How many serving of cookies does this recipe make? How many serving are in 1 dozen cookies? How many servings are in 4 dozen cookies?

Answer:

If the amount is P, with the interest rate of 12%, the interest over the year is:

In this case the quarterly interest rate is:

With the same amount and 3% quarterly rate, the yearly interest would be:

The quarterly interest rate in this case is:

If the quarterly interest rate is r, it should be little less than 3% to yield a 12% yearly rate.

So Kraig is wrong.

The mode of a dataset is the value that appears most frequently. In this case, we need to find the interval of rainfall that occurs most frequently.

From the given data, we can see that the interval "less than 0.01 inch" has the highest frequency with 165 days. Therefore, the mode of this dataset is "less than 0.01 inch"

Effective communication is crucial in all aspects of life, including personal relationships, business, education, and social interactions. Good communication skills allow individuals to express their thoughts and feelings clearly, listen actively, and respond appropriately. In personal relationships, effective communication fosters mutual understanding, trust, and respect.

In the business world, it is essential for building strong relationships with clients, customers, and colleagues, and for achieving goals and objectives. Good communication also plays a vital role in education, where it facilitates the transfer of knowledge and information from teachers to students.

Moreover, effective communication skills enable individuals to engage in social interactions and build meaningful connections with others. Therefore, it is essential to develop good communication skills to succeed in all aspects of life.

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the solution to the system of equations is x = 2 and y = 1.

To solve the system of equations by substitution, we will solve one equation for one variable and substitute it into the other equation.

Given the system of equations:

1) y = 6x - 11

2) -2x - 3y = -7

Step 1: Solve equation (1) for y.

  y = 6x - 11

Step 2: Substitute the value of y from equation (1) into equation (2).

  -2x - 3(6x - 11) = -7

Step 3: Simplify and solve for x.

  -2x - 18x + 33 = -7

  -20x + 33 = -7

  -20x = -7 - 33

  -20x = -40

  x = (-40)/(-20)

  x = 2

Step 4: Substitute the value of x into equation (1) to find y.

  y = 6(2) - 11

  y = 12 - 11

  y = 1

Therefore, the solution to the system of equations is x = 2 and y = 1.

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The solution to the system of equations y = 6x - 11 and -2x - 3y = -7 is x = 2 and y = 1. This is achieved by substituting y into the second equation, simplifying, and solving for x, then substituting x back into the first equation to solve for y.

To solve the system of equations y = 6x - 11 and -2x - 3y = -7 by substitution, we start by substituting the equation y = 6x - 11 into the second equation in place of y, giving us -2x - 3(6x - 11) = -7. Next, simplify the equation by distributing the -3 inside the parentheses to get -2x - 18x + 33 = -7. Combine like terms to get -20x + 33 = -7. Subtract 33 from both sides to obtain -20x = -40, and finally, divide by -20 to find x = 2.

Once we find the solution for x, we substitute it back into the first equation y = 6x - 11. Substituting 2 in place of x gives y = 6*2 - 11, which simplifies to y = 1.

Therefore, the solution to the system of equations is x = 2 and y = 1.

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Zion earn $5025 on a deposit of 10,000 for one year at 5.12% compounded daily.

The formula for daily compounding is :

A = P * \((1 + r/n)^{nt}\)

Principal P =  10,000

Rate of interest r = 5.12%

Time t = 1 years.

number of times compounded n = 365 days.

So,

A = 10,000 * \((1 + 0.0512/365)^{365*1}\)

A = 10,000 * 1.5025

A = 15,025

Interest = A - P

Interest = 15,025 - 10,000

Interest = 5025

Thus, the Zion earn $5025 on a deposit of 10,000 for one year at 5.12% compounded daily.

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Answer:

0.835

Step-by-step explanation:

Hope this helps and have a great day!!!

Answer:

800.035

Step-by-step explanation:

The graph of the inequality ­y > -3x + 5 is added as an attachment

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

­y > -3x + 5

The above expression is a linear inequality that implies that

Next, we plot the graph

See attachment for the graph of the inequality

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The solution to the systems of equations graphically is (2, 4)

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

y = 2x

y = -x + 6

Next, we plot the graph of the system of the equations

See attachment for the graph

From the graph, we have solution to the system to be the point of intersection of the lines

This points are located at (2, 4)

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The half-life of the substance is approximately 20.48 years.

The half-life of a radioactive substance is the amount of time it takes for half of the initial quantity of the substance to decay.

In this case, we are given that the substance decays by 3.3% each year.

To find the half-life, we can use the following formula:

Half-life = (ln(2)) / (decay constant)

The decay constant can be calculated using the percentage decay per year.

Since the substance decays by 3.3% each year, the decay constant can be expressed as:

decay constant = -ln(1 - 0.033)

Now we can substitute the value of the decay constant into the half-life formula:

Half-life = (ln(2)) / (-ln(1 - 0.033))

Using a calculator to perform the calculations:

decay constant ≈ -ln(0.967) ≈ 0.0338

Half-life ≈ (ln(2)) / 0.0338 ≈ 20.48 years (rounded to 2 decimal places)

Therefore, the half-life of the substance is approximately 20.48 years.

In summary, with a decay rate of 3.3% per year, the half-life of the radioactive substance is approximately 20.48 years.

This means that it takes approximately 20.48 years for half of the initial quantity of the substance to decay.

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Answer: 819

Step-by-step explanation:

273 x 3= 819

Step-by-step explanation:

discretion data is something that will never change

continous data is data that will continue to become either larger or smaller

discret = ticket sales, number of employees

continuous = age,height

Answer:

1/8

Step-by-step explanation:

2⁻³ = 1 / 2³ = 1 / (2*2*2) = 1/8

so the minus sign in the exponent means you can put that factor in the denominator without the minus sign.

The compound inequality for the given situation is $2.75x + $4.25y ≥ $65 and $2.75x + $4.25y ≤ $75, where x represents the number of daylight cameras and y represents the number of flash cameras.

To solve this compound inequality, we need to find the values of x and y that satisfy both conditions. The inequality $2.75x + $4.25y ≥ $65 represents the lower bound, ensuring that the total cost of the cameras is at least $65. The inequality $2.75x + $4.25y ≤ $75 represents the upper bound, making sure that the total cost does not exceed $75.

To list the solutions involving whole numbers of cameras, we need to consider integer values for x and y. We can start by finding the values of x and y that satisfy the lower bound inequality and then check if they also satisfy the upper bound inequality. By trying different combinations, we can determine the possible solutions that meet these criteria.

After solving the compound inequality, we find that the solutions involving whole numbers of cameras are as follows:

(x, y) = (10, 10), (11, 8), (12, 6), (13, 4), (14, 2), (15, 0), (16, 0), (17, 0), (18, 0), (19, 0), (20, 0).

These solutions represent the combinations of daylight and flash cameras that fulfill the requirements of buying exactly 20 cameras and spending between $65 and $75.

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Laplace transforms are an essential mathematical tool used to solve differential equations. These transforms transform differential equations to algebraic equations that can be solved easily.

To solve the differential equations given in the question, we will use Laplace transforms. So let's start:Solution:a) y" – y = t y(0) = 1, y'(0) = 1First, we take the Laplace transform of the given differential equation.L{y" - y} = L{ty}

Taking the Laplace transform of both sides gives:L{y"} - L{y} = L{ty}Using the formula, L{y"} = s²Y(s) - s*y(0) - y'(0), and L{y} = Y(s) then we get:s²Y(s) - s - 1 = (1/s²) + (1/s³)Rearranging the above equation, we get:Y(s) = [1/(s²*(s² + 1))] + [1/(s³*(s² + 1))]Now, we apply the inverse Laplace transform to find the solution.y(t) = (t/2)sin(t) + (cos(t)/2)

The solution of the differential equation y" – y = t, with initial conditions y(0) = 1, y'(0) = 1 is y(t) = (t/2)sin(t) + (cos(t)/2).

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Answer:

d

Step-by-step explanation:

because it is any number greater than-4

Answer:

A

Step-by-step explanation:

Answer:

2y - 3x = -15

Step-by-step explanation:

Slope of the line 4x + 6y = 1 is as shown below;

Rewrite in slope intercept form;

6y = -4x+1

y = -4x/6 + 1/6

y = -2x/3 + 1/6

mx = -2/3x

m = -2/3

The slope of the line perpendicular M = -1/(-2/3)

M = 3/2

Get the x and y intercept of 2x+3y = 18

x intercept occurs when y  = 0

2x + 0 = 18

x= 18/2

x = 9

y intercept occurs when x  = 0

0 + 3y = 18

3y= 18

y = 18/3

y = 6

The line passes through the point (9,6)

Write the equation in point slope form

y - y0 = m(x-x0)

y - 6  = 3/2(x-9)

2(y-6) = 3(x-9)

2y - 12 = 3x - 27

2y - 3x = -27 + 12

2y - 3x = -15

This gives the required equation

The equation that shows a population of 10,000 is growing at the rate of 5% per year is:P = 10,000(1 + 0.05)twhere P represents the population and t represents the number of years.

The above equation is a type of exponential growth formula that predicts how a population will change over time, based on a constant growth rate. In this case, the population is growing at a rate of 5% per year.

In order to determine the population at a specific time, we substitute the value of t (the number of years) into the equation.

For example, if we want to know the population after 10 years, we would substitute t = 10 into the equation:P = 10,000(1 + 0.05)10P = 10,000(1.05)10P = 10,000(1.6289)P = 16,289So after 10 years, the population would be 16,289.

To find out when the population would double, we set P = 20,000 (double the initial population) and solve for t:P = 10,000(1 + 0.05)t20,000 = 10,000(1 + 0.05)t2 = (1 + 0.05)tln(2) = t ln(1.05)t = ln(2) / ln(1.05)t ≈ 14.21So the population would double in approximately 14 years and 2 months.

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Answer:

(1, -2)

Step-by-step explanation:

equate the two answers (make them equal to each other). Then solve.

7x + 11 = -3x + 1

7x + 3x = 1 - 11

10x = -10

x = 1

Plug "x" in to one of the equations to find "y" (I'm using equation 2)

y = -3(1) + 1

y = -3 + 1

y = -2

final answer: (1, -2)

Answer:

it is d

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:42.875 feet3

Step-by-step explanation:

Answer:

Step-by-step explanation:

V=a³

=\((3\frac{1}{2})^3=42\frac{7}{8}\)in³

c. False. It is not appropriate to compare two means at a same time with the way described above. This would remove the overall Type I Error is a 'Multiple Testing' problem.

The one-way ANOVA controls for the Type I Error and should be used instead. When comparing multiple means, conducting multiple independent two-sample t-tests is not recommended because the probability of committing a Type I error increases with each additional test, leading to an inflated overall Type I error rate.

ANOVA is a better method for comparing means when there are more than two groups as it compares all means simultaneously and controls for Type I error.

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Answer:

Water i hope it is correct

The expected shortfall (ES) at a 95% confidence level for these two independent investments is R0.615 million.

To calculate the expected shortfall (ES) at a 95% confidence level, we need to determine the average loss that exceeds the value at risk (VaR) at this confidence level. The VaR is the threshold at which the specified confidence level is met or exceeded.

In this scenario, each investment has a 4% chance of a loss of R15 million, a 1% chance of a loss of R1.5 million, and a 95% chance of a profit of R1.5 million. We can calculate the probabilities of each outcome and their corresponding losses:

For the R15 million loss: Probability = 0.04, Loss = R15 million

For the R1.5 million loss: Probability = 0.01, Loss = R1.5 million

For the R1.5 million profit: Probability = 0.95, Loss = 0

To calculate the expected shortfall, we consider the losses that exceed the VaR at the 95% confidence level. In this case, the VaR is R1.5 million, which is the highest loss with a 95% probability of not being exceeded. Therefore, the expected shortfall is the weighted average of the losses that exceed the VaR, considering their respective probabilities:

Expected Shortfall = (0.04 * R15 million) + (0.01 * R1.5 million) = R0.6 million + R0.015 million = R0.615 million.

Therefore, the expected shortfall (ES) at a 95% confidence level for these two independent investments is R0.615 million.

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It's B!!!           ik cuz i ggogled it lol

Answer:

I think the answer is B. $92

Step-by-step explanation:

$80 time (115 on calculator will give you 9200

Answer:

P= 2l + 2W

Step-by-step explanation:

(P-2W)/2= l

(P-2W)= 2l

P-2W= 2l

P= 2l + 2W

Answer: C

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

18 + 18 = 36

So you got 36 cuz you times by two so you times the same for x

which is

2 x 2 = 4

Answer:

4

Step-by-step explanation:

We can set up a proportion.

18:2 = 36: x

If we multiply 18 by 2, and multiply 2 by 2, we can get 18:2 = 36:4, so x is equal to 4

For the simple harmonic motion equation d=2 sin(pi/3t), the period is 6 seconds.

The period of a simple harmonic motion is the time taken for one complete cycle of the motion. In this equation, d represents the displacement or position of the object at time t. The equation is in the form of sin function with the argument (pi/3)t. The general form of the equation for simple harmonic motion is d=A sin(ωt+φ), where A is the amplitude, ω is the angular frequency, and φ is the phase angle. To determine the period of this motion, we can use the formula T=2π/ω, where T is the period and ω is the angular frequency. In this case, ω=pi/3, so the period is T=2π/(pi/3)=6 seconds (rounded to the nearest second). Therefore, the object completes one full cycle of motion every 6 seconds.

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The number of oranges that are expected to weigh more than 4 oz is:

1400 - (1400 × 0.0228)≈ 1368.

The mean weight of the oranges growing in an orchard is 8 oz and standard deviation is 2 oz, the distribution of the weight of oranges can be represented as normal distribution.

From the batch of 1400 oranges, the number of oranges is expected to weigh more than 4 oz can be found using the formula for the Z-score of a given data point.

\(z = (x - μ) / σ\)

Wherez is the Z-score of the given data point x is the data point

μ is the mean weight of the oranges

σ is the standard deviation

Now, let's plug in the given values.

\(z = (4 - 8) / 2= -2\)

The area under the standard normal distribution curve to the left of a Z-score of -2 can be found using the standard normal distribution table. It is 0.0228. This means that 0.0228 of the oranges in the batch are expected to weigh less than 4 oz.

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Answer:

13 meters

Step-by-step explanation:

The radius is half of the circumference. Please gift me brainliest