will mark brainliest if fast

Answer:

[tex]500(.75)^{n}[/tex]

Step-by-step explanation:

It is changing exponentially because if you are eating a fraction of the left over m & m's, that is a different amount each time so it can't be linear.

500(1-(1/4))^n

[tex]500(.75)^{n}[/tex]

Initial quantity of the candies = 500

If we eat [tex]\frac{1}{4}[/tex] candies each day, number of candies after one day

= 500 - [tex]\frac{1}{4}\times 500[/tex]

= 500 - 125

= 375

Number of candies after two days

= 375 - [tex]\frac{1}{4}\times (375)[/tex]

= 281.25

Therefore, sequence formed will be.

500, 375, 281.25.......n days

Ratio of 2nd and 1st term = [tex]\frac{375}{500}[/tex] = 0.75

Ratio of 3rd and 2nd term = [tex]\frac{281.75}{375}[/tex] = 0.75

Therefore, there is a common ratio of 0.75 in each successive and previous term.

And the sequence will be a geometric sequence.

Expression for the exponential decay is,

[tex]A=A_0(1-r)^n[/tex]

Here, A = Final amount

[tex]A_0=[/tex] Initial amount

r = percentage decrease

n = duration

From the given question,

[tex]A_0=500[/tex]

r = [tex]\frac{1}{4}=\frac{25}{100}[/tex]

Therefore, equation for the decrease in number of candies will be.

[tex]A=500(1-0.25)^n[/tex]

[tex]A=500(0.75)^n[/tex]

Learn more,

https://brainly.com/question/2193820

Answer:

48 cupcakes divided by the boys age equals amout of cupcakes per person.

Step-by-step explanation:

Answer: x+2 1/4

Step-by-step Explanation: It does not tell you how much you had before they added 2 1/4 cups of water. all you need is a variable to represent the unknow number. A variable is a letter that represents something, A-Z.

Answer:

Your solution is (-3,0)

Step-by-step explanation:

Hi,

We know what Y is, so we can plug it into the second equation.

2x + y = -6

2x + (x + 3) = -6

Now, add the like terms...

3x + 3 = -6

3x = -9

x = -3

Now, plug x back in to find y.

y = x + 3

y = (-3) + 3

y = 0

Your solution is (-3,0)

Hope this helps :)

Answer:

4'3 = 6'2

=

Step-by-step explanation:

4 x 4 x 4 = 64

6 x 6 = 64

hope this helps

Answer:

wouldnt the value of x be r?

Step-by-step explanation:

Literally, lets not waste anybody's time. Super simple fix, you'll thank me later!

Type in desmos graphing calculator.

Answer: 92.4

Step-by-step explanation: Median is where you add up all numbers and then divide by how many numbers there are so it would be

98+97+83+94+90= 462 Then you divide that by 5 and get 92.4

Hope this helps ^^

Answer:

t> - 15

I hope this helps, if it's right please give me brainless

<--------- -15      -10     -5      0

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

there would be an open dot under -15

Answer:

1. C(n) = 2.25n + 120

2. R(n) = 3.51n

3. P(n) = 1.26n - 120

1. 96 frozen bananas must be sold in order to make a positive profit.

2. In order to make a profit, I have to sell a minimum of 96 frozen bananas.

Step-by-step explanation:

1. Write a function, C(n), to represent your total costs for the week if you sell n frozen bananas.

Total cost is the addition of total variable cost and total fixed cost. Therefore, the function is as follows:

C(n) = 2.25n + 120

Where 2.25n is the total variable cost while 120 is the total fixed cost.

2. Write a function, R(n), to represent the revenue from the sale of n frozen bananas during the week.

Revenue is equal to selling price per unit multiplied by the number of units sold. Therefore, the function is as follows:

R(n) = 3.51 * n

R(n) = 3.51n

Where 3.51 is the selling price per unit while n the number of units sold.

3. Write a function, P(n), that represents the profits for selling n frozen bananas in a given week.

Profit is equal to total revenue minus total cost. Therefore, the function can be derived as follows:

P(n) = R(n) - C(n)

P(n) = 3.51n - 2.25n + 120

P(n) = 1.26n - 120

1. How many frozen bananas must you sell in order to make a positive profit? Write your answer as a whole number.

This can be obtained by equating the profit function to zero and solve for n as follows:

P(n) = 0 => 1.26n - 120 = 0

Therefore, we have:

1.26n = 120

n = 120 / 1.26

n = 95.2380952380952 frozen bananas

Writing it as a whole number, we have:

n = 95 frozen bananas

However, using this whole number will result in a negative profit by substituting it into the profit function as follows:

P(n) = (1.26 * 95) - 120 = -$0.30

Therefore, n has to be increased by one to 96 which is also a whole number to have a positive profit as follows:

P(n) = (1.26 * 96) - 120 = $0.96

Therefore, 96 frozen bananas must be sold in order to make a positive profit.

2. Complete the following sentence to explain the meaning of #1:

In order to make a profit, I have to sell a minimum of 96 frozen bananas.

a) a total of 677 were not satisfied. Of these 494 made a purchase  494/677

b) a total of 624 made a purchase. Of these 494 were not satisfied 494/624

Answer:

36 animals were expected to be adopted in October

Step-by-step explanation:

42%/100  = 0.42

0.42 * 85 = 35.7

35.7 rounds up to 36 animals! (Since you can't have 0.7 animals XD)

Good luck!!

Answer:

42

___ x 85 = 35.7

100

35.7 rounded would be about 36. Because that is what they are expecting to be adopted.

Answer:

3

Step-by-step explanation:

Answer: 3

3 would be the answer cuz the it goes down by 3 then 2 then 1

Answer:

I think that the answer would be C .

hope it was helpful :)

Answer:12

Step-by-step explanation:

Answer:

No, the measurements given cannot be used to create a triangle.

Explanation:

The sum of all the angles of a triangle should be 180°.

Here,

55°+80°+55°=190°

which is not equal to 180°.

So, the traingle cannot be formed using the given measurements.

Answer: 25.12

Step-by-step explanation: good luck

Answer: Yes, it is.

Step-by-step explanation:

Sorry, I just know the answer because I just did this in school. Like- right now

Answer:

The answer is "Choice d"

Step-by-step explanation:

Given data:

7 position [tex]5, 10 , 9, 8 , 2 \times 3^3[/tex]

calculating the left most filled by any of D, E, H, G, X

a possible way to fill =5

calculating the next 3 value that will be filled 0 to 10 without any repetition

possible way to fill [tex]=10 \times 9 \times 8[/tex]

calculting the last filled any if set [tex]\{I,V,X\} \ \ or \ \ \{P,Q,R\}[/tex] with repetation

possible way [tex]=2 \times 3^3[/tex]

Total different licence plates [tex]= 5 \times 10 \times 9 \times 8 \times 2 \times 3^3=194400[/tex]

Answer:

5.0 and 5.1

Step-by-step explanation:

√26 = 5.099019514 , it's from the calculator

Answer:

the square root of 26 must lie between 5 and 6

Step-by-step explanation:

5.099019514

Answer:

a and c

Step-by-step explanation:

Answer:

Step-by-step explanation:

3x-11  = x+9

2x = 20

x = 10

Answer:

x=10

Step-by-step explanation:

Answer:

$49.445 or $49.5 if they round

Step-by-step explanation:

Answer:

$948.45

Step-by-step explanation:

■ Sales tax: $49.45

■ Cost/Price before ST: $899.00

■ Total Cost/Price including ST: $948.45

Answer:

The null hypothesis is that there is no difference between the mean time it takes an online trained employee or a team-based trained employee to assemble the given part

Step-by-step explanation:

The information the director of the equipment manufacturing company is interested in determining is weather the productivity of assembly line employees is affected by the method used in their training

The total number newly hired employees in the sample = 42

The number of newly hired employees that receive training online = 21

The number of newly hired employees that receive training in a team = 21

The given data of the result of the time it takes an employee to assemble a part is presented as follows;

On-Line 19.4, 16.7, 20.7, 19.3, 21.8, 16.8, 14.1, 17.7, 16.1, 19.8, 16.8, 19.3, 14.7, 16.0, 16.5, 17.7, 16.2, 17.4, 16.4, 16.8, 18.5

Team; 22.4, 13.8, 18.7, 18.0, 19.3, 20.8, 15.6, 17.1, 18.0, 28.2, 21.7, 20.8, 30.7, 24.7, 23.7, 17.4, 23.2, 20.1, 12.3, 15.2, 16.0

The mean time for the of the on-line trained employee, [tex]\overline x_1[/tex] = 17.55714

The standard deviation of the time for the of the on-line trained employee, s₁ = 1.93328

The mean time for the of the team based trained employee, [tex]\overline x_2[/tex] = 19.89048

The standard deviation of the time for the of the team based trained employee, s₂ = 4.5667

The null hypothesis, H₀:  [tex]\overline x_1[/tex] = [tex]\overline x_2[/tex]

The alternative hypothesis, Hₐ:  [tex]\overline x_1[/tex] ≠ [tex]\overline x_2[/tex]

[tex]t=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}-\dfrac{s _{2}^{2}}{n_{2}}}}[/tex]

Therefore, we have;

[tex]t=\dfrac{(19.89048 - 17.55714)}{\sqrt{\dfrac{4.57667^{2}}{21} - \dfrac{1.93328^{2} }{21}}} \approx 2.5776[/tex]

The degrees of freedom, df = n₁ - 1 = 21 - 1 = 20

At 95% confidence level, we have α = 1 - 0.95 = 0.05, and t = 2.086

Therefore, given that the test statistic is larger than the critical 't' value, we reject the null hypothesis. There is sufficient statistical evidence to show that there is a difference between the mean time of assembly value for the on-line trained and team-based employee

Answer:

Step-by-step explanation:

Answer: C. Daphne's test score is 2.50 standard deviations above the average test score of students in the course.

Step-by-step explanation: That's what Z-score is

Answer:

The cut-off dollar amount is $328.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean cost of $328, standard deviation of $82.

This means that [tex]\mu = 328, \sigma = 82[/tex]

If you want to be in the bottom 50%, what will be the cut-off dollar amount?

The 50th percentile, which is X when Z has a pvalue of 0.5. So X when Z = 0.

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

[tex]0 = \frac{X - 328}{82}[/tex]

[tex]X - 328 = 0*82[/tex]

[tex]X = 328[/tex]

The cut-off dollar amount is $328.

Answer:

The rate increases at 398mi/h

Step-by-step explanation:

Given

[tex]\frac{dx}{dt} = 460mi/h[/tex] --- rate when [tex]y = 2[/tex] --- distance

The given parameters is represented with the attached figure

Using Pythagoras theorem [take the attached image as a point of reference]

[tex]y^2 = x^2 + 1^2[/tex]

[tex]y^2 = x^2 + 1[/tex]

Differentiate with respect to time (t):

[tex]2y \frac{dy}{dt} = 2x \frac{dx}{dt}[/tex]

Divide both sides by 2

[tex]y \frac{dy}{dt} = x \frac{dx}{dt}[/tex] --- (1)

When y = 2:

[tex]y^2 = x^2 + 1^2[/tex] --- Pythagoras Theorem

[tex]2^2 = x^2 + 1[/tex]

[tex]4 = x^2 + 1[/tex]

Collect like terms

[tex]x^2 = 4 -1[/tex]

[tex]x^2 = 3[/tex]

Solve for x

[tex]x = \sqrt 3[/tex]

So:

[tex]y \frac{dy}{dt} = x \frac{dx}{dt}[/tex]

Substitute: [tex]x = \sqrt 3[/tex], [tex]\frac{dx}{dt} = 460mi/h[/tex] and [tex]y = 2[/tex]

[tex]2 * \frac{dy}{dt} = \sqrt 3 * 460[/tex]

[tex]2 * \frac{dy}{dt} = 460\sqrt 3[/tex]

Divide by 2

[tex]\frac{dy}{dt} = 230\sqrt 3[/tex]

[tex]\frac{dy}{dt} = 230*1.7321[/tex]

[tex]\frac{dy}{dt} = 398.383[/tex]

[tex]\frac{dy}{dt} \approx 398[/tex]