In a hot dog eating contest, Kalil ate 15 hot dogs in 2 minutes and 15 seconds. How many hot dogs did he eat per minute?

The derivative of f(x) = arccos(x^2) is: f'(x) = -2x / √(1-x^4)

The derivative of f(x) = arccos(x^2), we'll use the chain rule. The chain rule states that the derivative of a composite function is the derivative of the outer function times the derivative of the inner function. In this case, the outer function is arccos(u) and the inner function is u = x^2.

First, let's find the derivative of the outer function, arccos(u). The derivative of arccos(u) is -1/√(1-u^2). Next, we'll find the derivative of the inner function, x^2. The derivative of x^2 is 2x.

Now we'll apply the chain rule. We have:

f'(x) = (derivative of outer function) * (derivative of inner function)

f'(x) = (-1/√(1-u^2)) * (2x)

Since u = x^2, we'll substitute that back into our equation:

f'(x) = (-1/√(1-x^4)) * (2x)

So, the derivative of f(x) = arccos(x^2) is:

f'(x) = -2x / √(1-x^4)

To learn more about Derivative :

https://brainly.com/question/23819325

#SPJ11

Answer:

nope

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

It wouldn't be 1,9 it would 1,8 instead also if need help with those an app called desmos helps a lot

Answer:

y = 29° and 2y = 58°

Step-by-step explanation:

→ Recall the angle around a point

360°

→ Set up an equation

2y + 99 + y + 109 + 65 = 360

→ Simplify

3y + 273 = 360

→ Minus 273 from both sides

3y = 87

→ Divide both sides by 3

y = 29

The probability P(E) is 13/15.

According to the statement

we have given that the S = {1, 3, 5, 7, 9}, E = {1, 5, 7}

And we have to find the probability P(E).

So, For this purpose

Recall the formula for the probability of an event E in case when all outcomes are equally likely:

P(E)= n(E) /n(S)

in which S is the sample space.

But we have the S = {1, 3, 5, 7, 9},

so, n(S) = Sum of all outcomes / number of outcomes

n(S) = 1+3+5+7+9 /5

n(S) = 25 /5

n(S) = 5 and

For n(E) = Sum of all outcomes / number of outcomes

n(E) = 1+5+7 /3

n(E) = 13 /3

n(E) = 13 /3

Substitute these values in the above written formula then

P(E)= n(E) /n(S)

P(E)=  (13/3)/ 5

P(E)= 13 /15

So, The probability P(E) is 13/15.

Learn more about the PROBABILITY here https://brainly.com/question/25870256

#SPJ4

Answer:

Physical means the actual wires.  Physical is concerned with how the wires are connected. Logical is concerned with how they transmit.

a. Logical

Step-by-step explanation:

...

The arrangement of network cabling between devices is a physical topology. which is the correct answer would be option (C).

The physical configuration of a network, such as the physical arrangement of wires, media (computers), or cables, is referred to as its topology. A link can connect two or more devices, and when the number of connections reaches two, they constitute a physical topology.

A physical network diagram depicts the connecting of devices via cables or wireless links. A logical network diagram, on the other hand, depicts data and signal transfer throughout a network.

Therefore, the arrangement of network cabling between devices is a physical topology.

Hence, the correct answer would be an option (C).

To learn more about the Physical topology click here:

https://brainly.com/question/24209299

#SPJ12

Step-by-step explanation:

they are similar, that means for our case here that they're is one central scaling factor for all sides between the 2 triangles.

by looking at the forms of both triangles, we see that

ET corresponds to TR.

FT corresponds to TS.

FE corresponds to RS.

for TE and TR we have the length information :

25 and 40

so, the scaling factor between these 2 corresponding sides can then be used for the other pairs of corresponding sides.

the scaling factor to go from the large to the small triangle is

25/40 = 5/8

therefore,

FT = TS × 5/8 = 22 × 5/8 = 11×5/4 = 55/4 = 13.75

FE = RS × 5/8 = 54 × 5/8 = 27×5/4 = 33.75

the perimeter of TFE is therefore

25 + 13.75 + 33.75 = 72.5

The type of research described in the scenario is "survey research." The correct answer is B.

Survey research is a method that allows professionals from any field to investigate a problem in any type of school or setting. It involves collecting data from a sample of individuals or groups through surveys or questionnaires.

While survey research provides valuable insights into the specific problem being studied, its findings are often limited in their generalizability. This means that the conclusions drawn from the survey may not be applicable to a larger population or different contexts. The sample surveyed may not represent the entire population accurately, leading to potential biases or limitations in generalizing the results.

Other research methods, such as historical research, action research, or ethnographic study, may also be used in different contexts. However, survey research is specifically characterized by its broad applicability to various professionals and settings, as well as the limitations in generalizing its findings. The correct answer is B.

To learn more about survey research from the given link

https://brainly.com/question/29310008

#SPJ4

Answer:

Step-by-step explanation:

A potential advertiser for marketing purpose, after performing a test at 0.05 level of significance fails to reject the null hypothesis leads to the conclusion that there is not sufficient evidence at the 0.05 level of significance to say that the percentage is less than 68%.

Hypothesis testing refers to a statistical inference approach used to determine if the available data sufficiently support a particular hypothesis. Hypothesis testing enable researchers to make probabilistic statements about population parameters. In the given case, the null and alternative hypothesis regarding the publisher’s claim state:

The null hypothesis stated that the 68% or more of the readers own a Rolls Royce. H0: p ≥ 0.68

The alternate hypothesis states that less than 68% of the readers own a Rolls Royce. H1: p < 0.68

As the advertiser failed to reject the null hypothesis, it was accepted and thus, 68% or more of the readers own a Rolls Royce. It is concluded that there is not sufficient evidence at the 0.05 level of significance to say that the percentage is less than 68%.

Learn more about Hypothesis testing:

https://brainly.com/question/15980493

#SPJ4

1. These excerpts from the Code of Hammurabi identify crimes such as theft, assault, and damage to property.

2. Some of these crimes, such as theft and assault, are still considered crimes today. However, some of the punishments specified in the code, such as the punishment for a son striking his father, would not be considered appropriate today.

3. These excerpts from the Code of Hammurabi identify punishments such as fines, imprisonment, and physical punishment such as whipping or amputation.

4. Physical punishments such as whipping or amputation are no longer used in most modern legal systems.

5. Fines and imprisonment are still used as punishments today.

6. Based on these short excerpts from the code, it seems that Hammurabi defined justice as a system of strict punishment for crimes, with different punishments for different classes of people and different severity of crimes.

Our codes of law today show similarities to the Code of Hammurabi in that they both have a system of punishment for crimes. However, there are also many differences, such as the fact that our legal system is considered more fair and equal, and places a greater emphasis on rehabilitation and protecting the rights of the accused.

7. Today's view of justice has changed significantly from Hammurabi's in that it places a greater emphasis on protecting the rights of the accused, rehabilitation, and equality before the law. This change can be attributed to a number of factors, including the development of democratic societies, the influence of human rights movements, and the advancement of legal scholarship and philosophy.

The 282 rules that make up the Hammurabi code of laws established norms for business dealings and established fines and penalties to satisfy the demands of justice.

A large, finger-shaped black stone stele with Hammurabi's Code carved on it was looted by invaders and only recently found in 1901. One of the most well-known examples of the ancient maxim known as "lex talionis," or the law of retribution, is the Hammurabi Code.

Learn more about Hammurabi code on:

https://brainly.com/question/6772980

#SPJ1

The current price of the mask is $1 per mask and there is expected demand of 6000 masks per week.

If the company plans to increase the price the demand for the masks will decrease.

Revenue  = 6000 * x

Total revenue will be  $6,000 if the price of mask is $1. If price of mask increase by 10% then quantity will be declined to 5850 masks [6000 - 150].

New price = $ 1 * 110% = $1.10

Revenue = 5850 masks * $ 1.10 = $6,435.

Then correct answer is Revenue will increase if price of mask is increased.

Learn more at https://brainly.com/question/24319270

The bending moment is the algebraic sum of the moments about the section of all external forces that act either to the left or to the right of the section under consideration.

The generalized numerical formula for the shear force at a point x along the beam is

V = (5x + 1/12 x^2)/2, w

The bending moment is the algebraic sum of the moments about the section of all external forces that act either to the left or to the right of the section under consideration. The shear force at any section of the beam is equal to the rate of change of bending moment with respect to the length of the beam, that is,

V = dm/dx.

Here, the bending moment of a 12-m beam is

M(x) = 5x + 1/12x.

The objective is to determine the generalized numerical formula for calculating the shear force of a beam at length x using a 2-m interval.

To estimate the shear force for each 2-m segment of the beam, differentiate the moment equation with respect to x.

dM/dx = d/dx

(5x + 1/12 x) = 5 + 1/12.

Therefore, the shear force at any point x along the beam can be obtained by integrating dM/dx over a given length from the start of the beam.
∫(5 + 1/12)dx

= (5x + 1/12 x^2)/2 + C.

We can determine the constant of integration C by using the boundary condition that the shear force is zero at the start of the beam.

V(0) = 0

= (5*0 + 1/12 * 0^2)/2 + C.

Therefore, C = 0.

Hence the generalized numerical formula for the shear force at a point x along the beam is

V = (5x + 1/12 x^2)/2, w

here x is the length of the beam from the start.

To know more about bending moment visit:

https://brainly.com/question/30242055

#SPJ11

Answer:

$0.29 is the price difference

Step-by-step explanation:

Ten years ago, you could buy a loaf of bread for $1.21. Twenty years ago, you could buy a loaf of bread for $0.92.

Therefore, the expression's 48th component is the cost per scarf.

A mathematical expression is a sentence that has at least two variables or integers and one mathematical action. In mathematics, it is possible to multiply, divide, add, or remove. An expression's structure is (Mathematical Operator, Number or Variable, Expression).

Here,

In the following expression, 483 denotes the total number of scarves, and 48 is the cost per scarf. For each scarf order, customers are charged a $4.75 delivery fee:

The 48 denotes the price per scarf, as can be seen from the supplied.

To know more about expression , visit

brainly.com/question/14083225

#SPJ1

Answer:

slope is zero

Step-by-step explanation:

slope is the difference of the y-values over the difference of the x-values

(-3-(-3)) ÷ (5-2)

0/3

Rigid transformation are transformation that preserve the shape and size hence producing congruent figures such as translation, reflection and rotation.

Dilation is a non rigid transformation and does not produce congruent figures.

Transformation is the movement of a point from its initial location to a new location. Types of transformations are reflection, translation, rotation and dilation.

Rigid transformation are transformation that preserve the shape and size hence producing congruent figures such as translation, reflection and rotation.

Dilation is a non rigid transformation and does not produce congruent figures.

Find out more on transformation at: https://brainly.com/question/4289712

#SPJ1

Answer:

Step-by-step explanation:

Because the lines are perpendicular the slopes will be negtive

reciprocals of each other.  Thus slope of 3/8 becomes -8/3.

Using point slope formula:   y - y1 = m(x - x1)

Substitute the point given with the new slope and solve.

y - 5 = -8/3(x - 4)

y - 5 = -8/3x - - 32/3

y - 5 = -8/3x + 32/3

y - 5 + 5 = -8/3x + 32/3 + 5

y = -8/3x + 47/3

or

y = -8/3x + 15 2/3

it is false (  i have to waste some space)

Answer:

A: 18/81

Step-by-step explanation:

A: 18/81 = 0.222222222.....

B: 11/88 = 0.125

C: 1/5 = 0.2

D 5/8 = 0.625

Could you please give me brainiest for this? I just need 1 more to get to the next level. Thanks!

Answer:

The last one

Step-by-step explanation:

The last one is the only one in standard form.

Answer:

The first choice

Step-by-step explanation:

7/8 x + 3/4 = -6

6 (x/8) + 3/4 = -6

Answer:

1.20$

......................

Answer: 9 full journeys

Step-by-step explanation:

4.5 litres * 1.3 gallons = 5.8 litres of petrol

52 litres ÷ 5.8 litres of petrol = 8.9 journeys ≈ 9 full journeys

Using the midpoint method, the price elasticity of demand is approximately -0.67.

To calculate the price elasticity of demand using the midpoint method, we'll use the following formula:

Price Elasticity of Demand (Ed) = (% change in quantity demanded) / (% change in price)

First, let's find the percentage changes:

% change in quantity demanded = ((New Quantity Demanded - Old Quantity Demanded) / Midpoint of Quantities) * 100
= ((80 - 100) / ((100 + 80) / 2)) * 100
= (-20 / 90) * 100
= -22.22%

% change in price = ((New Price - Old Price) / Midpoint of Prices) * 100
= ((7 - 5) / ((5 + 7) / 2)) * 100
= (2 / 6) * 100
= 33.33%

Now, let's plug the values into the formula:

Ed = (-22.22% / 33.33%)
= -0.67

So, the price elasticity of demand is approximately -0.67.

More on midpoint method: https://brainly.com/question/28591293

#SPJ11

To be divisible by 5, the last digit needs to be 5 or 0.

To be divisible by 4 as well, your number will need to end with 20, 40, 60, 80, or 00.

To be divisible by 9, the digits need to add up to 9, 18, 27, 36, etc.

So, ending with 20, 6120 works, as does 5220, 4320, 3420, 2520, and 1620.

If we move the ending with 40, 1440 works, as does 2340, 3240, 4140, 5940, and 6840.

4500, 1000, and 1005

Answer:

11

Step-by-step explanation:

add up the exponents

3+1+1+4+2=11

varsitytutorscom

To find the average rate of growth of U.S. citizens aged 65 years and older between 2000 and 2050, we need to calculate R(6) - R(2), since 2000 corresponds to t = 10 and 2050 corresponds to t = 15.

R(6) - R(2) = (0.063(6)^2 - 0.48(6) + 3.87) - (0.063(2)^2 - 0.48(2) + 3.87)
R(6) - R(2) = 2.118 million people/decade

Similarly, to find the average rate of growth between 1950 and 2000, we need to calculate R(10) - R(5).

R(10) - R(5) = (0.063(10)^2 - 0.48(10) + 3.87) - (0.063(5)^2 - 0.48(5) + 3.87)
R(10) - R(5) = 5.136 million people/decade

To find how many times faster the average rate of growth will be between 2000 and 2050 compared to 1950 and 2000, we divide the former by the latter:

(2.118/5.136) = 0.412

Therefore, the average rate of growth of U.S. citizens aged 65 years and older between 2000 and 2050 will be about 0.41 times faster than that between 1950 and 2000.
To find the average rate of growth between 1950 and 2000, and 2000 and 2050, we first need to determine the population growth for each of these periods using the given formula R(t) = 0.063t² - 0.48t + 3.87.

For the period 1950 to 2000:
t1 = (2000 - 1900)/10 = 10 decades
R(t1) = 0.063(10²) - 0.48(10) + 3.87 = 50.87 million people/decade

For the period 2000 to 2050:
t2 = (2050 - 1900)/10 = 15 decades
R(t2) = 0.063(15²) - 0.48(15) + 3.87 = 106.62 million people/decade

Now, we will find how many times faster the average rate of growth is between 2000 and 2050 compared to that between 1950 and 2000:
Factor = R(t2) / R(t1) = 106.62 / 50.87 ≈ 2.09

So, the average rate of growth of U.S. citizens aged 65 years and older between 2000 and 2050 will be approximately 2.09 times faster than that between 1950 and 2000.

Learn more about rate of change here: brainly.com/question/29518179

#SPJ11

Answer:

11.25 miles

Step-by-step explanation:

To figure out how many miles John will travel in 1/2 an hour, we can use the following formula:

distance = rate x time

We know the rate, which is the number of miles John can travel per hour. We can find this by dividing the total distance by the total time:

rate = distance / time

rate = 45 miles / 2 hours

rate = 22.5 miles per hour

Now we can use this rate and the given time of 1/2 an hour to find the distance:

distance = rate x time

distance = 22.5 miles per hour x 1/2 hour

distance = 11.25 miles

Therefore, John will travel 11.25 miles in 1/2 an hour at this rate.