The mass of a radioactive substance follows a continuous exponential decay model, with the decay rate parameter 4% per day. A sample of this radioactive substance has an initial mass of 2.05 kg. Find the mass of the sample after four days. Round your answer to two decimal places.

Answers

Answer 1

The mass of the sample after 4 days is 1.54 kg.

What is exponential decay?

Exponential decay can be defined as the process in which a quantity decreases over time with the rate of decrease becoming proportionally smaller as the quantity gets smaller.

The formula for exponential decay is given by:

m(t) = m0 * e^(-kt)

where m(t) is the mass of the substance after time t

M0 is the initial mass

k is the decay rate parameter

E is the base of natural logarithms

Plugging in the values:

m(4) = 2.05 * e^(-0.04 * 4)

m(4) = 1.54 kg

Therefore, The mass of the sample after 4 days is 1.54 kg.

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Related Questions

Seth purchased a shiny key chain costing $0.34. If Seth received $0.69 in change, how much money did he give to the cashier?

Answers

Answer:

$1.03

Step-by-step explanation:

If Seth purchased a shiny key chain costing $0.34 and received $0.69 in change, then he gave the cashier $0.34 + $0.69 = $1.03.

Answer:

x - 0.69 = 0.34

x = 1.03

Therefore, Seth gave the cashier $1.03.


2) Amy ran a total of 23 miles. She ran 7 miles on Monday, 5 ½ on Tuesday, 10% on
Wednesday, 5 1/4 on Thursday and x miles on Friday. How much did she run on Friday?

Answers

Answer:

2.95

Step-by-step explanation:

23 - 7 = 16

16 - 5.5 (1/2 = .50)= 10.5

10.5 - 2.30 (23 becomes 2.30 in 10%) = 8.20

8.20 - 5.25 = 2.95

2.95 miles ran on Friday

Me podrían dar una explicación sobre Renacimiento de la estadística

Answers

Some methods of statistical analysis include:

mean, standard deviation, regression, hypothesis testing,  sample size determination
What is the Renaissance of Statistics?

The word "renaissance" simply means the rebirth of a thing or something and in this case, it would seem to mean the rebirth of statistics to include better ways and methods of data gathering, collection and analysis.

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean and this is one of the more "modern" ways of data gathering in statistics as these methods have come a long way from older methods of gathering data such as human statistics and census methods.

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The English translation is:

Could you give me an explanation about the Renaissance of Statistics?

1 whole number 1/16 to decimal 50 points pls full solution heres pic i have done it but i am not sure​

Answers

Answer:

Below

Step-by-step explanation:

17/16   is  just    17 ÷ 16    use calculator to fin = 1.0625

Answer:

1.06

Step-by-step explanation:

Step 1: divide numerator (1) by the denominator (16):

1 ÷ 16 = 0.0625

Step 2: add this value to the the integer part:

1 + 0.0625 = 1.0625. So,

1 1/16 = 1.0625

answer thissss plsss i need help

Answers

Answer:

x ≤ 217

Step-by-step explanation:

The mean is found by adding each time and dividing by the amount of attempts.

If the mean has to be no greater than 200s and there are five attempts, than the total five attempts should total to no more than 200*5=1000s

The total sum of the first four attempts is 192+206+194+191=783

x must be equal to or less than 1000 - 783 = 217

Pls send only answers - no work

Answers

Answer:

No

Step-by-step explanation:

If you are just seeking answers, you are basically cheating and trying to get someone to do your work...which will not help you learn the material ....sad.

1/
3
of my bananas are yellow and ! green. The rest are pink. What fraction are pink?

Answers

Answer:

Pink bananas? Weird, but cool.

Anyways, the answer would be 2/3.

This is correct because:

1/3 + 2/3 = 3/3 = 1 whole

Step-by-step explanation:

Hope it helps! =D

1/3 : Yellow and green
1/3-3: 2/3 pink

What congruence statement is correct for the congruent triangles shown?
A) ABC=ADC
B) ACB=CDA
C) ABC=CDA
D) ACB= ACD
E) BCA= DCA

Answers

The statement that is correct for the congruent triangles shown above are ABC=CDA. That is option C.

What is congruent triangles?

The congruent triangles are those two triangles that have all it's edges and angles equal in size.

There are two different types of triangle which include the following:

Triangle ABC andTriangle ADC.

The sides and angles that are equal include the following;

< A = < C

< D = < B

Therefore the statement that shows that the two given triangles are equal = ABC=CDA.

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Amber sends a text message to 4 people and those 4 people send the text message to 4 more people, and so on. Write an expression to show the number of people who will receive the text message after the fifth round.

Answers

An expression to show the number of people who will receive the text message after the fifth round is, 4 x 4⁵

What is geometric progression?

In algebra, in sequence we study various progressions, one of the progression is geometric, in this progression for every two consecutive terms, the common ratio is the same.

Formula for nth term of G.P.,

Tₙ = a×rⁿ

where a is first term and r is common ratio

Given that,

Amber sends a text message to 4 people

Those 4 people send the text message to 4 more people, and so on

An expression to show the number of people who will receive the text message after the fifth round = ?

This process will follow a geometric progression,

Which have common ratio  = 4

First term a = 4

Fifth term =  ?

Here, n = 5

Tₙ = a × rⁿ

   =  4 x 4⁵

   =   4096

Hence, the expression is 4 x 4⁵

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TECHNOLOGY Pew Research Center released a survey that asked whether participants thought technological advancements in the future will make people’s lives better or worse. Of the people interviewed, 423 earned less than $50,000 per year and 328 earned $50,000 or more. Of those earning less than $50,000 per year, 262 thought that people’s lives would get better, and 240 of those who earned $50,000 or more thought the same. Organize the data in a two-way frequency table.

Answers

Answer:

With technology and digital communication, it's

becoming easier to communicate because people

do not have to do that initial face-to-face reaction

when they are behind a keyboard. This can be a

good or a bad thing depending on how one

chooses to communicate.

Answer:

[tex]\begin{array}{|l|c|c|c|}\cline{1-4}\vphantom{\dfrac12}&\text{Less than \$50,000}&\text{\$50,000 or more}&\text{Total}\\\cline{1-4}\vphantom{\dfrac12}\text{Lives get better}&262&240&502\\\cline{1-4}\vphantom{\dfrac12}\text{Lives don't get better}&161&88&249\\\cline{1-4}\vphantom{\dfrac12}\text{Total}&423&328&751\\\cline{1-4}\end{array}[/tex]

Step-by-step explanation:

From the given information, the two options of the "annual salary" category are:

Less than $50,000 per year.$50,000 or more per year.

From the given information, the two options of the "opinions" category are:

People's lives would get better.People's lives would not get better.

To create a two-way frequency table to visually represent the possible relationships between the two sets of categorical data:

Create a 4x4 table.Label the top row of the table with one category and the left side of the table with the other category. Label the right column "Total" and the bottom row "Total".

[tex]\begin{array}{|l|c|c|c|}\cline{1-4}\vphantom{\dfrac12}&\text{Less than \$50,000}&\text{\$50,000 or more}&\text{Total}\\\cline{1-4}\vphantom{\dfrac12}\text{Lives get better}&&&\\\cline{1-4}\vphantom{\dfrac12}\text{Lives don't get better}&&&\\\cline{1-4}\vphantom{\dfrac12}\text{Total}&&&\\\cline{1-4}\end{array}[/tex]

Add the given information to the table:

[tex]\begin{array}{|l|c|c|c|}\cline{1-4}\vphantom{\dfrac12}&\text{Less than \$50,000}&\text{\$50,000 or more}&\text{Total}\\\cline{1-4}\vphantom{\dfrac12}\text{Lives get better}&262&240&\\\cline{1-4}\vphantom{\dfrac12}\text{Lives don't get better}&&&\\\cline{1-4}\vphantom{\dfrac12}\text{Total}&423&328&\\\cline{1-4}\end{array}[/tex]

From the table, we can see that of the 423 of people that earned less than $50,000 per year, 262 thought that people's live would get better.

To calculate the number of people that earned less than $50,000 per year that thought people's lives would not get better, subtract 262 from 423 and place this number in the cell in column 2, row 3.

Continue like this to fill out the rest of the table, remembering to calculate the column and row totals:

[tex]\begin{array}{|l|c|c|c|}\cline{1-4}\vphantom{\dfrac12}&\text{Less than \$50,000}&\text{\$50,000 or more}&\text{Total}\\\cline{1-4}\vphantom{\dfrac12}\text{Lives get better}&262&240&502\\\cline{1-4}\vphantom{\dfrac12}\text{Lives don't get better}&161&88&249\\\cline{1-4}\vphantom{\dfrac12}\text{Total}&423&328&751\\\cline{1-4}\end{array}[/tex]

If your original biconditional statement is true, would the contrapositive be true? Give an example to illustrate your reasoning. '

Answers

If your original biconditional statement is true, would the contrapositive be true

What is Biconditional statement ?

Biconditional statement can be defined as if in both cases they are equal than they are true otherwise false.

Yes,

If your original biconditional statement is true, would the contrapositive be true

Let us suppose,

P ⇔ Q

Suppose P = true and Q = true

So, P ⇔ Q  is true

and ~P = false and ~Q  = false

¬Q ⇔ ¬P is also true
Therefore, If your original biconditional statement is true, would the contrapositive be true

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In art class, Jake is copying a detail from a painting. He pants slowly for the first few days, but
manages to increase his rate after that. The graph shows his
progress after he increased his rate.

Answers

Answer:

Jake will finish in 990 days

What is the slope-intercept form of this equation?


8x + 6y = 12

please help

Answers

Answer:

The slope-intercept form is y= 4/3 x + 2

P=W (1+a)/1-a Make a the subject ​

Answers

The variable a as the subject is a = (P -W)/(W + P)

How to make a the subject of the formula

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

P=W (1+a)/(1-a)

Cross multiply the equation

So, we have the following representation

P - Pa = W + Wa

Collect the like terms

This gives

Wa + Pa = P - W

So, we have

a(W + P) = P - W

Divide

a = (P -W)/(W + P)

Hence, the solution is a = (P -W)/(W + P)

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Which function is the inverse of f()= 4x2?​

Answers

The inverse of the function is g(x) = √[(x + 3)/4]

How to determine the inverse of the functipn

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

f(x) = 4x^2 - 3

Rewrite the function as

y = 4x^2 - 3

Swap the variables

x = 4y^2 - 3

Make y the subject

So, we have the following representation

y = √[(x + 3)/4]

Rewrite as

g(x) = √[(x + 3)/4]

Hence, the inverse is g(x) = √[(x + 3)/4]

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Work out the following sheet

Answers

Answer: MNO is  an isosceles triangle

Step-by-step explanation:

the right hand corner is 80 degrees and the left one is 45 degrees, you work this out by knowing a straight line is 180 degrees, 180-110 is 70. 55+70=125 and then 180-125 is 55.

not sure how to solve the second question so maybe repost it, hope i helped :D

6-29. Graph each of the following inequalities on a number line. 6-29 HW eTool (CPM). Homework
Help
a. x > 3
b. x ≤5
c. x ≥-4
VAVIN

Answers

The inequalities contain greater than, less than or equal, and greater than or equal. The inequalities are attached below.

What is a closed circle?

For numbers that are either less than or greater than (< or >), open circles are used. For numbers that are less than or equal to and greater than or equal to (≤ or ≥), closed circles are used.

A number line can be used to display inequality.

Given inequalities are

x > 3

x ≤5

x ≥-4

The inequity x > 3 contains a greater than symbol. Thus there will be an open circle at 3. x is greater than 3, so the arrow from the circle must show the numbers that are larger than 3.

The inequity x ≤5 contains a less than or equal symbol. Thus there will be a close circle at 5. x is less than or equal to 5, so the arrow from the circle must show the numbers that are less than 5.

The inequity x ≥-4  contains a greater than or equal symbol. Thus there will be a close circle at -4. x is greater than or equal to -4, so the arrow from the circle must show the numbers that are greater than -4.

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A woman bought a for ​$500 and then sold it for ​$900. She bought it back for ​$700and then sold it again for ​$600. How much did she gain or lose on these​ transactions?

Answers

She gained $300
-500+900-700+600
=300

Answer: she lost 500 ,gained 900 ,lost 700, gained 600

Step-by-step explanation:

Story Problem 62: A delivery driver had to make 9 stops on his route. He dropped off the same number of boxes at each stop. If he dropped off a total of 49 large boxes and 59 small boxes, how many boxes did he drop off at each stop?

Answers

There are 9 stops altogether, and a total of 5 large boxes and 6 little boxes are delivered to each one.

what is unitary method ?

The unit tactic is a method for addressing dilemmas that entails first figuring out the price of a single unit, then increasing that value to figure out the needed value. Simplest terms, the unit method is used to derive a single unit value out of a multiple that is supplied. For example, 40 pens may cost 400 dollars, which is equal to the cost of one pen. This procedure could follow a regular procedure. a single nation. anything has a distinct identity. Its l'hopital and reciprocal are equal in terms of mathematics, algebra, abstract algebra, mathematical analysis, or mathematics of vectors or operators.

given

total number of stops = 9

total number of large boxes = 49

A total of 59 tiny boxes

every stop has the same number of boxes:

There are the same number of boxes at each station

for large boxes (49/9) = 5

small boxes (59/9) = 6

There are 9 stops altogether, and a total of 5 large boxes and 6 little boxes are delivered to each one.

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A change in tempo is the only thing that can make a musical cliché more effective.
A. False, a change in dynamics is the only thing that can make a musical cliché more effective.
B. True
C. False, using changes in tempo and dynamics can make a musical cliché more effective.
D. False, a change in tempo cannot make a musical cliché more effective.

Answers

The statement - A change in tempo is the only thing that can make a musical cliché more effective is

C. False, using changes in tempo and dynamics can make a musical cliché more effective.

What is a musical cliché?

A musical cliché refers to a commonly used and overused musical idea. To make a musical cliché more effective, changes in both tempo and dynamics can be used.

Tempo refers to the speed of the music, while dynamics refer to the volume or loudness of the music. By changing both of these elements, a composer or performer can add variety, interest, and impact to a musical cliché and make it more effective.

However, this may not always be the case, as the effectiveness of a musical cliché also depends on the context and the artistic intention of the composer or performer.

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If elephant grass grows 3 1/2 inches a day, how many inches will it grow in 8 days?

Answers

Answer:

28 inches in 8 days.

Step-by-step explanation:

1. Multiply 3.5 inches by 8 days to calculate the total inches:

2. 3.5 inches x 8 days = 28 inches

Therefore, elephant grass will grow 28 inches in 8 days.

Anyone knows how to do this

Answers

well, in 2005 there were 55000 folks, and then 3 years later it was 61600, since we know the increment is linear, then we can just call year 2005 year 0 and use a table for that

[tex]\begin{array}{ccll} \stackrel{x}{year}&\stackrel{y}{population}\\ \cline{1-2} 0&55000\\ 3&61600 \end{array}\hspace{5em} (\stackrel{x_1}{0}~,~\stackrel{y_1}{55000})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{61600}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{61600}-\stackrel{y1}{55000}}}{\underset{\textit{\large run}} {\underset{x_2}{3}-\underset{x_1}{0}}} \implies \cfrac{ 6600 }{ 3 } \implies 2200[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{55000}=\stackrel{m}{ 2200}(x-\stackrel{x_1}{0}) \\\\\\ y-55000=2200x\implies {\Large \begin{array}{llll} y=2200x+55000 \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{in 2010 from 2005 that's 5 years later, x = 5}}{y = 2200(5)+55000}\implies {\Large \begin{array}{llll} y=66000 \end{array}}[/tex]

y less than two thirds times x plus 2 (0, 3) (−3, 1) (3, 5) (1, 2)

Answers

As per the given statement, the inequality will be equal to y<2/3x+2.

What is an inequality?

Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare the two values. Less than (or less than and equal to), larger than (or greater or equal to), or not similar to signs are used in place of the equal sign in between.

here, we have,

As per the data provided in the question,

The statement is,

y is less than 2/3 times of x, that is = y<(2/3)x and,

then it is plus two is added to the equation,

y<(2/3)x+2

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There are 10 brown, 10 black, 10 green, and 10 gold marbles in bag. A student pulled a marble, recorded the color, and placed the marble back in the bag. The table below lists the frequency of each color pulled during the experiment after 40 trials..


Outcome Frequency
Brown 13
Black 9
Green 7
Gold 11


Compare the theoretical probability and experimental probability of pulling a brown marble from the bag.
The theoretical probability, P(brown), is 50%, and the experimental probability is 25%.
The theoretical probability, P(brown), is 50%, and the experimental probability is 22.5%.
The theoretical probability, P(brown), is 25%, and the experimental probability is 13.0%.
The theoretical probability, P(brown), is 25%, and the experimental probability is 32.5%.

Answers

Answer: P(brown), is 25% he experimental probability is 32.5%.

Step-by-step explanation:

The theoretical probability, P(brown), is 25%, and the experimental probability is 32.5%.

NEED HELP ASAP don’t know exactly ow to do it keep getting the wrong answer

Answers

Answer:oh ez it is D=11 Dx=26 x=16 and y = 35

Step-by-step explanation:

I know the answers because I had the same problems lol

In the figure, / Ilm. Find the measure of
each angle. Each problem is different.
35) If m27=100°, then m/3 =
36) If m27=175°, then m26=_
37) If m27 = 120°, then m25 =
38) If m/4=20°, then m27 =
39) If m/3=140°, then m28 =
40) If m/4= 30°, then m4=
41) If m24 = 40°, then m2 =
42) If m27=125°, then m/4=

Answers

In the above angle measurement problem,

35) If m∠7=100°, then m∠3 = 100° (Alternative Angles)

36) If m∠7=175°, then m∠6= 5° (Co-interior Angles)

37) If m∠7 = 120°, then m∠5 = 120° (Corresponding Angles)

38) If m∠4=20°, then m∠7 = 160° (Angles on a straight line and Corresponding Angles)

39) If m∠3=140°, then m∠8 = 40° (m∠3 = m∠1 Corresponding angles; ∠1+ ∠8 = 180° - Angles on a straight line)

40) If m∠4= 30°, then m∠1 = 150° (Corresponding Angles)

41) If m∠4 = 40°, then m∠2 = 40° (Corresponding Angles)

42) Ifm∠7=125°, then m∠4= 55°  (∠4=∠2; Corresponding angles: 180° - ∠7 = 55° - Angles on a Straight Line)

What is a Corresponding Angle?

When two parallel lines meet any other line, comparable angles are generated in matching corners or corresponding corners with the transversal.

Congruence and likeness tests in geometry require comparing matching sides and angles of polygons.  Each side and angle in one polygon is matched with a side or angle in the second polygon, with the order of adjacency preserved.

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An investment portfolio is shown below.


Investment Amount Invested ROR
Money Market Account $3,200 2.1%
Government Bond $1,750 4.4%
Preferred Stock $1,235 −7.8%
Common Stock $2,300 10.5%


Using technology, calculate the difference between the arithmetic average ROR and the weighted average ROR. Round to the nearest tenth of a percent.
0.5%
1.1%
2.3%
3.5%

Answers

Using technology,  the difference between the arithmetic average ROR and the weighted average ROR is 0.52%

What is arithmetic mean?

The Arithmetic Mean will be called the Simple Arithmetic Mean when it is calculated as the quotient between the sum of all the different related values ​​and the number of observations involved in this sum.

Given An investment portfolio

Since arithmetic average ROR:

The average arithmetic average ROR is the sum of the rate of returns divided by the number of investments arithmetic average:

ROR = (2.1%+ 4.4%+ 7.8% + 0.5%)/4

arithmetic average ROR=6.20%

total amount invested=$3200+$1750+$1235+$2,300

total amount invested=$8,485

weighted average:

ROR = (3200/8485 * 2.1%+ 1750/8485 * 4.4%+ 1235/8485 *7.8% + 2300/8485 *0.5%)

weighted average:

ROR=5.68%

difference=6.20%-5.68%

difference=0.52%

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Answer: it’s 1.1%

Step-by-step explanation: just got it right on the test

Use the number line to show 2/3 divided by 1/12

Answers

The result of 2/3 divided by 1/12 is equal to 8.

What is a number line?

A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.

To find the result of 2/3 divided by 1/12, we can use the following equation:

= 2/3 ÷ 1/12 = (2/3) × (12/1)
= 8

Since the multiplication of two numbers is equivalent to the division of their reciprocals, we can use the number line to represent the division as multiplication:

2/3 is located between 1/2 and 1 on the number line, and 1/12 is located between 0 and 1/10. Multiplying 2/3 by 12/1 is the same as moving 12 units to the right on the number line, which is equivalent to moving from 2/3 to 8.

So, the result of 2/3 divided by 1/12 is equal to 8.

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Solve 9=2x^2+3x in quadratic equation

Answers

Answer: x=-3 & x=3/2

Step-by-step explanation:

1. Simplify the expression

- Divide both sides by the same factor

9=2x^2+3x

2x^2 + 3x - 9 = 0

2. Use the quadratic formula

- Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

2x^2 + 3x - 9 = 0

a = 2

b = 3

c = -9

x = √-3±3^2−4⋅2(−9)/2⋅2

3. Simplify, again.

- Evaluate the exponent

- Multiply the numbers

- Add the numbers

- Evaluate the square root

x=−3±9/4

4. Separate the equations

- To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.

x=−3+9/4

x=-3-9/4

5. Solve

- Rearrange and isolate the variable to find each solution.

x=3/2

x=-3

i NEED AN ANSWER NOOOOW

Answers

the slope is

y=5x

so 5x will be your slope
Other Questions
the difference between humans and other animals may be easily list referred to as the big six. t or f What does Confucius believe will happen if people are ruled by despots? A sample of trifluoroacetic acid, C2HF3O2, contains 47.3 g of oxygen. Calculate the mass of the trifluoroacetic acid sample. the weak form of the efficient market hypothesis implies that: you would like your database to automatically update when you update your spreadsheet you should ? what is the main difference between stimulation and education?a. education must occur before stimulation can take place b. in education children see their involvement in the stimulation which doesn't necessarily occur in stimulationc. the process of education requires someone with a related degree but stimulation can be performed by most people d. stimulation is related to infants and toddlers while education is related to school age children You buy 1 box of dog food and 2 cans of cat food for $23. Your friend buys 2 boxes of dog food and 1 can of cat food for $22. What is the cost of each box of dog food? of each can of cat food? Please answer this ASAP A student ran the following reaction in the laboratory at 527 K:COCl2(g) CO(g) + Cl2(g)When she introduced 1. 60 moles of COCl2(g) into a 1. 00 liter container, she found the equilibrium concentration of COCl2(g) to be 1. 57 M. Calculate the equilibrium constant, Kc, she obtained for this reaction. Kc = If the current interest rate increases, what will happen to the interest rate and price of previously issued bonds?Interest Rate; Pricea)Interest rate decrease; price decreaseb)Interest rate decrease; price increasec)Interest rate increase; price increased)Interest rate increase; price decreasee)Interest rate constant; price decrease 8 5/12 - 6 3/4 (be sure to simplify if necessary) The lateral height of a cone is 8 inches and the area of the base of the cone is 49 in. It requires 2.5 minutes to paint the cone.The area of the base is doubled.How long will it take to paint this cone if it can be painted at the same rate? Use 3.14.Enter your answer, rounded to the nearest tenth, in the box. Jenny Smith, age 57, is single. Jenny earned wages of $52,000 and was enrolled the entire year in a high deductible health plan (HDHP) with self-only coverage. During the year, Jenny contributed $2,000 to her Health Savings Account (HSA) and her mother also contributed $1,000 to Jenny's HSA account. Jenny's Form W-2 shows $650 in Box 12 with code W. She has Form 5498-SA showing $3,650 in Box 2. Jenny took a distribution from her HSA to pay her unreimbursed expenses: 1/ 8 visits to a physical therapist after her knee surgery $400 2/ unreimbursed doctor bills for $900 3/ prescription medicine $200 4/ replacement of a crown $1,500 5/ over the counter medication $40 6/ gym membership $240 7/ Jenny is a U.S. citizen with a valid Social Security number. 8. The gym membership is a qualified medical expense for HSA purposes. what issues are the rebels fighting against the government for? what does it mean for sudan to become muslim? approximately what percent of u.s. businesses have some form of remote work program? group of answer choices What is the displacement of a cyclist who travels 2 miles north, 2 miles east, and finally 2 miles south? What is the meaning of the word horticulture in this sentence?-a. the art or practice of garden cultivation and managementb. the cultivation of fish or other marine life for foodc.the raising and care of bees for commercial or agricultural purposesd.the cultivation of grapevines for winemaking Air flow isentropically through a supersonic convergent divergent nozzle with 0. 5 kg/s. At the inlet, the pressure is 680 kPa and the temperature is 295 K, and the area is 6. 5 cm2. If the exit area is 13 cm2 calculate: (1 point) a- The stagnation pressure and temperature. B- The exit Mach number. C- The exit pressure and temperature. D- The area and velocity at the throat. E- What will be the corresponding exit Mach number if the flow completely subsonic in the nozzle What was the significance of Gitlow v. New York? Which three best practices can help a project manager approach change management on their project? Mobilize active and visible executive sponsorship.Apply a structured change management approach.Communicate frequently and openly.Engage with front-line employees. true or false. Catherine betrays her true self for economic andsocial gain when she marries Edgar to gain social status despite her love for Heathcliff.