Aisha bought 15 apples and oranges for $9. 0. Each orange costs $0. 50, and each apple costs $0. 65. Let x represent the number of oranges and y represent the number of apples. Which system can be used to find the number of apples and oranges aisha bought? x + y = 15. 0. 5 x + 0. 65 y = 9. 00 x = y. 0. 5 x + 0. 65 y = 9. 00 x + y = 9. 0. 5 x + 0. 65 y = 15. 00 x = y. 0. 5 x + 0. 65 y = 15. 0.

Answers

Answer 1

The system of equation to calculate the number of apples and oranges is given by x + y = 15 and 0.5x + 0.65y = 9 .

The number of apples is x and the number of oranges is y .

Total number of fruits bought is 15.

Hence we can write the equation for the number of fruits as:

x + y = 15

This is our first equation of the system.

Now each apple costs $ 0.5 , cost of x apples = 0.5x

Now each orange costs $0.65 , cost of y apples = 0.65y

Total cost is 9 apples.

Hence total cost can be represented by 0.5x + 0.65y = 9

Therefore the system of equations to represent the above situation is given by:

x + y = 15

0.5x + 0.65y = 9 .

A system of equations, often known as a set of simultaneous equations or an equation system, is a finite type of linear problem for which common solutions have been identified.

A system of equations can be classified similarly to a single equation. In everyday life, equation systems are utilised to model problems when the unknown values can be represented as variables.

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Related Questions

6x squared - 2x + 1 =0

Answers

Answer:

Step-by-step explanation:

6x^2-2x+1=0

6*6=36

36x-2x+1=0

34x+1=0

subtract 1 on both sides

34x=-1

divide both sides by 34

x=-0.0294117647059

The histogram summarizes the percentage of people in each state and the District of Columbia who identify as Hispanic or Latino. Use the drop-down menus to describe the distribution of percentages shown in the histogram.
Can I know if the answers that I choosed are correct?

Answers

The smallest and largest possible range in the histogram summarizes the percentage of people in each state and the District of Columbia who identify as Hispanic or Latino is 0 - 4.9 and 45 - 49.9 respectively.

What is percentage?

As it is clear from the term, percent means measuring anything per hundred. For example, you get marks per 100 marks, so you get the percentage.

Given:

The histogram summarizes the percentage of people in each state and the District of Columbia who identify as Hispanic or Latino,

The Hispanic or Latino percentage of the population is shown in the x-axis, whereas the frequency of the population is shown in the y-axis.

Calculate the smallest possible range by considering the graph,

The smallest possible range = 0 - 4.9

Calculate the largest possible range by considering the graph,

The largest possible range = 45 - 49.9

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Answer:

skewed right

Step-by-step explanation:

I am not sure about the numbers, but it's skewed right i had the same question

Determine the range of the following graph

Answers

The range of the graph is [-4, 11).

What is graph?

A graph is a diagram that depicts the relationship between two variables, usually measured along opposite axes in a pair, is used.

In the given graph,

The value of the x coordinate varies from -8 to 11.

And the values of x shows the domain,

Therefore, domain is (-8, 11).

The y coordinate varies from -4 to 11.

And the values of y coordinate shows the range.

The value of y at 11 is open circle, So it shows open interval.

And at -4 it shows close interval.

So the range of the graph will be [-4, 11)

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which of the following is the most appropriate interpretation of the y-intercept? group of answer choices for a car weighing 68.17 pounds we would expect a fuel efficiency rating of 0 mpg. for a car weighing 6,817 pounds we would expect a fuel efficiency rating of 0 mpg. for a car weighing 0 lbs we would expect a fuel efficiency rating of 6,817 mpg. for a car weighing 0 lbs we would expect a fuel efficiency rating of 68.17 mpg.

Answers

The correct interpretation regarding the y-intercept of the least squares regression line is given as follows:

For a car weighing 0 lbs we would expect a fuel efficiency rating of 68.17 mpg.

What is the y-intercept?

For a function, the y-intercept represents the value assumed by the output of the function when the input of the function assumes a value of zero.

For the least squares regression line in this problem, the input variable and the output variable are defined as follows:

Input variable: weight of each car.Output variable: fuel efficiency of the car.

The y-intercept in this problem has a value of:

68.17.

Meaning that when the weight is of 0 pounds, the fuel efficiency is of 68.17 mpg.

Missing Information

The missing part of the problem is of:

"For this data set, X represents the weight of each car in hundreds of pounds, and Y represents the predicted fuel efficiency of each car in miles per gallon (mpg). Note that 68.17 is reasonable value for the y-intercept of the least squares regression line. Which of the following is the most appropriate interpretation of the y-intercept?"

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Lily likes to collect records. Last year she had 12 records in her collection. Now she has 15 records. What is the percent increase of her ​collection?

Answers

Answer: 15 is a 25% increase of 12.

Step-by-step explanation: Difference of 12 and 15 = |12 - 15|/((12 + 15)/2) = 3/13.5 = 0.22222222222222 = 22.222222222222%

what is the roots to, x^4-x^2-20=0

Answers

The roots of the given equation are √5, - √5, 2i, and - 2i      

Roots of a polynomial:

The values of a variable for which the provided polynomial equals zero are referred to as a polynomial's roots. If n is the root of a polynomial p(x), then p(n) will be equal to zero.

Here we have

x⁴- x²- 20 = 0  

To find the roots of the Equation factorize the given equation

=>  x⁴- x²- 20 = 0    

Let t = x²

=>  t²- t - 20 = 0  

Split the middle term

=> t²- 5t + 4t - 20 = 0  

=> t(t - 5) + 4(t - 5) = 0

=> (t - 5) (t + 4) = 0

=> (t - 5) = 0   and  (t + 4) = 0

Take t - 5 = 0

=>  t = 5  =>  x² = 5

=> x = ±√5          

Take (t + 4) = 0

=> t = - 4 => x² = -4

=> x = ± √- 4                  

=> x = ± 2i         [ ∵ - 1 = i² ]

Therefore,

The roots of the given equation are √5, - √5, 2i, and - 2i                    

       

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How do you find the actual size of an item from a scale drawing?

Answers

To find the actual size of an item, multiply the scale factor by the size of the item in the drawing

The scale factor is the ratio of the measurement of the new figure to the measurement of the original figure

Here, we are drawing an item on the paper, the size of the object on the paper maybe less than or greater than of original item

The dimensions of the actual item will be equal to the product of scale factor and the dimensions of the item on drawing.

If the scale factor is greater than 1, then the actual size will be greater than drawing, if the scale factor is between 0 to 1, then actual size will be less than drawing

Therefore, to find the actual size multiply the scale factor and size of drawing

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What is the slope of AB?
m=
A (-6, -4)
B(-3,4)

Answers

y2-y1/x2-x1= -4-4/3-6= -8/-3= 8/3. m=8/3

Leveled Practice What conclusion can you make about the system of equations? 6y=12x+36 15y = 45x + 60 The slope of the first equation is second equation. The y-intercept of the first equation is y-intercept of the second equation. The system of equations has the slope of the the solution(s)​

Answers

Answer:

Both lines intersect at the point (2, 10)

See the attached image

what is x^(1.5-x)=3/2

Answers

There is no solution

X-y=-6
6x-3y=-9
Can you show the steps please

Answers

Answer:

Step-by-step explanation:

x-y=-6          (1)..

6x-3y=9       (2)...

First, multiply (1) by 6:

6x-6y=-36

Now subtract the whole eqaution:

 6x-6y=-36

- 6x-3y=9

----------------------

-3y = -45

y=15

Now substitute y into one of the equations:

x-15=-6

x=9

So the answer is x=9, and y=15.

A five-card hand is dealt at random from a standard deck. What is the probability that the hand contains exactly two face cards?

Answers

By using the concept of probability, it can be calculated that

Probability that the hand contains exactly two face cards = [tex]\frac{209}{833}[/tex]

What is probability?

Probability gives us the information about how likely an event is going to occur

Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.

Probability of any event is greater than or equal to zero and less than or equal to 1.

Probability of sure event is 1 and probability of unsure event is 0.

From the set of five cards, two cards can be chosen in [tex]{5 \choose 2}[/tex] ways = 10 ways

Number of face cards = 12

Number of non face cards = 52 - 12 = 40

Probability that the hand contains exactly two face cards = [tex]{5 \choose 2}\times \frac{12}{52} \times \frac {11}{51} \times \frac{40}{50} \times\frac{39}{49}\times \frac{38}{48}\\[/tex]

[tex]\frac{209}{833}[/tex]

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h(x)=(32)x−1 the outputs

Answers

The possible outputs of the function for different values of [x] are given below.

What is a expression? What is a mathematical equation? What do you mean by domain and range of a function?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.

Given is the following function -

h(x) = 32x - 1

We can write the output for the given function as -

[x]            h(x) = 32x - 1                   h(x)                             

1               {32 x 1 - 1 = 31}                   31

2              {32 x 2 - 1 = 63}                 63  

3              {32 x 3 - 1 = 95}                 95

4              {32 x 4 - 1 = 127}                127

Therefore, the possible outputs of the function for different values of [x] are given above.

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answered
Nakeisha's family took a road trip to Mount Rushmore. Nakeisha fell asleep 18% of the way through the trip. If the total length of the trip was 400 miles, how many miles had they travelled when Nakeisha fell asleep?

Answers

The family traveled 72 miles when Nakeisha fell asleep.

What is the slope of a line perpendicular to the line whose equation is 15x-18y=-486.

Answers

The slope of the line which is perpendicular to the given line is (-6/5).

Describe the negative reciprocal.

The negative reciprocal of a number, let's say "n," is "- (1/n).

We are aware of a line's equation in slope intercept form, y = mx + b, as well as the fact that perpendicular lines have slopes that are reciprocal to each other's negative values.

The slope intercept form of the line 15x - 18y = -486 can be expressed as,

-18y = -15x - 486.

- y = (-15/18)x - (486/18).

- y = (-5/6)x - 27.

y = (5/6)x + 27.

The slope of the supplied line is (5/6), making the perpendicular line's slope (-6/5).

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brawdy plastics, inc., produces plastic seat belt retainers for general motors at their plant in buffalo, new york. after final assembly and painting, the parts are placed on a conveyor belt that moves the parts past a final inspection station. how fast the parts move past the final inspection station depends upon the line speed of the conveyor belt (feet per minute). although faster line speeds are desirable, management is concerned that increasing the line speed too much may not provide enough time for inspectors to identify which parts are actually defective. to test this theory, brawdy plastics conducted an experiment in which the same batch of parts, with a known number of defective parts, was inspected using a variety of line speeds. the following data were collected. excel file: data14-05.xlsx line speed number of defective parts found 20 23 20 21 30 19 30 16 40 15 40 17 50 14 50 11 if required, enter negative values as negative numbers. a. select a scatter diagram with the line speed as the independent variable. a. b. c. d. a b. what does the scatter diagram developed in part (a) indicate about the relationship between the two variables? negative relationship c. use the least squares method to develop the estimated regression equation (to 1 decimal). d. predict the number of defective parts found for a line speed of feet per minute.

Answers

a. The scatter diagram indicates that the Number of Defective Parts found increases with Line Speed

b. The regression model is Y = 27.5 - 0.3·X

c. When the line speed is 25 feet per minute, the number of expected defective parts is 20 defective parts.

According to the Question:

The give data is presented as follows'

Line Speed;                   20,   20,    30,    30,    40,    40,    50,     50

Number of Defective;   23,    21,     19,     16,     15,     17,     14,       11  

Now,

1. From the scatter diagram there is an apparent correlation between increase line speed and the number of defective parts found.

2. The equation for linear regression by the least squares method is presented as follows;

   Y = a + b·X

Where;

b = N ∑XY - (∑X) (∑Y) / N ∑X² - (∑X)²     -------------------- (1)

and

a = ∑Y - b ∑X / N                          ---------------------------- (2)

Now, after calculation, we have;

∑X = 280, ∑Y = 136, ∑X² = 10,800, ∑XY = 4,460, (∑X)² = 78,400, N = 8

Putting in equation (1) and (2), we get;

b = (8×4460 - 280×136) / (8×10,800 - 78,400) = -0.3

and,

a = (136 - (-0.3)×280)/8 = 27.5

Therefore, we have the linear regression as follows;

                 Y = 27.5 - 0.3·X

Therefore, when the line speed is 25 feet per minute, we have;

Y = 27.5 - 0.3 × 25 = 20

The number of defective parts expected to be found when the line speed is 25 feet per minute, Y = 20 defective parts.

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How long does it take to travel 200 km at 40 km per hour?

Answers

Answer:

5 hours

Step-by-step explanation:

Time = 200÷40 = 5 hours.

A lap around the track is 1/4 of a mile. Josie completes a lap in 1.3 minutes. If she continues at the same pace, how long will it take her to complete
a mile? Express your answer as a decimal in simplified form..
minutes

Answers

Answer:

5.2 or 5:12

Step-by-step explanation:

1.3*4 = 5.2 or 5:12. That's a pretty fast mile.

Henry has a length of ribbon that is 6 1/4 feet long He needs 1 1/12 feet of ribbon to make a bow.

Answers

The answer to this Question based on Length is Yes he can easily make a bow with that

What is Length?

Length is a measurement of distance or size. It is the greatest of the three linear dimensions and is often denoted by the letter “L”. Length is commonly used to measure the size of objects, the distance between two points, or the magnitude of a displacement. Length can be measured in a variety of units such as inches, feet, meters, kilometers, or miles. Length is also used to determine the area of a two-dimensional shape, the volume of a three-dimensional shape, and the circumference of a circle. Length is an important concept in mathematics, physics, engineering, and other scientific disciplines. Length can also be used to describe how long something lasts, such as the length of a movie or a song.

we can see that length of henry ribbon that is available is 6 1/4 feet long ribbon which means 25/4 feet ribbon
= 6.25 feet of ribbon
whereas length of ribbon he needs is 1 1/12 feet ribbon to make a bow which is equal to

13/12 = 1.08 feet ribbon and he has 6.25 feet available hence he can easily make a bow with that

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PLEASE HELP WITH MY MATH HOMEWORK
ill give brainliest


3.) The height of the baseball can be modeled by the function Hs= -16s2+96s where s represents the time in seconds the ball is in the air after it is hit.

a) Write the function in factored form. _____________________

b) The factors from your answer in question 3a reveal something important about the situation. Describe what each of the factors means in terms of the height of the baseball and the time in seconds.

Answers

Answer:

a) The factored form of the function Hs= -16s2+96s is Hs = -16(s-3)(s-2).

b) The two factors in the factored form of the function, -16(s-3)(s-2), represent the maximum height of the baseball and the time at which the baseball reaches its maximum height. The first factor, -16, represents the maximum height of the baseball, since a negative value multiplied by the product of two positive values will always be negative. The second factor, (s-3)(s-2), represents the time at which the baseball reaches

or

a) Hs = (-16s + 48)(s - 2)

b) The factor (-16s + 48) represents the initial height of the baseball when it is hit, and the factor (s - 2) represents the time it takes for the baseball to reach its maximum height.

2.Select the number below that is irrational.

Answers

Answer:

Step-by-step explanation:

the second one

a group of nine people are attending the movies together. (a) two of the nine insist on sitting side-by-side. in how many ways can the nine be seated together in a row? 40320 (b) two of the people do not like each other and do not want to sit side-by-side. now how many ways can the nine be seated together in a row?

Answers

a group of nine people are attending the movies together . now 40320 ways can the nine be seated together in a row by combination.

(a) The two people who insist on sitting side-by-side can be seated in 1 way. The remaining 7 people can be seated in 7! ways. Therefore, the total number of ways in which the 9 people can be seated together in a row is 1 x 7! = 40320.

(b) In this case, the two people who do not like each other can be seated in (7-1)! ways. The remaining 7 people can be seated in 7! ways. Therefore, the total number of ways in which the 9 people can be seated together in a row by combination is (7-1)! x 7! = 40320.

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-5x+8=y
I don’t know the answer to this

Answers

Answer:

Let x=1

-5*x+8=y

-5*1+8=y

-5+8=y

3=y
Another

Let x=-1

-5*(-1)+8=y

5+8=y

13=y

There are multiple endings I suppose this is a point of intersection question that needs to be done on graph

Find the equation of the line with Slope = 2 and passing through (2,11). Write your equation in the form
y=mx+b

Answers

Answer:

y = 2x + 7

Step-by-step explanation:

Use the formula y - y1 = m(x - x1)

Step-by-step explanation:

formula =y-y1=m(x-x1)

Question 7 (Essay Worth 6 points)
(04.03 MC)
On a recent survey, students were asked if they like to fly and if they can drive. The partial results are given in the relative frequency table.
Can drive Cannot drive Row Totals
0.60
Likes to fly
Do not like to fly
Column totals 0.55
0.18
0.45
1.00
Complete the relative frequency table, showing all necessary calculations.
×84 DID
Source C
BIUS x, x Tx
I
E E 99
=
Styles

Format

Font
(
Size
A- A

Answers

The completed relative frequency table is given by the image shown at the end of the answer.

How to complete the relative frequency table?

First we look at the row total of people who like to fly, which is of 70%, hence:

It is stated in the table that the proportion of those who like to fly and can drive is of 0.32.Hence the relative frequency of those who like to fly and cannot drive is of: 0.7 - 0.32 = 0.38.

Amount those who can drive, we have that:

The total is of 0.45.0.32 like to fly.Hence the relative frequency of those who do not like to fly is of: 0.45 - 0.32 = 0.13.

Amount those who cannot drive, we have that:

The total is of 0.55.0.38 like to fly.Hence the relative frequency of those who do not like to fly is of: 0.55 - 0.38 = 0.17.

Thus the total frequency of the second row is given as follows:

0.17 + 0.13 = 0.30.

Missing Information

The table is given by the image shown at the end of the answer. I don't know if the values are the same but you will have to follow the same procedure to obtain the missing values.

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Answer:

I took the test

the answer is in the image below

Step-by-step explanation:

 

Which trigonometric ratio should be used to find height (h) of the escalator? (MGSE9-12.G.SRT.7, MGSE9-12.G.SRT.8)

Answers

The trigonometric ratio is sin 10° = h/109

Which ratios in trigonometry are there?

Sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant are the six trigonometric ratios (sec). The branch of geometry known as trigonometry examines the sides and angles of a right-angled triangle.

What three types of trigonometry are there?

Three crucial trigonometric functions—sine, cosine, and tangent—are represented by the abbreviations sin, cos, and tan. tan

Given that :

Hypotenuse = 109 ft

Height = h

Hence sin = height / Hypotenuse

sin 10° = h/109

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Write a compound inequality for the graph shown below. Use x for your variable.

Answers

The interval is [4, 6], and the compound inequality is 2 ≤ x < 5 as indicated on the number line.

What is inequality?

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to one another.

The equation-like form of the formula 5x 4 > 2x + 3 has an arrowhead in place of the equals sign.

It is an illustration of inequity.

This shows that the left half, 5x 4, is bigger than the right part, 2x + 3.

So, the blue line runs from 12 and then to 5.

The solid dot at position 2 denotes inclusion, whereas the hollow dot at position 5 denotes exclusion.

Now,

x  ≥ 2 and x < 5

Combine:
2 ≤ x < 5

Therefore, the interval is [4, 6], and the compound inequality is 2 ≤ x < 5 as indicated on the number line.

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Problem
The sum of 3 consecutive even numbers is 132.
What is the third number in this sequence?

Answers

Answer:

46

Step-by-step explanation:

because it is ...... maybe

Please help this for algebra! :)

Answers

Answer: y= -8x + 9.5

Step-by-step explanation:

The equation for slope intercept form is y=mx+b

b is the y-intercept; we see that it is located at (0, 9.5), so b is 9.5

The slope is rise/run

We see that the y decrease by 8 and x increases by 1, so the slope is -8/1

So the answer is y= -8x + 9.5

If 4x - 16 = 32, what is 4x?

Answers

Answer: X = -12

Step-by-step explanation:

-4x-16=32

We move all terms to the left:

-4x-16-(32)=0

We add all the numbers together, and all the variables

-4x-48=0

We move all terms containing x to the left, all other terms to the right

-4x=48

x=48/-4

x=-12

Answer:

x=12

Step-by-step explanation:

Given,

4x-16=32

4x=32+16(We transpose LHS to RHS)

4x=48

x=48/4

x=12

Hence, the answer is 12

Other Questions
how are unusual gains reported in a third-quarter interim financial report? recognized at year-end only. recognized in the first quarter. recognized ratably over the first three quarters. recognized in the third quarter. ignored. c(1) = -20c(n) = c(n 1) + 10Find the 2nd term in the sequence. 22 divided by (7.8-|-3 2/5|)x(-3) to the power of 2 - 9 1/5 Which type of visual cortex cell responds equally to stimuli throughout a large receptive field? Assume that the length of wheat leaves is controlled by three loci, each with two alleles: L and I, Wand w, Hand h. Determine the differences in leaf length between two homozygous strains of wheat. Assume each allele contributes equally to the length of the plant leaves. One homozygous strain, Il ww hh, has leaves that are 100 mm in length, and the other strain, LL WW HH, has 220 mm leaves. The two homozygous strains are crossed, and the resulting F1 are selfed to produce F2 progeny. What length will the leaves of the ll WW HH genotype plant be? Number 180 What proportion of the F2 progeny will have the same phenotype as the II WW HH genotype? Incorrect The proportion of F2 progeny that have the same phenotype as the II WW HH genotype will have the same number of dominant alleles. Draw a Punnett square to determine the total number of genotypes that share the same number of dominant alleles as II WW HH Number Dna fragments can be separated out by size using gel electrophoesis. what property of dna allows this process to occur? how does waverly find her own unique identity that embraces her heritage as well as the opportunities life in america allows her? Which of the following describes the difference between a clause and a phrase? (1 point) Responses A clause modifies another word in the sentence, but a phrase does not. A clause modifies another word in the sentence, but a phrase does not. A clause has commas around it or after it, but a phrase does not. A clause has commas around it or after it, but a phrase does not. A clause has a subject and a verb, but a phrase does not. A clause has a subject and a verb, but a phrase does not. A clause occurs at the beginning of a sentence, but a phrase does not. A clause occurs at the beginning of a sentence, but a phrase does not. What are 3 examples of more developed countries? Solve for ttt:-18 = -3t18=3t what factor played a significant role in the increase in sharecropping and tenant farming in georgia during reconstruction? which of the following is an example of frame-of-reference training? denzel makes managers aware of how errors influence ratings. kalena focuses on eliminating politics through discussion among managers. hassan stresses having consistent standards of evaluation. consuela focuses primarily on making managers aware of rating errors and how to reduce them effectively. francois emphasizes using the same idea of high, medium, and low performances when making evaluations. Jesse launched a cheaper variant of her high-performing dishwashing liquid, anticipating similar success. Which strategy has jesse made use of?. Ascending pathways conduct sensory information upward toward the brain, typically through a relay chain of 3 successive neurons. The neurons in these sensory pathways are called the first-order, second-order and third-order neurons, respectively. A. First-order neurons usually ascend directly to the thalamus.B. First-order neurons originate in the CNS.C. First-order neurons descend with motor commands.D. First-order neuron cell bodies reside in a ganglion. how does the author establish the connection between free-thought and ralph waldo emerson? The ducts that deliver bile and pancreatic juice from the liver and pancreas, respectively, unite to form the ________. What was happening in Cuba in the 1890s? what is a major determinant of the resting membrane potential necessary for transmission of nerve impulses? select one: a. the ratio between intracellular na and extracellular k b. the ratio between intracellular k and extracellular potassium c. the ratio between intracellular k and extracellular na d. the ratio between intracellular na and extracellular sodium why does the united states only have two major parties when most modern democratic states have three or more the humanistic perspective on psychological disorders emphasizes the group of answer choices influence of the society that is capable of causing behavioral abnormalities. influence of genetic abnormalities that are responsible for anomalies in human behavior. responsibility people have for anomalies in their own behavior. impact of hormonal imbalances that bring about changes in human behavior.