is 0.14 rational and irrational

Answer:

172cm²

Step-by-step explanation:

1/2 × 10 × 12= 60cm² [area of triangle]

3 × 13 26cm² [area of rectangle on the side]

2(60) + 2(26) = 172cm²

Answer:

D

Step-by-step explanation:

it states that the snikholes are from underneath when the soil it lose

To fidn the surface area of the grain tank you need to find the area of:

Cylinder (without one of the bases as there are just one base exposed), use the next formula:

You have for the given cylinder:

h=12ft

r: as the diameter is 8.4ft the radius is 8.4tf/2=4.2ft

Cone (without the base as the base is not exposed), use the next formula:

You have for the given cone:

r= 4.2ft

s= 5.5ft

The entire exposed surface of the tank is:

let's move like the crab, backwards.

B)

profit is simply the surplus amount or 3.75 - 2.50 = 1.25.

A)

since the item was bought for $2.50, that's our origin amount, and thus that's our 100%, what's 1.25 off of it in percentage?

\(\begin{array}{ccll} Amount&\%\\ \cline{1-2} 2.50 & 100\\ 1.25& x \end{array} \implies \cfrac{2.50}{1.25}~~=~~\cfrac{100}{x} \\\\\\ 2.5x=125\implies x=\cfrac{125}{2.5}\implies x=50\)

The light must be installed 4 feet away from the west wall using slope-intercept form.

Assume the distance between you and the west wall is x. Let

y be equal to the ceiling height of this distance from the west wall.

y equals 8 when x equals 0 and when y equals 10 when x equals 3.

Equation across the slope of a straight line: y = mx + b.

m - slope, b - intersection with the y-axis.

Divide the change in y by the corresponding change in x to get m.

As a result, m equals (10.5-8) ÷ (3-0) = 2.5 ÷ 3 = 0.83

When x equals 0, b is the value of y.

As a result, b equals 8.

The equation of the line expressing the ceiling height is y = 2.5 ÷ 3 × x + 8.

when x = 0, y = 8

when x = 3

y = 2.5 ÷ 3 × 3 + 8

= 2.5 + 8

= 10.5

The equation accurately models the tilt of the ceiling as it runs from west to east.

The maximum height is 12 feet.

y = 2.5 ÷ 3 × x + 8

12 = 2.5 ÷ 3 × x + 8

take 8 off both sides,

4 = 2.5 ÷ 3 × x

(4 × 3) ÷ 2.5 = x

x = 4.8

The ceiling is 12 feet high, and the distance between the west wall and the ceiling is 4.8 feet.

That's the furthest you can reach from the west wall, given the maximum height of 12 feet.

x is obtained by dividing both sides by 2.5

= 10 ÷ 2.5

= 4 feet

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The question is -

A cathedral ceiling is 8 feet high at the west wall of a room. As you go from the west wall toward the east wall, the ceiling slants upward. Three feet from the west wall, the ceiling is 10.5 feet high.

You want to install a light in the ceiling as far away from the west wall as possible. You intend to change the bulb, when required, by standing near the top of your small stepladder. If you stand on the highest safe step of your stepladder, you can reach 12 feet high. How far from the west wall should you install the light?

Intervention is most likely to be included in the secondary and tertiary levels of prevention.

In the context of public health and healthcare, prevention is typically categorized into three levels: primary, secondary, and tertiary.

The primary level of prevention focuses on preventing the onset of diseases or health conditions before they occur. This is achieved through measures such as promoting healthy lifestyles, providing vaccinations, and implementing public health education campaigns. Intervention is less common at this level, as the main goal is to prevent the occurrence of the health issue in the first place.

The secondary level of prevention involves early detection and intervention to prevent the progression of a disease or health condition. This may include screenings, diagnostic tests, and prompt treatment. Intervention plays a crucial role at this level, as the focus is on identifying and addressing health issues at an early stage to minimize their impact.

The tertiary level of prevention aims to minimize the impact of an existing disease or health condition and prevent complications or further deterioration. Intervention is also prominent at this level, as it involves providing medical treatments, rehabilitation services, and ongoing care to manage the condition and improve quality of life.

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The distance from (x, y) to (1, -3) is at least 13.

To prove that the distance from (x, y) to (1, -3) is at least 13, we will use the distance formula between two points in a coordinate plane. Let's denote the distance as d.

The distance formula between two points (x1, y1) and (x2, y2) is given by:

d = √[(x2 - x1)^2 + (y2 - y1)^2]

In this case, we have the points (x, y) and (1, -3), so we can substitute the coordinates into the distance formula:

d = √[(1 - x)^2 + (-3 - y)^2]

Now, we need to prove that the distance is at least 13.

Given the conditions x ≤ -11 and y ≥ 2, we can make some observations:

If x ≤ -11, then (1 - x) ≥ 12, since subtracting a negative number gives a positive value.

If y ≥ 2, then (-3 - y) ≤ -5, since subtracting a positive number gives a negative value.

Substituting these observations into the distance formula:

d = √[(1 - x)^2 + (-3 - y)^2]

≥ √[12^2 + (-5)^2]

= √[144 + 25]

= √169

= 13

Therefore, we have shown that the distance from (x, y) to (1, -3) is at least 13.

The proof demonstrates that for any real numbers x and y satisfying x ≤ -11 and y ≥ 2, the distance from the point (x, y) to the point (1, -3) is at least 13.

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Answer:

-(cos α)/(sin α)

= -cot α

Step-by-step explanation:

use trigonometric identities

Answer:

Vertex: (-2, 0)

Axis of symmetry: x = -2

Direction of opening: Upwards

Min: 0

Y-intercept: 4

Step-by-step explanation:

    Let us graph this line, and then pull out the details we need. See attached.

    What do all of these different things mean?

Vertex: This is where the graph intercepts the axis of symmetry (x = -2, see below) and is at point (-2, 0) for this graph.

Axis of Symmetry: This is the line that the graph is symmetrical across. The "center" of the graph. Here, it is x = -2.

Direction of Opening: The direction that the graph is going/opening towards. In this case, it is upwards.

Min: The minimum (in this case) value, the lowest y-coordinate. This is 0 here.

Y-intercept: The point at which the line intercepts the y-axis. This is 4 here.

Answer:

\($\frac{5\sqrt{2} }{2}$\)

Step-by-step explanation:

\(x: \text{opposite side of the angle of 45\º}\)

\(5: \text{hypotenuse of the right triangle}\)

\($\sin(\theta)=\frac{\text{opp}}{\text{hyp}} \Rightarrow \sin(45\º)=\frac{x}{5} $\)

\($\text{Once }\sin(45\º)=\frac{\sqrt{2} }{2} $\)

\($\frac{\sqrt{2} }{2} =\frac{x}{5} \Rightarrow 2x=5\sqrt{2} \Rightarrow x=\frac{5\sqrt{2} }{2} $\)

You can just remember that 5 is the diagonal of a square of side length x.

\($5=x\sqrt{2} \Rightarrow x=\frac{5}{\sqrt{2} } \Rightarrow x=\frac{5}{\sqrt{2} } \cdot \frac{\sqrt{2} }{\sqrt{2} } = \frac{5\sqrt{2} }{2} $\)

Answer:

The maximum profit is $854

Step-by-step explanation:

Profit is the difference between the revenue and the cost price of an item. It is given by:

Profit = selling price - cost price

Since x represent the profit made by the company, is related to the selling price of each widget, x and it is given by the formula:

y = -3x² + 155x - 1148

At maximum profit, dy/dx = 0, hence:

dy/dx = -6x + 155

0 = -6x + 155

6x = 155

x = 25.83

The maximum profit is at gotten when the selling price of each widget is 25.83. Hence:

y = -3(25.83)² - 155(25.83) - 1148

y = $854

Therefore the maximum profit is $854

The required value of x is 5.101.

The given equation: \((2+x)^{4}\)= 2543

Hence, ((2+x)²)²=2543

Square-rooting both sides, we get

⇒(2+x)²=√2543=50.428

Again, square-rooting both sides we get

⇒(2+x)=√50.428=7.101

⇒x= 7.101-2 = 5.101

Hence we are given the required solution.

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The value of x is approximately 3.516 (rounded to 3 decimal places).

To solve the equation \((2+x)^4\) = 2,543, we need to find the value of x.

We can solve this equation by taking the fourth root on both sides.

Taking the fourth root of both sides:

(2+x) = \((2,543)^(1/4)\)

Calculating the fourth root of 2,543:

\((2,543)^(1/4)\) ≈ 5.516

Therefore, we have:

2+x = 5.516

Subtracting 2 from both sides:

x = 5.516 - 2

x ≈ 3.516

The value of x is approximately 3.516 (rounded to 3 decimal places).

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Answer:

Step-by-step explanation:

\(\sqrt[5]{(3y)^{4}} = [(3y)^{4}]^{\frac{1}{5}}=(3y)^{4*\frac{1}{5}}=(3y)^{\frac{4}{5}}\)

Answer:

44/51

Step-by-step explanation:

1 5/6 ÷ 2 1/8

Change to improper fractions

1 5/6 = (6*1+5)/6 = 11/6

2 1/8 = (8*2 +1) /8 = 17/8

11/6 ÷17/8

Copy dot flip

11/6 * 8/17

11/17 * 8/6

11/17 *4/3

44/51

The required diagram could be used to represent the context if x represents how much each bottle of juice cost is D. Option D is correct.

Given that,
She bought a bag of popcorn for $3.39 and a 4-pack of juice bottles. The total cost before tax was $7.43.
To determine the diagram could be used to represent the context if x represents how much each bottle of juice costs.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
Let the cost of each juice bottle be x.
Now,
accoding to the question,
4x = 7.43 - 3.39

Thus, the required diagram could be used to represent the context if x represents how much each bottle of juice cost is D. Option D is correct.

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Christa sliced the pyramid perpendicular to its base through one edge. The Option A .

A cross section means the view that shows what the inside of something looks like after a cut has been made across it. To determine how Christa sliced the cross section, let's consider the properties of a rectangular pyramid.

The rectangular pyramid has a rectangular base and triangular faces that converge at a single point called the apex. Since Christa sliced the pyramid through one edge perpendicular to its base, the resulting cross section would have the same shape as the base which is a rectangle.

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Answer: the answer is d

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

125 questions

Answer:

125 questions

Step-by-step explanation:

The event for which the probability can be calculated from the two events given is event B.

Given that:

Mean = 2.5 children per family

Standard deviation = 1.3 children per family

Here, for event B, the sample size is going to take 40.

So, the distribution can be formulated to be approximately normal distribution since the sample size is 40 which is greater than 30.

So, the mean is the same which is 2.5.

The standard deviation can be calculated as 1.3/√40.

So, event B can be calculated for the probability.

Hence the event is event B.

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The complete question is given below:

The distribution of the number of children per family in the United States is strongly skewed right with a mean of 2.5 children per family and a standard deviation of 1.3 children per family.

Event A: Randomly selecting a family from the United States that has 3 or more children.

Event B: Randomly selecting 40 families from the United States and finding an average of 3 or more children.

The probability of one of the two events can be calculated even though the distribution of the population is strongly skewed right. For which event can the probability be calculated?

The iterated integral in polar coordinates will be:

∬R fdA = ∫c^d ∫a^b f(r,θ) r dr dθ.

Since the problem does not provide a specific description or image of the region R, I am unable to determine the values of a, b, c, and d. However, I can explain the general process of setting up an iterated integral in polar coordinates.

In polar coordinates, the differential area element is given by dA = r dr dθ, where r represents the radial distance and θ represents the angle.

To write the double integral in polar coordinates, you need to determine the limits of integration for r and θ.

The integral limits for r will depend on the boundaries of the region R in the radial direction. These limits can be expressed as a ≤ r ≤ b.

The integral limits for θ will depend on the boundaries of the region R in the angular direction. These limits can be expressed as c ≤ θ ≤ d.

Please provide a more specific description or image of the region R in order to determine the values of a, b, c, and d, as well as the differential element dA.

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For the region R below, write ∬R​fdA as an iterated integral in polar coordinates. With a= ___ , b=___, c=______ and d= ______. ∬R​fdA=∫ab​∫cd​fdA, where dA= ____ d___ d____

Answer:

2 u ^3+ 6 u ^2 + 9 u + 10

Step-by-step explanation:

Step-by-step explanation:

since DE is parallel to the diameter RS, D and E are just a transformation of R and S, where R and S slid up the same distance on the circle arc.

therefore, RD = SE.

and therefore d is half of the supplementary angle to the angle DE (that means together the angle DE and the supplementary angle are 180°).

so,

d = (180 - 50)/2 = 130/2 = 65°

The total mass of the chain is approximately 76.82 kg

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a² + b² = c².

We can use the Pythagorean theorem to solve this problem. According to the diagram, we have:

n² = 36² + 23²

n² = 1296 + 529

n² = 1825

n = √(1825) ≈ 42.68

So the length of the chain is approximately 42.7 meters (rounded to 1 decimal place).

To find the total mass of the chain, we can multiply the length by the mass per meter:

mass = 42.68 x 1.8 ≈ 76.82

Therefore, the total mass of the chain is approximately 76.82 kg (rounded to the nearest kilogram).

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Answer:

Silicone types in common use in the industry include:

High Modulus.

Low modulus.

Neutral cure.

Acetoxy cure.

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The increase in the given number by 5/8 and again increase in the number by 5/8 will be equal to 5.28.

In mathematics, a fraction is represented by a specific number that designates a portion of an entire. A fraction is a piece or section of a whole, whereby a can have been any number, a particular value, or an object.

As per the instructions given in the question,

The given number is 2.

Firstly, increase the number by 5/8.

So,

5/8 × 2 = 1.25

Then, the increase in the number will be: 2 + 1.25 = 3.25

Now, again, increase the number by 5/8.

So,

3.25 × 5/8 = 2.03

Then, the final number achieved is: 3.25 + 2.03 = 5.28

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Answer: Rate of change is the slope of the line between these points. which is the change is rise(y) over the change in run(x). here it it is (13-11)/(6-2), 2/4=1/2

Answer:

x=26.8

Step-by-step explanation:

Dispersion is a measure of how spread out a set of data values is. For the given data, I'll calculate three common measures of dispersion: range, variance, and standard deviation.

Sorted data: 0, 0, 1, 1, 3, 5, 6, 6, 7, 8, 9, 10, 11, 12, 12, 12, 12, 13, 14, 14, 15, 17, 18, 19, 20

1. Range: The range is the difference between the highest and lowest values in the dataset. In this case, the range is 20 (highest value) - 0 (lowest value) = 20.

2. Variance: Variance is the average of the squared differences between each data point and the mean of the dataset. First, calculate the mean (sum of values / number of values) which is 233/25 = 9.32. Next, find the squared differences between each data point and the mean, and then average these squared differences. The variance for this dataset is approximately 34.93.

3. Standard Deviation: The standard deviation is the square root of the variance. In this case, the standard deviation is approximately √34.93 ≈ 5.91.

In summary, the range for the given data is 20, the variance is approximately 34.93, and the standard deviation is approximately 5.91. These measures of dispersion provide insights into the variability of the data.

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Answer:

26 for live bait

Step-by-step explanation:

12 times 3

63-26=37 =how much money he has left