A cylinder has a volume 114cm what is the volume of a cone with the same radius and height?

Answer:

-2.46

Step-by-step explanation:

151/24=6.29

6.29-8.75=-2.46

Answer:

-2.45833333333

Step-by-step explanation:

151 divided by 24= 6.29166666667

6.29166666667-8.75=-2.45833333333

2dp=2.46

\(7(\frac{9}{4}x- \frac{18}{7})= -\frac{5}{21} +\frac{17}{7}x <=> \frac{63}{4}x-18 =-\frac{5}{21}+ \frac{17}{7}x\\ <=>\frac{63}{4}x - \frac{17}{7}x = 18-\frac{5}{21}<=>\frac{373}{28} =\frac{373}{21} <=>x=\frac{4}{3}\)

ok done. Thank to me :>

By solving a linear equation, it can be calculated that

The chef weighed x kg of food

What is linear equation?

At first it is important to know about equation

Equation shows the equality between two algebraic expression by connecting the two algebraic expression by an equal to sign.

A one degree equation is known as linear equation.

Here a linear equation needs to be solved

Let the chef weighed x kg of food

A chef uses the following rule for cooking food on a spit ‘Allow 20 minutes for each kilogram weight and then add an extra 20 minutes

Total time taken = 20x +20

By the problem,

20x + 20 = 180

20x = 180 - 20

20x = 160

x = \(\frac{160}{20}\)

x = 8 kg

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Answer:

6520

Step-by-step explanation:

Hope this helps :3

Answer:

\(s(x) = - x + 1 \\ t(x) = {x}^{2} - 1 \\ s(t(x)) = - ({x}^{2} - 1) + 1 \\ = - {x}^{2} + 1 + 1 \\ = 2 - {x}^{2} \\ s(t(2)) = 2 - {2}^{2} \\ \boxed{s(t(2)) = - 2} \)

Answer:

(-4, 5) Quadrant ll

Step-by-step explanation:

Hope this helps

Answer:

-> The scale 1:100 means that every measurements in the plan will probably  represent a size of 100 times larger in real life.

-> For example:

Adam is drawing a plan of an office room with a scale of 1:100. In the plan, it is shown that the width of the room is 0.8 feet. We then proceed to calculate the width in real life as follow:

0.8 × 100 = 80 ft

=> So the width of the office room is 80 ft.

Answer:

12:06

Step-by-step explanation:

Gwendolyn Logan is not happy with you cheating.

Answer: At 12:06 their went raid

AStep-by-step explanation:

I'm sorry im just doin my job.

gwendell briggs

avbc

b

Answer:

\(Cos \ 300 = \dfrac{1}{2}\)

Step-by-step explanation:

  \(\sf \boxed{Cos \ (2\pi - \theta) = Cos \ \theta}\)

Cos 300 = Cos ( 360 - 60)

               = Cos 60

               \(\sf = \dfrac{1}{2}\)

CBT (Computer-Based Training) or WBT (Web-Based Training) are highly recommended courses for individuals preparing for certification exams. These interactive and accessible courses provide a flexible learning experience tailored to the needs of exam candidates.

CBT and WBT courses offer numerous advantages for certification exam preparation. Firstly, they allow learners to study at their own pace and convenience, as the materials are available online and can be accessed from anywhere with an internet connection. These courses often include interactive elements such as quizzes, simulations, and practice exams, enabling candidates to assess their knowledge and track their progress. Additionally, CBT and WBT courses are often designed by experts in the field, ensuring the content is comprehensive and up-to-date.

By utilizing CBT or WBT courses, certification exam candidates can enhance their understanding of the exam topics, improve their retention of key information, and develop essential skills required for success. The interactive nature of these courses promotes active learning, engagement, and the opportunity to apply theoretical knowledge in practical scenarios. Ultimately, CBT and WBT courses empower individuals to approach certification exams with confidence and increase their chances of achieving positive outcomes.

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The number of hours it will take the airplane to fly the given distance would be = 4.5 hours

To calculate the number of hours that can be used for the distance, the following needs to be done. That is;

The number of hours it take to complete 3600 miles = 3 hours

Therefore the number of hours it will take to complete 5400miles = X hours.

That is;

3600 miles = 3 hours

5400 miles = X hours

make X the subject of formula;

X = 5400×3/3600

= 16,200/3600

= 4.5 hours.

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y = 220/ ((10/3) * √22)

It is given that area is 200 square feet. Cost is 3 dollar per foot. Fourth side costs 12 dollars per foot.

This f(x,y) needs to represent the cost of the fence so we can look at each side's price. We can choose the fourth side to be along the x axis and be represented by 13x. The other sides therefore must be represented by 5y, 5y, and 5x.

So, our cost, f(x,y) = 13x + 5x + 5y + 5y = 18x + 10y

Our constraint is xy = 220 as defined by the area of a rectangle.

We can then take our constraint to be put in terms of exclusively x, giving us y = 220/x

Plugging this into our cost, the thing we are minimizing, we get f(x) = 18x + 2200/x

In order to find the minimum we use the first derivative test, taking f'(x) and finding the critical points.

f'(x) = 18 - 2200/x2

Setting this equation to be equal to 0 we find that x = ±√2200/18 . But the negative answer doesn't make sense because distance cannot be negative so we throw it out.

x = (10/3) * √22

We must verify that this is a minimum by confirming the following:

If x < (10/3) * √22, f'(x) < 0. So, f(x) is decreasing when x < (10/3) * √22.

If x > (10/3) * √22, f'(x) > 0. So, f(x) is increasing when x > (10/3) * √22.

Thus, we have guaranteed that (10/3) * √22 is the x dimension. Now we plug in this value in our original equation to find y and that is our y dimension. So, y = 220/ ((10/3) * √22)

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Answer:

the answer is 749.71  i think. Have a good day good luck.

Step-by-step explanation:

To schedule the tasks on two machines in a way that minimizes the time for both machines to finish their tasks, we can use the "Longest Processing Time" algorithm.

1. Sort the list of times in descending order: (18, 16, 12, 8, 6).

2. Assign the tasks one by one to the machine with the currently shorter total processing time.

  Machine 1: (18) -> Total time: 18

  Machine 2: (16) -> Total time: 16

  Machine 1: (12) -> Total time: 30

  Machine 2: (8) -> Total time: 24

  Machine 1: (6) -> Total time: 36

3. The best time for both machines to finish their tasks is the maximum of the two total times: 36.

the correct answer is:

D) 35 (Incorrect)

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Answer:

number of $8 sold= 200

Number of $10 tickets sold= $150

Number of $12 tickets sold = $50

Step-by-step explanation:

Let the quantity of $8 ticket be represented as  x

Let the quantity of $10 ticket be represented as  y

Let the quantity of $12 ticket be represented as  z

Such that total tikets sold = 400 can be represented as x+y+z= 400

Prices of$8, $10 and $12 gave a total income of $3,700  such that it can be represented as

8x +10y + 12z =$3,700

Also given that combined number of $8 and $10 priced tickets sold was 7 times the number of $12 tickets sold, we have that

x+y = 7z

Giving us the equations to solve to  be

x+y+z= 400------ equation 1

8x +10y + 12z =$3,700---- equation 2

x+y = 7z------equation 3

Step 2- solving

Putting equation 3 i n equation 1, we have that

7z+z = 400

8z= 400

z= 400/8= 50

also puting the value of z= 50 in equation 1

x+y+z= 400

x+y+50= 400

x+y = 350---- equation 4

putting z= 50 into equaton 2 and solving out

8x +10y + 12z =$3,700

8x +10y + 12x 50 =$3,700

8x +10y + 600 =$3,700

8x +10y =3,700 - 600

8x +10y=3,100---------equation 5

Multiplying equation 4 by 8  and subtracting from equation 5

8x +10y=3,100

-8x+8y= 2,800

2y=300

y= 300/2

y=150

to find x, when y= 150 using equation 4

x+y = 350

x= 350-150

x= 200

Therefore number of $8 sold= 200

Number of $10 tickets sold= $150

Number of $12 tickets sold = $50

The marginal frequencies of chocolate and strawberry are 0.75 and 0.25 and chocolate is greater by 0.5

Marginal frequency is the ratio between either a column total or a row total and the total sample size.

For example, in a table of students classified by sex and area of study, the number of female students, regardless of area of study, would be one marginal frequency.

The marginal frequency of chocolate is calculated as;

The total frequency of chocolate = 30+45 = 75

The grand frequency = 75+25 = 100

marginal frequency of chocolate = 75/100

= 0.75

The marginal frequency of strawberry = 25/100

= 0.25

The difference in the marginal frequencies of chocolate and strawberry = 0.75 - 0.25 = 0.50

Therefore the marginal frequency of chocolate is greater than strawberry by 0.5

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a.  If we let u = (3 - 2x), then the derivative du/dx would be -2, which is not equal to zero. This indicates that the substitution does not satisfy the requirement for u to be differentiable.

b. Michael's substitution satisfies the requirement for u to be differentiable.

(a) i. Kayla's proposed substitution of u as (3 - 2x) will not work in this case. The reason is that when using the u-substitution method, it is necessary for the chosen u to be differentiable, meaning that its derivative du/dx should exist and be non-zero. However, if we let u = (3 - 2x), then the derivative du/dx would be -2, which is not equal to zero. This indicates that the substitution does not satisfy the requirement for u to be differentiable.

ii. Kayla's idea of always picking the most inside factor as u does not work for all u-substitutions. There can be cases where choosing the most inside factor may not lead to a valid substitution that simplifies the problem or makes integration easier. It is important to consider the properties of the function and choose a suitable substitution accordingly.

(b) i. Michael's proposed substitution of u as 3√3 - 2x will work in this case. If we let u = 3√3 - 2x, then the derivative du/dx would be -2, which is non-zero. Therefore, Michael's substitution satisfies the requirement for u to be differentiable.

ii. Michael's idea of always picking the most complicated factor as u also does not hold true for all u-substitutions. The choice of u depends on various factors, including the structure of the function, simplification possibilities, and making the integration process more manageable. It is not necessarily the case that the most complex factor will always result in a successful substitution.

It is important to consider the specific characteristics of the function and apply appropriate judgment in choosing the substitution u to simplify the problem effectively.

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There are 2 tablespoons in 1 fluid ounce. This conversion is often used in cooking and baking recipes, where ingredients are measured in ounces or tablespoons.

Fluid ounces and tablespoons are both units of volume used to measure liquids in cooking and baking recipes. One fluid ounce is equal to 29.5735 milliliters or approximately 2 tablespoons, which is equivalent to 6 teaspoons. Therefore, there are 2 tablespoons in 1 fluid ounce.

This conversion is important to know when following recipes that call for ingredients in fluid ounces or tablespoons. It allows for accurate measurement of ingredients, which is crucial for successful cooking and baking. Other common units of volume used in the kitchen include teaspoons, cups, and quarts, among others.

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Answer:

Tbh i don’t really know

Step-by-step explanation:

Ask someone else

6x2y÷3

we will first multiply 6 by 2y

This will give 12y

Then we will divide 12y by 3

That is;

12y/3 = 4y

Hence:

6x2y÷3 = 4y

Solving the system of equations we can see that:

We can define the variables:

x = price of a Douglas Fir trees

y = price of a Noble Fir trees.

By using the given information we can write:

6x + 16y = 986

6x + 24y = 1368

That is our system of equations

If we take the second equation and we subtract the first one we get.

(6x + 24y) - (6x + 16y) = 1368 - 986

8y = 382

y = 382/8 = 47.75

now that we know the value of y, we can find the value of x using the first equation.

6x + 16y = 986

6x = 965 - 16y

x = (965 - 16y)/6

x = (965 - 16*47.75)/6 = 33.5

So:

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None of the available options match the parabola's equation.

To determine the equation of a parabola, we can utilize the vertex form. Assuming we can read the coordinates (h,k) from the graph, the aim is to utilize the coordinates of its vertex (maximum point, or minimum point), to formulate its equation in the form y=a(xh)2+k, and then to determine the value of the coefficient a.

A parabola's vertex form is given by:

\(y = a(x-h)^2 + k\)

where (h,k) is the parabola's vertex.

\(y = a(x-5)^2 - 3\)

These values are substituted into the equation to produce:

\(-15 = a(2-5)^2 - 3\)

\(-15 = 9a - 3\)

\(-12 = 9a\)

\(a = -4/3\)

\(y = (-4/3)(x-5)^2 - 3\)

This equation is expanded and simplified to produce:

\(y = (-4/3)x^2 + (32/3)x - 53\)

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Answer:

The last one

Step-by-step explanation:

Before finding the probabilities, we need to find all possible outcomes, and it's probabilities.

Doing this, we get:

The probability that a randomly selected pigeon gets an incorrect result is 0.0103 = 1.03%.

Possible outcomes:

Pigeon has the virus(1.5% probability) and gets an accurate test, showing the presence of the virus(97% probability).

Pigeon has the virus(1.5% probability) and gets an inaccurate test, not showing the presence of the virus(100% - 97% = 3% probability).

Pigeon does not have the virus(100 - 1.5 = 98.5% probability) and gets an accurate test, not showing the presence of the virus(99% probability).

Pigeon does not have the virus(98.5% probability) and gets an innacurate test, showing the virus(100 - 99 = 1% probability).

Probability of incorrect result:

Has the virus and test negative: 0.03 of 0.015

Does not have the virus and test positive: 0.01 of 0.985

Thus:

\(p = 0.03\times0.015 + 0.01\times0.985 = 0.0103\)

The probability that a randomly selected pigeon gets an incorrect result is 0.0103 = 1.03%.

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Answer:

58%

Step-by-step explanation:

Given the exponential relation :

Y=52(0.42)^x

Since 0.42 is less than 1, then we can infer that the expression is a Decay function ;

. General form of a exponential function :

y = A(1 - r)^x ; r = Decay rate

Comparing the general equation with the equation given ;

The percentage rate of decrease is obtained thus :

1 - r = 0.42

1 - 0.42 = r

r = 0.58

Rate = 0.58 * 100%

Rate = 58%

This belief best illustrates the phenomenon known as political polarization, where individuals strongly align with their own political ideology and tend to view those with opposing beliefs as less correct and less trustworthy.

Political polarization refers to the deep divide and strong ideological alignment within a society, leading individuals to firmly adhere to their own political beliefs and view those with opposing views as less valid or trustworthy. Kate and Carmine's belief reflects this polarized mindset, where they both believe that their own political ideology is more correct and reliable compared to the opposing ideology.

Political polarization often leads to a lack of understanding and empathy between individuals with differing political beliefs, as each side tends to dismiss or devalue the perspectives of the other. This can hinder constructive dialogue and compromise, making it difficult to find common ground or reach consensus on important political issues. The phenomenon of political polarization has become increasingly prominent in many societies, shaping political discourse and contributing to social divisions.

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The root mean square (RMS) speed of gas molecules is directly proportional to the square root of the Kelvin temperature.

Relationship between temperature (T) and the RMS speed (v) is given by:

v ∝ √T

If the Kelvin temperature doubles (2T), we can determine the change in the RMS speed as follows:

v2/v1 = √(2T1) / √T1

Simplifying:

v2/v1 = √2√T1 / √T1

= √2

Therefore, the ratio of the final RMS speed (v2) to the initial RMS speed (v1) is √2. In other words, when the Kelvin temperature of an ideal gas doubles, the RMS speed of the gas molecules increases by a factor of √2 or approximately 1.414.

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Answer:

Step-by-step explanation:

To find the value of h use the formula for finding the slope of a line

That's

\(m = \frac{y2 - y1}{x2 - x1} \)

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

From the question

slope = - 3

The points are [4,-9] and [-3,h]

Substitute these values into the equation

We have

\( - 3 = \frac{h + 9}{ - 3 - 4} \)

\( - 3 = \frac{h + 9}{ - 7} \)

Cross multiply

That's

- 3(-7) = h + 9

21 = h + 9

h = 21 - 9

We have the final answer as

Hope this helps you

Answer:

12345

Step-by-step explanation: