What is the median of 2,4,6,8 and 10

By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.

To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.

Let's start by graphing the constraints:

1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.

2. Plot the line -x + 3y = 6 using a similar process.

3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.

Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.

Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.

Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.

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a. The chart is prepared below.

b. At the end of 4 years, Ross still owes his parents $1,576.92.

To solve this problem, we need to calculate the balance of Ross's loan at the end of each year.

The balance for each year can be calculated by subtracting the yearly payment from the balance at the beginning of the year and adding the interest earned for the year.

The interest for each year is calculated by multiplying the balance at the beginning of the year by the annual interest rate of 3.2%.

Here are the steps for calculating the balance for each year:

Year 1:

Beginning balance = $2,500.00

Interest for the year = $2,500.00 x 0.032 = $80.00

Ending balance = $2,500.00 + $80.00 - $300.00 = $2,280.00

Year 2:

Beginning balance = $2,280.00

Interest for the year = $2,280.00 x 0.032 = $72.96

Ending balance = $2,280.00 + $72.96 - $300.00 = $2,052.96

Year 3:

Beginning balance = $2,052.96

Interest for the year = $2,052.96 x 0.032 = $65.76

Ending balance = $2,052.96 + $65.76 - $300.00 = $1,818.72

Year 4:

Beginning balance = $1,818.72

Interest for the year = $1,818.72 x 0.032 = $58.20

Ending balance = $1,818.72 + $58.20 - $300.00 = $1,576.92

Here's a table that shows the details:

Year ,principal ,Interest rate, interest, Payment ,annual owing

1 $2,500.00 $80.00 $300.00              $2,280.00

2 $2,280.00 $72.96 $300.00              $2,052.96

3 $2,052.96 $65.76 $300.00               $1,818.72

4 $1,818.72         $58.20  $300.00       $1,576.92

b. At the end of 4 years, Ross still owes his parents $1,576.92.

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Answer:

A

Step-by-step explanation:

A

Answer:

The original digit is 62

Step-by-step explanation:

Let the Tens be represented with T

Let the Units be represented with U

Given:

Unknown Two digit number

Required:

Determine the number

Since, it's a two digit number, then the number can be represented as;

\(T * 10 + U\)

From the first sentence, we have that;

\(T = 4 + U\)

\(T = 4+U\)

Interchanging the digit, we have the new digit to be \(U * 10 + T\)

So;

\((U * 10 + T) + (T * 10+ U) = 88\)

\(10U + T + 10T + U= 88\)

Collect Like Terms

\(10U + U + T + 10T = 88\)

\(11U + 11T = 88\)

Divide through by 11

\(U + T = 8\)

Recall that \(T = 4+U\)

\(U + T = 8\) becomes

\(U + 4 + U = 8\)

Collect like terms

\(U + U = 8 - 4\)

\(2U = 4\)

Divide both sides by 2

\(U = 2\)

Substitute 2 for U in \(T = 4+U\)

\(T = 4 + 2\)

\(T = 6\)

Recall that the original digit is \(T * 10 + U\)

Substitute 6 for T and 2 for U

\(T * 10 + U\)

\(6 * 10 + 2\)

\(60 + 2\)

\(62\)

Hence, the original digit is 62

Answer:

Peat's Pizza is is the one Tina should order from.

Step-by-step explanation:

If 4-pizzas from Peat's Pizza is 26 dollars, and she wants to order the 4 pizza special, Multiply 26 and 10 to get $260. Now if she wanted to order 4 times from Pizza Palace, which costs 75 dollars for 10 pizzas, Multiply the cost, 75, and the amount of times you want to order, to get the total cost. (Please tell me if I'm wrong! I'm trying to identify what I can.)

Therefore, it would take approximately 19.02 years for an investment to at least double its original amount at a semi-annual compound interest rate of 3.62%.

When an investment is made with a certain amount, the compound interest rate is used to calculate the return on investment. In addition, the number of times interest is compounded each year can have an impact on the investment's outcome.

This question asks about how long it would take for an investment to double at a semi-annual compound interest rate of 3.62%.

To solve for how long it would take for an investment to double at a semi-annual compound interest rate of 3.62%, we need to use the formula for the future value of an annuity:

Future value of an annuity = Payment (1 + r/n)^(nt)where:r is the annual interest raten is the number of times interest is compounded per year Payment is the original amount is the number of years

To solve for t, we can rearrange the formula as follows:t = log(Payment/Future value of an annuity) / log(1 + r/n)where log is the natural logarithm.

The future value of the investment is double the original amount, so we can plug in 2 for Future value of an annuity and simplify the formula to get:t = log(2) / log(1 + 0.0362/2)t = 19.02 years

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Answer: B) It is a multiplicative, because the output is equal to the input times 2.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

3+3 = 6

5+3=8

7+3=10

9+3=12

11+3=14

braniliest?

When a recipient not-for-profit entity receives a gift for transfer to another charitable entity, it records it as revenue upon receipt.

If the donor retains the right to revoke or redirect the gift, it's recognized as a "Contribution Receivable" liability until the restrictions lapse or are fulfilled. Consult accountants for proper accounting.

When a recipient not-for-profit entity receives a gift that will be transferred without restriction to another charitable entity,

The accounting treatment typically involves two steps:

Recognition on Receipt:

The recipient not-for-profit entity should recognize the gift as revenue or contribution in its financial records upon receipt.

This is because the organization has legal control and possession of the gift, even if it intends to transfer it to another charitable entity.

The accounting entry will depend on the nature of the gift received ( cash, securities, in-kind donation).

Classification as a "Contribution to be Transferred":

The second step involves classifying the received gift as a "Contribution to be Transferred" on the recipient's balance sheet.

This classification reflects that the entity intends to pass the gift along to another charitable entity

and that the funds are not restricted for use within the recipient organization.

If the donor retains the right to revoke or redirect the gift,

The recipient not-for-profit entity should follow the guidelines for recognizing contributions subject to donor restrictions.

Until the restrictions lapse or are fulfilled, the contribution should be recorded as a liability ( "Contribution Receivable").

Accounting for contributions with donor-imposed restrictions can be complex,

and the specific treatment will depend on the terms of the gift and applicable accounting standards.

It's essential for the not-for-profit organization to consult with its accountants

or financial advisors to ensure compliance with relevant accounting principles and reporting requirements.

Also, it's important to note that accounting standards and regulations may vary across different countries or regions,

so organizations should adhere to the accounting principles applicable in their specific jurisdiction.

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Answer:

5 hours

Step-by-step explanation:

Subtract the amount the accountant charged for the 1st hour worked from the total earned:

127 - 35 = 92

Now divide 92 by 23 to find the number of hours he worked at the rate of $23 per hour:

92 ÷ 23 = 4 hours

Therefore, the account worked the 1st hour plus 4 more hours = 5 hours in total

3/12 is 1/4 in its simplest form

Answer:

3 feet would cost 9 dollars

Step-by-step explanation:

The total cost of the 3 feet lace is $9 and this can be determined by using the arithmetic operations and the given data.

Given :

The following steps can be used in order to determine the total cost of the 3 feet lace:

Step 1 - The arithmetic operations can be used in order to determine the total cost of the 3 feet lace.

Step 2 - According to the given data, one foot of lace costs 3 dollars.

Step 3 - So, let the total cost of the 3 feet lace be 'a'. So, the value of 'a' can be calculated as:

\(a = 3\times 3\)

\(a = \$9\)

The total cost of the 3 feet lace is $9.

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Answer:

\( z= \frac{2.1-1.98}{0.08}= 1.5\)

And we can use the normal standard table and the complement rule and we got:

\(P(z>1.5)= 1-P(Z<1.5) =1- 0.933= 0.067 \approx 0.07\)

And the best answer would be:

C 0.07

Step-by-step explanation:

Let X the random variable who represent the amount of soda filled in large bottles and we know this:

\(\mu = 1.98, \sigma =\sqrt{0.0064}= 0.08\)

And we want to find this probability:

\( P(X> \mu +1.5 \sigma = 1.98 +1.5*0.08 =2.1)\)

And for this case we can use the z score formula given by:

\( z=\frac{X -\mu}{\sigma}\)

And replacing we got:

\( z= \frac{2.1-1.98}{0.08}= 1.5\)

And we can use the normal standard table and the complement rule and we got:

\(P(z>1.5)= 1-P(Z<1.5) =1- 0.933= 0.067 \approx 0.07\)

And the best answer would be:

C 0.07

Answer: Confounding Variable

Step-by-step explanation:

Answer: Confounding variables

Step-by-step explanation:

Took exam and got it correct

The simplified form of 7 log3x + 4 log3z - 6 log3y is log3(x^7 z^4 / y^6).

We can simplify the expression using the following logarithmic rule:

log a + log b = log ab (product rule)

log a - log b = log(a/b) (quotient rule)

c log a = log a^c (power rule)

Using these rules, we can simplify 7 log3x + 4 log3z - 6 log3y as follows:

7 log3x + 4 log3z - 6 log3y

= log3x^7 + log3z^4 - log3y^6 (using the power rule)

= log3(x^7 z^4 / y^6) (using the quotient rule)

Therefore, the simplified form of 7 log3x + 4 log3z - 6 log3y is log3(x^7 z^4 / y^6).

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You would expect to pay $90 each month for electricity based on an average usage of 120 KWHs per month.

To calculate the monthly cost of electricity, you can multiply the average number of kilowatt-hours (KWH) used per month by the cost per KWH.

Given:

Cost per KWH: $0.75

Average monthly usage: 120 KWHs

To find the monthly cost, you can multiply the cost per KWH by the average monthly usage:

Monthly Cost = Cost per KWH * Average monthly usage

Plugging in the values, we have:

Monthly Cost = $0.75/KWH * 120 KWHs

Calculating the result:

Monthly Cost = $90

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The simplified exponential expression for this problem is given as follows:

D. 1/49.

The exponential expression for this problem is defined as follows:

\(7^{-\frac{5}{6}} \times 7^{-\frac{7}{6}}\)

When two terms with the same base and different exponents are multiplied, we keep the base and add the exponents.

Hence the exponent is given as follows:

-5/6 - 7/6 = -12/6 = -2.

The negative exponent is moved to the denominator, hence:

1/7² = 1/49.

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Answer:

Step-by-step explanation:

❖Question :

\(\\\)

The length rectangle is 7.1 cm and it's breadth is 2.5 cm. Find area and perimeter.

\(\\\)

❖Given:

\(\\\)

Length of rectangle = 7.1 cm

Breadth of rectangle = 2.5 cm

\(\\\)

❖ To find:

\(\\\)

Area of rectangle

Perimeter of rectangle

\(\\\)

❖ Solution:

\(\\\)

Part 1 :‐

To find area of rectangle

\(\\\)

we know:

Area of rectangle = Length × Breadth

\(\\\)

So:-

↣Area of rectangle = Length × Breadth

\(\\\)

↣Area of rectangle = 7.1 × 2.5 (cm × cm)

\(\\\)

↣Area of rectangle = 7.1 × 2.5 cm²

\(\\\)

↣Area of rectangle =( 71 × 25 )/100cm²

\(\\\)

↣Area of rectangle =( 71 × 25 )/(25 × 4)cm²

\(\\\)

↣Area of rectangle =( 71 × 1)/(1 × 4)cm²

\(\\\)

↣Area of rectangle = 71/4cm²

\(\\\)

↣Area of rectangle = 17.75 cm²

\(\\\)

Part 2 :‐

Part 2 :‐To find perimeter of rectangle

\(\\\)

we know:

Perimeter of rectangle =2( Length + Breadth )

\(\\\)

So:-

\(\\\)

↣Perimeter of rectangle =2( Length + Breadth )

\(\\\)

↣Perimeter of rectangle =2( 7.1 + 2.5 )cm

\(\\\)

↣Perimeter of rectangle =2( 9.6) cm

\(\\\)

↣Perimeter of rectangle =2 × 9.6 cm

\(\\\)

↣Perimeter of rectangle = 19.6 cm

\(\\\)

━━━━━━━━━━━━━━━━

\( \\\)

✎ᝰ Cheers! all done :)

Answer:

Step-by-step explanation:

In the question we're given ,

And we are asked to find ,

We know that ,

\( \longmapsto \: \pink{\boxed{\sf{Area \: of \: rectangle = l \times b}}} \)

Where ,

So substituting values :

\( \hookrightarrow \: 7.1 \times 2.5\)

Multiplying 7.1 and 2.5 :

\( \hookrightarrow \: \blue{\boxed{ \bold{17.75 \: cm {}^{2} }}}\)

We know that ,

\( \longmapsto \: \pink{\boxed{ \sf{Perimeter \: of \: rectangle = 2 ( l + b )}}}\)

Where ,

So substituting values :

\( \hookrightarrow \: 2(7.1 + 2.5)\)

Solving parenthesis by adding 7.1 and 2.5 :

\( \hookrightarrow \: 2(9.6)\)

Multiplying 2 and 9.6 :

\( \hookrightarrow \: \blue{\boxed{\bold{19.2 \: cm}}}\)

Answer:

1) \(\sqrt{53}(\cos286^\circ+i\sin286^\circ)\)

2) \(\displaystyle 5,-\frac{5}{2}+\frac{5\sqrt{3}}{2}i,-\frac{5}{2}-\frac{5\sqrt{3}}{2}i\)

Step-by-step explanation:

Problem 1

\(z=2-7i\\\\r=\sqrt{a^2+b^2}=\sqrt{2^2+(-7)^2}=\sqrt{4+49}=\sqrt{53}\\\\\theta=\tan^{-1}(\frac{y}{x})=\tan^{-1}(\frac{-7}{2})\approx-74^\circ=360^\circ-74^\circ=286^\circ\\\\z=r\,(\cos\theta+i\sin\theta)=\sqrt{53}(\cos286^\circ+i\sin 286^\circ)\)

Problem 2

\(\displaystyle z^\frac{1}{n}=r^\frac{1}{n}\biggr[\text{cis}\biggr(\frac{\theta+2k\pi}{n}\biggr)\biggr]\,\,\,\,\,\,\,k=0,1,2,3,\,...\,,n-1\\\\z^\frac{1}{3}=125^\frac{1}{3}\biggr[\text{cis}\biggr(\frac{0+2(2)\pi}{3}\biggr)\biggr]=5\,\text{cis}\biggr(\frac{4\pi}{3}\biggr)=5\biggr(-\frac{1}{2}-\frac{\sqrt{3}}{2}i\biggr)=-\frac{5}{2}-\frac{5\sqrt{3}}{2}i\)

\(\displaystyle z^\frac{1}{3}=125^\frac{1}{3}\biggr[\text{cis}\biggr(\frac{0+2(1)\pi}{3}\biggr)\biggr]=5\,\text{cis}\biggr(\frac{2\pi}{3}\biggr)=5\biggr(-\frac{1}{2}+\frac{\sqrt{3}}{2}i\biggr)=-\frac{5}{2}+\frac{5\sqrt{3}}{2}i\)

\(\displaystyle z^\frac{1}{3}=125^\frac{1}{3}\biggr[\text{cis}\biggr(\frac{0+2(0)\pi}{3}\biggr)\biggr]=5\,\text{cis}(0)=5(1+0i)=5\)

Note that \(\text{cis}\,\theta=\cos\theta+i\sin\theta\) and \(125=125(\cos0^\circ+i\sin0^\circ)\)

Answer:

0.009

Step-by-step explanation:

the value of the 3 in 10.31 is 0.3. The value of the 3 in 10.13 is 0.03. 0.3 * 0.03 = 0.009.

pls give brainliest

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The value of 3 in 10.31 is 0.1 times as much as the value of 3 in 10.13.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

10.31 and 10.13.

In 10.31, the value of 3 is in tenths place value.

i.e 0.3

In 10.13, the value of 3 is in hundreths place value.

i.e 0.03

We see that,

0.3 x 0.1 = 0 .03

So,

The value of 3 in 10.31 is 0.1 times as much as the value of 3 in 10.13.

Thus,

The value of 3 in 10.31 is 0.1 times as much as the value of 3 in 10.13.

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Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.

Answer:

if f(-4) = -31

then

f(-2) = -7

f(0) = 1

f(1) = -1

f(3) = -17

Step-by-step explanation:

You have to replace the x of the f(x) equation with said number in the left column. Then plug it into your calculator and your golden :]

f(x) = -2x²+1

= -2(-4)²+1

= -32+1

f(x) = -2x²+1

= -2(-2)²+1

= -2(4)+1

= -8+1

f(x) = -2x²+1

= -2(0)²+1

= -2(0)+1

= 0+1

f(x) = -2x²+1

= -2(1)²+1

= -2(1)+1

= -2+1

f(x) = -2x²+1

= -2(3)²+1

= -2(9)+1

= -18+1

9514 1404 393

Answer:

  x = 2/3

Step-by-step explanation:

The approach usually recommended for almost any problem involving fractions is to "clear fractions" first. Here, that means multiplying both sides of the equation by 2x (the least common denominator). After that, divide both sides by the coefficient of x.

  \(\dfrac{2}{x}=\dfrac{6}{2}\qquad\text{given}\\\\\dfrac{(2x)(2)}{x}=\dfrac{(2x)(6)}{2}\qquad\text{multiply by $2x$}\\\\4=6x\qquad\text{simplify}\\\\\dfrac{4}{6}=x\qquad\text{divide by 6}\\\\\boxed{x=\dfrac{2}{3}}\qquad\text{reduce the fraction}\)

__

After you have done this a few times, you recognize that the process involves multiplying the original equation by 2x/6 = x/3. This is x times the reciprocal of the constant term on the right. You can "cut to the chase" and do multiplication of both sides by x/3 as your first step:

  \(\dfrac{2}{x}\cdot\dfrac{x}{3}=\dfrac{6}{2}\cdot\dfrac{x}{3}\qquad\text{multiply the given equation by $\dfrac{x}{3}$}\\\\\dfrac{2}{3}=x\qquad\text{simplify}\)

The experimental probability of choosing a student who walks to school is given by 0.15625 or 15.625%.

Given data ,

The experimental probability of choosing a student who walks to school can be calculated by dividing the number of students who walk to school by the total number of students in Joe's class.

Number of students who walk to school = 5

Total number of students in the class = 32

Experimental probability = Number of students who walk to school / Total number of students

= 5 / 32

P = 0.15625

Hence , the experimental probability of choosing a student who walks is 0.15625 or 15.625%.

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Answer:

Angle f= 66

DE=10

Step-by-step explanation:

So first I think it's an isosceles triangle to 2 sides will have the same length.

For the angle I added 90 and 24 and subtracted them from 180.

ANSWER

• Distance when the motion began:, 4 cm

• Period: ,2π/3 sec

• Distance at t = 4.5 s:, 2.38 cm

EXPLANATION

When the motion begins, we usually set t = 0,

Hence, when the motion began, the pendulum was at 4 centimeters from the resting position.

The period of a sine or cosine function is given by 2π divided by the coefficient of t,

Hence, the period of the pendulum's motion is 2π/3 seconds.

Now, we have to find d(4.5) - remember to use your calculator in radians for this problem,

Hence, after 4.5 seconds the pendulum is at 2.38 centimeters from the resting position.