y intercept of y−5=2/3(x+12)

Answers

Answer 1
13
y - 5 = 2/3(x + 12)
y - 5 = 2/3x + 8
y = 2/3x + 13
First, I did the distributive property by multiplying 2/3 with 12 to get 24/3. I simplified further by dividing it by 3 and got 8.
Next, I added 5 to both sides, and 8 + 5 is 12, so that’s the y intercept!

Related Questions

associative analyses cannot determine whether stable relationships exist between two variables. true false

Answers

Associative analyses cannot determine whether stable relationships exist between two variables.

The statement is False

Now, According to the question:

There are statistical analyses beyond simple descriptive measures, statistical inference, and differences tests including associative analyses which determine whether a stable relationship exists between two variables.

Associative analysis is an approach that is used to analyses the peoples mental representation , focusing on meaning and similarities and differences across the culture. It determined that relationship that is hidden in the large data set. It determine the relationship in between two variable as well.

Hence, Associative analyses cannot determine whether stable relationships exist between two variables.

The statement is False

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A bag contains 12 red marbles, 14 yellow marbles, and 3 green marbles.
If I marble is chosen at random, which is the probability that it will be a blue marble?

Answers

Yellow marbles because yellow marbles are the most likely to be picked cause they are more than any color in set

Answer:1/3

Step-by-step theexplanation:1/3 is the probablility of the marbles

What is the solution to the system of equations graphed below ?

Answers

Answer: (6, -1)

Step-by-step explanation:

<3

5. A student surveyed 100 adults who took either vitamin C, zinc, or echinacea
supplements to prevent getting a cold. The adults were asked if they had a cold or no
cold in the last 30 days. The results are shown in the table.
vitamin C
zinc
no cold cold
41
echinacea
total
12
21
74
15
5
6
total
26
56
17
27
100
a. What proportion of adults in the survey took echinacea?
b. What proportion of adults who took vitamin C reported having a cold in the last
30 days?
c. What proportion of adults who reported having a cold took zinc?

Answers

The proportions for this problem are given as follows:

a) Took echinacea: 0.27.

b) Having a cold in the last 30 days, of those who took Vitamin C: 0.2679.

c) Took zinc, of those having a cold: 0.1923.

How to calculate the proportions?

The proportions are calculated as the division of the number of desired outcomes by the number of total outcomes.

The survey is composed by 100 adults, and of those, 27 took echinacea, hence the proportion is of:

27/100 = 0.27.

56 adults took vitamin C, and of those, 15 reported a cold in the last 30 days, hence the proportion is of:

15/56 = 0.2679.

26 students had a cold in the last 30 days, and of those, 5 took zinc, hence the proportion is calculated as follows:

5/26 = 0.1923.

Missing Information

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

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Which of the following statement is false? a. all isosceles triangles are similar b. all quadrilateral triangle are similar c. all circle are similar
d. none of the above

Answers

The statement that is false is A.. all isosceles triangles are similar

What is an isosceles triangles?

An isosceles triangle in geometry is a triangle with two equal-length sides. It can be specified as having exactly two equal-length sides or at least two equal-length sides, with the latter definition including the equilateral triangle as an exception.

An isosceles triangle has two of its three sides with equal lengths, and its two base angles are also equal. Although two isosceles triangles can have two sides that are equal on their own, they may not be similar because their sides may be of a different measurement.

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The endpoints of AB are A(-8, 1) and B(4, -7).
What are the coordinates of point Con AB that is
34
the distance from point A to point B?

6
4

Answers

The Co-ordinates of the point C that divides the line in the ratio of 3:4 is (-20/7, -17/7)

What is Section Formula?

The Section formula is used in coordinate geometry to compute the ratio of a line segment split by a point, either internally or externally. It determines the centroid, incenter, and excenters of a triangle. It is used in physics to determine the centre of mass of systems, equilibrium locations, and so on.

Solution:

A(-8, 1) and B(4, -7)

Ratio is 3:4

Section Formula is (mx2 + nx1/ m + n), (my2 + ny1/ m + n)

m = 3 and n = 4

Co-ordinates of C are (3*4 + 4*(-8)/ 3+4), (3*(-7) + 4*1 / 3+4)

= (12 - 32 / 7), (-21 + 4 / 7)

= (-20/7, -17/7)

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In the figure below, m ABD=100, and m<1 is four times m<2. Find m<2.

Answers

The unknown angle in the intersecting lines is as follows:

m∠2 = 20 degrees

How to find the angles when line intersect?

In the figure m∠ABD is 100 degrees and m∠1 is four times m∠2. Therefore, let's find the angle m∠2.

From the diagram, the sum of angle ABC and angle CBD is equals to angle ABD.

Therefore,

m∠ABD = 100 degrees

m∠ABC = m∠2

m∠CBD = m∠1

Therefore,

let

x = m∠2

m∠1 = 4x

Hence,

100 = 4x + x

5x = 100

divide both sides by 5

x = 100 / 5

x = 20 degrees

Therefore,

m∠2 = 20 degrees

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At what y points on the curve xy = 25 is the tangent line parallel to 5x + y = 0?

Answers

The point at which  =the curve xy = 25 is the tangent line parallel to 5x + y = 0 is y = ± 5√5 so, option A is correct.

What is line?

A simple line in Euclidean geometry. A line, according to Euclid, is the distance between two points and can stretch forever in either direction. While Euclid's initial definition is now regarded as a line segment, such an extension in both directions is now thought of as a line.

Given:

the curve xy = 25 and the equation of the line is 5x + y = 0,

The equation of line  parallel to line 5x + y = 0 will be,

y = mx + c

y = -5x + c   (y = -5x)

The line will be in the curve as it is tangent, so,

xy = 25 and y = -5x + c line have a solution,

Solve the above equation as  shown below,

y = ± 5√5

Thus, the point y = ± 5√5 the line is tangent to the curve.

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A speed skater goes around a turn with a 25 m radius. The skater has a velocity of 15 m/s and experiences a centripetal force of 720 N. What is the mass of the skater?

Answers

Answer:

80 kg

Step-by-step explanation:

To find the mass of the skater, you can use the formula for centripetal force:

F_centripetal = m * v^2 / r

Where F is the centripetal force, m is the mass of the object, v is the velocity of the object, and r is the radius of the circular path.

Plugging in the values you know, you get:

720 N = m * (15 m/s)^2 / 25 m

Solving for m, you find that the mass of the skater is:

m = 720 N * 25 m / (15 m/s)^2

= 720 N * 25 m / 225 m^2/s^2

= 80 kg

So the mass of the skater is approximately 80 kilograms.

Calculator
For what value of x is line a parallel to line b?
Enter your answer in the box.
X =
a
b
(5x + 15)°
115°
65°

Answers

Answer:   20

Explanation:

If the corresponding angles 5x+15 and 115 are congruent, then line 'a' is parallel to line 'b'.

5x+15 = 115

5x = 115-15

5x = 100

x = 100/5

x = 20

based on this data, what is a reasonable estimate of the probability that todd runs more than 15\text{ km}15 km15, start text, space, k, m, end text tomorrow?

Answers

The reasonable estimate of the probability that Todd runs 5/13.

We know that,

Experimental probability = Number of favorable outcomes/total number  of outcomes.

Experimental probability, also called empirical probability, is based on real experiments and rational records of what happened. A series of real-world experiments are conducted to determine the occurrence of events. Experiments with undetermined results are called random experiments. The results of such experiments are uncertain. Repeat the random experiment several times to determine its probability. Experiments are repeated a specified number of times, and each repetition is called a trial. Mathematically, the formula for experimental probability is defined as:

Probability of event P(E) =

frequency of occurrence of event / total number of trials.

According to the question:

The number of favorable outcomes are 5.

The total number of outcomes are 2 + 3 + 3 + 5 = 13.

Therefore, the reasonable estimate of the probability that Todd runs is 5/13.

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what is the square root of 1476

Answers

What is the square root of 1476
Answer : 6√41

A triangle has angle measures of 45 degrees, 45 degrees, and 90 degrees. Which statement is true about the lengths of the sides? Each side has a different length. Two sides have the same length, which is less than the length of the third side. The three sides have the same length. The sum of the lengths of two sides is equal to the length of the third side.

Answers

The sum of the lengths of two sides is equal to the length of the third side is 45°.

What is Triangle?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.As we discussed in the introduction, a triangle is a type of polygon, which has three sides, and the two sides are joined end to end is called the vertex of the triangle. An angle is formed between two sides. This is one of the important parts of geometry. Some major concepts, such as Pythagoras theorem and trigonometry, are dependent on triangle properties. A triangle has different types based on its angles and sides.

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PLEASE PLEASE PLEASE help, I will mark brainliest, this is for my final. In the diagram, △FEL∼△JOS. Which ratios are equivalent to tanF? Select all that apply.
EF/EL
EL/EF
EL/FL
FL/EF
OJ/OS
OJ/JS
OS/OJ
OS/SJ

Answers

Answer:

EL/EF

OS/OJ

Step-by-step explanation:

Tangent is equal to opposite/adjacent

find the value of y² when y=-9

Answers

Answer:

81

Step-by-step explanation:

y = -9

y² = (-9)² = 81

Y=-9•9

Multiple

Solution

Y=-81

Mark Brainly pls

There is a line whose y-intercept is 10 and whose slope is 0. What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in
simplest form.

Answers

Answer:

Below

Step-by-step explanation:

A line with slope = 0 is a horizontal line

 for y = mx + b form this would be

   y = (0)* x  + 10

   y = 10

Division of Polynomials



1). 2x^3 - x^2 + 3x - 4 / x + 5

2). X^4 - 8x^2 + 2x + 7 / x+5

3). 2x^3 + x^2 - 8x + 15 / x^2 + 2x - 1

Answers

Division of Polynomials is [tex]$$2 x^2-11 x+58-\frac{294}{x+5}$$[/tex] , [tex]$$x^3-5 x^2+17 x-83+\frac{422}{x+5}$$[/tex], [tex]2 x-3+\frac{12}{x^2+2 x-1}[/tex].

What is Polynomials?

A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables. In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable. For instance, the polynomial 2x+5 has an exponent of 1.

1). [tex]\frac{2 x^3-x^2+3 x-4}{x+5}$$[/tex]

[tex]$$\begin{aligned}& \text { Divide } \frac{2 x^3-x^2+3 x-4}{x+5}: \quad \frac{2 x^3-x^2+3 x-4}{x+5}=2 x^2+\frac{-11 x^2+3 x-4}{x+5} \\& =2 x^2+\frac{-11 x^2+3 x-4}{x+5}\end{aligned}$$[/tex]

[tex]$$\begin{aligned}& \text { Divide } \frac{-11 x^2+3 x-4}{x+5}: \frac{-11 x^2+3 x-4}{x+5}=-11 x+\frac{58 x-4}{x+5} \\& =2 x^2-11 x+\frac{58 x-4}{x+5}\end{aligned}$$[/tex]

Divide [tex]$\frac{58 x-4}{x+5}: \quad \frac{58 x-4}{x+5}=58+\frac{-294}{x+5}$[/tex]

[tex]$$=2 x^2-11 x+58+\frac{-294}{x+5}$$[/tex]

Simplify

[tex]$$=2 x^2-11 x+58-\frac{294}{x+5}$$[/tex]

2.[tex]\frac{x^4-8 x^2+2 x+7}{x+5}$$[/tex]

Divide [tex]$\frac{x^4-8 x^2+2 x+7}{x+5}: \quad \frac{x^4-8 x^2+2 x+7}{x+5}=x^3+\frac{-5 x^3-8 x^2+2 x+7}{x+5}$[/tex]

[tex]=x^3+\frac{-5 x^3-8 x^2+2 x+7}{x+5}$$[/tex]

Divide [tex]$\frac{-5 x^3-8 x^2+2 x+7}{x+5}: \frac{-5 x^3-8 x^2+2 x+7}{x+5}=-5 x^2+\frac{17 x^2+2 x+7}{x+5}$[/tex]

[tex]=x^3-5 x^2+\frac{17 x^2+2 x+7}{x+5}$$[/tex]

Divide [tex]$\frac{17 x^2+2 x+7}{x+5}: \quad \frac{17 x^2+2 x+7}{x+5}=17 x+\frac{-83 x+7}{x+5}$[/tex]

[tex]$$=x^3-5 x^2+17 x+\frac{-83 x+7}{x+5}$$[/tex]

Divide [tex]$\frac{-83 x+7}{x+5}: \quad \frac{-83 x+7}{x+5}=-83+\frac{422}{x+5}$[/tex]

[tex]$$=x^3-5 x^2+17 x-83+\frac{422}{x+5}$$[/tex]

3.

[tex]\begin{aligned}& \frac{2 x^3+x^2-8 x+15}{x^2+2 x-1} \\& \text { Divide } \frac{2 x^3+x^2-8 x+15}{x^2+2 x-1}: \frac{2 x^3+x^2-8 x+15}{x^2+2 x-1}=2 x+\frac{-3 x^2-6 x+15}{x^2+2 x-1} \\& =2 x+\frac{-3 x^2-6 x+15}{x^2+2 x-1} \\& \text { Divide } \frac{-3 x^2-6 x+15}{x^2+2 x-1}: \frac{-3 x^2-6 x+15}{x^2+2 x-1}=-3+\frac{12}{x^2+2 x-1} \\& =2 x-3+\frac{12}{x^2+2 x-1}\end{aligned}[/tex]

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on his trip to work each day, brady pays the same toll, using either all quarters or all dimes. if the number of dimes needed for the toll is 3 more than the number of quarters, what is the toll?

Answers

Answer:

50 cents

Step-by-step explanation:

25x2=2 quarters

5x10=5 dimes

3 more dimes than quarters

?
What is an equation of the line that passes through the point (8, -7) and is parallel
to the line x + 2y = 18?
Parallel/Perpendicular Through Point

Answers

The equation of the line that passes through point (8, -7) and parallel to the line x + 2y = 18 is

y = -x/2 - 3

How to find the equation of the line

A linear function consists of functions where the variables has exponents of 1.

The graph of linear functions is a straight line graph and the relationship is expressed in the form.

y = mx + c

definition of variable

y = output variable

m = slope

x = input variable

c = y intercept

x + 2y = 18

rewriting gives : y = -x/2 + 9

when the line is parallel the slope is equal hence the slope of the line is -1/2.

using the point slope formula for point (8, -7) which is

(y - y') = m(x - x')

(y + 7) = -1/2(x - 8)

y + 7 = -x/2 + 4

y = -x/2 - 3

the equation of the line is y = -x/2 - 3

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Given f(x) = x² + 4x, find the average rate of change of f(x) on the interval [4, 4+h]. Your answer will
be an expression involving h.

Answers

Step-by-step explanation:

please refer to the attached sketch for the answer.

suppose you build a model of a concert hall using a scale factor of 18. how will the surface area of the actual concert hall compare to the surface area of the scale model? what about the volume?

Answers

The Surface area of the actual concert hall is 324  times as great as the surface area of scale model A

Given that,

Imagine creating a music hall model with a scale factor of 18.

To find : How will the scale model's surface area and the real music hall's surface area compare? Considering the volume

A new concert hall using a scale factor is 18.

then,

Scale = Dimension on module / Actual dimension

Area =k²

Where

K = Scale factor

Surface area of actual concert hall = (18)²

                                                          = 324

Thus, the Surface area of the actual concert hall is 324  times as great as the surface area of scale model A.

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what is equilvalent to the square root of -2.

Answers

Answer:

1.4142135623730951i

Step-by-step explanation:

Did it help pls make me the brainliest and you can round your answer to how you want it and if not that's you answer thank you.

which expression in the simplest form of

Answers

The simplest form of an expression is x³-13x². Therefore, option D is the correct answer.

What is simplest form?

Expressions are rewritten in a compact and unlike terms-free manner when they are simplified. Expressions are simplified by combining like phrases, resolving any provided brackets, and only leaving unlike terms that cannot be further reduced in the final simplified expression.

The given expression is -(2x³+x²)+3(x³-4x²)

Simplify the given expression as follows

-2x³-x²+3x³-12x²

= x³-13x²

The simplest form of an expression is x³-13x². Therefore, option D is the correct answer.

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Solve the Cryptarithm,

BIRD
FOOD
+GRID
which equals GRAIN.
Also note that food is a multiple of 1279 and that it is a prime number.

Answers

Using the rules of cryptarithmetics problems and with the provided words and condition for a word, The answer is 9738+2558+1378==13674.

What is a cryptarithmetic problem?

Mathematical puzzles known as cryptarithmetic problems use letters from the alphabet in place of the digits.

What is reverse cryptarithm?

A rare version in which a formula is written and the matching cryptarithm's solution is the supplied formula is used to find the solution.

since the digits used are 0 to 9.

first letter can't be zero.

and we can't repeat the same digit for same different alphabets.

Using these rules with the condition that food is multiple of 1279.

The answer is : 9738+2558+1378==13674

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Using the rules of cryptarithmetics problems and with the provided words and condition for a word, The answer is 9738+2558+1378 =13674.

What is a cryptarithmetic problem?

Mathematical puzzles known as cryptarithmetic problems use letters from the alphabet in place of the digits.

What is reverse cryptarithm?

A rare version in which a formula is written and the matching cryptarithm's solution is the supplied formula is used to find the solution.

since the digits used are 0 to 9.

first letter can't be zero.

and we can't repeat the same digit for same different alphabets.

Using these rules with the condition that food is multiple of 1279.

The answer is : 9738+2558+1378 = 13674

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Help meee !!??? Please

Answers

The value of  [tex]15\sqrt{1513}[/tex] = 585

According to the given information

What is Square Root ?

A number can be obtained by multiplying the square root of that integer by itself. The word "square root" is represented by the symbol [tex]\sqrt{}[/tex]square root of, end square root. The opposite of squaring an integer is finding its square root.

We need to find the value of [tex]15\sqrt{1513}[/tex]

Firstly

The value of square root of 1513

The amount that becomes 1513 when it is multiplied by itself twice is its square root. In other words, this number is equal to 1513 when multiplied by 2.

So

Value of square root of 1513 = 38.8973006776

Hence

Value of [tex]15\sqrt{1513}[/tex] = 15 × 38.8973006776

                             = 15 × 39

                             = 585

The value of  [tex]15\sqrt{1513}[/tex] = 585

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NEED HELP ASAP!!! please help!!!

Answers

Answer:

x=21

Step-by-step explanation:

rs= 6(x-9)

rt=2(2x-6)

rs=rt

6(x-9)=2(2x-6)

6x-54=4x-12

2x=42

x=21

Fabio and Carlos play on a basketball team together. In the last game, Fabio had 7 points less than 2 times as many points as Carlos. Fabio scored 31 points in the game.
How many points did Carlos score?

Answers

The number of points that Carlos score based on the information is 19 points.

How to illustrate the equation?

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions written on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation.

In this.case, Fabio and Carlos play on a basketball team together. In the last game, Fabio had 7 points less than 2 times as many points as Carlos.

Let Carlos point = x

Fabio point will be = 2x - 7

The equation will be:

2x - 7 = 31

2x = 31 + 7.

2x = 38

Divide

x = 19

Carlos had 19 points

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let g be a polynomial function of x where g(x) = 2x^3 + 5x^2 - 28x - 15 Given (x - 3) is a factor of g, what is the reminder of g(x) + (x - 3)?

Answers

The remainder of polynomial g(x) divides (x - 3) that is  g(x) / (x - 3) is 0.

What is polynomial?

A polynomial is a mathematical expression made up of variables, constants, and exponents that are combined using addition, subtraction, multiplication, and division operations.

Given: g(x) = 2x^3 + 5x^2 - 28x - 15

(x - 3) is a factor of g(x).

We have to find the remainder of g(x) / (x - 3).

Consider,

                 2x^2 + 11x + 5

         [tex]\sqrt[(x-3)]{2x^3+5x^2 -28x -15}[/tex]

          -    2x^3 -6x^2

____________________________

                      11x^2 - 28x

               -      11x^2 - 33x

____________________________

                               5x - 15

                          -    5x - 15

_______________________________

                                      0

Hence, the remainder of polynomial g(x) divides (x - 3) that is

g(x) / (x - 3) is 0.

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When Landon overdrafts from his checking account, his bank moves $50 from his savings account into his bank account and charges him $5 (from his checking account) as a penalty each time it happens. If Landon had $75.32 in his checking account and he wrote a check for $113.85, how much money would he have in his checking account after the check is cashed and the bank handles his overdraft?

Answers

Answer:

Landon would have -$43.53 in his checking account after the check is cashed and the bank handles his overdraft.

Step-by-step explanation:

please help meee!!!!

Answers

The value of x and z are x° = 6.71°, z° = 75.26° simulataneously,

What is the linear pair angles?

Linear pair of angles are formed when two lines intersect each other at a single point. The angles are said to be linear if they are adjacent to each other after the intersection of the two lines. The sum of angles of a linear pair is always equal to 180°.

We have,

Angles:

6x° + 35°

8x° + 51°

To find the values of x and z

from the given figure

Linear pair angles:

6x° + 35° + 8x° + 51° = 180

14x° + 86° = 180

14x° = 180° - 86°

14x° = 94°

x° = 94°/14°

x° = 6.71°

Vertically opposites angles are equal

6x° + 35° = z°

z° =  6( 6.71°)° + 35

z° = 40.26 + 35

z° = 75.26°

Hence, the value of x and z are x° = 6.71°, z° = 75.26° simulataneously.

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Other Questions
the firm will reject good low-risk projects the firm will accept poor high-risk projects the firm will correctly accept projects with average risk Which of the following would be classified as a situation where a third party benefits from a market transaction by others? O Increased levels of air pollution in neighborhoods near a football stadium Allowing a mining company to use a natural lake to discharge waste. City buying 10,000 trees for green-space renewal projects. Two firms trading pollution credits to avoid cutting their toxic emissions. Market failure describes a situation in which the market itself in a way that balances social costs and benefits. O remains outside the transaction fails to allocate resources efficiently O avoids externalities o incurs the costs outside the production process A public good is a good that is , and thus is difficult for market producers to sell to individual consumers. nonexcludable and nonrivalrous excludable or rivalrous O unexcludable or unrivaled O excludable and rivalrous In order for a good to be classified as when one person uses the good, others are also able to use it. O nonexcludable O unrivalrous nonrivalrous O unexcludable Many residents of a particular town enjoy taking their dogs with them when they go to their local park for recreation and picnics. Everybody enjoys the park more when each group cleans up after themselves and their pets, but nobody enjoys the act of cleaning up after themselves or their dogs. We can expect the park to be due to a o clean: prisoner's dilemma dirty : prisoner's dilemma O clean: positive externality O dirty : positive externality A food scientist studies the relationship between mass and calories in different types ofburritos. the scatter plot shows the data for 15 types of burritos. based on a line of best fitfor the data, Kendra and Horace have been dating about six months. They both agree that they do not want to rush into sex. Instead, they want to see how theirrelationship progresses. When they are both ready and have taken the proper precautions, they feel that they might be ready to have sex. WhatBEST describes their choices? Starting at the origin, a bug jumps randomly along a number line. Each second, it jumps one unit to theright or one unit to the left, either move being equally likely. Describe all the places that the bug couldbe after eight seconds and tell how likely each of them is.106. (Continuation) Describe all the places that the bug could be after nine seconds and tell how likely eachof them is. during the age of industrialization, some people were repelled by capitalism because of the emerging chasm between thetrue or false What is an anticlimax?a) a warning to the readerb) a reversal of the plot orderc) a statement by another author criticizing the noveld) shift from something important to something trivial If the forces exerted on a 2-kg object are 50 N east and 30 N west, what is the object's acceleration? True or false: When banks loan out some of their excess reserves, the monetary base increases by the amount of the loan. Explain your answer. 5 points. 2 How does the solubility of a gas in a solvent depend on pressure and temperature? Which of the following amino acids is more likely to be found on the exterior of a globular protein and which on the interior? Explain.(a) Valine(b) Aspartic acid(c) Phenylalanine(d) Lysine Which choice below explains what is happening in a liquid as it turns into a gas?a. The particles speed up and spread apartb. The particles speed up and come closer togetherc. The particles slow down and spread apartd. The particles slow down and come closer together g the government reduces the corporate profits tax. as a result, corporate profits increase. this will A 2-kg object is moving horizontally with a speed of 4 m/s. How much net force is required to keep the object moving bat this speed and in this direction? Explain. Fresco seccoDry fresco; painting executed on dry plaster. Contrast with buon fresco. the fresco secco technique works perfectly and preserves artwork for centuries, sometimes even thousands of years. the short-run aggregate supply curve group of answer choices slopes upward, and the long-run aggregate supply curve also slopes upward. slopes upward, but the long-run aggregate supply curve is vertical. slopes upward, but the long-run aggregate supply curve is horizontal. is vertical, and the long-run aggregate supply curve is vertical. Select the two true statements about natural selection.hOnly variations that help individuals avoid predators can become morecommon through natural selection.Natural selection causes advantageous variations to become morecommon over many generations.The result of natural selection in a population depends on the population'senvironment.Natural selection can cause an individual to gain new advantageousvariations during its life. 1.KNOW the UNITS!!!!!! SHOW YOUR WORKWhat is the net force exerted on a 150.0kg race-car driver while the race car is accelerating from 0 to 58.7m/s i3.50s? You had a bag of fruit snacks that you shared with 2 friends. Each of you got at least 6 fruit snacks. The inequality X326 models this situation. Solve the inequality to find the number of fruit snacks that were in the bag. There were at least fruit snacks in the bag. question 2 what are the key purposes of discussing a case study during an interview? select all that apply.