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## He then asks the participants to verbally describe as many different pictures as possible. In this experiment, the independent variable is

The independent variable would be the parameter that is not being studied in the experiment. It is the variable that is being varied or changed. The counterpart of this is called the dependent variable which would be the factors that are being studied. This variable is not controlled. It only changes value because it is affected by the change brought to the independent variable.

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## Solve the following equation for the variable a. 2a+b=c-4d

Solve the following equation for the variable a. 2a+b=c-4d

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## Emily is making a punch that contains 75% apple juice and the rest ginger ale. The punch has 2 liters of ginger ale. Part A: Write an equation using one variable that can be used to find the total number of liters of apple juice and ginger ale in the punch. Define the variable used in the equation. (5 points) Part B: How many liters of apple juice are present in the punch? Show your work. (5 points)

Emily is making a punch that contains 75% apple juice and the rest ginger ale. The punch has 2 liters of ginger ale. Part A: Write an equation using one variable that can be used to find the total number of liters of apple juice and ginger ale in the punch. Define the variable used in the equation. (5 points) Part B: How many liters of apple juice are present in the punch? Show your work. (5 points)

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## How do I find the variable x?

How do I find the variable x?

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## Write an example of an algebraic expression that has a nonnegative value regardless of the variable

Write an example of an algebraic expression that has a nonnegative value regardless of the variable

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## A ___ is a rule that assigns each value of the independent variable to exactly one value of the dependent variable. Please give the right answer

A ___ is a rule that assigns each value of the independent variable to exactly one value of the dependent variable. Please give the right answer

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## The function y = 4x is an exponential growth function. The graph of the function increases as x increases. The variable x is a(n) coefficient term exponent factor

The function y = 4x is an exponential growth function. The graph of the function increases as x increases. The variable x is a(n) coefficient term exponent factor

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## Qs 14-2 fixed and variable costs lo c2 a cell phone company offers two different plans. plan a costs \$80 per month for unlimited talk and text. plan b costs \$0.20 per minute plus \$0.10 per text message sent. you need to purchase a plan for your 14-year-old sister. your sister currently uses 1,700 minutes and sends 1,600 texts each month. (1) what is your sisters total cost under each of the two plans

Plan A: Post paid plan

Total cost A = \$80 per month

Plan B: Pre paid plan

Total cost B = \$0.20 per
minute * 1,700 minutes + \$0.10 per text message * 1,600 texts

Total cost B = \$340 + \$160

Total cost B = \$500 per month

Therefore it is better to get
the post paid plan, plan A.

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## Solve for the variable in 6/18=x/36

Solve for the variable in 6/18=x/36

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## In a ____, the loop body executes at least one time because the loop control variable is not tested until after one iteration.

In a stub, the loop body executes at least one time because the loop control variable is not tested until after one iteration.
After one iteration, the loop will measure how much time it needed in order to complete that iteration. The faster the time indicate the faster the processing capability would be

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## Austin is comparing the prices of two truck rental companies. Company a charges \$4 per hour and an additional \$70 as service charges. Company b charges \$5 per hour and an additional \$60 as service charges. Part a: write and equation to represent each conpanys total charges for renting a truck for a certain number of hours. For both equations( one for company a and one for company b ), define the variable used. Part b: which company would charge less for renting a truck for 6 hours? Justify your answer. Part c: how much money is saved by using the services of company b instead of company a to rent a truck for 7 hours?

Company a: 70 plus 4 times (how many hours)
company b: 60\$ plus 5 times (how many hours)
PART A 70+four(x)  B 60+5x
THE VARIABLE REPRESENTS THE HOURS THE TRUCK WAS RENTED
PART B company a charges 9four dollars to rent the truck
company b charges 90 dollars to rent the truck
PART C: you would have to solve the equation like this to find PART C
A: 70+four(7)=98 B: 60+5(7)=95
so the answer for part c would be he saved 3 dollars

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## Montoya manufacturing has fixed costs of \$3,000,000 and variable costs are 40% of sales. what are the required sales if montoya desires net income of \$300,000?

Fixed costs = \$3,000,000
Variable costs = 40% of Sales
Sales – x
Net income = \$300,000
3,000,000 + 0.4 x + 300,000 = x
3,300,000 = x – 0.4 x
0.6 x = 3,300,000
x = 3,300,000 : 0.6
x = 5,500,000
We can prove it:
3,000,000 ( FC )+ 2,200,000 ( VC ) + 300,000 = 5,500,000
The required sales for Montoya manufacturing: \$ 5,500,000.

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## Given that the random variable x is normally distributed with a mean of 80 and a standard deviation of 10, p(85 < x < 90) is

Given that the random variable x is normally distributed with a mean of 80 and a standard deviation of 10, p(85 < x < 90) is

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## Jillian’s begins to solve a linear equation that results in a variable expression set equal to the same variable as expression. Which is the best interpretation of this solution

Ur points are set up like this (x,y)….so ur x axis number, then ur y axis number…so 2 of the points that are on ur line are (0,12000) and (120,0)
u do not subtract 2000 by 4000…if u wanted to use those points, they would be (80,4000) and (100,2000)

slope (rate of change) = (y2 – y1) / (x2 – x1)
(0,12000) …x1 = 0 and y1 = 12000
(120,0) ……x2 = 120 and y2 = 0
slope = (0 – 12,000) / (120 – 0) = -12,000/120 = -100 <== ur slope

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## Which describes the dependent variable in an experiment? A) the variable changed by the experimenter B) the quantity that must remain the same C) the variable that changes in response to the experiment D) the statement that is worded to test the experiment

There are two systems in the human body that are responsible for the coordination between the functions of different systems to achieve the unity of the living organism’s body. These two systems are the nervous system and the endocrine system. The action of the nervous system is fast and takes a short time, while the action of the endocrine system is slow and takes a long time.

The functional unit of the nervous system is the nerve cell or the neuron. The neuron consists of a cell body and the axon. The cell body starts with the dendrites that receive the messages or the impulses from other neurons or from different sense organs or receptors. These impulses are then transmitted through the cell body. The cell body contains a nucleus and different organelles which help the nerve cell to perform its functions. The nerve impulse is then transmitted to the axon.

The axon is an extension from the cell body. There are some cells called Schwan cells that secrete a myelin sheath to insulate the axon from the surrounding medium. The insulated axons have more ability to conduct the impulses than non-insulated axons. The axon ends with the terminal arborizations. The terminal arborizations of a nerve cell connect to the dendrites of the next cell or to the afferent organ. The gaps between the dendrites and the terminal arborizations are called the synapses.

The nerve impulse is an electrochemical phenomenon i.e. an electrical phenomenon with a chemical nature. The membrane of the axon acts as a barrier between an outside positively charged medium and an inside negatively charged medium. This makes a potential difference of  -70mV. This state is called the resting potential. When the membrane is subjected to a stimulus, the positive charges enter to inside and the negative charges exit to the outside. The potential difference now becomes +40mV. This state is called the depolarization state. The point of stimulation acts as a new stimulus for the next point and so on. The membrane sooner gains its permeability again and the positive charges return to the outside and the negative charges to inside. This state is called repolarization.

The nerve impulse reaches the synapse. There are some neurotransmitters that are excited by the nerve impulse coming and carry the message across the membrane. Some receptors receive theses neurotransmitters on the dendrites of the next neuron. These receptors act as a stimulus for the new cell.

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## Tell which equation you would use to isolate a variable in order to solve the system using substitution. Explain your reasoning. 2x + y=-10 3x-y=0

Ur points are set up like this (x,y)….so ur x axis number, then ur y axis number…so 2 of the points that are on ur line are (0,12000) and (120,0)
u do not subtract 2000 by 4000…if u wanted to use those points, they would be (80,4000) and (100,2000)

slope (rate of change) = (y2 – y1) / (x2 – x1)
(0,12000) …x1 = 0 and y1 = 12000
(120,0) ……x2 = 120 and y2 = 0
slope = (0 – 12,000) / (120 – 0) = -12,000/120 = -100 <== ur slope

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## Tell which equation you would use to isolate a variable in order to solve the system using substitution. Explain your reasoning. 2x + y=-10 3x-y=0

Ur points are set up like this (x,y)….so ur x axis number, then ur y axis number…so 2 of the points that are on ur line are (0,12000) and (120,0)
u do not subtract 2000 by 4000…if u wanted to use those points, they would be (80,4000) and (100,2000)

slope (rate of change) = (y2 – y1) / (x2 – x1)
(0,12000) …x1 = 0 and y1 = 12000
(120,0) ……x2 = 120 and y2 = 0
slope = (0 – 12,000) / (120 – 0) = -12,000/120 = -100 <== ur slope

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## If g is the variable, which mathematical sentence expresses the information below? “The number of gallons of gas in the tank plus 7 more adds up to 12 gallons.”

Number of copy machines must be made to minimize the unit cost=160.

Step-by-step explanation:

We are given that the unit cost function C ( the cost in dollars to make each copy machine)

Then the unit cost function is given by

We have to find the number of copy machines for  minimize the unit  cost

Differentiate with respect to x

Then we get

……(equation I)

To find the value of x then we susbtitute is equal to zero

By using division property of equality

Again differentiate the equation I with respect to x then we get

Hence, the unit cost is minimize for x=160

Therefore, the number of copy machines must be made to minimize the unit cost =160

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## Choose the best definition for the following term: variable (1 point)

Choose the best definition for the following term: variable (1 point)

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## Talcott parsons provided one bridge between psychology and sociology by introducing what concept as a variable in frustration-aggression theory?

I think there is still inequality in the United States, but not because the reasons that mainstream media often give.
For example, income equality between Caucasian people and minorities. The Democratic party often tell us that it’s because the Caucasian people actively opressed the minorities so they can’t be successful.
But the fact is, Minorities in United States are not only African American and the latino/as but also the asian.
The asian currently held the highest average income among all races in United States. If one minority can do it while the other can’t , the reason point to the tradition/way of living, not the race itself

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## In order to test a hypothesis, the variable that the scientist changes to a predetermined value is known as _________________. is. the controlled variable b. the dependent variable c. the independent variable d. all of the above

Keywords:

Polynomial, identify, ascending order

For this case, we must identify the polynomial that is written in ascending order. If we want to order a polynomial of ascending form, we must organize the polynomial from least to greatest exponent. By definition, a polynomial is of the form:

Where:

a, b, c, d, e, f: They are the coefficients of the polynomial

n, n-1,3,2,1,0: They are the exponents. This polynomial is of degree “n”, because “n” is the largest exponent.

x: It is the variable

Then, we must see among the options given a polynomial written from least to greatest exponent, that is, from the form:

So, among the options we have:

written ascending

Option C

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## A continuous random variable is a random variable that can: ?assume any value in one or more intervals ?assume no continuous random frequency ?have no random sample ?assume only a countable set of values

False

Step-by-step explanation:

Suposse that we are given a function f(x) and a constant value h.

1. Case:

If we take the function g(x)=f(x)+h, then the graph of the function g(x) will be the graph of the funcion f(x) moved up or down.

2.Case:

If we take the function g(x)=hf(x), then the graph of the function g(x) will be the graph of the function f(x) just taller or shorter.

3.Case:

If we take the function g(x)=f(x-h), then the graph of the function g(x) will be the graph of the fuction f(x) moved horizontally.

4. Case:

If we take the function g(x)=f(hx), then the graph of the function g(x) will be tha graph of the function f(x) wither or thiner.

For example:

If we take f(x)=sin(x) and h=2. Then, if we take g(x)=sin(2x) then f(0)=g(0)=0, which means that the graph of the functiction is not moved up or down. However, f(π/2)=sin(π/2)=1 and g(π/2)=sin(π)=0 which gives us a hint that the graph of the function became thiner.

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## PLEASE HELPMabel is comparing the prices of two car rental companies. Company A charges \$35 per day and an additional \$15 as service charges. Company B charges \$42 per day and an additional \$10 as service charges. Part A: Write an equation to represent each company’s total charges for renting a car for a certain number of days. For both equations (one for Company A and one for Company B), define the variable used. (4 points) Part B: Which company would charge less for renting a car for 6 days? Justify your answer. (3 points) Part C: How much money is saved by using the services of Company A instead of Company B to rent a car for 10 days? (3 points)

The polinomials only can have positive whole exponents, that is: 1, 2, 3, 4, 5, 6, … (you can include 0 also, because it iis the independent term).

So, if you are told that one term of the polynomial is 9 x ^ (negative something), it is necessary that the number after the negative sign be negative, given that negative times negative is positive.

Therefore, the only possible option from the answer choices is the option 3) -9.

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## Translate this sentence into an equation. 128 is the product of Donnie's age and 8 . Use the variable d to represent Donnie's age.

Translate this sentence into an equation. 128 is the product of Donnie’s age and 8 . Use the variable d to represent Donnie’s age.

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## Four more than the product of 18 and a number Use the variable n to represent the unknown number.

The basis to respond this question are:

1) Perpedicular lines form a 90° angle between them.

2) The product of the slopes of two any perpendicular lines is – 1.

So, from that basic knowledge you can analyze each option:

a.Lines s and t have slopes that are opposite reciprocals.

TRUE. Tha comes the number 2 basic condition for the perpendicular lines.

slope_1 * slope_2 = – 1 => slope_1 = – 1 / slope_2, which is what opposite reciprocals means.

b.Lines s and t have the same slope.

FALSE. We have already stated the the slopes are opposite reciprocals.

c.The product of the slopes of s and t is equal to -1

TRUE: that is one of the basic statements that you need to know and handle.

d.The lines have the same steepness.

FALSE: the slope is a measure of steepness, so they have different steepness.

e.The lines have different y intercepts.

FALSE: the y intercepts may be equal or different. For example y = x + 2 and y = -x + 2 are perpendicular and both have the same y intercept, 2.

f.The lines never intersect.

FALSE: perpendicular lines always intersept (in a 90° angle).

g.The intersection of s and t forms right angle.

TRUE: right angle = 90°.

h.If the slope of s is 6, the slope of t is -6

FALSE. – 6 is not the opposite reciprocal of 6. The opposite reciprocal of 6 is – 1/6.

So, the right choices are a, c and g.