During a bean flipping experiment Fiona modeled her data using the function

f(t) = 4.127 (1.468) and Karl modeled his data with the function

k(t) = 0.897 (1.992) where t represents the number of trials and f(t) represents

the number of beans.

At what number of trials would Fiona and Karl have the same number of beans?

A.3

B4

C.5

0.6

Answers

Answer 1

Answer:

C.5

Step-by-step explanation:

Fiona:

After t trials, she would have:

[tex]f(t) = 4.127(1.468)^t[/tex]

Karl:

After t trials, he would have:

[tex]k(t) = 0.897(1.992)^t[/tex]

At what number of trials would Fiona and Karl have the same number of beans?

This is t for which:

[tex]f(t) = k(t)[/tex]

So

[tex]4.127(1.468)^t = 0.897(1.992)^t[/tex]

[tex]0.897(1.992)^t = 4.127(1.468)^t[/tex]

[tex]\frac{(1.992)^t}{(1.468)^t} = \frac{4.127}{0.897}[/tex]

[tex](\frac{1.992}{1.468})^t = 4.6[/tex]

[tex](1.35695)^t = 4.6[/tex]

[tex]\log{(1.35695)^t} = \log{4.6}[/tex]

[tex]t\log{1.35695} = \log{4.6}[/tex]

[tex]t = \frac{\log{4.6}}{\log{1.35695}}[/tex]

[tex]t = 5[/tex]

So the correct answer is 5 trials, option C.


Related Questions

What is the factorization? x2 + x – 12

Answers

Answer:

(x+4)(x-3)

Step-by-step explanation:

Graph a-7<-4


Will give brainlest

No links!!!!

Answers

Answer:

[tex]a\leq 3[/tex]

Step-by-step explanation:

[tex]a-7\leq -4,\\a\leq3[/tex]

When graphed, an arrow should be drawn pointing left with a solid dot on -3. Since the inequality line provided is not labelled, choose any vertical line and mark it as -3. Then add a solid circle and draw an arrow left, representing that the solutions of this inequality are all real numbers less than -3.

An article is bought for Rs 8600 and is sold at a profit of 20 %. Find its selling price.

Answers

Selling price = 8600 + Profit

Selling price = 8600 + ( 8600 × 20/100 )

Selling price = 8600 + ( 86 × 20 )

Selling price = 8600 + 1720

Selling price = Rs 10,320

(PLEASE HELP) 17. Jon read 3/8 of a book the
first day. 1/3 the second day.
and 1/4 the third day. On the
fourth day he finished the book.
What part of the book did Jon
read on the fourth day?

Answers

Answer:

[tex]\frac{1}{24}[/tex]

Step-by-step explanation:

24 is a common multiple so ill just use that as a denominator:

3/8 = 9/24

1/3 = 8/24

1/4 = 6/24

so then adding those up:

[tex]\frac{9}{24}[/tex] + [tex]\frac{8}{24}[/tex] + [tex]\frac{6}{24}[/tex] = [tex]\frac{23}{24}[/tex]

then whats left is 1/24 left to read, which cant be simplified so [tex]\frac{1}{24}[/tex]

Answer:

   [tex]\frac{1}{24}[/tex]

Step-by-step explanation:

Let x be the part of the book he read on fourth day.

[tex]\frac{3}{8} + \frac{1}{3} + \frac{1}{4} + x = 1[/tex]

[tex]LCM \ of \ 8, 3 , 4 = 24.\ Therefore , \\\\[/tex]

[tex]\frac{3}{8} + \frac{1}{3} + \frac{1}{4} + x = 1\\\\\frac{9 + 8 + 6 + 24x}{24} = 1\\\\23 + 24x = 24\\24x = 1\\x = \frac{1}{24}[/tex]

[tex]On\ the\ fourth\ day\ he\ read\ \frac{1}{24} \ of\ the\ book\ to\ finish\ it.[/tex]

The Martinez family picked 3 lb of apples. Ana picked for those apples,

How many pounds of apples did Ana pick?

Answers

Answer:

C. 7/8

Step-by-step explanation:

The Martinez family picked 3 and one-half pounds of apples. Ana picked one-fourth of those apples. How many pounds of apples did Ana pick?

options

A. 1/4

B. 3/4

C. 7/8

D. 1 1/4

E. 3 1/8

Total apples the Martinez family picked = 3 1/2 pounds

Ana picked one-fourth of those apples.

Number of apples Ana picked = 1/4 × 3 1/2 pounds

= 1/4 × 7/2 pounds

= (1 * 7) / (4 * 2) pounds

= 7/8 pounds

Ana picked 7/8 pounds of apples

2) La expresión 7∙7∙7∙7 es igual a:
a) 47
b) 4+7
c) 47
d) 74

Answers

d) 7^4
because 7•7•7•7 is 7 to the power of 4

Answer:

d) 7⁴

Step-by-step explanation:

7 ∙ 7 ∙ 7 ∙ 7

cuatro sietes = siete elevado a cuatro

d) 7⁴

This question is worth 20 points and I will mark brainliest
which expressions are equivalent to 2 (3h + 7) choose "equivalent" or "Not equivalent" for each expression.


6h+7

2+3h+7

6h+7+7

3h+3h+14

(3h+7) + (3h+7)

Answers

Answer:

2(3h+7)

=6h+14

6h+7+7 (True)

3h+3h+14 (True)

Which statement is correct?

Answers

The answer is a hope it Helpe

Answer:

Fresh water is evenly distributed throughout the earth.

Step-by-step explanation:

Freshwater exists on Earth's surface in lakes, rivers, and ice, as well as below the surface as groundwater.

Hope this answer helps you :)

Have a great day

Mark brainliest

question in photo. i'll give brainliest to whoever gets it right/done quickest. thank you!

Answers

Answer:

Daniel's time: 3 minutes 45 seconds

Brandon's time: 3 minutes 27 seconds

Step-by-step explanation:

Well, 5 feet per every second so side A would be 327.6 / 3 = 109.2

then 489 / 5 = 97.8 add them two you get 207 seconds which is 3 minutes and 45 seconds for  Daniel.

For Brandon you have to find the hypotenuse of the triangle which in short is 588.6 / 3 = 196.2

This was my first answer on this so though Its problebly not the best I hope I did something to help. ;-;

A tool box has the dimensions of 10 in by 4 in by 7 in. If Magnus plans to double all three dimensions to build a larger tool box, he believes he would double the volume of the tool box. Is he correct?

Answers

Answer: No. He's wrong.

Step-by-step explanation:

Since the tool box has the dimensions of 10 in by 4 in by 7 in. The volume will be:

= 10 × 4 × 7

= 280in³

When the dimensions are doubled, the new dimensions will be:

10 in = 10in × 2 = 20in

4in = 4in × 2 = 8 in

7in = 7in × 2 = 14in

The volume will now be:

= 20 × 8 × 14

= 2240in³

He is wrong, the volume isn't the double of the former tool box. The double of the former tool box will give (280in³ × 2) = 560in³. This is different from the new volume.

Now that you know how long it will take to buy your house from Assignment 4 and how much you need to save for retirement given different start times in your life (Assignment 5), you will now determine the time you will start saving for retirement. Add the savings time it takes to buy your house (2 years or the months you calculated, whichever is greater) to the age 22. By using the new budget from assignment 4, determine if you can afford the savings it takes from assignment 5 to retire with $1,000,000 based on your new age after buying your house. If you cannot, you have a choice, change your budget, or retire will less money.

For your answer, tell me your age, if you can afford in your budget to retire with $1,000,000. If you can, write your budget with the retirement savings added in. If you cannot, write that you cannot afford it and tell me if you are going to change your budget to afford it or simply retire with less money. Then write your budget with what savings you can afford. Remember, retiring with less money does not mean that you will have a smaller retirement income, it just means that you will pass on less than a million dollars to your children.

Answers

Answer:

You  have to answer this yourself because i believe this quesstion is directed to you and your teacher want's to know your answer

Step-by-step explanation:

How do this I can’t do it?

Answers

Answer:

scale factor = [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, scaled copy to original

scale factor = [tex]\frac{3}{9}[/tex] = [tex]\frac{1}{3}[/tex]

What is the length of the hypotenuse of the triangle when x=11​?

Answers

Answer:

hypotenuse = 93.06

Step-by-step explanation:

[tex]x = 11\\\\base = 4 \times 11 = 44\\\\height = 7x + 5 = 7 \times 11 + 5 = 77 + 5 = 82\\\\hypotenuse ^2 = base^2 + height^2\\[/tex]

                  [tex]=44^2 + 82^2\\\\=8660[/tex]

[tex]\\\\hypotenuse=93.06[/tex]

find the circumference of a circle with a radius of 2.5 cm

Answers

C=2*pi*r
2*3.141592654*2.5
Answer: 15.7 cm

Please help me, I have trouble doing these type of questions.

Answers

Answer:

Bettina= X(let)

Darren=3x

Jonathan=6x

120=X+3x+6x

X=12

so Bettina=12 yrs

Darren=36 yrs

Jonathan=72 yrs

Answer:

Step-by-step explanation:

Let Bettina's age be B.

Then Darren's age is 3 times Bettina's, or 3B.

Jonathan's age is twice that of Darren, i.e. 2 (3B) = 6B.

Altogether, the sum of their age is

B + 3B + 6B  = 120 years

10 B = 120 years

B = 12 years.

Therefore

Bettina is 12 years old

Darren is 3 times as old as Bettina, so 36 years old.

Jonathan is twice that of Darren, so 72 years old.

Total = 72+36+12= 120 years, check!  :)

i will give brainliest!! please help me, i appreciate it !!

Answers

Answer:

-4050

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

Identify

6x²y³ - 2x + 10

x = 5

y = -3

Step 2: Evaluate

Substitute in variables:                                                                                     6(5)²(-3)³ - 2(5) + 10Exponents:                                                                                                        6(25)(-27) - 2(5) + 10Multiply:                                                                                                             -4050 - 10 + 10Add:                                                                                                                   -4050

Simplify cos 0 csc 0.
a. cos 0
b. cot 0
c. tan 0
d. sin 0
Please select the best answer from the choices provided A B C D

Answers

Answer:

b cot

Step-by-step explanation:

csc= 1 over sin

so

cos x  1    =  cos  =  cot

 1      sin      sin

Help. I don't understand..

Answers

Answer:

3

Step-by-step explanation:

Answer:

75.4

Step-by-step explanation:

All angles in a triangle should equal 180, so the lil dash on K's side means angle K is the same as J

so 52.3+52.3=104.6

and 180-104.6 is 75.4

hope i helped and feel free to ask questions

in a class of 30 students the highest score in physics test was 98 and the lowest was 35 what was the range?​

Answers

Answer:

63

Step-by-step explanation:

basta ayon sagot ko obob ko eh

17. Jing has $800 to deposit into two different savings accounts.
•She will deposit $600 into an account that earns simple interest annually at a rate
of 2.75%.
•She will deposit $200 into an account that earns 2.5% interest compounded
annually.
Jing will not make any additional withdrawals or deposits. Which amount is closest
to the total balance of the two accounts at the end of 3 years?

Answers

Answer:

$864.88

Step-by-step explanation:

(1. $600 + $49.50 = $649.50

(2. $200 + $15.38 = $215.38

$649.50 + $215.38 = $864.88

A = $864.88

what multiples to -52 but also adds to 24

Answers

Answer:

-2 and 26

Step-by-step explanation:

-2*26=-52

-2+26=24

Jorge has saved $15.50. Janet saved 15 of the amount that Jorge saved. Rob saved 12 times as much as Janet. What is the total saved amount of all three?

Answers

Answer: 45.725 ( i think)

Step-by-step explanation: 2.325 + 27.9 + 15.50

45.725 is the answer

Given the equation ab= c where a=2.
Select an equation that is equivalent.

A. ax2=c
B. bx2=c
C. cxa= b
D. b x C = a

Answers

The answer is B you can see my steps

(X+4) • (3x)

(Help answer this )

Answers

Answer:

3x^2 +12x

Step-by-step explanation:

(x+4) • (3x)

Distribute

3x*x + 3x*4

3x^2 +12x

What is the area of this triangle?

Answers

Area is 1/2•b•h so 25

reduce 50/80 to the simplest terms in fractions

Answers

Answer:

5/8

hope this helps

have a good day :)

Step-by-step explanation:

please help!! i need help asap <33

Answers

Answer:

9

Step-by-step explanation:

30 Points I NEED HELP ASAP MATH PROBLEM 7th Grade

Answers

Answer:

-45 =x

Step-by-step explanation:

1/5(4x-2.5) = 5(.4x+10) +3 1/2

Change all to decimal form

.2(4x-2.5) = 5(.4x+10) +3.5

Distribute

.8x - .5 = 2x +50 + 3.5

Combine like terms

.8x - .5 = 2x +53.5

Subtract .8x from each side

.8x-.8x - .5 = 2x-.8x +53.5

-.5 = 1.2x +53.5

Subtract 53.5 from each side

-.5 -53.5 = 1.2x +53.5-53.5

-54 = 1.2x

Divide each side by 1.2

-54/1.2 = 1.2x /1.2

-45 =x

Write a short para based on how the pandemic has affected travelling.

Answers

Answer:

Unlike many of history’s great tragedies, the coronavirus pandemic never stunned us with one catastrophic event. Instead, the deadly problem quietly snaked its way around the world, devastating millions as it grew into a global health crisis since it first surfaced in November.

Our realities shifted slowly at first, and before we knew it, the coronavirus took over completely.

As we closed borders, canceled events and self-quarantined at home on a mass scale, the travel industry, as well as most other sectors, began to nosedive. The collective effort to save lives meant economic catastrophe for an industry that profits from people leaving their houses.

The wound inflicted by the pandemic on the travel industry is deep, and it hasn’t stopped bleeding yet.

In a May 20 call with analysts, Royal Caribbean Cruises chief executive Richard Fain recalled how drastically travel changed after the 9/11 terrorist attacks — and how the “new normal” eventually just became normal. He expects to see a similar phenomenon in the post-coronavirus world.

sorry it didnt let me send it so i took a lictire of it stay safe out there in the world wherever you are to let you know god is with you all the time if your in fear pray to him and he will take the fear away from you. anyways, stay safe and love you all!❤

On a map, the distance between two towns is 12 centimeters. If 3 centimeters represents 90 miles, what is the actual distance between the cities in miles?

Answers

360 miles, I’m pretty sure
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