William and Shana plan to stain the concrete surface of their square-shaped driveway and of their patio.



What is the approximate surface area of the concrete that will be stained?

The root of the graph of f(x) =(x - 5)3(x + 2)2 touches the x-axis at -2,5

(x - 5)^3 has a power of 3 which is an ODD number. An ODD power means that the graph will cross through the x-axis.

(x + 2)^2 has a power of 2 which is an EVEN number. An EVEN power means that the graph will touch the x-axis.

Given: Function f(x) is (x - 5)3(x + 2)2

If a curve touches the x-axis then f(x) = 0

⇒ (x - 5)3(x + 2)2 = 0.

But if ab = 0 ⇒ either a = 0 or b = 0 or both zero.

⇒ (x - 5)3 = 0 and (x + 2)2 = 0

⇒ (x - 5) = 0 and x + 2 = 0

⇒ x = 5 and x = - 2.

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The horizontal distance from the tower to the fire is 7 feet

The term "angle of depression" describes the angle created by a horizontal line and the line of sight from the observer's eye to a location below their horizontal line of sight. It is often calculated by descending from the horizontal line.

The angle of depression is a term that is frequently used in discussions of observations or measurements involving objects that are below the observer's location in geometry and trigonometry.

We know that;

Tan 3 = x/140

x = 140 Tan 3

x = 7 feet

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Answer:

161

Step-by-step explanation:

86 - [(4 - 9) to the 2nd power x 3]

86 - [(-5) to the 2nd power x 3]

86 - [-25 x 3]

86-(-75)

86+75

161

To find the volume of the solid obtained by rotating the triangle (2,5), (2,3), (1,2) about the vertical axis, we can use the method of cylindrical shells.

The height of each cylindrical shell will be the difference in y-coordinates between the upper and lower points of the triangle, which is (5-2) = 3 units.The radius of each cylindrical shell will be the x-coordinate of the triangle point, which varies from x = 1 to x = 2.Therefore, the volume of the solid can be calculated as:\(V = ∫[1,2] 2πx(3) dx\)

\(V = 6π ∫[1,2] x dx\)

\(V = 6π [x^2/2] [1,2]\)

\(V = 6π [(2^2/2) - (1^2/2)]\)

\(V = 6π [2 - 0.5]\)

V = 6π (1.5)

V ≈ 9π

The volume of the solid obtained by rotating the triangle about the vertical axis is approximately 9π units.

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Answer:

there will only be one 3

Step-by-step explanation:

see cause the first 3 of both numbers are 2 but only the last one of both numbers are 3 .

The square root of -1 is the definition of i. A square root is squared to eliminate the two and leave the original number.

Given that,

We have to find why i squared is equal to negative 1.

We know that,

The imaginary numbers are denoted as i.

We occasionally obtained negative integers in equations when using the radican (square root) symbol to solve them. When they realized this, some would halt and respond, "no actual solution," which is technically accurate. We can further simplify radicals by using the imaginary number I which is the square root of real numbers. We occasionally even manage to get rid of the fictitious element, which provides us with actual solutions.

The square root of -1 is the definition of i. A square root is squared to eliminate the two and leave the original number.

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The value of c guaranteed by the Mean Value Theorem for Integrals for the function f(x) = 3√x over the interval [4, 9] is approximately 6.1084.

By the Mean Value Theorem for Integrals, there exists at least one value c in the interval [4, 9] such that:

f(c) = (1 / (9 - 4)) * ∫[4,9] f(x) dx

where f(x) = 3√x.

To find the value(s) of c, we first need to evaluate the integral:

∫[4,9] 3√x dx = 2[9^(3/2) - 4^(3/2)]

Using a calculator, we get:

∫[4,9] 3√x dx ≈ 24.0416

For the function f(x) = 3√x on the interval [4,9], we have:

f(a) = f(4) = 3√4 = 6

f(b) = f(9) = 3√9 = 9

Substituting this and f(x) into the equation above, we get:

3√c = (1/5) * 24.0416

Therefore, by the mean value theorem for integrals, there exists at least one value c in (4,9) such that:

f(c) = (1/(9-4)) * ∫[4,9] f(x) dx

= (1/5) * 19.3070

= 3.8614

Simplifying, we get:

c = (24.0416 / 15) ≈ 6.1084

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the solution of the given rational equation is x = -1/7, which means the value of x is equal to negative one by seven when the equation is true.

Given Rational Equation

:

$\frac{4x - 1}{12} = \frac{11}{12} x$

We have to solve the above rational equation.So, let's solve it.

First of all, we will multiply each term of the equation by the LCD (Lowest Common Denominator), in order to remove

fractions from the equation.So, the LCD is 12

.Now, multiply 12 with each term of the equation.

$12 × \frac{4x - 1}{12} = 12 × \frac{11}{12}x$

Simplify the above equation by canceling out the denominator on LHS

.4x - 1 = 11x

Solve the above equation for x

Subtract 4x from both sides of the equation.-1 = 7x

Divide each term by 7 in order to isolate x. $x = -\frac{1}{7}$

Hence, the solution of the given rational equation is x = -1/7, which means the value of x is equal to negative one by seven when the equation is true.

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The solution to the rational equation is \($x = 3$\).

To solve the rational equation \($\frac{4x - 1}{12} = \frac{11}{12}$\) for \($x$\), we can follow these steps:

1. Start by multiplying both sides of the equation by 12 to eliminate the denominator: \($(12) \cdot \frac{4x - 1}{12} = (12) \cdot \frac{11}{12}$\).

2. Simplify the equation: \($4x - 1 = 11$\).

3. Add 1 to both sides of the equation to isolate the variable term: \($4x - 1 + 1 = 11 + 1$\).

4. Simplify further: \($4x = 12$\).

5. Divide both sides of the equation by 4 to solve for \($x$\): \($\frac{4x}{4} = \frac{12}{4}$\).

6. Simplify the equation: \($x = 3$\).

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Answer:

113.1 cm³

Step-by-step explanation:

diameter = 2 X radius

Volume of sphere = (4/3) X π X r ³

= (4/3) π (3)³

= 36π

= 113.1 cm³ to nearest tenth

Answer:

5 and 10

Step-by-step explanation:

Let the two numbers be x and y. Then,

x+y=15 .......[1]

x−y=5 .......[2]

Adding equation 1 and 2, we get,

2x=20

x=10

Therefore, y=5

Hence, the required numbers are 10 and 5.

The system of inequalities to represent this scenario for Barry will be:

x + y = 12

5x + 6y ≤ 50

Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.

Let x represents the number of hens.

Let y represents the number of roosters.

The inequality will be:

5(x) + 6(y) ≤ 50

5x + 6y ≤ 50

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Answer:

The answer is

Step-by-step explanation:

The distance between two points can be found by using the formula

\(d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ \)

where

(x1 , y1) and (x2 , y2) are the points

From the question

(1, 10) and(-5, -8)

The distance is

\(d = \sqrt{ ( {1 + 5})^{2} + ({10 + 8})^{2} } \\ = \sqrt{ {6}^{2} + {18}^{2} } \\ = \sqrt{36 + 324} \\ = \sqrt{360} \\ = 6 \sqrt{10} \\ = 18.9736659\)

We have the final answer as

\(6 \sqrt{10} \: \: \: or \: \: \: 18.97 \: \: \: \: units\)

Hope this helps you

Suppose that the joint probability density of two random variables X1 and X2 is given by F(x1,X2) = {6e^-2x1-3x2 for x1 > 0 and x2 > 0, otherwise.

Find the probability P(I2).

Solution: The joint probability density of two random variables X1 and X2 is given by F(x1, x2) = {6e^(−2x1 − 3x2) for x1 > 0 and x2 > 0, otherwise. Find the probability P(I2).It is known that, for any joint probability density function f(x, y) and any real number a,b,c, and d such that a ≤ b and c ≤ d, we have: P(a ≤ X ≤ b, c ≤ Y ≤ d) = ∫(c to d) ∫(a to b) f(x,y)dxdy.

We use this formula to calculate the required probability. We have:I2 = {X2 > 2X1}. Hence, we want to find the probability that X2 > 2X1. This probability can be written as: P(I2) = P(X2 > 2X1) = ∫(0 to ∞) ∫(2x1 to ∞) f(x1,x2)dx2dx1= ∫(0 to ∞) ∫(2x1 to ∞) 6e^(−2x1 − 3x2) dx2dx1= 6 ∫(0 to ∞) e^(−2x1) ∫(2x1 to ∞) e^(−3x2) dx2dx1Now, let's solve the inner integral first. We get:∫(2x1 to ∞) e^(−3x2) dx2= (-1/3) e^(−3x2)|2x1 to ∞= (-1/3) e^(−6x1)Now we substitute this value of the integral back into the outer integral. We get: P(I2) = 6 ∫(0 to ∞) e^(−2x1) (-1/3) e^(−6x1) dx1= (-2) ∫(0 to ∞) e^(−8x1) dx1= (-2) (1/8)= -1/4. Hence, the required probability P(I2) is equal to -1/4.

Therefore, the correct option is (D) -1/4.

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The solution of a linear equation is (-2,5,4).

The equations given in the questions are,

x - y + 2z = 1 ..[1]

3x + y + 5z = 19  ..[2]

2x - y - 2z = -17 ...[3]

Putting the value of y from [1] in [2]and [3]

y = x+ 2z -1

3x + (x+ 2z -1) + 5z = 19  

4x + 7z = 20  ...[4]

2x - (x+ 2z -1) - 2z = -17

x - 4z = -18   ...[5]

Solving equations [4] and [5] by substitution:

Putting values of x from [5] in [4]

x = 4z -14

4(4z -18) + 7z = 20

16z - 72+ 7z =20

23z = 92

z = 4

x = 4 × (92 ÷ 23) - 18

x = -2

y = (-2) + 2 × (92 ÷ 23) - 1

y = 5

(x,y,z) = (5.-2,4)

The solution of the equation is (-2,5,4).

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If the polynomial p(x) is divided by (x-1) three times and has a remainder of 1 at the end, then -1 is a double root of p(x). This means that (x+1) is a factor of p(x) raised to the power of 2.

When a polynomial is divided by (x-1), the remainder represents the value of the polynomial at x=1. Since the remainder is 1, it implies that p(1) = 1. Dividing p(x) by (x-1) three times indicates that the polynomial has been factored by (x-1) three times. Consequently, the polynomial can be written as p(x) = (x-1)^3 * q(x) + 1, where q(x) is the quotient obtained after dividing p(x) by (x-1) three times. Since the remainder is 1, it means that when x=1, p(x) leaves a remainder of 1.

Thus, (1-1)^3 * q(1) + 1 = 1, which simplifies to q(1) = 0. This implies that (x-1) is a factor of q(x), meaning that q(x) can be written as q(x) = (x-1) * r(x), where r(x) is another polynomial.

Substituting this into the earlier expression for p(x), we get p(x) = (x-1)^3 * (x-1) * r(x) + 1. Simplifying further, p(x) = (x-1)^4 * r(x) + 1. Now, we can see that p(x) is divisible by (x+1) since (x+1) is a factor of (x-1)^4, and the remainder is 1. Therefore, -1 is a double root of p(x) because (x+1) appears twice in the factored form of p(x).

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Answer/Step-by-step explanation:

Square all three numbers. If the largest number squared is equal to the sum of the squares of the other two, then the numbers form a Pythagorean triple.

or

Since a Pythagorean triple is three positive integers a, b, and c such that (a^2)+(b^2)=(c^2), first take the sum of the squares of the two legs and make an estimate. For example, 3, 4, and 5 is a Pythagorean triple since 9+16=25

either one works

In both the Vendor Compliance at Geoffrey Ryans (A) and Operational Execution at Arrows Electronics cases, there are common problems and challenges. These include issues related to vendor management.

One of the key problems faced by both companies is vendor compliance. This refers to the ability of vendors to meet the requirements and standards set by the company. Both cases highlight instances where vendors fail to meet compliance standards, leading to disruptions in the supply chain and operational inefficiencies. This problem affects the overall performance and profitability of the companies.

Another challenge faced by both companies is operational execution. This encompasses various aspects of operations, including inventory management, order fulfillment, and delivery. In both cases, there are instances where operational execution falls short, leading to delays, errors, and customer dissatisfaction. This challenge requires the companies to streamline their processes, improve communication and coordination, and enhance overall operational efficiency.

Overall, the problems and challenges in both cases revolve around effective vendor management, supply chain optimization, and operational excellence. Addressing these issues is crucial for both companies to improve their performance, meet customer demands, and maintain a competitive edge in the market.

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Answer:

D. 5/8

Step-by-step explanation:

common denominators. 3/4 is equal to 6/8.

6/8 minus 1/8 is 5/8

Answer:

Using unitary method, 8 people will paint 8 fences in 10 hours.

What is unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Time taken by 4 people to paint 2 fences  = 5 hours

Time taken by 8 people to paint 2 fences  = 5/2 hours = 2.5 hours

Time taken by 8 people to paint 1 fence = 2.5/2 hours = 1.25 hours

Time taken by 8 people to paint 8 fences = 1.25 * 8 = 10 hours

Step-by-step explanation:

(had this same question before)

The polynomial function f(x) = x³ - 5x² - 61x - 55 has the following

Real zeros: x = -5, x = -1, and x = 11.  

To find the rational zeros of a polynomial, we use the rational zeros theorem. We look at the factors of the leading coefficient and the factors of the constant coefficient.

The  states that if a polynomial function is defined as P(x) = anxn + an-1xn-1 + ... + a1x + a0 with integers, then each rational zero of the polynomial can be expressed in the form p/q where p is a factor of a0 and q is a factor of an.

For example, if P(x) = 2x³ - 5x² + 3x + 6 then p can be any factor of 6 and q can be any factor of 2.

The factors of the leading coefficient, 1, and the factors of the constant coefficient, -55, are: ±1, ±5, ±11, ±55. So the possible rational zeros are: ±1, ±5, ±11, ±55, ±1/1, ±5/1, ±11/1, ±55/1, ±1/1, ±5/1, ±11/1, ±55/1.

Simplifying the results, we have that the potential rational zeros are: ±1, ±5, ±11, ±55, ±1, ±5, ±11, and ±55.

By testing each possible rational zero, we find that x = -5, x = -1, and x = 11 are the real zeros of f(x).

Hence, using synthetic division, we get:

(x + 5)(x + 1)(x - 11) = x³ - 5x² - 61x - 55

Thus, the function can be factored over the real numbers as

f(x) = (x + 5)(x + 1)(x - 11).

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Here is ur answer

The All Nepal Football Association (ANFA)

Answer:

This is what I found:

The All Nepal Football Association (ANFA)

Answer:

12

Step-by-step explanation:

She can host the greatest amount of people will be 12, such that there are no leftovers and each person will receive the same number of sandwiches and scones, respectively.

Factorization, also known as factoring, is the breakdown of one element into a product of other objects, or factors, which when multiplied together generate the original.

Given that She has 60 tea sandwiches and 48 scones to serve

We have to determine the Greatest Common Factor (GCF) between 60 and 48

We need to write 60 and 48 as the product of their prime factors,

⇒ 2 × 2 × 3 × 5.

⇒ 3 ×2 × 2 × 2 × 2.

Here the Greatest Common Factor (GCF) is 12.

Thus, she can host the greatest amount of people will be 12, such that there are no leftovers and each person will receive the same number of sandwiches and scones, respectively.

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Answer:

84 ounces

Step-by-step explanation:

5 pounds in ounces is 80 plus the 4 ounces is 84

hope this helps

pls mark brainliest

Answer:

84 ounces

Step-by-step explanation:

16 ounces per pound

16 x 5 = 80

80 + 4 = 84

Answer:

Step-by-step explanation:

3 cups of fruit mix is divided equally among 18 items.

Each item will contain 1/6 cup of fruit mix.

First we need to divide the total amount of fruit mix by the number of items.

The total amount of fruit mix is :

8/5 cups of blueberries + 7/5 cups of strawberries

= (8/5 + 7/5) cups

= 15/5 cups

= 3 cups

So, 3 cups of fruit mix is divided equally among 18 items.

To find the fraction of a cup used for each item, we need to divide 3 cups by 18:

Copy code

3 cups ÷ 18 = 1/6 cup

Therefore, each item will contain 1/6 cup of fruit mix.

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a. The marginal product of the second janitor is 4. b. The average product of four janitors is 8. c. Output between having three and two janitors d.  output between having four and three janitors is -3.

The table provided shows the relationship between the number of janitors and the number of university classrooms cleaned in an evening. To answer the questions:

a. The marginal product of the second janitor can be found by calculating the difference in output between having two and one janitors. This is 12-8=4, so the marginal product of the second janitor is 4.

b. The average product of four janitors can be found by dividing the total output (32) by the number of janitors (4). Therefore, the average product of four janitors is 8.

c. The addition of the third janitor is associated with diminishing marginal returns. This can be seen by calculating the difference in output between having three and two janitors, which is 10-12=-2. The negative result indicates that the marginal product of the third janitor is lower than the previous one.

d. The addition of the fourth janitor is associated with negative marginal returns. This can be seen by calculating the difference in output between having four and three janitors, which is 7-10=-3. The negative result indicates that the marginal product of the fourth janitor is even lower than the previous one. This can be caused by a lack of space or equipment, or the fact that the workload cannot be divided equally among all the janitors.

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lasts= 1 hour 37 minutes

watched= 52 mins

how many minutes left in the movie.

to find the time left just find the difference.

\(52 - 37\)

\( = 15\)

\(60 - 15\)

\( = 45\)

therefore, there's 45 mins left in the movie.

Answer:

\(45 \: minutes\)

Step-by-step explanation:

Before you can find what's left you have to ensure that both values you are working on are in the same unit. In this question you are working with hours and minutes and as such you need to ensure that you either convert the hours into minutes, or minutes into hours. Let's change the hours into minutes.

\(1hr \: \: 37min \\ 1hr = 60mins \\ 60 + 37 = 97mins\)

Since the movie in 97 mins and he watched 52 mins of it. The time left is

\(97 - 52 = 45 \: min\)

lol it rounds to 36

gg not even pushing p 36 36 36