convert 45grade into degree measure
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If a hospital medical unit has 50 beds and the unit provided 1,420 days of service, the average daily census for the medical unit in May is 28.4.

To find the average daily census for a medical unit in May, we divide the total number of days of service provided by the number of beds in the unit. Here's how we do it:

According to the question, Total number of beds = 50 and Total number of days of service = 1,420

Average daily census = Total number of days of service / Total number of beds

Average daily census = 1,420/50

Average daily census = 28.4

Therefore, the average daily census for the medical unit in May is 28.4.

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To estimate the number of rubber balls in the whole basket, we can multiply this proportion by the total number of balls. Therefore, We can estimate that there are about 21 rubber balls in the basket.

An average proportion is the sum of a set of proportions divided by the number of proportions.

It represents the average or typical value of the proportions in the set, and can be used to estimate the overall proportion or percentage of a larger population.

To estimate how many of the balls in the basket are rubber, we can use the proportion of rubber balls that were drawn in each class to find the average proportion of rubber balls across all four classes.

We can then use this average proportion to estimate the number of rubber balls in the whole basket.

The total number of balls drawn from the basket is:

(2 + 8) + (4 + 6) + 2 x (3 + 7) = 40

The total number of rubber balls drawn is:

2 + 4 + 2 x 3 = 12

The proportion of rubber balls drawn in each class is:

Class 1: 2/10 = 0.2

Class 2: 4/10 = 0.4

Class 3: 3/10 = 0.3

Class 4: 3/10 = 0.3

The average proportion of rubber balls across all four classes is:

(0.2 + 0.4 + 0.3 + 0.3) / 4 = 0.3

Therefore, we can estimate that approximately 30% of the balls in the basket are rubber. To estimate the number of rubber balls in the whole basket, we can multiply this proportion by the total number of balls:

Number of rubber balls = 0.3 x 70 = 21.

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The inverse Fourier transform of F₂(jw) is given by f₂(t) = δ(t - 1/4) + δ(t + 1/4).

(a) To find the inverse Fourier transform of F₁(jw) = 1/(3+w) + 1/(4-jw), we can use the linearity property of the Fourier transform.

The inverse Fourier transform of F₁(jw) can be calculated by taking the inverse Fourier transforms of each term separately.

Let's denote the inverse Fourier transform of F₁(jw) as f₁(t).

Inverse Fourier transform of 1/(3+w):

Using the table of Fourier transforms,

F⁻¹{1/(3+w)} = e^(-3t) u(t)

Inverse Fourier transform of 1/(4-jw):

Using the table of Fourier transforms, we have:

F⁻¹{1/(4-jw)} = e^(4t) u(-t)

Now, applying the linearity property of the inverse Fourier transform, we get:

f₁(t) = F⁻¹{F₁(jw)}

      = F⁻¹{1/(3+w)} + F⁻¹{1/(4-jw)}

      = e^(-3t) u(t) + e^(4t) u(-t)

Therefore, the inverse Fourier transform of F₁(jw) is given by f₁(t) = e^(-3t) u(t) + e^(4t) u(-t).

(b) To find the inverse Fourier transform of F₂(jw) = cos(4w + π/3), we can use the table of Fourier transforms and properties of the Fourier transform.

Using the table of Fourier transforms, we know that the inverse Fourier transform of cos(aw) is given by δ(t - 1/a) + δ(t + 1/a).

In this case, a = 4, so we have:

F⁻¹{cos(4w + π/3)} = δ(t - 1/4) + δ(t + 1/4)

Therefore, the inverse Fourier transform of F₂(jw) is given by f₂(t) = δ(t - 1/4) + δ(t + 1/4).

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Using the Pythagorean theorem, the length of the water slide is approximately 24.7 meters.

What is the Pythagorean theorem?

The Pythagorean theorem is a fundamental idea in geometry that asserts that the square of the length of the hypotenuse (the side opposite the right angle) in a right triangle= the sum of the squares of the other two sides. In equation form, it is as follows:

a² + b² = c²

Now,

Using the Pythagorean theorem, we can find the length of the water slide as follows:

Length of the slide = √(23² + 9²) meters

Length of the slide = √(529 + 81) meters

Length of the slide = √610 meters

Length of the slide ≈ 24.7 meters (rounded to the nearest tenth)

Therefore, the length of the water slide is approximately 24.7 meters.

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The scatterplot shows a positive, nonlinear relationship.

What is scatter plot used for?

To illustrate how much one variable affects another, scatter plots are used to exhibit data points on a horizontal and vertical axis.

                             A marker is used to represent each row in the data table, and the position of the marker depends on the values of the columns that are set up on the X and Y axes.

The scatterplot shows a positive, nonlinear relationship.

The strength of a linear link between two numerical variables is evaluated using correlation. Correlation measures the magnitude of a linear relationship.

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The Laplace domain equation X(s) is found to be X(s) = (s + 2)/(s^2 + 5s + 6). The time domain equation x(t) can be obtained by applying the inverse Laplace transform to X(s), resulting in x(t) = e^(-t) - e^(-2t).

Given the Laplace domain equation X(s), we need to substitute the given parameters and find its expression in terms of s. The equation provided is X(s) = (s + 2)/(s^2 + 5s + 6).

To obtain the time domain equation x(t), we need to apply the inverse Laplace transform to X(s). The inverse Laplace transform of X(s) will give us x(t) in terms of t.

Applying the inverse Laplace transform to X(s) involves finding the inverse transform of each term separately. The inverse Laplace transform of (s + 2) is simply 1, representing the unit step function. The inverse Laplace transform of (s^2 + 5s + 6) is e^(-t) - e^(-2t), which can be obtained through partial fraction decomposition.

Therefore, the time domain equation x(t) is given by x(t) = e^(-t) - e^(-2t), where t represents time.

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Answer:

9.25

Step-by-step explanation:

Add up all of the numbers and then divide that answer by how many numbers you added up

Answer:

Mean = 9.25

Step-by-step explanation:

Mean = (sum of numbers)/( how many numbers)

There are 4 numbers: 4, 8, 12, 13

Mean = (4 + 8 + 12 + 13)/4

Mean = 37/4

Mean = 9.25

Answer:

24 79/200

Step-by-step explanation:

Answer:

y = -2/3x + 4

Step-by-step explanation:

In an equation that represents a line, the number with which no variable is multiplied is the y-intercept.

The number with which "x" is multiplied is the slope.

So in this case, the slope is -2/3; so the equation should be like -2/3x.

The y-intercept is 4, so it is the number with which no variable is multiplied.

So the equation is:

=> y = -2/3x + 4

Answer:

54.4009853

Step-by-step explanation:

Simplify each term.  

2 + 5 +47.53 − 237 /1837

Find the common denominator.

2 ⋅ 1837 /1837 + 5 ⋅ 1837 /1837 + 47.53 ⋅ 1837/1837 − 237 /1837

Combine fractions.

3674 + 9185 + 87312.61 − 237 /1837

Simplify the numerator.

99934.61 /1837

Divide  99934.61  by  1837 .

=54.4009853

Answer:

C

Step-by-step explanation:

I took the test

Answer:

8 lol

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

15 +8=23

Answer:

20 students

Step-by-step explanation:

looking at the venn diagram above you calculate all the numbers in the French circle which total to 20.

The surface area of a sphere with a radius of 4.18 meters is approximately 219.57 square meters. The area of a right triangle with side lengths of 8.55 meters and 2.13 meters is approximately 9.10 square meters.

To find the surface area of a sphere, we use the formula: A = 4πr^2, where A represents the surface area and r is the radius of the sphere. Substituting the given radius of 4.18 meters into the formula, we get A = 4π(4.18)^2. Evaluating this expression, we find that the surface area of the sphere is approximately 219.57 square meters.  

For the right triangle, we can use the formula for the area of a triangle, which is A = (1/2)bh, where A represents the area, b is the base, and h is the height of the triangle. In this case, the base is 8.55 meters and the height is 2.13 meters. Substituting these values into the formula, we have A = (1/2)(8.55)(2.13), which simplifies to A ≈ 9.10 square meters. Therefore, the area of the right triangle is approximately 9.10 square meters.

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Answer:

150 inches

Step-by-step explanation:

Using 3 for pie, PIE x D= C

3 x 25= 75

for two roatations you multiply 75 times 2 and you get...

150

The equation of each line given the y-intercept and x-intercept

5 and -4 is 4y- 20 = 5x.

The line has an x-intercept at x = -4 and y intercept at y = 5 this means that the line passes through the points(,0) and(,5).

Now we find the pitch m of the line passing through the points(,0) and(,5)(x-intercept).

The pitch of the line is

m = y2- y1/ x2- x1

= 5- 0/ 0-(- 4)

= 5/ 4

Point- pitch Formula y = m(x-x1)

where m is the pitch and( x, y) is the given point.

Now substituting the values

y- 0 = (5/4)( x-(- 4))

y = (5/4)( x 4)

4y- 20 = 5x

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The complete question :

Find the equation of the line that has an y intercept and x-intercept at

5 and -4.

​

The estimated proportion raise in salary for an employee using the given fraction is equal to $1,250.

The fraction of $36,000 which is $45,000 is

= $45,000 / $36,000

= 1.25

It represents  $45,000 is 1.25 times more than $36,000.

Estimate the raise is,

Use proportion and calculate percentage increase in salary,

(Proportion of raise) = (Proportion of salary increase)

Let x be the raise for an employee making $45,000

$x / $1,000 = $45,000 / $36,000

Simplify it to get the value of x we have,

⇒x = (1.25) × $1,000

⇒x = $1,250

Therefore, the raise for an employee estimated salary using ratio and proportion is equal to $1,250.

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Answer:

The answer is 17.

Step-by-step explanation:

\(12+\frac{k}{8}\) when k=40

\(12+\frac{40}{8}\)

12 + 5

17

Hope that helps and please give me brainliest!!

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32/48

2/3

<3

Answer:

A. 2/3

Step-by-step explanation:

32 = 2 x 16

48 = 3 x 16

32 / 48

= ( 2 x 16 ) / ( 3 x 16 )

= 2 / 3

The odds against the next car leaving the lot being black = option(A) is correct option.

The odds against getting three tails when you flip three coins = option(B) is the correct option.

What is probability?

The potential of any random event's result is referred to as probability. To determine the likelihood that any event will occur is the definition of this phrase.

There 34 cars out of which 20 are green, 8 are gold and 6 are black.

So, The odds against the next car leaving the lot being black

    = no. of black cars / no. of non black cars

    = 6/28

    =3/14 (A)

If three coins are flipped together,

the total number of outcomes will be = 2³ = 8

no. of outcomes getting three tails = 1

The odds against getting three tails when you flip three coins

= no. of outcomes getting three tails/ no. of outcomes not getting three tails

= 1/7 (option B)

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The series ∑[n=1 to ∞] (5 * 6ⁿ)/(7ⁿ) is convergent.

What is convergent series ?

A convergent series is a series in mathematics where the sum of its terms approaches a finite value as the number of terms increases towards infinity. In other words, a convergent series has a well-defined sum.

To determine the convergence or divergence of the series, we can analyze the behavior of the terms as n approaches infinity.

Let's look at the general term of the series, (5 * 6ⁿ)/(7ⁿ). As n increases, the denominator 7ⁿ grows much faster than the numerator 5 * 6ⁿ. This is because the base of the exponent, 7, is greater than both 5 and 6.

As a result, the general term approaches zero as n goes to infinity, indicating that the terms of the series are getting smaller and smaller.

By applying the ratio test, we can further confirm the convergence of the series. Taking the ratio of consecutive terms:

[(5 * 6(n+1))/(7(n+1))] / [(5 * 6ⁿ)/(7ⁿ)] = (6/7)

Since the ratio (6/7) is less than 1, the series converges.

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The selection depends on individual needs, preferences, and the intended use of the tiny house.

a) To find the amount of space inside each house, we need to calculate the volume for each design.

House on the left:

Volume = length x width x height = 2.5 m x 18 m x 2.8 m = 126 m³

Triangular house:

Volume of a triangular prism = (base area x height) / 2

Base area = (1/2) x base x height = (1/2) x 4 m x 10 m = 20 m²

Volume = (20 m² x 7 m) / 2 = 70 m³

b) When comparing the environmental impacts of each house, several factors need to be considered:

Positive impacts:

1. Material usage: Tiny houses use fewer materials, reducing resource consumption and waste generation.

2. Energy efficiency: Smaller living spaces require less energy for heating, cooling, and lighting, leading to lower energy consumption.

3. Land utilization: Tiny houses can be built on smaller plots of land, preserving green spaces and reducing urban sprawl.

Negative impacts:

1. Construction materials: Although tiny houses use less material overall, the environmental impact depends on the types of materials used. Sustainable and eco-friendly materials should be prioritized.

2. Water and waste management: Adequate provisions for water supply and waste disposal should be implemented to minimize environmental impacts.

3. Transportation: The transportation of tiny houses to their locations can contribute to carbon emissions if not done efficiently.

c) The choice of design for a tiny house depends on personal preferences and priorities. However, considering the provided information:

The house on the left offers a larger interior space of 126 m³, providing more room for living and storage. It may be suitable for individuals or couples who desire more space and functionality within their tiny house.

The triangular house has a smaller interior volume of 70 m³ but offers a unique design and aesthetic appeal. It may be preferred by individuals who prioritize a distinctive architectural style or who are looking for a minimalist and cozy living space.

Ultimately, the selection depends on individual needs, preferences, and the intended use of the tiny house. Factors such as lifestyle, desired amenities, and personal values regarding sustainability and resource conservation should be considered when making the final decision.

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Answer:

x = 6

Step-by-step explanation:

Use the exterior angle theorem, which states that the 2 opposite interior angles add up to the measure of the exterior angle.

Set up an equation:

(8x - 13) + (9x - 10) = 11x + 13

Add like terms and solve for x:

17x - 23 = 11x + 13

6x - 23 = 13

6x = 36

x = 6

So, x = 6

Answer:

6

Step-by-step explanation:

Answer:

I think its C. because slope is the rate of change and that graph has a decreasing slope. C makes sense to me but not 100% sure.

Answer:

The answerer to this question is a 34

Step-by-step explanation:

Answer:

A. 34

Step-by-step explanation:

Responder:

750 + 0,025X

Explicação passo a passo:

Dado que :

Rendimento Fixo = R $ 750

Ganho variável = 2,5% das vendas totais

Se vendas totais em um mês = x

O valor total ganho = custo fixo + variável

Custo variável = 2,5% * x = 0,025X

Custo total: 750 + 0,025X

The inequality represented by the line is X  ≥ -5.

An  inequality compares any two values and shows that one value is less than, greater than, or equal to the value on the other side of the equation.

In mathematics, an inequality is described as a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Inequality is used most often to compare two numbers on the number line by their size.

It is important top note that a  solution for an inequality in x is a number such that when we substitute that number for x we have a true statement.

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I would say -2

Step-by-step explanation: