Help please thank you.

Answer:

Step-by-step explanation:

Area of a circle = πr², plug in r= 3, we get:

                      A = π(3)²

                      A = 9π  or 28.26 in³(if the π is calulate as 3.14)

The expression that can be used to show how many coins Nick has is:3c - 4.

Expressions are mathematical phrases that can contain variables, constants, and operators. They can be used to represent a wide range of mathematical relationships and calculations.

Given by the question.

Let's start by defining a variable to represent the number of coins Josh has. We can call this variable "c", as given in the problem statement.

Then, we are told that Nick has 4 fewer than 3 times as many coins as Josh. This can be written as: 3c - 4.

This expression represents the number of coins Nick has. We arrived at this expression by first multiplying the number of coins Josh has by 3 (since Nick has three times as many coins as Josh), and then subtracting 4 (since Nick has 4 fewer coins than 3 times the number of coins Josh has).

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Answer: E

Step-by-step explanation:

The solution means the intersection point, so in this case, it's (3, 2). The intersection point represents a value that is true for both equations, which is why it's considered the solution.

Answer:

7.5km/h

Step-by-step explanation:

Given data

Distance= 15km

Time = 2 hours

We know that the expression for the speed is

Speed= distance/time

Substitute

Speed= 15/2

Speed= 7.5 km per hour

Hence the speed is 7.5km/h

The evaluation of the expression gives -295/24. The correct option is the fourth option-   negative 295 over 24 (-295/24)

From the question, we are to evaluate the given expression

The given expression is,

7 3/8 × -1 2/3

To solve the expression, we will covert the fractions from mixed to improper fractions

7 3/8 × -1 2/3

59/8 × - 5/3

Multiplying, we get

-295/24

Hence, the evaluation of the expression gives -295/24. The correct option is the fourth option-   negative 295 over 24 (-295/24)

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The polynomial function is h(x)=\(\sqrt[3]{64x^{3} +27x^{6} }\). The degree of the polynomial is 6 and the leading coefficient is 27.

Given that,

The polynomial function is h(x)=\(\sqrt[3]{64x^{3} +27x^{6} }\)

We have to analyze the function to see if it is a polynomial function. State the degree and leading coefficient if the function is a polynomial.

The sum of one or more terms, each of which is either a number or a number multiplied by the independent variable and raised to a positive integer exponent, is known as a polynomial function.

The exponent of the variable, or zero if there is no variable, determines a term's degree.

The biggest term degree is the polynomial of the Function.

The Distributive Property is used to join terms having the same Degree.

Usually, terms are presented in order of decreasing Degree.

An nth degree polynomial function of x is often stated as follows:

F(x) = aₙxⁿ + aₙ₋₁xⁿ⁻¹ + aₙ₋₂xⁿ⁻² +... + a₁x + a₀

So,

h(x)=\(\sqrt[3]{64x^{3} +27x^{6} }\)

Therefore, the degree of the polynomial is 6 and the leading coefficient is 27.

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Answer:

24

Step-by-step explanation:

The numerators are being multiplied by -2

The area of the entire rectangle is 4x² + 12x + 8

The given parameters are:

height = 4

Width = x² + 3x + 2

The area of the rectangle is:

Area = Width * Height

So, we have:

Area = (x² + 3x + 2) * 4

Expand

Area = 4x² + 12x + 8

Hence, the area of the entire rectangle is 4x² + 12x + 8

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Answer:

Step-by-step explanation:

4th

Answer:

the slope is 2 and a=8 b=6

Step-by-step explanation:

first, we find the percentage of the commission earned:

$278,000 ----> 100%

$16,680 ------> x

then solve

therefore the commission is 6%. So,

$324,000 ------> 100%

y -------------------> 6%

answer: $ 19,440

Answer:

X= 3/2

Step-by-step explanation:

hope this helps

Option (D), the last option is the correct statement, If heights in inches of 200 graduating seniors were summarized in the frequency table;

The median height is greater than or equal to 60 inches but less than 66 inches.

The median is the number value that separates the lower and upper values to halves. The median height is determined by arranging all the given heights in order either from the smallest to highest or from highest to smallest without skipping any measurement of the heights.

After arranging all the heights in order, the median height is usually at the middle.

The reason as to why the median height is greater than or equal to 60 inches but less than 66 inches is because the middle height should not be same as the largest height of 66 inches. It is possible to have multiple 60 inch heights from the 200 seniors. It is also possible to have multiple 66 inch of heights from the 200 seniors.

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True. Body weight is an example of a discrete variable. A discrete variable is a variable that can only take on certain values.

It can only be counted, not measured. Body weight, for example, can be expressed as an integer value such as 150 pounds or 68 kilograms, but not as a fractional value such as 150.3 pounds or 68.1 kilograms. In other words, the number of possible values for body weight is finite and can be listed out, which makes it a discrete variable.

On the other hand, continuous variables can take on an uncountable number of possible values, such as height or temperature, which can be expressed to an arbitrary degree of precision.

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Answer:

4x=-12

Step-by-step explanation:

Let a number = X

So

The product of four and a number is negative twelve

4x=-12

The probability of drawing c first and d last is 1/12.

From the factorial formula,

n! = n(n - 1)(n - 2) ....... 3*2*1

There are four slips of paper labeled a, b, c, and d.

So total number of slip of paper is = 4.

The number of ways this 4 slips pf paper that are a, b, c, and d can be choose = 4! = 4 * 3 * 2 * 1 = 24.

If the first drawing is ' c ' and last drawing is ' d ', then the rest two cards in = 2! = 2 ways.

So the probability of drawing c first and d last is = 2/24 = 1/12.

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The total cost of materials and labor for the office space, considering a tile unit cost of P300 and labor cost equal to the materials cost, amounts to P63,000.

To calculate the total cost of materials and labor, we first need to determine the cost of the tiles. Given that the unit cost of a certain tile is P300, we can multiply this by the area of the office space to find the total cost of the tiles. The office space has an area of 63 sqm, so the total cost of the tiles is P300 * 63 = P18,900.

Next, we need to calculate the labor cost, which is 100% of the materials cost. Since the materials cost is P18,900, the labor cost will be equal to P18,900. Therefore, the total cost of labor is also P18,900.

To find the total cost of materials and labor, we add the cost of the tiles (P18,900) and the labor cost (P18,900): P18,900 + P18,900 = P37,800.

Therefore, the total cost of materials and labor for the office space is P37,800.

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The correct option is B) Not valid. Consider the statement “Since some shoes are sneakers, some non-sneakers are non-shoes.”

We know that all sneakers are shoes, but all shoes are not sneakers.  Hence, some shoes are sneakers. But, this statement does not imply that “some non-sneakers are non-shoes.” This inference cannot be drawn by contraposition. So, it is not valid.Inferences cannot be drawn in contraposition all the time. Contraposition is a type of logical statement that involves reversing and negating the terms of an original proposition. It is a logical relationship between a proposition and its converse. If a proposition is true, the contrapositive is always true.An example of contraposition can be shown as follows:“If a person is a human, then they are mortal.”We can write the contrapositive of this statement as:“If a person is not mortal, then they are not human.”

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Answer:

See Explanation

Step-by-step explanation:

If a Function is differentiable at a point c, it is also continuous at that point.

but be careful, to not assume that the inverse statement is true if a fuction is Continuous it doest not mean it is necessarily differentiable, it must satisfy the two conditions.

                                          And

If function is differentiable at a point x, then function must also be continuous at x. but The converse does not hold, a continuous function need not be differentiable.

In a contingency table, we describe the relationship between two variables measured at the ordinal or nominal level (option a).

A contingency table is a statistical table that displays the frequency distribution of two categorical variables and helps identify any associations or dependencies between them. The table organizes the data into rows and columns, with each cell representing the frequency count or proportion of observations falling into a particular combination of categories.

By examining the distribution of frequencies across the table, patterns and relationships between the variables can be discerned. This information can be useful in various fields, such as social sciences, market research, and epidemiology, for analyzing survey responses, understanding consumer preferences, or investigating the relationship between risk factors and diseases, among other applications.

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The polygon will have 9 sides.

The required polygon is a nonagon.

A polygon is named on the basis of the number of sides it has, as a polygon having 5 sides is a pentagon, a polygon having 6 sides is a hexagon, a polygon having 7 sides is a heptagon, and so on., and the addition of their interior angles is (n - 2) 180°.

To identify the polygon, we need to know the number of sides of the polygon. We know that the sum of internal angles of an n - sided polygon is

(n - 2) 180°.

For the given polygon, the internal angles added up to 1260 degree. Equate  (n - 2) 180° to 1260 degree and solve the resulting equation for n.

(n - 2) 180° = 1260°

n - 2 =  1260°/ 180°

n - 2 = 7

n = 7 + 2

n = 9

The given polygon will have 9 sides.

=> The required polygon is a nonagon.

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Answer:

44 I think

Step-by-step explanation:

i don't know I'm not too sure

Answer:

12x + 8) /4

=[12 (2) + 8 ]/4

=[ 24 + 8 ]/4

=32/4

=8

Step-by-step explanation:

\

(12x+8)4

=(12x2 +8)4

=(24+8)4

=(32)4

=128

Answer:  4 2/3 lbs of cheese (or 14/3 lbs of cheese)

Step-by-step explanation:

1 pizza (P) requires 1/3 lb of Cheese (C):

1P = (1/3)C

14 Pizzas:  14P

Total Cheese = 14P or 14((1/3)C)

= 14/3 C

Anna needs 4 2/3 lbs of cheese

Answer:

x= 8/11and y=41/11

Step-by-step explanation:

Given the equation of the revenue R:

We know that by charging x dollars for a certain computer, the owner can sell 40-x computers each week. Then, if x is the charge for a certain computer, the revenue is given by the product of the number of computers he sells and the charge of that computer.

The equation of the revenue received when the selling price of a computer is $x. To find the maximum revenue, we find the vertex form of the quadratic equation of the revenue. By completing squares:

Then, the maximum revenue is the y-coordinate of the vertex, that is:

Answer:11/57

Step-by-step explanation:

The area of the composite figure is 89.065 ft^2

We can divide the figure into 3 simpler ones, these are:

A rectangle of 5ft by 2 ft

A rectangle of 8ft by 9 ft

A fourth of a circle of radius R = 3ft

Remember that the area of a circle of radius R is:

A = 3.14*R^2

Then the area of the fourth a circle of radius R = 3ft is:

a = (1/4)*3.14*(3ft)^2 = 7.065 ft^2

And the areas of the rectangles are equal to the product between the dimensions, so the areas are:

a' = 5ft*2ft = 10ft^2

a'' = 8ft*9ft = 72 ft^2

The total area is the sum of these:

7.065 ft^2 + 10ft^2 +72ft^2 = 89.065 ft^2

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The Cobb-Douglas utility function satisfies the properties of local non-satiation, decreasing marginal utility for both goods, quasi-concavity, and homotheticity.

The Cobb-Douglas utility function u(x1, x2) = xi^(α) * x2^(β), where α and β are both greater than zero, satisfies the following properties:

(a) Local non-satiation:

This property states that at each point of the consumption set, there is always another bundle that is arbitrarily close and strictly preferred. Thus, the function has local non-satiation.

(b) Decreasing marginal utility for both goods 1 and 2: The marginal utility of a good measures the utility obtained by consuming one more unit of it. The marginal utility of x1 can be obtained as:

MU1 = α * xi^(α−1) * x2^(β)

The marginal utility of x2 can be obtained as:

MU2 = β * xi^(α) * x2^(β−1)

Therefore, both marginal utilities are decreasing in x1 and x2, satisfying this property.

(c) Quasi-concavity:

The Cobb-Douglas function is quasi-concave. This means that the upper contour set of any level set of the function is convex. This can be proved by taking the second partial derivative of the function and checking whether it is negative or not.

(d) Homotheticity:

The Cobb-Douglas function is homothetic. This means that its shape is independent of the total level of utility. The proof can be achieved by checking whether the function is homogeneous of degree one or not. This is true, since multiplying the inputs by any positive scalar λ leads to a proportional increase in the output.

In conclusion, the Cobb-Douglas utility function satisfies all four properties - local non-satiation, decreasing marginal utility for both goods 1 and 2, quasi-concavity, and homotheticity.

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