1/12 divided by 3/4 help please

The solid has a 62.5 cubic unit volume. Finding the volume of a solid with a circular base of radius 5 units is the task at hand.

The following formula can be used to determine how much of the magical potion is left after a specific period of time:

Let h represent the solid's height. The volume can therefore be stated as follows:

V = (12.5 dh from 0 to h)

Combining, we obtain:

V = 12.5h

The height of the solid is equal to the radius of the circle, which is 5 units, because the slices are perpendicular to the base. Therefore:

V=12.5h=12.5(5)=62.50 cubic metres

Thus, the solid has a 62.5 cubic unit volume.

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Answer:

£45.84375

Step-by-step explanation:

To top up the tank he needs:

1200 - 450 = 750 liters

Since the price of oil is 81.5p per liter and he gets a 7.5% discount, the discount per liter is:

81.5 x 7.5/100 = 6.1125p

Since he needs 750 liters, the discount in total is:

6.1125 x 750 = 4584.375p

Since 1p = £0.01

The discount he gets in £ is:

4584.375 x 0.01 = £45.84375

Answer: 124950

Step-by-step explanation:

So, let’s look at this logically. For first place, you can any one of the 51 runners finish there. For 2nd place, you can have any one of the remaining 50 runners finish there. For 3rd place, you can have any one of the 49 runners who haven’t finished finish there. runners who haven’t finished finish doesn’t matter .So, you take all of the possibilities, and times them together, 51*50*40 different possibilities.Now, if you want a generic equation, you can run it through this equation, x being the number of possibilities, and n being the number of ones your choosing:

(51!)/(51-3)!

ANSWER

81 people

EXPLANATION

Let p be the number of people that attend the party.

Under plan A, the inn charges $30 for each person, so the value y of a party for p people is,

Then, under plan B, the cost is $1300 for a maximum of 25 people - this means that if 1 to 25 people attend the party, the cost is the same, $1300. For each person in excess of the first 25 - this means for 26, 27, 28, etc, the inn charges $20 each. The cost for plan B is,

The last part, (p - 25), is the part of the equation that separates the first 25 attendees. This equation works for 25 people or more, but it is okay to solve this problem. Note that for p = 25, the cost for plan A is,

Which is less than the cost of plan B ($1300).

We have to find for what number of people attending the party, the cost of plan B is less than the cost of plan A,

We have to solve this for p. First, apply the distributive property of multiplication over addition/subtract4ion to the 20,

Add like terms,

Now, subtract 20p from both sides,

And divide both sides by 10,

For 80 people, the costs of the plans are,

Both have the same cost. The solution to the inequation was the number of people, p, is more than 80. This means that for 81 people the cost of plan B should be less than the cost of plan A,

For 81 people, plan B costs $10 less than plan A.

Answer:

C.  \(f(x)=(x+1)^2-4\)

Step-by-step explanation:

A. the graph is a straight line with slope 1.  It goes up/down infinitely far so the range is all real numbers.  Not A!

B. The graph is a straight line with slope -4, so, like the function in A, the range is all real numbers.  Not B!

D. The graph is an absolute value function  y = |x|, reflected over the x-axis, shifted right 3 units, then shifted down 4 units.  So the graph starts witha "vee" shape opening up, becomes a vee opening down, then ultimately gets shifted down 4 units.  The range is all real numbers less than or equal to -4.

See the attached graphs.  image2 is the function in answer choice D.

1. The pack of items Nancy need to purchase is 28

2. The total of Nancy's items is $52.98

From the question, we have the following parameters that can be used in our computation:

Number of guests = 14

Hot dogs = 2

So, we have

Purchase = 14 * 2

Evaluate

Purchase = 28

Here, we have

She includes 2 chocolate cakes

So, we have

Total = 28 * 2/8 * 5 + 2 * 8.99

Evaluate

Total = 52.98

Hence, the total of Nancy's items is $52.98

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The probability that Sue will sit next to Bob is 96/24 = 4. So, the odds are 4:1.

We need to find out the odds that Sue will sit next to Bob. There is a round table with five different people. Therefore, the total number of ways that five different people can be seated at a round table is (5 - 1)! = 4!.

Thus, there are 24 ways that these five different people can be seated around the table. Now, let's say Sue and Bob are sitting next to each other. Thus, there are 4! = 24 ways in which they can be seated around the table. Now, Sue and Bob can be treated as a single unit since they are sitting together. So, there are a total of 48 + 48 = 96 possible ways that Sue will sit next to Bob in a 5 person round table. There are 24 possible ways that 5 people can be seated around the table.

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An estimator is unbiased ​ if the expected value of the estimator is exactly equal to the parameter that it is estimating. So, the answer is unbiased.

An estimator is said to be unbiased if, on average, it provides an estimate of a population parameter that is exactly equal to the true value of the parameter. if we were to take many samples from the same population and compute the estimator for each sample, the average of these estimators would converge to the true population parameter.

Unbiased estimators are considered to be desirable, as they provide an estimate that is not systematically too high or too low, and thus can be used to make accurate inferences about the population. However, some estimators may be biased, meaning that they tend to overestimate or underestimate the population parameter on average, and thus may not provide accurate estimates.

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it should be a closed circle and the arrow should be going to the left.

w < 4

The solution is :

B. The domain of F(x) is all real numbers.

E. It is increasing.

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

Given the function

f(x) = 2 • 5x

y intercept occurs at x = 0

f(0) = 2  • 5(0)

f(0) = 2 • 0

f(0)= 0

Hence the y intercept (0,0)

The domain are the input values x that makes the function exists. According to the function, the function f(x) will exist for al values of x hence the domain of F(x) is all real numbers.

If x = 0, f(x) = 0. This shows that the range of the values is y >0

The value of function f(x) also increases for increasing value of x, hence it is increasing.

Hence, The solution is :

B. The domain of F(x) is all real numbers.

E. It is increasing.

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Answer:

36/25

Step-by-step explanation:

7 multiplied by 3 multiplied by 2 whole over 7 multiplied by 5, the whole raised to the power of 2 multiplied by 7 to the power of 0 over 5 to the power of negative 3, whole to the power of 3 multiplied by 5 to the power of negative 9

((7 * 3 * 2)/(7 * 5))^2 * (7^0/5^-3)^3 * 5^-9 =

= (42/35)^2 * (1 * 5^3)^3 * 5^-9

= (6/5)^2 * 5^9* 5^-9

= 36/25 * 5^0

= 36/25

Answer:

24

Step-by-step explanation:

Use PEMDAS:

Parenthesis:

(27-19)=(8)

Then multiplication:

6+(2*3)+4+(8)

6+(6)+4+(8)

Then add everything:

24

Solution a needed 70 ounces and solution b needed 50 ounces

What does "1 ounce" mean?

One ounce weighs 437.5 grains or 28.349 grams and is a sixteenth of a pound (avoirdupois) of weight.

One ounce, abbreviated "oz," equals 480 grains, or 31.103 grams, and is one-twelfth of a Troy or Apothecaries' pound in weight. abbreviation for fluid ounce. a tiny amount or percentage.

So, let x=the of ounces of the 50% acid solution. The total volume after both are mixed is 100 ounces so the amount of the 20% solution will be 120-X. The equation will therefore be:

50% * x + 20% * (100-x) = 41% * 100

Dropping the ‘%’ we get

50x + 2000 - 20x = 4100

30x = 2100

x = 2100/30 = 70

Hence 70 ounces will be needed

Solution a = 70 ounces

Solution b = 50 ounces

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Answer:

its 10.08

Step-by-step explanation:

Answer:

Im really sorry if this is wrong, i'm just trying to help cause everyone is giving you fake answers

I think the answer may be 336/55

(Decimal: 6.10909)

Step-by-step explanation:

Answer:

It's simply just subtract the these two numbers

451,202

- 239,021

= 212,181

Hope u doubt is cleared

Yes, there is sufficient evidence at the 0.02 level that the valve does not perform to the specifications.

Null hypothesis: The valve produces a mean pressure of 4.8 lbs/square inch.

Alternative hypothesis: The valve does not produce a mean pressure of 4.8 lbs/square inch.

To test this hypothesis, we can use a one-sample t-test. Using the given information, we can calculate the test statistic:

t = (4.9 - 4.8) / (0.6 / sqrt(100)) = 1.67

Using a t-distribution table with 99 degrees of freedom and a significance level of 0.02, we find the critical value to be ±2.602. Since the absolute value of the test statistic (1.67) is less than the critical value (2.602), we fail to reject the null hypothesis. Therefore, we do not have sufficient evidence to conclude that the valve does not perform to the specifications.

In other words, based on the given sample of 100 engines, we cannot conclude that the valve is not producing the desired mean pressure of 4.8 lbs/square inch. However, it's important to note that this conclusion is based on a specific sample and may not generalize to all situations. It's always important to consider the limitations and assumptions of statistical tests.

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It appears that the system dynamics can be manipulated through the control input u to minimize the time required for convergence to the origin (0,0).

Here, we have,

given that,

min t_i

x₁ = x₂-u

x₂ = u

-1 ≤ u ≤ 1, (x₁, x₂) are arbitrary starting point.

and origin  (0,0) be the begging of the coordinate.

also given that, (x₁, x₂)→ (0,0)

so, min t_i at origin (0,0) = t

Therefore, the generality condition of the situation does not met.

so, we get,

The given system can be represented by the following equations:

x₁' = x₂ - u

x₂' = u

To analyze the behavior of the system, we can examine the dynamics of each variable separately.

For x₁:

x₁' = x₂ - u

The equation implies that the rate of change of x₁ is dependent on x₂ and the input u. The term (-u) acts as a control input that can affect the dynamics of x₁. If we choose an appropriate control input u, we can manipulate the rate of change of x₁ and potentially minimize the time required to reach the origin.

For x₂:

x₂' = u

The equation for x₂ indicates that the rate of change of x₂ is solely determined by the input u. The variable x₂ can be directly controlled by the input u, allowing us to influence its behavior and potentially expedite convergence.

Based on the given equations, it appears that the system dynamics can be manipulated through the control input u to minimize the time required for convergence to the origin (0,0).

By carefully selecting the control input, it is possible to achieve the shortest time to reach the origin from any arbitrary starting point (x₁, x₂).

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The appropriate marginal tax rates for each individual based on their taxable income are: Teacher - 12%, Pediatrician - 35%, Mathematician - 24%, Registered Nurse - 22%.

1: Using the single taxable income tax brackets for 2018, select the appropriate marginal tax rate for each individual. Select the correct rates in the table. Individual Taxable Income Marginal Tax Rate Teacher $40,259 12% Pediatrician $194,680 35% Mathematician $93,810 24% Registered Nurse $55,350 22%

2: Tax Bracket 10% 12% 22% 24% 32% 35% 37% The given table shows the marginal tax rates for single taxable income tax brackets in the year 2018. The marginal tax rate refers to the tax rate that applies to the next additional dollar of income. It is essential to know the marginal tax rate for the calculation of the tax bill. Now, we have to select the appropriate marginal tax rate for each individual.

Teacher -Taxable Income = $40,259. The appropriate marginal tax rate for the teacher is 12%. The income of the teacher falls in the taxable income bracket of $38,701 to $82,500, and the marginal tax rate is 12%.

Pediatrician - Taxable Income = $194,680. The appropriate marginal tax rate for the pediatrician is 35%. The income of the pediatrician falls in the taxable income bracket of $157,501 to $200,000, and the marginal tax rate is 35%.

Mathematician - Taxable Income = $93,810. The appropriate marginal tax rate for the mathematician is 24%. The income of the mathematician falls in the taxable income bracket of $82,501 to $157,500, and the marginal tax rate is 24%.

Registered Nurse - Taxable Income = $55,350. The appropriate marginal tax rate for the registered nurse is 22%. The income of the registered nurse falls in the taxable income bracket of $38,701 to $82,500, and the marginal tax rate is 22%.

Thus, the appropriate marginal tax rate for each individual is as follows: Individual Taxable Income Marginal Tax Rate Teacher $40,259 12% Pediatrician $194,680 35% Mathematician $93,810 24% Registered Nurse $55,350 22%In summary, the marginal tax rate refers to the tax rate that applies to the next additional dollar of income. It is essential to know the marginal tax rate for the calculation of the tax bill. The appropriate marginal tax rate for each individual depends on their taxable income and taxable income bracket. The given table shows the marginal tax rates for single taxable income tax brackets in the year 2018.

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Answer:

A

Step-by-step explanation:

You multiply 8 and 25

Answer:

153.86 is your answer:)

Answer:

254.34

Step-by-step explanation:

3.14 x (9x9) = 254.34

The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.

A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:

United States Budget:

Korean Budget:

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The 9th percentile of the bill amounts is 81.0634.

Population mean, µ = 110.56

Population standard deviation, σ = 22

a) p = 0.09

Z score at p = 0.09 using excel = NORM.S.INV(0.09) = -1.3408

Value of X = µ + z*σ = 110.56 + (-1.3408)*22 = 81.0634

9th percentile = 81.0634

b) p = 0.66

Z score at p = 0.66 using excel = NORM.S.INV(0.66) = 0.4125

Value of X = µ + z*σ = 110.56 + (0.4125)*22 = 119.6342

66th percentile = 119.6342

c) Median = 0.50

Z score at p = 0.5 using excel = NORM.S.INV(0.5) = 0

Value of X = µ + z*σ = 110.56 + (0)*22 = 110.56

Median = 110.56

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The  polynomial Y⁴+ 4y²+ 5 does not have zeroes.

Polynomials are an essential component of the "language" of mathematics and algebra. They are used to express numbers as a result of mathematical operations in nearly every field of mathematics. Polynomials can also be used as "building blocks" in other kinds of mathematical expressions, such as rational expressions.

Polynomials can be used to represent a wide range of everyday mathematical processes. A polynomial can be formed by adding the costs of items on a grocery bill. A polynomial can be used to calculate the distance travelled by a vehicle or object. Polynomials can be used to calculate the perimeter, area, and volume of geometric figures. These are just a few of the many uses for polynomials.

We know that,   (a +b)² = a² + b² + 2ab

Here given that,

⇒ y⁴ + 4y² + 5 = 0

⇒ y⁴ + 4y² + 4 + 1 = 0

⇒ (y² + 2)² + 1 = 0

Because the first term is a square, the expression (y² + 2)² + 1  will never be zero for any value of y.

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Obtuse equilateral, because an obtuse triangle needs one angle that is greater than 90 degrees, but in an equilateral triangle all the angles are 60 degrees because all the sides are equal.

If all sides are equal, then all their non-touching angles are equal.

Hope this helps!

Answer: 0.90 g/cm3

Step-by-step explanation:

Their ratio is given by the mass density of ice: M/V = Rhoi ~ 0.90 g/cm3 (iceberg ice is more dense than normal ice since it has been compressed by thousands of years of pressure - normal ice is 0.917 g/cm3).

Answer:

Basal melting of floating ice shelves and iceberg calving constitute the two ... of the Southern Ocean free of large icebergs are largely populated by small iceberg  the hidden part, which is the most important in terms of effort and often the most  So this work explores use of NISAR to map surface structures visible on ice

Step-by-step explanation:

Answer:

100 points

Step-by-step explanation:

As it is mentioned that she has scored 54 points already and each coin has 23 points.

54+23+23 =100

SORRY IF WRONG

The range of the parabola will be y ≥ 6.

Given is that a graph of a parabola opens up and the minimum point is located at (-3, 6).

Therefore, the range of the parabola will be y ≥ 6.

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Answer:

-9

Step-by-step Explanation