a rectangle measuring 4m by 3m

Answer:

10 lbs.

Step-by-step explanation:

If its 2.5 pounds of flour for every .25 cup of sugar

do

1/(1/4)

to get 4 and then do

4 * 2.5

To find the value of the effective spring constant (k), we are given the masses of oxygen (16.0 atomic mass units) and carbon (12.0 atomic mass units). We will use this information to determine the value of k.

The effective spring constant (k) is a measure of the stiffness of the spring and is usually given in units of force per unit length or mass per unit time squared. In this case, we need to determine k based on the masses of oxygen and carbon.

To find k, we can use the formula for the effective spring constant in a molecular vibration system, which is given by:

K = (ω^2)(μ)

Where ω is the angular frequency of the vibration and μ is the reduced mass of the system.

Since we are given the masses of oxygen and carbon, we can calculate the reduced mass (μ) as follows:

Μ = (m1 * m2) / (m1 + m2)

Where m1 and m2 are the masses of oxygen and carbon, respectively.

Using the given masses:
M1 = 16.0 atomic mass units (oxygen)
M2 = 12.0 atomic mass units (carbon)

We can substitute these values into the equation for μ:

Μ = (16.0 * 12.0) / (16.0 + 12.0)
= 192.0 / 28.0
≈ 6.857 atomic mass units

Now, to find the value of k, we need the angular frequency (ω) of the vibration. Unfortunately, the angular frequency is not provided in the given information. Without the angular frequency, we cannot determine the exact value of k.

Therefore, we can calculate the reduced mass (μ) using the given masses of oxygen and carbon, but we cannot find the value of k without the angular frequency.

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The surface area of the solid formed by the triangular prism and cube will be 598.33 square inches.

A prism is a closed solid that has two parallel bases connected by a rectangle surface.

The height of a right triangular prism is 11/6 inches.

Each side of the triangular base measures 10 inches, and the height of the base is 26/3 inches.

The triangular prism is placed at top of a cube whose side measures 10 inches so that one of the triangular prism’s bases lies completely on one side of the cube.

Then the surface area of the prism will be

\(\rm Surface \ area = 5 \times (10 \times 10) + 0.5 \times 10 \times \dfrac{26}{3} + 3 \times 10 \times \dfrac{11}{6}\\\\\\Surface \ area = 598.33\ in^2\)

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The formula is weight of object = mass x gravity

if you punch the numbers in the formula correctly the mass in kg is 875.634 kg x 9.8 m/s =  8,581.2132

Step-by-step explanation:

Your question does not give what you need explanation on, but I will try to help to the best of my ability with information given.

Find all values of x:

4x^3 + 28x^2 + 40x

I am going to factor out the highest common number.

4(x^3 + 7x^2 + 10x) = 0

now I am going to factor out the highest common variable possible.

4x(x^2 + 7x + 10) = 0

now I am going to find what x is in the parentheses.

x^2 + 7x + 10 = 0

now what number times another equals 10? well that would 5*2 = 10 or 10*1 = 10

now out of these two sets of numbers which plus or minus itself will equal 7?

5+2 = 7

so therefore, are number are 5 and 2

now we will separate the equation to get:

(x+5)*(x+2)

now checking this we can see we get our equation again:

x*x + 5*x + 2*x + 5*2 => x^2 + 7x + 10

there for (x+5)*(x+2) is correct.

now lets solve for x:

x + 5 = 0

x = -5

x + 2 = 0

x = -2

4x = 0

x = 0/4

x = 0

Therefore, x equals:

x = -5, -2, 0

This is the answer.

I hope this helps! Like I said previously not all information was given, so I hope that this is the answer you were looking for.

Please leave a like!!!

Answer:

x(3 + 4)

4(3x + 1)

Step-by-step explanation:

3x + 4x

The common factor is x, so factor out the x.

3x + 4x = x(3 + 4)

12m + 4

The common factor is 4, so factor out the 4.

12m + 4 = 4(3x + 1)

Based on the provided question, it seems like you are asking about the most efficient evaluation method, either by hand or using a computer. To determine which method is the most suitable, you need to consider the complexity of the evaluation process and the number of alternatives.

Using a computer is generally faster and more accurate when dealing with large datasets or complex calculations. On the other hand, evaluating by hand may be more suitable for smaller datasets or simpler calculations. It can provide a more hands-on approach, allowing for a deeper understanding of the evaluation process. However, this method is generally more time-consuming and prone to human error.

To select the most appropriate evaluation method, consider the complexity of the task and the available resources. If the evaluation involves a large amount of data or complex calculations, using a computer would likely be the most efficient choice. However, if the task is relatively simple or involves a smaller dataset, evaluating by hand may suffice. In conclusion, the choice between evaluating by hand or using a computer depends on the complexity of the task and the available resources. Consider these factors to determine the most suitable method.

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The volume of the smaller figure is 990 in³.

The  volume of the smaller figure is calculated by applying similar figure theorem.

The surface area of the smaller figure is given as 522 in²

The surface area of the larger figure is given as 1450 in²

The volume of the larger figure is given as 2750 in³

The volume of the smaller figure is ?

The volume of the smaller figure is calculated as follows;

V/2750 = 522/1450

V = 2750 (522 / 1450 )

V = 990 in³

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Answer:

3 gallons of paint

Step-by-step explanation:

We know

1/3 gallon of paint is used to cover 1/9 of the fence. How much paint will cover the entire fence?

We take

1/3 x 9 = 9/3 = 3 gallons of paint

So, it takes 3 gallons of paint to cover the entire fence.

Answer:

y = -1

Explanation:

The slope-intercept form of the equation of a line has the form:

y = mx + b

Where m is the slope and b is the y-intercept.

The slope can be calculated as:

Where (x1, y1) and (x2, y2) are the coordinates of two points in the line.

So, replacing (x1, y1) by (1, -1) and (x2, y2) by (2, -1), we get:

On the other hand, the y-intercept is the point where the line crosses the y-axis. So, the y-intercept is -1.

Finally, the equation of the line in the slope-intercept form is:

y = 0x - 1

y = -1

So, the answer is y = -1

Answer:

x≥12, Michael must grow for 12 more months (a year) before he can ride a roller coaster.

Step-by-step explanation:

The inequality to represent how tall you must be to go on a roller coaster is

x≥48 because you must be a minimum of 48 inches tall, 'x' represents how tall you must be

If Michael is already 42 inches tall, that is his base point but you need to know how many more months he will need to grow for.

1/2x represents the amount of months Michael needs to grow, x is the unknown variable we need to solve for which represents the months he needs to grow, 1/2 is how many inches he grows in 1 month

42+1/2x≥ 48

subtract 42 from each side) 1/2x≥6

multiply both sides by 2) x≥12

The BMI of an 118-lb adult who is 5 feet 4 inches tall is approximately 20.25.

BMI stands for Body Mass Index.

It's a measure of body fat based on height and weight that applies to both adult men and women.

BMI is an easy-to-perform screening tool for body fat levels that can help identify individuals who have health risks linked with excess body fatness.

It's important to keep in mind that the BMI measurement should not be used as a diagnostic tool for health conditions and is only one component in an overall evaluation of a person's health status.

Using the formula below, we can calculate the BMI of an 118-lb adult who is 5 feet 4 inches tall: BMI = (weight in pounds / (height in inches x height in inches)) x 703

First, we need to convert the height into inches:5 feet 4 inches = 64 inches

Next, we plug the values into the formula and solve for the BMI:

BMI = (118 / (64 x 64)) x 703BMI = (118 / 4,096) x 703BMI = 0.0288 x 703BMI = 20.2464

Therefore, the BMI of an 118-lb adult who is 5 feet 4 inches tall is approximately 20.25.

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The boat is approximately 515 feet away from the lighthouse.

To find the distance from the boat to the lighthouse, we can use trigonometry. The angle of depression from the person to the boat is 28°, and the height of the lighthouse is 200 feet. Let's call the distance from the boat to the lighthouse x. Using the tangent function, we have

Solving for x, we have x = 200 / tan 28°. Approximating this value using a calculator, we have x ≈ 514.7 feet. Rounding to the nearest foot, the boat is approximately 515 feet away from the lighthouse.

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Answer:

x = 6√2

Step-by-step explanation:

This is a right triangle, specifically a 45-45-90 one.  Using the Pythagorean Theorem, we get x^2 + x^2 = (12 cm)^2, or:

2x^2 = 144 cm^2, or

x^2 = 72 cm^2.

This comes out to x = 6√2

For 10 days that bag will last when Mr. Eder's buys 6 pound bag of dog food, using kg to pound conversion and simple basic arithmetic operation.

How to convert kg to pound ?

We know that 1 Kg = 2.20 pound.

The dog is to eat 1/4 * 2.20 = 0.55 pound food

Weight of bag brought by him = 6 pound

The basic operations are :

Addition : (+) To get sum of two or more values

e.g. a = 3, b = 5

Addition = 3+5

              = 8

Subtraction : (-) The result of subtraction is the “difference”

e.g. Subtraction of a and b = a-b

                                             = 3-5

                                            = -2.

Multiplication : (*) The result of multiplication is the “product”

e.g. Multiplication of a and b = 3*4

                                                = 12

Division : (/) The result of division is the “quotient”

e.g. Division of 4 and 2 is = 4/2

                                           = 2.

so, the number of days bag can be used = 6/0.55

                                                                     = 10.90

So, the bag can be used for complete 10 days.

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To solve the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0, we can use algebraic methods and the unit circle to determine the values of x that satisfy the equation.

1. Start by rearranging the equation to a quadratic form: \(6sin^2(x)\) + 6sin(x) + 1 = 0.

2. Notice that the equation resembles a quadratic equation in terms of sin(x). Let's substitute sin(x) with a variable, such as u: \(6u^2\) + 6u + 1 = 0.

3. Solve this quadratic equation for u. You can use the quadratic formula or factorization methods to find the values of u. The solutions are u = (-3 ± √3) / 6.

4. Since sin(x) = u, substitute back the values of u into sin(x) to obtain the values for sin(x): sin(x) = (-3 ± √3) / 6.

5. To find the values of x, we can use the inverse sine function. Take the inverse sine of both sides: x = arcsin[(-3 ± √3) / 6].

6. The arcsin function has a range of [-π/2, π/2], so the values of x lie within that range. Use a calculator to find the approximate values of x based on the values obtained in step 5.

7. Plot the obtained x-values on the graph to show the solutions of the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0. The graph will illustrate the points where the curve intersects the x-axis.

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The number of times the hydrogen ion concentration of Aeen’s drink is the hydrogen ion concentration of Marien’s drink is 4 approx.

The phrase "times bigger" shows this:

If a number 'x' is 't' times bigger than 'y', then that means:

\(x = t \times y\)

It is because 'y' had to multiply itself with 't' to get in equal level of 'x'

A solution with 'x' as its pH contains \(10^{-x} mol/L\) of hydrogen ions.

For the considered case, we have:

Thus, its hydrogen ion concentration is \(10^{-2.7}\) = x (say)

Thus, its hydrogen ion concentration is \(10^{-3.3}\) = y (say)

Then, let x is t times bigger than y, then that means:

\(x = t\times y\\\\t = \dfrac{x}{y} = \dfrac{10^{-2.7}}{10^{-3.3}} = 10^{-2.7 - (-3.3)} = 10^{-0.6} \approx 4\)

It is because of the property \(a^b \times a^c = a^{b+c}\)

Thus, hydrogen ion concentration of Marien's drink is approx 4 times the hydrogen ion concentration of Aeen's drink.

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Answer:

A is right answer bro just see

Answer:

Can confirm, it’s a=16.23 and b=17.99

Answer:

Exact rule : 77

Approximate rule : 80

Step-by-step explanation:

Answer:

The outcome table was not given. But find below how to find the experimental probability

Step-by-step explanation:

Experimental Probability = number of times you rolled a three  /   the number of times you rolled the die itself.

Answer:

2

Step-by-step explanation:

We dont know how many spinner slots there are so I assume 8.

to get greater than 4 you need the cube which has 6 sides. Only 5 and 6 are > 4. So 2.

Sorry if this is incorrect...

Answer:

Isn't that 26?

Step-by-step explanation:

Um for work I normally do \(\frac{25}{100}\) times \(\frac{104}{100}\) and then yk simplify. when u multiply those too you get \(\frac{2600}{10000}\) which is 26 ( I think sorrry if I'm wrong)

Answer:

249.9

Step-by-step explanation:

Area of the shaded region is 223.72 square units.

Step-by-step explanation:

Area of the shaded region = Area of parallelogram - Area of triangle

Area of the parallelogram = base x height

= 23.8 x 15

= 357 square feet

Area of triangle = \frac{1}{2}

2

1

x base x height

Let the height of the triangle be represented by h, applying the Pythagoras theorem;

23.8^{2}23.8

2

= 21^{2}21

2

+ h^{2}h

2

566.44 = 441 + h^{2}h2

h^{2}h

2= 125.44

h = \sqrt{125.44}

125.44

= 11.2

h = 11.2

Area of the triangle = \frac{1}{2}

21 x 23.8 x 11.2 = 133.28

Area of shaded region = 357 - 133.28

= 223.72

Area of the shaded region is 223.72 square units.

Answer:

75%

Step-by-step explanation:

percentage = v1 divided by v2

\(p = \frac{120}{160} = 75\%\)

Answer:

.3973

Step-by-step explanation:10 to the power of 3 is 1000 so then all you have to do is divide 397.3/1000 and you get .3973 tbh you don't even need to divide just look at the power of 3 and the 3 is how many jumps you take backwards

Answer: 35

Step-by-step explanation: Here, we have the expression 4x - 5 and we want to evaluate the expression when x = 10.

To evaluate an expression, we simply plug the

value of the variable into the expression and solve.

So here, since x = 10, we have 4(10) - 5 or 40 - 5 which is 35.

So the value of our expression when x = 10 is 35.