The Harlowe school district gives awards to its schools based on overall student attendance. The data for attendance are shown in the table, where Low represents the fewest days attended and High represents the most days attended for a single student.

School Low High Range Mean Median IQR σ
High School A 98 180 82 158 148 55.5 35.2
High School B 105 180 75 145 124 48.5 28.2
High School C 102 180 78 169 151 53.5 31.3

Part A: If the school district wants to award the school that has the most consistent attendance among its students, which high school should it choose and why? Justify your answer mathematically. (5 points)

Part B: If the school district wants to award the school with the highest average attendance, which school should it choose and why? Justify your answer mathematically.

Answers

Answer 1
Part A: Students from high school B is the most consistent, because their standard deviation (σ=28.2) is the smaller than that of A and C. Smaller standard deviation means less variations among the values, or more consistence.

Part B: High school A has the highest average attendance, because it has higher mean (82) than B and C. Mean is mathematically the same as average, total number of days attended by all students divided by the number of students.

Related Questions

A combination lock has a code consisting of 3 numbers, each of which can be 0 to 39, with numbers repeated. Jillian says that there are only 120 possible codes. Is Jillian correct? If not, explain her error.

Answers

Answer:

Jillian is not correct

Jillian has summed up the possible number of codes for each digit instead of multiplying it

Step-by-step explanation:

The lock has a code that consists of 3 number

It is given that the number in the lock code can be used between [tex]0[/tex] to [tex]39[/tex]

Thus, out of total [tex]40[/tex] set of numbers (i.e [tex]0-39[/tex]), the numbers can be repeated.

This means for all three code numbers the opportunity of choosing a number is same  i.e. between  [tex]0-39[/tex]

Now, the first digit of the code can be any number between  [tex]0-39[/tex]

Like wise the second and third  digit of the code can be any number between  [tex]0-39[/tex]

Thus. the possible number of codes with repetition allowed are

[tex]40 * 40* 40\\64000[/tex]

Hence, Jillian is not correct

Jillian has summed up the possible number of codes for each digit instead of multiplying it

Answer:

No, Jillian is not correct. According to the fundamental counting principle, the total number of possible codes would be (40)(40)(40) = 64,000. Jillian multiplied by 3 instead of multiplying the number of possibilities for each digit.

Step-by-step explanation:

Which is a disadvantage of withdrawing more money than is available in a checking account?

Answers

One disadvantage is most banks charge an overdraft fee once you take out more money than what is available.

A disadvantage of withdrawing more than you have in your account is you will be charged an overdraft fee.

What is an Overdraft Fee?

An overdraft fee can be described as the fee your bank charges you when you make a withdrawal from your account beyond what you have in it.

An overdraft fee is one of the disadvantages of withdrawing more money than you have in your account..

Learn more about overdraft fee on:

https://brainly.com/question/25532516

#SPJ2

What is the value of 4.05 divide by 1.5?

Answers

The value of the expression 4.05 / 1.5 using the division property will be 2.7.

What is Algebra?

Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.

The numbers are given below.

4.05 and 1.5

Then the division of the numbers 4.05 and 1.5 will be given by putting a division sign between them. Then we have

⇒ 4.05 / 1.5

⇒ 2.7

The value of the expression 4.05 / 1.5 using the division property will be 2.7.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ3

Final answer:

The result of dividing 4.05 by 1.5 is 2.7.

Explanation:

The value of 4.05 divided by 1.5 can be calculated by simply performing the division.

When you divide 4.05 by 1.5, you get 2.7.

This is because 4.05 is equivalent to 405 tenths, and when you divide 405 by 15 (since 1.5 is the same as 15 tenths), you end up with 27, or 2.7 when you adjust for the decimal placement.

Find the sum of the geometric series with a1 = 7, r = 2, And n = 14

Answers

Final answer:

The sum of the geometric series with a1 = 7, r = 2, and n = 14 is -327661.

Explanation:

The question is asking for the sum of a geometric series. In mathematics, the sum (S) of a geometric series is determined using the formula S = a1 * (1 - r^n) / (1 - r), where a1 is the first term, r is the common ratio, and n is the number of terms.

In the provided geometric series, a1 = 7, r = 2, and n = 14. Substituting these values into the formula gives us S = 7 * (1 - 2^14) / (1 - 2). After performing the calculations, the sum of the geometric series is -327661.

Learn more about Sum of Geometric Series here:

https://brainly.com/question/30264021

#SPJ12

Final answer:

The sum of the first 14 terms of the geometric series with the first term (a1) = 7, common ratio (r) = 2, is 114,691.

Explanation:

Given the first term of the geometric series (a1) = 7, the common ratio (r) = 2, and the number of terms (n) = 14, we would like to find the sum of this series.  Using the formula for the sum of a geometric series, S = a1 * (1 - r^n) / (1 - r), substituting the given values, we get:

S = 7 * (1 - 2^14) / (1 - 2)

This simplifies to S = 7 * ( -16383) / -1, which results in S = 114,691. So, the sum of the first 14 terms of this geometric series is 114,691.

Learn more about Geometric Series here:

https://brainly.com/question/30264021

#SPJ12

The scale on a map is 1 cm for every 400 km. If Maine and Japan are 22 cm apart on the map, what is the distance between Maine and Japan?

Answers

Essentially, you must multiply 22 by 400. You get 8800 km apart for your answer.

Sherri uses her credit card to pay for new transmission that ended up totaling $1,050.25. She can pay off up to $400 a month. The card has an annual rate of 18.5%. How much will she pay in interest?

Answers

Nice practical question.
Please tell Sherri that it is less expensive to get a bank loan than to use the credit card.

Principal, P=1050.25
interest rate, i = 18.5%/12 per month
Monthly Repayment, A = 400

We need to calculate the monthly balance to know how many months it takes her to pay off the debit, and hence the interest charge.

As usual, we assume the debit is made at the beginning of the month, and the $400 paid at the end of the month.  In actual practice, all these debits and credits are calculated on a daily balance basis, and interest accumulated at the end of the month.

The monthly interest is calculated as the balance from last month multiplied by the interest rate, 18.5%/12.  The amount owing (at the end of the month)
F=Balance(1+0.185/12)

month    Owing    Paid    Balance    Calculation of owing next month
0           1050.25     0      1050.25     1050.25*(1+0.185/12)=1066.44
1            1066.44  400      666.44     666.44(1+0.185/12)=676.72
2              676.72  400      276.72     276.72(1+0.185/12)=280.98
3              280.98  290.98    ................... loan paid off

Total interest paid = 400+400+290.98 - 1050.25 = 40.73

Sherri will pay approximately $30.69 in interest on her credit card debt of $1,050.25 with an 18.5% annual interest rate, assuming she makes payments of $400 per month and the interest compounds monthly.

To calculate how much interest Sherri will pay on her credit card debt, we need to know how the interest compounds. Typically, credit card interest is compounded daily, but since we do not have the compound frequency, we'll use a simplified approach to estimate the interest assuming the interest is compounded monthly.

The annual interest rate is 18.5%, which translates to a monthly rate of 18.5%/12 = 1.54%. Since Sherri can pay $400 a month, we can calculate the time it will take for her to pay off the principal without considering interest. This gives us $1,050.25 / $400 < 3 months.

Since the debt would be paid off in less than three months, we can estimate the interest for each month and sum it up:

First month interest: $1,050.25 < 0.0154 = $16.17Second month principal: $1,050.25 - $400 + $16.17 = $666.42Second month interest: $666.42 < 0.0154 = $10.26Third month principal: $666.42 - $400 + $10.26 = $276.68Third month interest: $276.68 < 0.0154 = $4.26

Adding up these interest payments gives us approximately:
$16.17 + $10.26 + $4.26 = $30.69 in interest.

Please note, this is an estimation that assumes a linear payment model. Actual interest charges could be higher due to daily compounding.

how to solve -2x+y=7, 3y=6x+4

Answers

Consider, pls, this option.
To the additional, see the attached graph for this system.

Rearrange the formula A = P + Prt for t.

Answers

Given that: 
A=P+Prt
Solving for t.
Factor out P from the right side of the equation.
A=P(1+rt)
Divide both sides by P.
A/P= 1+rt
Subtract 1 from both sides
A/P-1=rt
Divide both sides by r.
(A/P) / r - 1/r= t
or
t= (A/P) / r - 1/r
t= A/Pr - 1/r
t= (A-P)/r

Answer: t= (A-P)/rP
Divide both side by p+pr . And T should be t= A over p+pr

A bucket is put under a leaking ceiling. the amount of water in the bucket doubles every minute. after 8 minutes, the bucket is full. after how many minutes is the bucket half full? show work

Answers

This question is more of an Intelligence Question rather than a Mathematics Question.

The water in the bucket doubles every minute. After 8 minutes the bucket is full. This means a minute earlier (i.e. at 7th minute) the water in bucket was half as compared to water in bucket after 8 minute.

So, if after 8 minutes bucket is full, after 7 minutes bucket will be half full. So the answer is 7 minutes.

Ari thinks the perfect milkshake has 3 ounces of caramel for every 5 scoops of ice cream. Freeze Zone makes batches of milkshakes with 6 ounces of caramel and 8 scoops of ice cream. What will Ari think about Freeze Zone's milkshakes?

Answers

Answer: Ari thinks amount of caramel is more for perfect milkshake as there is only need for 4.8 ounces of caramel but Freeze Zone is using 6 ounces of caramel.

Step-by-step explanation:

Since we have given that

Ari has 3 ounces of caramel for every 5 scoops of ice-cream .

Freeze Zone makes batches of milkshakes with 6 ounces of caramel and 8 scoops of ice-cream.

According to Ari,

For every 5 scoops of ice-cream, he needs 3 ounces of caramel

For every 1 scoop of ice-cream, he needs

[tex]\frac{3}{5}\text{ ounces of caramel}[/tex]

For every 8 scoops of ice-cream, he needs

[tex]\frac{3}{5}\times 8=\frac{24}{5}=4.8\text{ ounces of caramel}[/tex]

So, Ari thinks amount of caramel is more for perfect milkshake as there is only need for 4.8 ounces of caramel but Freeze Zone is using 6 ounces of caramel.


Final answer:

Ari will think Freeze Zone's milkshakes have the perfect amount of caramel.

Explanation:

To determine what Ari will think about Freeze Zone's milkshakes, we need to compare the ratio of caramel to ice cream in Ari's perfect milkshake to the ratio in Freeze Zone's milkshakes.

Ari's perfect milkshake has 3 ounces of caramel for every 5 scoops of ice cream, so the ratio is 3:5.

Freeze Zone's milkshakes have 6 ounces of caramel for every 8 scoops of ice cream, so the ratio is 6:8.

To simplify both ratios, we can divide the numbers by their greatest common divisor. The GCD of 3 and 5 is 1, so the simplified ratio for Ari's perfect milkshake is 3:5. The GCD of 6 and 8 is 2, so the simplified ratio for Freeze Zone's milkshakes is 3:4.

Since both ratios are the same, we can conclude that Ari will think Freeze Zone's milkshakes have the perfect amount of caramel.

Translated these questions to a equation:
6 more than 9 times a number x is -12
the quotient of a number t and 7, plus 2, is -4

Answers

6 more than 9 times a number x is -12...
6 + 9x = -12

the quotient of a number t and 7, plus 2, is -4 ...
(t/7)+ 2 = -4

Hope this helps :)

Ruben has two congruent wooden dowels. He cuts one dowel in two in order to have three pieces to make a triangle. Explain why, despite having three sides, Ruben will not be able to make a triangle with his three pieces.

Answers

Let the two original dowels be of length x.
After cutting one of the dowels, the lengths will then be
x/2, x/2,x.

He cannot form a triangle using the three dowels because the triangle inequality requires that the sum of the two shorter sides of a triangle must be greater than the third side.  Here x/2+x/2=x equals the third side, so a triangle cannot be formed.

By the way, if he cuts the long dowel a little shorter, he will then be able to make a triangle.

Answer:

The dowels are congruent, so they have the same length. If one is cut, the sum of the lengths of the two cut pieces will equal the length of the longer piece. If the pieces are to make a triangle, the sum of the lengths of the two cut pieces must be greater than the length of the third piece.

Step-by-step explanation:

After losing 30 pounds, an individual weigh 110 pound more than one-third his previous weight

Answers

Write an equation based on the problem
For an instance, x is the previous weight
"After losing 30 pounds" could be written as (x - 30)
"110 pounds more than one-third his previous" could be written as (110 + [tex] \frac{1}{3} [/tex]x)

Join the expression and solve for x
x - 30 = 110 + [tex] \frac{1}{3} [/tex]x

Move 1/3 x to the left side, and the constant of 30 to the right side, so like terms will be on equal side
x - [tex] \frac{1}{3} [/tex]x = 110 + 30

Equalize the denominators of the fractions
[tex] \frac{3}{3} [/tex]x - [tex] \frac{1}{3} [/tex]x = 140
[tex] \frac{2}{3} [/tex] = 140
x = 140 × [tex] \frac{3}{2} [/tex]
x = 420/2
x = 210

The previous weight was 210 pounds
The new weight is 210 - 30 = 180 pounds

Please help me with questions 24

Answers

Answer: B) quadrant IV; no

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

After the translation, the triangle stays in quadrant IV. It then reflects over to quadrant I, only to rotate back to quadrant IV again. The size and shape does not change. These transformations are known as "rigid transformations" which preserve segment lengths (aka keep them the same). So the final triangle is congruent to the original triangle. All that has happened is that it has moved around.

A bond is a small, interest-bearing loan made by an individual to a corporate or government entity.


Please select the best answer from the choices provided

T
F

Answers

the answer to this question is T

Answer: TRUE

Step-by-step explanation:

Use Cavalieri’s Principle to calculate the exact volume of an oblique cylinder with a radius of 10 meters and a height of 11 meters

Answers

recall that Cavalieri's Principle only says that if an oblique cylinder, like in this case, has the same cross-section all the way up, it has the same volume as a non-oblique cylinder.

so, the volume of a cylinder is V = πr²h.

now, we know the radius is 10, and the height is 11, so then V = π10²*11 is its volume.

The exact volume of the oblique cylinder with a radius of 10 meters and a height of 11 meters is 110π cubic meters.

To calculate the exact volume of an oblique cylinder using Cavalieri's Principle, follow these steps:

1. Consider a right cylinder with the same base and height as the oblique cylinder. The volume of the right cylinder is given by the formula V = πr^2h, where r is the radius and h is the height.

2. Since the oblique cylinder and the right cylinder have the same base and height, their volumes are equal according to Cavalieri's Principle.

3. The formula for the volume of a right cylinder can be applied to the oblique cylinder, giving the volume as V = πr^2h.

4. Substituting the values of the radius (r = 10 meters) and height (h = 11 meters) into the formula gives V = π(10)^2(11) = 110π cubic meters.

5. Therefore, the exact volume of the oblique cylinder with a radius of 10 meters and a height of 11 meters is 110π cubic meters.

HELP ME PLEASE! How is the graph of mc027-1.jpg related to its parent function, mc027-2.jpg?

Answers

We will try to approach it generally. If we have a function y=f(x) and we have then y=f(2x), then the graph of the function will be horizontally compressed. If we take f(x/2), the graph of the function will be dilated. (To get horizontal shifts, we need f(x+a), which is not the case here; for example [tex] \sqrt{x+4} [/tex] is horizontally shifted relative to its parent function). If we consider -y=f(x), then the graph of this new function is the graph of the parent function flipped along the x-axis. If we consider y=f(-x) (which is the case here, since [tex] \sqrt{-x} = \sqrt{(-x)} [/tex]) we have that the graph of the new function is the same as the old graph, just flipped along the y-axis. Each of those transformations is independent; combining our observations we see that the last answer is the correct one.

The graph of [tex]y = \sqrt{-2x[/tex] relates to its parent function as a result of (d) horizontal compression by a factor of 2, and a reflection across the y-axis

What is a function transformation?

A function transformation involves changing the form or equation of a function to another through reflection, dilation, translation or rotation

How to determine the function transformation

The parent function is given as:

[tex]y = \sqrt x[/tex]

Compress the function horizontally by a factor of 2, using the following rule

[tex](x,y) \to (2x,y)[/tex]

So, we have:

[tex]y = \sqrt {2x[/tex]

Next, reflect the function over the y-axis, using the following rule

[tex](x,y) \to (-x,y)[/tex]

So, we have:

[tex]y = \sqrt {-2x[/tex]

Hence, the function transformation is (d)

Read more about function transformation at:

https://brainly.com/question/1548871

Elijah is going to spin a spinner that goes to 4 180 times.He predicts that 60 of those spins will result in the spinner landing on the section labeled 3. Based on the theoretical probability, which best describes Elijah’s prediction?

Answers

The spinner will probably land on 3

Answer:

A. Elijah’s prediction is exact because 180 divided by 3 = 60.

Step-by-step explanation:

A bathtub is filling with water at a rate of 60 liters per minute.How many liters of water are in the bathtub after t minutes?

Answers

how many minutes... you never added that... whatever it is just mutiply 60 by however many minuets it is and you have your answer

Answer:

[tex]60t\text{ Liters}[/tex]

Step-by-step explanation:

We have been given that a bathtub is filling with water at a rate of 60 liters per minute. We are asked to find the water filled in the bathtub after t minutes.

To find the number of liters of water filled in tub after t minutes we will multiply rate of water filling by time.

[tex]\frac{60\text{ Liters}}{\text{Minute}}\times t\text{ minutes}[/tex]

[tex]60\text{ Liters}\times t[/tex]

[tex]60\times t\text{ Liters}[/tex]

[tex]60t\text{ Liters}[/tex]

Therefore, there were [tex]60t\text{ Liters}[/tex] of water in the bathtub after t minutes.

The measure of angle E, the angle of elevation from point A to point B, is 5(x-2). The measure of angle D, the angle of depression from point B to point A, is (x+14). Find the measure of each angle.

Answers

The angle of elevation and the angle of depression are the same. (They are alternate interior angles between the parallel lines of the ground and "horizontal.")
  5(x -2) = x +14
  5x -10 = x +14 . . . . . . . eliminate parentheses
  4x = 24 . . . . . . . . . . . . add 10-x
  x = 6

The angles of elevation and depression are both (6+14)° = 20°.

Answer:

measure of angle E equals 20 degrees, measure of angle D equals 20 degrees

1/6 of 3 yards=______feet

I know I just ask one but u get 17 points so plz help I'm stuck

Answers

In this question, first we have to see how many feets are in 1 yard .

And there are 3 feets in 1 yard.

So in 3 yards, there are 9 feets

Therefore we will get

[tex] \frac{1}{6}*3 yards= \frac{1}{6} * 9 feet = 1.5 feet [/tex]

Therefore the answer of the given question is 1.5 feet.

Final answer:

To find the equivalent feet for 1/6 of 3 yards, multiply 1/6 by 3 feet per yard to get 1.5 feet.

Explanation:

1/6 of 3 yards=_____feet

Step 1: 1 yard is equal to 3 feet.

Step 2: To find the equivalent feet for 1/6 of 3 yards, calculate 1/6 x 3 = 0.5 x 3 = 1.5 feet.

Which expression represents the sixth term in the binomial expansion of (5y+3)^10

Answers

[tex]\bf \textit{the coefficient and values of an expanded term}\\\\ (5y-3)^{10} \qquad \qquad \begin{array}{llll} expansion\\ for\\ 6^{th}~term \end{array} \quad \begin{cases} \stackrel{term}{k}=0..10\\ \stackrel{exponent}{10}\\ -----\\ k=\stackrel{6^{th}~term}{5}\\ n=10 \end{cases}[/tex]

[tex]\bf \stackrel{coefficient}{\left(\frac{n!}{k!(n-k)!}\right)} \qquad \stackrel{\stackrel{first~term}{factor}}{\left( a^{n-k} \right)} \qquad \stackrel{\stackrel{second~term}{factor}}{\left( b^k \right)}[/tex]

[tex]\bf \stackrel{coefficient}{\left(\frac{10!}{5!(10-5)!}\right)} \qquad \stackrel{\stackrel{first~term}{factor}}{\left( (5y)^{10-5} \right)} \qquad \stackrel{\stackrel{second~term}{factor}}{\left( (-3)^5 \right)} \\\\\\ 252(5y)^5(-3)^5\implies 252(5^5y^5)(-3)^5\implies -252(3125y^5)(243) \\\\\\ -191362500y^5[/tex]

Answer:

bb

Step-by-step explanation:

△ABC is reflected to form​​ ​ △A′B′C′ ​. The vertices of △ABC are A(3, 1) , B(1, 5) , and C(6, 9) . The vertices of △A′B′C′ are A′(−1, −3) , B′(−5, −1) , and C′(−9, −6) . Which reflection results in the transformation of ​ △ABC ​​ to ​ △A′B′C′ ​​?

Answers

The reflection of the triangle across  y = -x is the new triangle.

Answer:

that would be a reflection across the y axis resulting in a -x

Step-by-step explanation:

In an office, the number of chairs, c , is equal to five more than twice the number of desks, d. Which equation matches the information?

Answers

c (unknown)
d (unknown)
chair is 5 more than twice the number of desks
So if I'm not wrong
The answer should be

c = 5+2d

Please correct me if I'm wrong :D

Final answer:

The algebraic equation that represents the relationship between the number of chairs, c, and the number of desks, d, in an office, where the number of chairs is five more than twice the number of desks, is c = 2d + 5.

Explanation:

The student's question pertains to creating an algebraic equation based on a given word problem describing the relationship between the number of chairs (c) and desks (d) in an office. The problem states that 'the number of chairs, c, is equal to five more than twice the number of desks, d'.

To formulate the equation that illustrates this relationship, we apply the information provided:

Identify the number of chairs as c.Determine that c is 'five more than' something, which suggests addition.Recognize that 'twice the number of desks' means 2 times d, or 2d.Combine the above to conclude that the 'five more than' is added to the 'twice the number of desks', which gives us the equation c = 2d + 5.

how many radians are in a semicircle? a.2π, b.π, c.π/2, d.3π/2

Answers

Final answer:

A semicircle, which is half of a full circle, consists of half the total amount of radians in a full circle. Since a full circle has 2π radians, a semicircle contains π radians. Therefore, the correct answer is b.π.

Explanation:

To answer your question, let's review the structure of a circle.It is divided by its radius into 360 degrees or by its diameter into a full rotation of 2π radians. Therefore, a semicircle, which is half of a circle, must consist of half the total amount of radians in a full circle.

In a full circle, there are radians. Hence, in a semicircle, which is exactly half of the full circle, there would be 2π/2. This simplifies to π radians.

So, the correct answer to your question 'How many radians are in a semicircle?' is b.π.

Learn more about Radians in a Semicircle here:

https://brainly.com/question/11521023

#SPJ12

Point R is located at (11,5).point S is located at (-1,5). what is the distance between point R and point S

Answers

We can solve this using the distance formula:

d=√(x2-x1)² + (y2-y1)²
d=√(-1-11)² + (5-5)²
d=√(-12)² + 0
d=12

What is the solution to 2log9(x)=log^9(8)+log9(x-2)

Answers

2log9(x)=log^9(8)+log9(x-2)

Log₉x² = log₉8 + log₉(x-2)


Log₉x² = log₉(8×(x-2))

Log₉x² = log₉8x-16

Log₉x² - log₉8x-16 = 0

Log₉(x²/(8x-16)) = 0

x²/(8x-16) = 9°

x² = 1 × 8x-16

x²-8x+16 = 0

x²-4x-4x+16 = 0

x(x-4)-4(x-4) = 0

(x-4)(x-4) =0

Therefore x = 4.....

Answer:

C. x=4

Step-by-step explanation:

Let u = <6, -9>, v = <1, -4>. Find u - v.

A) <5, -5>
B) <10, -10>
C) <15, 5>
D) <7, -13>

Answers

To subtract vectors, subtract the x coordinates together. Do the same for the y coordinates as well.

In terms of a formula if we had the vectors u and v such that
u = <a,b>
v = <c,d>
then 
u - v = <a-c, b-d>

Let's use that to get...
u - v = <6,-9> - <1,-4>
u - v = <6-1,-9-(-4)>
u - v = <6-1,-9+4>
u - v = <5,-5>
----------------------
Answer: A) <5,-5>

Final answer:

To find the difference between vectors u and v, subtract the components of v from the corresponding components of u, resulting in the vector A) <5, -5>.

Explanation:

The question involves finding the difference of two vectors u and v. To find the vector u - v, you subtract each corresponding component of vector v from vector u.

For the first component, subtract the x-component of v (1) from the x-component of u (6), which equals 5.For the second component, subtract the y-component of v (-4) from the y-component of u (-9), which equals -5.

Thus, the vector u - v is A) <5, -5>.

What is the slope of a line that is parallel to to the one shown? (-3, 2) (0, -2)

Answers

(-3, 2) (0, -2)
slope = (2 + 2)/(-3 - 0) = -4/3
parallel lines have same slope

so answer is -4/3

A rectangular prism has a length of 4 1/2 millimeters, a width of 4 1/2 millimeters, and a height of 6 millimeters.

Sally has a storage container for the prism that has a volume of 143 cubic millimeters.

What is the difference between the volume of the prism and the volume of the storage container?

Help Please?

Answers

Volume of a rectangular prism is found by multiplying the length by the width by the height.  The volume of our given prism would be
V = (4 1/2)(4 1/2)(6)
Converting the fractions to mixed numbers we have
V = (9/2)(9/2)(6/1) = 486/4 = 121.5

The storage container has a volume of 143, so the difference is 143 - 121.5 = 21.5 cubic mm.

Answer:

21 1/2

Step-by-step explanation:

Other Questions
In the figure, point B is the midpoint of AC. Use the figure to answer the questions.(a)Jeremy says that ABD is congruent to CBD by the SAS congruence postulate. Do you agree or disagree? Explain.(b)Suppose it is also known that AD is congruent to CD. Which postulate or theorem can be used to prove that ABD is congruent to CBD? Justify your answer. What percentage of the subjects in the asch experiment were "independents" who refused to give the wrong answer? The first person who answers correctly gets thanks and braniy!1. The figures shown are similar. What is the scale factor? [Image one] 2. The figures shown are similar. What is the scale factor? [Image 2] A therapist may use _____ to help john identify rewards that may be encouraging his negative behavior. the goal of the therapy is to change john's behavior for the better. Which words best complete this conversation? Roberto: Eric, trajiste el ________ y la __________? Eric: Claro! Si no, dormira con mucho frio. What is mKNL? Enter your answer in the box. An inheritance of $30,000 will be divided between sisters hannah and taylor. if hannah is to receive $4000 less than taylor, how much does each sister receive? Answer Quick!!!! 20 points The four estates of France were the: (answer the "everyone else" category with two responses) Sallie smith 42 years of age is newly diagnosed with type 2 diabetes. during the patient education, the patient asks the nurse, "what should i do if i am sick and can't eat; should i still take my medicine for the diabetes?" (learning objective 10) a. what management strategies should the nurse provide the patient to deal with "sick days"? How does the chemical formula for the nitrite ion differ from the chemical formula for the nitrate ion? Which sentence is punctuated correctly? A) The statue of Saint Teresa, of Avila, attracts thousands of visitors each day. Eliminate B) The statue sculpted by Henry Moore dated 1942 sold for 3 millions dollars. C) The sculptures created by Michelangelo are the pinnacle of artistry, creativity, and genius. D) All of the statutes, in the school courtyard, were defaced by vandals. What chemical property differentiates sulfurous acid from sulfuric acid? In a government, states function independently of one another What features did the british and dutch east india companies share? What did the Nineteenth Amendment accomplish? It gave Indians the right of citizenship. It gave women the right to vote. It gave men of all colors the right to vote. It gave the rights of citizenship to blacks. According to an image in your lesson, the typical floor plan for a Christian basilica is similar to Please help!!!What sum of money will yield a simple interest of Rs.1155 in 3 years 6 months at 11% per annum . What is the best course of action when you find that you agree with the information in a counterclaim to your central argument? A.Leave out information that doesn't support your claim. B.Provide more evidence to support your original claim. C.Modify your own claim to reflect the new information. D.Find a new topic that you agree with completely. How to write "There are four parking spots on campus that may be used only by Nobel Prize winning faculty." this sentence correctly? scientists classify organisms in groups based on:|.evolutionary phylogeny.II.DNA analysis.III.embryology.IV.morphology.