The post office sold 39-cent stamps in sheets of 25 stamps. What was the price for the sheet of stamps?

The amplitude of the function y = 3 - 4 sin(3x) is 4.

To find the amplitude of the function y = 3 - 4 sin(3x), we look at the coefficient of the sine function, which in this case is -4.

The amplitude of a sinusoidal function determines the maximum displacement from the midline.

In general, the amplitude represents the "height" or "magnitude" of the oscillation.

For the function y = 3 - 4 sin(3x), the amplitude is equal to the absolute value of the coefficient in front of the sine function, which in this case is |-4| = 4.

This means that the graph of the function oscillates vertically between a maximum value of 3 + 4 = 7 and a minimum value of 3 - 4 = -1, with a total vertical distance of 4 units.

It's important to note that the amplitude is always positive, as it represents the magnitude of the oscillation and is independent of any vertical shifts or translations of the function.

Understanding the amplitude helps in visualizing the range of the function's values and how it varies over the given domain.

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If the target behavior is recorded whenever it occurs at any point within the scoring interval, the measurement procedure used is called continuous recording or event recording. This method involves observing and recording each instance of the behavior without considering its duration or intensity.

Continuous recording is typically used when the target behavior is discrete and occurs relatively infrequently or has a short duration. With this measurement procedure, each occurrence of the behavior is recorded as a separate event, regardless of when it starts or ends within the scoring interval. Examples of behaviors that can be measured using continuous recording include vocalizations, hand clapping, or instances of aggression.

Continuous recording provides a comprehensive account of the frequency or rate at which the behavior occurs, allowing for a detailed analysis of its occurrence patterns. This method is particularly useful when a precise count of behavior instances is needed and when the duration or intensity of the behavior is not a focus of measurement.

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Answer:

\(x=12\)

Step-by-step explanation:

Since the polygons are similar, we can use the formula: \(\frac{x}{15}=\frac{32}{40}\). Using cross-multiplication , we obtain: \(40x=15*32\\x=\frac{15*32}{40}= 12\).

Answer: Greater than the actual product

Step-by-step explanation: Trust

The calculated value of the area of the parallelogram is 99 square cm

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

The parallelogram

Where we have

Height = 11 cm

Base = 5 cm  + 4 cm = 9 cm

The area of the parallelogram is calculated as

Area = Base * Height

Substitute the known values in the above equation, so, we have the following representation

Area = 11 * 9

Evaluate the product of 11 and 9

So, we have the following representation

Area = 99

Hence, the area of the parallelogram is 99 square cm

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Answer: C

Step-by-step explanation: 3x and 5x both have x

Answer:

21 minutes

Step-by-step explanation:

Ms.Keller is speed reading a book that has 342 pages, she has already completed 300 of them and can read 2 pages per minute. The question is asking how long it'll take her to finish this book.

So we know the vital information that Keller reads two pages per minute and she only has 42 pages left of the book, this is all we need to answer the question.

All we need to do is divide 42 by 2 :

42 / 2

21

Therefore, it'll take Ms.Keller 21 minutes to finish the book at the constant speed

The repeating decimal 0.8 as a geometric series 0.8 = 8/10 + (8/10)^2 + (8/10)^3 + ...

To express the repeating decimal 0.8 as a geometric series, we can start by observing the repeating pattern. In this case, the digit 8 repeats indefinitely. We can write 0.8 as follows:

0.8 = 0.8888...

To convert this into a geometric series, we need to identify a common ratio that will generate each subsequent term. In this case, the common ratio can be obtained by dividing the repeating digit by 10, which represents the shifting of the decimal point to the right. Thus, the common ratio is 8/10, which simplifies to 4/5.

Now we can express the repeating decimal 0.8 as a geometric series using the formula for an infinite geometric series:

0.8 = 8/10 + (8/10)^2 + (8/10)^3 + ...

In general, the nth term of the series is given by (8/10)^n. Since the repeating decimal has an infinite number of terms, we have successfully represented 0.8 as a geometric series.

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The area of the square enclosure is calculated as Area = AB² = 5² = 25 square units.

To find the length of the fourth side of the square, find the distance between points C(7,4) and D(x,y). AB and CD are parallel and perpendicular to each other, so they have the same length. Hence,

AB = CD = √((4-0)² + (0-3)²) = 5

Using this distance to find coordinates at point D:

D(x,y) = A(0,3) + (-5,-5) = (-5,-2)

Now to find the length of each side of the square:

AB = CD = √((4-0)² + (0-3)²) = 5

BC = AD = √((7-4)² + (4-0)²) = 5

Therefore, the area of the square enclosure is:

Area = AB² = 5² = 25 square units.

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Answer:

25 / 2

Step-by-step explanation:

12.5% = 125 / 10 ( simplify the fraction with 5 )

= 25 / 2

The measure of the third angle in Elise angle measurement is

The third angle of the triangle is solved with knowledge of sum of angles on a triangle being equal to 180 degrees and a triangle having three angles

say the third angle measure is x, so we have that

30 + 100 + x = 180

130 + x = 180

collecting like terms

x = 180 - 130

x = 50

we can therefore say that the third angle is 50 degrees

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We can use the Comparison Test to determine the convergence of the given series:

Since 0 ≤ cos^2(n) ≤ 1 for all n, we have:

0 ≤ cos^2(n) / (n^5 + 1) ≤ 1 / (n^5)

The series ∑(n=1 to ∞) 1 / (n^5) is a convergent p-series with p = 5, so by the Comparison Test, the given series is also convergent.

Therefore, the series ∑(n=1 to ∞) cos^2(n) / (n^5 + 1) is convergent.

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Answer: go to the 0 point then got to the right 2 and down 3  

Step-by-step explanation:

The area of the rectangle should be written as 0.682 m². To determine the area of a rectangle, you multiply its length by its width. The length of the rectangle is 1.125 m, and the width is 0.606 m.

Area of rectangle = length x widthA = 1.125 m x 0.606 mA = 0.68175 m²Now, rounding the answer to the correct number of significant figures, which is 3. The digit after the third significant figure is 7 which is greater than 5, therefore the third digit should be rounded up. So the final answer will be 0.682 m².

Thus, the long answer to this question is: After multiplying the length and width of a rectangle of dimensions 1.125 m and 0.606 m respectively, the product obtained from the calculator is 0.68175. To find the area of the rectangle, we use the formula A = l × w, which gives A = 1.125 m × 0.606 m = 0.68175 m². Rounding this answer to 3 significant figures, we find that the third digit is 1 which is greater than 5. Therefore, we must round the third digit up to get the final answer of 0.682 m².

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Answer: $7.65 for a dozen/12

Step-by-step explanation: 2.55 x 3

There are  676,000 different 6-digit license plates that can be made if the first two positions are letters and the last four are digits.

For the first position (letter), there are 26 choices

For the second position (letter), there are also 26 choices

For the third position (digit), there are 10 choices (0-9).

For the fourth position (digit), there are 10 choices (0-9).

For the fifth position (digit), there are 10 choices (0-9).

For the sixth position (digit), there are 10 choices (0-9).

So, the total number of possible combinations, we multiply the number of choices for each position:

= 26 x 26 x 10 x 10 x10 x 10

= 676,000

Therefore, there are 676,000 different 6-digit license plates that can be made if the first two positions are letters and the last four are digits.

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Answer:16

Step-by-step explanation:

15+22+13+14=64

64:4=16

the median is 64

please give me the best answer i really need it

Answer:

-8-5p

Step-by-step explanation:

I'm pretty sure

Q6: Approximately 68.3% of the cherry tomatoes sold by Berkeley Bowl fall within the specified diameter limits of 20 mm to 32 mm.

Q7: To achieve half of the Six Sigma Quality, the standard deviation of the process should be approximately 0.22 mm for Berkeley Bowl's cherry tomatoes.

In Q6, we can use the concept of the normal distribution to determine the percentage of tomatoes within the specification limits. Since the average diameter is 26 mm and the standard deviation is 3 mm, we can assume a normal distribution and calculate the percentage of tomatoes within one standard deviation of the mean. This corresponds to approximately 68.3% of the tomatoes falling within the specified limits.

In Q7, achieving Six Sigma Quality means that the process has a very low defect rate. In this case, half of the Six Sigma Quality means reducing the variability in diameter to half the acceptable range.

The acceptable range is 32 mm - 20 mm = 12 mm. To achieve half the range, the standard deviation should be approximately half of 12 mm, which is 6 mm. Since the standard deviation is given as 3 mm, the process would need to be improved to reduce the standard deviation to approximately 0.22 mm for it to meet half of the Six Sigma Quality.

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Answer:

100_7=93....93/15.5=6

Step-by-step explanation:

6 persons include her

Answer:

$100 = (15.50x) + 7.00

Step-by-step explanation:

100-7 -= 93

93/15.5 = 6

x=6 (people including herself)

Answer:

5,386,830

Step-by-step explanation:

The critical value of z separates the rejection region from the nonrejection region while observed value of z is the value calculated for a sample statistic such as x.

A critical value of z is used when the sampling distribution is normal, or close to normal. The critical value of z refers to the point that cuts off area under graph for the standard normal distribution separating the rejection and nonrejection region of the data. The Critical value of z can indicate what probability any particular variable will have. These values are typically obtained from a table such as the standard normal distribution table. The observed value of z is a value determined for a sample statistic x. It is a test statistic for Z-tests that measures the difference between an observed statistic and its hypothesized population parameter in units of the standard deviation.

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Step-by-step explanation:

step 1. 40% of 700 means (40/100)(700)

step 2. (40/100)(700) = 280

step 3. mentally 7*4 = 28 so you know your answer has 28 in it

step 4. 40% of something is just less than half

step 5. half of 700 is 350. your answer is just less than that with a 28 in it. your answer is 280.

The value of a5 is 8.

Given that,

a₁ = 4

aₙ = aₙ₋₁ + 1

So, we can find the second term a₂ using the equation of nth term,

a₂ = a₍₂₋₁₎ + 1

a₂ = a₁ + 1

Applying the value of a₁,

a₂ = 4 + 1

a₂ = 5

So, finding the value of a₃,

a₃ = a₍₃₋₁₎ + 1

a₃ = a₂ + 1

a₃ = 5 + 1

a₃ = 6

So, the value of a₄ will be,

a₄ = a₃ + 1 = 6 + 1

a₄ = 7

Therefore,

a₅ = a₄ + 1 = 7 + 1

a₅ = 8

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Answer:

Part A. x is greater than y

Part B. y is greater than x.

Step-by-step explanation:

Part A: if x=10+y, this means that x is 10 greater than y, meaning that x would be greater than y. for example, if y=5, then x=10+5, which would be 15.

Part B: if x=10-y, this means that x is 10 less than y, meaning that y is greater than x. for example, if y=9, then x=10-9, which would be 1.

Answer: slope is negative 1

Step-by-step explanation: