What is the percent of increase from 37.5 to 73.2?

Answer:

12394, −12322

Step-by-step explanation:

Answer:

72 words per minute

Step-by-step explanation:

1,994 words = 27 minutes       original equation

1,994/27 = 27/27                      divide both sides by 27 to get 1 minute

72 words = 1 minute ; 72 words per minute

Answer:

38

Step-by-step explanation:

40 x 95/100 = 38
95 is the amount
40 is the percent that this item is off by
100 is the maximum percent the item can be off by

Another example to prove this

40 percent * 95 =

(40:100)* 95 =

(40* 95):100 =

3800:100 = 38

The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.

To find the values of Z, we can start by expressing 2 + i√3 in polar form. Let's denote it as re^(iθ), where r is the modulus and θ is the argument.

Given: 2 + i√3

To find r, we can use the modulus formula:

r = sqrt(a^2 + b^2)

= sqrt(2^2 + (√3)^2)

= sqrt(4 + 3)

= sqrt(7)

To find θ, we can use the argument formula:

θ = arctan(b/a)

= arctan(√3/2)

= π/3

So, we can express 2 + i√3 as sqrt(7)e^(iπ/3).

Now, we can find the values of Z by taking the natural logarithm (ln) of sqrt(7)e^(iπ/3) and adding 2πik, where k is an integer. This is due to the periodicity of the logarithmic function.

ln(sqrt(7)e^(iπ/3)) = ln(sqrt(7)) + i(π/3) + 2πik

Therefore, the values of Z are:

Z = ln(2 + i√3) + 2πik, where k is an integer.

The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.

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The matrix exponential e^At for the given system is computed using diagonalization of matrix A and the formula e^At = P * E * P^(-1), where P is the matrix of eigenvectors, E is the diagonal matrix of exponential eigenvalues, and P^(-1) is the inverse of P.

To compute the matrix exponential e^At for the given system x' = Ax, where A is the coefficient matrix, we can follow the steps outlined below:

Step 1: Diagonalize the matrix A.

Step 2: Compute the matrix exponential of D.

Step 3: Compute the matrix exponential e^At.

Step 1: Diagonalize matrix A.

| 25 -25 |

A = | |

| 20 -20 |

| 0 0 |

D = | |

| 0 5 |

| 1 1 |

P = | |

| 1 4 |

Step 2: Compute the matrix exponential of D.

| e^0 0 |

E = | |

| 0 e^5 |

Step 3: Compute the matrix exponential e^At.

e^At = P * E * P^(-1)

Performing the matrix multiplication, we obtain the matrix exponential e^At.

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Answer:

hope it helps..........

Answer:

Step-by-step explanation:

yes

The dimensions of the field should be 125m by 100m to enclose the maximum area.

To solve this problem, we can use the fact that the area of a rectangle is given by A = lw, where l and w are the length and width of the rectangle, respectively. Since the field is to be subdivided into four congruent plots, we can express the width in terms of the length as w = (1/4)(l).

We can then use the fact that the total length of fencing available is 6000m to set up an equation for the perimeter of the rectangle, which is given by P = 2l + 5w. Substituting w with (1/4)(l), we get P = 2l + 5((1/4)(l)) = (9/2)l.

Solving for l in terms of P, we get l = (2/9)P. Substituting this expression for l into the equation for the area, we get A = (1/4)(l)(w) = (1/4)(l)((1/4)(l)) = (1/16)l^2.

We can now express the area in terms of P as A = (1/16)((2/9)P)^2 = (4/81)(P^2). To find the maximum area, we can take the derivative of A with respect to P and set it equal to zero, which gives dA/dP = (8/81)P = 0. This implies that P = 0 or P = 81/8. Since P cannot be zero, we have P = 81/8.

Substituting this value of P back into the equation for l, we get l = (2/9)(81/8) = 18.75. Finally, substituting l and w = (1/4)(l) into the equation for A, we get A = (1/16)(18.75)(4.6875) = 117.1875. Therefore, the dimensions of the field should be 125m by 100m to enclose the maximum area.

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Some potential advantages that can be associated with a 100% capitalist structure:

- Employment Opportunities:

- Potential for Higher Income:

- Individual Freedom and Entrepreneurship:
- Incentives for Hard Work and Efficiency:

- Economic Mobility and Opportunity for Advancement:

We have,
In a 100% capitalist structure, the advantages offered to workers can vary depending on the specific circumstances and practices within the capitalist system.

However, there are some potential advantages that can be associated with such a structure:

- Employment Opportunities:

A capitalist system often provides a wide range of job opportunities as businesses compete and expand.

This can create more employment options for workers, increasing their chances of finding suitable employment.

- Potential for Higher Income:

In a capitalist system, workers have the potential to earn higher incomes based on factors such as their skills, productivity, and market demand for their services.

Increased competition can lead to higher wages and better compensation packages for workers.

- Individual Freedom and Entrepreneurship:

Capitalism promotes individual freedom, allowing workers to choose their occupations and pursue entrepreneurial ventures.

This can provide opportunities for personal growth, creativity, and innovation.

Incentives for Hard Work and Efficiency:

In a capitalist system, workers may have incentives to work harder and increase their productivity since their earnings and success can be tied to their performance.

This can create an environment that rewards hard work and efficiency.

Economic Mobility and Opportunity for Advancement:

Capitalism can provide opportunities for workers to improve their socioeconomic status through advancement within their careers or by starting their own businesses.

This mobility allows individuals to strive for upward social and economic mobility.

Thus,

It is important to note that the advantages and outcomes of a capitalist system can vary depending on factors such as government regulations, labor laws, social safety nets, and market conditions.

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Answer:

I think that's right. I checked my answer and proved it on that sheet.

Answer:

The first on is -80,

next one is -60

third one 3

last one is -54

Step-by-step explanation:

Answer:

Step-by-step explanation:

The center is given:

Find the radius, the distance from the center to a point (2, 6)

Use circle formula:

Answer:

Step-by-step explanation:

Let the sides be:

According to question are given:

Use Pythagorean to find the length of hypotenuse:

The first option is discarded, as all sides should be positive. With a = 1 we get negative value for c.

So a = 17 cm.

Find the other sides:

Find the perimeter:

Answer:

40 cm

Step-by-step explanation:

Pythagoras Theorem

\(a^2+b^2=c^2\)

where:

Let a be the shorter leg.

If the hypotenuse is 1 cm longer than twice the shorter side then:

\(\implies c = 2a + 1\)

If the hypotenuse is 2 cm longer than the other side then:

\(\implies c = b + 2\)

Equate the two expressions for c and solve for b:

\(\implies b+2=2a+1\)

\(\implies b=2a-1\)

Substitute the expression for c involving a, and the expression for b involving a, into Pythagoras Theorem and solve for a:

\(\implies a^2+(2a-1)^2=(2a+1)^2\)

\(\implies a^2+4a^2-4a+1=4a^2+4a+1\)

\(\implies a^2-4a=4a\)

\(\implies a^2-8a=0\)

\(\implies a(a-8)=0\)

\(\implies a=0, \quad a=8\)

Since the length of a side cannot be zero, a = 8.

The perimeter of a two-dimensional shape is the distance around the outside.   Therefore, the perimeter of the triangle is the sum of its sides:

\(\begin{aligned} \implies \textsf{Perimeter}&=a+b+c\\&=a+(2a-1)+(2a+1)\\&=5a\end{aligned}\)

Substitute the found value of a into the expression for the perimeter:

\(\begin{aligned} \implies \textsf{Perimeter}&=5(8)\\&=40\sf \; cm\end{aligned}\)

Therefore, the perimeter of the triangle is 40 cm.

Answer:

30 minutes

Step-by-step explanation:

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The furnaces will have the same temperature after 15 minutes.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 4 is an equation.

3x = 4 is an equation.

We have,

The temperature of one furnace is 1,200°C and cools at a rate of 15°C per minute.
This can be written as,

After x minutes the temperature is:

= 1200 - 15x _____(1)

The temperature of another furnace is 900°C and is heated at a rate of 5°C per minute.

This can be written as,

After x minutes the temperature is:

= 900 + 5x _____(2)

Now,

From (1) and (2) we get,

The furnaces have the same temperature.

1200 - 15x = 900 + 5x

Adding 15x on both sides.

1200 = 900 + 5x + 15x

1200 = 900 + 20x

Subtracting 900 on both sides.

1200 - 900 = 20x

300 = 20x

Divide both sides by 20.

x = 300/20

x = 15

Thus,

The furnaces will have the same temperature after 15 minutes.

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Answer:

m = (6-4)/(-1-5) or - 1/3

Step-by-step explanation:

m = (6-4)/(-1-5)

or

- 1/3

The vertices of A"B"C"D" are A"(-4, -3), B"(3, -2), C"(2, -7), and D"(-1, -8).

Given that, the coordinates are A(3, -4), B (0, -3), C(-1, -8), and D(-4,-9).

A. Given that, translated along the vector (7, 0).

The translation of vector A, B, C, and D along the vector (7, 0) will result in the points given by A'(10, -4), B'(7, -3), C'(6, -8), and D'(3, -9).

B. Given that, 90 degree counterclockwise rotation about (3, -2).

90 degree counterclockwise rotation about (3, -2) will result in the points given by A"(-4, -3), B"(3, -2), C"(2, -7), and D"(-1, -8).

Therefore, the vertices of A"B"C"D" are A"(-4, -3), B"(3, -2), C"(2, -7), and D"(-1, -8).

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Answer:

Question 2 = True

I don't know the first question, the test wouldn't tell me:/

Angle C, Angle Z, Angle A, and Angle W are all angles whose cosine equals 35 and the statement that Sin B is greater than Sin Y is false.

The two triangles are said to be similar that have the same proportion of sides and angles.

Corresponding sides are in the same ratio.

a/p = b/q = c/r

In triangle ABC

AB = 5, AC = 3, BC = 4

Cos A = base/ hypotenuse

          = 3/5

Cos B = base/ hypotenuse

          = 4/5

Cos C = base/ hypotenuse

          = 3/5

In triangle WYZ

Cos W = base/ hypotenuse

           =  3/5

Cos Z = base/ hypotenuse

          = 4/5

Hence, Angle C, Angle Z, Angle A, and Angle W are all angles whose cosine equals 35.

In triangle WYZ

WY = 13

In triangle ABC

CB = 24, AC = 10

Sin B = Perpendicular/ hypotenuse

         = 10/26

Sin Y = Perpendicular/ hypotenuse

        = 5/13

Since both angles are equal also they are similar to each other.

Therefore, the statement that Sin B is greater than Sin Y is false.

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The absolute value inequality that represents the range of normal body temperatures (T) of a camel throughout the day can be expressed as: |T - T_avg| ≤ ΔT

- T is the body temperature of the camel at any given time during the day.

- T_avg represents the average body temperature of the camel.

- ΔT represents the acceptable range of variation around the average body temperature.

The absolute value inequality states that the difference between the body temperature (T) and the average body temperature (T_avg) should be less than or equal to the acceptable range of variation (ΔT). This allows for slight fluctuations in body temperature within the specified range.

For example, if the average body temperature of the camel is 37 degrees Celsius and the acceptable range of variation is ±0.5 degrees Celsius, the absolute value inequality would be:

|T - 37| ≤ 0.5

This inequality ensures that the body temperature of the camel stays within 0.5 degrees Celsius above or below the average body temperature throughout the day, indicating the range of normal body temperatures for the camel.

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The centreline bar-x, the upper control limit (UCL), and the lower control limit (LCL) needed to construct a control chart for the process mean are bar-x = 53.4, UCL= 53.8120, and LCL= 52.8880.

As per data that temperatures are taken from 10 different locations on the floor at the same time for 7 days.

The means of the temperatures are recorded in the table. And the mean of the ranges as 1.5°F.

Then, we have to find the centreline bar-x, the upper control limit (UCL), and the lower control limit (LCL) needed to construct a control chart for the process mean.

The data is given below: Locations Temperature means.

|1|53.4|2|53.3|3|53.3|4|53.2|5|53.4|6|53.5|7|53.4|8|53.5|9|53.6|10|53.3|

Mean bar-x = (Sum of means of all 10 locations)/10

            = (53.4+53.3+53.3+53.2+53.4+53.5+53.4+53.5+53.6+53.3)/10

            = 53.4

LCL = bar-x - 3(Range Mean/1.128)

       = 53.4 - 3(1.5/1.128)

       = 52.888

UCL = bar-x + 3(Range Mean/1.128)

       = 53.4 + 3(1.5/1.128)

       = 53.812

Therefore, the centreline bar-x, the upper control limit (UCL), and the lower control limit (LCL) needed to construct a control chart for the process mean are bar-x =53.4, UCL=53.8120, and LCL=52.8880.

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Answer:

48c-8c is the answer to the question above

In a lumped parameter analysis, the temperature profile with time is typically represented by an exponential curve, option a

1. Lumped parameter analysis: This analysis assumes that the system being studied can be represented by a single node or point with uniform properties. It simplifies the problem by neglecting spatial temperature variations within the system.

2. Temperature profile: The temperature profile refers to how the temperature changes within the system over time.

3. Exponential curve: In many cases, the temperature profile in a lumped parameter analysis follows an exponential curve. This curve represents an exponential decay or growth of temperature over time. The rate of change of temperature decreases exponentially as time progresses.

4. Reasoning: The exponential curve is commonly observed in situations involving heat transfer, such as the cooling or heating of objects. It occurs due to the exponential relationship between the temperature difference and the rate of heat transfer. As the temperature difference decreases, the rate of heat transfer decreases, resulting in a gradual approach to equilibrium.

Therefore, the correct answer is (a) Exponential.

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The value of the probability is 0.822

In a standard deck, we have

P(Heart) = 1/4

This can be represented as

p = 1/4 and q = 3/4

The probability of getting the first heart in exactly k draws is given by:

P(k) = (1/4) * (3/4)^(k-1)

The probability of getting the first heart in 6 attempts or fewer is:

The sum of the probabilities of getting the first heart on the first, second, third, fourth, fifth, or sixth draw:

So, we have

P = P(1) + P(2) + P(3) + P(4) + P(5) + P(6)

P = (1/4) + (3/4)(1/4) + (3/4)^2(1/4) + (3/4)^3*(1/4) + (3/4)^4*(1/4) + (3/4)^5*(1/4)

Evaluate

P = 0.822

Hence, the probability is 0.822

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The probability is \(\frac{11}{30}\) .

What is the probability?

 Probability is the ability to happen. The subject of this area of mathematics is the occurrence of random events. From 0 to 1 is used to express the value. To forecast how likely occurrences are to occur, Probability has been introduced in mathematics.

F= The probability that the dice land on different numbers.

F=(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5)

F = \(\frac{30}{36}= \frac{5}{6}\)

E= The event that at least one lands on 6.

E=(1,6),(2,6),(3,6),(4,6),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)

E= \(\frac{11}{36}\)

What is the probability of E, when given that F has occurred?

P= \(\frac{P(EF)}{P(F)}\) = \(\frac{1-P(EF)}{P(F)}\)

=> P = \(\frac{\frac{11}{36} }{\frac{5}{6} }\) = \(\frac{11}{30}\)

Hence the Probability is \(\frac{11}{30}\) .

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Owing 175 dollars is more than owing 150 dollars.

Thereby, the correct answer is A) -175 dollars

The cost of a utility for a pole with a diameter of 41 cm and a height of 780 cm is $3894697.41

The density formula is given by:

Density = mass/volume

The volume of the cylinder = π * radius² * height

Radius = diameter / 2 = 41/2 = 20.5, height = 780 cm. Hence:

Volume = π * 20.5² * 780 = 1029798 cm³

Density = mass/volume

6.1 = mass/1029798

mass = 6281770 kg

Cost = 6281770 kg * $0.62 per kilogram = $3894697.41

The cost of a utility for a pole with a diameter of 41 cm and a height of 780 cm is $3894697.41

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Answer:

what can i help u with

Step-by-step explanation:

No; the relation passes the vertical-line test. Yes; only one range value exists for each domain value

Yes; two domain values exist for range

yes; only one range value exists for each domain.

The 90% confidence interval for the proportion of district residents in favor of starting the school day 15 minutes later is (0.392, 0.548). The true proportion is estimated to lie within this interval with 90% confidence.

To calculate the 90% confidence interval for the true proportion of district residents who are in favor of starting the school day 15 minutes later, we can use the following formula:

CI = p ± z*(√(p*(1-p)/n))

where:

CI: confidence interval

p: proportion of residents in favor of starting the day later

z: z- score based on the confidence level (90% in this case)

n: sample size

First, we need to calculate the sample proportion:

p = 94/200 = 0.47

Next, we need to find the z- score corresponding to the 90% confidence level. Since we want a two-tailed test, we need to find the z- score that cuts off 5% of the area in each tail of the standard normal distribution. Using a z-table, we find that the z- score is 1.645.

Substituting the values into the formula, we get:

CI = 0.47 ± 1.645*(√(0.47*(1-0.47)/200))

Simplifying this expression gives:

CI = 0.47 ± 0.078

Therefore, the 90% confidence interval for the true proportion of district residents who are in favor of starting the school day 15 minutes later is (0.392, 0.548). We can be 90% confident that the true proportion lies within this interval.

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Answer: if u mean 3.05 x 10^6 then Hannah is correct.

Step-by-step explanation:

With scientific notations you should have one number on the left side of the decimal so 3.05 is correct and since you move the decimal to the right six times you would get 3.05 * 10^6

On solving the provided question, by properties of parallel lines we got to know that -  1 - A  2 - C  3 - B  4 - D

When two or more lines cross the intersection line, alternate exterior angles result. These angles are created on a number of sides outside the transverse lines. Any two parallel lines that cross one another create two angles with the horizontal line. In the area between the parallel lines, interior angles are formed, while alternate exterior angles are formed in the area outside the parallel lines.

Matches are -

1 - A

2 - C

3 - B

4 - D

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