x³y³
O trinomial
O monomial
Obinomial

Answer:

A) $12.80 per pound of chocolate

Step-by-step explanation:

As, 2 1/2 pounds = 5/2 = 2.5

So for 2.5 pounds = $32

For 1 pound = 32/2.5 = 12.80

So, = 12.80

Answer:

b. <

Step-by-step explanation:

2,369 is less than 25,500

23x103=2369

250x102=25500

Answer:

The answer is 3 . Hope you like answer.

Answer:

=-x-3

Step-by-step explanation:

-(x+3)  Distribute Partenthesis

-x-3

Answer:

The rate of change is also called the slope.  The slope is -2

Step-by-step explanation:

Find 2 points on the line.  I am going to use the points (0,5) and (4, -3).  the rate is the change in y over the change in x.  From the two points, my values are -3 and 5.  The x values are 4 and 0.

To find the change, I subtract the y values and the x values.

\(\frac{-3-5}{4-0}\) = \(\frac{-8}{4}\) = -2

Answer: -2

Step-by-step explanation: The rate of change is also known as the slope!

To find the slope, you need to find the rise/run.

Let's pick two points ( 0,5) ( 4, -3)

You see that the y goes down by 8 and the x goes right by 4, so the rate of change is -8/4 = -2

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The length of side b is 56m, angle A is 45°, and angle C is 67°.

In the given triangle with side lengths a = 74m, b ≈ 56m, and c = 36m, the length of side b is approximately 56m.

To solve the triangle, we can use the Law of Cosines and the fact that the sum of angles in a triangle is 180 degrees. Given angle B = 67°51', we have:

Using the Law of Cosines, we have:

b² = a² + c² - 2ac * cos(B)

Substituting the known values:

b² = 74² + 36² - 2 * 74 * 36 * cos(67°51')

Calculating the value of b:

b ≈ √(74² + 36² - 2 * 74 * 36 * cos(67°51'))

b ≈ 55.92m (rounded to the nearest whole number, b ≈ 56m)

Using the Law of Cosines again, we have:

cos(A) = (b² + c² - a²) / (2 * b * c)

Substituting the known values:

cos(A) = (56² + 36² - 74²) / (2 * 56 * 36)

Calculating the value of A:

A = cos⁻¹((56² + 36² - 74²) / (2 * 56 * 36))

A ≈ 45° (rounded to the nearest whole number)

Using the fact that the sum of angles in a triangle is 180 degrees:

C = 180° - A - B

Substituting the known values:

C ≈ 180° - 45° - 67°51'

Calculating the value of C:

C ≈ 67°9' (rounded to the nearest whole number, C ≈ 67°)

Therefore, in the given triangle, the length of side b is approximately 56m, angle A is approximately 45°, and angle C is approximately 67°.

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the firm has a total asset turnover of 0.6, which means that for every $1 of total assets, the firm generates $0.6 in sales. This ratio indicates the firm's efficiency in utilizing its assets to generate revenue

Total asset turnover is a financial ratio that measures a company's efficiency in generating sales from its total assets. It is calculated by dividing the total sales by the average total assets. In this case, the firm has $600,000 in sales and total assets of $1 million.

Total Asset Turnover = Total Sales / Average Total Assets

To calculate the average total assets, we sum the beginning and ending total assets and divide by 2:

Average Total Assets = (Beginning Total Assets + Ending Total Assets) / 2

Given that the firm's total assets are $1 million, the average total assets would also be $1 million.

Plugging in the values into the total asset turnover formula:

Total Asset Turnover = $600,000 / $1,000,000 = 0.6

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Answer:

\(x=2\)

Step-by-step explanation:

This is our equation

\(2.5\left(6x-4\right)=10+4\left(1.5+0.5x\right)\)

First off we can distribute the 2.5 and the 4

Now our equation is \(15x-10=10+6+2x\)

subtract \(2x\) from both sides

\(13x-10=16\)

add \(10\) to both sides

\(13x=26\)

Divide both sides by \(13\)

\(x=2\)

Answer:

h = 22.5

Step-by-step explanation:

Volume Cylinder = πr²h

Radius = diameter/2

radius = 3

Solve:

-Chetan K

The surface area of that part of the plane 10x+7y+z=4 that lies inside the elliptic cylinder \(\frac{x^2}{25} +\frac{y^2}{9}\) is 15π√150 and this can be determined by using the given data.

We are given the two equations are:

10x + 7y + z = 4---------(1)

\(\frac{x^2}{25} +\frac{y^2}{9} =1-------------(2)\)

equation(1) is written as

z = 4 - 10x - 7y-----------(3)

The surface area is given by the equation:

A(S) = ∫∫√[(∂f/∂x)² + (∂f/∂y)² + 1]dA------------(4)

compare equation(4) with equation(3) we get the values of ∂f/∂x and

∂f/∂y

∂f/∂x = -10

∂f/∂y = -7

substitute these values in equation(4)

A(S) = ∫∫√[(-10)² + (-7)² + 1]dA

A(S) = ∫∫√[100 + 49 + 1]dA

A(S) = ∫∫√[150]dA

A(S) = √150 ∫∫dA

Where ∫∫dA is the elliptical cylinder

From the general form of an area enclosed by an ellipse with the formula;

comparing x²/a² + y²/b² = 1  with x²/25 + y²/9 = 1, from that we get the values of a and b

a = 5 and b = 3

So, the area of the elliptical cylinder = πab

Thus;

A(S) = √150 × π(5 × 3)

A(S) = 15π√150

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Answer:

X=-2.5+3

Step-by-step explanation:

2x + 5y = 6

2X=-5Y+6

X=-2.5Y+3

Answer:

147

Step-by-step explanation:

To solve this first plug in the values for their respective variables. This gets you 11*12+15. Then use PEMDAS to solve, remember PEMDAS stands for: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Following PEMDAS, the first step is 11*12,

11*12+15

132+15

Then add,

147

Answer:

the answer is x= -33

Step-by-step explanation:

Thus, the set  A∩C, contains only one element, which is 4. We write  A∩C, = {4} in set notation.

To evaluate A∩C, we will need to find the intersection of the sets A and C.

The intersection of two sets consists of the elements that are present in both sets. In this case, A = {1, 2, 4, 8, 9} and C = {3, 4, 5, 6, 7}. By comparing the two sets, we can identify the common elements.

From the given sets, we see that the only common element between them is 4. Therefore, ac = {4}.

In set notation, we write ac = {x | x ∈ a and x ∈ c}.

This means that ac is the set of all elements x such that x belongs to a and x also belongs to c. In this case, the only element that satisfies this condition is 4, so we write ac = {4}.

By using set notation, we can avoid any confusion or misunderstandings that might arise from using vague or imprecise language.

In summary, the set  A∩C, contains only one element, which is 4. We write ac = {4} in set notation.

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In order to apply the chain rule, we need a composite function that involves multiple variables and their relationship.

The chain rule allows us to calculate the derivative of a composite function by multiplying the derivative of the outer function with the derivative of the inner function.

However, without an explicit function or equation involving the variables (,,), (=), (=), and (=), it is not possible to determine their partial derivatives using the chain rule.

Additional information or a specific equation relating these variables is required for further analysis.

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Answer

X=10 and y=20

Step-by-step explanation:

since y=2x, you need to substitute that into the equation to get:

3x-(2x)=10

And evaluate:

x=10

Then substitute 10 into the equation: 2x=y:

2(10)=y

evaluate:

20=y

Now go back to the original equation to check your answer and substitute the values in:

3(10)-(20)=10

30-20=10

10=10

We can conclude that the conditions for conducting a one-sample t-test have been met.

What is mean?

In statistics, the mean is a measure of central tendency that represents the average of a set of numerical values. It is also commonly known as the arithmetic mean. To calculate the mean, we add up all the numerical values in the data set and divide by the total number of values.

To solve this problem we have to determine whether the conditions for conducting a one-sample t-test have been met, we need to check for the following assumptions:

Random sampling: The problem statement states that the sample was randomly selected, so this assumption is met.

Independence: The sample of marathon runners should be independent of each other in terms of their BMI values. We assume that the runners were not selected based on their BMI, so this assumption is also met.

Normality: The sample size is large enough (n = 35), so we can use the central limit theorem to assume that the sample mean follows a normal distribution. However, we also need to check whether the distribution of BMI values in the population is approximately normal. We do not have information on this aspect, so we need to assume that the BMI values are approximately normally distributed in the population.

Homogeneity of variance: The standard deviation of the population is not known, but we can assume that the sample size is large enough for the sample standard deviation to be a good estimate of the population standard deviation. Therefore, we assume that the variance of BMI values in the population is approximately equal to the variance of BMI values in the sample.

Therefore, we can conclude that the conditions for conducting a one-sample t-test have been met.

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The expression (3.6 * 10^-5) / (1.8 * 10^2) can be calculated as = 2 * 10^-7

A canonical, normal, or standard form of a mathematical object is a conventional manner of presenting that item as a mathematical expression in mathematics and computer science. It is frequently the one that gives the simplest representation of an item and allows it to be identified in a unique fashion.

A quantity is said to be stated in standard form if it is written as the product of a power of ten and a number higher than or equal to one but less than ten (or scientific notation).

The expression (3.6 * 10^-5) / (1.8 * 10^2) can be calculated as follows:

=3.6 * 10^-5 / (1.8 * 10^2)

= (3.6 / 1.8) * (10^-5 / 10^2)

= 2 * 10^-7

Therefore, the answer in standard form is 2 * 10^-7.

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The answer to this question is B: the original optimal solution will remain the same

If one of the coefficients of the objective function is changed to a value inside of its respective sensitivity range (lower than the upper limit or greater than the lower limit), the original optimal solution will remain the same. Sensitivity analysis is the examination of the way a change in an objective function's coefficient changes the optimal solution's value.

This analysis is also known as "What-If" Analysis.The sensitivity range is the range of possible values for the objective function coefficients within which the existing optimal solution remains optimal. The optimal solution's coefficients or values are considered sensitive within the sensitivity range.

If any of the coefficients in the optimal solution changes inside the sensitivity range, the original optimal solution will remain optimal.

Shadow Price:In linear programming, the shadow price is the increase in the objective function's value when a constraint's right-hand side is increased by one unit, while all other variables remain constant. The shadow price for the decision variables can be used to identify how much each additional unit of a limited resource is worth.

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Answer:

$480

Step-by-step explanation:

multiply the normal price $600 by 20 then divide it by one hundred

the discount is $120

the sales price is subracting the discount of $120 from the original price of $600 then get $480 as the sales price.

Answer:

Step-by-step explanation:

Method 1:  Subtract 20% from 100%, obtaining 80%, and then multiply the regular price ($600) by the decimal equivalent 0.80.  We get $480 as the sale price.

Method 2: Calculate the amount of the discount by multiplying $600 by 0.20, obtaining $120.  Then subtract this discount from the regular price, $600, obtaining $480.

Which of the following is an accurate definition for the power of a statistical test is C. The power of a statistical test refers to the probability of rejecting a false null hypothesis. This means that the test is able to correctly identify when there is a significant difference between two groups or conditions.

statistical tests are used to determine whether the results of an experiment are likely due to chance or whether there is a real effect. The null hypothesis states that there is no significant difference, while the alternative hypothesis states that there is. The power of a statistical test refers to the ability of the test to correctly reject the null hypothesis when it is false, and thus support the alternative hypothesis.

, the power of a statistical test is the probability of correctly rejecting a false null hypothesis, which indicates that there is a significant difference between two groups or conditions.

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The point (0,0) implies that 0 pounds of silver expenses are $0.00. Then the correct option is D.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

Let the equation of the line pass through (x₁, y₁) and (x₂, y₂).

Then the equation of the line is given as,

\(\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)\)

From the graph, the line is passing through the origin and (1, 17). Then the equation of the line is given as,

(y - 0) = [(17 - 0) / (1 - 0)](x - 0)

y = 17x

Where 'x' is the number of pounds and 'y' is the total cost.

The point (0,0) infers that 0 pounds of silver cost $0.00. Then the right choice is D.

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The value of m or Mia's time is 11.34 seconds.

Let Mia's time is m.

Thomas's time = 8+m

Jasmine's time = 21 + 8+ m

m + 8 + m + 21 + 8 + m = 71

3m + 37 = 71

3 m = 71 - 37

m = 34/3

m = 11.34

Therefore, the value of m or Mia's time is 11.34 seconds.

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Answer:

C

Step-by-step explanation:

If you count the hours by how much each answer choice is giving you, you will get the answer. (First job is 4 hours and a few mins. Answer choice C is $6 an hour. So 4 times 6 is 24 plus the extra minutes.)

The correct answer is results of the memory test.

Given that,

Dr. Huang asked the healthy volunteers in a group to read a chapter for an hour. The other half of the attendees spent 15 minutes studying. Dr. Huang next asked participants to recall specifics from the paragraph in a test.

To find :what was the dependent variable ?

It is something on which other elements depend. The test score for a instance, may be the dependent variable because it could vary based on a number of variables, including how much you studied, how much sleep you got the night before the test, and even how hungry you were.

Therefore, the correct answer is results of the memory test.

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Answer:

Slope is (6/7)

Step-by-step explanation:

6-0= -6

7-0= -7

-6/-7= 6/7

The product of the expression is 2x⁶ + 23x³ + 63

First, we should note that algebraic expressions are described as expressions that are composed of coefficients, terms, constants, variables and factors.

These algebraic expressions are also made up of mathematical operations, such as;

From the information given, we have that;

2x3 +9 and x3 +7?

Then,

(2x³ + 9)(x³ + 7)

expand the bracket

2x⁶ + 14x³ + 9x³ + 63

add like terms

2x⁶ + 23x³ + 63

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Answer:

\(\displaystyle x=\left\{\arcsin\left(\frac{-1+\sqrt{3}}{2}\right), \pi-\arcsin\left(\frac{-1+\sqrt{3}}{2}\right)\right\}\)

Or their approximations:

\(x\approx \left\{0.375, 2.767\right\}\)

Step-by-step explanation:

We are given:

\(\cos(2x)=2\sin(x)\)

And we want to find the solution in [0, 2π).

Recall the double-angle identities for cosine:

\(\begin{aligned} \cos(2x)&=\cos^2(x)-\sin^2(x) \\&=2\cos^2(x)-1\\&=1-2\sin^2(x)\end{aligned}\)

We will use the third version. Hence:

\(1-2\sin^2(x)=2\sin(x)\)

Move all terms to one side:

\(-2\sin^2(x)-2\sin(x)+1=0\)

This is now in quadratic form. For simplicity, let u = sin(x):

\(-2u^2-2u+1=0\)

Solve for u. Simplify:

\(2u^2+2u-1=0\)

By the quadratic formula:

\(\displaystyle u=\frac{-(2)\pm\sqrt{(2)^2-4(2)(-1)}}{2(2)}}\)

Evaluate:

\(\displaystyle u=\frac{-1+\sqrt{3}}{2}\approx 0.366\text{ and } u=\frac{-1-\sqrt{3}}{2}\approx-1.366\)

Note that the second solution is > -1. Hence, we will disregard it. (The range of sine is only -1 ≤ y ≤ 1.)

Back-substitute:

\(\displaystyle \sin(x)=\frac{-1+\sqrt{3}}{2}\)

Since it is approximately 0.366, it will occur twice (once in QI and again in QII. This is because sine is positive only in those two quadrants). Using a calculator:

\(\displaystyle x_1=\arcsin\left(\frac{-1+\sqrt{3}}{2}\right)\approx0.375\)

Using reference angles, the other solution is:

\(\displaystyle x_2=\pi -x_1=\pi -\arcsin\left(\frac{-1+\sqrt{3}}{2}\right) \approx2.767\)

Answer: you are on your own.

Step-by-step explanation:

The equation of the linear function f(x) is f(x) = 4x - 3. So, the answer is B) 4x - 3.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
We can use the two given data points to determine the equation of the linear function f(x) using the slope-intercept form:

f(x) = mx + b

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

First, we can find the slope of the function by using the formula:

m = (y₂ - y₁) / (x₂ - x₁)

where (x₁, y₁) = (2, 5) and (x₂, y₂) = (4, 13)

m = (13 - 5) / (4 - 2) = 4

Now we can use the slope and one of the given points to solve for the y-intercept:

5 = 4(2) + b

b = -3

Therefore, the equation of the linear function f(x) is f(x) = 4x - 3.

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