Find the value of -7 + (-9) + 11 + 8

Answers

Answer 1
First we open the parentheses:
-7-9+11+8
Simplify:
-16 + 19 = 3
The value is 3

Answer 2
good day ^-^ ///////////////
Find The Value Of -7 + (-9) + 11 + 8

Related Questions

Hey can you please help me posted picture of question

Answers

Shifting 3 units to left means addition of 3 in x. And shifting 3 units up means addition of 3 to the function value.

So, the resulting function after these two translations will be:

[tex]G(x)= \frac{1}{x+3}+3 [/tex]

3 is added to x in denominator, and a 3 is added to the entire function value.

So, option D gives the correct answer
The correct answer is the las option (Option D), which is shown below:

 D. G(x)=(1/(x+3))+3

 The explanation is the following:

 1. You have the following function of the hyperbola given in the problem:

 G(x)=1/x 

 2. When you plot the function above you obtain the graph shown in the first figure attached.

 3. If you shifted the function of that hyperbola 3 units to the left and 3 units up, you obtain the graph shown in the second figure attached.

 4. Therefore, as you can see, the correct answer is the option mentioned before.

Find the x-intercepts of the parabola with vertex (1, -9) and y intercept at (0, -6).

Answers

A graph shows the 2nd choice is appropriate.
   (-0.73, 0, (2.73, 0)

*Please help, will thank and award brainliest*
Which costs are paid by the origination fee?
A. Title search
B. Attorney and notary fees
C. Credit check and administrative costs associated with loan processing
D. Property appraisal

Answers

b attorney and notary fees
for apex!!

Answer:

The answer "attorney and notary fees" made me get the question wrong on brainly. The correct answer it showed me after I got it wrong was C. Credit check and administrative costs associated with loan processing

Step-by-step explanation:

Professor smith conducted a class exercise in which students ran a computer program to generate random samples from a population that had a mean of 50 and a standard deviation of 9 mm. each of smith's students took a random sample of size n and calculated the sample mean. smith found that about 68% of the students had sample means between 48.5 and 51.5 mm. what was n? (assume that n is large enough that the central limit theorem is applicable.)

Answers

when xbar is 48.5

-1 is (48.5 - 50)/(9/sqrt n)
-9/sqrt n is -1.5
n is (9/1.5²) is 36

when xbar is 51.5
+1 is (51.5 - 50)/(9/sqrt n)
9/sqrt n is1.5
n is (9/1.5)² is 36

Using the Normal distribution, the Empirical rule and the Central limit theorem, it is found that n is 36.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. The empirical rule states that 68% of the measures are within 1 standard deviation of the mean.The central limit theorem states that for sampling distribution of sample means of size n, the standard deviation is [tex]s = \frac{\sigma}{\sqrt{n}}[/tex]

In this problem, since 68% of the students had sample means between 48.5 and 51.5 mm, we have that:

When X = 51.5, Z = 1.When X = 48.5, Z = -1.

Using one of them, we can find the standard error. So:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]1 = \frac{51.5 - 50}{s}[/tex]

[tex]s = 1.5[/tex]

Then, since [tex]\sigma = 9[/tex], the sample size is found solving the following equation:

[tex]s = \frac{\sigma}{\sqrt{n}}[/tex]

[tex]1.5 = \frac{9}{\sqrt{n}}[/tex]

[tex]1.5\sqrt{n} = 9[/tex]

[tex]\sqrt{n} = \frac{9}{1.5}[/tex]

[tex](\sqrt{n})^2 = (\frac{9}{1.5})^2[/tex]

[tex]n = 36[/tex]

n is 36.

A similar problem is given at https://brainly.com/question/13002303

What is the ratio of 5 gallons blue paint to 9 gallons of yellow paint?

Answers

Wouldn't you divide? If so, 5/9 = 0.6
The ratio would be 1:1.8 (1 to 1.8).

This can be found by dividing 5 by 5 ( making the ratio say 1 to...) and dividing 9 by 5 giving you 1.8. Thus makin* the ratio 1:1.8 or 1 to 1.8.

I hope this helps!


A teacher took a survey and found that 16 of 25 students liked a certain snack item best. Make a prediction of how many students liked the snack item best if there are 225 students.

Answers

For this case we first look for the percentage of students who liked the snack.
 We have then:
 (16/25) * (100) = 64%
 Then, for 225 students we have:
 (0.64) * (225) = 144
 Answer:
 
144 of 225 students liked a certain snack item best

Amber believes triangle ABC and triangle GFE are congruent. She has recorded the measures of some of the angles and the lengths of some of the sides in the triangles below.
What additional measurement would support Amber’s hypothesis?
a.The measure of c is 32
b.The measure of c is 40
c.The measure of c is 50
d.The measure of c is 90

Answers

If the triangles are congruent, the angle opposite the 32 cm side will have the same measure as angle E, 40°. An appropriate choice for this question is ...
  b. The measure of c is 40.


_____
In actual fact, the triangles not only are not congruent, they cannot exist. The total of sides FG and FE (82 cm) is less than the length of side GE (38 in). 82 cm is about 32.3 inches, about 5.7 inches too short.

Even if you overlook the units problem, the sum of squares of the sides of the triangle is 32² +38² = 2468, somewhat short of 50² = 2500. That is, the largest angle is slightly more than 90°. It is closer to 90.754° ≈ 91°.

You can label a diagram any way you want, but that doesn't mean the numbers are consistent or sensible.

Answer:

B

Step-by-step explanation:

Which of the following comparisons is False
A..... 5.c is Warner than 5.F
B......15.c is cooler than 60.F
C........30.c is Warner than 90.F
D.......35.c is cooler than 100.F

Answers

A graph shows the first comparison is true, and the C temperature is cooler than the F temperature for the remaining comparisons.

The comparison that is FALSE is ...
  C.....30 °C is warmer than 90 °F

_____
30 °C = 86 °F
32.2 °C ≈ 90 °F


If prices increase at a monthly rate of 0.5%, by what percentage do they increase in a year?

What is the formula to solve?

Answers

it will increase by 60% and multiply 0.5 by 12 = 60

We have been given that prices increase at a monthly rate of 0.5%.

Number of months in a year = 12

Let us suppose the item cost $1, then the percentage is given by

[tex]P=P_0(1+r)^n\\ \\ P=1(1+0.005)^{12}\\ \\ P=1.062[/tex]\\

Therefore, increase in a year is

[tex]1.062-1\\ =0.062[/tex]

Therefore, the required percentage in a year is 6.2%

Zachary used the calculations shown to find how much he would spend on 16 ounces of pistachios. 6 ounces of pistachios cost $7.50 mc022-1.jpg Unit price = $0.80 per ounce mc022-2.jpg What was his first error? The price per ounce should have been $45.00 per ounce. The price per ounce should have been $1.25 per ounce. The final cost should have been $20.00. The final cost should have been $16.80.

Answers

The price per ounce should have been 1.25 per ounce

10 POINTS
The graph below shows the price, y, in dollars, of different amounts of pounds of cheese, x: A graph titled Cheese Prices shows Number of Pounds on x axis and Price in dollars on y axis. The scale on the x axis shows numbers from 0 to 12 at increments of 2, and the scale on the y axis shows numbers from 0 to 72 at increments of 12. A straight line joins the ordered pairs 0, 0 and 12, 72 Which equation best represents the relationship between x and y? y = x + 6 y = 12x y = x + 12 y = 6x

Answers

Since the line goes through (0, 0), it can be described by 
   y = kx

You are given the point (12, 72), so you know
  72 = 12k
  6 = k . . . . . . . divide by 12

Then the equation of the line is ...
   y = 6x

The answer to the question is y=6x

Jenna bought n notebooks which cost 5 dollars each, and 3 pens which cost r dollars each. How much money did she spend?

Answers

You can represent the amount of money that Jenna spent by writing an expression based on the information given.

5n (this is the amount she spent on notebooks) + (and) 3r (this is the amount she spent on pens)

5n + 3r would show how much money she spent.  If you know how many notebooks she bought and how much each pen costs, you would multiply these numbers by the 5 and the 3 and add them.

please answer the question in the picture above

Answers

The difference between the masses is
  4.55·10¹³ kg -1.78·10¹² kg
  = 4.55·10¹³ kg - 0.178·10¹³ kg
  = (4.55 -0.178)·10¹³ kg
  = 4.372·10¹³ kg

Rounded to the appropriate precision, the mass of the Antarctic iceberg exceeds that of the Rock of Gibraltar by ...
  4.37·10¹³ kg

PLEASE PLEASE HELP ASAP

Answers

the answer is letter B
The distance of the loops form the following sequence:

2.40, 2.44, 2.48, 2.52, 2.56, ...

If we observe these terms, we'll see that the difference between two consecutive terms is the same i.e 0.04. Such a sequence is known as Arithmetic sequence.

We have to find the radius of 95th loop. This means we have to find the 95th term of the sequence.

Using the formula of Arithmetic Sequence, we can write:

[tex] a_{n} = a_{1}+(n-1)*d \\ \\ a_{95}=2.40+(95-1)*0.04 \\ \\ a_{95}=6.16 [/tex]

Thus, the radius of 95th loop of paper will be 6.16 centimeters.

So, the correct answer is option B

Assume we have a calendrical system in which leap years happen every four years, no matter what. In a 150-year period, what is the maximum possible number of leap years?

Answers

Final answer:

In a calendrical system where leap years occur every four years without any exceptions, there would be 37 leap years in a 150-year period.

Explanation:

In a calendrical system where leap years occur every four years without exception, the number of leap years in a 150-year period can be calculated with a simple division operation. This is because every 4 years there is a leap year consistent with the rules of this calendar system.

To calculate the maximum number of leap years in a 150-year period, you would divide 150 by 4 as this represents the frequency of leap years. This results in a total of 37.5. Given that a half year cannot be a leap year, we eliminate the fraction and we have 37 leap years.

While the Gregorian calendar also has a leap year every four years, there are exceptions for century years not divisible by 400. But since the question specified a system without such rule, there would be more leap years in this system compared to the Gregorian calendar for the same period of time.

Learn more about Leap Years here:

https://brainly.com/question/25143066

#SPJ12

A marble is drawn at random from the bag. The bag contains 3 green, 4 yellow, 5 blue, and 8 pink marbles. What is the probability that the marble drawn is a green or blue? Type a numerical answer in the space provided. Use the / key to represent the fraction bar. Do not type spaces in your answer.

Answers

Add them all together: 3 + 4 + 5 + 8 = 20

Add green and blue: 5 + 3 = 8 

8/20 

Simplify this, and you will have 2/5 


Hope I could help! Let me know if there is anything else you need! 

p.s. Brainliest? I am trying to get to higher ranks and it would really help :)

Hey can you please help me posted picture of question

Answers

The answer is theoretical
When the probability is calculated based on the results of an experiment it is termed as Empirical Probability.

While, in theoretical probability no experiment is performed, the results are drawn based on our knowledge of the event.

In the given case, we do not perform the experiment , rather we use our knowledge of alphabets to find the probability.

So, the correct answer is option A

Kim is a single woman in her mid-20s working while taking college credits to earn a bachelors degree. She is financing her education herself through both her income and taking out student loans. Her earnings in 2010 were $30,000 before taxes. She paid $5000 intuition and paid $350 interest on her student loan. In filing her state tax return form Kim takes a deduction for tuition paid and the interest paid on the loan. In taking these two deductions by how much did she lower taxable income? What is her taxable income now? What is her marginal tax rate? What will she owe in taxes for 2010?

Answers

Previous taxable income - 30,000
Less: Deductions - 5,000 + 350 = 5,350
New taxable income - 24,650
Multiply: Marginal tax rate - 15%
Tax - 3,697.50

1.) She lowered her taxable income by 5,350.
2.) Her taxable income now is 24,650.
3.) Her taxable income falls under the income range of 8,375 - 34,000, so her marginal tax rate is 15%.
4.) She will have to pay 3,697.50 for her tax.

Given z, find |z| -4+5i

Answers

|-4 +5i| = √((-4)² +5²) = √(16+25) = √41

|z| = √41

Which algebraic expression represents “the bagels were divided equally into fifteen bags”?
15 + b
157b
Which algebraic expression represents “the bagels were divided equally into fifteen bags”?
a. 15 + b
b. 157b
c. 15/b
d. b/15

Answers

d.b/15 because a means addition b means multiply and c means 15÷bagels

Answer:

Option D [tex]\frac{b}{15}[/tex]

Step-by-step explanation:

Let

b-----> the number of bagels

we know that

To find the algebraic expression of "the bagels were divided equally into fifteen bags" , divided the number of bagels by fifteen

so

[tex]\frac{b}{15}[/tex]

Tom shoveled 12.5 yards of sand in 2.5 hours. At that rate how many yards did he shovel in one hour?

Answers

[tex]\bf \begin{array}{ccll} yards&hours\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 12.5&2.5\\ y&1 \end{array}\implies \cfrac{12.5}{y}=\cfrac{2.5}{1}\implies \cfrac{12.5\cdot 1}{2.5}=y[/tex]

Which solution to the equation (1/x-1)=(x-2/2x^2 -2) is extraneous?
a. x=1 and x=-4
b. nether x=1 or x=-4
c. x=1
d. x=-4

Answers

Any "solution" that makes a denominator zero will be extraneous.

The appropriate choice is ...
  c. x=1

_____
This can be solved without extraneous solutions by subtracting the right side.
  (2(x +1) -(x -2))/(2(x -1)(x +1)) = 0
  (x +4) = 0 . . . . . . . . . . . . . . . . . . . . . multiply by the denominator
  x = -4 . . . . . . . . . . . . . . . . . . . . . . . . subtract 4

Find a cartesian equation for the curve. r = 9 sin(θ)

Answers

For this case we have the following equation:
 r = 9 sin (θ)
 In addition, we have the following change of variables:
 y = r * sine (θ)
 Rewriting the equation we have:
 r = 9 sin (θ)
 r = 9 (y / r)
 r ^ 2 = 9y
 On the other hand:
 r ^ 2 = x ^ 2 + y ^ 2
 Substituting values:
 x ^ 2 + y ^ 2 = 9y
 Rewriting:
 x ^ 2 + y ^ 2 - 9y = 0
 Completing squares:
 x ^ 2 + y ^ 2 - 9y + (-9/2) ^ 2 = (-9/2) ^ 2
 Rewriting:
 x ^ 2 + 1/4 (2y-9) ^ 2 = 81/4
 4x ^ 2 + (2y-9) ^ 2 = 81
 Answer:
 
The Cartesian equation is:
 
4x ^ 2 + (2y-9) ^ 2 = 81

A factory's worker productivity is normally distributed. one worker produces an average of 77 units per day with a standard deviation of 22. another worker produces at an average rate of 66 units per day with a standard deviation of 19.

a. what is the probability that in a single day worker 1 will outproduce worker 2?

Answers

The probability that worker 1 will outproduce worker 2 in a single day is approximately 0.352 or 35.2%.

To find the probability that worker 1 will outproduce worker 2 in a single day, we need to compare their production rates using their respective means and standard deviations.

Let X be the production of worker 1 and Y be the production of worker 2. We are interested in finding P(X > Y).

Given:

Worker 1: X ~ N(77, 22^2)

Worker 2: Y ~ N(66, 19^2)

First, we standardize the variables:

Z1 = (X - 77) / 22

Z2 = (Y - 66) / 19

Now, we find P(X > Y) = P(X - Y > 0):

= P((X - 77) - (Y - 66) > 0)

= P((X - Y) > (77 - 66))

Now, we find the mean and standard deviation of the difference:

Mean of (X - Y) = 77 - 66 = 11

Standard deviation of (X - Y) = sqrt(22^2 + 19^2) = sqrt(484 + 361) = sqrt(845) ≈ 29.07

Now we standardize the difference:

Z = (11 - 0) / 29.07 ≈ 0.378

Finally, we find the probability using the standardized normal distribution table:

P(Z > 0.378) ≈ 0.352

So, the probability that worker 1 will outproduce worker 2 in a single day is approximately 0.352 or 35.2%.

the probability that Worker 1 will outproduce Worker 2 in a single day is approximately 0.7202 or 72.02%.

To find the probability that Worker 1 will outproduce Worker 2 in a single day, we can use the z-score formula for normal distributions.

The z-score formula is given by:

[tex]\[ z = \frac{{X - \mu}}{{\sigma}} \][/tex]

Where:

- ( X ) is the value we want to find the z-score for (in this case, Worker 1's productivity).

- [tex]\( \mu \)[/tex]is the mean (average) productivity.

- [tex]\( \sigma \)[/tex] is the standard deviation.

For Worker 1:

- [tex]\( X_1 = 77 \)[/tex] units per day (average productivity)

- [tex]\( \mu_1 = 77 \)[/tex]units per day (average productivity)

- [tex]\( \sigma_1 = 22 \)[/tex] units per day (standard deviation)

For Worker 2:

-[tex]\( X_2 = 66 \)[/tex]units per day (average productivity)

- [tex]\( \mu_2 = 66 \)[/tex]units per day (average productivity)

- [tex]\( \sigma_2 = 19 \)[/tex] units per day (standard deviation)

First, we find the z-score for Worker 1's productivity relative to Worker 2's productivity:

[tex]\[ z = \frac{{X_1 - \mu_2}}{{\sigma_2}} = \frac{{77 - 66}}{{19}} = \frac{{11}}{{19}} \approx 0.579 \][/tex]

Next, we look up the z-score in the standard normal distribution table or use a calculator/tool that can calculate probabilities from the standard normal distribution. The z-score of 0.579 corresponds to a probability of approximately 0.7202.

Therefore, the probability that Worker 1 will outproduce Worker 2 in a single day is approximately 0.7202 or 72.02%.

Find the amount of annuity.
Amount of each deposit: $295
deposited: quarterly
Rate per year: 10%
Number of years: 6
Type of annuity: due

Answers

295×((((1+0.1÷4)^(4×6)−1)
÷(0.1÷4))×(1+0.1÷4))
=9,781.54

We need to find the future value of annuity due with the following given values :-

Payment, Pm = 295 dollars.

N=4 (for quarterly)

Rate at 10%, r = 0.10/4 = .025

Time for 6 years, T = 6x4 = 24.

Future Value formula is :-

[tex]FV_{ad}=P_m*(1+r)*[\frac{(1+r)^T-1}{r} ] \\\\ FV_{ad}=295*(1+0.025)*[\frac{(1+0.025)^{24}-1}{0.025} ] \\\\ FV_{ad}=295*(1.025)*[\frac{(1.025)^{24}-1}{0.025} ] \\\\ FV_{ad}=295*(1.025)*[\frac{(1.80872595)-1}{0.025} ] \\\\ FV_{ad}=295*(1.025)*[\frac{0.80872595}{0.025} ] \\\\ FV_{ad}=295*(1.025)*(32.34903798) \\\\ FV_{ad}=9,781.54 \;dollars[/tex]

Hence, the final answer is 9,781.54 dollars.

When flying at an altitude of 5 miles, the lines of sight to the horizon looking north and south make about a 173.7 degree angle. how much of the longitude line directly under the plane is visible from 5 miles high?

Answers

Final answer:

The visible portion of the longitude line under the plane from an altitude of 5 miles is approximately 320.38 kilometers, using the formula D = 112.88 km √h where h is the altitude in kilometers.

Explanation:

The question asks how much of the longitude line directly under the plane is visible from an altitude of 5 miles high. To find this distance, we can use the formula given for horizon distance: D = 112.88 km √h, where h is the altitude in kilometers. Since 5 miles is approximately 8.05 kilometers, we can calculate the distance to the horizon by taking the square root of the altitude and multiplying by 112.88 kilometers.

First, calculate the square root of the altitude:
√8.05 ≈ 2.838.

Then, we multiply by the constant:
D ≈ 112.88 km × 2.838 ≈ 320.38 km.

Therefore, from an altitude of 5 miles, the visible portion of the longitude line directly under the plane is approximately 320.38 kilometers long.

how do you know if two lines are parallel?

Answers

The lines never intersect or touch should be the answer.

Hope this helps/works.
To know if two lines are parallel they have to have the same slope

Solve the equation by completing the square x^2-18x+58=0. is it
A. x= -9+-√23
B. x= -9+-√139
C. x= 9+-√139
D. x= 9+-√23

Answers

To complete the square we add a constant (23) so that the constant on the left is (18/2)² = 81.
   x² -18x +58 +23 = 23
   (x -9)² = 23 . . . . . . . . . . . rewrite the left side as a square
   x -9 = ±√23 . . . . . . . . . . . take the square root
   x = 9 ±√23 . . . . . . . . . . . .add 9

The answer corresponds to selection ...
   D. x = 9 ±√23

Answer:

x = 9 ±√23

Step-by-step explanation:

What is 40,630 written in scientific notation?

Answers

4.063 x 10*4

Always remember if the decimal is being moved to the left, the exponent will be positive.

Answer:

4.063 x 10*4

Step-by-step explanation:

take the big number and move it from the exponent then bwa

You have been asked to calculate the break-even point for a new line of souvenir t-shirts. the selling price will be $25 per shirt. the labor costs will be $5 per shirt. the administrative costs of operating the company are estimated to be $60,000 annually and the sales and marketing expenses are $20,000 a year. additionally, the cost of materials will be $10 per shirt. what is the break-even quantity?

Answers

200000000000000000000000000000000000000000000000000000000

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A pair of fair dice is rolled once. suppose that you lose $ 8 if the dice sum to 3 and win $ 13 if the dice sum to 10 or 12. how much should you win or lose if any other number turns up in order for the game to be fair? name a pair of fractions that use the least common denominator and are equivalent to 9/10 and 5/6 Which of the following is most likely to increase the rate of a reaction?a. reducing the activation energyb. decreasing the temperaturec. decreasing the concentration of the reactant in the reaction vesseld. increasing the volume of the reaction vessel A college basketball player makes 5/6 of his free throws. Assuming free throws are independent, the probability that he makes it exactly three of his next four free throws is What is the spanish song form that is a style of poetry and contains ten lines and has been used in song writing though out latin america for years? Match each phrase from Column A with the correct definition from Column B. Column A Column B 1. music to my ears 2. knuckle under 3. sail through 4. worm out 5. clear skies 6. a breeze A. to get out of someone or something B. to do with ease; to have no difficulty C. easy D. something that is positive E. no problems ahead F. to give in; submit It had a brief existence of only sixteen months and was supplanted by the transcontinental telegraph. Yet it was of the greatest importance in binding the East and West together at a time when overland travel was slow and cumbersome, and when a great national crisis made the rapid communication of news between these sections an imperative necessity.Which of the following BEST summarizes the main message of these lines?The Pony Express was invaluable during the national crisisThe Pony Express was all that was available during the national crisisThe transcontinental telegraph replaced the Pony Express (i think this is right)The transcontinental telegraph would have been more effective (doubt this is right) How did the Bolsheviks gain power and momentum? An investment banker is responsible for investing a customers money into the greatest interest earning account. The banker has the following options for his customers investment: Account A: interest rate = 4.8% term of investment = 10 years interest compounded monthlyAccount B: interest rate = 4.9% term of investment = 10 years interest compounding continuously Which account, A or B, will earn the customer the greatest amount of interest on his $150,000 investment? In your final answer, include all of your calculations. Her pulse is 118 and thready, blood pressure is 88/72, respiratory rate is 28, and pulse oxymetry is 88%. when you call her name, she opens her eyes but does not answer any questions. The association of three or more states created for mutual benefit and the achievement of shared objectives is ____. A)environmentalism B)nationalism C)regionalism D)supranationalism Did gilman think it was natural for women to be economically dependent on men? why or why not 24 3/8 inches - 12 3/4 inches= ?Correct gets brainliest With cross site scripting, attackers can inject malicious ____. (choose all that apply) Indicate whether the sentence or statement is true or false. The dependent variable is plotted on the y-axis. An artist was able to draw one seventh of a picture every hour. If he needed to paint 8 pictures for an art show, how many hours would it take him Kelly estimates it will take her 35 minutes to make the punch and 45 minutes to set up. Will Kelly finish before the guests arrive if she starts at 11:45 a.m? Explain your answer. (Kelly's guests will arrive at 1:30) The area of the circle shown below is 100. What is the diameter (D) of the circle? The absorption of glucose involves _____ across the apical membrane and ____ across the basolateral membrane. You just made a rational decision about how to spend your paycheck. What part of the brain was primarily used for this?