During an 8-hour shift, Sophia can make
24 sweaters.

The given expression, \(d(n)d(n)d(n)\), represents the duration in seconds for Hailey to run her \(n^{th}\) lap. The specific values provided, 333, 777, 999, correspond to the durations of the 3rd, 7th, and 9th laps, respectively. The values 858585, 999999, and 110110110 are unrelated and do not provide any additional information about lap durations.

The expression \(d(n)d(n)d(n)\) suggests that each lap duration is represented by the function \(d(n)\), where \(n\) denotes the lap number. The specific values given (333, 777, 999) correspond to the 3rd, 7th, and 9th laps, respectively. However, the remaining values (858585, 999999, 110110110) do not appear to have a direct connection to the lap durations or the function \(d(n)\).

Without further information or a specific pattern, it is difficult to interpret the significance of the remaining values. It's important to note that more context or information about the pattern or relationship between the values would be necessary to provide a more detailed explanation or analysis.

Learn more about duration here:
brainly.com/question/32886683

#SPJ11

Answer:

y=4x+5

Step-by-step explanation:

Liner graph, therefore, y=mx+b; b is the y intercept; m is the slope

b=5, another pair is (-1,1)

need to find m first

Substituting we get:

⇒1= m(-1) + 5

⇒1= -1m + 5

⇒1-5= -m

⇒-4 = -m

⇒m=4

Eq: y=4x+5

The numbers : 4,-10 and -4 are integers.

A number without a decimal or fractional element is known as an integer, which can be both positive and negative, including zero.

The Latin word "integer" signifies "whole" or "intact." Thus, fractions and decimals are not included in integers.

All whole numbers and negative numbers are considered integers. This means that if we combine negative numbers with whole numbers, a collection of integers results.

"Negative 1 and one-third" includes a fractional part, so it is not an integer.

"2.5" and "0.ModifyingAbove 13 with Bar" contain a decimal, so it is also not an integer.

Learn more about integers here:

https://brainly.com/question/12683055

#SPJ1

Answer:0.375

Step-by-step explanation:

3/4=0.75

0.75/2=0.375

(3/4)/2=0.375

The auditing software can identify 63.7% of misreporting issues in accounting ledgers. The probability that no misreported transactions are found is 1 - 63.7% = 36.3%. The probability that at least half of the transactions are misreported is 1 - P(X  25) = 1 - P(X  24) P(X  24) = _(i=0)24 (50C_i) (0.363)i (1 - 0.363)(50 - i)  0.0001. The expected monetary gain is approximately -$49.8.

Given that an auditing software can identify 63.7% of misreporting issues in accounting ledgers. Let X be the number of accounting misreporting transactions identified by the software among 50 randomly selected transactions for the last 3 months.Probability that no misreported transactions are found:X follows a binomial distribution with n = 50 and p = 1 - 63.7% = 36.3%.P(X = 0) = (1 - p)^n = (1 - 0.637)^50 ≈ 0.0002Probability that less than 10 misreported transactions are found:

P(X < 10) = P(X ≤ 9)P(X ≤ 9)

= P(X = 0) + P(X = 1) + P(X = 2) + ... + P(X = 9)P(X ≤ 9)

= ∑_(i=0)^9 (50C_i ) (0.363)^i (1 - 0.363)^(50 - i) ≈ 0.99

Probability that at least half of the transactions are misreported:

P(X ≥ 25)P(X ≥ 25)

= P(X > 24)P(X > 24)

= 1 - P(X ≤ 24)P(X ≤ 24)

= ∑_(i=0)^24 (50C_i ) (0.363)^i (1 - 0.363)^(50 - i) ≈ 0.0001

Expected monetary gain:Let Y be the amount of money that the firm gets to earn or pay. The probability distribution of Y can be shown below:Outcomes: $200, -$50, -$100

Probabilities: P(X = 0), P(0 < X < 10), P(X ≥ 25)P(X = 0)

= 0.0002P(0 < X < 10)

= 0.99 - 0.0002 = 0.9898P(X ≥ 25)

= 0.0001E(Y)

= ($200 x P(X = 0)) + (-$50 x P(0 < X < 10)) + (-$100 x P(X ≥ 25))E(Y)

= ($200 x 0.0002) + (-$50 x 0.9898) + (-$100 x 0.0001)≈ -$49.8

Therefore, the expected monetary gain is approximately -$49.8.

To know more about probability Visit:

https://brainly.com/question/31828911

#SPJ11

The most effective chunking of the digit sequence 14929111776 would depend on the purpose of chunking.

However, a possible effective chunking could be 14-92-91-11-77-6, which groups the digits into pairs or triplets based on their similarity or pattern. Another possible chunking could be 1492-911-1776, which separates the digits based on significant historical events. Ultimately, the effectiveness of chunking would depend on the context and intended use of the sequence. The most effective chunking of the digit sequence 14929111776 would be to group the numbers into smaller, manageable chunks. One possible way to chunk the sequence is: 149-29-11-17-76. This breaks the sequence into five groups, making it easier to remember and process.

To know more about digit visit:

https://brainly.com/question/30142622

#SPJ11

a. The cost of installing 60 ft² of countertop is $810000

b. The cost of installing an extra 16 ft² of countertop is $1275136

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

c'(x) = x³/4

Integrate the marginal cost to get the cost function

c(x) = x⁴/(4 * 4)

So, we have

c(x) = x⁴/16

For 60 square feet, we have

c(60) = 60⁴/16

Evaluate

c(60) = 810000

So, the cost is 810000

An extra 16 ft² of countertop after 60 ft² have already been installed is

New area = 60 + 16

So, we have

New area = 76

This means that

Cost = C(76) - C(60)

So, we have

c(76) = 2085136

Next, we have

Extra cost = 2085136 - 810000

Evaluate

Extra cost = 1275136

Hence, the extra cost is 1275136

Read more about marginal cost at

https://brainly.com/question/17230008

#SPJ4

Question

The marginal cost (in dollars per square foot) of installing x square feet of kitchen countertop is given by c'(x) = x³/4

a) Find the cost of installing 60 ft2 of countertop.

b) Find the cost of installing an extra 16 ft2 of countertop after 60 ft2 have already been installed.

Answer:

$260

Step-by-step explanation:

20% is equal to decimal form 0.2 or fraction form 1/5

1/5 of 800 = 1/5 * 800 = 160

He earns 100$ everyday even if he made sales worth $0.

100 + 160 = 260

Selecting raffle tickets from a large bowl is an example of probability sampling without replacement.

Probability sampling is a method of selecting a subset of individuals from a larger population in a way that each individual in the population has a known and non-zero probability of being selected for the sample.

Sampling without replacement means that once an individual is selected for the sample, they are removed from the population and cannot be selected again. This is in contrast to sampling with replacement, where an individual can be selected multiple times for the sample.

In the case of selecting raffle tickets from a large bowl, each ticket has a known and non-zero probability of being selected for the sample, and once a ticket is selected, it is removed from the bowl and cannot be selected again. Therefore, this is an example of probability sampling without replacement.

Learn more about  probability  here:

https://brainly.com/question/32004014

#SPJ11

The long polynomial division of the given equation is \(\ 2x^2-5x+4-\frac{6}{5x+1}\).

What is long polynomial division?

Polynomial long division is a generalized variant of the well-known arithmetic operation known as long division. It is an algorithm for dividing a polynomial by another polynomial of the same or lower degree.

We have,

            \(10x^{3} -23\pi x^{2} +15x - 2\)   £ \(5x+1\)

By taking long division

                        \(= \:\frac{10x^3-23x^2+15x-2}{5x+1} \\)

                        \(= \quad 2x^2-5x+4-\frac{6}{5x+1}\)

                        \(= \ 2x^2-5x+\frac{20x-2}{5x+1}\)

                        \(= \ 2x^2-5x+4+\frac{-6}{5x+1}\)

By simplifying we get,

                        \(= \ 2x^2-5x+4-\frac{6}{5x+1}\)

To learn more about long polynomial division visit,

https://brainly.com/question/24662212

#SPJ13

Answer:

1 and 5 are complementary angles

Step-by-step explanation:

A complementary angle is either of two angles whose sum is 90, meaning two opposite angles that add up to 90 degrees.

If you look at angle 3, you see that it is a right angle which is 90 degrees already so any answer containing 3 and another angle is incorrect.

Why 1 and 5 is the correct answer:

the angles 1 and 2 are right next to 3 which is a 90-degree angle, meaning that 1 and 2 add up to 90. angle 5 is opposite of 2 which means that angle 5 and 2 are equal.

So the 1 and 5 would add up to 90, making it the right answer.

Hope this helps you :)

The solution to the given system of equations is (x, y, z) = (1, -5, 4).

To solve the system of equations by triangularization, we can use the method of elimination. We'll perform a series of row operations to transform the system into an upper triangular form, where the variables are easily solved for. The given system of equations is:

3x + y + 5z = 0

6x - 3y - 2z = 4

4x - y + 2z = -29

We'll start by eliminating the x-term in the second and third equations. We can do this by multiplying the first equation by 2 and subtracting it from the second equation, and multiplying the first equation by 4 and subtracting it from the third equation. After performing these operations, the system becomes:

3x + y + 5z = 0

-5y - 12z = 4

-11y - 18z = -29

Next, we'll eliminate the y-term in the third equation by multiplying the second equation by -11 and adding it to the third equation. This gives us:

3x + y + 5z = 0

-5y - 12z = 4

-30z = -15

Now, we can solve for z by dividing the third equation by -30, which gives z = 1/2. Substituting this value back into the second equation, we find y = -5. Finally, substituting the values of y and z into the first equation, we solve for x and get x = 1. Therefore, the solution to the given system of equations is (x, y, z) = (1, -5, 4).

Learn more about method of elimination here:

https://brainly.com/question/13877817

#SPJ11

A quadratic equation in algebra is any equation that can be written in standard form as where x stands for an unknown value, a, b, and c stand for known numbers, and where a 0.

Finding two values (z, y) that match the following conditions if a = 1 is necessary to factor a quadratic equation.

Z + Y = B where (z)(y) = C

Then, we may write ax2 + bx + c = 0 as (x + z)(x + y) = 0. Now that x + z or x + y = 0, we may find the value of x.

To learn more about Quadratic equations refer to:
https://brainly.com/question/24334139

#SPJ1

Answer:

the answer is 0.84

Step-by-step explanation:

assume the two numbers are on a number line and take the absolute value of their difference

Answer: $18.19

Step-by-step explanation:

Given

The original Price of the meal is \(\$20\)

After a 15% discount, the price reduced to

\(\Rightarrow \text{Reduced Price}=20\times -20\times 0.15\\\Rightarrow \text{Reduced Price}=20[1-0.15]=20\times 0.85\\\Rightarrow \text{Reduced Price}=\$17\)

After this, a sales tax is applied

So, there would be an increase in price

\(\Rightarrow \text{New Price}=17+17\times 0.07\\\Rightarrow \text{New Price}=17[1+0.07]=17\times 1.07\\\Rightarrow \text{New Price}=\$18.19\)

So, the father pays an amount of \(\$18.19\)

Answer:

SSS: Side-Side-Side
SAS: Side-Angle-Side
ASA: Angle-Side-Angle

AAS: Angle-Angle-Side

Step-by-step explanation:

They are the conditions used to determine whether two triangles are congruent or not.

The measure of angle x to the nearest tenth of a degree is 57.7°.

The figure in the image is a right triangle.

From the figure;

To determine measure of angle x, we use one of the six (6) trigonometric ratio.

Cosine = Adjacent / Hypotenuse

Plug in adjacent = 4.6 units and hyptenuse = 8.6 unit, then solve for angle x.

cos( x ) = 4.6 units / 8.6 units

Take the cosine inverse.

x = cos⁻¹( 4.6 / 8.6 )

x = 57.66397

x = 57.7 degree.

Therefore, the value of x is 51.8 degrees.

Learn more about trigonometric ratio here: brainly.com/question/28016662

#SPJ1

Answer:

\( \theta = \frac{\pi^c}{3} \)

Step-by-step explanation:

Length of arc of a circle is given by the formula:

\( l= \frac{\theta}{360\degree} \times 2\pi r\\\\\)

\( Plug\: l = \pi, \: r = 3\) in the above equation, we find:

\( \pi= \frac{\theta}{360\degree} \times 2\pi \times 3\\\\\)

\( \pi= \frac{\theta}{360\degree} \times 6\pi \\\\\)

\( \pi= \frac{\theta}{60\degree} \times \pi \\\\

\theta = \frac{\pi\times 60\degree}{\pi } \\\\

\theta = 60\degree \\\\

\theta = 60\times \frac{\pi^c}{180} \\\\

\huge\red {\boxed {\theta = \frac{\pi^c}{3}}}

\)

Answer:

Step-by-step explanation:

Given :-

To Find :-

Solution :-

We know that,

Substituting the values, we get:

↠ Perimeter = 2(9 + 7)

↠ Perimeter = 2(16)

↠ Perimeter = 32 feet

Now,

Substituting the values, we get:

↠ Area = 9 × 7

↠ Area = 56 ft²

Hence,

Answer:

22?

Step-by-step explanation:

I'm not quite sure

Answer:

8a³b²c(9a²b - 4c)

Step-by-step explanation:

The GCF of 72 and 32 is 8.

72a^5b^3c - 32a^3b^2c^2 = 8a³b²c(9a²b - 4c)

Answer:

4c^2 - 3a^2 -7ac +6bc -ab

Step-by-step explanation:

solve first 3a( a + b + c) - 2b ( a+ b +c)

which is = 3a^2 + 3ab + 3ac - 2ab - 2b^2 -2bc

there for 4c(-a + b +c) -( 3a^2 + 3ab + 3ac - 2ab - 2b^2 - 2bc)

= -4ac-3ac +4bc+2bc -3ab+2ab + 4c^2 -3a^2

=4c^2 - 3a^2 -7ac +6bc -ab

Answer:

Step-by-step explanation:

I think its D I'm not Shure I hope it helps, I would wait and see if I'm not the only one who says its D because I may be wrong.

Answer:

75 miles- 3 gallons

Step-by-step explanation:

What is the gallons for 50 miles? It doesn't say...

Answer: \(fx-7f+3\\\)

graph

\(g (x) = f(x-7)+3\\g(x)\)

Answer:

A.17

Step-by-step explanation:

x+3 + x+3 + 2x-1 + 2x-1 = x-7 + 3x+1 + 4x-8

x = 9

line CD = 2x-1

2(9) - 1

18 - 1

line CD = 17

Answer: f(n + 1) = (–0.5)f(n)

Step-by-step explanation:

This is a geometric series with common ratio -0.5.

Answer:

Do you even know who Chris Paul is

Step-by-step explanation:

Answer:

94 %

Step-by-step explanation:

i took the test