Rita goes to the mall. If d is the number of items she ​bought, the expression 18.82d+22 gives the amount she spent in dollars at one store. Then she spent 20 dollars at another store. Find the expression which represents the amount Rita spent at the mall. Then estimate how much Rita spent if she bought 6 items. PLEASEEEE HELPPPP

Answers

Answer 1

The expression which represents the amount Rita spent at the mall is 18.82d + 42. If d = 6, then the total amount spent is $154.92.

What are Expressions?

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Amount spent at one store is given by the expression 18.82d + 22.

Here d is the number of items she bought at that store.

Amount spent at another store = $20

Total amount spent at the mall = 18.82d + 22 + 20 = 18.82d + 42.

If she bought 6 items, d = 6.

Total amount spent = (18.82 × 6) + 42 = $154.92

Hence the required expression to find the total amount is 18.82d + 42. And the total amount spent if the items bought is 6 is $154.92.

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Related Questions

need help ASAP Using a proportion, how can we find 12% of 125? Please show your proportion set up and all work.

Answers

Answer:

9

Step-by-step explanation:

Think about u coming 3 + 3 then subtract it to 10 then u will get 1 more then yea u get 9

Mr. and Mrs. Torres have three pretty daughters, Jane, Jade and Jem. Jane is twice old as Jade, and Jem is 5 years younger than Jane. If n represents the age of Jade and the sum of their ages is 55, then ;

1. Who among the children is the youngest?

2, Write an expression representing the age of Jane.

3. Who among the children is the oldest?

4. How old is Jade?

5. Write an equation representing the sum of ages of Jane, Jade, and Jem.

Answers

The youngest child is Jade.

The expression that represents Jane's age is 2n.

The oldest child is Jem.

Jade is 12 years old

The equation that represents the sum of ages is 5n - 5 = 55.

What are the ages of the siblings?

Jade's age = n

Jane's age = 2 x n = 2n

Jem's age = 2n - 5

Sum of the ages:

n + 2n + 2n - 5 = 55

5n - 5 = 55

Jade's age can be determined using the above equation:

5n = 55 + 5

5n = 60

n = 60 / 5

n = 12

To determine Jane and Jem's age, substitute for n in the equation that represents their ages.

Jane's age = 2 x 12 = 24

Jem's age = 2(12) - 5

= 24 - 5

= 19

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what can we say about the relationship between the correlation r and the slope b of the least-squares line for the same set of data?

Answers

The correct answer is the signs for r and b are the same (+ or ). The slope b and the correlation r don't necessarily have the same values, but they always share the same sign.

The idea employed in the issue is

1.Correlation

2.Regression

Correlation: Correlation analysis is used to gauge how strongly two variables are related. The symbol for the correlation coefficient is r.

Shape: Whether the data points follow a linear pattern or some other complex curves is indicated by the association's form. If it seems that a line would adequately summarise the overall trend in the data, then do so. The relationship between the two variables is then linear.

The appropriate statement can be found below:

The determination of the standard deviation between the two variables influences how a least-squares linear regression function slopes, and in a similar way, how the sample correlation coefficients are interpreted.

By examining the sign of the regression slope and the correlation coefficient, which depend on the standard deviation between the two variables, the proper conclusion can be drawn.

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4 dump trucks carry eight tons of gravel evenly between them. How much gravel is in
one dump truck? Draw a model, write an expression and solve.

Answers

There are 2 gravel is in one dump tuck.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

4 dump trucks carry 8 tons of gravel evenly between them.

Hence, Number of gravel in one dump truck = 8 / 4

                                                                      = 2

Thus, There are 2 gravel is in one dump tuck.

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Can someone help me please

Answers

Given the above Trigonometric expressions,

1) θ = 35°

2) θ =62°

3) θ = 90-y°

What is a Trigonometric expression?

Trigonometric functions are real functions in mathematics that connect an angle of a right-angled triangle to ratios of two side lengths. They are widely utilized in all geosciences, including navigation, solid mechanics, celestial mechanics, geodesy, and many more.

There are six expressions of an angle that are often used in trigonometry. Their names and acronyms include

sine (sin)cosine (cos)tangent (tan)cotangent (cot)secant (sec), and cosecant (csc).

For A)

Sin(55) = cos (θ)

sin (55)= sin(90-θ)

Compare both sides

55 = 90 - θ

θ = 90 - 55

θ = 35°

For B)

Sin(θ) = Cos (28)

angle θ would be  Arc sin (cos (28))

Thus,

θ =  62°

For C)

Cos(y) = sin (θ)

Angle θ = arc sin ( cos (y) )

Thus,

θ = 90 - y


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Do the ratios 7:14 and 4:8 form a proportion?

Answers

Answer:

Yes. Both ratios can be reduced down to 1/2.

Step-by-step explanation:

Hope it helps!

What does it mean to be proportional?

For two numbers to be proportional, they need to be directly increasing or decreasing in a constant ratio.

To simplify these ratios, we can use division.

7: 14 = 1: 2(7 ÷ 7 = 1)(14 ÷ 7 = 2)

So, 7: 14 simplified is 1: 2.

4: 8 = 1:2(4 ÷ 4 = 1)(8 ÷ 4 = 2)

So, 4: 8 simplified is 1: 2.

If these ratios are both simplified to equal 1 :2, they are proportional.

Please help w/ explanation

Answers

Answer:

d)

Step-by-step explanation:

50-18=324

32÷50=0,64

350×0,64=224

Which expressions represent positive numbers?
(Choose 2)

Answers

Answer:

D

Step-by-step explanation:

what is the conjugate of √3-√2​

Answers

Answer:

3 + √2 best believe it haha

name the sampling method used in this data collection. a student interview classmates in algebra class to determine how many pairs of jeans a students owns, on the average.

Answers

The average number of pairs of jeans owned by students in the sample can be calculated by taking the sum of the jeans owned by all students in the sample and dividing it by the number of students in the sample.

The sampling method used in this data collection is cluster sampling. Cluster sampling is a probability sampling technique that divides the population into separate groups or clusters and randomly selects a number of those clusters to be included in the sample. In this case, the population would be the students in the algebra class, and the clusters would be the individual students. Using a simple random sampling technique, the interviewer would select a certain number of students from the class and ask them how many pairs of jeans they own. The average number of pairs of jeans owned by the students in the sample would then be calculated by adding together the number of jeans owned by all of the students in the sample, and then dividing by the number of students in the sample.

Average number of pairs of jeans owned by students in sample = (Sum of jeans owned by all students in sample) / (Number of students in sample)

The average number of pairs of jeans owned by students in the sample can be calculated by taking the sum of the jeans owned by all students in the sample and dividing it by the number of students in the sample.

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A water bottle holds 56 ounces of water. How many cups does the water bottle hold? (1 cup = 8 fluid ounces)

7 cups
9 cups
14 cups
48 cups

Answers

Total 7 cups are being holded by the water bottle.

What is a fraction ?

In Maths, a fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole. A fraction has two parts, namely numerator and denominator. The number on the top is called the numerator, and the number on the bottom is called the denominator.

Given :

water bottle : 56 ounces of water

1 cup = 8 fluid ounces

Cups that holds 56 ounces of water = 56/8 [Since, 1 cup = 8 fluid ounces]

Cups that holds 56 ounces of water = 7

Cups that holds 56 ounces of water = cups that water bottle can hold

Thus , cups that water bottle can hold  = 7

Hence , Total 7 cups are being holded by the water bottle.

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- x + y = 7
x + y = 1

Answers

Answer:

So, the solution is x = -3 and y = 4. This means that the two lines intersect at the point (-3, 4)

Step-by-step explanation:

The given equations represent two lines in a two-dimensional plane. To find the solution for the values of x and y that satisfy both equations, we can use the method of substitution or elimination.

Using substitution, we can solve for x or y in one of the equations and substitute the result into the other equation. Let's solve for y in the second equation:

x + y = 1

y = -x + 1

Now, substitute this expression for y into the first equation:

-x + (-x + 1) = 7

-2x + 1 = 7

-2x = 6

x = -3

Finally, we can use the expression for y that we derived earlier to find y:

y = -x + 1 = -(-3) + 1 = 4

a bowl has 5 apples, 2 of them are poisoned. what is the probability that you will eat both of the poisoned apples if you randomly eat 3 out of the five apples (without replacement)?

Answers

The probability of eating both poisoned apples if you randomly eat 3 out of the five apples without replacement is 1/10 or 0.1.

To calculate this probability, we use the formula for combinations of n objects taken r at a time, (nCr) which is equal to n!/r!(n-r)!. In this example, n = 5 and r = 3, so the formula reduces to 5!/3!(5-3)! = (5*4*3)/(3*2*1) = 10. This means that there are 10 different combinations of 3 apples, out of the five, that can be chosen. Since only two of the apples are poisoned, the probability of eating both of the poisoned apples is 2/10 or 0.1.

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please help find the midpoint of the segment with the given endpoints. (4,0) and (-2,-3) the midpoint is???

Answers

Answer:

(1, - 1.5 )

Step-by-step explanation:

given endpoints (x₁, y₁ ) and (x₂, y₂ ) then

midpoint = ( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

here (x₁, y₁ ) = (4, 0 ) and (x₂, y₂ ) = (- 2, - 3 ) , then

midpoint = ( [tex]\frac{4-2}{2}[/tex] , [tex]\frac{0-3}{2}[/tex] ) = ( [tex]\frac{2}{2}[/tex] , [tex]\frac{-3}{2}[/tex] ) = (1, - 1.5 )

(1, -1.5).

Step-by-step explanation:

The midpoint of a segment with endpoints (x1, y1) and (x2, y2) is given by the following formula:

((x1 + x2)/2, (y1 + y2)/2)

So, for the given endpoints (4,0) and (-2,-3), the midpoint is:

((4 + (-2))/2, (0 + (-3))/2) = (1, -1.5)

The midpoint of the segment is (1, -1.5).

Clint can spend at most $20 on his ticket and refreshments at a basketball game. His ticket to the game costs $4.50. Let a represent the amount Clint can spend on refreshments.
What inequality that can be used to represent the problem

Answers

The inequality that can be used to represent the problem is given as follows:

4.5 + a ≤ 20.

How to obtain the inequality?

Clint's total spending is divided as follows:

$4.50 for the game ticket.$a on refreshments.

Then the equation that represents Clint's total cost is given as follows:

T(a) = 4.50 + a.

The maximum amount that he can spend is given as follows:

$20.

Hence the inequality that can be used to represent the problem is given as follows:

T(a) ≤ 20.

4.5 + a ≤ 20.

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can you pack 85 bricks of dimension 1x1x6 into a box of dimension 8x8x8? explain how you got your answer. *

Answers

If the dimension of brick is  1×1×6 and that of box is 8×8×8 , then yes , it is  possible to pack 85 bricks in the box .

We first calculate the Volume of the box and Volume of the brick ;

The volume of one brick is calculated as 1×1×6 = 6 cubic inches,

so 85 bricks would have a total volume of = 6×85 = 510 cubic inches.

The Volume of the box is 8×8×8 = 512 cubic inches,

we get that the volume of the box is greater than volume of cube , then it is possible to fit 85 bricks of volume 510 cubic inches into a box of volume 512 cubic inches.

Therefore, it is possible to pack 85 bricks of dimension 1×1×6 into a box of dimension 8×8×8 .

The given question is incomplete , the complete question is

Can you pack 85 bricks of dimension 1×1×6 into a box of dimension 8×8×8 ? Explain how you got your answer.

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Question 1 of 10
Which of the following rational functions is graphed below?

Answers

The rational function graph is of the function f(x)=1/(x-6) since it does not touch the point (6,0).

What is function?

A function is an equation with just one solution for y for every x. A function produces exactly one output for each input of a certain type. Instead of y, it is usual to call a function f(x) or g(x). f(2) indicates that we should discover our function's value when x equals 2. "A function is a rule that assigns one output to each input. They arise when each x-value corresponds to exactly one y-value." You've undoubtedly also heard of the vertical line test.

Here,

The graph of rational function is of function f(x)=1/(x-6) as it does not touch the point (6,0).

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a company making refrigerators strives for the internal temperature to have a mean of 37.5 degrees with a standard deviation of 0.6 degrees, based on samples of 100. a sample of 100 refrigerators have an average temperature of 37.37 degrees. are the refrigerators within the 90% confidence interval?

Answers

Average temperature of sample of 100 refrigerator is  37.37 degrees. yes the refrigerators within the 90% confidence interval.

Yes, the temperature is within the confidence. A company making refrigerators strives for the internal temperature to have a mean of 37.5 degrees with a population standard deviation of 0.6 degrees, based on samples of 100.

The average temperature of the air that is indicated by a thermometer that is properly exposed during a given time period, usually a day, a month, or a year.

The confident choice is the criteria that you choose or the range that you choose that your answer might fall in this area according to your estimation as the chances of getting fail become lesser and lesser as your confidence about for choice increases.

There is a 5% chance if being wrong among the 95% confident choice . And also there is a 10% chance of being wrong with a 90% confident choice  .But 99% confident choice will be wider as there will be minimum chance of being wrong.

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how many sequences of length 10 can be formed from the digits 1,2 and 3 if repetition is not allowed?

Answers

The number of sequences of length 10 that can be formed from the digits 1, 2, and 3 without repetition is 59,049.

The number of sequences of length 10 that can be formed from the digits 1, 2, and 3 without repetition is 3^10, or 59,049.

This is because for each of the 10 positions in the sequence, you have 3 choices: 1, 2, or 3, and since repetition is not allowed, the choices for each position are mutually exclusive.

Two occurrences are mutually exclusive or disjoint in logic and probability theory if they cannot occur at the same time. The set of outcomes of a single coin toss, which can result in either heads or tails but not both, is a good example.

Mutually exclusive is a statistical word that describes two or more occurrences that cannot occur at the same time. It is typically used to describe a circumstance in which the occurrence of one result takes precedence over the occurrence of the other. War and peace, for example, cannot exist together.

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HELP pls will mark you the brainliest.

Answers

The ordered pair that represents the solution to the system of equations is given as follows:

(-3,-0.5).

How to solve the system of equations?

The equations of the system are given as follows:

y = 0.5x + 1.y = 1.5x + 4.

The x-coordinate of the ordered pair representing the solution to the system of equations is given as follows:

0.5x + 1 = 1.5x + 4

-x = 3

x = -3.

The y-coordinate of the ordered pair representing the solution to the system of equations is given as follows:

y = 0.5(-3) + 1

y = -1.5 + 1

y = -0.5.

Meaning that the correct option is given by the first option.

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1. 1/3x = 1

What is the value of x?

2. 2.11/0.25

3. Evaluate 0.7/2.1

4. 0.21 x 1.29

5. P - 3/4 = 1/8

Value of P?

Answers

The equations are simplified to:

1. x = 1/3

2. 8. 44

3. 0.35

4. 0.27

5. P = 7/8

How to simply the equations

From the information given,, we have that;

1.  1/3x = 1

to simply this, cross multiply

3x = 1

Make 'x' the subject

x = 1/3

2. 2.11/0.25

Divide the values

8. 44

3.  0.7/2.1

To evaluate this, divide the numerator by the denominator

0.35

4. 0.21 x 1.29

To simply, multiply the values

0.27

5.  P - 3/4 = 1/8

collect like terms

P= 1/8 + 3/4

Find the LCM

P = 1 + 6  /8

P = 7/8

Hence, the values are simplified by multiplication, addition and division

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Find the measure of the angle between two intersecting lines if successive reflections in these lines creates a rotation of 80 degrees

Answers

Answer:

wheres the pic to see rotation

Step-by-step explanation:

CAN SOMEONE PLEASE HELP !!! ASAP

Answers

hello hello I am working for a company in North London with this machine and have 5.30am with this machine and it has been a few months now since yesterday and I have not received the refund so can I get in touch as I have not been able for any further action on this machine and I have not received the refund or refund the money back

(−6x−2)+(6x
2
−5x−10)

Answers

Answer:

6x^2 - 11x - 12

Step-by-step explanation:

(-6x-2)+(6x^2-5x-10)

6x^2 - 11x - 12

what is 88 to 22 precent decrese? choose from the picture :/

Answers

Answer:

75% decrease

Step-by-step explanation:

88 - 66 = 22

66 is 75% of 88

[tex]\huge\text{Hey there!}[/tex]


[tex]\mathsf{Percentage\ change \ formula\ is: \bf \dfrac{(v_2 - v_1)}{|v_2|}\times 100 = \boxed{\mathsf{\bf percentage \ change}}}[/tex]


[tex]\textsf{Your equation:} \mathbf{\dfrac{(22 - 88)}{|88|}\times 100}[/tex]

[tex]\mathbf{\dfrac{(22 - 88)}{|88|}\times 100}[/tex]

[tex]\mathsf{= \mathbf{\dfrac{(22 - 88)}{|88|}\times \dfrac{100}{1}}}[/tex]

[tex]\mathbf{= \dfrac{-66}{88}\times\dfrac{100}{1}}[/tex]

[tex]\mathbf{= \dfrac{-66\div 11}{88\div11}\times\dfrac{100}{1}}[/tex]

[tex]\mathbf{= \dfrac{-6}{8}\times \dfrac{100}{1}}[/tex]

[tex]\mathbf{= \dfrac{-6\div2}{8\div2}\times \dfrac{100}{1}}[/tex]

[tex]\mathbf{= \dfrac{-3}{4} \times \dfrac{100}{1}}[/tex]

[tex]\mathbf{= \dfrac{-3\times100}{4\times1}}[/tex]

[tex]\mathbf{= \dfrac{-300}{4}}[/tex]

[tex]\mathbf{= -300\div4}[/tex]

[tex]\mathbf{= -75}[/tex]

[tex]\mathbf{\rightarrow -75\%\ will\ be\ your\ change}[/tex]

[tex]\mathbf{\rightarrow 75\%\ will \ be\ your\ percentage\ change\ that\ decreased}[/tex]



[tex]\huge\text{Therefore your answer should probably be:}[/tex]

[tex]\huge\boxed{\mathsf{75\% \ decrease}}\huge\checkmark[/tex]

[tex]\huge\text{So, your I guess the answer with the choices}\\\\\huge\text{you have provided we will be: }\\\\\huge\boxed{\textsf {77.3\% (Option C.)}}}\huge\checkmark[/tex]



[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

HELP pls will mark u the brainliest

Answers

The linear equation is y = 20 + 2x and the complete table of values is

Kites purchased     Total cost

0                                      20

1                                      22

4                                      28

7                                     34

10                                   40

How to complete the table of values

From the question, we have the following parameters that can be used in our computation:

Cost of kite = $20 for shopping and $2 per kite

When this is represented as an equation, we have

y = 20 + 2x

Where x = the number of kites purchased

Using the above as a guide, we have the following:

When x = 4

y = 20 + 2 * 4 = 28

When x = 7

y = 20 + 2 * 7 = 34

When x = 10

y = 20 + 2 * 10 = 40

So, the missing entries are $28, $34 and $40

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can anyone help me with this problem it is 3x-y=2 and y= 1/3x-11 and I have to answer if its in parallel, perpendicular or neither

Answers

Answer:

neither

Step-by-step explanation:

3x - y = 2    put this is slope-intercept form

-y = -3x + 2

y = 3x - 2    compare this to the other equation y = 1/3x - 11

slope of the 1st one:  m = 3

slope of the 2nd one: m = 1/3

if the lines were parallel, the slopes would be the same

if the lines were perpendicular, one slope would be the negative reciprocal of the other

To determine if the lines represented by the equations 3x - y = 2 and y = 1/3x - 11 are parallel, perpendicular, or neither, you need to find the slopes of both lines and compare them.

The slope of the first line, 3x - y = 2, can be found by rearranging the equation into slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept. Solving for y:

y = -3x + 2

So the slope of the first line is -3.

The slope of the second line, y = 1/3x - 11, is simply 1/3.

Parallel lines have the same slope. Perpendicular lines have negative reciprocal slopes.

Since the slopes of the lines are not equal, they are not parallel. And since the product of their slopes is not -1, they are not perpendicular. Hence, they are neither parallel nor perpendicular

Jim is buying some clothes at Kohls. He buys a jacket that costs $75 and 5 pairs of shorts that each cost the same amount. He spends a total of $175 on the shorts and jacket. Write and solve an equation to find the cost of each pair of shorts.

Answers

The equation to find the cost of each pair of shorts is 175 = 75 + 5x where each short cost $20

How to write and solve an equation?

Cost of jackets= $75

Number of shorts= 5

Cost of each short = x

Total amount Jim spent= $175

Total amount Jim spent = Cost of jackets + (Number of shorts × Cost of each short)

175 = 75 + 5x

subtract 75 from both sides

175 - 75 = 5x

100 = 5x

divide both sides by 5

x = 100/5

x = $20

Ultimately, each pair of shorts cost $20

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insert four arithmetic means between 4 and 19​

Answers

Let A1,A2,A3,A4 be the 4 A.M.s between 4 and 19.

Then,

4,A1, A2,A3, A4,19 are in A.P. of 6 terms.

An=a+(n−1)d

a6=19=4+(6−1)d

Or d = 3 ...... (i)

Now,

A1=a+d=+3=7

A2=A1+d=7+3=10

A3=A2+d=10+3=13

A4=A3+d=13+3=16

The 4 A.M.s between 4 and 19 are 7, 10, 13, 16.

what is arithmetics?

Arithmetic is a fundamental branch of mathematics that studies the characteristics of classical operations on numbers such as addition, subtraction, multiplication, division, exponentiation, and root extraction. The term "arithmetic" derives from the Greek arithmtik (tekhn), which means "(art) of counting," and from the Greek arithmos, which means "number.".

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Can y’all please give me the answers I would truly appreciate it

Answers

Step-by-step explanation:

a.) So he has 13 coins and those coins are nickels and quarters. If we let n be nickels and q be quarters

n + q = 13 because the total number of quarters plus nickels is 13

The coins have a total value of $2.05

Nickels are 0.05 cents and quarters are 0.25 cents, which means

0.05n + 0.25q = $2.05

Making your system of equations

[tex]n + q = 13 \\ 0.05n + 0.25q = 2.05[/tex]

Answer:

a.) So he has 13 coins and those coins are nickels and quarters. If we let n be nickels and q be quarters

Step-by-step explanation:

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I understand the definitions for those words are shown, but I'm still lost.. determine which of the following statements regarding public debt is false: corporate bonds always pay coupons semiannually. bearer bonds are like currency. almost all bonds that are issued today are registered bonds. debentures and notes are unsecured debt. for asset-backed bonds and mortgage bonds, specific assets are pledged as collateral that bondholders have a direct claim to in the event of bankruptcy. how might strongly defined economic roles and goals be both a strength and a weakness of traditional economies? in the five-factor theory of personality, the dimension that measures whether a person is quiet, reserved, passive, and a loner or whether a person is talkative, active, affectionate, and a joiner is called question 13 options: a) agreeableness. b) neuroticism. c) extroversion. d) openness to experience. write an exprssion that is the product of two factors and is equivalent -2x -10 Try This question out and Ill give you brainliest let x denote the time in minutes (rounded to the nearest half minute) for a blood sample to be taken. the probability mass function for x is x 0 0.5 1 1.5 2 2.5 f(x) 0.1 0.2 0.3 0.2 0.1 0.1 determine the following: (a) p(x 2.25) (b) p(0.75 the moon completes one orbit around the earth every 27.3 days with respect to the fixed stars. how far (in degrees) does the moon move around the earth in one day? (recall that one full orbit is 360 degrees.) Three softball players discussed their batting averages after a game.ProbabilityPlayer 1 seven eleventhsPlayer 2 six ninthsPlayer 3 five seventhsCompare the probabilities and interpret the likelihood. Which statement is true? Player 1 is more likely to hit the ball than Player 2 because P(Player 1) > P(Player 2) Player 2 is more likely to hit the ball than Player 3 because P(Player 2) > P(Player 3) Player 1 is more likely to hit the ball than Player 3 because P(Player 1) > P(Player 3) Player 3 is more likely to hit the ball than Player 2 because P(Player 3) > P(Player 2) when did texas officially become a state in the u.s.? refer to table 3-21. jamaica has a comparative advantage in the production of a. radios and norway has a comparative advantage in the production of coolers. b. neither good and norway has a comparative advantage in the production of both goods. c. both goods and norway has a comparative advantage in the production of neither good. d. coolers and norway has a comparative advantage in the production of radios. if 5.4 j of work is needed to stretch a spring from 10 cm to 16 cm and another 9 j is needed to stretch it from 16 cm to 22 cm, what is the natural length (in cm) of the spring? Select the correct equation for the following sentence: Twenty-four is the same as 31.4 times a number plus negative 8.4. 31.4n + 8.4 = 24 8.4n + 31.4 = 24 24 = 31.4n + (8.4) 24 31.4 = 8.4n which of the following serves as the primary intracellular cue for the release of interferon by a virus infected cell? group of answer choices the presence of intracellular viral protein :the presence of mhc i the presence of single stranded dna :the presence of double-stranded rna the nurse is assessing the client's ability to make sound judgments. which question would be best for the nurse to ask? gluten exposure for people with celiac disease will attack the organ? Erison Group, an advertising company, wants to hire someone as its creative head. Who among the following would be best suited for this position? a. An individual who has low tolerance for ambiguity and avoids taking risks b. An individual who completely adheres to the existing logic and paradigms and has extensive knowledge of the field c. An individual who has a moderate degree of knowledge of the field but is intrinsically motivated d. An individual who prefers to look at problems in conventional ways describe why you think the United States has declined to switch from the imperial system to the metric system. What potential problems does this create in an undeniably global society? Now we can think about what other factors influence diffusion since we know how displacement varies with time, specifically ((Ax)2) = 2Dt, where D, the proportionality constant, is called the diffusion coefficient. (The factor of 2 in the equation is included since, in one dimension, a particle can move in one of two directions -- left or right.) So we will now explore what determines the diffusion coefficient (using a very loose argument!). Particles (atoms or molecules) in a system have, on average, a value of kinetic energy (or thermal energy) of around a kBT, where kB is the Boltzmann constant (a fundamental constant of nature, which simply equals the ideal gas constant divided by Avogadro's number) and T is the temperature of the system. As particles collide with other particles, they can gain or lose energy. Using, again, an imprecise argument, kinetic energy losses result from the viscous drag forces acting on a particle moving through a background fluid. This viscous drag force is given by Stoke's equation, which you have likely studied earlier; Fdrag = 67 Rnu where R is the radius or size of the particle, n is the viscosity of the background fluid through which the particle is moving, and v is the speed of the particle, which we can write as displacement over time (v = The work, amount of mechanical energy removed by this particle, due to this drag force over a distance of A.x, is given by W = - Faraq Ax = -67 RNAx = -6Rn (47), the result being negative since the drag force is opposite the displacement of the particle (mechanical energy is being dissipated). The energy removed over this average displacement is about equal to the thermal energy, kBT. Finally, averaging over many particles and knowing how the displacement is related to time during diffusion, again, ((Ac)) = 2Dt, we find a relationship for the diffusion coefficient: 67 RnD = kbT or D= This is called the Stokes-Einstein equation, since Einstein was the first to find this when explaining Brownian motion. Considering this result, which of these statements is NOT true? Bigger objects diffuse slower than smaller objects through a fluid. o The diffusion coefficient of a particle moving through a fluid only depends on the properties of that fluid. O Particles diffuse more quickly through water than through corn syrup. o Particle diffusion is faster at higher temperatures. The following data represent the test scores of a math class.Make a frequency table using six classes.26 29 37 37 46 62 64 68 71 73 74 80 86 92 94 97 100