Let f and g be functions defined on R" and c a real number. Consider the following two problems, Problem 1: max f(x) and Problem 2: max f(x) subject to g(x) = c. 1. Any solution of problem 1 is also a solution of problem 2. True or false? 2. If Problem 1 does not have a solution, then Problem 2 does not have a solution. True or false? 3. Problem 2 is equivalent to min - f(x) subject to g(x) = c. True or false? 4. In Problem 2, quasi-convexity of f is a sufficient condition for a point satisfying the first-order conditions to be a global minimum. True or false? 5. Consider the function f(x,y) = 5x - 17y. f is a) quasi-concave b) quasi-convex c) quasi-concave and quasi-convex d) no correct answer

Answer:

Hello There!!

Step-by-step explanation:

1.×-10=13. 13+10=23

2.t+20=44. 44-20=24

3.y/5=7. 5×7=35

You do the inverse operations to find the unknown number.For example if it is minus you do plus. e.g x-7=19 . 19+7=26

hope this helps,have a great

Answer:

Reconciled balance $3,142.11

Step-by-step explanation:

The computation of the reconciled balance is shown below:

Debit balance as per check book $1,955.81

Add: interest earned $31.55

Collection of note $3,100

Outstanding checks $2,919.43

Less: service charges -$22.80

Less: deposit in transit -$3,991.88

Less: forgot a check -$850

Reconciled balance $3,142.11

The same would be relevant and considered too

Answer:

(1.5, -4)

Step-by-step explanation:

( -1, -5) and (4, -3)

[tex](\frac{-1+4}{2} ,\frac{-5-3}{2} )\\\\(\frac{3}{2} ,\frac{-8}{2} )\\\\(1.5,-4)[/tex]

Answer:

-9p+3

plz mark me as brainliest

Answer:

98.19

Step-by-step explanation:

Volume of whole cube minus volume of cylinder. volume of cylinder is pi x r^2 x h

The volume of remaining solid is 46.44 in³

Volume is the measure of the capacity that an object holds.

For example, if a cup can hold 100 ml of water up to the brim, its volume is said to be 100 ml. Volume can also be defined as the amount of space occupied by a 3-dimensional object. The volume of a solid like a cube or a cuboid is measured by counting the number of unit cubes it contains. The best way to visualize volume is to think of it in terms of the space.

Here are the steps to calculate volume of any solid shape:

edge= 6

Volume of cube= l³

= 6*6*6

=216 in³

Now, Volume of cylinder

=πr²h

= 3.14 * 3 * 3 * 6

=169.56 in³

Volume of remaining solid= 216- 169.56

=46.44 in³

Learn more about volume here:

https://brainly.com/question/1578538

#SPJ2

Answer:

12.68 de

Step-by-step explanation:

Answer:

Step-by-step explanation:

it's kinda confusing b/c of the minus signs.. huh...  but -5 is less than -2 sooo

start with

-2 1/2  - (-5 3/4 )

=5 3/4 - 2 1/2

=5 3/4 - 2 2/4

=23/4 - 10/4

=13/4

there you go...  :)

if you want it back in proper fractions

3 1/4

Answer:

6x15 2/4 yd dividedby 2

Step-by-step explanation:

do the math and u get ur answer

Answer: 60

Step-by-step explanation:

1=10. x6=60

In the drawing a graph is there with labeling of vertices A,B,C,D with matrix [tex]\begin{bmatrix}2 &1 & 1&0\\1 & 0 & 0&1\\1&0&0&1\\0&1&1&0\end{bmatrix}[/tex].

Given that,

a. We have to draw a graph which has the following adjacency matrix

[tex]\begin{bmatrix}2 &1 & 1&0\\1 & 0 & 0&1\\1&0&0&1\\0&1&1&0\end{bmatrix}[/tex]

Taking the matrix rows and column as A,B,C,D.

Therefore, In the drawing the graph is with matrix.

(b) We have to label the vertices of your graph A,B,C,D.

The drawing can be seen with the label of vertices A,B,C,D.

(c) We have to find how many different paths of length are there from the vertex you labelled A to D

A →A →B →A→A→B→A→C→D

A→A→A→A→A→C→D

A→A→A→A→A→B→D

Therefore, In the drawing a graph is there with labeling of vertices A,B,C,D with matrix [tex]\begin{bmatrix}2 &1 & 1&0\\1 & 0 & 0&1\\1&0&0&1\\0&1&1&0\end{bmatrix}[/tex].

To know more about matrix visit:

https://brainly.com/question/14314550

#SPJ4

Answer:

m<PRS+m<PRQ=m<QRS.

17 + 17 = 34

m<QRS=34

Answer:

2

Step-by-step explanation:

Answer:

2 is answer i promise

Step-by-step explanation:

Answer:

h = 403.92in or 1026cm

Step-by-step explanation:

Given

Let x represent the density of mercury, and y the density of water.

[tex]y = 13.5x[/tex]

[tex]Mercury\ barometer =76cm[/tex] or [tex]Mercury\ barometer =29.92in[/tex]

Required

Determine the height of the barometer

At standard atmospheric pressure, the relationship between the mercury barometer and the height (h) of the barometer is:

[tex]h = 13.5 * Mercury\ barometer[/tex]

In centimeters, we have:

[tex]h = 13.5 * 76cm[/tex]

[tex]h = 1026cm[/tex]

In inches, we have:

[tex]h = 13.5 * 29.92in[/tex]

[tex]h = 403.92in[/tex]

Answer:

Slope: Undefined

Step-by-step explanation:

Answer:

y = 6

Step-by-step explanation:

Use the direct variation equation, y = kx

Plug in y = 3 and x = 9, and solve for k

y = kx

3 = k(9)

1/3 = k

So, the equation is y = 1/3x

Plug in 18 as x and solve for y

y = 1/3x

y = 1/3(18)

y = 6

So, when x = 18, y = 6

Answer:

The positive predictive value ≈ 30.012%

Step-by-step explanation:

(a) The given percentage of the people in the region that have the disease, P(D) = 6% = 0.06

The percentage people correctly identified as having the disease by the standard diagnostic test = 91%

The percentage of people incorrectly identified as having the disease by the standard diagnostic test, P(T + |H) = 8%

Therefore, the sensitivity of the test, P(T + |D) = 0.91

The specificity of the test, P(T - |H) = 1 - 0.08 = 0.92

Therefore, the probability that a person is healthy, P(H) = 1 - 0.06 = 0.94

Therefore, in a population of 1,000 people, 60 people have the disease, with a sensitivity of 91%, the test will correctly pic 0.91×66 = 60.06 people correctly with the disease and 0.91 × 940 = 855.4 people without the disease

The number of non-diseased that test positive by the test is 0.08 × 1000 = 80 people which are false positives

Therefore, the number of diseased diagnosed as negative is 0.08 × 60 = 4.8

Therefore, we have;

[tex]\begin{array}{cccc}&Deseased&Non-diseased& Diseased + Non-diseased\\Test \ +ve&60.06&80& 140.06\\Test \ -ve&4.8&855.4&\end{array}[/tex]

The positive predictive value = Diseased +ve/(Diseased +ve + Non-diseased  +ve)

[tex]The \ positive \ predictive \ value = \dfrac{Diseased +ve}{Diseased +ve + Non-diseased +ve} \times 100[/tex]

Therefore;

The positive predictive value = 60.06/(60.06 + 140.06) × 100 ≈ 30.012%

[tex]\Huge \textsf{Answer:\fbox{25 pizzas and 80 sodas sold.}}}[/tex]

[tex]\Huge \textsf{Step-by-step explanation}[/tex]

[tex]\LARGE \bold{\textsf{Step 1: Assign Variables}}[/tex]

[tex]\textsf{Let's assign a variable for the number of pizzas sold, we will call it \textit{"p."}}\\\textsf{And we will assign the variable\textit{"s"} for the number of sodas sold.}[/tex]

[tex]\LARGE \bold{\textsf{Step 2: Write equations based on the given information}}[/tex]

[tex]\large \bold{ \textsf{From the problem, we know that:}}[/tex]

[tex]\bullet \textsf{The school made \$260 from seeling 4 pizzas and 2 sodas.}\\\\\bullet \textsf{The number of sodas sold was five more than three times the number of pizzas sold.}[/tex]

[tex]\large \bold{ \textsf{We can use this information to write two equations:}}[/tex]

[tex]\text{Equation 1} : 4p + 2s = 260 \text{(since each pizza costs \$4 and each soda costs \$2)}[/tex]

[tex]\text{Equation 2} : s = 3p + 5 \text{(The number of sodas sold was 3 times the number of}\\\text{pizzas sold plus 5)}[/tex]

[tex]\LARGE \bold{\textsf{Step 3: Solve the system of equations}}[/tex]

[tex]\large \textsf{To solve the system of equations, we can substitute Equation 2 into Equation}\\\textsf{1 for \textit{"p"}:}[/tex]

[tex]\bullet \textsf{4\textit{p} + 2\textit{s} = 260}\\\\\bullet \textsf{4\textit{p} + 2(3\textit{p} + 5) = 260}[/tex]

[tex]\large \textsf{Simplifying this expression gives us:}[/tex]

[tex]\textsf{10\textit{p} + 10 = 260}[/tex]

[tex]\large \textsf{Subtracting 10 from both sides:}[/tex]

[tex]\textsf{10\textit{p} = 250}[/tex]

[tex]\large \textsf{Dividing both sides by 10}[/tex]

[tex]\textsf{\textit{p} = 25}[/tex]

[tex]\large \textsf{Now that we know the number of pizzas sold, we can use Equation 2 to find}\\\textsf{the number of sodas sold:}[/tex]

[tex]\bullet \textsf{\textit{s} = 3\textit{p} + 5}\\\\\bullet \textsf{\textit{s} = 3(25) + 5}\\\\\bullet \textsf{\textit{s} = 75 + 5}\\\\\bullet \textsf{\textit{s} = 80}[/tex]

[tex]\large \textsf{So, 25 pizzas and 80 sodas were sold.}[/tex]

----------------------------------------------------------------------------------------------------------

The minimum percentage of data values that lie within the range of $48 to $60 an hour for the mechanic's labor is 86.64%.

To find the minimum percentage of data values that lie within the range of $48 to $60 an hour for the mechanic's labor.

We need to calculate the z-scores for both values and use a z-table to find area under the normal curve between those two scores.

First, we calculate the z-score for $48 an hour:

z = (48 - 54) / 4 = -1.5

Next, we calculate the z-score for $60 an hour:

z = (60 - 54) / 4 = 1.5

Using a standard normal distribution table, we can find that the area under the curve between -1.5 and 1.5 is approximately 0.8664 or 86.64%.

To know more about minimum percentage refer here:

https://brainly.com/question/3409475#

#SPJ11

Answer:

No

Step-by-step explanation:

Because the remainder is not zero

The difference between a low-cost provider strategy and a focused low-cost strategy lies in their scope and target market. A low-cost provider strategy aims to achieve a cost advantage over competitors while targeting a broad market segment.

A low-cost provider strategy involves offering products or services at a lower cost compared to competitors while targeting a broad customer base. The focus is on achieving economies of scale, operational efficiencies, and cost reduction across the value chain to deliver products or services at competitive prices. This strategy aims to attract a large customer base through cost advantages and can be employed in various industries.

In contrast, a focused low-cost strategy narrows down the target market to a specific segment or niche. Instead of targeting a broad market, the company focuses on serving a particular group of customers with specialized needs or preferences. By understanding the unique requirements of this specific segment, the company can tailor its offerings and operations to provide lower costs, thereby gaining a competitive edge within that niche market. This strategy allows for a more concentrated effort and customization to cater to the specific demands of the chosen market segment.

To learn more about  economies of scale click here: brainly.com/question/28175594

#SPJ11

The least squares regression line y-3 x-3 is (a) "The relationship between x and y is positive."

To get the area under the standard Normal curve corresponding to Z < 0.75, we can use the standard Normal distribution tables. The tables provide the cumulative probability up to a given Z-score.

Looking up the value of 0.75 in the standard Normal distribution table, we find that the corresponding area is approximately 0.7734.

Therefore, the answer is (b) 0.7734.

Regarding the least squares regression line y = 3x - 3, we can make the following observations:

a. The relationship between x and y is positive: This is true because the coefficient of x (3) is positive, indicating a positive relationship between x and y.

b. The relationship between x and y is negative: This is false because the coefficient of x (3) is positive, indicating a positive relationship between x and y.

c. As x decreases, y increases: This is false because as x decreases, y will also decrease based on the equation y = 3x - 3.

d. None of the answer options is correct: This is false because option (a) "The relationship between x and y is positive" is correct.

Learn more about normal curve here,

https://brainly.com/question/4079902

#SPJ11

The answer is the test statistic (13.765) is greater than the critical value (5.991), we reject the null hypothesis. Therefore, we can conclude that there is a significant relationship between political party affiliation and support for the referendum on gay rights.

To represent the data in a table, we can create a contingency table:

                             For      Against

Republican            16        54

Democrat              72        28

Other                     27         3

Null hypothesis (H₀): There is no relationship between political party affiliation and support for the referendum on gay rights.

Alternative hypothesis (H₁): There is a relationship between political party affiliation and support for the referendum on gay rights.

To analyze the data, we can perform a chi-square test of independence. This test will determine if there is a significant association between political party affiliation and support for the referendum.

Applying the chi-square test at a significance level (α) of 0.05, we can calculate the test statistic and compare it to the critical value from the chi-square distribution with (rows - 1) × (columns - 1) degrees of freedom.

Let's calculate the expected frequencies for each cell assuming the null hypothesis is true:

                          For      Against    Total

Republican          27        43            70

Democrat            48        52           100

Other                   12        18             30

Total                    87       113            200

Now, we can calculate the chi-square statistic:

χ² = Σ[(O - E)² / E]

where O is the observed frequency and E is the expected frequency.

Performing the calculations, we find:

χ² ≈ 13.765

To determine the critical value, we need to find the degrees of freedom, which is equal to (rows - 1) × (columns - 1) = (3 - 1) × (2 - 1) = 2.

Using a chi-square distribution table or a statistical software, we find that the critical value for a significance level of 0.05 and 2 degrees of freedom is approximately 5.991.

Since the test statistic (13.765) is greater than the critical value (5.991), we reject the null hypothesis. Therefore, we can conclude that there is a significant relationship between political party affiliation and support for the referendum on gay rights.

In Michael's survey data, political party affiliation is related to the support for the referendum. Further analysis and interpretation of the results are needed to understand the nature and strength of this relationship.

know more about Chi-square

https://brainly.com/question/32379532

#SPJ11

Answer:

Total cost= 99 + 2.97x

Step-by-step explanation:

Giving the following information:

Fixed cost= $99

Variable cost= 3% per person

First, we need to calculate the 3% of 99:

Unitary variable cost= 99*0.03= $2.97

Now, we establish the total cost structure:

Total cost= 99 + 2.97x

x= number of people in attendance

Finally, suppose 200 people attend the party:

Total cost= 99 + 2.97*200

Total cost= $693

Answer:

Ошйжй Щ отдйдй шубу Ц дцдць о о

Step-by-step explanation:

Answer:

Step-by-step explanation:

The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle. The length of the rectangle is 9 cm and the width is 7 cm.

Answer:

Step-by-step explanation:

Volume of prism = length * width * height  

                            = 8 1/2 *  7 * 4

                            [tex]= \frac{17}{2}*7*4\\\\=17 * 7 * 2\\\\= 238 cubic m[/tex]

The domain of the function f(x) = x² - 2x + 1 is all real numbers, which is denoted as (-∞, +∞).

To find the domain of the function f(x) = x² - 2x + 1, we determine the set of all possible values for x that make the function well-defined.

The given function is a polynomial-function, and polynomial functions are defined for all real numbers. So, the domain of f(x) = x² - 2x + 1 is the set of all real numbers, which can be represented as (-∞, +∞).

It means that any real-number can be substituted into the function, and it will give a valid output. There are no limitations on the possible values of x in this case.

Therefore, the domain is all real numbers.

Learn more about Domain here

https://brainly.com/question/25727478

#SPJ4

The given question is incomplete, the complete question is

Find the domain of the function f(x) = x² - 2x + 1.

Answer:

C and A

Step-by-step explanation:

For the triangle to be isosceles then the legs are congruent, that is

XZ = XY , substitute values

5x - 1 = 3x + 5 ( subtract 3x from both sides )

2x - 1 = 5 ( add 1 to both sides )

2x = 6 ( divide both sides by 2 )

x = 3 → C

(10)

The diagonals of a square bisect each other

Calculate PR using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2-y_{1})^2 }[/tex]

with (x₁, y₁ ) = P(0, 0) and (x₂, y₂ ) = R(6, - 8)

PR = [tex]\sqrt{(6-0)^2}+(-8-0)^2[/tex]

     = [tex]\sqrt{6^2+(-8)^2}[/tex]

     = [tex]\sqrt{36+64}[/tex]

     = [tex]\sqrt{100}[/tex]

     = 10

Then

PT = 0.5 × 10 = 5 → A