Sean is travelling. He has a flight of 3 hours 40 minutes, a stopover of 40 minutes and then another flight of 5.5 hours. What is his total travel time? Give your answer in hours and minutes.​

The partial derivatives with respect to x and y, we obtain dz/dx = cos(x - y) and dz/dy = -cos(x - y), respectively. When dz/dx and dz/dy are both zero, the crests and troughs are aligned.

The given water wave function is graphed as z = 1 + sin(x - y) using Mathematica. The crests and troughs of the wave are aligned in the direction of zero change in the height function, which can be determined by analyzing the partial derivatives. The steepest descent from a crest to a trough corresponds to the direction perpendicular to the alignment of crests and troughs. These conclusions are consistent with the graph of the wave.

The water wave function z = 1 + sin(x - y) represents a snapshot of a frozen water wave. To graph this function using Mathematica, the x and y coordinates are assigned appropriate ranges, and the resulting z-values are plotted.

To determine the alignment of the crests and troughs, we examine the rate of change of the height function. Taking the partial derivatives with respect to x and y, we obtain dz/dx = cos(x - y) and dz/dy = -cos(x - y), respectively. When dz/dx and dz/dy are both zero, the crests and troughs are aligned. Setting dz/dx = 0 gives cos(x - y) = 0, which implies x - y = (2n + 1)π/2, where n is an integer. This equation represents lines in the xy-plane along which the crests and troughs are aligned.  

For the steepest descent from a crest to a trough, we need to find the direction of maximum decrease in the height function. This direction corresponds to the negative gradient of the height function, which can be obtained by taking the partial derivatives dz/dx and dz/dy and forming the vector (-dz/dx, -dz/dy). Simplifying this vector, we get (-cos(x - y), cos(x - y)), which represents the direction perpendicular to the alignment of crests and troughs.    

Upon examining the graph of the wave, we can observe that the lines of alignment for the crests and troughs match the lines where the height function has zero change, confirming our conclusion from part (b). Similarly, the direction of steepest descent from a crest to a trough, indicated by the negative gradient, aligns with the steepest downward slopes on the graph.

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The volume of the solid is 64/3 cubic units.

To compute the volume of the solid, we integrate the area of the cross sections over the interval [0, 2] along the x-axis. The area of each cross section is given by the product of the height f(x) = 8x² and the width dx. Hence, we have:

V = ∫[0,2] f(x) dx

= ∫[0,2] 8x² dx

= [8(x³/3)] [0,2]

= 8(2³/3 - 0³/3)

= 8(8/3)

= 64/3

Therefore, the volume of the solid is 64/3 cubic units.

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Answer:

TRUE

Step-by-step explanation:

Answer: A. True

Step-by-step explanation: On Edge!

The number of clockwise loop arrangements for 3 objects is 2. This can be calculated by fixing one object and arranging the remaining two objects linearly, resulting in (2!) = 2 possible arrangements.

To calculate the number of clockwise loop arrangements for 3 objects, we can use the formula:

n! / (n - r)

where n is the total number of objects and r is the number of objects in each arrangement.

In this case, we have 3 objects (A, B, and C) and we want to find the number of clockwise loop arrangements. Since it's a loop, the order matters, but there is no distinct beginning or end. Therefore, we can fix one object and arrange the remaining two in a linear fashion. This linear arrangement can be done in (2!) = 2 ways.

For example, fixing object A and arranging B and C linearly, we can have two arrangements: BC and CB. Similarly, fixing B and arranging A and C linearly gives AC and CA, and fixing C gives AB and BA.

Hence, the number of clockwise loop arrangements for 3 objects is 2.

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9514 1404 393

Answer:

  y = (x + 7)(x − 7)

Step-by-step explanation:

If 'a' is a zero, then (x -a) is a factor.

If 7 and -7 are zeros, then (x -7) and (x +7) are factors. The appropriate choice is ...

  y = (x + 7)(x − 7)

Answer:

D

Step-by-step explanation:

y = (x+7) (x-7)

Answer:

yrdjdhngessrhmsrymftfyhstdfkdtjyrarddtgjgbfffhr jganntfbeakye no tengo ru tkm re e

The average speed, in miles per hour, of the car for the 20 miles is 37.5 mph

Average speed v = d/t where

Making t subject of the formula, we have

t = d/v

Now when the car travels 10 miles at an average speed of 30 miles per hour,

So, t = d/v

= 10/30

= 1/3 h

Also, when the car travels the next 10 miles at an average speed of 50 miles per hour,

So, t' = d'/v'

= 10/50

= 1/5 h

The total time for the 20 miles is T = t + t'

= 1/3 h + 1/5 h

= (5 + 3)/15 h

= 8/15 h

So, the average speed for the 20 miles is v = D/T where

So, v = D/T

v = 20 mi ÷ 8/15 h

v = 20 × 15 mi/8 h

v = 2.5 × 15 mi/h

v = 37.5 mph

So, the average speed, in miles per hour, of the car for the 20 miles is 37.5 mph

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Answer:

11m/min

Step-by-step explanation:

slope of the line = velocity of the turtle

slope = y/x

= 55/5

=11

Answer:

11

Step-by-step explanation:

55 meters by 5 minutes, so divide 55 by 5 to find one minute.

55/5 = 11

Answer:

Step-by-step explanation:

You want to know the number of panels and posts needed for a 40 ft fence comprised of 8 ft panels, with a post between panels and at each end of the fence.

The number of panels needed is ...

  (40 ft)/(8 ft/panel) = 40/8 panels = 5 panels

The 5 panels will have 2 ends and 4 spaces, requiring 2 + 4 = 6 posts.

  o ---- o ---- o ---- o ---- o ---- o

A club is forming a committee to plan its annual Holiday Dance. One person will serve as Chair of the committee, another will be Vice-Chair and there will be two other members.  this is an example of a combination

Combining is a way of calculating the total score for an event, regardless of the order of the scores. To calculate the combination, use the formula nCr = n! /r! * (n - r)!, where n is the total number of items and r is the number of items selected at one time.

The combination is a mathematical technique that determines the number of possible arrangements within a collection of items, regardless of the order of selection.

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Answer:

25x^10

Step-by-step explanation:

Answer: 25x^10

Step-by-step explanation:

Answer:

m' (-2, 4)

n' (-2, 1)

o' (3, 1)

p' (3, 4)

Step-by-step explanation:

The probability a state highway inspector could select a sample of 50 trucks is option 1 which is 0.1251

Population mean = 15.8

Population standard deviation = 9.2 ,

n = 50

To find : P( xbar < 14.3 )

We know, xbar ~ N( μ , σ / √(n) )

P( Z < ( 14.3 - 15.8 ) / 9.2/ ( √50 ) ) = P( Z < -1.5/ 1.3010 ) = P( Z < -1.15)  

= 1 - P( Z < 1.15)  

= 1 - 0.87493  (Standard normal probability table)

= 0.12507 = 0.1251

Hence the correct option is option (1) which is 0.1251

A standard deviation (or σ) is a proportion of how distributed the information is corresponding to the mean. A low standard deviation implies information is bunched around the mean, and an exclusive requirement deviation demonstrates information is more fanned out.

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Answer:

We should know that the basic rules of equality(only addition and multiplication) can also be followed in inequalities no matter which inequalities they are(whether strict or slack).

Inequalities behave in some another ways when we multiply the whole expression by the negative real number.

so let's come to the question :

14 >= t + 5 >= -9

so, 14-5 >= t >= -9-5

so, 9 >= t >= -14

we come to the conclusion that,

t <= 9 and t >= -14

t belongs to [-14,9]

u^3 + 8 factors as (u + 2)(u^2 + 2u + 4) is explained by kuta software infinite algebra as

x^3 + 125

To factor this expression, we can use the formula for the difference of cubes:

a^3 + b^3 = (a + b)(a^2 - ab + b^2)

We can set a = x and b = 5:

x^3 + 125 = (x + 5)(x^2 - 5x + 25)

So x^3 + 125 factors as (x + 5)(x^2 - 5x + 25).

a^3 + 64

To factor this expression, we can use the formula for the sum of cubes:

a^3 + b^3 = (a + b)(a^2 + ab + b^2)

We can set a = a and b = 4:

a^3 + 64 = (a + 4)(a^2 + 4a + 16)

So a^3 + 64 factors as (a + 4)(a^2 + 4a + 16).

x^3 - 64

To factor this expression, we can use the formula for the difference of cubes:

a^3 - b^3 = (a - b)(a^2 + ab + b^2)

We can set a = x and b = 4:

x^3 - 64 = (x - 4)(x^2 + 4x + 16)

So x^3 - 64 factors as (x - 4)(x^2 + 4x + 16).

u^3 + 8

To factor this expression, we can use the formula for the sum of cubes:

a^3 + b^3 = (a + b)(a^2 + ab + b^2)

We can set a = u and b = 2:

u^3 + 8 = (u + 2)(u^2 + 2u + 4)

So u^3 + 8 factors as (u + 2)(u^2 + 2u + 4).

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Answer:

24r

Step-by-step explanation:

2(7r + 5r)

Combine 7r and 5r to get 12r.

2 × 12r

Multiply 2 and 12 to get 24.

24r

Answer:

24r

Step-by-step explanation:

2 times 7r = 14r

2 times 5r = 10r

14r + 10r = 24r

Answer:

Step-by-step explanation:

we know that density is given as

density=mass/volume

the volume of the cylinder

v= πr^2h

v=3.142*1.5^2*14.4

v=3.142*2.25*14.4

v=101.8cm^3

Given that density =0.00123g/cm^3

mass= density*volume

masss= 0.00123*101.8

mass= 0.125214 g

This gives us an estimated probability of approximately 0.00006, or 0.006%.

Without knowing any further information about the distribution or characteristics of the population, it is impossible to provide an accurate estimate of the probability of observing exactly 39 blue eyed blonde haired people in a group of a certain size.

However, if we assume that the two variables (eye color and hair color) are independent and randomly distributed within the population, then we can use the binomial distribution to estimate the probability of observing exactly 39 people with both blue eyes and blonde hair in a group of a certain size.

The formula for the binomial distribution is:

\(P(X = k) = (n choose k) \times p^k \times (1-p)^{(n-k)\)

Where:

P(X = k) is the probability of observing exactly k successes (in this case, 39 blue eyed blonde haired people)

n is the total number of trials (the size of the group)

k is the number of successes (39)

p is the probability of success (the probability of observing someone with blue eyes and blonde hair in the population)

Since we don't have any specific information about the population, we can't determine p directly. However, if we assume that the probability of someone having blue eyes is 0.2 and the probability of someone having blonde hair is 0.25 (which are rough estimates based on global averages), then we can estimate the probability of someone having both blue eyes and blonde hair as:

p = 0.2 × 0.25 = 0.05

Assuming a group size of 1000 people, we can use the binomial distribution to estimate the probability of observing exactly 39 blue eyed blonde haired people as:

\(P(X = 39) = (1000 choose 39) \times 0.05^{39} \times (1-0.05)^{(1000-39)}\)

This gives us an estimated probability of approximately 0.00006, or 0.006%. However, it's important to note that this is just an estimate based on certain assumptions, and the true probability could be higher or lower depending on the actual characteristics of the population.

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The distance between the points A=(-7,-7) and B=(-3,-1) is 7.21 units.

We can use the distance formula to find the distance between points A=(-7,-7) and B=(-3,-1) on the coordinate plane.

The distance formula is:

d = √((x2 - x1)^2 + (y2 - y1)^2)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

Substituting the values we have, we get:

d = √((-3 - (-7))^2 + (-1 - (-7))^2)

= √((4)^2 + (6)^2)

= √(16 + 36)

= √(52)

≈ 7.21

Therefore, the distance between points A=(-7,-7) and B=(-3,-1) is approximately 7.21 units.

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The process in which a number is changed, such as by adding, subtracting, dividing or multiplying is called mathematical operation.

A mathematical operation is a process that changes a number in some way. The most common mathematical operations are:

Addition is adding two or more numbers together to find their sum.

Subtraction is finding the difference between two numbers by subtracting one from the other.

Multiplication is finding the product of two or more numbers by multiplying them together.

Division is finding the quotient of two numbers by dividing one by the other.

In addition to these basic operations, there are also other mathematical operations such as modulo, exponentiation, and square roots.

These operations are used to perform various mathematical calculations and are fundamental to many areas of mathematics, including algebra, calculus, and geometry. They are also used in many real-world applications, such as in finance, engineering, and science.

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Answer:

The distance should be 10 I believe

Vanessa would need to drink about ten cups of liquid to replace the weight she lost while running.

The amount of water needed to be drank is approximately 2 cups of water are required for every pound of body weight reduced.

Vanessa would need to drink about ten cups of liquid to replace the weight she lost while running.

Refilling fluid: To add fluid to something that has been drained, in particular: to replace any fluids the body has lost from dehydration. assist a patient in hydrating.

Oral rehydration solutions (ORSs), which include Pedialyte, are used to treat dehydration. ORSs, which help replace lost fluids, include the correct ratio of salt, sugar, potassium, and other minerals.

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Complete question - A general rehydration recommendation after exercise is 2.5 cups of fluid for every 1 pound of body weight lost. Using this guideline, how much fluid would Vanessa need to consume to make up for the weight that was lost during her run?

Calculation: 2 cups x lbs of body weight lost = cups of water needed

A. Approximately 4 cups of fluid

B. Approximately 8 cups of fluid

C. Approximately 6 cups of fluid

D. Approximately 10 cups of fluid

7. Vanessa asks if she should start using sports drinks. Which of the following would best answer Vanessa's question?

A. A sports drink is not beneficial for you at this time and may provide unnecessary calories.

B. A sports drink would be beneficial to replace fluid and electrolytes when exercising for less than 30 minutes.

C. A sports drink would be beneficial on days when you are exercising for over an hour at a higher intensity.

8. If Vanessa uses a sports drink in the future, how much glucose, sodium and potassium should be provided per 24 fluid ounces of sports drink?

A. No more than 30 g of glucose, 450 g of sodium and 225 mg of potassium.

B. No more than 75 g glucose, 150 mg sodium, 175 mg potassium.

C. No more than 15 g of glucose, 500 mg sodium, 200 mg potassium.

D. No more than 45 g of glucose, 225 mg of sodium and 275 mg of potassium.

To determine the required number of complete rotations the motor makes, we need to divide the total rotation angle (6480°) by 360°, which represents one complete rotation.

Number of complete rotations = Total rotation angle / 360°

Number of complete rotations = 6480° / 360°

Number of complete rotations = 18

Therefore, the stepper motor makes 18 complete rotations.

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:According to the question:You are working with a population of crickets. Before the mating season you check to make sure that the population is in Hardy-Weinberg equilibrium, and you find that the population is in equilibrium.

During the mating season you observe that individuals in the population will only mate with others of the same genotype (for example Dd individuals will only mate with Dd individuals). There are only two alleles at this locus ( D is dominant, d is recessive), and you have determined the frequency of the D allele =0.6 in this population. Selection acts against homozygous dominant individuals and their survivorship per generation is 80%. After one generation the frequency of DD individuals will decrease in the population.

According to the Hardy-Weinberg equilibrium equation p² + 2pq + q² = 1, the frequency of D (p) and d (q) alleles are:p + q = 1Thus, the frequency of q is 0.4. Here are the calculations for the Hardy-Weinberg equilibrium:p² + 2pq + q² = 1(0.6)² + 2(0.6)(0.4) + (0.4)² = 1After simplifying, it becomes:0.36 + 0.48 + 0.16 = 1This means that the population is in Hardy-Weinberg equilibrium. This is confirmed as the frequencies of DD, Dd, and dd genotypes

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Answer:

option c

volume of right circular cone=1/3 *(pi)* r*r *h

Answer:

26/3

Step-by-step explanation:

First, you need to turn the fractions from mixed form to improper fractions.

3 1/4 x 2 2/3

13/4 x 8/3

13/4 x 8/3

= 26/3

The required image of the given point (12, -4) dilation by a scale factor of 1/4 and centered at the origin is (-3, 1)

Coordinate, is represented as the values on the x-axis and y-axis of the graph

Given that,

To determine the image of  (12, -4) after dilation by a scale factor of 1/4 centered at the origin.

For the point, we have a dilation factor of 1/4,

So dilated coordinate,

= (1/4(12),   1/4(-1))

= (3, -1)

To form the image across the origin

= - (3, -1)

= (-3, 1)

Hence, the required image of the given point (12, -4) with a scale factor of 1/4 and centered at the origin is (-3, 1)

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Answer:

No this is not a function because of the two 4 in the x values.