List 5 rational number between -4/7 and -3/8

pls answer

the best estimate of the half-life, combining the two results, is approximately 13.7421 days with an uncertainty of approximately 1.3772 days.

To determine the best estimate of the half-life by combining the two results, we can use the weighted average method. The weights assigned to each measurement are inversely proportional to the squares of their uncertainties. Here's how to calculate the combined result:

Step 1: Calculate the weights for each measurement.

  w1 = 1/σ1^2

  w2 = 1/σ2^2

  Where σ1 and σ2 are the uncertainties associated with each measurement.

Step 2: Calculate the weighted values.

  w1 * t1 = w1 * (15.5 days)

  w2 * t2 = w2 * (16.2 days)

Step 3: Calculate the sum of the weights.

  W = w1 + w2

Step 4: Calculate the weighted average.

  T = (w1 * t1 + w2 * t2) / W

Step 5: Calculate the combined uncertainty.

  σ = √(1 / W)

The best estimate of the half-life is given by the value of T, and the combined uncertainty is given by the value of σ.

Let's calculate the best estimate using the given values:

For the first measurement:

σ1 = 2.3 days

For the second measurement:

σ2 = 1.5 days

Step 1:

w1 = 1/σ1^2 = 1/(2.3^2) ≈ 0.1949

w2 = 1/σ2^2 = 1/(1.5^2) ≈ 0.4444

Step 2:

w1 * t1 ≈ 0.1949 * 15.5 ≈ 3.0195

w2 * t2 ≈ 0.4444 * 16.2 ≈ 7.1993

Step 3:

W = w1 + w2 ≈ 0.1949 + 0.4444 ≈ 0.6393

Step 4:

T = (w1 * t1 + w2 * t2) / W ≈ (3.0195 + 7.1993) / 0.6393 ≈ 13.7421 days

Step 5:

σ = √(1 / W) ≈ √(1 / 0.6393) ≈ 1.3772 days

Therefore, the best estimate of the half-life, combining the two results, is approximately 13.7421 days with an uncertainty of approximately 1.3772 days.

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Hint: The sum of the interior angles of a triangle is 180 degrees.

(The general formula (n-2)*180.) Do the calculations to find the missing angle of triangle.

Answer:

518

Step-by-step explanation:

P = 2

Q = 8

p3 + 64q

Multiply "p" (which is 2) with 3

Multiply "q" (which is 8) with 8

Add the two numbers you get

And you have you answer

I hope this helps. :)

2(x + 3) = 2x + 6

1. Correct - 2 * (x + 3) = 2x + 6

2. Correct - (x + 3)2 = 2x + 6

3. Correct - 2x + 6

4. Incorrect - 2x + 3

5. Incorrect - 2x + 3

6. Incorrect - 3x + 6

Hope this helps!

The amount of work done and power output would decrease if the person lost weight, due to the decreased force applied and energy expended.

Yes, the amount of work done or power would change if the person lost weight. The amount of work done is dependent on the amount of force applied and the distance over which it is applied. Therefore, if the person lost weight, they would be able to apply less force over a given distance. This would result in a decrease in the amount of work done, as well as a decrease in the power output. Furthermore, the decrease in weight would also reduce the amount of energy required to move the body, leading to a decrease in the amount of energy expended. Therefore, the decrease in weight would result in a decrease in both the amount of work done and power output.

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The only set of values that could be the side lengths of a 30-60-90 triangle is A.

In a 30-60-90 triangle, the ratio of the side lengths is 1 : √3 : 2. Therefore, the side lengths must be in the ratio of 1:√3:2. Let's check each set of values:

A. (6,6√3, 12)

If we divide each side length by 6, we get (1, √3, 2), which is in the correct ratio. Therefore, set A could be the side lengths of a 30-60-90 triangle.

B. (6,6√2,12)

If we divide each side length by 6, we get (1, √2, 2), which is not in the correct ratio. Therefore, set B cannot be the side lengths of a 30-60-90 triangle.

C. (6, 12, 123)

If we divide each side length by 6, we get (1, 2, 123/6), which is not in the correct ratio. Therefore, set C cannot be the side lengths of a 30-60-90 triangle.

D. (6, 12, 12√2)

If we divide each side length by 6, we get (1, 2, √2), which is not in the correct ratio. Therefore, set D cannot be the side lengths of a 30-60-90 triangle.

Therefore, the only set of values that could be the side lengths of a 30-60-90 triangle is A.

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The Volume of the irregular figure is 672cm²

To find the volume of the irregular figure, we first divide the figure into 2 similar figures that is 2 rectangular figures and find their respective volume.

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The volume of the irregular figure is 672  \(cm^{3}\).

An irregular figure is a given shape which is formed by more than a figure. It can be referred to as a composite figure.

The volume of an irregular figure can be obtain by determining the volume of each figure that forms a part, then adding these volumes together.

In the given figure,

volume of a cuboid = length * width*height

Volume of shape 1 = length * width*height

                               = 10*7*9

                               = 630 \(cm^{3}\)

volume of shape 2 = length * width*height

                             = 7*3*2

                             = 42 \(cm^{3}\)

Volume of the irregular figure = 630 + 42

                                               = 672  \(cm^{3}\)

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Answer:

the answer is either B or C but I think it's C

Answer:

\(c = kw\)

Step-by-step explanation:

Given

c varies directly as w

Required

Write the equation

c varies directly as w.

Mathematically, this is represented as:

\(c\ \alpha\ w\)

Convert to equation.

\(c = kw\)

Where k is the constant of variation

Answer: The length AC equals 10.25 cm (approximately)

Step-by-step explanation: Please refer to the diagram attached for further details.

The triangle has been constructed according to the dimensions provided with the top B going down to the "little square inside the triangle" which is C. This clearly identifies it as a right angled triangle. The point B meets with point C at the right angle and A is the sharp tip of the triangle, which makes point A the third angle. Hence we now have a right angled triangle with side AB measuring 11 cm, side BC measuring 4 cm and side AC is unknown.

We can now apply the Pythagoras' theorem which is stated as follows;

AC² = BC² + AB²

Where AC is the hypotenuse (longest side) and BC and AB are the other two sides. We can now substitute for the appropriate sides in this question as all the sides have been labelled differently. Hence,

BA² = BC² + CA²

11² = 4² + CA²

121 = 16 + CA²

Subtract 16 from both sides of the equation

105 = CA²

Add the square root sign to both sides of the equation

√105 = √CA²

10.2469 = CA

CA ≈ 10.25 cm

The third side AC (or CA) measures approximately 10.25 cm

Answer:

Step-by-step explanation:

You basicly want to use A=pe^rt to find the amount of money you now have. A is the total amount of money you have after a certian period of time (T) while your money grows at a steady rate (R). (E) is an irrational number 2.71828. (P) is the amount of money you started with. Your precentage is your rate and this means you earn 9% of what you have per year. The way the problem would be set up A=1500(2.71828)^(.09)(2). This problem allows for exponential growth to occur because your two variables are time and the amount you have in that time.

Answer:

equation;

\((x + 4) {}^{2} + (y - 2) {}^{2} = 27\)

Center (-4,2)

Radius is

\(3 \sqrt{3} \)

Step-by-step explanation:

Since the x^2 and y^2 have the same coeffiecent this will be a circle in a form of

\((x - h) {}^{2} + (y - k) {}^{2} = {r}^{2} \)

Where (h,k) is center

r is the radius

So first we group like Terms together

\( {x}^{2} + 8x + {y}^{2} - 4y - 7 = 0\)

Add 7 to both sides

\( {x}^{2} + 8x + {y}^{2} - 4y = 7\)

\(( {x}^{2} + 8x) +( {y}^{2} - 4y) = 7\)

Since the orginal form of the equation of the circle has a perfect square we need to complete the square for each problem

\( (\frac{8}{2} ) {}^{2} = 16\)

and

\(( - \frac{4}{2} ) {}^{2} = 4\)

so we have

\( {x}^{2} + 8x + 16 + {y}^{2} - 4y + 4y = 7 + 16 + 4\)

\( {x}^{2} + 8x + 16 + {y}^{2} - 4y + 4y = 27\)

\((x + 4) {}^{2} + (y - 2) {}^{2} = 27\)

To find our center, h is -4 and k is 2

so the center is (-4,2)

The radius is

\( \sqrt{27} = 3 \sqrt{3} \)

So the radius is 3 times sqr root of 3.

Answer:

D. Every rational number is also an integer

Step-by-step explanation:

Some rational numbers are integers, but not all of them

To find the percentage by which 20 is greater than 15, we can use the formula: Percentage Increase = ((New Value - Original Value) / Original Value) × 100.In this case, the new value is 20 and the original value is 15.So, 100 is 9.09% less than 110..

1) Percentage Increase = ((20 - 15) / 15) × 100.Percentage Increase = (5 / 15) × 100.Percentage Increase = 33.33%
So, 20 is 33.33% greater than 15.
2) To find the percentage by which 100 is less than 110, we can use the formula: Percentage Decrease = ((Original Value - New Value) / Original Value) × 100.In this case, the new value is 100 and the original value is 110.

Percentage Decrease = ((110 - 100) / 110) × 100
Percentage Decrease = (10 / 110) × 100
Percentage Decrease = 9.09%

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Answer:

6

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

The answer choice that is the most appropriate is B. A one-sample z-interval for estimating a population proportion

This is the most appropriate method because you are trying to estimate the proportion of all registered voters who have a favorable impression of Candidate A based on the sample data.

A one-sample z-interval is used when you want to estimate a population proportion using a sample proportion.

To calculate the one-sample z-interval for estimating a population proportion, you can use the following formula:

Confidence Interval = p ± Z * sqrt((p * (1 - p)) / n)

where:

Using this method, you will calculate a confidence interval that estimates the true proportion of registered voters who have a favorable impression of Candidate A, based on the sample data.

This is the most appropriate method because it focuses on estimating a single population proportion and incorporates the sample data and sample size into the calculation.

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Answer:

Yes

Step-by-step explanation:

2B+B=3b and 3b and 3b are the same.

Thus, they have the same value

A standard bowling lane is approximately 60 feet long from the foul line to the head pin.

The metric system uses the terms kilometres (km), metres (m), decimeters (dm), centimetres (cm), and millimetres (mm) to describe length or distance.

A standard bowling lane is designed to be 60 feet in length from the foul line to the head pin. This distance is consistent across most bowling alleys and is a key measurement in the sport of bowling.

The 60-foot length is divided into specific sections that contribute to the overall structure of the lane. These sections include the approach area, the foul line, the lane itself, and the pin deck where the pins are set.

The approach area is the section where the bowler stands and prepares to release the ball. It usually spans around 15 feet, providing enough space for the bowler to take a few steps and build momentum before releasing the ball.

The foul line marks the boundary between the approach area and the actual lane. It is important for bowlers to release the ball before crossing the foul line; otherwise, it is considered a foul, and the resulting throw does not count towards the score.

Beyond the foul line is the lane, which is where the ball rolls towards the pins. The lane is typically around 41 to 42 inches wide, made of a specially coated wooden or synthetic surface that allows the ball to roll smoothly.

At the end of the lane is the pin deck, where the pins are arranged in a triangular pattern. The head pin, also known as the 1-pin, is positioned at the front of the triangle. When the ball reaches this area, it interacts with the pins, causing them to scatter or fall, resulting in a score.

Overall, the 60-foot length of a standard bowling lane provides enough distance for bowlers to exhibit skill and strategy in their throws while ensuring a fair and consistent playing field.

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Answer:

Any radical in the form can be written using a fractional exponent in the form . The relationship between and works for rational exponents that have a numerator of 1 as well. For example, the radical can also be written as , since any number remains the same value if it is raised to the first power.

Step-by-step explanation:

Answer:

D, probably

Step-by-step explanation:

If we expect the pie chart to be angle-accurate, then Salary should be 90% of the full pie, so 90% of 360°

90% * 360° = 0.9 * 360° = 324°

Answer:

81x - 45

Step-by-step explanation:

Use the distributive property

(9x - 5)(9)

= (9x)(9) - (5)(9)

= 81x - 45

Answer:

1.5f + 10 = 28.5

Step-by-step explanation:

Answer:

12 i think

Step-by-step explanation:

28.50-10.50=18

18 divided by 1.50= 12

Answer:

Kiki has 10 candy bars and plans to give 1/4 of a candy bar to each classmate. This means she will be able to give a piece of candy to 10 * 4 = 40 classmates.

Step-by-step explanation:

The value of the numerical expression 12 × [6.3 + 3 × (1.9)] will be 144.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The numerical expression is given below.

⇒ 12 × [6.3 + 3 × (1.9)]

Simplify the numerical expression, then we have

⇒ 12 × [6.3 + 3 × (1.9)]

⇒ 12 × [6.3 + 5.7]

⇒ 12 × 12

⇒ 144

The value of the numerical expression 12 × [6.3 + 3 × (1.9)] will be 144.

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Answer:

For a volume of 60 ounces, the appropriate price is $16

Step-by-step explanation:

Firstly, we need to determine the relationship between volume of popcorn and the price of bag.

Let us try and see if there is a linear relationship

A linear model is of the form ;

y = mx + b

where m is the slope and b is the y intercept

While the price represents the y axis values, the volume represents the x axis values

For the slope;

m = (y2-y1)/(x2-x1)

m = (13.6-11)/(48-35) = 2.6/13 = 0.2

So we have the slope value as 0.2

the equation is;

y = 0.2x + b

to get b, substitute any value of (x,y)

6 = 0.2(10) + b

6 = 2 + b

b = 6-2 = 4

If we had substituted (20,8)

8 = 0.2(20) + b

8 = 4 + b

b = 4

if (48,13.6)

13.6 = 48(0.2) + b

13.6 = 9.6 + b

b = 13.6-9.6

b = 4

Hence we have established linear relationship between the volume in ounces and the price in $

So we have this as

Price = 0.2(volume) + 4

So for volume of 60 ounces;

Price = 0.2(60) + 4

price = 12 + 4

price = $16

The reason why this is appropriate is because it follows the rule of the established linear relationship

Answer:

$16

Step-by-step explanation: