mutltply 2/3 by 42 and then mutltply that product by 10

The percent of decrease of producing one widget is C. 14%

Percentage Decrease is the subtraction of a given percentage of a value from the original value. It refers to the percentage change in the value when it is decreased over a period of time.

How to determine this

If the average cost of producing one widget decrease from $12.50 to $10.75

Percentage decrease= Original value - New value/Original value * 100%

Where New value = $10.75

Original value = $12.50

Percentage decrease = $12.50 - $10.75/$12.50 * 100%

Percentage decrease = 1.75/12.50 * 100%

Percentage decrease = 0.14 * 100%

Percentage decrease = 14%

Therefore, the percent of decrease is c. 14%

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Answer:

Doing something despite difficulty or delay in achieving success.

Step-by-step explanation:

Answer:

continued effort to do or achieve something despite difficulties, failure, or opposition

Step-by-step explanation:

Answer:

-16,4 are the two numbers

The middle value between 26.27 and 26.89 is 26.58.

To find the middle value between 26.27 and 26.89, you can follow these steps:

1. Add the two numbers together: 26.27 + 26.89 = 53.16
2. Divide the sum by 2 to find the average: 53.16 ÷ 2 = 26.58

The middle value between 26.27 and 26.89 is 26.58.

The middle value of a set of numbers is commonly referred to as the "median". The median is a statistical measure of central tendency that represents the value that separates the lower and upper halves of a dataset.

To find the median of a set of numbers, the numbers must first be arranged in order from lowest to highest (or highest to lowest). If the dataset contains an odd number of values, the median is the middle value.

For example, if we have the set of numbers {1, 3, 5, 7, 9}, the median is 5, which is the value that separates the lower half {1, 3} from the upper half {7, 9}.

If the dataset contains an even number of values, the median is the average of the two middle values. For example, if we have the set of numbers {2, 4, 6, 8}, the median is (4 + 6) / 2 = 5, which is the average of the two middle values that separate the lower half {2, 4} from the upper half {6, 8}.

The median is a useful measure of central tendency because it is not affected by extreme values or outliers in the dataset, unlike the mean, which can be skewed by such values.

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Since the object is in free fall the acceleration of the object is approximately

Answer:

The answer for your question is A) 1/3

Step-by-step explanation:

as both 21 are like terms you can just add up 3 & 4 and do division

(would appreciate it if you could mark me the brainliest:))

\( \frac{3}{21} + \frac{4}{21} \)

the simplest form.

\( \frac{3 + 4}{21} \)

\( = \frac{7}{21} \)

\( = \frac{1}{3} \)

hence, the correct answer is option A.

The Laplace Transform of f(t) isL{f(t)} = L{t} + L{t + π}u(t − π) − L{t − 2π}u(t − 2π) + ...

                            = (1/s^2) + e^{−πs}(1/s^2) − e^{-2πs}(1/s^2) + ...= (1/s^2)[1 + e^{−πs} − e^{−2πs} + ...]

Given function is,f(t) ={ t, 0 < t < π π < t < 2π}

where f(t + 2 π) = f(t)

Let's take Laplace Transform of f(t)

                     L{f(t)} = L{t} + L{t + π}u(t − π) − L{t − 2π}u(t − 2π) + ...f(t + 2π) = f(t)

∴ L{f(t + 2 π)} = L{f(t)}⇒ e^{2πs}L{f(t)} = L{f(t)}

     ⇒ [e^{2πs} − 1]L{f(t)} = 0L{f(t)} = 0

when e^{2πs} ≠ 1 ⇒ s ≠ 0

∴ The Laplace Transform of f(t) is

                       L{f(t)} = L{t} + L{t + π}u(t − π) − L{t − 2π}u(t − 2π) + ...

                               = (1/s^2) + e^{−πs}(1/s^2) − e^{-2πs}(1/s^2) + ...

                              = (1/s^2)[1 + e^{−πs} − e^{−2πs} + ...]

The Laplace Transform of f(t) isL{f(t)} = L{t} + L{t + π}u(t − π) − L{t − 2π}u(t − 2π) + ...

                            = (1/s^2) + e^{−πs}(1/s^2) − e^{-2πs}(1/s^2) + ...= (1/s^2)[1 + e^{−πs} − e^{−2πs} + ...]

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Answer:

7.65

Step-by-step explanation:

Brand A:

442(times)0.17=75.14 each month

Brand B:

397(times)0.17=67.49 each month

75.14-67.49=7.65

Ms.Lee would save 7.65 each month with brand B

Which types of triangles can always be used as a counterexample to the statement "all angles in a triangle are acute" they include

Acute angles are those that are smaller than 90 degrees. 90 degrees is the angle at a right angle.

Obtuse angles are those that are more than 90 degrees.

A right triangle can be isosceles or scalene, meaning that each of its three sides is of a different length (having exactly two sides of equal length).

Equilateral triangle always have angel 60 degrees which as an acute angel

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Answer:

well it depends on how many collars you have, and if there is an image you should attach it to the question

The sum to infinity of the function is -3/2

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

\(\sum\limits^{\infty}_{1} {3^n} \,\)

From the above sequence, we have

First term, a = 3

Common ratio, r = 3

The sum to infinity of the function is calculated as

Sum = a/(1 - r)

So, we have

Sum = 3/(1 - 3)

Evaluate

Sum = -3/2

Hence, the sum is -3/2

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Question

Calculate the sum to infinity of the function for

\(\sum\limits^{\infty}_{1} {3^n} \,\)

Henry could only see one line since both lines had the same slope, which means that the graphs of both equations will be identical and hence overlap.

Linear equations in a system 3x + 2y = 4, and 9x + 6y = 12

We must demonstrate why Henry could only make out one line when he plotted the equations 3x-2y=4 and 9x-6y=12 on a graph.

Take the provided linear equation system into consideration.

3x - 2y = 4 ................(1)

9x - 6y = 12 ..................(2)

Due to the fact that equation (2) is a multiple of equation (1), 3 (3x - 2y = 4) = 9x - 6y = 12

The slopes of the provided equations are also same.

Difference with regard to x for equation (1) yields,

additional to equation (2),

With regard to x, we can differentiate to get,

The graphs of both equations will overlap since both lines have the same slope and hence have the same appearance on the graph.

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The volume of water in the ocean is estimated to be approximately 1,332,000,000,000,000,000 liters.

The Earth's oceans cover about 71% of the planet's surface and contain a vast amount of water. To calculate the volume of water in the ocean, we need to consider the average depth and the total surface area of the oceans.

The average depth of the ocean is estimated to be around 3,800 meters. The total surface area of the oceans is approximately 361,900,000 square kilometers. By multiplying the average depth by the surface area, we can find the volume of water.

Volume = Average Depth × Surface Area

Using the given values, we have:

Volume = 3,800 meters × 361,900,000 square kilometers

To convert this volume to liters, we need to consider that 1 cubic meter is equal to 1,000 liters. Therefore, we can multiply the volume in cubic meters by 1,000 to obtain the volume in liters.

Calculating the above expression, we find that the volume of water in the ocean is approximately 1,332,000,000,000,000,000 liters. This is an estimation and may vary slightly depending on the sources and assumptions used for average depth and surface area calculations.

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Area of small rectange = 7 cm × 4 cm = 28 cm sq

Area of bigger rectangle = 4cm×10 cm = 40 cm sq

Area of traingle = 1/2 × 8*3 cm sq = 12 cm sq

total area of polygon = ( 28 + 40 + 12 ) cm sq

area of polygon = 80 cm sq

The amount paid by the first place $60 when the second place pays $36.

According to the question,

We have the following information:

When the first place pays $100, the second place pays $60.

Now, we will first find the money to be paid by the first place when the second place pays $1.

So, we will find this value by dividing the money paid by the first place by the money paid by the second place.

$60 of second place = $100 of first place

$1 of second place = 100/60 of first place

$ 1 of second place = 5/3 of first place

Now, when the second place has paid $36, we have the following expression:

$36 of second place = 5*36/3

$36 of second place = $60 of first place

Hence, the first place pays $60 when the second place pays $36.

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Using the normal distribution, the probability that the sample proportion of households spending more than $125 a week is less than 0.3 is 30.29%.

Normal distribution refers to a continuous probability distribution wherein values lie in a symmetrical fashion mostly centered around the mean. In a normal distribution, the probability is calculated using the z-score of a measure X. A Z-score refers to a numerical measurement that defines a value's relationship to the mean (of a group of values).

In order to determine the probability of the sample proportion, the z-score of a measure X is determined.

z-score = (X - µ)/σ where µ is the mean and σ is the standard deviation.

The standard deviation σ = √(p(1-p)/n

From the given data:

n = no of random sample = 145

p = probability of success (household spending more than $125) = 0.32

Hence,

σ = √((0.32(1-0.32)/145) = 0.0387

Calculating the z-score when X = 0.3

z-score = (0.3 – 0.32)/0.0387 = -0.516

From the table, the probability of z = -0.516

P(X<z) = 0.30293 or 30.29%

The probability that the sample proportion of households spending more than $125 a week is less than 0.3 is 30.29%.

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The single-precision floating point representation of 0.5625 in hexadecimal is: 0x3E100000.

Identify the sign bit. In this case, the number is positive, so the sign bit is 0.

Convert the decimal number to binary. The decimal number 0.5625 (or 9/16) can be converted to binary as follows: 0.1001.

Convert the 32-bit binary number to hexadecimal. To do this, group the binary number into blocks of 4, from right to left, and convert each block into its hexadecimal equivalent:

0000 -> 0

0000 -> 0

0000 -> 0

0000 -> 0

0000 -> 0

0001 -> 1

0000 -> 0

0111 -> 7

1110 -> E

0 -> 0

So, the single-precision floating point representation of 0.5625 in hexadecimal is: 0x3E100000.

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Answer:

60.3−4.92=0

Subtract 4.92 from 60.3 to get 55.38.

55.38 = 0

Compare 55.38 or 0.

Answer:55.38=0

Step-by-step explanation:

Step-by-step explanation:

(x-9)²

= (x-9)(x-9)

= x²-9x-9x+81

= x²-18x+81

According to the statement of the question, the width of the larger box equals 2 times the width of the box shown, then the width of the larger box equals 10 cm (2×5), the rest of the dimensions of the box remain the same.

We have to calculate how much cereal can fit in the larger box, that is the internal volume of the box (the space inside the box where we can fit the cereal), the volume of a box is given by the following formula:

In this case, w equals 10 cm, l equals 30 cm and h equals 40 cm, then we get:

Then, we can fit 12000 cubic centimeters of cereal inside the larger box

To calculate the integrals Ix x and Ixy in spherical coordinates over the specified region, we need to express the volume element dV in terms of spherical coordinates.

The volume element in spherical coordinates is given by dV = r^2 sin(θ) dr d θ d φ, where r represents the radial distance, θ represents the polar angle, and φ represents the azimuthal angle.

For the integral Ix x = ∭(r^2 - x^2) dV, we need to convert the expression (r^2 - x^2) into spherical coordinates. Since x is not explicitly defined in the integral, we cannot express it solely in terms of spherical coordinates. Therefore, it is not possible to calculate Ix x directly in spherical coordinates without further information.

For the integral Ixy = ∭(-xy) dV, we can rewrite it in spherical coordinates as ∭(-r^3 sin(θ) cos(θ) sin(φ) cos(φ)) dr dθ dφ. By integrating this expression over the given range (r from 0 to 1, θ from 0 to 2π, and φ from 0 to 2π), we can evaluate Ixy numerically.

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The answer to this question depends on the sample data that is available. Without any sample data, we cannot perform a hypothesis test and answer the question.

Assuming we have sample data, we can perform a hypothesis test to determine whether there is sufficient evidence to support the mayor's claim. The null hypothesis would be that the true proportion of residents who favor annexation is 0.72 or less, while the alternative hypothesis would be that it is greater than 0.72. We would then calculate a test statistic and p-value based on the sample data, and compare the p-value to the significance level of 0.05. If the p-value is less than 0.05, we would reject the null hypothesis and conclude that there is sufficient evidence to support the mayor's claim that more than 72% of the residents favor annexation of a new bridge.

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The present value of receiving $1,354.00 per year forever, with the first payment next year and a discount rate of 15.00%, is approximately $9,026.67.


To calculate the present value of an infinite cash flow, we use the formula: Present Value = Cash Flow / Discount Rate. In this case, the cash flow is $1,354.00 per year, and the discount rate is 15.00%. By plugging these values into the formula, we get Present Value = $1,354.00 / 0.15 = $9,026.67, rounded to two decimal places.

This means that receiving $1,354.00 per year forever has a present value of approximately $9,026.67. The present value represents the worth of the infinite cash flow in today’s dollars, considering the time value of money and the given discount rate.

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We would need to survey at least 36 students if we expect the sample proportion to be roughly the same as last year, 58%.

As given that the survey last year reported that 58% of Boston College students think the bus system is excellent,

we want to update the survey for this year and decide to make an 80% confidence interval for the proportion of BC students who think the bus system is excellent with a margin of error of 0.03.

We need to determine how many students would have to survey if we expect the sample proportion to be roughly the same, 58%.

The formula for the margin of error in a confidence interval is given as:

M = Zα/2(σ/√n)

We want to find the sample size n for an 80% confidence interval, and we want the margin of error M to be 0.03.

Also, we are given that we expect the sample proportion to be roughly the same as last year, 58%.

We can substitute the values in the above formula : 0.03 = Z0.1(σ/√n)

We need to find n, so we need to simplify this formula:√n = Z0.1(σ/M)√n

= Z0.1(0.58×0.42/0.03)√n

= 1.28 × 2.685n

\(= (1.28 * 2.685)^2n\)

= 35.67

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Step-by-step explanation:

integral from 0 to 2pi of cos3x

(sin3x)/3 from 0 to 2 pi

sin 6pi /3 - sin 0 /3 = 0

Answer:

the amswer is five apples

The simplifying value of the expression is,

⇒ \((875x^{5}y^{9} )^{1/3}\)

We have to given that,

An expression to solve,

⇒ 5xy³ ∛(7x²)

Now, We can simplifying it in Order the simplification steps as,

⇒ 5xy³ ∛(7x²)

⇒ \(5^{1} * 7^{1/3} * x^{1} *x^{2/3} * y^{3}\)

⇒ \((125 * 7)^{1/3} * x^{5/3} * y^{9/3}\)

⇒ \((875x^{5}y^{9} )^{1/3}\)

Thus, The simplifying value of the expression is,

⇒ \((875x^{5}y^{9} )^{1/3}\)

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The simplification steps of the expression (125)^3 ×7^1/3 × x^1 × x^2/3.

Simplification is the process a mathematical expression by an equivalent one, that is simpler.

Simplification steps of the expression:

\(5xy^3\sqrt[3]{7x^2} \\5xy^3.7^\frac{1}{3} x^\frac{2}{3} \\\)

5 = (125)^1/3

(125)^3 ×7^1/3 × x^1 × x^2/3.

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The given categories of variables that are mutually exclusive and exhaustive are weekdays and weekend and vowels and consonants.

Mutually exclusive and exhaustive variables: A variable is mutually exclusive and exhaustive if it includes all possible outcomes and each outcome can only be assigned to one variable category.a. Days: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, and Sunday - Mutually exclusive and exhaustiveb. Days: Weekday and Weekend - Mutually exclusive and exhaustive c. Letters: Vowels and Consonants - Mutually exclusive and exhaustive. Letters: Alphabets and Consonants - Not mutually exclusive and exhaustiveThe given categories of variables that are mutually exclusive and exhaustive are weekdays and weekend and vowels and consonants. Hence, the options a and c are correct.

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