one of the variables in eq1 then replace (substitute) the expression for that variable in eq2.  Let's solve for x:

   x = 115 - y          [from eq1]

 

    50(115-y) + 25y = 4125             [from eq2]

     5750 - 50y  + 25y = 4125           [distribute]

     5750 - 25y = 4125

      -25y = -1625

         y = 65             [divide both sides by (-25)]

 

 There are 65 small boxes.

 

Put that value into either equation (now, which is easier?) to solve for x:

  x = 115 - y

  x = 115 - 65

  x = 50


b) A grocer sold 5 kg of wheat flour at Rs 30 per kg and gained 20%. If he had sold
it at Rs 27 per kg, what would be his gain or loss percent?

Answers

Answer:

22.5%

Step By Step Explanation:

1) the amount which will be obtained when 5 kg of rice is sold for Rs30 per kg=150 kg

2) the amount which will be obtained when 5 kg of rice is sold for Rs27 per kg=135 kg

3)difference of Both the no. = 150-135

                                              = 15 kg

4) ans as percentage =  15% of 150

                                   =  22.5%

    WARNING:- NOT SURE WITH THE ANSWER

How many different words can be formed with the letters AAAABBCCD (not necessarily meaningful words)?

Please help me with this. Other answers did not work.

Answers

Answer:

the answer is 9! ÷ (4! * 2! * 2!)

Step-by-step explanation:

The different words that can be formed with the letters AAAABBCCD will be 3780.

What is permutation?

The permutation is a mathematical calculation of the number of ways a particular set can be arranged, where the order of the arrangement matters.

We have,

AAAABBCCD

i.e.

Total number of letters = 9

Letter A repeated = 4 times

Letter B repeated = 2 times

Letter C repeated = 2 times

Now,

Using the permutation formula,

Permutation (ⁿPr) = n! / r!

So,

Number of ways = 9! / [ 4! × 2! × 2!] = [9 × 8 × 7 × 6 × 5 × 4!] / [ 4! × 2! × 2!] = 3780

Hence we can say that the different words that can be formed with the letters AAAABBCCD will be 3780.

To learn more about Permutation  click here,

https://brainly.com/question/1216161

#SPJ2

quanto e 500x6-51-5x50

Answers

Answer:

2699

Step-by-step explanation:

you do all the multiplication first

500×6= 3000

5 ×50 = 250

so it becomes

3000-51-250 = 2699

Answer:

2699

Step-by-step explanation:

An object is dropped from the top of a tower with a height of 1160 feet. Neglecting air resistance, the height of the object at time t seconds is given by the
polynomial - 16t square + 1160. Find the height of the object at t = 1 second.
The height of the object at 1 second is feet.

Answers

Answer:

Height at t = 1 sec is 1144 ft

Step-by-step explanation:

Given:

Initial height of object = 1160 feet

Height of object after t seconds is given by the polynomial:

[tex]- 16t ^2+ 1160[/tex]

Let [tex]h(t)=- 16t ^2+ 1160[/tex]

Let us analyze the given equation once.

[tex]t^2[/tex] will always be positive.

and coefficient of [tex]t^2[/tex] is [tex]-16[/tex] i.e. negative value.

It means something is subtracted from 1160 ft (i.e. the initial height).

So, height will keep on decreasing with increasing value of t.

Also, given that the object is dropped from the top of a tower.

To find:

Height of object at t = 1 sec.

OR

[tex]h (1)[/tex] = ?

Solution:

Let us put t = 1 in the given equation: [tex]h(t)=- 16t ^2+ 1160[/tex]

[tex]h(1)=- 16\times 1 ^2+ 1160\\\Rightarrow h(1) = -16 + 1160\\\Rightarrow h(1) = 1144\ ft[/tex]

So, height of object at t = 1 sec is 1144 ft.

Please answer this correctly as soon as possible

Answers

Answer:

Number of cards = 7

Number of cards not greater than 4 = 2

P( not greater than 4) = 2/7

Hope this helps

We are given 7 cards and we choose at random.

There are only 2 cards that are less then 4 so that means 2/7 is not greater than 4.

So P(2/7)

The answer is 2/7

Best of Luck!

What ray is a common side of

Answers

Your answer would be Ray OB

Hope this helps!
the correct answer is : ray OB

A sample of a radioactive substance has an initial mass of 58.7 . This substance follows a continuous exponential decay model and has a half-life of 5 hours. (a)Let t be the time (in hours) since the start of the experiment, and let y be the amount of the substance at time t . Write a formula relating y to t. y=__ e^__(t) . Use exact expressions to fill in the missing parts of the formula. Do not use approximations. b)How much will be present in 8 hours? Do not round any intermediate computations, and round your answer to the nearest tenth.

Answers

Answer:

a). Y = y0e^-k(t)

b) Y = 19.4 Unit mass

Step-by-step explanation:

Y = y0e^-k(t)

Where y is amount present at the time

Y0 is initial amount present at t = 0

Y0 = 58.7

Half life = 5 hours

At half life , y = 58.7/2

At half life , y = 29.35

K = decaying constant.

Let's look fithe value of k

Y = y0e^-k(t)

29.35 = 58.7e^-k(5)

29.35/58.7 = e^-k(5)

0.5 = e^-k(5)

In 0.5 = -k(5)

-0.69314718 = -k(5)

0.138629436 = k

The value present in 8 hours will be

Y = y0e^-k(t)

Y = 58.7e-0.138629436(8)

Y = 58.7e-1.109035488

Y = 58.7(0.329876978)

Y= 19.36377861

To the nearest tenth

Y = 19.4 unit of mass

Find the value of x.

Answers

Answer:

[tex]\huge\boxed{x=\sqrt{66}}[/tex]

Step-by-step explanation:

ΔADC and ΔABD are similar (AAA)

Therefore the cooresponging sides are in proportion:

[tex]\dfrac{AD}{AC}=\dfrac{AB}{AD}[/tex]

Substitute

[tex]AD=x;\ AC=6+5=11;\ AB=6[/tex]

[tex]\dfrac{x}{11}=\dfrac{6}{x}[/tex]          cross multiply

[tex](x)(x)=(11)(6)\\\\x^2=66\to x=\sqrt{66}[/tex]

Don’t know this one

Answers

Answer:

B

Step-by-step explanation:

The answer is B because in order for the square root of a number to be equal to another number, the answer squared should be the number under the square root.

B. [tex](-4)^2\neq -16[/tex].

Hope this helps.

true or false? the circumcenter of a triangle is the center of the only circle that can be inscribed about it

Answers

Answer:

TRUE

Step-by-step explanation:

The circumcenter of a triangle is the center of the only circle that can be circumscribed about it

Answer:

False

Step-by-step explanation:

There are no solutions to the system of inequalities shown below.
y< 3x+ 5
y> 3x-1
True or false
Someone help please

Answers

Answer:

False, there are actually infinite solutions as these are parallel lines.

Step-by-step explanation:

how many sixths are in 4


how many two-thirds are in 2​

Answers

Answer:

24 sixths in 4 and 3 two-thirds

Step-by-step explanation:

6=24 sixths in 4

Answer:

24 sixth's are in 4 and 3 two-third's are in 2

Step-by-step explanation:

4 ÷ 1/6 = 4 * 6 = 24

2 ÷ 2/3 = 2 * 3/2 = 3

(2m^4) • m3
Need help ASAP I have the answer but I need help showing work

Answers

Answer:

4m^11

Step-by-step explanation:

2m^4.2 you multiply powers in paranthesis

2m^8 result

2m^8.m^3

You add the exponents together because it is same base and put the 4 because 2 to the power of 2 is 4

4m^11

Answer: 4[tex]m^{11}[/tex]  

Step-by-step explanation:

(2m^4)^2 * m^3  

Expand

[tex]2^{2} * m^{8} *m^{3}[/tex]     add the exponents since they have the same base

[tex]4m^{11}[/tex]

Write an equation that is 10 less than 3 times a number y, multiplied by 2 and divided by 4. (10 less than 3 times a number y is to be done first)

Answers

Answer: (3y - 10)*2÷4

Step-by-step explanation:

Because 10 less than 3 times a number, y, is done first, it is in parenthesis.  The 3 is there to represent the "three times" and the -10 is there to represent the "ten less".  The *2 is there to represent the "multiplied by two" and the ÷4 is there to represent the "divided by 4"

Hope it helps, and tyvm <3

Answer:

[tex]\displaystyle \frac{2(3y - 10)}{4}[/tex]

Step-by-step explanation:

10 less than 3 times y.

The variable y is multiplied by 3, 10 is subtracted from 3 × y.

The result 3y - 10 is then multiplied by 2.

2(3y - 10) is then divided by 4.

Sam invests $6000 in two different accounts. The first account paid 12 %, the second account paid 7 % in interest. At the end of the first year he had earned $590 in interest. How much was in each account? $_____ at 12% $_____ at 7%

Answers

Answer:

The amount in the account at 12% interest is $3400 and the amount in the second account at 7% interest is $2600

Step-by-step explanation:

Let x be the amount in the account at 12% interest

So, 6000-x is the amount in the second account at 7% interest

[tex]SI = \frac{P \times T \times R}{100}[/tex]

First account:[tex]SI=\frac{x \times 1 \times 12}{100}[/tex]

Second account : [tex]SI =\frac{(6000-x) \times 1 \times 7}{100}[/tex]

We are given that At the end of the first year he had earned $590 in interest.

So, [tex]\frac{x \times 1 \times 12}{100}+\frac{(6000-x) \times 1 \times 7}{100}=590\\x=3400[/tex]

So,the amount in the account at 12% interest is $3400

The amount in the second account at 7% interest =6000-x=6000-3400=2600

Hence the amount in the account at 12% interest is $3400 and the amount in the second account at 7% interest is $2600

Suppose you are told that the grades of the nal exam of your class follows a normal distribution. The average score is 65 and the variance is 12. What is the the probability of a random classmate getting a score more than 80?

Answers

Answer:

0% probability of a random classmate getting a score more than 80

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation(which is the square root of the variance) [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 65, \sigma = \sqrt{12} = 3.4641[/tex]

What is the the probability of a random classmate getting a score more than 80?

This is 1 subtracted by the pvalue of Z when X = 80. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{80 - 65}{3.4641}[/tex]

[tex]Z = 4.33[/tex]

[tex]Z = 4.33[/tex] has a pvalue of 1

1 - 1 = 0

0% probability of a random classmate getting a score more than 80

I NEED HELP PLEASE, THANKS! :)

Answers

Answer:

Symmetric with respect to the polar axis in agreement with the second answer listed.

Step-by-step explanation:

This is the shape of a cardioid  [tex]14\,(1+cos(\theta))[/tex]  it contains the function cosine of the angle so it must be symmetric with respect to the polar axis, since the cosine function is also symmetric for positive and negative values of the angle.

Bill must take an 8-question true/false quiz and has to guess on each problem. How many
ways is it possible to answer the quiz questions?

Answers

Answer:40320

Step-by-step explanation:

8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40320 and there are 8 questions total

Which of the following points satisfies the inequality x ≥ -3? (select all that apply) a(0, -2) b(-3, 4) c(-4, 2) d(5, -5)

Answers

Answer:

  a, b, d

Step-by-step explanation:

For the inequality x ≥ -3 . . .

a(0, -2) . . . 0 ≥ -3, true

b(-3, 4)  . . . -3 ≥ -3, true

c(-4, 2)  . . . -4 ≥ -3, FALSE

d(5, -5) . . . 5 ≥ -3, true

Points a, b, d satisfy the inequality.

Suppose you are starting your own company selling chocolate covered strawberries. You decide to sell the milk chocolate covered strawberries for a profit of $2.25 $ 2.25 /box and the white chocolate covered strawberries at $2.50 $ 2.50 /box. Market tests and available resources, however, have given you the following constraints. The combined production level should not exceed 800 800 boxes per month. The demand for the white chocolate is no more than half the demand for milk chocolate strawberries. The production level for white chocolate should be less than or equal to 200 200 boxes.

Answers

Answer:

$1850 per month

Step-by-step explanation

There are two types of chocolates that can be produced milk chocolate and strawberry covered chocolate. To find the profit we make following equation,

P = $2.25 SC + $2.50 WC

where SC is strawberry chocolate and WC is White milk chocolate.

The maximum production level can be 800 boxes per month and white chocolates can not exceed the 200 boxes per month so we assume making 600 boxes of Strawberry covered chocolates and 200 boxes of white chocolates.

Profit = 2.25 * 600 + 2.50 * 200

Profit = $1850

This is the maximum profit that can be earned after making combination of two types of chocolates.

Last winter Armand had StartFraction 5 Over 6 EndFraction of a row of stacked logs. At the end of the winter he had StartFraction 8 Over 15 EndFraction of the same row left. How much wood did he burn over the winter?

Answers

Answer:

3/10

Step-by-step explanation:

We have that the Armans last winter had 5/6 of a row of stacked logs and at the end of the winter he had 8/15 of the same row left, therefore:

Ambitious

First we have to do is that the denominator is the same.

in the case of 5/6 it would be 25/30

and for 8/15 it would be 16/30

Now if we can do the subtraction and it would be:

25/30 - 16/30 = 9/30 or what equals 3/10

3/10 was the amount of wood he burned in the winter

Answer:

D) 3/10 row

Step-by-step explanation:

Two parallel lines are crossed by a transversal.What is the value of d?

Answers

Step-by-step explanation:

if there is any confusion then again ask me always with you

Answer:

d = 125

Step-by-step explanation:

E2020

pls mark Brainliest

Katie is making hair clips to sell at the craft fair. To make each hair clip, she uses 1 barrette and 1 precut ribbon. The barrettes are sold in packs of 12, and the precut ribbons are sold in packs of 9. How many packs of each item does she need to buy to make the least number of hair clips with no supplies left over?

Answers

Answer:

3 packs of barrettes and 4 packs of ribbons.

Step-by-step explanation:

All we need to do here is to find the least common multiple between 12 and 9.

We can factor both of these numbers to do so.

12: 3*4: 3*2*2

9: 3*3

We can cancel out one 3 (since it appears in both prime factorizations) and multiply what we have left to find the LCM.

2*2*3*3=36

This means that she will be making 36 clips/needs 36 of each item.

36/12=3

3 packs of barretes.

36/9=4

4 packs of ribbons.

Please answer this correctly

Answers

Answer:

2/7

Step-by-step explanation:

The numbers greater than 7 or less than 3 are 2 and 8.

2 numbers out of 7.

P(greater than 7 or less than 3) = 2/7

Answer:

2/7

Step-by-step explanation:

There are a total of 7 sample spaces also known as 2,3,4,5,6,7,8. Now we have to find a number greater than 7 and less than 3. 2 is less than 3, and 8 is greater than 7, so two numbers are selected. This would become 2/7 because out of all of the 7 outcomes, only two are selected.

Factor this trinomial.
х^2 - 9х+ 20
А. (х- 4)(х+ 5)
В. (х-2)(х+ 10)
С. (х-2)(х- 10)
D. (x-4)(х - 5)

Answers

Answer:

D

Step-by-step explanation:

We're looking for two numbers that have a sum of -9 and a product of 40. These 2 numbers are -4 and -5 so the answer is (x - 4)(x - 5).

Answer:

(x-4)(x-5)

Step-by-step explanation:

х^2 - 9х+ 20

What 2 numbers multiply to 20 and add to -9

-4*-5 = 20

-4+-5 = -9

(x-4)(x-5)

Match each phrase on the left with every correct temperature on the right. Some
answer choices on the right will not be used.
Freezing point of water
0°C
Boiling point of water
0°F.
32°F
100°C
212°F
100°F

Answers

Boiling point of water is 100 C
Other Questions
Which material is used in a photovoltaic cell? A photovoltaic cell converts solar radiation into electric current using a thin sheet of____ like silicon. The number of units in a book indicates how many basic ideas must be mastered in the book.TrueOr False Yasmin started shivering when a cold wind blew. Which organ is responsible for processing this information? A. telencephalon B. thalamus C. cerebellum D. hypothalamus Read the sentence. The skillful pilot maneuvered successfully during the training mission. How does the underlined phrase in the sentence function? Its a verb phrase acting as an object in the sentence. Its a verb phrase acting as the predicate of the sentence. Its a prepositional phrase acting as an adverbial phrase. Its a prepositional phrase acting as an adjectival phrase. Help me ASAP for this questionIn two or more complete sentences write and solve an equation for the situation and explain how you willsolve the equation.Diane has $500 to spend on gifts. How many gifts can she purchase if she spends $20 on each gift Please answer this in two minutes BRAINLIEST LCM PICTURE INCLUDED The specific identification method (select all that apply): matches each unit of inventory with its actual cost is not an acceptable method of accounting would be beneficial to a company that makes inexpensive products with high sales volume would be beneficial to a company that makes fine jewelry PLEASE HELP!!! Would you rather paint 3/4 of a circle or a circular ring? Using area, explain your reasoning. Include calculations in your reasoning. PLZ HELP! WILL MARK Brainiest! According to the Lemon Law, a defect can be any problem with the: A. engine B. transmission C. brakes, steering D. bad smells E. all of the above If the circumference of a circular tank is 44m. Find the diameter Which combination forms a covalent bond?A. Two carbon atomsB. Two oxygen moleculesC. Two water moleculesD. Two sodium atomsSUSMIT!!! The average body temperature of a lemming is 98.6 degrees Fahrenheit. Thetemperature is considered abnormal if it is more than 1.5 degrees above or below that.Write the absolute value inequality that represents this. Degrees east and west of the prime meridian are measured by boundaries. longitude. latitude. dots. helppppppppppppppppppppppppppppppp plz Simplify. 3/(square root)-125n^12 -5 n9 -5 n4 5 n4 Air is cooled in a process with constant pressure of 150 kPa. Before the process begins, air has a specific volume of 0.062 m^3/kg. The final specific volume is 0.027 m^3/kg. Find the specific work in the process. Teresa quiere ________ el vestido marrn. In a triangle ABC, CD is an altitude, such that AD=BC. Find AC, if AB=3 cm, and CD= square root 2 . Can someone give me some info on the author J W Lynne. I need it for a biography I am creating for my english pre - ib class that I am taking. Please do not make any absurd answers. I really need help.