Mathematics High School

A line passes through (-7, -5) and (-5, 4). a. Write an equation gor the line in point-slope form. b. Rewrite the equation in standard form using integers.
A. Y-5=9/2(x+7);-9x+2u=-53
B. Y+5=9/2(x-7);-9x+2y=53
C. Y+5=9/2(x+7);-9x+2y=53
D. Y+7=9/2(x+5);-9x+2y=31

Answers

Answer 1
[tex]\bf \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~ -7 &,& -5~) % (c,d) &&(~ -5 &,& 4~) \end{array} \\\\\\ % slope = m slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{4-(-5)}{-5-(-7)}\implies \cfrac{4+5}{-5+7}\implies \cfrac{9}{2}[/tex]

[tex]\bf \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-5)=\cfrac{9}{2}[x-(-7)] \\\\\\ \boxed{y+5=\cfrac{9}{2}(x+7)}\implies y+5=\cfrac{9}{2}x+\cfrac{63}{2}\impliedby \begin{array}{llll} \textit{and now we multiply}\\ \textit{both sides by }\stackrel{LCD}{2} \end{array} \\\\\\ 2y+10=9x+63\implies \boxed{\stackrel{\textit{standard form}}{-9x+2y=53}}[/tex]

just a quick note, multiplying both sides by the LCD, whatever it may be, simply gets rid of the denominators.

Related Questions

write the equations for the basic absolute value equation y=|x-h|+k under the given transformations:

1. shift 1 unit to the right and up 2 units

2. shift 3 units to the left and 7 units down

3. vertical shrink by a factor of 1/3

4. vertical stretch by a factor of 3

Answers

Left & Right affect the h,
Up & Down affect the k,
Shrink & Stretch affect the "a" (which is in front of the absolute value expression).

1. shift 1 unit to the right and up 2 units → y = |x-1| + 2
2. shift 3 units to the left and 7 units down → y = |x + 7| - 7
3. vertical shrink by a factor of 1/3 → y = [tex] \frac{1}{3} [/tex]|x|
4. vertical stretch by a factor of 3 → y = 3 |x|

What is the slope of the line that passes through the points (-4, 6) and (2, 4)?

A. -3

B. -1/3

C. 1/3

D. 3

Answers

Your answer will be a
That would be  the difference in y values / corresponding difference in x values 
=  (4 - 6) / (2 - - 4)
= -2 / 6
= -1/3

Factor the polynomial completely.
x2 + 16
A) (x + 4)(x + 4)
B) (x - 4)(x - 4)

Answers

OK  
Its D 
cannot factor this

1. a stockholder owns 381.881 shares. by the end of the year, he had increased his number of shares by 14.814. what is the total number of shares owned by the stockholder?
2. last week a sales representative earned a salary of $412.56 and a commission of $72.48. how much did she earn in all?
3.joan deposited a check for $48.51 in her checking account. if the previous balance was $381.49, how much money does joan now have in the account?

Answers

1 is 396.695
2 is 485.04
3 is 430
1. 367.067 is it......
 

John ,Rick , and Molli are painting a room together. It takes all of them 16 hours to paint the room to perfection. It takes John 8 hours to paint the room alone , and it takes Rick 2 hours to paint the room alone. What is the hourly rate it take’s of john to paint the room alone?

Answers

John's hourly rate is 1/8 of the room per hour.
Rick's hourly rate is 1/2 of the room per hour.
Molli's hourly rate would be 3/8 of the room per hour.

It takes Molli 2 2/3 hours to paint the room alone.

Explanation
Since John paints the entire room (100%=1) in 8 hours, he would paint 1/8 of the room in 1 hour.
Since Rick paints the entire room (100%=1) in 2 hours, he would paint 1/2 of it in 2 hour.

We do not yet know Molli's rate, so we will call it x.

We know that 1/8+1/2+x = 1 hour.

We will use 8 as a common denominator:
1/8+4/8+8x/8 = 1

Adding the numerators, 
(1+4+8x)/8 = 1

Multiply both sides by 8:
1+4+8x = 8

Add like terms:
5+8x = 8

Subtract 5 from both sides:
5+8x-5=8-5
8x=3

Divide both sides by 8:
8x/8 = 3/8
x = 3/8

Molli's rate is 3/8.

Since she can paint 3/8 of the room in 1 hour, we can set up the equation
3/8x = 1

Divide both sides by 3/8:
3/8x ÷ 3/8 = 1 ÷ 3/8
x = 1/1 ÷ 3/8 = 1/1 × 8/3 = 8/3
x = 2 2/3

This is the amount of time it takes Molli to paint the entire room.

John's hourly rate of painting a room alone is 1/8 of the room per hour, which is calculated from the time he takes to complete the job on his own.

The question asks for the hourly rate at which John can paint a room alone. Knowing that John takes 8 hours to paint the room by himself, we can find his hourly rate by understanding the concept of work rates in combination tasks. Since painting can be considered a task that involves continuous work, the rate at which the room gets painted relates directly to a painter’s work rate, which is the fraction of the room they can paint per hour. For John, his work rate is the reciprocal of the time he takes to paint the room alone, which in this case is 1/8 of the room per hour.

Marcus painted 1/3 of his bedroom in 4/5 of an hour. at this rate how long will it take him to paint his entire room

Answers

It will take him 2 2/5 hours

Answer:

So it took him 4/5 of an  hour to paint 1/3  

that means there is still 2/3 to go  

so that means that he will have two times that time to paint the rest of the room

4/5    =  ?  

1/3       2/3

using cross multiplication

(4/5)(2/3) = (1/3) (?)

8/15 = 1/3 ?

divide both sides by 1/3

so that will be 8/5

that means it will take 8/5 of an hour to complete the rest  

or 12/5 total to do entire room

Hope this helps ;)

Step-by-step explanation:

The spheres radius is 1/3 the radius of the hemisphere how does the volume of the hemisphere compare with the volume of the sphere

Answers

Let the radius of the hemisphere be x, the radius of the sphere is 1/3x
the volume of the sphere will be:
V=4/3πr³
V=4/3×π×(1/3x)³
V=4/81πx³

Volume of the hemisphere will ve:
V=1/2×4/3πr³
v=2/3×π×x³
v=2/3πx³
comparing the two volume by dividing the the volume of the hemisphere by that of the sphere we obtain:
(2/3πx³)/(4/81πx³)
=13.5
this implies that the volume of the hemisphere is 13.5 times the volume of the sphere.

Answer:

It is greater than the volume of the sphere

Step-by-step explanation:

A survey was conducted on 800 students regarding the number of automobiles in their household. A sample mean of 2.7 automobiles was determined, with a standard deviation of 0.7 automobiles. Assuming a 95% confidence level, which of the following statements holds true?

Answers

The margin of error is z*SD/sqrt(n). z is the critical score for a 95% confidence interval, which is 1.96. SD = 0.7, and n = 800 (the sample size). Therefore the margin of error is 1.96*0.7/sqrt(800) = 0.049. This is an appropriately large sample size.
The correct answer is: As the sample size is appropriately large, the margin of error is ±0.049.

The statement that holds true with a 95% confidence level is  true population mean of the number of automobiles in households of students is between 2.6524 and 2.7476."

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

To determine which of the following statements holds true, we need to use the confidence interval formula:

Confidence Interval = sample mean ± (critical value x standard error)

where the critical value is determined by the confidence level and the standard error is calculated using the formula:

standard error = standard deviation / sqrt(sample size)

With a 95% confidence level, the critical value is 1.96. Plugging in the values given in the question, we get:

standard error = 0.7 / sqrt(800) = 0.0247

Confidence Interval = 2.7 ± (1.96 x 0.0247) = (2.6524, 2.7476)

Therefore, the statement that holds true with a 95% confidence level is:

"The true population mean of the number of automobiles in households of students is between 2.6524 and 2.7476."

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The area of the base of the regular quadrilateral pyramid is 36 cm2 and the area of a lateral face is 48 cm2. Find Lateral area of the pyramid

Answers

we know that
They are 4 Lateral sides on the regular quadrilateral pyramid,
so
 if one of them is 48 cm²,
we multiply it by 4,
48 cm²*4------> 192 cm²

the answer is
The Lateral area of the pyramid is 192 cm²

Proof: all radii of a circle are congruent, so , and since and , then are right triangles by the __________ congruency theorem. the corresponding sides of the triangles, and , are congruent, so zv = yx. thus, we know that 2zv = 2yx by the multiplication property of equality. by a congruency theorem that states, "if a diameter of a circle is perpendicular to a chord, then the __________," bisects and bisects , so vu = 2zv and xw = 2yx. therefore, we can conclude that vu = xw, or .
a. hl (hypotenuse-leg) . . . diameter bisects the chord and its other chord
b. sss (side-side-side) . . . diameter bisects the arc and its measurement
c. hl (hypotenuse-leg) . . . diameter bisects the chord and its arc
d. asa (angle-side-angle) . . . chord but not the diameter

Answers

The answer is A. HL and diameter bisects the chord and its other chord. 

A certain arithmetic sequence has the following explicit formula for the nth term: an = 3 + (n - 1)(8) The same sequence has the following recursive formula: an = an-1 + _____ What number belongs in the blank space in the recursive formula? A. 5 B. 3 C. 8 D. 24

Answers

From the explicit formula:
an=3+(n-1)8
simplifying this we get:
an=3+8n-8
an=8n-5
thus 
the recursive formula is:
an=an-1+
the missing part is the common difference which is 8

Solve the system of equations using any method. 6x + 4y = −8 4x − 2y = 2 A) ( 11 7 , 2 7 ) B) ( 2 7 , 11 7 ) C) (− 2 7 , 11 7 ) D) (− 2 7 , − 11 7 )

Answers

For this case we have the following system of equations:
 6x + 4y = -8
 4x - 2y = 2
 To solve it we can use the graphic method.
 The solution is then the point of intersection of both lines.
 We have then:
 x = -2 / 7
 y = -11 / 7
 Answer:
 D) (- 2/7, - 11/7)
 See attached image

What rate of simple interest is needed for $700 to double, in 3 years?

Answers

Final answer:

The rate of simple interest required for $700 to double in 3 years is found using the formula I=PRT. In this scenario, the rate comes out to be approximately 33.3%.

Explanation:

The subject of this question is finding the rate required for simple interest to cause an investment of $700 to double in a duration of 3 years.

Generally, we use the formula for simple interest: I=PRT where P is the principal amount (700 in this case), I is the interest earned, R is the rate we want to find and T is the time period in years.

However, since the aim is for the $700 to double, the interest earned will be an additional $700, thereby making the total $1400. Thus, substituting these values into the formula, we get 700 = 700 * R * 3. Simplifying this, we find that R = 700/(700*3) = 1/3 or approximately 33.3%.

Hence, the rate of simple interest required for $700 to double in 3 years is approximately 33.3%.

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R = 1/3 or 33.33%. So, the simple interest rate needed for $700 to double in 3 years is approximately 33.33%.

To find out the simple interest rate that is needed for $700 to double in 3 years, we can set up the equation based on the formula for simple interest, which is I = PRT (where I is the interest, P is the principal amount, R is the rate of interest, and T is the time period in years).

Since the student wants the money to double, the interest gained should be equal to the principal, which means I = $700. The time given is T = 3 years. Plugging these values into our formula, we get:

$700 = $700 × R  × 3

By dividing both sides by $2100 ($700  ×3), the equation simplifies to:

R = $700 / $2100

Therefore, R = 1/3 or 33.33%. So, the simple interest rate needed for $700 to double in 3 years is approximately 33.33%.

Whats the average cost to put wood floors in a 12 ft x 16 ft room?

Answers

Area in ft sq. × cost per ft sq.

Which statement follows from the given theorem? Theorem: The diagonal of a parallelogram divides it into two congruent triangles.

A. Diagonals of a parallelogram bisect opposite angles.

B. Consecutive sides of a parallelogram are congruent.

C. Consecutive angles of a parallelogram are congruent.

D. Consecutive angles of a parallelogram are supplementary.

Answers

Answer:

Opposite sides of a parallelogram are congruent.

Step-by-step explanation:

The correct answer is A. Diagonals of a parallelogram bisect opposite angles.

The theorem states that the diagonal of a parallelogram divides it into two congruent triangles. This means that the two triangles have the same corresponding side lengths and angles. Since the diagonal is a common side to both triangles, the opposite angles must also be congruent.

Option B, "Consecutive sides of a parallelogram are congruent," is not always true. For example, in a rectangle, which is a type of parallelogram, the consecutive sides are not congruent.

Option C, "Consecutive angles of a parallelogram are congruent," is also not always true. For example, in a rectangle, which is a type of parallelogram, the consecutive angles are not congruent.

Option D, "Consecutive angles of a parallelogram are supplementary," is not always true. For example, in a square, which is a type of parallelogram, the consecutive angles are not supplementary.

Therefore, the only statement that follows from the given theorem is A. Diagonals of a parallelogram bisect opposite angles.

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Use the given information to find the amount aa in the account earning compound interest after 6 years when the principal is $3500. r=2.16%r=2.16%, compounded quarterly the amount after 6 years is $ .

Answers

$3,982.92

Equation for compound interest:
A = P (1+r/n)^nt

P = 3500
r = .0216
n = 4
t = 6

Answer: $3,982.92

Step-by-step explanation:

$3,982.92

Equation for compound interest:

A = P (1+r/n)^nt

P = 3500

r = .0216

n = 4

t = 6

. A circular window has a diameter of 40 centimeters. What is the circumference of the window? Use 3.14 for π π 251.2 cm

Answers

The circumference of the window is 125.6 cm.

What is the approximate volume of a cylinder with a radius of 8 cm and height of 5 cm?

A. 62.8

B. 251.2

C. 25.1

D. 502.4

E. 1004.8

Answers

V(cylinder)=πr² *h
r=8 cm
h=5 cm
V(cylinder)=πr² *h =3.14*8²*5= 1004.8 cm³
Answer : E.

please help me with this pre-calc question?

Answers

The answer is the option C, which is: C. √29

 The explanation of this exercise is:

 To solve this problem you must apply the proccedure shown below:

 1- You have that:

 W (-2,8,-3) and  X(1,4,-1)

 2- Therefore, you can calculate the magnitude as below:

 |WX|=√[(1-(-2)]²+(4-8)²+[(-1-(-3)]²)
 |WX|=√29

The circumference of a circle is 18.84 millimeters. what is the circle's area

Answers

     Circumference = 2 [tex] \pi [/tex] r 
                   18.84 = 2 [tex] \pi [/tex] r
9.42/[tex] \pi [/tex] = r

Area = [tex] \pi [/tex] r²
         = [tex] \pi [/tex] (9.42/[tex] \pi [/tex])²
         = 9.42²/[tex] \pi [/tex]
         = 28.25 mm²²


A gardener measured the heights of pepper plants in his garden. The results, rounded to the nearest inch, are shown on the line plot.Based on the graph, which statement about the heights of the pepper plants is true?
More than half of the plants are taller than 6 inches.
Fewer than one-quarter of the plants are taller than 4 inches and shorter than 7 inches.
More than half of the plants are less than 6 inches tall.
Fewer than one-quarter of the plants are taller than 7 inches and shorter than 10 inches.

Answers

Answer:

D) Fewer than one-quarter of the plants are taller than 7 inches and shorter than 10 inches.

Step-by-step explanation:

There are 17 total plants, 17/4=4.25

Plants taller than 7 inches and less than 10 are 8 or 9 inches tall

There are 3, 8 inch plants

There is 1, 9 inch plant

The total plants between 7 and 10 inches is 4

Answer:

D

Step-by-step explanation:

took the test

Harry was given an assignment. He had 32 days to get 256 tasks done at work.Which operation would he use to figure out how many tasks he needs to complete each day?

Answers

division. divide 256 by 32 to find how many tasks he’d have to do each day

Answer:

d

Step-by-step explanation:

If it’s the weekend, the chances of Allison going to the store is 4/5. If its a weekday, the chances are 2/5. Given that Allison will not go to the store, what is the probability that it’s the weekend?

Answers

Given that it's a weekend, chances of Allison going to the store is 4/5
If its a weekday, the chances are 2/5.
Given that Allison will not go to the store the probability that it’s the weekend? will be:
1-(it's a weekend and Allison will go to the store)
=1-4/5
=1/5

Answer: 1/5

Joy and Cullen put some money into their money boxes every week. The amount of money (y), in dollars, in their money boxes after a certain amount of time (x), in weeks, is shown by the equations below:

Joy: y = 30x + 20
Cullen: y = 20x + 90

After how many weeks will Joy and Cullen have the same amount of money in their money boxes, and what is that amount?



6 weeks, $150
230 weeks, $7
7 weeks, $150
7 weeks, $230

Answers

The answer would be D. 7 weeks, $230. 

Explanation: y would be the total amount after x weeks. So, to find the answer, simply go through your choices and insert x and y. Both y's for Joy and Cullen have to match up for the answer to be correct. 

For answer D, it looks like: 

Joy: 30(7) + 20 = 230
Cullen: 20(7) + 90 = 230

Need help asap for this math problem !!!!!!

Answers

The correct answer is D

i believe the answer is d


What is the distance between the points (14, 29) and (14, 58) in the coordinate plane?

Answers

[tex] Distance= \sqrt{(x_{2}-x_{1}) ^{2}+(y_{2}-y_{1})^2} = \sqrt{(58-29)^{2}+(14-14)^{2}} =29 But because x_{1}=x_{2}, and it is a vertical segment, it is enough to find abs(y_{2} -y_{1})=|58-29|=29[/tex]
Answer: 29 units

∞∞∞∞∞∞∞∞∞
Explanation:
∞∞∞∞∞∞∞∞∞

[tex]\textnormal {Formula : Distance }= \sqrt{(Y_2 - Y_1) ^2+(X_2 - X_1)^2}[/tex]

[tex]\textnormal {Plug }(X_1 ,Y_1) = (14, 29) \textnormal { and } (X_2 , Y_2) = (14, 58) \textnormal { into the formula: }[/tex]

[tex]\textnormal {Distance }= \sqrt{(58 -29) ^2+(14-14)^2} = \sqrt{29^2 + 0^2} = \sqrt{841} = 29 \textnormal { units} [/tex]


Given:In quadrilateral WXYZ , WY and XZ bisect each other at point A. Prove: Quadrilateral WXYZ is a parallelogram.

Answers

Final answer:

Given that the diagonals WY and XZ in a quadrilateral WXYZ bisect each other, we can confidently say that quadrilateral WXYZ is a parallelogram. This is based on the property of a parallelogram which states that its diagonals bisect each other.

Explanation:

To prove that a quadrilateral is a parallelogram given that the diagonals bisect each other, we'll apply the properties of a parallelogram. According to the properties of a parallelogram, the diagonals bisect each other. That is to say, if WY and XZ bisect each other at point A (i.e., WA=AY and AZ=ZX), then WXYZ is a parallelogram. This satisfies the condition for the given quadrilateral and hence WXYZ is a parallelogram.

We use this information along with the parallelogram rule and the Pythagorean theorem to prove the quadrilateral is, in fact, a parallelogram. The rule states that if a quadrilateral has diagonals that bisect each other then it is a parallelogram.

In this case, since WY and XZ bisect each other at point A, we know that the lengths WA = AY and XA = AZ. Hence, quadrilateral WXYZ is indeed a parallelogram.

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What is the point-slope form of a line with slope -3 that contains the point (10, -1)?

A.y + 1 = 3(x - 10)
B.x + 1 = -3(y - 10)
C.y + 1 = -3(x - 10)
D.y + 1 = 3(x + 10)

Answers

When in point-slope form, the number next to the y and the x by themselves will be the opposite of what they would actually be as coordinates. This means that the y-coordinate, -1, will show up as y+1. This eliminates A and B out of the choices.

The slope is -3, which will be the number outside of the parentheses, which is what we see in C’s answer or -3(x-10).

Therefore, the answer is C: y+1 = -3(x-10).

Write as a mixed fraction: 22 / 3

Answers

To solve the exercise shown above, you must apply the following proccedure.

 1. You have the following fraction:

 22/3

 2. To write that fraction as a mixed number, you must divide the numerator by the denominator.

 3. Then, write the whole number and next to it, the reminder as the numerator and the quotient as the denominator.

 4. Therefore, the answer is:

 7 1/3

The fraction 22/3 can be written as the mixed fraction 7 1/3.

We have,

To write the fraction 22/3 as a mixed fraction, we need to divide the numerator (22) by the denominator (3) and express the result as a whole number plus a proper fraction.

When we divide 22 by 3, we get a quotient of 7 and a remainder of 1.

The quotient represents the whole number part, and the remainder becomes the numerator of the proper fraction.

Thus,

22/3 can be written as the mixed fraction 7 1/3.

This means that we have 7 whole units and an additional 1/3 unit.

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If a section of a line graph falls to the right, what does that indicate?

an increase
a decrease
no change
a mistake in the graph

Answers

It Would Be A Decrease Fam

This would be a decrease because the y value gets smaller as the x value gets larger.
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In a study of 38% of adults questioned reported that their health was excellent. a researcher wishes to study the health of people living close to a nuclear power plant. find the probability that when 11 adults are randomly selected, at most 3 are in excellent health Oscar likes to run at night. even though it is dark, oscar can see because his eyes have specialized cells that convert the low levels of light energy into neural activity. these cells are known as This is an example of episodic memory or (personally experienced events).a. your age on your last birthdayb. the event leading up to your high school graduationc. freud is considered the father of psychology.d. the sports scores from this week's newspaper Seed corn was $5 per bag, whereas dog food cost only $3 per bag. Wewoka bought 50 bags and spent $190. How many bags of dog food did she buy? Peter makes $7,000 a month plus some extra commission he makes 6% of everything he sells if Peter sold $55,000 of jewelry this month what his salary this month What makes this appeal from the paragraph convincing? I have been a nurse for twenty years. It uses proven data as evidence. It appeals to the readers emotions. It shows the writers credibility. It reveals important statistics. Most human genetic disorders are caused by the expression of_____A) recessive allelesB)two dominant alleles C)one dominant allele D) sex-linked heredity What are the starting materials for nuclear fission An employer informs its employees that it will hold a substantial cash prize drawing for each work group at the end of each month in which all members of the work group comply with applicable safety rules, such as wearing required fall protection. Doug sustains a lost-time injury when he falls from a platform while not wearing required fall protection. Dougs employer cancelled the cash prize drawing for Dougs work group that month because Doug failed to wear required fall protection. The employer actively monitors its workforce for compliance with applicable work rules and cancels the cash prize drawings when it discovers work rule violations regardless of whether the employee who violated the work rule also reported an injury. Did the employer use an incentive program to retaliate against Doug? The height of a free falling object at time t can be found using the function, h(t) = - 12t2 + 36t. Where h(t) is the height in feet and t is the in seconds. Find the time when the object hits the ground There are many methods used to obtain energy for use in our daily lives. Some of these methods have possible environmental consequences to rivers, groundwater, and organisms. One type of pollution involves excess carbon dioxide being released into the air. Some of the carbon dioxide reacts with water to form acid rain. Which energy sources can release carbon dioxide and carbon monoxide waste into the atmosphere? A)wind and solar B)wind and nuclear C)solar and nuclear D)coal and petroleum Which of the choices below is not a function of testosterone?a. contributes to male sexual behavior and spermatogenesisb. stimulates the male pattern of developmentc. stimulates mammary gland developmentd. stimulates protein synthesis? In a cross-border alliance, cultural differences can be overlooked when ________. How was President Franklin Roosevelt's personal life connected to the state of Georgia?A)He was born in Georgia.B)He traveled there because of his illness.C)He married someone who was originally from Georgia.D)He went there for security reasons during World War II. Use the Babylonian method to estimate 80 to the nearest hundredth. what were some of the arms control agreements reached during the cold war An open box with a square base should be constructed. the bottom, should be constructed from a heavy duty cardboard that cost $3 per square inches and the sides from a medium duty cardboard that cost $2 per square inches. if the volume of the box must be 120 cubic inches, what should be the dimensions of the box in order to minimize the cost for the material? Smooth muscle in the walls of the urine move urine along to the bladder by Hamlet interacts with Osric in act 5, scene 2. What function does this interaction have in the play? It resolves a problem. It provides comic relief. It heightens the tragedy. It is an example of dramatic irony. The purposes of sending an application or rsum follow-up message to an employer include jogging the memory of the hiring manager, showing your serious interest in the position, and setting a deadline for the employer to offer you the position. sending a personal note to the receptionist, who often helps make the final decision. emphasizing your qualifications or adding new information. sharing your photograph to match your qualifications to your face.