Add.

(2x2+4−x3)+(−4x2+6x3−2)



Express the answer in standard form.

Enter your answer in the box.

Answer:

\( \frac{160}{3} \)

Step-by-step explanation:

Step 1: A discount of

\( \frac{1}{3} \)

means that the current price is two thirds of the original cost.

Step 2: The total cost is

\(80 \times \frac{2}{3} = \frac{160}{3} \)

and the answer follows.

Solution:

Note that:

Simplify the expression.

Lynn will pay $53.33.

Answer:

15 miles

Step-by-step explanation:

8.80-2.80=6

6/0.40=15 miles

m = miles traveled.

$2.80 + $0.40m = $8.80

Subtract $2.80 from both sides.

$0.40m = $6.00

Divide both sides by $0.40

m = 15

Carmen traveled a total of 15 miles.

The first-order necessary conditions for the given NLP problem involve the KKT conditions, and a specific solution satisfying these conditions needs further analysis.

(a) The first-order necessary conditions for constrained optimization problems are defined by the KKT conditions. These conditions require that the gradient of the objective function be orthogonal to the feasible region, the constraints be satisfied, and the Lagrange multipliers be non-negative.

(b) Assuming the first Lagrangian multiplier constraint is active means that it holds with equality, while the second one is inactive implies that it does not affect the solution. By incorporating these assumptions into the KKT conditions and solving the resulting equations along with the given constraints, a solution can be obtained.

(c) To determine if the solution satisfies the first-order necessary conditions, one needs to verify if the obtained values satisfy the KKT conditions. This involves checking if the gradient of the objective function is orthogonal to the feasible region, if the constraints are satisfied, and if the Lagrange multipliers are non-negative. Only by performing this analysis can it be determined if the solution satisfies the first-order necessary conditions.

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The answer is:  " \(42\frac{2}{3}\) miles per hour " .

_______

Step-by-step explanation:

This is a "unit rate" problem.

"Find the rate in miles per "single [unit] hour."

 {GIven:  "5 1/3 mi per 7 1/2 min."}.

_______

Using a technique unknown as "dimension analysis" ;

let us convert the given value; in "mi / min" ;

 to its value in "mi/hr" (our answer):

_______

→    " 5 1/3  mi        60 min                  ,    

      ________  *   ______   =   ?      mi / hr ?  "

       7 1/2 min           1 hr

_______

Note:  The units of "min" ["minute(s)"] ; cancel out to "1" ;

               →  {since:  "min/min = 1 " ;

  and we have:  " [ (5  1/3 * 60) / (7 1/2) ] mi / hr. " ;

_______

   →   " 5  1/3 =  [ (3*5) + 1 ] / 3 " ;

                                  = " (15 + 1) /3 " ;

                                  = " 16 / 3 " ;  → (as an "improper fraction") ;

   →   " 7  1/2 =  [ (2*7) + 1 ] / 2 " ;

                                  =  " (14 + 1) / 2) " ;

                                  = "  15 / 2 " ;   → (as an "improper fraction") ;

_______

So we have:

   →   " \((\frac{16}{3}*\frac{60}{1})\) ÷ \(\frac{15}{2}\) " ;

Note: Dividing by a value is the same value as multiplying by the reciprocal of that value.

 In this case:  The reciprocal of:  " \((\frac{15}{2}\)\()\) " ;  is:  " \((\frac{2}{15})\) " ;

_______

So, we can rewrite the expression:

_______

   →   " \((\frac{16}{3}*\frac{60}{1}) * \frac{2}{15}\) " ;

_______

     =  " \(\frac{(16*60*2)}{(3*1*15)}\) " ;

 →   "    ( 16 * 60 * 2)      "

             (3 * 15)    

 →   Take note of the "60" in the numerator;  and the "15" in the denominator ;

  " (60 ÷ 15 = 4) " ;  

 so we can change the "60" to a "15" and cancel out the "15" ; since:

  " (15 ÷ 15 = 1 ) " ;  

_______

And rewrite:

_______

   →   "    ( 16 * 4 * 2)      "  

                    3       ;

_______

\(= \frac{(16 * 4 * 2)}{3} = \frac{(64*2)}{3} = \frac{128}{3} =\)  (128 ÷ 3) =  " \(42\frac{2}{3}\) " .

_______

The answer is:  " \(42\frac{2}{3}\) miles per hour " .

_______

Hope this is helpful!

 Best of luck to you!

_______

The table layout and relationship structure of a relational database is called its schema.

A schema in a relational database refers to the overall structure and organization of tables, their attributes (columns), and the relationships between them. It defines the blueprint for how the data is organized and stored in the database.

The schema includes information such as the table names, column names, data types, constraints, and the relationships established through keys (such as primary keys and foreign keys). It provides a logical representation of the database structure and helps ensure data integrity and consistency.

The schema serves as a guide for creating, modifying, and querying the database tables. It defines the structure that enforces rules and relationships between tables, facilitating data manipulation and retrieval.

By designing a well-defined schema, database administrators and developers can establish the foundation for efficient data storage, retrieval, and management within a relational database system.

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Answer:

I completed my angel is a line what's the angels has to be alive but B is not an angel cuz it's her Reddit Iran has to be the right has not as Justin Bieber allusions in the Seas Angel against a little angel has to be a line but you got to put it up one line up so that's how you can do it $8 and a symbol

Step-by-step explanation:

i hope it work

Answer:

b c e

Step-by-step explanation:

hope this helps! Just did it too!

The volume of a hemisphere with a radius of 8. 8 cm, rounded to the nearest tenth of a cubic centimeter, is approximately 1436.8 cubic centimeters.

To find the volume of a hemisphere with a radius of 8.8 cm, you can use the formula:

Volume = (2/3)πr³

where r is the radius of the hemisphere. Plugging in the given radius:

Volume = (2/3)π(8.8)³ ≈ 1436.8 cubic centimeters

So, the volume of the hemisphere is approximately 1436.8 cubic centimeters, rounded to the nearest tenth of a cubic centimeter.

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With the help of sets we can conclude our answer.

acc to our qusetion-

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Answer:

im still middle school i love to help people who r in higher classes so ill try

Step-by-step explanation:

maybe divide 73% by 0.4

After factorization, the absolute value of the variable 'x' is 9.

What is factorization method?

The factorization method is used for the quadratic based equation whose highest degree is either two or more than two. Depending upon the degree of the variable, the number of factors are calculated. And by substituting the calculated value to check whether the answer is correct or not.

According to the question, the given linear equation is: |2x - 4| = 15

Now, to calculate the value of the variable 'x' by using factorization method. And to remove the bars which represent absolute value that means positive values

Required expression: |2x - 4| = 15

⇒ 2x = 15 + 4 = 19

⇒ x = 19/2 = 9.5

After factorization, the absolute value of the variable 'x' is 9.

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The probability of guessing between 3 and 7 correct responses on the test is approximately 87.43%.

To find the probability of guessing between 3 and 7 correct responses on a test consisting of 8 questions with 8 multiple choice options available for each question, we can use the binomial distribution formula.

The binomial distribution formula is:

P(X = k) = (n choose k) * \(p^k\) * \((1 - p)^{(n - k)\)

where:

X is the random variable representing the number of correct responses

k is the number of correct responses we want to find the probability for (between 3 and 7 in this case)

n is the total number of questions (8 in this case)

p is the probability of getting a correct answer by guessing (1/8 in this case)

We can calculate the probability of guessing exactly k correct responses using the formula above. Then, we can sum up the probabilities for k = 3 to k = 7 to get the total probability of guessing between 3 and 7 correct responses.

P(3 <= X <= 7) = P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7)

Using the binomial distribution formula, we get:

P(X = k) = (n choose k) * \(p^k\) * \((1 - p)^{(n - k)\)

Plugging in the values, we get:

P(X = 3) = (8 choose 3) * (1/8)³ * (7/8)⁵ = 0.2218

P(X = 4) = (8 choose 4) * (1/8)⁴ * (7/8)⁴ = 0.2931

P(X = 5) = (8 choose 5) * (1/8)⁵ * (7/8)³ = 0.2345

P(X = 6) = (8 choose 6) * (1/8)⁶ * (7/8)² = 0.1025

P(X = 7) = (8 choose 7) * (1/8)⁷ * (7/8) = 0.0224

Therefore, the probability of guessing between 3 and 7 correct responses on the test is:

P(3 <= X <= 7) = 0.2218 + 0.2931 + 0.2345 + 0.1025 + 0.0224 = 0.8743

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Answer:

There are 14 4-point questions and 26 2-point questions.

Step-by-step explanation:

m  = number of 4-point questions

n = number of  2-point questions

m+n =40

4m + 2n =108

You can solve system by elimination:

Multiply the 1st equation by -4 and keep the 2nd equation the same.

−4(m+n=40) → -4m -4n= -160

                       4m+2n=108 add them up

-2n = -52 divide both sides by -2

n = 26

plug it back in to solve for m

m + n = 40 →m + 26 =40 subtract 26 to both sides

m = 14

Answer:

m=14, n=26

Step-by-step explanation:

Answer:

58, 38 and 76

Step-by-step explanation:

(a)

The median is represented by the vertical line inside the box

median = 58

(b)

The interquartile range is the difference between the upper quartile and the lower quartile.

The upper quartile is the value at the right of the box, that is 72

The lower quartile is the value at the left of the box, that is 34

Interquartile range = 72 - 34 = 38

(c)

The range is the difference between the largest and smallest value

max value is the value at the right of the data, that is 86

min value is the value at the left of the data, that is 10

Range = 86 - 10 = 76

Main AnswerIn the study by Hoynes (2012), the population that is of interest to the researchers are families who receive Supplemental Nutrition Assistance Program (SNAP) or more commonly known as food stamps. The study examines the impact of the policy-driven change in economic resources available in utero and during childhood on the economic health of individuals in adulthood.

The sample that the study examines are 60,782 families over the time period of 1968 to 2009, which is subsequent to the introduction of the Food Stamp Program in 1961. The data links family background in early childhood to adult health and economic outcomes.The characteristics of the population that are of interest to the researchers are the impact of a positive and policy-driven change in economic resources available in utero and during childhood on the economic health of individuals in adulthood. Specifically, the researchers looked at the long-term effect of access to food stamps in childhood on the incidence of metabolic syndrome (obesity, high blood pressure, and diabetes) and an increase in economic self-sufficiency for women.

Based on the study, the researchers concluded that access to food stamps in childhood leads to a significant reduction in the incidence of metabolic syndrome and, for women, an increase in economic self-sufficiency. Hence, the results suggest substantial internal and external benefits of SNAP.

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Answer:

\(\displaystyle a=\frac{d-3b}{2}\)

Step-by-step explanation:

Equation Solving

It's given the formula:

d = 2a + 3b

To make a the subject, we must perform some operations to isolate the letter on the left side of the equation.

First, swap both sides:

2a + 3b = d

Subtract 3b:

2a = d - 3b

Divide by 2:

\(\mathbf{\displaystyle a=\frac{d-3b}{2}}\)

Now a is the subject.

Answer:

455

Step-by-step explanation:

900-(35×13)=455

According to the information, the possible combinations that Jane can have are: Coffee and waffle, Coffee and pancakes, coffee and toast, mocha and waffle, mocha and pancakes, mocha and toast, latte and waffles, latte and coffee, and latte and toasts. In total there are 9 options.

To identify the possible options that Jane has, we must identify the products that are available and the combination that she wants. In this case, it is a hot drink and a bakery product.

According to the above, the possible options would be:

In total there are 9 options.

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Step-by-step explanation:

%error= (new value- original value) x 100%

original value

=20-18 x 100

18

=11.11...

The point 3/4th of the way from point A to point B is (3.25, -1.25).

What is the coordinate geometry?

In geometry, a coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements

To determine the point 3/4th of the way from point A to point B, we can use the midpoint formula to find the coordinates of the midpoint M of the line segment AB, and then use those coordinates to find the point 3/4th of the way from point A to point B.

The midpoint M of the line segment AB can be found using the midpoint formula:

M = ((x1 + x2)/2, (y1 + y2)/2)

where (x1, y1) and (x2, y2) are the coordinates of points A and B, respectively.

Substituting the given coordinates, we get:

M = ((3 + 4)/2, (2 - 3)/2) = (3.5, -0.5)

Now we can find the point 3/4th of the way from point A to point B by starting at point A and moving 3/4th of the way towards point B. To do this, we can use the following formula:

P = ((1 - 3/4)*x1 + (3/4)*x2, (1 - 3/4)*y1 + (3/4)*y2)

Substituting the coordinates of points A and B, we get:

P = ((1 - 3/4)*3 + (3/4)*4, (1 - 3/4)2 + (3/4)(-3)) = (3.25, -1.25)

Hence, the point 3/4th of the way from point A to point B is (3.25, -1.25).

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The particular solution of the differential equation, given y = 8 when x = 1, is \(y = -x^2 + 9x^3.\)

To solve the first-order linear differential equation using the integrating factor method, we follow these steps:

(a) Determine the integrating factor:
1. Start with the given differential equation: \(dy/dx - 3y/x = x^2.2. Rewrite the equation in the standard form: dy/dx + (-3/x)y = x^2.3. Identify the coefficient of y as P(x) = -3/x.4. Find the integrating factor (IF), which is given by IF = e^(∫P(x)dx). Integrating P(x), we have ∫(-3/x)dx = -3ln|x|. Therefore, the integrating factor is IF = e^(-3ln|x|) = 1/x^3.\)

(b) Solve the differential equation using the integrating factor:
1. Multiply the entire equation by the integrating factor (IF):
  \((1/x^3)dy/dx + (-3/x^4)y = (x^2/x^3). Simplifying, we get dy/dx - (3/x^4)y = x/x^3.\\\)
2. Notice that the left side of the equation is the derivative of (y/x^3):
  d/dx(y/x^3) = x/x^3.

3. Integrate both sides with respect to x:
\(∫d/dx(y/x^3)dx = ∫(x/x^3)dx.\)

4. Simplify and integrate:
  \(y/x^3 = ∫(1/x^2)dx = -1/x + C,\)where C is the constant of integration.

5. Multiply both sides by x^3 to solve for y:
  \(y = -x^2 + Cx^3.\)

(c) Find the particular solution given y = 8 when x = 1:
  Substitute the values x = 1 and y = 8 into the equation:
  \(8 = -(1)^2 + C(1)^3. 8 = -1 + C. C = 8 + 1 = 9.\\\)
The particular solution of the differential equation, given y = 8 when x = 1, is \(y = -x^2 + 9x^3.\\\)
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Answer:

Options (B) and (C)

Step-by-step explanation:

Farmland owned by Dwight = 1600 acres

He wants to divide his farmland into four equal parts.

So the area of each part of the land will be = \(\frac{\text{Area of the farmland}}{\text{Number of parts of the farmland}}\) = \(\frac{1600}{4}\)

This expression can be written in different ways,

\(\frac{1600}{4}=\) 1600 ÷ 4

      \(=1600\times \frac{1}{4}\)

Therefore, Options (B) and (C) will be the correct options.                                                                        

Answer:

Scale factor is 3

The total product average product and marginal product are important to operate efficiently and maximize profits. Option D is the correct answer.

Being able to calculate the total product, average product, and marginal product is important for businesses to operate efficiently and maximize profits.

The total product is the overall output produced by a business, while the average product is the output per unit of input, and the marginal product is the change in output resulting from a change in input.

These calculations can help businesses optimize their production processes by identifying the most efficient levels of input and output.

By maximizing their output while minimizing their input costs, businesses can increase their profitability and gain a competitive advantage in the market.

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The question is -

Being able to calculate the total product average product and the marginal product is important:

a. for determining demand and supply.

b. when filing taxes.

c. to keep competition in check.

d. to operate efficiently and maximize profits.

Answer:

true

Step-by-step explanation:

Answer:

(A,1) (A,2) (A,3) (A,4) (B,1) (B,2) (B,3) (B,4)

Hope that helped?

Answer:

That is correct good jiob

Step-by-step explanation:

Answer:

x=11

Step-by-step explanation:

Since both angles are congruent, 2x-10=12, so x=11

Answer:

×=11

Step-by-step explanation:

2x-10=12

2×=22

×=11

2(11)-10

22-10=12

Answer:

92 cups

Step-by-step explanation:

36.8/.4 or 368/4 is 92

92 cups

Answer:

92 oz

Step-by-step explanation:

I hope this helps!