Janice is painting a portion of a gymnasium court. If Janice paints the shaded area, then how many square feet will she paint?



16ft and 40ft

a.378.6ft
b.861.7ft
c.439.04ft
d.527.58ft​

Therefore, the package with 40 hooks is the better buy in terms of cost efficiency.

To determine which package is the better buy, we need to compare the cost per hook for each package.

For the package of 25 hooks costing $9.95, we divide the total cost by the number of hooks:

Cost per hook = $9.95 / 25 = $0.398

Rounding to the nearest cent, the cost per hook is $0.40.

For the package of 40 hooks costing $13.99, we divide the total cost by the number of hooks:

Cost per hook = $13.99 / 40 = $0.3498

Rounding to the nearest cent, the cost per hook is $0.35.

Comparing the two costs per hook, we can see that the package with 40 hooks for $13.99 offers a better deal, as the cost per hook is lower at $0.35.

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Using the Divergence Theorem, we get the flux of F across the closed surface S is π/2 (27√2 - 27).

To apply the Divergence Theorem, we will first compute the divergence of F as follows -

div(F) = ∂Fx/∂x + ∂Fy/∂y + ∂Fz/∂z

= 1 + 1 + 1

= 3

Now we will calculate the flux of F across the closed surface S that completely surrounds T. By the Divergence Theorem, this is equal to the triple integral of the divergence of F over the region T and is given by -

∫∫S F•n dS = ∭T div(F) dV

We can describe the region T using cylindrical coordinates:

0 ≤ r ≤ 2

-π/2 ≤ θ ≤ π/2

0 ≤ z ≤ √(9 - r sin θ)

The bounds on r and θ come from the fact that the half cylinder is contained within the plane x = 2, and the plane y = ±3. The bounds on z come from the equation of the half cylinder.

Now we can write the triple integral as follows -

∭T div(F) dV = ∫0^2 ∫-π/2^π/2 ∫0^√(9 - r sin θ) 3 r dz dθ dr

Evaluating this integral, we get,

∭T div(F) dV = π/2 (27√2 - 27)

Therefore, the flux of F across the closed surface S is π/2 (27√2 - 27).

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The correct equation of the circle with center (0,0) that passes through the point (-6,-6) is:

(x + 6)² + (y + 6)² = 72

Please note that the equation represents the circle with center (0,0) and radius √72.\(\)

Answer:

The equation of a circle with center (0,0) that passes through the point (-6,-6) is:

(x - 0)² + (y - 0)² = r²

where r is the radius of the circle. Since the center of the circle is (0,0), we can use the distance formula to find the radius:

r = √(0 - (-6))² + (0 - (-6))² = √(6² + 6²) = √72

Therefore, the equation of the circle is:

x² + y² = 72

By solving equation 14x⁴y⁷/6x⁵y⁴ we got by dividing 7y³/3x.

Given that,

We have to solve equation 14x⁴y⁷/6x⁵y⁴

By the division it's fairly simple to divide variables in an algebraic equation. Every variable is taken into account separately. The reduction of the number coefficients is identical to that of simple fractions. The issue is expressed as a fraction when variables are divided. The numbers are then divided and reduced by finding the greatest common factor. The powers are subtracted after dividing identical variables according to the exponentiation principles.

We 1st divide 14/6=7/3

We get 7x⁴y⁷/3x⁵y⁴

Now divide x⁴/x⁵=1/x

We get 7y⁷/3xy⁴

Now divide y⁷/y⁴=y³

We get 7y³/3x

Therefore by solving equation 14x⁴y⁷/6x⁵y⁴ we got  7y³/3x.

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Answer:

Step-by-step explanation:

Rewrite the expression y^2/3 as a radical expression.

if n is a positive integer that is greater than x and a is a real number or a factor, then aˣ/ⁿ = \(\sqrt[n]{a^x}\)

use the rule to convert y²/₃ to a radical

where a =, x =, and n =.

therefore, the radical expression is \(\sqrt[3]{y^2}\)

45 represents the slope while -900 is the y-intercept of the function

Here, we want to write the slope and y-intercept of the function that represents Patrick's elevation during his climbing

From the question, we are told that he averaged an elevation of 45 meters per hour

What the slope basically does is to measure a rate of change. As we can see from here, the change represents a rate and thus, we have this as our slope

To get the y-intercept of the function, we can see this as a distance of -900 meters

The reason for this is that we can see the summit of the mountain as 0 m

So we can represent the equation as;

Answer:e

Step-by-step explanation:

-(5/3)=-5/3

The graph of the equation y = -0.5x + 12 will be a straight line

The equation y = -0.5x + 12 represents a linear function

Based on the slope -0.5 this means that as the value of x increases, the value of y will decrease.

Additionally, since the y-intercept is 12, the line will cross the y-axis at the point (0, 12).

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The numbers ordered from the greatest to the least is

4

15/5

0.5

-1/5

-1.2

-49

From the given question, we are to order the given numbers from the greatest to least.

The given numbers are

-49

-1/5

0.5

4

-1.2

15/5

First, we will convert the fractions to decimal or whole number

-1/5 = -0.2

15/5 = 3

Now, we will order the numbers from the greatest to the least

4 > 3 > 0.5 > -0.2 > -1.2 > -49

That is,

4 > 15/5 > 0.5 > -1/5 > -1.2 > -49

Hence, the numbers ordered from the greatest to the least is

4

15/5

0.5

-1/5

-1.2

-49

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All work and answers are provided in the attached screenshot! :)

Have a great day! :)

I. The solution to the system of equations using Gaussian elimination is x = 1, y = -1, and z = 2.

II. For the LU-decomposition method, we need to have a square coefficient matrix, which is not the case in the given system. Therefore, we cannot directly apply the LU-decomposition method.

III. For this method to converge, the coefficient matrix must be diagonally dominant, which is not the case in the given system. Therefore, the Gauss-Jacobi method cannot be directly applied either.

IV. It requires the coefficient matrix to be diagonally dominant, which is not satisfied in the given system. Hence, the Gauss-Seidel method cannot be directly used.

I. Gaussian Elimination Method:

To solve the system of linear equations using Gaussian elimination, we perform row operations to reduce the system into upper triangular form. The augmented matrix for the given system is:

| 6 2 -1 | 4 |

| 1 5 1 | 3 |

| 2 1 4 |27 |

We can start by eliminating the coefficients below the first element in the first column. To do this, we multiply the first row by a suitable factor and subtract it from the second and third rows to eliminate the x coefficient below the first row. Then, we proceed to eliminate the x coefficient below the second row, and so on.

After performing the necessary row operations, we obtain the following reduced row-echelon form:

| 6 2 -1 | 4 |

| 0 4 2 | -1 |

| 0 0 3 | 6 |

From this form, we can easily back-substitute to find the values of x, y, and z. We have z = 2, y = -1, and x = 1.

II. LU-Decomposition Method:

LU-decomposition is a method that decomposes a square matrix into a product of two matrices, L and U, where L is lower triangular and U is upper triangular.

III. Gauss-Jacobi Method:

The Gauss-Jacobi method is an iterative numerical method to solve systems of linear equations.

IV. Gauss-Seidel Method:

Similar to the Gauss-Jacobi method, the Gauss-Seidel method is an iterative method for solving linear systems.

Therefore, out of the four methods mentioned, only the Gaussian elimination method can be used to solve the given system of linear equations.

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The range of the equation f(x) = 3ˣ ⁻ ¹ - 2 is  y > -2

From the question, we have the following parameters that can be used in our computation:

f(x) = 3ˣ ⁻ ¹ - 2

The above equation is an exponential function

The rule of an exponential function is that

In this case, it is -2

So, the range is y > -2

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Ending Inventory Cost and Cost of Goods Sold using different inventory methods:

FIFO Method:

Ending Inventory Cost: $11,920

Cost of Goods Sold: $15,068

LIFO Method:

Ending Inventory Cost: $11,996

Cost of Goods Sold: $15,123

Weighted Average Cost Method:

Ending Inventory Cost: $11,974

Cost of Goods Sold: $15,087

Using the FIFO (First-In, First-Out) method, the cost of the ending inventory is determined by assuming that the oldest units (those acquired first) are sold last. In this case, the cost of the ending inventory is calculated by taking the cost of the most recent purchases (70 units at $142 per unit) plus the cost of the remaining 10 units from the March 10 purchase.

This totals to $11,920. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory at $124 per unit, 60 units from the March 10 purchase at $132 per unit, and 20 units from the August 30 purchase at $138 per unit), which totals to $15,068.

Using the LIFO (Last-In, First-Out) method, the cost of the ending inventory is determined by assuming that the most recent units (those acquired last) are sold first. In this case, the cost of the ending inventory is calculated by taking the cost of the remaining 10 units from the December 12 purchase, which amounts to $1,420, plus the cost of the 70 units from the August 30 purchase, which amounts to $10,576.

This totals to $11,996. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory, 60 units from the March 10 purchase, and 20 units from the August 30 purchase), which totals to $15,123.

Using the Weighted Average Cost method, the cost of the ending inventory is determined by calculating the weighted average cost per unit based on all the purchases. In this case, the total cost of all the purchases is $46,360, and the total number of units is 200.

Therefore, the weighted average cost per unit is $231.80. Multiplying this by the 80 units in the physical inventory at December 31 gives a total cost of $11,974 for the ending inventory. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory, 60 units from the March 10 purchase, and 20 units from the August 30 purchase), which totals to $15,087.

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Answer:

jajajajjajajajjajajajjajajb mucho men

Step-by-step explanation:

f

f

f

Answer:

c = 0.95*p

Step-by-step explanation:

With p representing the number of pounds purchased, and each pound costing 0.95, the total cost c can be found by multiplying the cost per pound by the total number of pounds. Simply put, total cost = 0.95 * total pounds.

HOPE THIS HELPS!!

Answer:

120

Step-by-step explanation:

First you do the question in the paretheses.

12 + 12 = 24

5 x 24 = 120

Answer:120

Step-by-step explanation:

The measure of the complement of a 1-degree angle is 89 degrees.

The complement of an angle is defined as the angle that, when added to the given angle, results in a sum of 90 degrees. To find the measure of the complement of a 1-degree angle, we need to determine the angle that, when added to 1 degree, equals 90 degrees.

Let's denote the measure of the complement as x degrees. According to the definition, we can set up the equation:

1 degree + x degrees = 90 degrees.

To solve for x, we need to isolate it on one side of the equation. By subtracting 1 degree from both sides, we have:

x degrees = 90 degrees - 1 degree.

Simplifying the right side, we get:

x degrees = 89 degrees.

In summary, when an angle measures 1 degree, its complement measures 89 degrees. Complementary angles are pairs of angles that add up to 90 degrees. In this case, since the given angle measures only 1 degree, its complement is significantly larger, nearly forming a right angle. The concept of complementary angles is fundamental in geometry and can be applied to various problems involving angles and their relationships.

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Answer:

Step-by-step explanation:

step 1

100%/the total number = percent for one probability

100/5 = 20%

2 and 4 is even.

total even number * percent for one probability = total percent for even number

20% * 2 = 40%

therefore total even number is 40%

The probability is:

Step-by-step explanation:

Remember the formula for probability:

\(\boxed{\!\!\boxed{\bold{Probability=\frac{Favourable~outcome}{total~outcomes}\quad}}\!\!}\)

In this case, the favourable outcome (an even number) is 2, because there are only 2 even numbers in the set.

As for the total outcomes, there are 5 of them, because we have 5 numbers total.

So the probability of choosing an even number is 2/5.

By completing the square, the vertex form of quadratic equation is (x - 1)² - 3.

In this question we find a quadratic equation in standard form, which must be modified into vertex form by completing the square, which consists in modifying part of the equation into a perfect square trinomial. The vertex form of the quadratic equation is:

y = C · (x - h)² + k

First, write the polynomial in standard form:

x² - 2 · x - 2

Second, use algebra properties to expand the expression:

(x² - 2 · x - 2) + 0

(x² - 2 · x - 2) + 3 - 3

(x² - 2 · x + 1) - 3

Third, use the definition of perfect square trinomial:

(x - 1)² - 3

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Answer:

hello i am new to brainly. i am new to this app im just trynna figure this app

Step-by-step explanation:

Answer:

Step-by-step explanation:

The volume fomula of cylinder

Given

Substitute the values into formula, considering d = 2r, solve for h

The height is approximately 12 inches

Answer:

12 inches

Step-by-step explanation:

The vase can be modeled as a cylinder.

Volume of cylinder

\(\sf V= \pi r^2 h\)

where:

Given:

Substitute the given values into the formula and solve for h:

\(\begin{aligned}\sf V & = \sf \pi r^2 h\\\\\implies \sf 763 & = \sf \pi (4.5)^2 h\\\\\sf h & = \sf \dfrac{763}{\pi (4.5)^2}\\\\\sf h & = \sf 11.99360213...\end{aligned}\)

Therefore, the height of the vase is 12 inches (to the nearest inch).

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Answer:

Mean =\(\sum x P(x) = 36.86\)

Standard deviation =\(\sum x^2P(X)=1360.9\)

Step-by-step explanation:

x          P(x) \(x \times P(x)\)       \(x^2 \times P(x)\)

33         0.02     0.66          21.78

34          0.06     2.04         69.36

35           0.1      3.5        122.5

36           0.2      7.2         259.2

37           0.24     8.88        328.56

38           0.26     9.88        375.44

39            0.1     3.9         152.1

40            0.02     0.8         32

             1        36.86      1360.9

We are supposed to find mean and standard deviation

Mean =\(\sum x P(x) = 36.86\)

Standard deviation =\(\sum x^2P(X)=1360.9\)

please don't know what to do 3about I am going through the silence of my own thoughts on this you will be able and my brother to make the world but you will not come to Nepa with you and say you will come in your house is like the one of your daughters of God in your heart to 8be to make the Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.

a) The probability that the homeowner will get less than $260,000 if he leaves the house on the market for another month is equal to the area under the probability density function (PDF) of the uniform distribution from $245,000$ to $260,000$. Since the distribution is uniform, the PDF is constant over the interval of interest, and its value is $\frac{1}{270000-245000}=\frac{1}{25000}$. Therefore, the probability is:

�

(

selling price

<

260

,

000

)

=

260

,

000

−

245

,

000

25

,

000

=

0.6

P(selling price<260,000)=

25,000

260,000−245,000

​

=0.6

b) Similarly, the probability that the homeowner will get more than $260,000$ if he leaves the house on the market for another month is equal to the area under the PDF of the uniform distribution from $260,000$ to $270,000$. Therefore, the probability is:

�

(

selling price

>

260

,

000

)

=

270

,

000

−

260

,

000

25

,

000

=

0.4

P(selling price>260,000)=

25,000

270,000−260,000

​

=0.4

c) The probabilities calculated in parts a) and b) provide a way to assess the risk and potential benefit of leaving the house on the market for another month. If the homeowner is risk-averse and prefers a certain outcome, then he should take the $260,000 offer, since the probability of getting less than $260,000 is higher than the probability of getting more. On the other hand, if the homeowner is willing to take a risk for the potential benefit of a higher selling price, then he should leave the house on the market for another month. Ultimately, the decision will depend on the homeowner's risk preferences and other personal circumstances.

Answer:

The price would go down as people would be more willing to buy cheaper potatoes and the producers would want to sell them for a lower price to get rid of them easy and fast.

Step-by-step explanation:

Hope this helps you :)

Answer:

I THINK that it is 10 hours

Step-by-step explanation:

(Sorry if I am wrong)

25% = 1/4 SO 8 divided by 4 = 2

Since they watched 25% MORE you add 2 to 8 and get 10

The binomial theorem states that: \((x + y)^n = \sum_{k=0}^n{n\choose k} x^{n-k}y^k\). So, the binomial expansion of (2x - 3y)⁵ is: \(32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5\).

Now, let's use the Binomial Theorem to find the binomial expansion of (2x - 3y)⁵. We will have to find the coefficients for each term. So, let's get started. n = 5x = 2xy = -3[nCr = n! / (r! * (n-r)!)]

Term k = 0: \( {5 \choose 0} (2x)^5 (-3y)^0\) = 32x⁵

Term k = 1: \({5 \choose 1} (2x)^4 (-3y)^1\) = -240x⁴y

Term k = 2: \({5 \choose 2} (2x)^3 (-3y)^2\) = 720x³y²

Term k = 3: \({5 \choose 3} (2x)^2 (-3y)^3\) = -1080x²y³

Term k = 4: \({5 \choose 4} (2x)^1 (-3y)^4\) = 810xy⁴

Term k = 5: \({5 \choose 5} (2x)^0 (-3y)^5\) = -243y⁵

Now we can combine all of these terms to form the binomial expansion of (2x - 3y)⁵:\((2x - 3y)^5 = 32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5\)

Therefore, the binomial expansion of (2x - 3y)⁵ is: \(32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5\).

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The requried population increased by approximately 60.53%.

To find the absolute increase, we subtract the initial population from the final population:

Absolute increase = Final population - Initial population

Absolute increase = 6100 - 3800

Absolute increase = 2300

Therefore, the population increased by 2300 people.

To find the relative increase, we first calculate the percent change:

Percent change = (New value - Old value) / Old value x 100%

Percent change = (6100 - 3800) / 3800 x 100%

Percent change = 2300 / 3800 x 100%

Percent change = 60.53%

Therefore, the population increased by approximately 60.53%.

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Answer:

a) test statistic = 2.12

b) p-value = 0.017

c) we reject the Null hypothesis

Step-by-step explanation:

Given data :

N = 200

girls (x) = 115 , Boys = 85

p = x / n = 115 / 200 = 0.575

significance level ( ∝ ) = 0.1

aim : test whether the proportion of girls births after the treatment is greater than 50% that occurs without any treatment .

A) Determine the test statistic

H0 : p = 0.5

Ha : p > 0.5

to determine the test statistic we will apply the z distribution at ( ∝ ) = 0.1

Z - test statistic = ( 0.575 - 0.5)  / \(\sqrt{0.5*0.5 / 200}\)  = 2.12

b) determine the p-value

The P-value can be determined using the normal standard table

P-value = 1 - p(Z< 2.12 )  =  1 - 0.9830 = 0.017

c) Given that the p value ( 0.017 ) < significance level ( 0.1 )

we will reject the H0 because there is evidence showing that proportion of girls birth is > 50%