Quadrilateral PQRS is plotted in the coordinate plane. The quadrilateral is dilated by a scale factor of 2/3 to create quadrilateral P’Q’R’S’. Write three statements that compare quadrilateral PQRS and quadrilateral P’Q’R’S’.

Quadrilateral PQRS Is Plotted In The Coordinate Plane. The Quadrilateral Is Dilated By A Scale Factor

Answers

Answer 1

Answer:

They are similar to each other.They are not congruent.the surface area is different for each one.

Step-by-step explanation:

Q -> Q'    (-3,4) -> (-2,2.666666)

              -3*2/3=-2      \(4*\frac{2}{3} = 2\frac{2}{3}\)

P -> P'    (-5,1) -> (-3.333333, .666666

              \(-5 *\frac{2}{3} = -3\frac{1}{3}\)         \(1*\frac{2}{3} = \frac{2}{3}\)

R -> R'    (-3,-3) -> (-2,-2)

               \(-3*\frac23 = -2\)

S -> S'     (-5,-1) -> (-3.333333,-.666666)

              \(-5*\frac23 = -3\frac13\)   \(-1 *\frac23 = -\frac23\)


Related Questions

The slope of the line in the graph is ___.
(If your answer is a fraction, write it in simplified terms.)

The slope of the line in the graph is ___. (If your answer is a fraction, write it in simplified terms.)

Answers


3/2 OR it can be written as 1 1/2
Rise/Run so in this case it would be 3/2 in the simplest terms

Can someone please help me with this problem..and explain it. Don't mind the numbers and dots i'm pretty sure they're wrong

Can someone please help me with this problem..and explain it. Don't mind the numbers and dots i'm pretty

Answers

Answer:

59°

Step-by-step explanation:

The maximum temperature is just the y-coordinate of the uppermost point on the graph, which is (6 hr, 59°). Hence, it is 59°.

The answer is 59 …. Anymore questions?

Marita spent $13.0 at the grocery store. She bought pears, kiwis and pineaples. Pears cost $0.50 each, pineapples cost $1.50 each, and kiwis are $0.30 each. how many of each kind of fruit did she buy if she bought 9 more pears than pineapples and 2 fewer kiwis than pears?

Answers

Answer:

◘ 12 pears

◘ 3 pineapples

◘ 10 kiwis

Step-by-step explanation:

Let \(x\) be the number of pears bought.

Therefore:

• number of pears = \(x\)

• number of pineapples = \(x - 9\)

• number of kiwis = \(x - 2\)

We know that the total cost was $13.50.

This means if she bought \(x\) pears at $0.50 each, \((x - 9)\) pineapples at $1.50 each, and \((x -2)\) kiwis at $0.30 each, the total would be $13.50.

∴  \([x \times 0.50] + [(x-9) \times 1.5] + [(x-2) \times 0.3] = 13.50\)

Expanding and multiplying:

⇒ \(0.5 x + 1.5x - 13.5 + 0.3x - 0.6 = 13.5\)

Collect like terms:

⇒ \(2.3x -14.1 = 13.5\)

Solve for \(x\):

⇒ \(2.3x = 13.5 + 14.1\)

⇒ \(2.3 x = 27.6\)

⇒ \(x = 27.6 \div 2.3\)

⇒ \(x = \bf 12\)

Therefore, she bought:

12 pears

•  \(x - 9\) = 12 - 9 = 3 pineapples

• \(x - 2\) = 12 - 2 = 10 kiwis

Marita bought 12 pears, 3 pineapples and 10 kiwis.

What are Arithmetic operations?

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

Let x the number of pears bought,

y the number of pineapples bought,

z the number of kiwis bought,

Given that, Marita bought 9 more pears than pineapples and 2 fewer kiwis than pears,

y + 9 = x

y = x -9 and

z + 2 = x

z = x - 2

We know that the total cost was $13.50.

This means if she bought  pears at $0.50 each,  pineapples at $1.50 each, and  kiwis at $0.30 each, the total would be $13.50.

∴  0.50x + 1.50y+ 0.30z = 13.50

Substitute the values of y and z in equation,

⇒ 0.50x + 1.50(x -9)+ 0.30(x - 2) = 13.50

Expanding and multiplying terms in equation,

⇒  0.50x + 1.50x -13.50+ 0.30x - 0.60 = 13.50

Rearrange the like terms and apply the arithmetic operation

⇒ 2.3x - 14.1 = 13.50

⇒ 2.3x = 13.50 + 14.1

⇒ 2.3x = 27.6

⇒ x = 27.6/2.3

x = 12

Therefore, the number of pears bought = 12

So, the number of pineapples bought = 12 - 9 = 3

And the number of kiwis bought = = 12 - 2 = 10

Hence, Marita bought 12 pears, 3 pineapples and 10 kiwis.

Learn more about Arithmetic operations here:

brainly.com/question/25834626

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NEED HELP ASAP Match each set of information about a circle with the area of that circle.

Drag and drop the card to match the information.

NEED HELP ASAP Match each set of information about a circle with the area of that circle.Drag and drop

Answers

Answer:

the first one is A The second on C the third one D and last one B

Step-by-step explanation:

1.A
2.C
3.D
4.D

Hope this helps

Which inequality statement describes the two numbers: -13 and a
number 28 units to the right of -13?
A. -13 < 15 B. -13 < 28 C. 15 < -13 D. 28 < -13

Answers

Answer:

It is A because if you add -13 and 28 together you would get 15

Step-by-step explanation:

Give me brainliest

please help me i need it.

please help me i need it.

Answers

Answer:

answer is 3/5

Step-by-step explanation:

The to your question is 3/5

Two data sets are summarized in the box plots shown

Two data sets are summarized in the box plots shown

Answers

A and D

let me know if you want an explanation its a lot to type

Please help with this equation :) I will give 58 points and I will give brainliest.

Please help with this equation :) I will give 58 points and I will give brainliest.

Answers

3x + 4

2x+3 + x+1 = 3x+4

X technically is 1x but we assume the 1 is there so it isn’t there on paper

Answer: C

Step-by-step explanation: If you add both expressions together you get 3x+4 but then because it would be on both sides of the rectangle it would be times 2 of that expression so 3x+4 times two would be 6x+8

If the relationships below are given in the form (input, output), which pairing always describes a function? (a person’s age in years, that same person’s height in inches) (a person’s weight in pounds, that same person’s height in inches) (a person’s height in centimeters, that same person’s height in inches) (a person’s telephone number, that same person’s height in inches)

Answers

Answer:

A function is a mathematical relation in which each input (domain value) is associated with exactly one output (range value). In other words, for a relation to be a function, each input can have only one corresponding output. Let's analyze the given pairings:

(a person’s age in years, that same person’s height in inches) - This can be a function because one person's age in years should correspond to a single height in inches.

(a person’s weight in pounds, that same person’s height in inches) - This can also be a function because one person's weight in pounds should correspond to a single height in inches.

(a person’s height in centimeters, that same person’s height in inches) - This can be a function because one person's height in centimeters should correspond to a single height in inches.

(a person’s telephone number, that same person’s height in inches) - This may not necessarily be a function. It's possible for two different people to have the same height in inches but different telephone numbers.

So, the pairings that always describe a function are:

(a person’s age in years, that same person’s height in inches)

(a person’s weight in pounds, that same person’s height in inches)

(a person’s height in centimeters, that same person’s height in inches)

These three pairings meet the criteria of a function, where each input corresponds to a unique output.

The pairing that always describes a function is option C. (a person’s height in centimeters, that same person’s height in inches)

How did we arrive at this assertion?

A pairing describes a function when each unique input (domain element) is associated with exactly one unique output (range element). In other words, there should be no ambiguity or multiple outputs for a single input. Let's analyze the given pairings:

1. (a person’s age in years, that same person’s height in inches): This pairing may not always describe a function because multiple people can have the same age, but they might have different heights. So, there can be multiple outputs for the same input (age).

2. (a person’s weight in pounds, that same person’s height in inches): Similar to the first pairing, this may not always describe a function because different people can have the same weight but different heights.

3. (a person’s height in centimeters, that same person’s height in inches): This pairing describes a function because for each unique height in centimeters, there is only one corresponding height in inches.

4. (a person’s telephone number, that same person’s height in inches): This pairing may not always describe a function because multiple people can have the same telephone number, but they might have different heights. So, there can be multiple outputs for the same input (telephone number).

So, the pairing that always describes a function is: (a person’s height in centimeters, that same person’s height in inches)

learn more about function describing pairs: https://brainly.com/question/31919824

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on ixl and these questions keep coming up.

on ixl and these questions keep coming up.

Answers

Answer:

15.9

Step-by-step explanation:

Since the volume of a cube is equal to length*width*height, and we know that in this case length, width, and height are all equal, since it is a cube, all you need to do is create an equation like this:

4019.679 = x^3

x is the side length.

15.9*15.9*15.9, 15.9^3.

Answer:15.90Explanation:I don't know I just did simple division

how many solutions does 4x - 2 = 3x - 2 have
1) no solution
2) one solution
3) infinitely many solutions

Answers

Answer:

2

Step-by-step explanation:

c) A shopkeeper made a loss of Rs 20 when he sold a bag at 20% discount. If he had sold it at 10% discount, he would have gained 8%. Find the marked price of the bag.
help!!​

Answers

Answer: Marked price Rs. 600

Step-by-step explanation:

Let M be the marked price

1) When shop keeper sold at 20% discount, ie. SP = 0.8M

CP - SP = 20

CP = 20 + SP

CP = 20 + 0.8M

2) When shopkeeper sells at 8% discount, he makes a profit of 10%

SP = 0.9M/1.08

Equating 1 and 2, we get

20 + 0.8M = 0.9M/1.08

21.6 + 0.864M = 0.9M

0.036 M = 21.6

M = 21.6 / 0 036

M = 600

━━━━━━━━━━━━━━━━━━━━━━━━━

\(\bf\Huge\red{\mid{\overline{\underline{ ANSWER }}}\mid } \)

━━━━━━━━━━━━━━━━━━━━━━━━━

\(\Large\fbox{\color{purple}{QUESTION}}\)

A shopkeeper made a loss of Rs 20 when he sold a bag at 20% discount. If he had sold it at 10% discount, he would have gained 8%. Find the marked price of the bag.

━━━━━━━━━━━━━━━━━━━━━━━━━

\(\Large\fbox{\color{purple}{ SOLUTION }}\)

let M, S and C be the mark price, selling price & cost price respectively.

1) when shopkeeper sells at 20% discount then he suffers a loss of rupees 20 then we have :-

\(s = ( 1 - \frac{20}{100} ) \times m = 0.8m \\ \\ and \: c - s = 20\)

C = 20 + 0.8 m ------------- eq 1

2) when shopkeeper sells at 20% discount then he makes a profit of 8% then we have

\(s = ( 1 - \frac{10}{100} ) \times m = 0.9m \\ \\ and \\ \\ s = ( 1 + \frac{8}{100} ) \times c = \: \frac{0.9m}{1.08} \)

since the cost price of bag doesn't change and equating 1 and 2 we get

\(20 + 0.8m = \frac{0.9m}{1.08} \\ \\ 21.6 + 0.864m \: = 0.9m \\ \\ 0.036m \: = 21.6 \\ \\ m \: = 600\)

hence ur answer is rupees 600

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\(\bf\Large\red{ THANKS \: FOR \: YOUR}\)

\(\bf\Large\red{ QUESTION \: HOPE \: IT } \)

\(\bf\Large\red{ HELPS }\)

\(\Large\mathcal\green{FOLLOW \: ME} \)

━━━━━━━━━━━━━━━━━━━━━━━━━

pls help before 7 00

pls help before 7 00

Answers

The first one the rate of change should be -1 because it’s 3/3 slope

For interpreting its meaning put ( For every one second the bird is diving it looses 10 feet in altitude )
And for part b of number 3
Say ( the relation ship is proportional because the rate at which the bird is diving is constant )

HELP ME WITH THIS PLEASE ITS DUE IN 4 MINUTES

HELP ME WITH THIS PLEASE ITS DUE IN 4 MINUTES

Answers

Answer:

i guessing its due now srry i was too late

Step-by-step explanation:

If the x value of a measurement on a chart decreases and then increases and the y value increases, then decreases and increases again is the rate of change positive or negative? the rate of change is 1 btw

Answers

Answer: Photo math might be able to help you

Step-by-step explanation:

the rate of change is negative

help me please i need help im terable at math

help me please i need help im terable at math

Answers

Answer:

83

Step-by-step explanation:

70=x-13

70+13=x-13+13

83=x

The answer is 83 just make sure you show you work, as long you have 83 it will be right

Please answer all questions and number your answers.

Please answer all questions and number your answers.
Please answer all questions and number your answers.
Please answer all questions and number your answers.
Please answer all questions and number your answers.
Please answer all questions and number your answers.

Answers

3(x+4)=3x+12.
5(z+6)=5z+30
9(2n+1)=18n+9
4s+2s=6s
6(s-9)=6s-54


Verified answers
6 (s - 9)

6s + 6 *- 9

6s - 54

The first person was right

an alligator can run 17.5 miles in 30 minutes. at this rate, how far could they go in 2 hours.

Answers

Answer:
70

Explanation:
17.5x4=70

4, 30 minute segments make 2 hours so 17.5x4 means 17.5 miles in 4 segments of 30 minutes which add up to 2 hours would make 70

I will give BRAINIEST to the next person who answers this!!

I will give BRAINIEST to the next person who answers this!!
I will give BRAINIEST to the next person who answers this!!

Answers

Answer:

Challenge #1:

Different examples:

2x+1=3x+2

4x+3=5x+4

3x+2=4x+3

Challenge #2:

Different examples:

2x+0=4x+1

3x+1=2x+5

6x+5=8x+6

Answer:

(-2x + 1 = 1x + 1) or (-4x + 2 = 2x + 2)

Step-by-step explanation:

HELP WILL MARK BRAINIEST
What is the median for the set of data?
71
70
72
74

HELP WILL MARK BRAINIESTWhat is the median for the set of data?71707274

Answers

Answer:

Step-by-step explanation:

To find the median, we need to arrange the data in ascending order:

70, 71, 72, 74

Since the data set has an even number of values, the median is the average of the two middle values. In this case, the two middle values are 71 and 72. Therefore, the median is:

(71 + 72) / 2 = 143 / 2 = 71.5

So, the median for the given set of data is 71.5.

71.5 is the answer for this question

The triangular sail has an area of 25 square feet. The sail's height is 10 feet. What is the length of the base of the sail? Hint: Remember that the area of 25 square feet is half of the rectangle. Don't forget units (feet) in your answer. I'LL MAKE FIRST GOOD ANSWER BRAINLIEST PLEASE HELP

The triangular sail has an area of 25 square feet. The sail's height is 10 feet. What is the length of

Answers

Answer:

5 feet

Step-by-step explanation:

The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.


Mountain View School Seaside School
0 5, 8
9, 8, 2, 0 1 0, 1, 2, 5, 6, 8
8, 7, 6, 5, 5, 4, 4, 3, 1, 0 2 5, 5, 7, 7, 8
0 3 0, 6
Key: 2 | 1 | 0 means 12 for Mountain View and 10 for Seaside


Part A: Calculate the measures of center. Show all work. (2 points)

Part B: Calculate the measures of variability. Show all work. (1 point)

Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (1 point)

Answers

To calculate the measures of center, we need to find the mean and median for each school.

For Mountain View School:
Data: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 0 + 1 + 2 + 3 + 4 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 8 + 8 + 8 + 9) / 19
= 100 / 19
≈ 5.26

To find the median, we need to arrange the data in ascending order: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5

For Seaside School:
Data: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 1 + 1 + 2 + 2 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 7 + 8 + 8 + 8 + 9) / 19
= 80 / 19
≈ 4.21

To find the median, we need to arrange the data in ascending order: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5

Now let's calculate the measures of variability, specifically the range and interquartile range (IQR).

Range: The range is the difference between the largest and smallest values in the dataset.

For Mountain View School:
Range: 9 - 0 = 9

For Seaside School:
Range: 9 - 0 = 9

Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1) and measures the spread of the middle 50% of the data.

For Mountain View School:
Q1 = 3
Q3 = 7
IQR = Q3 - Q1 = 7 - 3 = 4

For Seaside School:
Q1 = 2
Q3 = 7
IQR = Q3 - Q1 = 7 - 2 = 5

To determine which school is a better choice for a smaller class size, we can consider both the mean and the median.

Both the mean and median for Mountain View School are higher than those for Seaside School. This suggests that, on average, the class sizes at Mountain View School are larger than those at Seaside School. Therefore, if you are interested in a smaller class size, Seaside School would be a better choice
Part A:

For Mountain View School:
- Median: The median class size is the middle value, which is 25.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (29 + 28 + 28 + 27 + 25 + 24 + 24 + 23 + 21 + 20 + 19 + 18 + 15 + 13 + 10) / 15 = 21.27.

For Seaside School:
- Median: The median class size is the middle value, which is 20.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (25 + 25 + 27 + 27 + 28 + 28 + 28 + 30 + 31 + 35 + 36 + 38 + 40 + 43 + 45) / 15 = 31.13.

Part B:

For Mountain View School:
- Range: The range is the difference between the largest and smallest values, which is 29 - 10 = 19.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 20 and Q3 is 28. Therefore, the IQR is 28 - 20 = 8.

For Seaside School:
- Range: The range is the difference between the largest and smallest values, which is 45 - 25 = 20.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 27 and Q3 is 38. Therefore, the IQR is 38 - 27 = 11.

Part C:

If you are interested in a smaller class size, Mountain View School is a better choice for you because it has a lower mean and median class size than Seaside School.

Consider the standard form of an exponential function:

\(y=a(b)^x\)
How does changing the base number (inside the parentheses) change your graph?

Answers

Answer:

Step-by-step explanation:

Challenge 1

We have exponential decline if 0 b 1. As you move from left to right, the curve will get less steep.

If b is greater than 1, exponential growth is present, and the curve slopes upward from left to right.

Examples include exponential decline (y = 2(0.5)x) and exponential growth (y = 2(1.2)x).

Remember that b cannot be negative.

===========================================

Challenge 2

In the general template provided, enter x = 0.

y = a(b)^x

y = a(b)^0

y = a(1) (1)

y = a

When x = 0 is plugged in, the result is y = a.

The curve is therefore on the point (0,a). The y intercept appears here. It is the point when the curve veers off the y axis. The y intercept is altered if the value of "a" is altered.

Examples:

2/5 Divided by 7
= 35/2 or 2/35
Explain.

Answers

Answer:

\(=> \frac{2}{5} \div 7\)

\(=> \frac{2}{5} \div \frac{7}{1} \)

\(=> \frac{2}{5} \times \frac{1}{7} \)

\(=> \frac{2}{35} \)

So your answer is

\( \frac{2}{35} \)

_______________________

please help me i will give brainliest to first person to anwser.

please help me i will give brainliest to first person to anwser.

Answers

A. 1607.7

First we start with the formula for cylinders v=(pi)r(squared)h filled in Thats v=(3.14)(8 squared) (8) which brings us to the answer 1607.68 but you must round to the nearest tenth aka 1607.7
please help me i will give brainliest to first person to anwser.

Answer:

The first option, V ≈ 1607.7 in²

Step-by-step explanation:

Find the volume of the given cylinder.

\(\begin{center}\framebox{\parbox{4cm}{\textbf{Volume of a Cylinder:}\\[2ex]The volume of a cylinder with radius $r$ and height $h$ is given by the formula:\\[2ex]\center{$V = \pi r^2 h$} \\ \\}}\end{center}\)

Given:

r = 8 in

h = 8 in

π = 3.14

Find:

V = ?? in³

\(\hrulefill\)

Now solving,

Substitute the given values into the formula:

=> V = (3.14)(8)²(8)

Using a calculator to simplify:

=> V = 1607.68 in²

Rounded to the nearest tenth:

∴ V ≈ 1607.7 in²

Thus, the first option is correct.

HELO I NEED HELP PLZZ



The original price of television was decreased from $1,500 to $1,275. What was the percent decrease in the original price of the television?

Answers

Answer:

The answer is 15%

i need help with this question please help me

i need help with this question please help me

Answers

Answer:

The answer is D.

Step-by-step explanation:

y = mx + b

C = 5/9 (F - 32)

C = 5/9F - 5/9 (32)

Option (D) is correct.

Numbers and Operations KA 8th grade- correct answers only ty, and have a great day folks (7 pts)

Numbers and Operations KA 8th grade- correct answers only ty, and have a great day folks (7 pts)

Answers

Answer:c

Step-by-step explanation:

Answer:

it's c

Step-by-step explanation:

khan academy

Ariana was looking at rent costs for 555 apartments. Each rent was a different amount between \$1{,}000$1,000dollar sign, 1, comma, 000 and \$1{,}400$1,400dollar sign, 1, comma, 400 per month, except for one apartment whose rent was \$4{,}800$4,800dollar sign, 4, comma, 800 per month. [Show data] Ariana looked at the mean and median of the rents. Then, she decided to remove the \$4{,}800$4,800dollar sign, 4, comma, 800 rent from the set and recalculate the mean and median. How will removing this rent affect the mean and median?

Answers

Answer:

tough one

Step-by-step explanation:

sorry goodluck

Yea I’m so lost and I’m in middle school. :0

HELP PLEASE I REALLY NEED HELP

HELP PLEASE I REALLY NEED HELP

Answers

-3.121875

First step is take it out of fractions and into decimals, they are easier to work with.

(0.5x1.125)x(2.66x3.33)x7.5

Then PEMDAS

Parentheses
0.625x-0.66x7.5

Then multiply

-0.41625x7.5

Answer
-3.121875
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The storms that produce the highest winds are *a. thunderstormsb. winter storms.c. hurricanesd. tornadoes 8 [14 pts) The surface area of a cube of ice is decreasing at a rate of 10 cm/s. At what rate is the volume of the cube changing when the surface area is 24 cm?? What are not changed after a rotation The movement of the action potential along the axon resembles aQuestion 5 options:pendulum swinging back and forthrat trying to find the end of a mazeball bouncing up and down in place.row of dominoes falling from beginning to end Two numbers have the same digit in the millions period, the same digit in the thousands period, and the same digit in the ones period. Do these two numbers have the same value? Explain. Magenta Corporation wants to raise $50.2 million in a seasoned equity offering, net of all fees. Magenta stock currently sells for $12 per share. The underwriters will require a spread of $0.6 per share, and indicate that the issue must be underpriced by 5 percent. In addition to the underwriter's fee, the firm will incur $1,200,000 in legal, accounting, and other costs. How many shares must Magenta sell? (Enter your answer in millions rounded to 3 decimal places.) Number of shares million Answer anyone pleaseeee . How did Little Rock 9 impact society? When an essential amino acid is missing from the diet. Are there more prestiges jobs in society than others? Are the most prestiges always the most important? Why or why not? HOW DO YOU SEE IT The diagram represents the number of students in a school with brown eyes,brown hair, or both.*picture*Determine whether each inequalities must be true. Explain your reasoning.(Choices in photos) what is the average for a human piens A 2.inc B 4inc C 10 inc D 1 feet orthostatic hypotension and oliguria are common manifestations of: when conducting a one-way independent anova with three levels on the independent variable, an f-ratio that is large enough to be statistically significant tells us: A professional quarterback passed for 4,384 yards in 16 games in one football season. If he passed for the same number of yards each game, how many yards did he pass for in each game? Enter your answer in the box. How to remove filter of the text medical interns and residents are often required to work such long shifts that they are always exhausted and do not function optimally. dissonance theory would suggest that a possible motivation for this policy is to For a certain oscillator the net force on the body with mass m is given by F = -cx3. a. What is the potential energy function for this oscillator if U=0 at x=0? b. One-quarter of a period is the time for the body to move from x=0 to x=A. Calculate this time and hence the period. c. According to the result of (b), does the period depend on the amplitude A of the motion? Are the oscillations simple harmonic? Look at paragraph 3 of the selection. Which types of development does the un seeek the protect children El gerente de finanzas solicit a todas las reas, que planifiquen los gastos que tendrn que hacer para sus actividades durante el ao, estas acciones representan qu concepto?: