Make sure the answer is 100% correct. Then circle the answer in a circle.

Make Sure The Answer Is 100% Correct. Then Circle The Answer In A Circle.

Answers

Answer 1

Answer:
False
Any integers that the numbers 5, 10 , 15 but 20 can be used as a counter argument against the statement.

Step-by-step explanation:

The claim is that A⊆B which stands for that A is a SUBSET in B, or that B contains A.

The truth is that B⊆A since 5 has more possible outcomes than 20 in the number of integers.
So the list of all possible answers are r5, r10, and r15 where N⊆Z.

For example I choose r=3 and r15, 3(15)= 45. I can use the number 45 as a counter argument that the statement of A⊆B is false.


Related Questions

5 por ciento es un número entero

Answers

Los números enteros están constituidos por todos los números que no tienen cifras decimales, por lo que sería verdadero afirmar que 5% es un numero entero.

¿Qué son los números enteros?

Los números enteros son un conjunto de números que se caracterizan por no tener cifras decimales. En general, los números enteros incluyen los positivos, negativos y el cero.

De acuerdo con lo anterior, podemos inferir que es verdadero afirmar que el 5% es un numero entero debido a que no tiene cifras decimales y es un número positivo. Por otra parte, si fuera 5.2% u otro valor con cifras decimales sería falsa la respuesta.

Nota: Esta pregunta está incompleta debido a que tiene información faltante. Aquí está la información faltante:

De acuerdo a reglas sobre los números, se puede concluir que 5 por ciento si es un número entero.

Opciones

VerdaderoFalso

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Please help me !!!!!!!!

Answers

Answer: y = 40deg, x = 80deg

Step-by-step explanation:

1. Because we see that there are parallel lines in the triangle to the left, we know that two of the angles of that triangle are 50deg

2. using the fact that triangles have a total of 180deg we get x = 80deg

To solve for y, we also know that there are two angles in that triangle which are the same, and one of them is y, therefore 2y + 100deg = 180deg, meaning 7 = 40deg

What two numbers multiply to 5 and add to -10

Answers

Answer: 0.52786 and 9.47214

BRAINLIEST EASY PROBLEM!!!!!!!!!!! 7th grade) find x and y.

Answers

Answer:

x = 20

y = 20

Step-by-step explanation:

In the given triangle, we can deduce that angle x is congruent to angle y using the Isosceles Triangle Theorem. Hence, we can construct the equation xº = yº.

We also know that the measures of the interior angles of a triangle add to 180º. Hence, we can construct the equation xº + yº + 140º = 180º.

We now have a system of equations, and since we already have an identity for xº (and also for yº), we can solve the system using the substitution method.

xº + yº + 140º = 180º

↓ substituting xº for yº

xº + xº + 140º = 180º

↓ subtraction 140º from both sides

2xº = 40º

↓ dividing both sides by 2

xº = 20º

↓ removing degree sign from both sides

x = 20

Now that we have solved for x, we have also essentially solved for y, as plugging this x-value into the equation xº = yº will just yield:

20 = y

y = 20

Which unit of length would a microscope best help to see?

Answers

Answer:

The unit of length that a microscope best helps to see is 1 millimeter.

Step-by-step explanation:

Microscopes are instruments used for viewing objects that cannot be seen with eyes. The unit length of an object that a microscope can view should be a length that is very small

Solve this you won't.

Answers

The linear equation that is represented in the table is:

y = 3*x + 2

How to write the linear equation?

A general linear equation can be written in the form:

y = m*x + b

Where m is the slope and b is the y-intercept.

First, notice that on the table we can see the point (0, 2), then the y-intercept of the linaer function is b = 2

Then we can write:

y = m*x + 2

Now we can use any other point on the table to find the value of the slope m.

Using the second point (1, 5),replacing the values we will get:

5 = m*1 + 2

Solving for m, we will get:

5 = m + 2

5 - 2 = m

3 = m

Then the linear equation is:

y = 3*x + 2

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carly walks 20 ft./s at this rate how many minutes will take Carly to walk a mile if there are 5280 feet in 1 mile

Answers

Carly can walk 1 mile in 264 seconds.

What is Unit Rate?

Unit rate is the amount of one quantity for a unit amount of the other quantity.

In other words it compares 1 unit of some quantity with different amount of another quantity.

Unit rate of Carly is given.

Unit rate of an object in terms of distance covered and time taken is actually the speed of the object.

The formula for speed is,

Speed = Distance / Time

Speed = 20 feet per second

Distance = 1 mile = 5280 feet

Time taken be t.

20 = 5280 / t

t = 5280 / 20

t = 264 seconds

Hence it will take 264 seconds for Carly to walk a mile.

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what is the value of the exponential expression below?
36 1/2

Answers

For this case we have an exponential expression of the form:

We can rewrite the exponential expression using power properties.
We have then:

From here, we take the square root of 36.
We have then:

Answer:
The exponential function is given by:

2) For which values of S and T does the following equation have infinitely many solutions?
Sx+81-24x+ T
a) S=24 and T=81
b) S = -24 and T = -81.
(c) S = -24 and T=81
d) S=24 and T=-81

Answers

The evaluation of the equation in the question for the number of solutions is as follows;

2) The values of S and T for which the equation Sx + 81 = -24x + T have infinitely many solutions is S = 24 and T = -81

c. S = 24 and T = -81

What is an equation?

An equation is a statement of equivalence of two expressions.

The specified equation is presented as follows;

S·x + 81 = -24·x + T

The equation will have infinitely many solutions when both sides of the equation refer to the the sam line

The power of x on both sides of the equation is one, therefore, both expressions on the left and right side of the equation refer to linear relationships

The graph of two lines are the same if they have the same slope and the same y-intercept.

The slope of the expression on the left = S

The y-intercept of the expression on the left = 81

The slope of the expression on the right = -24

The y-intercept of the expression on the right = T

When both sides refer to the same line, we get;

S = -24, and T = 81

Therefore, both sides of the equation refers to the same line and therefore have infinitely many solutions when S = -24 and T = 81.

The correct option is option c

(c) S = -24 and T = 81

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What is one way a market economy affects the lives of private citizens?Citizens can change jobs relatively easily.Citizens cannot choose their own careers.Citizens do not have to pay for their housing.Citizens have little freedom and independence.

Answers

Citizens have the freedom and independence to choose their own career paths, as well as the ability to change jobs relatively easily if they desire.

Find the angle between a diagonal of a cube and one of its faces ?

Answers

Answer:

35.26°

Step-by-step explanation:

You have to visualize this or draw a diagram

If a cube has side a, the face diagonal of the cube is √2a . The diagonal of the cube is √3a

One side of length a, another side of length √2a (face diagonal) and the third of √3a form a right triangle with the angle opposite √3a being the 90° angle

Therefore we can find the angle [tex]\theta[/tex]  which the cube diagonal makes with the face diagonal using the fact
[tex]\dfrac{a}{\sqrt{2}a} = \tan\theta[/tex]

[tex]\theta = tan^{-1}\left(\dfrac{1}{\sqrt{2}\right)} \\= 35.26^\circ[/tex]

Find the value of $10,000 in 10 years. The investment earns 8% for four years and then earns 4% for the remaining six years

Answers

Answer: After investing for 10 years at 8% interest

Step-by-step explanation: your $10,000 investment will have grown to $21,589 This calculator determines the future value of $10k invested for 10 years at a constant yield of 8.00% compounded annually

if the speed of a boat in still water is 13 mph
A what is the speed going against a current with a rate of x mph ?
B what is it’s speed going with a current with a rate of x mph?

Answers

Answer:

A. The speed of the boat going against a current with a rate of x mph is (13 - x) mph.

B. The speed of the boat going with a current with a rate of x mph is (13 + x) mph.

Step-by-step explanation:

Reduce the answer to lowest terms 3/8÷ 1/7

Answers

Answer:

21/8

Step-by-step explanation:

When you are dividing fractions, use Keep-Change-Flip. See image.

Keep-Change-Flip changes the problem to a multiplication.

To multiply fractions, multiply straight across:

top × top and bottom×bottom see image.

We get 21/8 is already in lowest terms.

what is the greatest commen factor of 15 and 64

Answers

The greatest common factor between two numbers is the biggest number that multiplies into both of them.

Let's factor out 15.

15:1 × 15, 3 × 5.
Let's factor out 64.

64:1 × 64, 2 × 32, 4 x 16, 8 × 8.

Both numbers have 1, so the GCF of 15 and 64 is 1.

Thope this helps you, PM me if you need help understanding. :)

Answer: The greatest common factor for 15 and 64 is 1.

How do you use the distributive property to remove the parentheses. From 5(10+w)

Answers

1000

Step-by-step explanation:

5000

Xochitl went into a movie theater and bought 6 bags of popcorn and 4 drinks, costing a total of $65. Alonso went into the same movie theater and bought 9 bags of popcorn and 8 drinks, costing a total of $107.50. Determine the price of each bag of popcorn and the price of each drink.

Answers

The price of each bag of popcorn and the price of each drink is $7.5 and $4 respectively.

How to calculate the equation?

Let the drinks be represented as d.

Let the popcorn be represented as p.

From the information, Xochitl went into a movie theater and bought 6 bags of popcorn and 4 drinks, costing a total of $65. Thus will be:

6p + 4d = 65

Alonso went into the same movie theater and bought 9 bags of popcorn and 8 drinks, costing a total of $107.50. This will be:

9p + 8d = 107.50

Equating the equation

6p + 4d = 65 ..... i

9p + 8d = 107.50 ..... ii

Multiply equation i by 8

Multiply equation ii by 4

48p + 32d = 520

36p + 32d = 430

12p = 90

Divide

p = 90/12

= 7.5

6p + 4d = 65 .

6(7.5) + 4d = 65

4d = 65 - 45

4d = 20

d = 20/4

drink = 5

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Help me I need to finish this by tmr

Answers

third i think lolololololo
I agree I think is the third one

How much of a 14% ethanol fuel mixture should be mixed with 8 gal of 3% ethanol fuel mixture to get a mixture that is 12% ethanol?

(blank) gal of 14% ethanol solution is needed to produce a 12% ethanol solution.

Answers

Answer:

Step-by-step explanation:

A = x 14%=.14x

B=8 (4%)=.04(8)

  =8x   12%= .12*8x

.14x+.04(8)=.12(8x)

.14x+.32=96x-.14x

.32=.82x/x

.32/.82=.39

The amount of 14 % of ethanol that needs to mixed is A = 36 gallons

What is an Equation?

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 printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

14% ethanol fuel mixture should be mixed with 8 gal of 3% ethanol fuel mixture to get a mixture that is 12% ethanol

So , the equation is

A ( 14 % ) + ( 8 ) ( 3 % ) = ( A + 8 ) ( 12 % )

On simplifying , we get

14A + 24 = 12A + 96

Subtracting 12A on both sides , we get

2A + 24 = 96

Subtracting 24 on both sides , we get

2A = 72

Divide by 2 on both sides , we get

A = 36 gallons

Therefore , the value of A is 36 gallons

Hence , the equation is A = 36 gallons

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Help meeeee plssss I need to pass this by tmr

Answers

The statement  means "whenever x is close to (but not equal to) a, then f(x) is a large positive number.

How do you find the limit of x approaches 0?

When x is close to (but not equal to) a, then f(x) is a large positive number, according to the expression limxaf(x)=. In other words, f(x) grows larger and larger without bound as x approaches a.

For a rational function, we divide the numerator and denominator by the highest power of x that appears in the denominator to get the limits at infinity. This establishes which term in the overall expression controls how the function behaves at high x values.

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NO LINKS!!!!

1. A savings account starts with $720 and earns an annual rate of 4.8%. Write an equation and find the amount of money in the account for 12 years.

Equation:
Solution


2. Bacteria can multiply at an alarming rate when each bacteria splits into two new cells , thus doubling. If we start with only one bacteria, which can double, how many bacteria will we have be the end of 3 days?

Equation:
Solution:

Answers

Answer:

[tex]\textsf{1.\;\;Equation:\quad$A=720(1.048)^{t}$}[/tex]

    [tex]\textsf{Solution:\quad$\$1263.77$}[/tex]

[tex]\textsf{2.\;\;Equation:\quad$y=2^x$}[/tex]

    [tex]\textsf{Solution:\quad$8$}[/tex]

Step-by-step explanation:

Question 1

Assuming the account earns annual compound interest.

[tex]\boxed{\begin{minipage}{7 cm}\underline{Annual Compound Interest Formula}\\\\$ A=P\left(1+r\right)^{t}$\\\\where:\\\\ \phantom{ww}$\bullet$ $A =$ final amount \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}[/tex]

Given values:

P = $720r = 4.8% = 0.048

Substitute the given values or P and r into the annual compound interest formula to create an equation for the amount of money in the account after t years:

[tex]\implies A=720(1+0.048)^{t}[/tex]

[tex]\implies A=720(1.048)^{t}[/tex]

To find the amount of money in the account after 12 years, substitute t = 12 into the equation:

[tex]\implies A=720(1.75523549...)[/tex]

[tex]\implies A=1263.76955...[/tex]

[tex]\implies A=1263.77[/tex]

---------------------------------------------------------------------------------

Question 2

[tex]\boxed{\begin{minipage}{9 cm}\underline{General form of an Exponential Function}\\\\$y=ab^x$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the initial value ($y$-intercept). \\ \phantom{ww}$\bullet$ $b$ is the base (growth/decay factor) in decimal form.\\\end{minipage}}[/tex]

Given values:

a = 1  (initial number of bacteria)b = 2  (as the bacteria doubles)

Substitute the given values or a and b into the exponential function formula to create an equation for the number of bacteria after x days:

[tex]\implies y=1(2)^x[/tex]

[tex]\implies y=2^x[/tex]

To find the number of bacteria after 3 days, substitute x = 3 into the equation:

[tex]\implies y=2^3[/tex]

[tex]\implies y=8[/tex]

Ran ordered 3 large pizzas for a party. At the end of

Answers

Answer:

Step-by-step explanation: At the end of what? I need the rest of the question in order to help you.

At Dubble High School, 42% of the students play sports, 34% of the
students play a musical instrument, and 24% do both. What is the
probability that a randomly selected student at Dubble High School
plays a sport or a musical instrument?

Answers

Answer: 18.24%
Have a nice day!

Given the following system of equations, type the target variable matrix for y.

5x-y=6
2x+7y=9

Answers

The solution of the simultaneous equations using target matrix are; x = 51/37 and y = 33/37

How to use matrix to solve simultaneous equations?

The target variable is defined as the variable whose values are modeled and predicted by other variables.

We are given the simultaneous equations as;

5x - y = 6

2x + 7y = 9

In matrix form, it is expressed as;

5 -1 6

2 7 9

row 2 = row 2 + row 1 * 7

This gives us;

37   0   51

Thus;

x = 51/37

Plugging in 51/37 for x in eq 1 gives;

5(51/37) - y = 6

Multiply through by 37 to get;

5*51 - 37y = 37*6

255 - 37y = 222

-37y = 222 - 255

y = 33/37

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In the Introduction, we saw Janet and Patrick discussing their favorite season of the year. They asked random ninth and tenth grade students to answer the following questions: Are you in ninth grade or tenth grade? What is your favorite season of the year: spring, summer, winter, or fall? Janet and Patrick surveyed a total of 219 students. Out of the 137 ninth graders who were surveyed, 28 said summer was their favorite season, and 12 said that winter was their favorite. The results showed 22 tenth graders said that spring was their favorite season, and 8 tenth graders said winter was their favorite season. A total of 45 students said that summer was their favorite season, and a total of 74 students said that fall was their favorite season. In this activity, you will construct two-way frequency tables to help Janet and Patrick analyze the data they gathered from their survey.

Answers

A frequency table is a list of objects with the frequency of each item given in the table. The frequency table is attached below.

What is a frequency table?

The frequency of an occurrence or a value is the number of times it happens. A frequency table is a list of objects with the frequency of each item shown in the table.

The steps are lengthy to explain in words, but the process is fairly straightforward.  So Start with figure 1 in the diagram below. The letters A through O represent the steps you'll take to replace them. we'll replace A with 219 since that's the grand total.

Then B is replaced with 137 since we're given that 137 girls were surveyed. Then C gets replaced with 219-137 = 82, and so on.

Using arithmetic (adding and subtracting) to gradually replace each letter with the proper number as figure 2 shows.

The alphabetical order directly corresponds to the order in which the values are given by teacher.

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What shape results from a plane passing through a cone that is perpendicular to the base?

Isosceles Triangle
Circle
Parabola
Ellipse

Answers

The shape that results from a plane passing through a cone that is perpendicular to the base is option B: Circle.

What is the Circle about?

When a plane passes through a cone perpendicular to the base, it intersects the cone at a circle. This is because the plane is cutting the cone at a 90-degree angle to the base, and so it is cutting through the circular cross-section of the cone.

Therefore, If the plane were to be tilted or angled, the shape of the intersection would be an ellipse, which is a flattened circle. This is because an ellipse is the shape that results when a plane intersects a cone at an angle that is not perpendicular to the base.

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HELP PLSSSSSSS GOD BLESS ILL GIVE BRAINLIEST

Jackson digs a hole at a rate of 3/5 feet every 10 minutes. After digging for 40 minutes, Jackson places a plant in the hole that fills exactly 9/10 feet of the hole. Relative to ground level, what is the elevation of the hole after placing the plant in the hole? Enter your answer as a mixed number in simplest form by filling in the boxes.

Answers

Answer:

[tex]2 \, \dfrac{4}{25} \textrm{ ft}[/tex]

Step-by-step explanation:

First, solve for how many feet Jason has dug after 40 minutes:

[tex]\dfrac{\dfrac{3}{5} \textrm{ ft}}{10 \textrm{ min}} \times 40 \, \textrm{min} = 2 \dfrac{2}{5} \, \textrm{ft}[/tex]

So, the hole he has dug is 2 2/5 ft deep.

Next, we can solve for how deep the hole will be after placing a plant in by simply multiplying 9/10 by the depth of the hole dug.

[tex]2\, \dfrac{2}{5} \times \dfrac{9}{10} = \dfrac{12}{5} \times \dfrac{9}{10} = \dfrac{6 \times 9}{5 \times 5} = \dfrac{54}{25} = 2 \, \dfrac{4}{25} \textrm{ ft}[/tex]

1. 14 m find the area of each circle

Answers

What circle please need to know

Find the mode for the Following sets of numbers 83,97,85,84,96,80,87,91,80

Answers

Answer:

80

Step-by-step explanation:

80,80,83,84,85,87,91,96,97

in this numbers there is one mode which is 80 . it is mono.

JTHF monitors offices for tax preparation fee averages, and considers averages greater than $625.00 to be excessive. Offices that consistently charge excessive fees may be subject to which of the following corrective actions? Select one: a. The office will immediately be terminated from the Program. b. The office will be fee capped, which will result in all Financial Product Applications with fees greater than $625.00 to be rejected. c. The office will be fee capped from charging any tax preparation fees. d. None of the above – the office can charge whatever tax preparation fees it wants. Incorrect

Answers

The corrective action that offices that consistently charged excessive fees would be subject to by JTFH is a. The office will immediately be terminated from the Program.

What is JTFH ?

JTH Financial, LLC (JTHF)  is a company that was formed in 2010 in Virginia and their goal and mode of operation is to help customers with tax settlement products that can help them get the best amount to pay for taxes.

JTH Financial, LLC has affiliate offices that engage in tax preparation for clients around the United States but they monitor these offices to ensure that their tax preparation fee averages is not excessive. If an office consistently has excessive fees charged to its customers, then JTH Financial terminates them from the program to protect its customers.

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In an IS-LM model with fixed exchange rates and perfect capital mobility, a cut in government spending shifts the IS-curve to the leftSelect one:a. but then the central bank is forced to restrict the money supply, so the LM-curve also shifts to the leftb. but then back to the right again because of the resulting increase in net exportsc. but then the central bank is forced to expand money supply, so the LM-curve shifts to the rightd. without affecting the LM-curvee. but then a capital inflow from abroad results, forcing the government to reverse its policy being clear about your objectives and ensuring they are realistic and attainable. a) make reasonable and specific requests. b) recognize the power of loss. c) expect and overcome resistance. d) tie facts to benefits. you need to prepare 100 ml of solution a for your experiment. according to the lab recipe book, the composition of solution a is: 0.4 m cacl2 1.0 m mgso4 McDonalds is a stock that pays dividends. Suppose the current price of McDonalds is $30 and the risk-free rate for all maturities is 10% with continuous compounding. McDonalds will pay a dividend of $2 at the end of the first year and also at the end of the second year. It will NOT pay a dividend at the end of the third year. What is the three-year forward price for McDonalds? Given that insurance companies aim to offset risk by setting premiums high enough to cover the losses of the highest-risk members, how would you expect this to affect low-risk insurance buyers? a. They may be discouraged from buying insurance at all. b. They will not be affected since they have no information about the risk levels of other insurance buyers c. If they buy insurance, they will pay a greater amount in premiums than what they get back in payouts. d. They will be rewarded for being low-risk by receiving a discount on what they're asked to pay for coverage Given: Two identical rubber pads (having h x b rectangular cross sections) transmit a load P applied to a rigid plate to a fixed support. The shear modulus of the rubber material making up the pads is G. Find: For this problem: a) Determine the average shear stress on the pads on the top/bottom surfaces of the pad resulting from the applied load P. b) Determine the average shear strain in the rubber material. For this problem, use the following parameters: G=0.3 MPa, b = 60 mm, h= 30 mm, t= 150 mm and P = 500 N. 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In a LASIK vision correction, the power of a patient's eye is increased by 2.65 D. Assuming this produces normal close vision, what was the patient's near point in m before the procedure? (The power for normal close vision is 54.0 D, and the lens-to-retina distance is 2.00 cm.) Carter Company is considering three investment opportunities with the following payback periods: Project A Project B Project C Payback period 2.7 years 6.4 years 3.8 years Use the decision rule for payback to rank the projects from most desirable to least desirable, all else being equal. 1 most desriable and 3least desirable.) Prolect Rank Project A Project B Project C One side of a triangle is 4 units longer than a second side. The ray bisecting the angle formed by these sides divides the opposite side into segments that are 6 units and 7 units long. Find the perimeter of the triangle. Give your answer as a reduced fraction or exact decimal. Perimeter =Show your work: Nitrogen from protein is eliminated as what compound in animals? A) ammonia B) urea C) pyrimidine D) both ammonia and urea E) both urea and pyrimidine. What do we use as our money? What is it that we use on a daily basis to buy and sell things? Consecutive numbers follow one right after the other. An example of three consecutive numbers is 17,18,and 19. Another example is -100,-99,-98. How many sets of two or more consecutive positive integers can be added to obtain a sum of 100? The rate of CongWin size increase (in terms of MSS) while in TCP's Congestion Avoidance phase is ______. Galileo's Telescope Galileo's first telescope used a convex objective lens with a focal length f=1.7m and a concave eyepiece, as shown in the figure. (Figure 1)When this telescope is focused on an infinitely distant object, and produces an infinitely distant image, its angular magnification is +3.0.A. What is the focal length of the eyepiece? in cmb.How far apart are the two lenses? in mExpress your answer using two significant figures. john moved his office from a building he was renting downtown to the carriage house he owns behind his house. how will his profit change?a. explicit and implicit costs rise b. explicit and implicit costs fall c. explicit costs rise; implicit costs fall d. explicit costs fall; implicit costs rise e. not enough information is given EXERCISE 9.3.4: Paths that are also circuits or cycles. (a) Is it possible for a path to also be a circuit? Explain your reasoning. Solution (b) Is it possible for a path to also be a cycle? Explain your reasoning. EXERCISE 9.3.5: Longest walks, paths, circuits, and cycles. (a) What is the longest possible walk in a graph with n vertices? Solution A There is no longest walk assuming that there is at least one edge in the graph. If {v, w} is an edge, then a sequence that alternates between vertex v and vertex w an arbitrary number of times, starting with vertex v and ending with vertex w, is a walk in the graph. There is no bound on the number of edges in the walk. (b) What is the longest possible path in a graph with n vertices? Solution A A path is a walk with no repeated vertices. The number of vertices that appear in a walk is at most n, the number of vertices in the graph. A walk with at most n vertices has at most n-1 edges. Therefore, the length of a path can be no longer than n - 1. Consider the graph Cn with the vertices numbered from 1 through n around the graph. The sequence (1, 2, ..., n-1, n) is a path of length n - 1 in Cn. Therefore, it is possible to have a path of length n-1 in a graph. What is the longest possible cycle in a graph with n vertices? Feedback? Takes 1 hour and 21 minutes for a 2. 00 mg sample of radium-230 to decay to 0. 25 mg. What is the half-life of radium-230?