Pedro, Juan y Diego son un grupo de alpinistas que realizan una expedición al monte Everest.
Transcurrida 1 semana llegan a la cima, y en ella se encuentran con 3 supervivientes de una
fallida expedición, quienes les piden ayuda, ya que el día anterior una avalancha arrasó con su
campamento base y perdieron todas sus raciones alimenticias.
Pedro, Juan y Diego cuentan la cantidad de raciones alimenticias de que dispone cada uno
en sus mochilas. Pedro dispone de 3/4 raciones, Juan de 1½ y Diego de 172) Deciden que la única
solución será compartir en forma equitativa las raciones con los 3 supervivientes, para que así
todos juntos puedan sobrevivir el viaje de regreso.
Al regresar a la civilización, los 3 supervivientes se despiden de Pedro, Juan y Diego y les dan
como recompensa $900.000 en señal de agradecimiento por la parte de las raciones que ellos
comieron.
¿Cómo repartir la recompensa de una manera que refleje la ayuda dada?

Answer:

C

Step-by-step explanation:

the degree of a polynomial is the value of the largest exponent of the variable within the expression.

3x³ + 9x² - x - 10

the term 3x³ has the largest exponent in the expression

the polynomial is therefore of degree 3

Answer:

27.

Step-by-step explanation:

9 / 1/3

= 9 * 3/1

= 9 * 3

= 27.

Exact Form: 28 /3

Decimal Form: 9.  333

First keep the denominator how it is.

To get the the numerator multiply the 9 by the denominator which is 3 so you will get 27. Then add the numerator which is 1 to 27 so you will get 28.

So the answer is 28/3 in exact form. To convert it to decimal form you just multiply 28 by 3.

The revenue equation is given by:

R = –360p^2 + 28,800p

To find the maximum revenue that can be expected, we need to find the vertex of the parabola represented by this equation. The vertex of a parabola is given by the formula:

Vertex = (-b/2a, f(-b/2a))

where a, b, and c are the coefficients of the quadratic equation ax^2 + bx + c = 0.

In this case, a = -360 and b = 28,800.

The x-coordinate of the vertex is given by:

x = -b/2a = -28,800/(2*(-360)) = 40

Substituting x = 40 into the revenue equation gives:

R = –360(40)^2 + 28,800(40) = 576,000

Therefore, the maximum revenue that can be expected is $576,000.

Again let me know what other ones you need help with

The equation of the function passing through the given point is

y = -8x -1

The equation of a line in point-slope form is expressed as:

\(y-y_0=m(x-x_0)\)

m is the slope

\((x_0,y_0)\) is the point on the line

Given the equation \(y=2x^2-4x+1\)

Get the slope by differentiating at x = -1

\(m=\frac{dy}{dx} =4x-4\\m=\frac{dy}{dx} =4(-1)-4\\m=\frac{dy}{dx} =-4-4\\m=\frac{dy}{dx} =-8\)

Substitute (-1, 7) and m = -8 into the formula above to have \(y-7=-8(x+1)\)

Simplify

\(y-7=-8x-8\\y+8x = -8+7\\y+8x=-1\\y=-8x-1\)

Hence the equation of the function passing through the given point is

y = -8x -1

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The Circle Sector Area correct answer is: O n(30in)2

To calculate the area of the sector in the circle, you would typically use the formula:

Area = (θ/360) * π *\(r^2\)

where θ is the angle of the sector in degrees, π is a mathematical constant approximately equal to 3.14159, and r is the radius of the circle.

From the options you provided, the correct choice would be:

O n(30in)2

This option represents the square of the radius (30in) squared, which gives you the value of \(r^2.\)

Therefore, the Circle Sector Area correct answer is: O n(30in)2

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Answer:

20 Aug 2019 — By the way, to “find” a point means to find its coordinates. Can points equidistant from A and B be found in every quadrant? 16. The two-part ...

109 pages

Step-by-step explanation:

20 Aug 2019 — By the way, to “find” a point means to find its coordinates. Can points equidistant from A and B be found in every quadrant? 16. The two-part ...

109 pages

The required value of the given integral \(\int\limits_C xydx+x^2y^3dy\) and vertices (0, 0), (1, 0), and (1, 4) by both direct and Green's theorem method is 20.  

The integral of a function over a line or curve is known as a line integral. First, we have to determine the limit of the integral using the given vertices.

\(\mathrm{C_1:(0,0)\;to\;(1,0): r_1(t)=ti\;\;\ 0 \geq t\geq1}\\\mathrm{C_2: (1,0)\;to\;(1,4): r_2 (t) = i+4tj\;\;\ 0 \geq t\geq1}\\\mathrm{C_3: (1,4)\;to\;(0,0):r_3 (t) = (1-t)i+(4-4t)j\;\;\; 0\geq t\geq1}\)

Then, the required direct line integral is,

\(\begin{aligned}\int\limits_C xydx+x^2y^3dy&=\int\limits^1_0 (t)(0)(1)+t^2(0)^3(0)dt\\&+\int\limits^1_0(1)(4t)(0)+1^2(4t)^3(4)dt\\&+\int\limits^1_0 (1-t)(4-4t)(-1) +(1-t)^2 (4 - 4 t )^3 (-4) dt \\&=\int\limits^1_0 256t^3dt+\int\limits^1_0 -4(1-t)^2-256(1-t)^5dt\\&=64-\frac{4}{3}-\frac{128}{3}\\&=20\end{aligned}\)

b) A simple link between the macroscopic circulation around curve C and the total amount of the microscopic circulation that is inside C is known as Green's theorem. A line integral can occasionally be converted into a double integral using Green's theorem, and the reverse is also sometimes true. By Green's theorem, \(\oint Mdx+Ndy= \iint_R \frac{\partial N}{\partial x}-\frac{\partial M}{\partial y} dA\)

Then, the required line integral using Green's theorem,

\(\begin{aligned}\oint xydx+x^2y^3dy&=\int\limits^1_0 \int\limits^{4x}_0(2xy^3-x) dydx\\&=\int\limits^1_0 \left[\frac{xy^4}{2}-xy \right]^{4x}_0dx\\&=\int\limits^1_0 (128x^5-4x^2)dx\\&=\left[\frac{64x^6}{3}-\frac{4x^3}{3}\right]^1_0\\&=20\end{aligned}\)

The required answer obtained by both direct and Green's theorem method is 20.

The complete question -

Evaluate the line integral by the two following methods.

\(\int\limits_C xydx+x^2y^3dy\) C is counterclockwise around the triangle with vertices (0, 0), (1, 0), and (1, 4).

(a) directly

(b) using Green's Theorem

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Answer:

Minimum=60

First Quartile(Q1)=79

Median=86

Third Quartile (Q3)=89

Interquartile range (IQR)=10

The central angle is approximately 2.357 radians.

To find the central angle, we can use the formula:

Central angle (θ) = arc length ÷ radius

Given:

Arc length (mXY) = 18 in

Radius (ZY) = 7.64 in

Plugging in the values:

Central angle (θ) = 18 in ÷ 7.64 in

Calculating the division:

θ ≈ 2.357 radians

Therefore, the central angle is approximately 2.357 radians.

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Answer:B

Step-by-step explanation:

Because, if the width of the frame is x inches this is the total of this frame and artwork. so the answer is B.

Do you choose best?

There are 2322432 coupons generated .

According to the question we have been given that the code contains one digit followed by four letters . That is it can be assumed as

                         code = D L L L L   where D and L represent the digits and letters.

Now total digits we have is  = 7

       total number of letters we have = 24

So we have to choose the first digit from these 7 digits. Thus there are 7 ways in which we can choose as they are repeated.

Also there are 24 ways to select the 4 letters after the digits as the letters are being repeated, that is ways =   24⁴

Therefore the number of coupons that can be generated from the combination are :

                                7*24⁴ = 7*331776

                                          = 2322432

Hence the number of coupons generated are 2322432.

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When you compare two or more data sets, focus on four features:

Center. Graphically, the center of a distribution is the point where about half of the observations are on either side.

Spread. The spread of a distribution refers to the variability of the data. ...

Shape. ...

Unusual features.

Answer:

Common graphical displays (e.g., dotplots, boxplots, stemplots, bar charts) can be effective tools for comparing data from two or more data sets.

Step-by-step explanation:

MARK ME AS A BRAINLIST PLZ

Answer:

look below                                !

Step-by-step explanation:

Step 1:Identify the denominator of the rational function and set it equal to 0.

Step 2: Find the zeros of the denominator by solving the equation in Step 1.

Step 3: Start with the interval (−∞,∞) and remove the zeros from the interval.

Answer:

$562.50

Step-by-step explanation:

6% of the first $2,000 is $120

8% of the next $3,000 is $240

9% of the rest of the $2,250 is $202.50

Add all of it together any you have $562.50

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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Using the information in the given diagram, the value of the missing angle is: m∠1 = 75°

The transverse line theorem states that If two parallel lines are cut by a transversal, then corresponding angles are congruent. Two lines cut by a transversal are parallel IF AND ONLY IF corresponding angles are congruent.

Now, when we draw a horizontal line parallel to lines a and b and directly cutting across the vertex of angle 1, we can see that angle 1 will be composed of two angles.

Now, for the transverse line theorem we can say that:

Angle 1 will be composed of two angles namely:

48 degrees and (180 - 153) degrees.

Thus:

m∠1 = 48° + 27°

m∠1 = 75°

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9.  The stamp duty payable on a property with a purchase price of K45,000 is K1,350.

10. The stamp duty payable on a property with a purchase price of K150,000 is K7,500.

To calculate the stamp duty payable on properties with a purchase price of K45,000 and K150,000, we need to apply the corresponding rates of stamp duty based on the given information.

Given:

Value of Property:

Up to K35,000: Stamp Duty Rate - 2%

K35,000 to K70,000: Stamp Duty Rate - 3%

K70,000 to K140,000: Stamp Duty Rate - 4%

Over K140,000: Stamp Duty Rate - 5%

9. Calculate the stamp duty payable on properties whose purchase price is K45,000:

Since the purchase price of K45,000 falls within the range of K35,000 to K70,000, the stamp duty rate applicable is 3%.

Stamp Duty Payable = Purchase Price * Stamp Duty Rate

= K45,000 * 3%

= K45,000 * 0.03

= K1,350

Therefore, the stamp duty payable on a property with a purchase price of K45,000 is K1,350.

10. Calculate the stamp duty payable on properties whose purchase price is K150,000:

Since the purchase price of K150,000 is above K140,000, the stamp duty rate applicable is 5%.

Stamp Duty Payable = Purchase Price * Stamp Duty Rate

= K150,000 * 5%

= K150,000 * 0.05

= K7,500

Therefore, the stamp duty payable on a property with a purchase price of K150,000 is K7,500.

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The ratio between each pair of values is:

Yes, because all of the pairs represent the same ratio

The number of words Gillan can read in 1 minute is,  165

A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, while the divisor or number that is dividing is referred to as the consequent.

Given that,

Gillan read 3,135 words in 19 minutes

The number of words read each minute = w

Now, it has given,

Total words = 3135

Time taken = 19 minutes

For words per minute,

we need to take ratio of total words and total time taken,

Ratio =  Total words/Time taken

         =   3135/19

         =   165

Hence, the number of words in 1 minute is 165

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Answer:

three reasons why knowing your money personality will benefit you?

Step-by-step explanation:

- it will satisfy your lifelong needs.

- build a better personality and influence to those who isn't as wealthy as you.

- overall, learn to spend and manage your money more wisely.

Answer:

Answer:

three reasons why knowing your money personality will benefit you?

Step-by-step explanation:

- it will satisfy your lifelong needs.

- build a better personality and influence to those who isn't as wealthy as you.

- overall, learn to spend and manage your money more wisely.

Step-by-step explanation:

Answer:

The first box : -4  the second one : 6

Step-by-step explanation:

subtract 7 from 3 for the first box, then add 10 to -4 for the second one.

Answer:

80 degrees

Step-by-step explanatibecause its congruent to a suplementary angle

Answer:

Step-by-step explanation:

Use the Quadratic Formula.

-x² - 4x + 16 = 0

x = [4±√(4²-4(-1)(16)]/[2(-1)] = [4±√80]/(-2) = [4±4√5]/(-2) = -2±2√5

Answer:  5

Step-by-step explanation:

3(2x-3)=21

6x-9=21

6x=30

x=5

Answer:

B

Step-by-step explanation:

60+15w≥115

-60      -60

15w≥55

w≥4  

60+15(4)≥115

60+60≥115

The pressure by the statue exerted on the floor will be 1200 N per square meter.

The term pressure is defined as the force per unit area.

The formula is igven below.

P = F /A

A bronze statue weighs 2400 N and has a base that is 4 m by ½ m.

Then the base area will be

A = 4 x 1/2

A = 2 square meters

Then the pressure will be

P = 2400 / 2

P = 1200 N per square meter.

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