A group of mountain climbers begin an expedition with 250 pounds of food. They plan to eat a total of 12 pounds of food per day right and solve a linear equation to find the number of days the food will last.

Answers

Answer 1

Answer:

20

Step-by-step explanation:

Let the number of days be [tex]d[/tex].

[tex]250=12d \\ \\ d=\frac{250}{12}=\frac{125}{6} \implies \lfloor d \rfloor=20[/tex]


Related Questions

Janet wants to solve the equation y + StartFraction y squared minus 5 Over y squared minus 1 EndFraction = StartFraction y squared + y + 2 Over y + 1 EndFraction. What should she multiply both sides of the equation by?

Answers

Answer:

Step-by-step explanation:

The message is very cryptic like. The thing did not change like you wanted it to. Also, sorry for wasting ur points.

Explain why, when you roll a normal dice, the probability of getting a 2 1/6?
.

Answers

Explanation/Answer:
You have a 1/6 chance of rolling a 2 because there are 6 sides on the dice.

Sonya measured the cover of the library book she was reading a length was 10 inches and the width was 5 inches

Answers

Answer: 15

Step-by-step explanation: add 10 to 5 and you get 15

45>32m–19 what is m on a number line

Answers

m<2 is on the number line of the inequality 45>32m–19

What is Inequality?

a relationship between two expressions or values that are not equal to each other is called 'inequality.

The given inequality is 45>32m–19

Forty five greater than thirty two times of m minus nineteen

m is the variable in the inequality

45>32m–19

Add 19 on both sides

64>32m

Divide both sides by 32

2>m

m<2

Hence, m<2 on the number line of the inequality 45>32m–19

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Find the missing angle measures.

Answers

Answer: P= 30° & R= 60°

Step-by-step explanation:

First, you should find angle "R" as it helps find angle "P"

therefore:

R= 180°- 120°(angles on a straight line add up to 180°)

 = 60°

P= 180°- ( 90°+ 60°) (Angles of a triangle add up to 180°)

 = 180°- 150°

 = 30°

Multiply 5•1/3•1•5/6 simplify the answer and write as a mixed number

Answers

Answer:

1 7/18

Step-by-step explanation:

This is the actual problem that is posted:

5 • 1/3 • 1 • 5/6 =

= 5/1 • 1/3 • 1/1 • 5/6

= 25/18

= 18/18 + 7/18

= 1 7/18

How many 18-pound servings are in a two-pound bag of shredded cheese?

Answers

Answer:

i think it is 9

Step-by-step explanation:

What is the area of the shaded portion in the given figures?

Answers

Answer:

a) 40cm²

b) 150cm²

Step-by-step explanation:

a)

The area of the shaded region is equal to the area of the larger rectangle, minus the area of the smaller rectangle.

Knowing the formula for the area of a rectangle is bh (where b is base and h is height), we can find

Large rectangle area: bh = (20)(10) = 200cm²

Smaller rectangle area: bh = (12)(10) = 120cm²

The area of the shaded region is therefore 200-120cm²=80cm²

b)

The area of the shaded region is equal to the area of the larger triangle, minus the area of the smaller triangle.

Knowing the formula for the area of a triangle is 0.5bh (where b is base and h is perpendicular height), we can find

Large triangle area: 0.5bh = 0.5(20)(20) = 10(20) = 200cm²

Smaller triangle area: 0.5bh = 0.5(20)(5) = 10(5) = 50cm²

The area of the shaded region is therefore 200-50cm²=150cm²

Answer:a) 140 cm^

b)150m^2

Step-by-step explanation:

a)first find the area of big rectangle i.e rectangle

area of rectangle 1 = length ×breadth

area of rectangle = 10×20=200cm^2

now find area of small rectangle i e rectangle

area of rectangle 2 = 12×5=60cm^2

now subtract area of rectangle 2 from area of rectangle

area of shaded portion =200-60= 140cm^2

b)find area of big triangle i.e triangle 1....

area of triangle 1 = 1/2 × base × height...

area of triangle 1 =1/2×20×20 = 200m^2

area of triangle 2 =1/2×10×5 =25m^2

area of triangle 3=1/2×10×5= 25m^2

area of shaded portion = area of triangle 1 - area of triangle 2 - area of triangle

area of shaded portion =200-25-25 =150m^2

A pan of brownies was left

Answers

Is there more information?

Answer:

i don't know i am ayush

kal

ajakka

kakka

Write and solve an equation to answer the question.
9 is what percent of 20?

=p⋅

Answers

Answer: 45%

Step-by-step explanation: Do 9 over 20. 9/20. Then compare to 100. (100 is on the bottom.) 20 x 5 = 100.    Do the same for the top.   9 x 5 = 45%

Joe is creating a rectangular garden. The length is 2 feet more than its width. The area is 120 square feet. Find the original dimensions of the garden.

Show work.

Answers

The original dimensions of the garden are width of 10 feet and a length of 12 feet.

How to find the original dimensions of the garden?

A word problem is a mathematical exercise where significant background information on the problem is presented in ordinary language rather than in mathematical notation.

Let's call the width of the garden w.

According to the problem, the length of the garden is 2 feet more than its width:

Length = w + 2

And the area of the garden is 120 square feet:

Area = Length * Width

Substituting the expression for Length from the first equation into the second equation:

Area = (w + 2) * w

Expanding the expression:

Area = w² + 2w

Setting the expression for the area equal to 120:

w² + 2w = 120

Expanding the expression to a quadratic equation:

w² + 2w - 120 = 0

Solving for w using the quadratic formula:

Factor the left side of the equation.

(w − 10)(w + 12) = 0

w − 10 = 0 or w + 12 = 0

w = 10 or w = − 12

Since width cannot be negative, the width is 10 feet.

Length = w + 2 = 10 + 2 = 12 feet.

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Customer comes in and buys $10 worth of gas and $15.48 in merchandise they pay with a $50 bill

Answers

They get 24.52$ back
Hope this helps

Here is an input-output rule write 1 if the input is odd write 0 if the input is even
-3
-2
-1
0
1
2

Answers

The output of the given values that is  -3,-2,-1,0,1,2,3  are 1,0,1,0,1,0,1 respectively.

What is Even and Odd numbers ?

Even numbers are if the numbers divisible by 2 and if it is not divisible by 2 than it is odd number.

Given ,

Here is an input-output rule write 1 if the input is odd write 0 if the input is even .

So, here we have to write outputs according to the given inputs.

And here inputs are -3,-2,-1,0,1,2,3

As -3 is odd, so the output could be 1

As -2 is odd, so the output could be 0

As -1 is odd, so the output could be 1

As 0 is odd, so the output could be 0

As 1 is odd, so the output could be 1

As 2 is odd, so the output could be 0

As 3 is odd, so the output could be 1

Hence, The output of the given values that is  -3,-2,-1,0,1,2,3  are 1,0,1,0,1,0,1 respectively.

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The Problem
The population of a small mining town is given in the table below:
Year
1990 1993 1996 2000 2004 2008 2012
Population 4000 3010 2400 1950 1625 1400 1220
The decline in population is said to follow a logarithmic model where x = 1
represents the year 1990, x= 2 represents 1991, and so on.
U
Si l
M
wwwww
1. Using a regression equation, estimate the population in 1995.
WAST
*****
2. An ore deposit is found near the town and experts forecast the
population will increase exponentially and reach 4000 again in 10 years.
a) Find an exponential equation that models this growth.
b) By what percent must the population increase each year for the
population to reach 4000 by 2022?
I

Answers

The resolution was found by the 13, or 13.3% over the ensuing ten years, and The example regression function is an equation that depicts how the variables Y and X are related (s)

How do you estimate the population regression model?

[tex]$\begin{aligned} & Y_i=f\left(X_i, \beta\right)+e_i \\ Y_i & =\text { dependent variable } \\ f & =\text { function } \\ X_i & =\text { independent variable } \\ \beta & =\text { unknown parameters } \\ e_i & =\text { error terms }\end{aligned}$[/tex]

Year : 1990 1993 1996 2000 2004 2008 2012

Population  : 4000 3010 2400 1950 1625 1400 1220

It is said that the population fall follows a logarithmic model, where x=1 corresponds to the year 1990, x=2 to the year 1991, and so on.

Along with the population, a table describing a tiny mining town's dwindling population is provided. The term "logarithmic model" refers to a model where x is 1 and symbolizes the year 99 on x is 1991. As we search for a solution, let's employ the regression equation.

The progression is used to project the population in 1995, and I'm going to use a calculator to do it. This wasn't a but a 1, and then this is 2, and then this is 3, and then this is 4, and then this is 5, and then this is 6, and then this is 7, and then this is 8, and then this is 9. By the.13, or 13.3% over the following ten years, the solution was found.

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I don’t know how to find angle q in this geometry question.

Answers

The required measure of m ∠Q is 46 degrees for the given figure.

What are the vertical angles?

When two lines intersect at a location, vertical angles are generated. They are always equal to each other.

As per the corresponding angles property, we can write the equation would be as:

17x = 56 + (8x-2)

17x - 8x = 56 - 2

9x = 54

x = 6

Since m ∠Q = 8x-2

So substitute the value of x = 6 in the above equation,

Then, we get m ∠Q = 8(6) - 2 = 46 degree

Thus, the required measure of m ∠Q is 46 degrees.

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at a bakery, one customer pays $5.67 for 3 bagels and 4 muffins. Another customer pays $6.70 for 5 bagels and 3 muffins. Let x be the cost (in dollars) of a bagel and let y be the cost (in dollars) of a muffin. Which system of equations represents the situation above?
A. x + y = 7
x + y = 8

B. y = 3x + 5.67
y = 5x + 6.7

C. 3x + 4y = 6.7
5x + 3y = 5.67

D. 3x + 4y = 5.67
5x + 3y = 6.7

Answers

Answer:

Choice D

Step-by-step explanation:

x = cost of 1 bagel

y = cost of 1 muffin

3x + 4y = $5.67

5x + 3y = $6.70

On a 28-question test, there are 2-point questions and 5-point questions. there are three times as many 2-point questions as 5-point questions on the test. how many 2-point questions are on the test?
Part A: Define the variables
Part B: Write a system of equations to represent the situation
Part C: Solve the system to find how many of each type of questions are on the test

Answers

a. The variables are 2-point questions for x and 5-point questions for y

b. The system of equations to represent the situation will be 4y = 28

c. The number of each type of questions that are on the test are 21 2-points questions and 7 5-points questions.

How to illustrate the variables?

From the information, on the 28-question test, there are 2-point questions and 5-point questions. there are three times as many 2-point questions as 5-point questions on the test.

Let 2-point questions = x

Let 5-point questions = y

From the information, x = 3y

Therefore, the equations to represent the situation will be:

3y + y = 28

4y = 28

Divide

y = 28 / 4

y = 7

Number of 2-point questions will be:

= 7 × 3

= 21

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2x-3y+4=0 Rewrite the equation in simplified slope-intercept form

Answers

The equation in simplified slope-intercept form is y = (2/3)x + 4/3.

What is the slope-intercept form of the line?

The slope-intercept form is a way of writing a linear equation in the form of y = mx + b, where m is the slope of the line and b is the y-intercept.

To rewrite the equation 2x-3y+4=0 in simplified slope-intercept form, we need to rearrange the equation to get y by itself on one side of the equation.

To do this, we can add 3y to both sides of the equation:

2x + 4 = 3y

Then we can divide both sides by 3:

(2/3)x + 4/3 = y

Now we have the equation in the form of y = mx + b, where m is the coefficient of x, which is (2/3) and b is the constant term on the right side, which is 4/3.

Hence, the equation in simplified slope-intercept form is y = (2/3)x + 4/3

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I need help with these problems

Answers

x is 3 seconds which means after 3 seconds the water in each balloon is equal.

What is an equation?A condition on a variable (or variables) that ensures that two expressions in the variable (or variables) have the same value is known as an equation. • The solution or root of the equation is the value of the variable for which the equation holds true. • If the LHS and RHS are switched, an equation doesn't change.An equation is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Given data :

a ) Jude = y = 5x  ( y is m∠s )

Ian = y = 45 - 10x

c ) y = 5x

   y = 45 - 10x

  5x = 45 - 10x

  15x = 45

   x = 3

x is 3 seconds which means after 3 seconds the water in each balloon is equal.

Here I attached the drawing of graph

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what is 8x +3 equal to

Answers

Answer:

8x+3 --> x = 8/3
8/3 is about 2.66

9. Ignacio can type 55 words per minute (wpm). In 5 minutes, she types 285 words. How many errors would you expect her to make?

10. If Alexis types 300 words in 5 minutes with 5 errors, what is his typing speed?

11. Johanna receives a report that says her typing speed is 65 words per minute. She knows that she made 4 errors in the 5-minute test. How many words did she type in 5 minutes?​

Answers

I'd anticipate her to make the following number of mistakes: 10 mistakes.

How to find the calculation?

Given that it is stated that the individual can write 285 words in five minutes, a division is carried out to determine the real word count per minute.

285 / 5 = 57 wpm

The amount of misspelled words per minute is calculated using a subtraction as it was previously stated that she wrote at a rate of 55 wpm:

57 - 55 = 2

Given that the individual misspells two words per minute, this figure is multiplied by the duration of the measurement (5 minutes) as follows:

2 X 5 = 10

10 misspelled words every five minutes, or two misspelled words each minute.

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You bought a STRIP at 96 dollars with maturity of 3 years. Calculate the yield to maturity of this STRIP

Answers

The yield to maturity of this STRIP is 1.36%

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Current price = $96

Par Value = $100

Time to Maturity = 3 years

Semiannual Period = 3 × 2 = 6

The yield to maturity of this STRIP will be calculated as:

Let the semiannually yield to maturity be represented by y.

96 = 100/(1 + y)⁶

Cross multiply

96(1+y)⁶= 100

Divide both side by 96

(1+y)⁶= 100/96

(1+y)⁶= 1.0417

1 + y⁶ = 1.0417

y⁶ = 1.0417 - 1

y⁶ = 0.0417

y = 0.0068

Therefore, the semiannual YTM = 0.0068

Annual YTM will now be:

= 2 × Semiannual YTM

= 2 × 0.068

Annual YTM = 0.0136

Hence, the yield to maturity of this STRIP is 1.36%

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25 POINTS PLSSSS DUEEE SOONN

Question One:
Ten years ago, Zahir bought a house valued at $324 900.00. Determine the curre
value of his house if it appreciated at an average rate of 6.1% per year. (2 marks)

Answers

Appreciation is an increase in the value of an asset over time. The term is widely used in several disciplines, including economics, finance, and accounting.

How do you determine a house’s appreciation rate?

The easiest technique to calculate home appreciation is to divide the increase in value by the starting cost and multiply by 100 to get the difference as a percentage.

Final value minus initial value equals monetary change.

(Value change / initial investment) 100 represents the appreciation %.

1.0  N rate of appreciation)

2.0 N years equals the appreciation factor.

Appreciation value after N years = (appreciation factor)(current value).

The appreciation rate is the rate at which the value of an asset rises. An increase in the value of financial assets such as stocks is referred to as capital appreciation.

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consider the equation 7x + 4 = ax + b.

for each pair of values for a and b, determine the number of solutions that the equation has.

select no solution, one solution, or infinitely many solutions for each pair of values.

1. a = 7, b = -4

2. a = 4, b = 7

3. a = 7, b = 4

4. a = -7, b = 4

Answers

Answer: a = 7, b = -4:

This equation can be rewritten as 7x = ax + b - 4.

Since the coefficients of x on both sides are equal, the equation becomes 7x = ax - 4, we can see that the equation has only one solution.

a = 4, b = 7:

This equation can be rewritten as 7x = ax + b - 7.

Since the coefficients of x on both sides are different, the equation becomes 7x = 4x + 7, we can see that the equation has no solution.

a = 7, b = 4:

This equation can be rewritten as 7x = ax + b - 4.

Since the coefficients of x on both sides are equal, the equation becomes 7x = 7x + 4, we can see that the equation has infinitely many solutions.

a = -7, b = 4:

This equation can be rewritten as 7x = ax + b - 4.

Since the coefficients of x on both sides are different, the equation becomes 7x = -7x + 4, we can see that the equation has no solution.

Step-by-step explanation:

how would I write an equation?
and what would my x and y represent?

Answers

The equation is  x + y=z. X represents the number of hours for tutoring, and Y represents the total cost for the tutoring session. The equation does not represent direct variation, as the hourly rate is a fixed rate, not a variable rate.

How to write an equation for any data? To write an equation for any given data, first identify the independent and dependent variables in the data set. The independent variable is the variable that is changed or manipulated, while the dependent variable is the variable that is observed or measured. Once the independent and dependent variables have been identified, the equation can be written using the dependent variable in terms of the independent variable. For example, if the data set contains a set of values for the independent variable x and the corresponding values for the dependent variable y, then the equation can be written as y = f(x). The function f(x) represents the relationship between the two variables and can be determined by plotting the data points and finding the best fit line or curve. This line or curve is the equation that describes the data set.

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Determine if events A and B are mutually exclusive.

P(A) = 3/10 P(B) = 9/20 P(A or B) = 3/4

a) mutually exclusive
b) not mutually exclusive

Answers

According to the given information in the question P(A) is mutually exclusive.

What are mutually exclusive events?

When two events are incompatible with one another, the specific addition rule is applicable in probability. It claims that the likelihood of either event happening is equal to the likelihood of each event happening individually. If two occurrences A and B are considered to be mutually exclusive, then P(A) + P(B) is the formula used to determine the likelihood that either event will occur (B).

Assuming that event A and event B are mutually exclusive event.

To prove: Aand B are mutually exclusive.

Condition:P(A or B)=P(A)+P(B)

P(A or B)=P(A)+P(B)

           = +

              =

              =

               =

               =

               =

P(A or B)=P(A)+P(B)

Therefore, the given equation satisfies the condition.

So, Event A and Event B are Mutually Exclusive events.

a)Mutually Exclusive.

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See attached image below:

Show all work

Answers

The maximum area is identified by deducting the side length from the perimeter twice, dividing the result by 2, and then multiplying the result by the side length.

What is a property that is rectangular?

Properties of Rectangles: The basic characteristics of rectangles are: A quadrilateral is a rectangle. The different sides are parallel and at the same level. Each interior has an angle of 90 degrees.360 degrees is the total of all interior angles.

Let x be the measurement of the side of the rectangle that is perpendicular to the walls. After that, the expense for the ends and partitions is...

10x +20x +20x +10x Equals 60x

The other two sides of the rectangle will be priced at (1560 -60x), thus they will be long.

(1/2)(1560 -60x)/10 = 78-3x

The rectangle's area equals the sum of its two dimensions, hence area = x. (78 -3x)

This parabola opens downward and bears zeros at x=0 and x=78/3. The vertex of the parabola will be at x = (0 + 78/3)/2 = 13 78 -3(13) = 39, which is in the midst of these values. . different side dimension

When the enclosure side parallel to the partitions is 13 meters and the other side is 39 meters, the area is maximized.

The maximal area is therefore x*y=13*39=507

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Two angles are supplementary. The larger angle is 72∘ more than the smaller angle. Find the measure of the larger angle.

Answers

126°.

Two supplementary angles equal to 180°. If the larger angle is 72° larger than the smaller angle, simply add the two numbers with a gap of 72° in them.

126° + 54° = 180°

Find the number of distinguishable permutations of the letters IOWA.

Answers

Therefore , the solution of the given problem of permutation comes out to be 24 ways to create distinguishable words.

Permutation :  What is it ?

Combinations are mathematical operations that count all potential arrangements from a collection of elements, where the direction of selection is irrelevant. You can choose any combination of the pieces in any order. It is possible to combine permutations and combinations.

Here,

Given :

The letters "l," "O," "W," and "A" all appear once in the word "IOWA,"

which is made up of 4 letters.

=> 4P4 = 4! = 4.3.2.1 = 24

gives the permutations if all four letters were different.

Therefore , the solution of the given problem of permutation comes out to be 24 ways to create distinguishable words.

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Use substitution to solve each system of equations.
y = 5x + 1
4x + y = 10 ​

Answers

solution of the equation is: (1, 6 ). This can be solved by substitution method.

What is an equation?

The meaning of such an equations in algebra is just a mathematical expression stating the equality between two mathematical terms. For instance, 6x + 5 = 11 is an equation where 6x + 5 and 11 are two expressions separated by the 'equal' sign.

Identity equations and conditional equations are the two types of equations. For just any value of both the variables, an equality remains true. Only such variables have values that make a condition expression true. Two expressions joined by an equals sign ("=") form an equation.

y = 5x + 1 .............(1)

4x + y = 10 ............ (2)

substitute y = 5x + 1 into (2)

4x + 5x + 1 = 10

or, 9x + 1 = 10 ( subtract 1 from both sides )

or, 9x = 9 ( divide both sides by 9 )

or, x = 1

substitute x = 1 into (1)

y = 5(1) + 1

or, y = 5 + 1

or, y = 6

Thus, solution of the equation is: (1, 6 )

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Which of the three economies (Command, mixed, market) would you most like to live in? Which would you least like to live in? Why is potential energy highest at the top? Read the excerpt from ''In Response to Executive Order ''. I gave her a packet of tomato seeds and asked her to plant them for me, told her when the first tomato ripened she'd miss me. The narrator gives the impression that:_____.a. she is an amateur gardener.b. she is, in fact, guilty of espionage.c. she is hoping the Americans win the war.d. she will be gone for a long time. Using what you have learned in the lesson and the experiment, answer the following questions in complete sentences. 1. Consider how lettuce or spinach placed in water becomes firm and crisp. Use what you have learned about cell membranes to explain this observation. Be sure to include homeostasis in your explanation. 2. If you were to continue this experiment by removing the egg from the water and covering it in corn syrup (a hypertonic solution), what do you think would happen? Explain your prediction. (If you choose to test your prediction, be sure to allow at least 24 hours before making your observations. And, of course, handle the egg very carefully!)3. Equilibrium is when the concentration is the same throughout and entire system. Explain how a cell reaches equilibrium in all three types of solutions (hypertonic, hypotonic and isotonic).can someone explain this , I'm so over it tomas wants to broaden his search to include all words that include all forms of a word. he should use a/n . Culinary/Cooking Class, True or False questions, please help reducing the ______ related to mental illness and addiction is essential to people seeking help and treatment. What signals that the poem is written in free verse? check all that apply. no clear rhyme scheme a clear pattern of rhyming words no pattern for stressing syllables a fixed number of syllables per line no set number of lines in each stanza Which is an accurate description of the Aztec center of Tenochtitlan? Tenochtitlan was built as a massive religious monument, mostly populated by priests and their families. For all it's technology, the city of Tenochtitlan was very small with a population under 10,000 people. A wealthy metropolis crisscrossed by canals, marketplaces, and temples.Tenochtitlan was given to the Spanish as a treaty city, in the hopes that trade could develop between the Aztecs and the Spanish. What are the major forces that drive movements in the atmosphere? How many moles of carbon are in 1 mole of ch4? need help with these questions 1. behaviorism is no longer the dominant paradigm in psychology, but what can we learn from it? are parts of behaviorist thinking correct? What is (-2x+6) - (x-3) subtracted? Karen adds up 4 consecutive odd integers find the sum if the smallest one is 2m-1 What is a possible value for c that would make this a triangle? IF YOU HAVE READ FUNNY IN FARSI PLEASE HELPWhen reading chapters 1-3 what parts or paragraphs in the text were interesting, intriguing, etc...(this is for a book club in my English class and I play the role of the Luminary) Explain: According to Rousseau, how does a man keep his freedom under a government created by the Social Contract? these members work for the many house and senate committees What is a inverse example?