two boats leave a dock at the same time. one boat travels south at and the other travels east at . after half an​ hour, how fast is the distance between the boats​ increasing?

Answers

Answer 1

After half an hour the two boats will be at a distance of 68 mph

Given,

Both boats are moving in a direction that creates a right angle triangle. The lengths of the triangle's legs are the distances that both boats travelled going straight south and straight east. The hypotenuse of a right angle triangle is the distance between them after t hours.

Let x stand for the length of the triangle's shorter south leg.

Let y stand for the length of the right angle triangle's longer (east) leg.

Assume that z is the hypotenuse.

Using the Pythagorean theorem

Hypotenuse² = opposite side² + adjacent side²

Therefore

z² = x² + y²

We would discriminate with regard to t in order to ascertain the speed of the distances' alterations.

It develops,

2zdz/dt = 2xdx/dt + 2ydy/dt- - - -- - -1

One travels south at 32 mi/h and the other travels east at 60 mi/h. It means that

dx/dt = 32

dy/dt = 60

Distance = speed × time

Since t = 0.5 hour, then

x = 32 × 0.5 = 16 miles

y = 60 × 0.5 = 30 miles

z² = 16² + 30² = 256 + 900

z = √1156z = 34 miles

Substituting these values into equation 1, it becomes

2 × 34 × dz/dt = (2 × 16 × 32) + 2 × 30 × 60

68dz/dt = 1024 + 3600

68dz/dt = 4624

dz/dt = 4624/68

dz/dt = 68 mph

Therefore,

The distance between the boats after half an hour is 68 mph

Learn more about distance between the boats here;

https://brainly.com/question/16955861

#SPJ4

Completed question is given below with missing parts.

Two boats leave a dock at the same time. One boat travels south at 32 mi divided by hr32 mi/hr and the other travels east at 60 mi divided by hr60 mi/hr. After half an​ hour, how fast is the distance between the boats​ increasing?


Related Questions

I do not understand what I am supposed to do

Answers

Check the picture below.

Brandon went to the store to buy some walnuts. The price per pound of the walnuts is $6.50 per pound and he has a coupon for $3.75 off the final amount. With the coupon, how much would Brandon have to pay to buy 5 pounds of walnuts? Also, write an expression for the cost to buy
p
p pounds of walnuts, assuming at least one pound is purchased.

Answers

Answer:

Step-by-step explanation:

$28.75

If Amy is tardy, then she will get a detention

Write the CONTRAPOSITIVE of this statement

Answers

Answer:If Amy is not tardy, then she will not get a detention

Step-by-step explanation:

a survey of patients at a hospital classified the patients by gender and blood type, as seen in the two-way table. gender blood type male female total a 105 93 198 b 99 84 183 o 160 140 300 ab 15 18 33 total 379 335 714 based on the data, what percent is the probability that a female patient will have type-o blood? round your answer to the nearest tenth of a percent.

Answers

The percent of the probability that a female patient will have type-o blood is 46.7%

To know the percent of female patients who will be having type 0 blood, all you have to do is divide the number of female patients with O-blood type by the total number of patients with O-blood type. Then finally you will have to multiply the quotient by 100 to get the percent as follows:

number of females with o-blood type = 140 Females

total number of patients with o-blood type = 300 patients

Percentage of Females with o-blood type = (140/300) * 100 = 46.7%

Learn more about Probability and statistics here:https://brainly.com/question/10734660

#SPJ4

Find the slope of points passing through -2, 2 and -8, 5

Answers

Answer:

-1/2

Step-by-step explanation:

Slope= [tex]\frac{y_{2}-y_{1} }{x_{2}- x_{1} }[/tex].

(5-2)/(-8+2)

Simplify:

3/-6

-1/2

PLEASE MARK AS BRAINLIEST

the average age of 33 fifth-graders is 11. the average age of 55 of their parents is 33. what is the average age of all of these parents and fifth-graders?

Answers

Since, the average age of 33 fifth-graders is 11. the average age of 55 of their parents is 33. The average age of all of these parents and fifth graders is 24.75.

Average age of the population calculated as the arithmetic mean. Another parameter determining the average age of the population is the median age. High-level terms.

Given In the question:

Average age of 33 fifth graders is 11 years.

Average age of parents is 33 Years.

Therefore,

The sum of the ages of the fifth graders is 33 × 11,

and, the sum of the ages of the parents is 55 × 33.

Therefore, the total sum of all their ages must be 2178,

and given 33 + 55 = 88 people in total, their average age is

                                  = 2178/88

                                  = 99/4

                                  = 24.75    

Learn more about Average Age:

https://brainly.com/question/14208748

#SPJ4

at what rate is the angle between a​ clock's minute and hour hands changing at 10 ​o'clock in the ​morning?

Answers

The angle between a clock's minute and hour hands changing at 10 o'clock in the morning is 5.5 degrees/minute.

what is the rate of change in calculus?

The rate of change defines the relationship between two changing variables. Consider a moving object that moves twice as much in the vertical direction (y) as it does in the horizontal direction (x). This can be expressed mathematically as y = 2x.

Let 'θ' represent the angle between the minute and hour hand.

Let θ1 be the angle between the minute hand and 12.

                     [tex]\frac{d\theta_2}{dt}=\frac{1}{60*12}\times2\pi\\\\\frac{d\theta_2}{dt}=\frac{\pi}{360}[/tex](Between hour hand and 12)

       

                     [tex]\theta=\pm(\theta_1-\theta_2)\\\\\frac{d\theta}{dt}=\pm(\frac{d\theta_1}{dt}-\frac{d\theta_2}{dt})\\\\\frac{d\theta}{dt}=\pm(\frac{\pi}{30}-\frac{\pi}{360})\\\\\frac{d\theta}{dt}=\pm5.5$ degree$[/tex]

Hence the angle between a clock's minute and hour hands changing at 10 o'clock in the morning is 5.5 degrees/minute.

To learn more about the rate of change in calculus, visit:

https://brainly.com/question/96116

#SPJ4

in comparing the galilean transformations with the lorentz transformations, what multiplicative factor appears in the lorentz transformations that is not in the galilean ones?

Answers

In Lorentz transformations we have velocity based factors that is not present in Galilean ones.

What is lorentz transformations?

The relationship between two distinct coordinate frames that are moving relative to one another at a constant speed is known as a Lorentz transformation. Dutch physicist Hendrik Lorentz is credited with coining the name of the transformation. There are two frames of reference: Inertial Frames, which refer to motion that has a constant speed.

What are Galilean transformations?

The relationship between two distinct coordinate frames that are moving relative to one another at a constant speed is known as a Lorentz transformation. Dutch scientist Hendrik Lorentz is credited with coining the term transformation. There are two frames of reference: Inertial Frames, which relate to motion that has a constant speed.

Any and all rulers and other self-contained length standards, such as those you might use to set up a measurement frame, can be contracted in length based on velocity. This results in the Lorentz factor at the place in the LT.

Any and all clocks and other physically independent systems, such as those used to record events in a measurement frame, are subject to velocity time dilation. As a result, the LF is temporarily in the LT.

The fact that applying Einstein synchronisation individually for each measurement frame turns out to be natural. Consequently, the position-dependent synchronisation offset between the clocks of one measurement frame and those of the other is represented by the enigmatic second term in the LT for the time.

To learn more about transformations click the following link :-

https://brainly.com/question/1548871

#SPJ4

Help how do i answer this problem

Answers

Answer:

1. EF ≈ 22.00

2. m∠E ≈ 36.20°

3. m∠F ≈ 53.81°

Step-by-step explanation:

1. Use the trigonometric function sine.

sin(60°) = EF / 25.4

EF = 25.4 sin(60°)

EF ≈ 22.00

2. Use the inverse of the trigonometric function sine (denoted arcsin).

sin(m∠E) = 15/25.4

m∠E = arcsin(15/25.4)

m∠E ≈ 36.20°

3. Use the inverse of the trigonometric function cosine (denoted arccos).

cos(m∠F) = 15/25.4

m∠F = arccos(15/25.4)

m∠F ≈ 53.81°

In ΔNOP, p = 490 inches, ∠N=57° and ∠O=55°. Find the length of n, to the nearest inch.

Answers

Using law of sine and triangle rule, the value of n will be; 443 inches

What is Sine Rule?

The law of sines establishes the relationship between the sides and angles of an oblique triangle(non-right triangle). Law of sines and law of cosines in trigonometry are important rules used for "solving a triangle".

We can apply the sine rule to find the missing angle or side of any triangle using the requisite known data.

The formula is given as;

a / sin A = b / sin B = c / sin C

In this triangle NOP, we can find the value of angle P then;

∠N +  ∠O  +  ∠P = 180

57 + 55 +  ∠P = 180  :

since Sum of angles in a triangle is equal 180 degrees

∠P= 180 - 112

∠P = 68

Using law of sine;

p / sin P = n / sin N

490 / sin68 = n / sin57

n = [(490 x sin 57) / sin 68]

n = 443 inches

Learn more on sine rule here;

brainly.com/question/4372174

#SPJ1

Of people who died in the United States in recent years, 86% were white, 12% were black, and 2% were Asian. (This ignores a small number of deaths among other races.) Diabetes caused 2.8% of deaths among white people, 4.4% among black people, and 3.5% among Asians. What is the probability that a randomly chosen death is a white person who died of diabetes? (Round your answer to three decimal places.)

Answers

The probability that a randomly chosen death is a white person who died of diabetes is 0.024 determined using the law of total probability.

The law of total probability is a fundamental rule that connects marginal probabilities to conditional probabilities and expresses the total probability of an outcome via several distinct events. The rule states that if the probability of an event is unknown, it can be calculated using the known probabilities of several distinct events. It is given by P(A ∩ B) = P(A|B)P(B)

In order to determine the probability of an event (D) with not enough information to calculate it directly, a related event, say W can be taken and use that to calculate the probability for D.

Let the events that a person from a certain race die be denoted as:

P(W) = 0.86; P(B) = 0.12; P(A) = 0.02

Let the events that a person from a certain race dies of diabetes be denoted as:

P(D/W) = 0.0.028; P(D/B) = 0.044; P(D/A) = 0.035

Probability that a randomly chosen death is a white person who died of diabetes

P(W) x P (D/W) = 0.86 x 0.028 = 0.02408 ≈ 0.024

Learn more about The law of total probability:

https://brainly.com/question/29525746

#SPJ4

Maya spent 40% of her savings to pay for a bicycle that cost her $85. How much money was in her savings, to begin with? How much does she have left after buying the bicycle?

Answers

Answer: 212.50

Step-by-step explanation: she has 60% or  127.5

Please hurry!!!! 50 points!
The diameter of a regulation soccer ball is about 8 3/5 inches. This number was graphed on a number line. (Ill show the number line below) With point could be the point representing the graph of the diameter of the ball?

Answers

Answer:

D

Step-by-step explanation:

8 3/5 is a number greater than 8 but minor than 9

Answer:-9.9   -7 7.9 9.7

Step-by-step explanation:

3(4x2) 5x = 6-7(-x-2)

Answers

Answer:

24

Step-by-step explanation:

Hey!, can you pls help me? I've been stuck on this for a long time...

Answers

y=1/2x-4 and y=3/2x+2

the function f(x) = –0.3x2 + 2.5x + 5 can be used to approximate the distance a thrown ball is from the ground, where x is the distance between the ball and the person throwing the ball. the mathematical domain of the function is all real numbers.

Answers

The mathematical domain of the function is 0<or = 5<or = -0.3

What is a simple definition of function?

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.

What is the main meaning of function?

the type of behavior that is appropriate for a given person, object, or institution; the reason why something exists; a role. any formal event or gathering that is public or social. a variable connected to or reliant upon another variable: A price depends on both supply and demand.

According to the above statements:-

The mathematical domain of the functions are:-

0<or = 5<or = -0.3

To know more about mathematical domain click the following link:-

https://brainly.com/question/25638609

#SPJ4

Help me pls 1,2,and 3 plssssssssssssssss
it's from statistical reasoning

Answers

i did it but i don’t know how to show you i did it on paper

jessica has a die with 10 sides, another with 13 sides, and a third one with 5 sides. she rolls the three dice once. let z be the number of ones showing. find the expectation of z using the indicator method.

Answers

Jessica has three dice with 10 sides, 13 sides and 5 sides respectively and she rolls all dice once and if Z is number of ones occur then

The expectation value i.e, E(Z) is 0.376 and variance V[Z] = 0.321..

Indicator method :

This is a powerful way to find expected counts. This follows from the observation that the number of "good" outcomes in a trial can be counted by first coding each "good" outcome as one, coding each other outcome as zero, and then adding 1 and 0.

let X₁ be the outcome of a 10 sided die

X₂ be the outcome of 13 sided die

X₃ be the outcome of 5 sided die

let l₁ ,I₂ ,I₃ be three indicator functions such that

I₁ =1 if X₁ = 1

=0 otherwise

I₂ = 1 if X₂ = 1

=0 otherwise

I₃ = 1 if X₃ = 1

=0 otherwise

so Z denotes the number of ones showing when the three dice are rolled once.

so Z=I₁ +I₂ +I₃

so E[Z]=E[I₁]+E[I₂]+E[I₃]

so E[I₁]=1×P[X₁=1] = 1/10

E[I₂]=1×P[X₂=1] = 1/13

E[I₃]=1×P[X₃=1] = 1/5

so, E[Z]=1/10+1/13+1/5=49/130 = 0.3769

the variance = V[Z] = V[I₁]+V[I₂]+V[I₃] since the outcomes of the 3 different die are independent to each other hence no covariance term.

V[I₁]= 1²P[X₁=1]- E²[I₁]=1/10 -(1/10)²= 0.09

V[I₂]= 1²P[X₂=1]- E²[I₂]=1/13-(1/13)²= 12/169 = 0.071

V[I₃]= 1²P[X₃=1]- E²[I₃]=1/5 -(1/5)²= 4/25 = 0.16

so V[Z]= 0.09 + 0.071 + 0.16 = 0.321

Hence, the expectation value i.e, E(Z) is 0.3769..

To learn more about Indicator method , refer:

https://brainly.com/question/19339369

#SPJ4

a small combination lock on a suitcase has ​wheels, each labeled with the 10 digits from 0 to 9. if an opening combination is a particular sequence of digits with no​ repeats, what is the probability of a person guessing the right​ combination?

Answers

The probability of a person guessing the right combination be

1/720.

Given, a small combination lock on a suitcase has ​wheels, each labeled with the 10 digits from 0 to 9.

we have to find the probability of a person guessing the right combination if there is no repeating of any digit.

as, we need three digit number to unlock the suitcase.

total combinations of the lock be,

10×9×8

= 720

only one combination can open the suitcase,

So, the probability of a person guessing the right combination be

1/720.

Hence, the probability of a person guessing the right combination be

1/720.

Learn more about Probability here https://brainly.com/question/27745646

#SPJ4

I need help right now!! The assignment I’m doing is about solving problems using division assignment!

Answers

Answer:

A

Step-by-step explanation:

The others involve more multiplication and addition/subtraction rather than division.

y+8>10 solve the following inequality

Answers

Answer:

y>2

Step-by-step explanation:

subtract 8 on both sides

Answer:

y > 2

Step-by-step explanation:

y + 8 > 10

Subtract 8 from both sides.

y > 10 - 8

y > 2

given a point p(x,y), if you change the sign of its x coordinate and y- coordinate, what will happen to the location of the point?

Answers

If the given point is p(x, y) and change the sign of its x coordinates and y coordinates, then the new location will be on third quadrant

The coordinates of the point p = (x, y)

In the graph, there are four quadrants.

In first quadrant the x axis value and y  axis value will be positive. In second quadrant the value of x will be negative and y will be positive. In the third quadrant the value of and y will be negative. In fourth quadrant the value of x will be positive and y will be negative

Here at first both x and y are positive and it will be on first quadrant. The the sign of the x coordinates and y coordinates will change sign. So both of them will be negative.

Therefore, the location of will be on third quadrant

Learn more about quadrant here

brainly.com/question/10219653

#SPJ4

stocks a and b each have an expected return of 12%, a beta of 1.2, and a standard deviation of 25%. the returns on the two stocks have a correlation of 0.6. portfolio p has 50% in stock a and 50% in stock b. which of the following statements is correct?

Answers

The correct answer is The standard deviation for Portfolio P is less than 25

This response is accurate because a portfolio made up of two stocks with a correlation of less than one will always have a standard deviation that is lower than the standard deviation of the stocks added in accordance with their weight in the portfolio. For example, in this scenario, both stocks have a weight of 50% and a standard deviation of 25%, so their sum will be.

The portfolio standard deviation will be smaller than 25% since (0.5*25%) + (0.5*25%) = 25%.

Therefore, the standard deviation for Portfolio P is less than 25

To learn more about standard deviation click here:

brainly.com/question/16555520

#SPJ4

three less than the product of negative 12 1/2 and 4.8

Answers

Answer:

- 63

Step-by-step explanation:

Let's translate the sentences into expressions:

1. "product of negative 12 1/2 and 4.8" means:

      (-12 1/2)*(4.8)

    I'll simplify this by stating (-12.5)*(4.8)

2.   "three less than" means subtract 3, or

      -3

Now combine the two expressions:

   (-12.5)*(4.8) - 3

   (-60) - 3

= - 63

what is the difference between the critical value of z and the observed value of z (test statistic)?

Answers

The critical value of z separates the rejection region from the nonrejection region while observed value of z is the value calculated for a sample statistic such as x.

A critical value of z is used when the sampling distribution is normal, or close to normal. The critical value of z refers to the point that cuts off area under graph for the standard normal distribution separating the rejection and nonrejection region of the data. The Critical value of z can indicate what probability any particular variable will have. These values are typically obtained from a table such as the standard normal distribution table. The observed value of z is a value determined for a sample statistic x. It is a test statistic for Z-tests that measures the difference between an observed statistic and its hypothesized population parameter in units of the standard deviation.

Learn more about Critical value of z:

https://brainly.com/question/15728178

#SPJ4

A problem solving method that involves trying all possible solutions until one works is using ___________. a. an algorithm b. trial-and-error c. deductive reasoning d. a heuristic please select the best answer from the choices provided a b c d

Answers

The correct option  b. trial-and-error, is employed in the approach to issue solving that entails testing each potential solution until one is successful.

Explain the term trial-and-error?

Trial and error is attempting a way, seeing if it succeeds, and trying a different method if the first one doesn't.

Up till a solution or achievement is achieved, this procedure is repeated.A process of trying out several methods and recognizing and removing mistakes or reasons for a failure to determine the best strategy to achieve a goal or the best answer. also: attempting various things till something works. Finding the optimal approach to get the intended result through trial and error involves identifying and eradicating faults or failures using a variety of experimental methodologies.

Thus, trial-and-error, is employed in the approach to issue solving that entails testing each potential solution until one is successful.

To know more about the trial-and-error, here

https://brainly.com/question/25395113

#SPJ4

consider slotted aloha with nodes retrying with probability p a. recall that when there are n active nodes, the probability that any node has successful transmission is np(1 − p)n−1. find the value of p that maximizes this expression. show your work. b. using the value of p found in (a), find the efficiency of slotted aloha by letting n approach infinity.

Answers

The efficiency of slotted aloha by letting n approach infinity is 1/e and the maximum value of probability is 1/n.

Given that:

No. of nodes = (n)

The efficiency of slotted aloha by letting n approach infinity is E (p)= np(1-p)^(n-1).

By derivation,

E' (p) =  n(1-p)^(n-1) - np(n-1)(1-p)^(n-2)

E' (p) =  n(1-p)^(n-2) x [(1- p) - p(n-1)]

E' (p) =  n(1-p)^(n-2) x [1-np]

Let E'(p) =0

i.e. Either,  n(1-p)^(n-2) = 0

=> p = 1 (minima)

Or [1-np] = 0

=> p = 1/n (maxima)

So, for the value of p* = 1/n, we can maximize this expression.

When  p = 1/n, the efficiency of slotted aloha is

E(p*) = n.1/n (1-1/n)^(n-1)

E(p*) = (1-1/n)^(n-1)

E(p*) = (1-1/n)^n/(1-1/n)

Since, [tex]\lim_{n \to \infty} (1-1/n) = 1\\[/tex]

[tex]\lim_{n \to \infty} (1-1/n)^n = 1/e[/tex]

So, when n approaches infinite,

Efficiency =>  [tex]\lim_{n \to \infty} E(p*) = 1/e[/tex]

To learn more about the probability visit: https://brainly.com/question/11234923

#SPJ4

Avery is a songwriter who collects royalties on her songs whenever
they are played in a commercial or a movie. Avery will earn $40 every
time one of her songs is played in a commercial and she will earn $140
every time one of her songs is played in a movie. Avery earned a total
of $480 in royalties on 7 commercials and movies. Determine the
number of commercials and the number of movies on which Avery's
songs were played.
Avery's songs were played on
commercials and
movies.

Answers

The number of movies on which Avery's songs were played is 2 times

How to determine the number of movies on which Avery's songs were played.

From the question, we have the following parameters that can be used in our computation:

Songs played in commercial = $40

Songs played in movie = $140

Total earnings = $480

Number of times played on commercial = 7

The above parameters when represented as an equation is

Total earnings = Songs played in commercial * Number of times played on commercial + Songs played in movie * Number of times played in a movie

Substitute the known values in the above equation, so, we have the following representation

40 * 7 + 140 * Number of times played in a movie = 480

Evaluate the products

280 + 140 * Number of times played in a movie = 480

So, we have

Number of times played in a movie = 200/140

Evaluate

Number of times played in a movie = 2

Hence, the number of times is 2 times

Read more about equations at

https://brainly.com/question/2476251

#SPJ1

Which graph represents the step function f(x)=⌊x+1⌋ ?

Answers

The graph which represents the equation f ( x ) = [ x + 1 ] is Option 4.

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = [ x + 1 ]

The function f ( x ) can be written as

y = [ x + 1 ] , where the equation f ( x ) = y

Substituting the value for x , we get

a)

when x = 0

The value of equation is

y = [ x + 1 ]

y = [ 0 + 1 ]

y = 1

So , the coordinates are ( 0 , 1 )

b)

when x = 1

The value of equation is

y = [ x + 1 ]

y = [ 1 + 1 ]

y = 2

So , the coordinates are ( 1 , 2 )

c)

when x = 2

The value of equation is

y = [ x + 1 ]

y = [ 2 + 1 ]

y = 3

So , the coordinates are ( 2 , 3 )

d)

when x = -1

The value of equation is

y = [ x + 1 ]

y = [ -1 + 1 ]

y = 0

So , the coordinates are ( -1 , 0 )

Hence ,

On plotting the points in the graph , we get the equation as y = x + 1

And the solution is Option D.

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ1

what is an equation of the line that passes through the point (4,-3)(4,−3) and is perpendicular to the line 4x y

Answers

The equation of the line is [tex]y = -\frac{3}{4}x[/tex].

What is the equation of a line?

A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis. On the y-axis, this value c is referred to as the intercept.

We have,

the line passes through the point (4,-3),

the points perpendicular to the line 4x - 3y = 3

The equation of a line in slope-intercept form is y = mx + c ( m is the slope and c is the y-intercept).

rearrange 4x - 3y = 3 into this form

subtract 4x from both sides

- 3y = - 4x + 3 ( divide all terms by - 3 )

[tex]y = \frac{4}{3}x - 1[/tex] ← in slope-intercept form

with slope m = 4/3,

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular} = \frac{1}{-m} = \frac{1}{-\frac{4}{3} } = \frac{3}{-4}[/tex]

[tex]y = -\frac{3}{4}x + c[/tex] ← is the partial equation

To find c substitute (4, -3) into the partial equation,

-3 = -3 + c

c = -3 + 3

c = 0,

[tex]y = -\frac{3}{4}x[/tex]

Hence, the equation of the line is [tex]y = -\frac{3}{4}x[/tex] .

To learn more about the equation of a line visit,

https://brainly.com/question/18831322

#SPJ4

Other Questions
negotiators are more likely to provide brutally frank negative feedback to foreign presenters. Are the statements true, false, or uncertain arguments? An export tax always reduces the exporter's net revenues. It is highly evident which industries will produce more technological spillovers and which less. The bulk of child employment is in the tradeable sector of poor countries. The real cause of child labor is low GDP per capita. Trade restrictions save jobs that are more visible, but result in job losses elsewhere. When trade is diverted away from countries that employ children, the children allocate more time to education. When subsidies are not an option, import tariffs are a second-best policy to promote key industries. The main, perhaps only, concern of U.S. labor unions regarding their fellow workers in developing countries are the working conditions of those foreign workers. Please select the word from the list that best fits the definition an objective and systematic way of collecting information and arriving at conclusions. question 4 of 20 a nurse is teaching a new mother about what to expect for bowel elimination in her newborn. because the mother is breastfeeding, what should the nurse tell her about the newborns stools? I need to show work#1. (-2/7) + (-4/7)#2. 5.4+ (-8.6) WILL GIVE BRAINLIEST Suppose that the functions q and r are defined as follows.q (x) = x^2 + 7r (x) = [tex]\sqrt{x+4}[/tex]Find the following:(r *q) (5) =(q *r) (5) = what is the maximum extent to which the parts of the temporomandibular joint can move when opening and closing as measured in degrees of a circle? the nurse is preparing to administer the first dose of intravenous cetuximab. to prevent a complication, the nurse would have which medication readily available? The approximate distance from Earth to the moon is 240 thousand miles. The approximate distance from Earth to the sun is 93 million miles. In standard notation, the approximate distance from the sun to Earth is miles greater than the approximate distance from Earth to the moon. In scientific notation, the distance is m 10n, where m is and n is In the design of a compensation plan, a factor over which a sales rep has some control, but which cannot be measured objectively isA. Number of product demonstrations made.B. Orders from new accounts.C. Gross margin by product line.D. Customer goodwill developed toward company.E. Number of shelf and window displays obtained. Select a newspaper or magazine article that involves a statistical study and write a paper answering these questions. 1.Is this study descriptive or inferential? Explain your answer. 2.What are the variables used in the study? In your opinion, what level of measurement was used to obtain the data from the variables? 3.Does this article define the population? If so, how is it defined? If not, how could it be defined? 4.Does the article state the sample size and how the sample was obtained? If so, determine the size of the sample and explain how it was selected. If not, suggest a way it could have been obtained. 5.Explain in your own words what procedure (survey, comparison of groups, etc.) might have been used to determine the studys conclusions. 6.Do you agree or disagree with the conclusions? State your reason. A survey of factories in five northeastern states found that 10% of the 300 workers surveyed were satisfied with the benefits offered by their employers. the margin of error for the population proportion, rounded to the nearest hundredth of a percent, is ___%. setting and set design: closely related to the choice of subject matter is the choice of setting and the degree to which it is emphasized. group of answer choices true false -2x + 3y + 4x - 5y-11=0x+3y-1=0 when taking the history of a child hospitalized with reye syndrome, the nurse should not be surprised if a week ago the child had recovered from what? What did the experimenter in the milgram obedience studies do to get the participants to continue shocking the learner?. the road not taken is literally about a traveler who comes to a fork in the road explain how the poem could be understood as a metaphor for choices in life how do you think the narrator feels about the choices he has made in life choose words from the poem that support your answer how do these words affect the feeling or tone what are the two types of value creation activities found within a company's operations? (check all that apply.) multiple select question. primary support legal foreign in katia's remedial mathematics study, she collected pretest data from a group of participants. she divided the participants into three groups. one group received no treatment, one group received instruction by a teacher-delivered intervention, one group received peer tutoring on the same problems. after the intervention she tested their math skills. with which validity threat should katia be most concerned? "your duty, maam, is to the graveyard," lectures one of the ghosts to mrs. owens just after she adopts the infant. in light of the graveyard discussion about whether to adopt the boy, what do you think is the right thing to do for young "nobody" owens? in a response of 300 words or more, take one side or the other and explain what you believe to be the best course of action. be sure to cite evidence from the text to support your argument.