Given the following piecewise function,

f(3) =
f(8) =
f(-1) =

Given The Following Piecewise Function, F(3) = F(8) =f(-1) =

Answers

Answer 1

Answer:

f(3) = 5

f(8) = 3

f(-1) = 0

Step-by-step explanation:

Just plug in the number from the parentheses into the inequalities and whichever makes the inequality true plug into that equation so for example f(3) = ?

first plug 3 into the inequalities: 3 ≤ 0, 0 < 3 ≤ 5, 3 > 5

then find the one that's true which is: 0 < 3 ≤ 5  

then plug into the equation that corresponds to that inequality: 2(3) - 1 → 6 - 1 = 5


Related Questions

the sum of the height and radius of a right cylinder is 12 inches. what is the maximum volume of this cylinder

Answers

The maximum volume of this cylinder = 256π  cubic inches

What is volume?

In three-dimensional space, volume is the area occupied by an object within its borders. Another name for it is an object's capacity.

Let h be the height and r be the radius.

Then, h+r = 12

=> h=12-r

Volume of the cylinder (V):

V=πr²h

=> h= πr² ( 12-r )

=> h=  π ( 12r² - r³ )

Differentiate with respect to r , we get

dv/dr = 24 πr - 3πr²

Find r by taking dv/dr=0

24 πr - 3πr²  = 0

3π ( 8r - r² ) = 0

8r = r²

r=8

Again differentiating, we get

d²V/dr² = 24π - 6 π r

When r=8, 24π - 48 π  <0

So, V is maximum at r= 8 inches

And h= 12-8= 4 inches

Hence, the required volume of the cylinder = π8²*4 = 256π  cubic inches

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some stickers were divided among avea, brianna, and carson in the ratio 1:3:4. brianna recieved 21 stickers. how many stickers did ava receive?

Answers

Avea received 28 stickers when brianna, and carson in the ratio 1:3:4 and  brianna received 21 stickers.

What is a ratio?

The ratio is defined as the comparison of two or more quantities of the same units, which shows how much bigger one quantity is than another.

Equating the ratios :

Given,The ratio of the distribution of stickers among Avea, Brianna and Carson is 1:3:4

The number of stickers Briana received is 21

Let us consider x as the common factor of the given ratio then, The number of stickers received by the girls are

Avea = xBriana = 3x

Carson = 4x

As we know 3x = 21 x

 = 21/3

= 7

then,4x

= 4×7

= 28

The number of stickers that Avea received is 28. Hence, the answer is 28

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Hurry please i have 24 hours to do this. The area of the triangle below is 29.25 square feet. What is the length of the base?
6.5 ft

Answers

Answer:

length of base = 9 feet

Step-by-step explanation:

b= base   A= area   h= height

[tex]b=2*\frac{A}{h} = 2*\frac{29.25}{6.5} = 9[/tex]

a ladder reaches a maximum length of about 23 m. for any ladder to be safe, the angle it makes with the ground should be between 65° and 70°. one storey of a building is about 4 m. a fire breaks out on the fifth storey of a building. will the extension ladder reach the fifth storey safely?

Answers

Answer:

Given,

Let's assume the maximum safe height of wall = h

angle formed between ladder and ground = 70°

length of ladder = 16 ft

From the given data, it can be seen that ladder will form a right angle triangle structure with the wall

So,from the concept of trigonometry,

Sin70^o\ =\ \dfrac{\textrm{maximum safe height of wall}}{\textrm{length of ladder}}Sin70

o

=

length of ladder

maximum safe height of wall

= > Sin70^o\ =\ \dfrac{h}{16\ ft}=>Sin70

o

=

16 ft

h

= > \ h\ =\ 16\times Sin70^o=> h = 16×Sin70

o

=> h = 16 x 0.9396

=> h = 15.03 ft

So, the maximum safe height that can be reached by the ladder will be 15.03 ft.

Sorry I put the wrong answer.

Given the inequality 3(n − 6) < 2(n 12), determine which integer make the inequality fale. S:{−5}
S:{3}
S:{12}
S:{42}

Answers

The FALSE condition for the given inequality 3(n−6)<2(n+12) is (D) S:{42}.

What is inequality?

An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way.

The majority of the time, size comparisons between two numbers on the number line are made.

So, we have the inequality: 3(n − 6) < 2(n + 12)

Now, verify the false inequality as follows:

(A) S:{−5}

3(n − 6) < 2(n + 12)

3(-5 − 6) < 2(-5 + 12)

3(-11) < 2(7)

-33 < 14: TRUE


(B) S:{3}

3(n − 6) < 2(n + 12)

3(3 − 6) < 2(3 + 12)

3(-3) < 2(15)

-9 < 30: TRUE

(C) S:{12}

3(n − 6) < 2(n + 12)

3(12 − 6) < 2(12 + 12)

3(6) < 2(24)

18 < 48: TRUE

(D) S:{42}

3(n − 6) < 2(n + 12)

3(42 − 6) < 2(42 + 12)

3(36) < 2(54)

108 + 108: FALSE

Therefore, the FALSE condition for the given inequality 3(n−6)<2(n+12) is (D) S:{42}.

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Correct question:

Given the inequality 3(n − 6) < 2(n + 12), determine which integer makes the inequality false.

a. S:{−5}

b. S:{3}

c. S:{12}

d. S:{42}

out of 240 racers who started the marathon, 209 completed the race, 22 gave up, and 9 were disqualified. what percentage did not complete the marathon?

Answers

The percentage of racers that  did not complete the marathon is 12.9 %

What is arithmetic?

Arithmetic is an elementary a part of mathematics that consists of the study of the properties of the normal operations on numbers—addition, subtraction, multiplication, division, involution, and extraction of roots

Main Body:

Total racers = 240

racers that completed race = 209

so racers that did not complete the marathon = 240 - 209

 = 31

percentage of racers that  did not complete the marathon = (31/240)*100

                                                                           = 12.9 %

Hence percentage of racers that  did not complete the marathon is 12.9%

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Function g can be thought of as a translated (shifted) version of f(x) = x2.
++
-7-6-5-4-3-2

1
उक्त
-2-
-3-
-5-
-6-
Write the equation for g(x).
9 (x) = [
9
+2
2 3 4 5 6 7

Answers

Answer: 3

Step-by-step explanation:

The hydrogen ion​ concentration, ​[H​+], in a certain cleaning compound is [H+]=3.3x10^-12. Use the formula pH=-log​ [H​+] to find the pH of the cleaning compound.

Answers

The pH of the cleaning compound is 2.51.

What is pH?

pH, quantitative measure of the acidity or basicity of aqueous or other liquid solutions.

Given that, The hydrogen ion​ concentration, ​[H​+], in a certain cleaning compound is [H+]=3.3x10^-12.

[OH-] = 1.0*10^-14/3.3*10^-12 = 0.303*10^-12

pH = -log0.303*10^-12 = 2.51

Hence, The pH of the cleaning compound is 2.51.

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In a circle, an angle measuring 7.1 radians intercepts an arc of length 2.4. Find the radius of the circle to the nearest 10th.

Answers

The radius of the circle  with arc length of 2.4 and subtended angle at the center, 7.1 radians is 0.3

What is an arc of a circle?

The arc of a circle is defined as the part or segment of the circumference of a circle. A straight line that could be drawn by connecting the two ends of the arc is known as a chord of a circle. If the length of an arc is exactly half of the circle, it is known as a semicircular arc.

length of arc = 2.4

if 7.1 rad is the angle subtended by the intercepts of the arc

But [tex]\pi[/tex] rad = 180°

so 7.1 rad in degree = [tex]\frac{7.1}{\pi }[/tex] x 180  which is [tex](\frac{1278}{\pi } )^{} }[/tex] degree which is [tex]\alpha[/tex]

Length of an arc = [tex]\frac{\alpha }{360} * 2\pi r[/tex]

2.4 =  [tex](\frac{1278}{\pi } )^{} }[/tex] x [tex]\frac{1}{360}[/tex] x 2 x [tex]\pi[/tex] x r

The equation reduces to

2.4 = 7.1r

r = 2.4 ÷ 7.1

r = 0.334 which is 0.3

In conclusion the radius of the circle is 0.3

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Write the word sentence as an equation. Then solve the equation.
5 more than a number x is 9.
An equation that represents this word sentence is
The solution is x =

Answers

5 more implies it's going to be a plus

So the equation would be

5 + x = 9

To solve for x we would isolate x on one side so it would be

X= 9 - 5
X = 4

Meaning that the solution is x = 4

Hopefully this is right just change it to the best of your understanding

a farmer needs to enclose three sides of a garden with a fence (the fourth side is a river). the farmer has 47 meters of fence and wants the garden to have an area of 266 sq-meters. what should the dimensions of the garden be?

Answers

The dimensions of the garden would be length = 28 meters and width = 9.5 meters.

What are quadratic equations?

A quadratic equation in math is a second-degree equation of the form ax² + bx + c = 0. Here a, and b, are the coefficients, c is the constant term, and x is the variable. Since the variable x is of the second degree, there are two roots or answers for this quadratic equation.

Let the width be = w

Let the length be = L

enclose three side ( 2w+L) = 47 meter

L = 47-2w

Area of field = w*L

Area = w(47 - 2w)

266  = 47w - 2w²

2w² - 47w + 266 = 0

Solving this, we get

w = 14 or w = 9.5

The width should be less than the length so w = 9.5
Length = 47 - 2(9.5)

            = 47 - 19

            = 28 meters.

Hence, the dimensions of the garden would be length = 28 meters and width = 9.5 meters.

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Please answer asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

I would be C

Step-by-step explanation:

lookup here

help help help help help me​

Answers

What grade is that?

Step-by-step explanation:

Find the slope of the line that passes through (6, 6) and (3, 13). Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer: -3/7

Step-by-step explanation:

So the fomula for slope is m=x2-x1/y2-y1

if (6,6) is our first coordinate and (3,13) is our second that means 6 is x1 and 3 is x2. 6 will be y1 and 13 will be y2. now we plug in the numbers

m=3-6/13-6

m= -3/7

Please help :') ty ty ty ty ty. Show your work too! :)

Answers

The function represents the 3rd one

Which side is the longest

Answers

Answer:

PR

Step-by-step explanation:

The longest side is opposite the largest angle.

Answer: There are two equal sides

Step-by-step explanation:

Considering P and R are both 48 degrees and the only different angle is Q that would mean there are two equal sides.

How can the triangles be proven similar by the SAS similarity theorem? I give brainiest

Answers

Answer:

Show that the ratios UV/XY and WV/ZY are equivalent, and ∠V ≅ ∠Y.

Three cups of baking soda are poured into 9 mixing bowls so that each bowl holds the same amount of baking soda.

This visual model represents the situation, with each letter representing one of the bowls.

Three equally sized rectangles. Each rectangle is divided into 9 equal parts. Longer lines separate every 3 parts. The first 3 parts of the first rectangle are each labeled A. The second 3 parts of the first rectangle are each labeled B. The third 3 parts of the first rectangle are each labeled C. The first 3 parts of the second rectangle are each labeled D. The second 3 parts of the second rectangle are each labeled E. The third 3 parts of the second rectangle are each labeled F. The first 3 parts of the third rectangle are each labeled G. The second 3 parts of the third rectangle are each labeled H. The third 3 parts of the third rectangle are each labeled I.

How much baking soda does each mixing bowl hold?

Responses

19 cup
1 over 9, cup

16 cup
1 over 6, cup

14 cup
1 fourth, cup

13 cup

Answers

Answer:

Answer: 3 or 2 1/2 ethier is right

Step-by-step explanation:

B. If I go to be early, then I sleep well.
Converse:
Inverse:
Contrapositive:

Answers

Converse: if i sleep well, then i go to be early
Inverse: if i dont go to be early, then i dont sleep well
Contrapositive: if i dont sleep well, then i dont go to be early

The converse, inverse and contrapositive statements for the given conditional statement are :

Converse: if I sleep well, then I go to be early

Inverse: if I don't go to be early, then I don't sleep well

Contrapositive: if I don't sleep well, then I don't go to be early.

What is conditional statement?

A conditional statement is a part of mathematical reasoning which is a critical skill that enables students to analyze a given hypothesis without any reference to a particular context or meaning.

Given is a conditional statement, "If I go to be early, then I sleep well", we need to form its converse, inverse and contrapositive statements,

The rules for the given conditional statement are ;

Let p and q be the parts of the statement,

1) Converse statement = if p then q, converse = if q then p.

Therefore,

Converse: if I sleep well, then I go to be early.

2) Inverse statement = if p then q, inverse = if not p then not q.

Therefore,

Inverse: if I don't go to be early, then I don't sleep well.

3) Contrapositive statement = if p then q, Contrapositive = if not q then not p.

Therefore,

Contrapositive: if I don't sleep well, then I don't go to be early.

Hence, the converse, inverse and contrapositive statements for the given conditional statement are :

Converse: if I sleep well, then I go to be early

Inverse: if I don't go to be early, then I don't sleep well

Contrapositive: if I don't sleep well, then I don't go to be early.

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what is the answer i need an answer pls

Answers

Answer: The first option

Step-by-step explanation: Once you multiply all the denominators to make them the same, the numerators (in the original order they are given in) become 63, 16, and 44.

16<44<63, which is the first option.

a rectangle is 4 times a long as it is wide. if the length of the third side?

Answers

the length and breadth of the rectangle is L = 4, B =16

Let L and B stand for length and width, respectively.

a rectangle is 4 times a long as it is wide

L=4B …….(1) (1)

L1 and B1 should represent the revised length and width.

L1=(L+4)

B1=(B-1)

Area = L1 + B1 + 60.

=> (L+4)×(B-1)=60 …….(2) (2)

Using (1)-

=> (4B+4)×(B-1) =60

=> 4×(B^2–1) = 60

=> B^2–1 = 15

=> B^2 = 16

=> B = +4 or -4

B=4 inches because breadth is always positive.

L = 4 B = 16 inches.

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John drew a triangle with side lengths of 5, 12 and 13. His friend, Bryan, looked at it and asked John if it is a right triangle. John’s response was yes. Explain or show how John can prove to Bryan that the triangle is a right triangle.

Answers

Using Pythagoras theorem, the numbers are from a right angled triangle

Pythagoras Triple

Pythagorean triples are a2+b2 = c2 where a, b and c are the three positive integers. These triples are represented as (a,b,c). Here, a is the perpendicular, b is the base and c is the hypotenuse of the right-angled triangle.

In this question, to find out if the numbers are a Pythagorean triple, we can use pythagoras theorem while assuming the longer side is the hypothenuse.

13² = 12² + 5²

169 = 144 + 25

169 = 169

The numbers are Pythagorean triple because the sum of square of the two sides is equal to the square of the hypothenuse.

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donnell is doing market research for a major brand by surveying customers at a local mall the probability of a customer agreeing to take the survey is 22% what is the probability that one of the first five sustomers agrees to take the survey

Answers

The probability that one of the first five customers agrees to take the survey is 71%

Here we have to use binomial distribution.

What is binomial distribution?

A common probability distribution known as the binomial distribution simulates the likelihood of getting one of two outcomes given a set of parameters. It provides a summary of the number of trials when each trial has an equal chance of producing a particular result.

A binomial distribution with the following formula could be used to represent the proportion of clients who agree to participate in the survey out of 5:

X ~ Bin (n = 5, p = 0.22)

Thus the probability is computed as:

P(X >= 1) = 1 - P(X = 0) = [tex]1 - (1-0.22)^5[/tex]

= 0.71

The required probability in this case is therefore 71%.

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question if r and s are positive integers, is ​r over s​ less than ​one third​ ? (1) r is less than 20. (2) s is greater than 65.

Answers

The correct option e. Statements (1) and (2) TOGETHER are NOT sufficient.

(1) r is less than 20: NOT sufficient.(2) s is greater than 65: NOT sufficient.Define the term positive integers?The counting numbers or natural numbers, which are also known as the positive integers, are the numbers 1, 2, 3,... Any figure higher than zero is considered positive.

For the stated question-

1. R is less than 20: insufficient since s is unknown.

2. Because there is no date for r, statement 2 is insufficient because S is bigger than 65.

We now have two conditions when combined. s>0 and s>65, r 20 and r>0.

Using the maximum possible value of r as an example and the least possible value of s as an example, the value is greater than 1/3.

Therefore, every values for r would only decrease, while s will rise.

Therefore, simply stating that it won't be below 1/3 will do.

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The complete question is-

If r and s are positive integers, is r/s less than 1/3 ?

(1) r is less than 20.

(2) s is greater than 65.

a. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

b. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

c. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

d. EACH statement ALONE is sufficient.

e. Statements (1) and (2) TOGETHER are NOT sufficient.

a farmer wants to fence an area of 3750 square feet in a rectangular field and then divide it in half with a fence parallel to one of the sides of the rectangle. what should the lengths of the sides of the rectangular field be so as to minimize the amount of fencing needed?

Answers

The lengths of the sides of the rectangular field so as to minimize the amount of fencing needed is 30 feet by 20 feet

Let x represent the length of the fence and y represent the width of the fence.

Since the area is 3750, hence:

Area = length * width = x * y

3750 = xy

y = 3750/x

A fence divide the field in half and is parallel to one of the sides of the rectangle. Hence:

Amount of fencing needed (P) = x + x + y + y  + y = 2x + 3y

Amount of fencing needed (P) = 2x + 3(3750/x) = 2x + 1800/x

To minimize the amount of fencing needed, dP/dx = 0, hence:

dP/dx = 2 - 1800/x²

2 - 1800/x² = 0

2 = 1800/x²

2x² = 1800

x² = 900

x = 30 feet

y = 600/x = 600/30 = 20 feet

Hence, the lengths of the sides of the rectangular field so as to minimize the amount of fencing needed is 30 feet by 20 feet

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An urn has 4 green balls and 6 red balls. A experiment consists of selecting 5 balls from the urn without replacement. Find the expected number of red balls chosen, and its variance.

Answers

The expected variance of red balls chosen is 2/3 from the urn.

Define the term variance?Variability is measured by the variance. The average of the squared variance is used to calculate it. The degree of dispersion within your data set is indicated by variance. The variance is greater in respect to the mean the more dispersed the data.

Six red balls and four green balls are in an urn.

Till a urn is empty, we take balls out of it one at a time without replacing them and noting their order of the colors.

Let X represent the proportion of red balls in the initial five drawings.Y represent the proportion in the next five draws.

The, the variance is found as-

Variance(X,Y) = E(XY) - E(X).E(Y).E(XY)

E(XY)  = 25×(6/10)(4/9)

E(X) = 5×(6/10)

E(Y) = 5×(4/10)

Thus,

Variance(X,Y) = 25(6/10)(4/9) - 25(6/10)(4/10)

Variance(X,Y) = 2/3

Thus, the variance for choosing red balls is 2/3.

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Simplify the following expression completely. 3(2x-1)+5(2x-1)

Answers

Answer:

= 16x - 8

Step-by-step explanation:

3(2x - 1) + 5(2x - 1)

8(2x - 1)

16x - 8

Answer:

16x - 8

Step-by-step explanation:

Given expression,

→ 3(2x - 1) + 5(2x - 1)

Simplifying the expression,

→ 3(2x - 1) + 5(2x - 1)

→ 6x - 3 + 10x - 5

→ (6x + 10x) + (-3 - 5)

→ 16x +(-8)

→ 16x - 8

Hence, solution is 16x - 8.

A person casts a shadow that aligns with the shadow of a tree. The person is 5.5 feet tall, and casts a shadow of 8.25 feet long. The tree's shadow measures 22.5 feet long.

How tall is the tree? How far is the person standing from the tree?​

Answers

Part a: Height of tree;  15 feet.

Part b: distance of tree from person; 14.25 feet.

What characteristics do related triangles share?When the ratio of two  triangles' respective sides is equal in magnitude while their corresponding angles are congruent, two triangles are said to be comparable in geometry.Furthermore, two geometric forms are only regarded as congruent when their associated side lengths and angle magnitudes are congruent.We can now create an equation which can be used to calculate the height of the tree.

Part a: Height of the tree;

We get the following mathematical formula (equation) since the ratio of a corresponding sides of similar triangles is equal in magnitude:

22.5/8.25 = x/5.5

In which

x is the height of the tree.

Then,

22.5/8.25 = x/5.5

Further simplifying;

8.25x = 22.5 × 5.5

8.25x = 123.75

x = 123.75/8.25

x = 15 feet. (height of the tree)

Part b: distance of tree from person;

These calculations can be used to determine how far away from the tree this individual is:

Distance equals the product of a person's shadow and a tree's shadow

Distance = 22.5 - 8.25

Distance = 14.25 feet.

Thus,  distance of tree from person is 14.25 ft.

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help answer right answers only

Answers

Answer:

3. 70 degrees

4. 110 degrees

Step-by-step explanation:

3. The angles are mirrored on both sides

4. A straight line is equal to 180 degrees so if <AED is 70 degrees then you would do 180-70 to get 110 degrees

Which form of a linear equation do you prefer to use: slope-intercept form or point-slope form? list advantages and disadvantages of each. Compare your answer with a classmate's and discuss any differences.

Answers

Both slope-intercept form and point-slope form are equally important and useful, and easy to use. The advantages and disadvantages of both forms of linear equations are shown below.

Point-slope form:

Advantages: One of the three forms we can use to express a straight line is the point-slope form, also referred to as the point-gradient form.

This form is helpful since it allows us to find the equation of the line by only knowing the slope and one point along the line.

Disadvantages: Since vertical lines have arbitrary slopes, one limitation of the point-slope form is that it cannot be used to describe the equation of a vertical line.

Standard form and slope-intercept form are two additional frequently used forms.

Slope-intercept:

Advantages: The slope of the line and the y-intercept are both clearly displayed in slope-intercept form.

The slope of the line and the single point the line passes through are both plainly displayed in point-slope form.

When working with equation systems, the standard form is more convenient. (specifically, to locate the intersection with matrices).

Disadvantages: Slope-intercept form has the same drawbacks as a point-slope form in that vertical lines cannot be represented since the slope of a vertical line is ill-defined.

Therefore, both slope-intercept form and point-slope form are equally important and useful, and easy to use. The advantages and disadvantages of both forms of linear equations are shown below.

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Other Questions
which of the following statements are true of buffer solutions? 1.a buffer solution can be made by mixing equal concentrations of acetic acid and sodium acetate. 2.a buffer solution can be made by mixing equal concentrations of hydrochloric acid and sodium chloride. 3.a buffer solution resists changes in ph when small quantities of acid or base are added. group of answer choices 1 and 3 only 2 and 3 only 1 and 2 only all of 1, 2, and 3 none of 1, 2, and 3 How geography and culture might influence the creation of free trade agreements Identify Structure D. weaving in and out of traffic; frequently cutting people off and frequently exceed the speed limit are all considered: choose one a. types of aggressive driving b. perfectly legal and safe driving practices c. ways to prevent road rage which of the following is not an observed characteristic described by prospect theory? a. negativity dominance b. risk aversion to sure loss c. diminishing marginal utility d. endowment effect e. all of the above are described by prospect theory module 11 assignment: public goods and oer public goods are often thought to be goods or services that are provided by the government, but that confuses cause and effect. what exactly are the characteristics of a public good? hint: who provides the public good is not one of the characteristics. consider open educational resources (oer), for example, open textbooks. these are available free online from companies like openstax college and lumen learning. make a case for why oer can be considered public goods. hint: who covers the cost of providing these products and why is that relevant to your answer? the nurse in an outpatient clinic is conducting a follow-up assessment on a child who had a severe streptococcal infection 1 week ago. the client is doing better, and the nurse is providing teaching to the parents about continuing to monitor the client for possible complications of the infection. which information is most important for the nurse to discuss with the parents? what industry is typically believed to be important in times of national crisis in the united states? you are instructed to subtract four points from each score, square the resulting value, and find the sum of the squared numbers. how would this set of instructions be expressed in summation notation? yet water shortages are a major problem for many people around the world. why do you think this is the case? Mrs. Torres took her granddaughters out to lunch. The total cost of lunch was $37.79. If she wanted to leave a 15% tip, how much money would she need to leave total? a teacher asking students to suggest the due date for an assignment would be representative of which type of leadership communication style? Robert hired James, a CPA to prepare his tax return. James was too busy and delegated the work to Sara, also a CPA. This delegation is..a) enforceable, as Sara is also a CPAb) enforceable, as there was no expectation that James would do this work c) not enforceable, as Robert hired James to perform a personal service d) not enforceable, as this violates public policy A college is currently accepting students that are both in-state and out-of-state. They plan to accept four times as many in-state students as out-of-state, and they only have space to accept 100 out-of-state students. Let x = the number of out-of-state students and y = the number in-state students. Write the constraints to represent the incoming students at the college. x > 0 and y > 0 0 < x 100 and 0 < y 400 0 < x 100 and y > 400 0 < x and y < 100 Everyone is exposed regularly to ionizing radiation found in the soil, water, and air and from cosmic rays. In fact, 80% of the ionizing radiation people are exposed to comes from naturally occurring sources. Ionizing radiation can cause double-strand breaks in the DNA. Often, the DNA breaks have missing nucleotides at the broken ends. What type of repair would likely be used, and what would be the result of repairing this type of damage?A. Nonhomologous end joining would be used and would lead to properly repaired DNA.B. Direct repair would be used to join the DNA, but errors would still remain.C. Nonhomologous end joining would be used to join the DNA, but errors would still remain.D. Direct repair would be used and would lead to properly repaired DNA.C the time series competitive efforts section of the competitive intelligence report which provides every company's management team with a means of reviewing how the regional competitive efforts of any company of interest have changed over the years is particularly useful for: (x+2)(x+1) expand and simplify a sample of 6.9 moles of gas is placed in a container of volume of 30.4 l. what is the pressure of the gas in torr if the gas is at 62oc? what would be the volume of this gas if placed at stp? what opinion of a democratic president would you expect an eleven-year-old child raised in a politically active republican household to have? Abused children more readily perceive _______ in a series of human faces than children who havent experienced abuse.