The amount of cookies at lunch can be represented by an exponential decay equation. If there are 100 cookies at the beginning of lunch and after 15 minutes, there are only 15 left, what is the rate at which students ate the cookies?

Answers

Answer 1

Answer: 0.12

Step-by-step explanation:

An exponential decay can be written as:

C(t) = A*r^t

Where A is the initial amount of cookies, A = 100

r is the rate that we are searching.

t is time in minutes, we know that at t= 0m

C(0) = 100*r^0 = 100

so at t = 0m we have 100 cookies.

now, we know that at t = 15m we have.

C(15s) = 100*r^(15m) = 15

r^15 = 15/100 = 0.15

r = (0.15)^(1/15) = 0.88

So the rate at which the cookies decrease is 0.88, and 1 - r = 0.12 is the rate at which the kids eat the cookies (meaning that the students ate 12% of the cookies per minute), so the answer is 0.12


Related Questions

Please help! Correct answer only, please! I need to finish this assignment this week. Determine the value of the following: A. B. C. D.

Answers

Answer:

B

Step-by-step explanation:

Given

[tex]\left[\begin{array}{ccc}3&2\\-4&6\\7&5\end{array}\right][/tex] - [tex]\left[\begin{array}{ccc}-1&0\\5&2\\4&9\end{array}\right][/tex]

Subtract corresponding elements to obtain difference, that is

[tex]\left[\begin{array}{ccc}3+1&2-0\\-4+5&6-2\\7-4&5-9\end{array}\right][/tex]

= [tex]\left[\begin{array}{ccc}4&2\\1&4\\3&-4\end{array}\right][/tex]  → B

If the cost price of 10 chairs equal to the selling price of 16 chairs. Find the profit or loss percent please.

Answers

Answer:

The answer should be 37.5%

Step-by-step explanation:

Which inequality has an open circle when it is graphed on a number line?

Answers

Answer:

See below

Step-by-step explanation:

If you consider an open circle, it would exclude the value with which we have circled when writing the inequality. Hence the only possible signs with in such an example can be a greater than sign ( > ) or less than sign ( < );

Let us take a look at an example to help. We are given a graph with an open circle on the number say 3. An arrow extends to the right of this number 3;

[tex]Inequality Sign - <,\\Inequality - x > 3,\\[/tex]

Hope this helps!

Eruptions of the Old Faithful geyser have duration times with a mean of 245.0 sec and a standard deviation of 36.4 sec (based on sample data). One eruption had a duration time of 110 sec.

Answers

Answer:

Difference between time = -135 sec

Step-by-step explanation:

Given:

Mean eruption = 245 sec

Standard deviation = 36.4 sec

One eruption had a duration time of 110 sec

Find:

Difference between duration time of 110 sec and mean = ?

Computation:

⇒ Difference between time = One eruption duration time - Mean

⇒ Difference between time = 110 sec - 245 sec

Difference between time = -135 sec

Find the zeroes of the quadratic polynomial 4√3x2+5x -2√3

Answers

4✔️3x2+5-2✔️3 I think this answer

solve each equation by graphing (work shown appreciated)

Answers

Answer:

Option A

Step-by-step explanation:

I used a graphing tool to graph the equations given. When graphed, the lines intercept at (-2,3). Therefore, it is the solution to the system of equations. See the picture attached for the graph.

Option A should be the correct answer.

use long division to find the quotient below (5x^5+90x^2-135x)(x+3)​

Answers

Answer:

   quotient: 5x^4 -15x^3 +45x^2

Step-by-step explanation:

The division is performed in the attachment. At each stage, the quotient is the ratio of the highest-degree terms in dividend and divisor.

To find the dividend for the next step, subtract the product of quotient term and divisor from the current dividend. This is essentially the same way you do long division using integers.

I NEED HELP ASAP
A restaurant used 1⁄3 of a bag of spinach to make 2 servings of salad. How many bags of spinach did the restaurant put in each serving?

Answers

Answer:

1/6

Step-by-step explanation:

1/6

i think the answer is 1/6

What is the value of n ?

Answers

Answer:

Your answer would be the letter a

Answer:

Step-by-step explanation:

180 -133 = 47

180-142=38

38+47= 85

180 - 85 = 95

180 - 95= 85

The answer is A

can anyone help me thanks.

Find the greatest common factor (GCF). Then, write the binomial in factored form.
3x+15

Answers

Answer:

hold up

Step-by-step explanation:

The greatest common factor would be 3, since 3 is a factor of both itself and the 15.

In factored form you get.

3(x+5)

Anyone know this ???

Answers

Answer:

A because it is super close together

Step-by-step explanation:

Answer:

B. 45°

Step-by-step explanation:

The angles of a triangle have to add up to 180°.

In this triangle C is given as 90°. That leaves 90° for the sum of the two others. Since the triangle is symmetrical, you can divide 90° by 2 to get to equal angles of 45°.

Olivia is working two summer jobs, making $7 per hour walking dogs and making $15 per hour tutoring. In a given week, she can work a maximum of 18 total hours and must earn no less than $180. If x represents the number of hours walking dogs and y represents the number of hours tutoring, write and solve a system of inequalities graphically and determine one possible solution.

Answers

Answer:

x= 11.25  y=6.75

Step-by-step explanation:

we will present all of that to equations so we have

7x+15y=180

and x+y=18

by solving those 2 equations together we get the solution

William just purchased a residential investment property for $225,000. William is 60, married, and will not occupy the property. Will this new property qualify for a homestead exemption?

Answers

No, because he has to reside on the property to qualify for a homestead exemption.

do prisms need to have rectangular or triangular bases?

Answers

Answer: Boths

Step-by-step explanation:

12.48 ÷ 7.6
[tex]12.48 \div 7.6 [/tex]

Answers

Answer:

2.08

Step-by-step explanation:

12.48 ÷ 6

= 2.08

Answer:

Hi

Answer:

= 1.6

hey mate iam indian

claim 10 points ​

Answers

Yah I want it hello hi

Answer:

k

Step-by-step explanation:

g(x) = -3x – 8
g()=10

Answers

Answer:

g(-6) = 10

Step-by-step explanation:

-3x - 8 = 10

-3x = 18

x = -6

Find the sum of the sequence: 108, 105, 102,...,15

Answers

Answer:

1968

Step-by-step explanation:

The given sequence is a finite arithmetic sequence.

Step 1: Determine the number of terms in the sequence

For an arithmetic sequence, the nth term:

A(n)=a+(n-1)d

In the sequence:

First term, a=108Last term, l=15Common difference, d=105-108= -3

Therefore, to find which term the number 15 is, we have:

15=108+(n-1)(-3)

15=108-3n+3

15=111-3n

3n=111-15

3n=96

Number of terms in the sequence, n=32

Step 2: Find the sum of the sequence

For an arithmetic sequence with a given first and last term:

[tex]Sum, S(n)=\frac{n}{2}(a+l)\\ =\frac{32}{2}(108+15)\\=16*123\\$Sum of the sequence, S(n)=1968[/tex]

The concession stand at the high school football stadium sells hot dogs and sodas. Jack bought 3 hotdogs and 2 sodas for a total of $12. Angie bought 1 hotdog and 4 sodas for $9. Solve a system of equations to determine the cost of 1 hotdog and 1 soda.


Answers

Answer: each soda costs $1.5 and each hotdog costs $3.

Step-by-step explanation:

If H is the price for one hotdog and S is the price for one soda, we have the equations:

for Jack.

3*H + 2*S = $12

For Angie.

1*H + 4*S = $9

Now we can isolate one of the variables in one of the equations and then replace it in the other equation, let's isolate H in the second equation:

H = $9 - 4*S

now we replace it in the first eq

3*H + 2*S = $12

3*($9 - 4*S) + 2*S = $12

$27 - 12*S + 2*S = $12

-10*S = $12 - $27 = -$15

S = $15/10 = $1.5

Now we can replace it in the equation for H and get:

H = $9 - 4*$1.5 = $3

So each soda costs $1.5 and each hotdog costs $3.

Answer: One hotdog cost $3 and One soda costs $1.5

Step-by-step explanation:

Let hotdogs be denoted by h

Let sodas be denoted as s

Jack bought 3 hotdogs and 2 sodas for a total of $12. This can be written as:

3h + 2s = 12

Angie bought 1 hotdog and 4 sodas for $9. This can be written as:

h + 4s = 9

3h + 2s = 12

h + 4s = 9

1 × (3h + 2s = 12)

3 × (h + 4s = 9)

3h + 2s = 12

3h + 12s = 27

Subtract the equation

-10s = -15

s = -15/-10

s = 1.5

One soda cost $1.5

Since h + 4s = 9

h + 4(1.5) = 9

h = 9 - 6

h = 3

One hotdog costs $3

this is actually a question but shhhhh, just copy it and youll get points....Drag each description to the correct location on the table. Each description can be used more than once.

Classify each polynomial based on its degree and number of terms.

cubiccubicquarticquarticquinticquinticquadraticquadraticlinearlinearmonomialmonomialmonomialbinomialbinomialbinomialtrinomialtrinomial

Answers

You already did it though.

The answer is what you got

cubiccubicquarticquarticquinticquinticquadraticquadraticlinearlinearmonomialmonomialmonomialbinomialbinomialbinomialtrinomialtrinomial

y+y+c-10+x If x=7, y=10 and c=8

Answers

Answer:

it is 25

Step-by-step explanation:

FIRSTLY YOU SUBSTITUTE

10+10+8-10+7

=25

Answer:

10 + 10 + 8 - 10 + 7

= 25

Step-by-step explanation:

Jon won 30 marbles playing horseshoes at a game night. Later, he gave 3 to each of his friends. He only has 9 left. How many friends does she have?

Answers

She has a total of 7 friends
30 marbles minus the 9 she has left is 21
21 divided by 3 per friend is 7 friends

a square scarf has a side length of 3/4 yard on each side what is the area of the scarf??

Answers

Answer:

3 unit

Step-by-step explanation:

3/4 x 4 = 12/4 = 3

Answer:

its 3-

Step-by-step explanation:

but i need it in fraction--

Please answer correctly !!!! Will mark brianliest !!!!!!!!!!!!!!

Answers

Answer:

x - 5

Step-by-step explanation:

Again, we can just write the width as (x² - 25) / (x + 5) which will be x - 5.

Answer:

area = length x width

x² - 25 = x + 5 · width

(x - 5)(x + 5) = (x + 5)w

(x - 5)(x + 5) / (x + 5) = (x + 5)w / (x + 5)

x - 5 = w

Step-by-step explanation:

1. write down the formula of area.

2. since the area is a difference of squares, factor them into two binomials, and replace the length by its measure. you can use w for width

3. to get width, divide the one of the binomials with the length that matches together to get w.

The speed of light is 3 x 108 m/s. If its frequency is 4.11 x 104 Hz, what is its wavelength?

Answers

The wavelength of the light wave is approximately 729.94 meters.

What is the speed of light?

The speed of light is regarded as a fundamental natural constant. Its relevance extends well beyond its role in characterizing an electromagnetic wave characteristic.

The speed of light is a constant, and it is equal to the product of the frequency of a light wave and its wavelength.

The speed of light is 3 x 108 m/s. If its frequency is 4.11 x 104 Hz

So if the frequency of a light wave is given, we can use this formula to calculate its wavelength:

wavelength = speed of light / frequency

Plugging in the values given in the question, we get:

wavelength = 3 x 10⁸ m/s / 4.11 x 10⁴ Hz

wavelength = 3 x 10⁸/ 4.11 x 10⁴

wavelength = 3 / 4.11 x 10⁸/10⁴

Performing the calculation, we find that the wavelength of the light wave is approximately 729.94 meters.

To learn more about the speed of light click here:

https://brainly.com/question/394103

#SPJ5

What is the measure of ZJKL?
(Not drawn to scale)
1370
Marke this and return

Answers

Answer:

JKL = 117

Step-by-step explanation:

63 and JKL form a straight line and their sum is 180

63+ KJL = 180

Subtract 63 from each side

63+ KJL - 63 = 180-63

JKL = 117

Are the expressions –0.5(3x + 5) and –1.5x + 2.5 equivalent? Explain why or why not.

Answers

Answer:

No.

Step-by-step explanation:

If you distribute the 1st equation out, you will be able to see that it is -1.5x - 2.5 while the other equation is -1.5x + 2.5. Since you have to distribute the negative, they are not equivalent.

Answer:

Both expressions are not equal.

Step-by-step explanation:

-0.5(3x+5) = -1.5x - 2.5

–1.5x+2.5  = -1.5x + 2.5

The first expression results in subtracting 2.5, the second expression results in adding 2.5.

can someone plzz help​

Answers

Answer:

it's 12 because

2×6=12

3×4=12

4×3=12

and all of them have twelve

Answer:

it's 12 because

Step-by-step explanation:

2×6=12

3×4=12

4×3=12

all of and  them have twelve

Here is a sequence of patterns made from dots.
Find an expression, in terms of n, for the number of dots in Pattern number n.

Answers

Answer:

Hello

I think this is the answer: 3n+ n or 4n

And for fourth is 16 and fifth is 20

Step-by-step explanation:

The volume of a sphere whose diameter is 18 centimeters is _π cubic centimeters

Answers

Answer:

12 pi cubic cm

Step-by-step explanation:

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