Given the function shown in the graph below, which of the following is FALSE?

A. The degree of the polynomial is 2
B.The polynomial has a positive leading coefficient

C.The function has an absolute minimum
D.
The function has a triple root

The percentage increase in the diameter of the drain pipe necessary to enable it to carry 60 litres per second is  28.87%.

Given that the carrying capacity is directly proportional to the area, we can write:

C1 ∝ A1 = πr₁²

Since the carrying capacity is directly proportional to the area, we have:

C2 ∝ A2 = πr₂²

To find the percentage increase in diameter, we need to find the ratio of the increased area to the initial area and then express it as a percentage. Let's calculate this ratio:

(A2 - A1) / A1 = (πr₂² - πr₁²) / (πr₁²) = (r₂² - r₁²) / r₁²

We can also express the ratio of the increased carrying capacity to the initial carrying capacity:

(C2 - C1) / C1 = (60 - 36) / 36 = 24 / 36 = 2 / 3

Since the area and the carrying capacity are directly proportional, the ratios should be equal:

(r₂² - r₁²) / r₁² = 2 / 3

Now, let's substitute r = D/2 in the equation:

((D₂/2)² - (D₁/2)²) / (D₁/2)² = 2 / 3

(D₂² - D₁²) / D₁² = 2 / 3

Cross-multiplying:

3(D₂² - D₁²) = 2D₁²

3D₂² - 3D₁² = 2D₁²

3D₂² = 5D₁²

Dividing by D₁²:

3(D₂² / D₁²) = 5

(D₂² / D₁²) = 5 / 3

Taking the square root of both sides:

D₂ / D₁ = √(5/3)

To find the percentage increase in diameter, we subtract 1 from the ratio and express it as a percentage:

Percentage increase = (D₂ / D₁ - 1) × 100

Percentage increase = (√(5/3) - 1) × 100

Percentage increase = 28.87%

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Answer:

x=−3

Step-by-step explanation:

2(6x+1)−4(x−5)=−2

Step 1: Simplify both sides of the equation.

2(6x+1)−4(x−5)=−2

(2)(6x)+(2)(1)+(−4)(x)+(−4)(−5)=−2(Distribute)

12x+2+−4x+20=−2

(12x+−4x)+(2+20)=−2(Combine Like Terms)

8x+22=−2

8x+22=−2

Step 2: Subtract 22 from both sides.

8x+22−22=−2−22

8x=−24

Step 3: Divide both sides by 8.

8x/8=−24/8

Answer:

t=8p

Step-by-step explanation:

Basically, you need to determine the total length the pieces by multiplying the length of the string by the number of pieces of string there are. If you were to find the length of a piece of string you could just do p+p+p+p+p+p+p+p but to simplify it you would use the above stated answer.

The equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is y = (5/2) * x^2y + 1. This equation represents a curve where the y-coordinate is a function of the x-coordinate, satisfying the conditions.

To determine an equation of the curve that satisfies the conditions, we can integrate the slope function with respect to x to obtain the equation of the curve. Let's proceed with the calculations:

We have:

Point: (0, 1)

Slope: 5xy

We can start by integrating the slope function to find the equation of the curve:

∫(dy/dx) dx = ∫(5xy) dx

Integrating both sides:

∫dy = ∫(5xy) dx

Integrating with respect to y on the left side gives us:

y = ∫(5xy) dx

To solve this integral, we treat y as a constant and integrate with respect to x:

y = 5∫(xy) dx

Using the power rule of integration, where the integral of x^n dx is (1/(n+1)) * x^(n+1), we integrate x with respect to x and get:

y = 5 * (1/2) * x^2y + C

Applying the initial condition (0, 1), we substitute x = 0 and y = 1 into the equation to find the value of the constant C:

1 = 5 * (1/2) * (0)^2 * 1 + C

1 = C

Therefore, the equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is:

y = 5 * (1/2) * x^2y + 1

Simplifying further, we have:

y = (5/2) * x^2y + 1

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Answer:

2/6

Step-by-step explanation:

The area of each triangle using the formula A = 1/2bh would be 2000 meters sq.

The area of the triangle is defined as the product of half the base and the height of the triangle.

The area of the triangle = 1/2 x b x h

We have been given the base of triangle b, 100m and the height of the triangle h, 40m , we are asked to find the area.

We know that Area of triangle = ½ × b × h

Area = ½ × 100 × 40

Area =50 × 40

Area = 2000 meters sq.

Hence, the area of each triangle using the formula A = 1/2bh would be 2000 meters sq.

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The complete question is

The height of the triangle is 40m and the base is b = 100m.  find the area of each triangle using A=1/2bh

Answer:

3.75 scoops

Step-by-step explanation:

We Know

Sofia gets 180 toys.

She will divide them equally among her 4 friends

In every scoop, she pulls 12 toys

How many scoops will her friends get if she divides the toys evenly among her friends?

We Take

180 / 4 = 45 toys for each friend

Then We Take

45 / 12 = 3.75 scoops for each friend

So, each of her friends will get 3.75 scoops.

Answer:

Hmmmm

Step-by-step explanation:

Answer:

man I

Step-by-step explanation:

hey

Answer:

manatap Fanny neff

Franko

Step-by-step explanation:

alucard

Answer:

x = 36

Step-by-step explanation:

44 = 23 + 7/12x

21 = 7/12x

x = 36

Let' Check

44 = 23 + 7/12(36)

44 = 23 + 21

44 = 44

So, x = 36 is the correct answer.

Answer:

The answer is 6 okay this is the answer

The best prediction possible for the number of times it will not land on yellow is approximately 50 times.

Assuming that the spinner has five equal sections, the probability of it not landing on yellow is 4/5.

Therefore, if you spin the spinner 63 times, you can predict that it will not land on yellow approximately 50 times (63 x 4/5 = 50.4).

However, it's important to note that this is just a prediction based on probability, and the actual number of times the spinner doesn't land on yellow may vary due to chance.

Additionally, if the spinner is not equally divided or if it's weighted, the probability and prediction may change

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South would be straight down (leg 1 of the triangle) and east would be right from that point (leg 2 of the triangle). Therefore, we are looking for the hypotenuse of the triangle.

Pythagorean Theorem: a^2 + b^2 = c^2

6^2 + 5^2 = c^2

36 + 25 = c^2

61 = c^2

c = sqrt(61)

c = 7.8 miles

Hope this helps!

The height of the rectangle is 16.6 millimeters.

To find the height of a rectangle, we can use the formula for the perimeter of a rectangle, which states that the perimeter is equal to twice the sum of its length and width. In this case, the base of the rectangle is given as 15.8 millimeters, and the perimeter is given as 64.8 millimeters.

Let's denote the height of the rectangle as h. Using the formula, we can express the given information as:

Perimeter = 2 × (Base + Height)

Substituting the given values, we have:

64.8 = 2 × (15.8 + h)

To solve for h, we first simplify the equation by multiplying the values inside the parentheses:

64.8 = 2 × 15.8 + 2 × h

Next, we simplify further:

64.8 = 31.6 + 2h

Subtracting 31.6 from both sides:

64.8 - 31.6 = 2h

33.2 = 2h

To isolate h, we divide both sides by 2:

33.2/2 = h

16.6 = h

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To convert the measurement, we multiply it by Π = 1/1000 to convert grams to kilograms and obtain the desired unit of s^2 kg·m^2,the missing part of the equation is: Π = 1/1000

To fill in the missing part of the equation, we need to find the value of the Greek letter Π (Pi) that will convert the given measurement of (0.030 s^2 g·m^2) to the desired unit of s^2 kg·m^2.

To do this, we can analyze the units involved in the conversion factor.

We have s^2 g·m^2 on the left side of the equation, and we want to convert it to s^2 kg·m^2 on the right side.

The given unit of mass is in grams (g), but we need to convert it to kilograms (kg). Since 1 kg is equal to 1000 g, we can divide the given measurement by 1000 to convert grams to kilograms.

Therefore, the missing part of the equation is:

Π = 1/1000

This means that multiplying the given measurement of (0.030 s^2 g·m^2) by 1/1000 will convert the mass from grams to kilograms, resulting in the desired unit of s^2 kg·m^2.

In summary, to convert the measurement, we multiply it by Π = 1/1000 to convert grams to kilograms and obtain the desired unit of s^2 kg·m^2.

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Question-

A student sets up the following equation to convert a measurement. (The ? stands for a number the student is going to calculate.) Fill in the missing part of this equation. (0.030

​

Answer:

Diameter is the second option

Radius is the first option

Circumference is the third option

Area is the sixth option.

Step-by-step explanation:

Diameter is the distance between two circles from one end to another.

Radius is from the center to any part of the circle

To find cirumfrnce it’s diameter*π

To find area is πr^2 or in this case π*radius*radius

The given statement "An algorithm is a calculation that determines how long it will take to solve a problem." is False.

An algorithm is not just a calculation that determines how long it will take to solve a problem. An algorithm is a step-by-step set of instructions or a process used to solve a problem or perform a specific task. It is a systematic approach that allows a computer or human to break down a problem into smaller, manageable parts and reach a solution effectively.

Algorithms are the foundation of computer programming and can be applied in various fields such as mathematics, data processing, and problem-solving. They can be simple, like finding the largest number in a list, or complex, like solving a Rubik's Cube.

Efficiency is a key factor in evaluating algorithms. The time and resources required for an algorithm to solve a problem can vary greatly depending on the method used. However, the primary purpose of an algorithm is to provide a clear and concise procedure to reach a solution, rather than just estimating the time needed to solve a problem.

In summary, an algorithm is a well-defined process designed to perform a specific task or solve a problem, rather than just calculating the time required to do so. Its effectiveness depends on its efficiency, accuracy, and the simplicity of the steps involved.

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The expression a² - 2ab - 36b², can be factorize as: (a - 6b)^2.

The polynomial expression a² - 2ab - 36b² can be factored as shown below:

This is done by finding two numbers that multiply to -36 and add to -2ab. The numbers are -6b and 6b, and the expression can be written as:

(a - 6b)(a - 6b), which can be simplified to (a - 6b)^2.

Therefore, given the polynomial expression, a² - 2ab - 36b², when factorized, we would get (a - 6b)².

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Answer: I hope this helps.

Step-by-step explanation:

Answer:

solution,

Price of car=£15400

After reduction:

\(15400 - 15400 \times \frac{8}{100} \\ = 15400 - 1232 \\ = 14168\)

hope this helps...

Good luck on your assignment....

Answer:

38 degree difference

Step-by-step explanation:

24 + 15 =39

But they share the 0 degree spot so minus one.

39-1=38

Answer:

rrfgggefgegeegfegefegegeegfgfgfdfefdfefgdfdfdddgedgdfdgedfgfedffdddfgfdgddfddfgdfdgdf

Answer:

Step-by-step explanation:

Use distributive property,

a*(b - c) =a*b - a*c

6(4x  - 8) = 6*4x - 8*6

               = 24x - 48

Step 1

Remove full rotations of 360 degrees until the angle is between 0 and 360 degrees

Step 2

Hence, we find sin 120 using reference angles in the first quadrant

Therefore,

Answer sin 480 =(√3)/2

The inference that in this age group, women are at greater risk of developing asthma is incorrect, as the study only provides information on the prevalence of asthma in men and women and does not establish causality or risk.

The inference that women are at greater risk of developing asthma cannot be made solely based on the information given in the statement. While the prevalence of asthma is higher among women (9 per 100) than among men (6 per 100), additional statistical analyses such as calculating relative risks or conducting hypothesis tests are required to determine if this difference is statistically significant and to establish a causal relationship between gender and asthma.

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Answer:

1. x+ 2/3= -1/4

x+ 8/12= -3/12

-8/12 -8/12

x= -11/12

2. 1/4x+ 2/5= 1/3

1/4x+ 6/15= 5/15

-6/15 -6/15

1/4x= -1/15

15/60x= -4/60

÷15/60. ÷15/60

x= -4/15

the radius of convergence is 1 and the interval of convergence is (1, 3) in terms of x-values.

To determine the radius of convergence, we can use the ratio test. The ratio test states that if the limit of the absolute value of the ratio of consecutive terms is less than 1 as n approaches infinity, then the series converges. Applying the ratio test to the given series, we have:

lim(n->∞) |((x - 2)^(n+1)/(n+1)) / ((x - 2)^n/n)| < 1

Simplifying the expression, we get:

lim(n->∞) |(x - 2)n+1 / (n+1)(x - 2)^n| < 1

Taking the absolute value and rearranging, we have:

lim(n->∞) |x - 2| < 1

This implies that the series converges when |x - 2| < 1, which gives us the interval of convergence. The radius of convergence is the distance between the center of the series (x = 2) and the nearest point where the series diverges, which in this case is 1.

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The correlation coefficient between x and f(x) is approximately 0.39. This suggests a weak positive correlation between the cost per seat and the profit the airline makes.

The precise metric used in a correlation analysis to quantify the strength of the linear relationship between two variables is the correlation coefficient.

To calculate the correlation coefficient between x and f(x), we need to calculate several quantities first:

mean of x:

\($\overline{x}\) = {50+35+60+65+70+75+80}{7} = {435}/{7}

= 62.14

mean of f(x):

\($\overline{f(x)}\)= {1,272 + 1,884.5 + 2,322 + 2,584.5 + 2,672 + 2,584.5 + 2,322}/{7}

= 2,112.86

and, standard deviation of x:

\($s_x\)=\(\sqrt{\frac{\sum_{i=1}^n (x_i - \overline{x})^2}{n-1}}\)

= \(= \sqrt{\frac{(50-62.14)^2 + (35-62.14)^2 + (60-62.14)^2 + (65-62.14)^2 + (70-62.14)^2 + (75-62.14)^2 + (80-62.14)^2}{6}} \\\approx 17.27$\)

and, standard deviation of f(x):

\($s_{f(x)} = \sqrt{\frac{\sum_{i=1}^n (f(x_i) - \overline{f(x)})^2}{n-1}}\)

= (1,272-2,112.86)² + (1,884.5-2,112.86)² + (2,322-2,112.86)² + (2,584.5-2,112.86)² + (2,672-2,112.86)²+  (2,584.5-2,112.86)² + (2,322-2,112.86)²}/ 6

= 385.09

Now, covariance of x and f(x):

\($cov(x,f(x)) = \frac{\sum_{i=1}^n (x_i - \overline{x})(f(x_i) - \overline{f(x)})}{n-1}\)

= {(50-62.14)(1,272-2,112.86) + (35-62.14)(1,884.5-2,112.86) + (60-62.14)(2,322-2,112.86) + (65-62.14)(2,584.5-2,112.86) + (70-62.14)(2,672-2,112.86) + (75-62.14)(2,584.5-2,112.86) + (80-62.14)(2,322-2,112.86)} / 6

= 762.36

Using these values, we can calculate the correlation coefficient:

\($r = \frac{cov(x,f(x))}{s_x s_{f(x)}} = \frac{762.36}{17.27 \cdot 385.09} \approx 0.39$\)

Therefore, the correlation coefficient between x and f(x) is approximately 0.39. This suggests a weak positive correlation between the cost per seat and the profit the airline makes.

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Answer:

14 apple pies

Step-by-step explanation:

Answer:

The value of given expression = - 5mx

Step-by-step explanation:

Given expression;

10xm - 8mx + 6xm - 13xm

Find:

The value of given expression

Computation:

⇒ 10xm - 8mx + 6xm - 13xm

Step 1 ;

Rearrange expression;

⇒ 10mx - 8mx + 6mx - 13mx

Step 2 ;

Adding all terms

⇒ 10mx + 6mx - 8mx - 13mx

Step 3 :

Subtract term

⇒ 16mx - 21mx

⇒ -5mx

The value of given expression = - 5mx