a 14-member board used for admitted

Answers

Answer 1

Using the Borda's method, when one person is ranked as 1st, he/she gets 3 points, if he/she is ranked 2nd, get 2 points, also, if he/she is ranked as 3rd get 1 point, and finally, 0 points if she/he is ranked as 4th

so, let's detemine how many points got each one

Cardona: Was selected 1st by 6 people, 2nd by 2 people, 3rd by 4 people and 4th by 2 people

[tex]C=3*6+2*2+1*4=26[/tex]

So, that's a total of 26 points

Pitts-Jones: Was selected as: #1 by 4 people, #2 by 3 people, #3 by 6 people and 4th by 1 person

[tex]P=3*4+2*3+1*6=24[/tex]

So, that's 24 points for Pitts-Jones,

De Plata: Was ranked #1 by 2 people, #2 by 8 people, #3 by 1 person and #4 by 3 people

[tex]D=3*2+2*8+1*1=23[/tex]

That's 23 points for De Plata

Vincent: Was ranked as #1 by 2 people, #2 by 1 person, #3 by 3 people and #4 by 8 people

[tex]V=3*2+2*1+1*3=11[/tex]

that's 11 points for Vincent,

Answer: From the above, we can conclude that the winner using Borda's method is Cardona


Related Questions

Find the set An B.
U = {1, 2, 3, 4, 5, 6, 7, 8)
A = {1, 2, 3, 4)
B = {1, 2, 6}

Answers

Step-by-step explanation:

I assume A n B means the intersection of the sets A and B.

that means all the elements that are in A and in B.

that is the set {1, 2}

Hi, can you help me answer this question please, thank you!

Answers

1. Test statistic:

To find the test statistic, we use the formula:

[tex]\begin{gathered} Z=\frac{\bar{X_d}-\mu_d}{\frac{s_d}{\sqrt[]{n}}} \\ \text{where,} \\ \bar{X}_d=sample\text{ difference} \\ \mu_d=\text{population difference} \\ s_d=\text{standard deviation of the differences } \\ n=\text{ number of people in the survey.} \\ \\ \text{ We use Z statistic because the number of people are more than 30} \end{gathered}[/tex]

Solving for Z, we have:

[tex]\begin{gathered} \bar{X}-\mu_d=3.1\text{ (Average difference given in the question)} \\ \\ \therefore Z=\frac{3.1}{\frac{13.8}{\sqrt[]{40}}}=1.4207\approx1.421\text{ (To 3 decimal places} \end{gathered}[/tex]

Thus, the test statistic is 1.421

2. P-value:

To find the p-value, we check the Z-distribution table.

The value for the p-value is

[tex]2\times0.077658=0.15532\approx0.1553\text{ (To 4 decimal places)}[/tex]

(We multiply by 2 because it is a two-tailed test.

3. Comparison:

The alpha level is 0.001.

Thus, the p-value is greater than the alpha level

If $5000 is invested at 9% annual simple interest, how long does it take to be worth $9050?

Answers

It takes 9 years to make $9050 from $5000 investment.

Given that, Principal = $5000, rate of interest = 9% and Amount = $9050.

What is the simple interest?

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.

Simple interest is calculated with the following formula: S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years.

Here, S.I. = Amount - Principal

= 9050-5000 = $4050

Now, 4050=(5000×9×T)/100

⇒ 4050/450 = T

⇒ T = 9 years

Therefore, it takes 9 years to make $9050 from $5000 investment.

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Jack bought 3 slices of cheese pizza and 4 slices of mushroom pizza fora total cost of $12.50. Grace bought 3 slices of cheese pizza and 2 slices of mushroom pizza for a total cost of $8.50. What is the cost of one slice of mushroom pizza?

Answers

c = price of a slice of Cheese pizza

m= price of a slice of mushroom pizza

Jack bought 3 slices of cheese pizza and 4 slices of mushroom pizza fora total cost of $12.50

3c + 4 m = 12.50

Grace bought 3 slices of cheese pizza and 2 slices of mushroom pizza for a total cost of $8.50.

3c + 2m = 8.50

We have the system of equations:

3c + 4 m = 12.50 (a)

3c + 2m = 8.50 (b)

Subtract (b) to (a) to eliminate c

3c + 4m = 12.50

-

3c + 2m = 8.50

_____________

2m = 4

Solve for m:

m = 4/2

m=2

The cost of one slice of mushroom pizza is $2

A homeowner estimates that it will take 9 days to roof his house. A professional roofer estimates that he could roof the house in 5 days. How long ( in days ) will it take if the homeowner helps the roofer?

Answers

Solution:

If x denote the days, the rate unit being Jobs per day is:

[tex]\frac{1}{x}=\frac{1}{9}+\frac{1}{5}[/tex]

this is equivalent to

[tex]\frac{1}{x}=\frac{5+9}{45}=\frac{14}{45}[/tex]

solving for x, we get:

[tex]x\text{ = }\frac{45}{14}=3.2\text{ days}[/tex]

that is just a little more than 3 days.

state income tax? Jim Koslo earns $156,200 annually as a plant manager. He is married and supports 3 children. The state tax rate in his state is 3.55% of taxable income. What amount is withheld yearly for state income tax?

Answers

Answer:

44,000

Let me know if its wrong

Hi, can you help me answer this question please, thank you!

Answers

[tex]\begin{gathered} t=\frac{(\bar{x_1}-\bar{x_2})}{\sqrt[]{\frac{s^2_1}{n_1}+\frac{s^2_2}{n_2}_{}_{}}} \\ \end{gathered}[/tex]

From the problem we have

[tex]\begin{gathered} n_1=50 \\ n_2=30 \\ \bar{x_1}=2.31 \\ \bar{x_2}=2.02 \\ s_1=0.89 \\ s_2=0.61 \end{gathered}[/tex]

We replace in t

[tex]\begin{gathered} t=\frac{(2.31-2.02)}{\sqrt[]{\frac{(0.89)^2_{}}{50_{}}+\frac{(0.61)^2_{}}{30_{}}_{}}} \\ t=\frac{0.29}{\sqrt[]{0.028245_{}_{}}} \\ t=1.725 \\ t=1.73 \end{gathered}[/tex]The answer is t=1.73

Question 34: Find the polar coordinates that do NOT describe the point on the graph. (Lesson 9.1)

Answers

Notice that the polar coordinates of the point on the simplest form are (2,30). Then, the only option that does not match a proper transformation of coordinates is the point (-2,30)

Which expression is undefined? O A. 11 B.- 3 C.6-6) D. -4+0

Answers

Answer:

Option C

Step-by-step explanation:

Undefined expression:

Division by 0, or fraction in which the denominator is 0. In this question, this is in option C, since 3/(6-6) = 3/0.

Question 11:What is the maximum height of the driver off the diving board

Answers

[tex]y=-\frac{4}{9}x^2+\frac{24}{9}x+12[/tex]

To find the maximun height (y) given a quadratic equation as above you find the coordinates of the vertex (maximum or minimun point of a parabola)

1. Use the next formula to find the x- coordinate of the vertex

[tex]\begin{gathered} y=ax^2+bx+c \\ \\ x=-\frac{b}{2a} \end{gathered}[/tex][tex]\begin{gathered} x=-\frac{\frac{24}{9}}{2(-\frac{4}{9})} \\ \\ x=-\frac{\frac{24}{9}}{-\frac{8}{9}}=\frac{-24}{-8}=3 \end{gathered}[/tex]

2. Use the value of x above to find y-coordinate in the vertex:

[tex]\begin{gathered} y=-\frac{4}{9}(3)^2+\frac{24}{9}(3)+12 \\ \\ y=-\frac{4}{9}(9)+\frac{72}{9}+12 \\ \\ y=-4+8+12 \\ \\ y=16 \end{gathered}[/tex]Then, the maximum height of the diver is 16 feet

Evaluate the expression when m=9 and n=7.
5m +n
Correction: m = 7 and n = 9

Answers

We have the expression:

[tex]5m+n\text{.}[/tex]

We must evaluate the expression for:

• m = 7,

,

• n = 9.

Replacing the values of m and n in the expression above, we get:

[tex]5\cdot7+9=35+9=44.[/tex]

Answer

44

Benny is flying a kite directly over his friend Frank, who is 125 meters away.When he holds the kite string down to the ground, the string makes a 39° anglewith the level ground. How high is Benny's kite?Draw a sketch depicting the situation above.b.)Use trigonometry to determine the height of Benny's kite.

Answers

Solution

Let us draw a diagram to illustrate the information

Using SOHCAHTOA

[tex]\begin{gathered} tan\theta=\frac{opposite}{adjacent} \\ \\ tan39=\frac{h}{125} \\ cross\text{ multiply} \\ h=125\times tan39 \\ \\ h=101.2230041 \\ \\ h=101.22m\text{ \lparen to two decimal places\rparen} \end{gathered}[/tex]

A boy goes to school by first taking a bus for 1 3/4 km and then by walking 1/3 km. Find the distance of his house from the school.

Answers

The boy goes to school by bus for 1 3/4km, then he walks 1/3 km.

To determine the total distance he traveled you have to add both distances:

[tex]1\frac{3}{4}+\frac{1}{3}[/tex]

To solve this sum, add the fractions first and then add the result to the whole number:

- Add both fractions:

[tex]\frac{3}{4}+\frac{1}{3}[/tex]

To add both fractions you have to express them using the same denominator first. A common multiple between the denominators "4" and "3" is "12". Multiply the first fraction by 3 and the second by 4 to express them as their equivalent fractions with denominator 12. Then proceed to add them:

[tex]\frac{3\cdot3}{4\cdot3}+\frac{1\cdot4}{3\cdot4}=\frac{9}{12}+\frac{4}{12}=\frac{9+4}{12}=\frac{13}{12}[/tex]

The result is 13/12, as you can see the numerator is greater than the denominator, which indicates that this is an improper fraction, i.e. its value is greater than 1. You can write this fraction as a mixed number as follows:

- Solve the division:

[tex]13\div12=1.08\bar{3}[/tex]

The mixed number will have the whole number "1".

- To express the decimal value as a fraction, multiply it by 12

[tex]0.08\bar{3}\cdot12=1[/tex]

The result is the numerator of the fraction, and the denominator will be 12, so:

[tex]0.08\bar{3}=\frac{1}{12}[/tex]

And the resulting mixed number is:

[tex]\frac{13}{12}=1\frac{1}{12}[/tex]

Finally, add the remaining whole number from the first sum to determine the distance between his house and the school:

[tex]1+1\frac{1}{12}=2\frac{1}{12}[/tex]

The distance he traveled from home to school is 2 1/12 km.

Solve the inequality and graph the solution on the line provided.
< > M >
Inequality Notation:
Number Line:
or
-12 -10 -8 -6
-4 -2
0 2 4
Click and drag to plot line.
2x64 -48
6
8
10 12

Answers

Answer:

x ≥ 8

Step-by-step explanation:

Given

Inequality 2x - 64 ≥ - 48

Solution

2x - 64 ≥ - 482x ≥ 64 - 482x ≥ 16x ≥ 8

To graph the solution, plot the point x = 8, make it closed dot, shade the line to the right from this point.

An amusement park's owners are considering extending the weeks of the year that it is opened. The owners would like to survey 100 randomly selected families to see whether an extended season would be of interest to those that may visit the amusement park.What is the best way to randomly choose these 100 families? Have the owners of the amusement park ask the first 100 people they see.Choose a neighborhood near the amusement park and ask 100 families in this neighborhood.Ask the first 100 families that enter the amusement park on a busy weekend day.Allow a random number generator to come up with 100 families within a 50 radius of the amusement park.

Answers

Solution

Option 1:

- The owners asking the first 100 people they see would mean that they would see only those around them. This could be anyone at all from workers in the amusement park to people outside the park; these would not be random, and would not necessarily be a family but the survey is talking about randomly choosing 100 families. Because of these reasons, this is not the best way to randomly choose 100 families.

Option 2:

- Choosing a neighborhood near the amusement park would mean that they go to a neighborhood with families that might visit the amusement park and there would be many families to randomly choose from.

- This option seems like a good choice to randomly choose these 100 families that might visit the amusement park.

Option 3:

- Asking the first 100 families that enter the amusement park on a busy weekend would definitely bias the survey since families that you find in the amusement park are families that definitely want to be there and if they are there on a busy weekend, they certainly would not mind extending the season

Solve by applying the zero product property.m^2= 27-6m

Answers

To apply the zero product property we first need to write all the terms of the equation on side:

[tex]\begin{gathered} m^2=27-6m \\ m^2+6m-27=0 \end{gathered}[/tex]

Now we need to factorise the expression on the right:

[tex]\begin{gathered} m^2+6m-27=0 \\ (m+9)(m-3)=0 \end{gathered}[/tex]

The last line indicates that the product of two numbers is equal to zero this means that one of them has to be zero (this is the zero product property), then we have:

[tex]\begin{gathered} m+9=0 \\ m=-9 \\ or \\ m-3=0 \\ m=3 \end{gathered}[/tex]

Therefore, the solutions of the equation are m=-9 and m=3

Brayden was given a box of assorted chocolates for his birthday. Each night, Brayden
treats himself to some chocolates. The number of chocolates remaining in the box t
days after Brayden's birthday can be modeled by the equation C = -3t+ 12. What
is the slope of the equation and what is its interpretation in the context of the
problem?

Answers

Answer:

Step-by-step explanation:

The slope of the function is -3 which reveals the number of chocolates Brayden eats each night.

Please see the picture below,PART BUse the real zeros to factor f

Answers

Explanation:

The polynomial is given below as

[tex]f(x)=x^4+2x^3-7x^2-8x+12[/tex]

Given in the question above the real zeros are gotten below as

[tex]x=-3,-2,1,2[/tex]

Concept:

To figure out the factor form of the polynoimial, we will equate each zero to x below as

[tex]\begin{gathered} x=c \\ (x-c) \end{gathered}[/tex]

Therefore,

The factored form of the polynomial will be

[tex]\begin{gathered} f(x)=x^{4}+2x^{3}-7x^{2}-8x+12 \\ x=-3,x=-2,x=1,x=2 \\ f(x)=(x+3)(x+2)(x-1)(x-2) \end{gathered}[/tex]

Hence,

Using the real zeros of f(x) , the factored form of the polynomial is

[tex]\Rightarrow f(x)=(x+3)(x+2)(x-1)(x-2)[/tex]

Write a pair of complex numbers whose sum is -4 and whose product is 53

Answers

The pair of complex numbers whose sum is -4 and whose product is 53 is illustrated as -b² - 4b - 53 = 0.

How to calculate the he value?

Let the numbers be represented as a and b.

Therefore a + b = -4 .....i

a × b = 53 ........... ii

From equation I, a = -4 - b

Put this into equation ii

ab = 53

(-4 - b)b = 53

-b² - 4b = 53

Equate to 0

-b² - 4b - 53 = 0

The value can be found using the Almighty formula

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Consider the following equation of a parabola.(y- 7)? = -4(x - 3)Step 1 of 3: Find the focus of the parabola.

Answers

Answer

Focus = (2, 7)

Explanation

Given:

The following is the equation of a parabola

[tex](y-7)^2=-4x(x-3)[/tex]

What to find:

To find the focus of the parabola.

Step-by-step solution:

The general equation of a parabola can be given as,

[tex](y-k)^2=4p(x-h)[/tex]

Comparing the general equation of a parabola with the given equation of a parabola, we have

4p = -4

∴ p = -4/4 = -1

Also,

h = 3

k = 7

Since h ± c = F

We have,

3 - 1 = 2

Therefore, the focus will be (h ± c, k) = (2, 7)

solve the equation x 1.)132.)13/33.) 104.) none of these choices

Answers

Answer:

2. 13/3

Step-by-step explanation:

x will be equal to 13/3.

Given,

5^(2x - 1) = 5^(5x - 14)

We can see that base is the same for both the exponents on each side of the equation.

Now, on using the Logarithm on both sides with base 5, we can see that the base on both sides of the equation cancels out with the log (base 5) function.

And new equation becomes:

(2x - 1) = (5x - 14)

This derives us to another conclusion that if the base of an exponent is equal then,

the powers must be equal too.

(2x - 1) = (5x - 14)

=> 5x - 2x = -1 + 14

=> 3x = 13

which gives us,

=> x = 13/3.

Therefore x = 13/3.

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Which table shows a proportional relationship between miles traveled and gas used?




Miles Traveled Gas Used
27.3 mi 1.5 gal
49.16 mi 3.8 gal

Miles Traveled Gas Used
120 mi 6.2 gal
180 mi 12.2 gal

Miles Traveled Gas Used
135 mi 7.4 gal
135.5 mi 7.9 gal

Miles Traveled Gas Used
270 mi 15 gal
135 mi 7.5 gal

Answers

Answer:

D

Step-by-step explanation:

270mi 15gal

135mi 7.5gal

135/270=0.5
7.5/15=0.5

or

135/7.5=18
270/15=18

Solve the following inequality: 6p - 15 < 33

Answers

WE are to solve an inequality, so we proceed to isolate the variable "p" on one side of the inequality symbol:

6 p - 15 < 33

we add 15 to both sides:

6 p < 33 + 15

6 p < 48

now divide both sides by 6 (notice that since 6 is a positive number, the division doesn't change the direction of the inequality)

p < 48/6

p < 8

So we need to highlight on the number line, the line that starts at "8" and goes all the way to the left (to minus infinity), and make sure that at the point "8" you draw an "empty" circle to indicate that the number 8 itself is NOT included in your set of solutions.

Kaitlin's family is planning a trip from WashingtonD.C., to New York City New York City is 227 miles from Washington, D.C.and the family can drive an average of 55mi / h . About how long will the trip take?

Answers

Kaitlin's family's trip from Washington D.C., to New York City of 227 miles at average rate of 55 miles per hour is 4 hours 8 minutes

How to determine the how long the trip will take

information gotten from the question include

Washington D.C., to New York City is 227 miles

Kaitlin's family can drive an average of 55mi / h

Average speed is a function of ratio distance covered with time. this is represented mathematically as

average speed = distance covered / time

55 miles / h = 227 miles / time

time = 227 / 55

time = 4.127 hours

The trip take 4.127 hours

0.127 * 60 = 7.62 ≅ 8 minutes

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Convert the following rectangular equation to polar form.Assume a>0 3x^2+3y^2-4x+2y=0

Answers

The given equation is,

[tex]3x^2+3y^2-4x+2y=0[/tex]

The polar form of the equation can be determined by using the substitution

[tex]\begin{gathered} x=r\cos \theta \\ y=r\sin \theta \end{gathered}[/tex]

using the substitution,

[tex]\begin{gathered} 3(x^2+y^2)-4x+2y=0 \\ 3(r^2\cos ^2\theta+r^2\sin ^2\theta)-4r\cos \theta+2r\sin \theta=0 \\ 3r^2-4rcos\theta+2r\sin \theta=0 \\ r(3r-4\cos \theta+2\sin \theta)=0 \\ r=0\text{ and }(3r-4\cos \theta+2\sin \theta)=0 \\ (3r-4\cos \theta+2\sin \theta)=0 \end{gathered}[/tex]

Thus, the above equation gives the required polar form of the circle.

Solve the equation by identifying the quadratic form. Use a substitute variable(t) and find all real solutions by factoring. Type your answers from smallest to largest. If an answer is not an integer then type it as a decimal rounded to the nearest hundredth. When typing exponents do not use spaces and use the carrot key ^ (press shift and 6). For example, x cubed can be typed as x^3.x^{10}-2x^5+1=0Step 1. Identify the quadratic formLet t= Answer. We now have:t^2-2t+1=0Step 2. FactorFactor this and solve for t to get t=Answer Step 3. Solve for xWe have solved for t now we need to use this value for t to help us solve for x. Revisit step 1 to remind you of the relationship between t and x. Type your real solutions (no extraneous) from smallest to largest.x= Answer

Answers

Given:

[tex]x^{10}-2x^5+1=0[/tex]

Step 1: To identify the quadratic form of the given equation.

[tex]\begin{gathered} x^{10}-2x^5+1=0 \\ (x^5)^2-2x^5+1=0 \\ \text{Put x}^5=t,\text{ it gives} \\ t^2-2t+1=0 \end{gathered}[/tex]

So, t = x²

Step 2: Factor the quadratic equation in step 1.

[tex]\begin{gathered} t^2-2t+1=0 \\ t^2-t-t+1=0 \\ t(t-1)-t(t-1)=0 \\ (t-1)(t-1)=0 \end{gathered}[/tex]

Thus, the factors of the equation is

[tex](t-1)(t-1)=0[/tex]

Step3: solve for x.

[tex]\begin{gathered} (t-1)(t-1)=0 \\ (x^5-1)(x^5-1)=0 \\ \Rightarrow x^5-1=0,x^5-1=0 \\ \Rightarrow x=1 \end{gathered}[/tex]

Answer: x = 1

Write the sequence {15, 31, 47, 63...} as a function A. A(n) = 16(n-1)B. A(n) = 15 + 16nC. A(n) = 15 + 16(n-1)D. 16n

Answers

To find the answer, we need to prove for every sequence as:

Answer A.

If n=1 then:

A(1) = 16(1-1) = 16*0 = 0

Since 0 is not in the sequence so, this is not the answer

Answer B.

If n=1 then:

A(1) = 15 + 16*1 = 31

Since 31 is not the first number of the sequence, this is not the answer

Answer D.

If n=1 then:

16n = 16*1 = 16

Since 16 is not in the sequence so, this is not the answer

Answer C.

If n = 1 then:

A(1) = 15 + 16(1-1) = 15

A(2) = 15 + 16(2-1) = 31

A(3) = 15 + 16(3-1) = 47

A(4) = 15 + 16(4-1) = 63

So, the answer is C

Answer: C. A(n) = 15 + 16(n-1)

During a tropical storm, the temperature decreased from 84° to 63º. Find the percent decrease in temperature during the storm. (a) 33% (b) 25% (c) 40% (d) 75%

Answers

To find the percentage of decrease, first, we divide.

[tex]\frac{63}{84}=0.75[/tex]

This means 63° represents 75% of 84°. In other words, the temperature decreased by 25%.

Hence, the answer is B.

2 ABC Company has a large piece of equipmentthat cost $85,600 when it was first purchased 6years ago. The current value of the equipment is$30,400. What is the average depreciation of theequipment per year?F. $ 5,800G. $ 9,200H. $15,200J. $27,600K. $42,800

Answers

The intial cost of the equipment is C, which is given as 85,600.

The present value is PV, which is given as 30,400.

This simply means the total depreciation over the last 6 years can be derived as;

Depreciation = C - PV

Depreciation = 85600 - 30400

Depreciation = 55200

However, the method of depreciation is not given/specified, and hence the question requires that you calculate the average depreciation per year. That is, the total depreciation would be evenly spread over the 6 year period (which assumes that the depreciation per year is the same figure)

Average depreciation = Total depreciation/6

Average Depreciation = 55200/6

Average Depreciation = 9200

The correct option is option G: $ 9,200

Find each unit price and decide which is the better buy. Assume that we are comparing different sizes of the same brand.Frozen orange juice:$1.57 for 14 ounces$0.57 for 4 ounces----------------------------Find the unit price of a frozen orange juice which costs $1.57 for 14 ounces.$ (blank) per ounce(Type a whole number or a decimal. Round to three decimal places as needed.)Find the unit price of a frozen orange juice which costs $0.57 for 4 ounces.$ (blank) per ounce(Type a whole number or a decimal. Round to three decimal places as needed.)Which is the better buy?A. $1.57 for 14 ouncesB. $0.57 for 4 ounces

Answers

The different sizes of the given brands are

Frozen orange juice:

$1.57 for 14 ounces

$0.57 for 4 ounces

The unit price of a frozen orange juice which costs ​$1.57 for 14 ounces is

1.57/14 = 0.112

The unit price of a frozen orange juice which costs ​$0.57 for 4 ounces is

0.57/4 = 0.1425

The better buy is the size that has the lowest cost per ounce. Looking at our calculations, the lowest cost per ounce is $0.112

Therefore, the frozen orange juice which costs ​$1.57 for 14 ounces is the better buy.

Other Questions
For which pair of triangles would you use ASA to prove the congruence of the two triangles? the client reports to the clinic as ordered by the primary care provider for counseling on weight loss to improve overall health. the client received printed information in the mail to review before the session, and reports having read through it before the appointment. which client statement alerts the nurse to a need for clarification and further education? y = 2x - 4 what is the slope Write a relation consisting of five ordered pairs that satisfies the following conditions. The relation is a function. Switching the x- and y-coordinates of each ordered pair results in a relation that is not a function. Three people are driving their cars in different directions, in an open field. At one point, while they are all driving, they each measure the other drivers velocities. When they compare measurements afterward, they notice that they all got different measurements from each other. Why do their measurements not match? What is noteworthy or memorable about the essays conclusion? (cost of survival) C2H4 + 3O2 > 2CO2 + H2OWhat volume of oxygen at STP is needed to react with 5.75 mol of C2H4 (Show all work and data charts) 3. Trapezoid JKLM with vertices J(-4, 3), K(-2, 7),L(2,7), and M(3, 3) in the line y = 1.what would the reflection coordinates be henry mintzberg argued that emergent strategies . group of answer choices are a mix of deliberate and realized strategies are a mix of deliberate and leadership strategies are a mix of deliberate and sustainability strategies none of the above. find the slope of #1 y = 2x - 3#2 (-2,-4) (-1,-2)#3 y = 1/3x - 4# 4 (4,0) (4,1) Sara spent 35 minutes on math homework and 20 minutes on reading homework. Mia spent a total of 40minutes on reading and math homework. How much longer did Sara spend on her homework than Mia? suppose your friend tells you that light from the nearest star, alpha centauri, requires a time of about 4.37 light-years to reach the earth. what is incorrect about this statement? explain your reasoning L Pretest: Unit 2Question 5 of 21Which of the following represents the factorization of the polynomial functiongraphed below? (Assume it has no constant factor.)55 Conner plans to plow a field in one day. Before lunch he plows 15 acres, which is 30% of the field. Howmany acres will he have to plow after lunch in order to finish the field? Evaluate the function for the following values:f(1) =f(2)=f(3) = From the given proportional relationship, which of the following points lie on the same line? What is the value of x? Enter your answer in the box. x = Sn +ClSnCl4what is the limiting reactant when 15.7 g of tin reacts with 17.4 of chlorine? what mass of tin chloride can be formed? which report is constructed immediately prior to preparing the financial statements with the purpose of demonstrating that the accounts balance? which of the following definitions is correct? an antalgic gait is a limp, which reflects unilateral pain and compensation for that pain. a shuffling gait suggests loss of sensory input or loss of position information. a wide gait suggests hemiplegia or parkinsonism. a slow, narrow-based gait suggests spinal cord injury. a foot drop or slap suggests central ataxia.