a. The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, $5,050 is collected. Create an equation in standard form using the variables x and y to represent the scenario. Do not use commas or units (such as $) in your equation.

b. If 1,000 adults attended the fair, how many children attended? Include the correct unit in your answer

Answers

Answer 1

Answer:

=50

Step-by-step explanation:


Related Questions

Starting at the same point, Tom and Juanita go biking in opposite directions. If Tom rides at a speed of 16 mph, and Juanita rides at a speed of 18 mph, how far apart will they be in 2 hours? Please help I need the answer like right now! But also take your time to think it through!

Answers

Answer:

Tom and Juanita will be 68 miles apart.

Step-by-step explanation:

16 x 2 = 32 miles

18 x 2 = 36 miles

36 + 32 = 68 miles

Answer:

Sure.

Tom and Juanita are moving in opposite directions, so their speeds are added together. Their combined speed is 16+18=34 mph.

If they travel for 2 hours at a speed of 34 mph, they will travel a distance of 34×2=68 miles.

Therefore, they will be 68 miles apart in 2 hours.

Is there anything else I can help you with?

Step-by-step explanation:

Triangle ABC with vertices at A(−3, −3), B(3, 3), C(0, 3) is dilated to create triangle A′B′C′ with vertices at A′(−1, −1), B′(1, 1), C′(0, 1). Determine the scale factor used.

1
one half
3
one third

Answers

1/3 filler words  im smart filler words i failed geometry filler words  i think its right filler words  

Answer:

1/3

Step-by-step explanation:

someone please help me ASAP!!!

Answers

75%
Bcuz if u look at how many r less then 8 its 3/4 so do that 3 divided by 4 and get .75 so its 75%
75% is the correct Answer.
There are 4 choices, so if 4 make 100% and 3/4 of them make up for “P”, then 3/4 = 75% is the answer.

How many times does 15 go int 135? who ever gets it right gets 500 points

Answers

Answer:

9 times

Step-by-step explanation:

The number 15 multiplied to the number 9 which gives the value 135.

To find the that how many 15 is to get 135, division should be performed.

So, dividing 135 by 15 gives:

= 135 ÷ 15

                         15 | 135 | 9

                                135

                            _______

                                   0

Thus, the quotient is 9.

Therefore, 15 goes into 135 exactly 9 times.

Learn more about Division here:

https://brainly.com/question/2273245

#SPJ6

(explanation please so i can understand)
Triangle JKL has vertices at J(−1, −5), K(−2, −2), and L(2, −4). Determine the translation direction and the number of units of the image of triangle JKL if vertex J′ is at (−1, −8).

3 units down
3 units up
7 units to the right
7 units to the left

Answers

Answer:

3 units down

Step-by-step explanation:

J(-1, -5) → J'(-1, -8)

The x coordinate of the vertex J is -1 and does not change in J' (it is still -1)

The y coordinate of J is -5, and for J' is -8.  This means the translation direction of 3 units down.  (-8- -5 = -3)

Help Please, I don't understand this

Answers

Firstly, you have to understand that if you talk about slope is a similar word gradient of the graph. So if you are calculating slope you have to use gradient formula:

m= Y2-Y1

X2-X1

therefore, in order for you getting first box & second box you have to use this formula above.

First box answer is:

Points fromthegraph (-2:-2) & (-3:-3)

m= Y2-Y1

X2-X1

m = -3-(-2)

-3-(-2)

m = 1

Second box answer is:

Points fromthegraph (3:3) & (4:4)

m= Y2-Y1

X2-X1

m= 4-3

4-3

m= 1

Third box answer is:

= 4

Forth box answer is:

= -3

Can someone please help with this! All the information i have is in the screenshot-

Answers

Part A:

So basically you use this formula to find the best-guessed height and length of the rectangular prism.

1029/7√=

147√=

12.12436

So the best-guessed height and length were both 12.12436.

Now take this info you learned from calculating the best-guessed height and length of the left prism. We are now going to use 12.12436 as the height and length for the right prism. Now make sure to use the order of operations rule "PEMDAS" to solve this equation. If you don't you will get the wrong answer.

12.12436(8)²=

147(8)=

1176

So the best-guessed volume of the right prism is 1176.

Part B:

So basically what you have to do is divide 1029 by the solution of    height×width which will give you your length.

1029/(14×7)=

1029/98=

10.5

So the best-guessed length of the left prism is 10.5.

Now you will use this info to solve your problem

14×8×10.5= 1,008

1008/8√=

126√=

11.22497

So the best-guessed height would be 11.22497.

Part C:

I might need help with this part :)

A group of 500 middle school students were randomly selected and asked about their preferred frozen yogurt flavor. A circle graph was created from the data collected.

a circle graph titled preferred frozen yogurt flavor with five sections labeled Dutch chocolate 21.5 percent, country vanilla 28.5 percent, sweet coconut 13 percent, espresso, and cake batter 27 percent

How many middle school students preferred espresso-flavored frozen yogurt?

10
15
50
100

Answers

Answer:

50

Step-by-step explanation:

21.5%+28.5%+13%+27%=90%

100%-90%=10%

however there are 500 students in the school so you have to work out 10% of 500.

10% of 500 = 50

Answer:

50

Step-by-step explanation:

21.5%+28.5%+13%+27%=90%

100%-90%=10%

however there are 500 students in the school so you have to work out 10% of 500.

10% of 500 = 50

The table shows the number of runs earned by two baseball players.


Player A Player B
2, 1, 3, 8, 2, 3, 4, 4, 1 1, 4, 5, 1, 2, 4, 5, 5, 10


Find the best measure of variability for the data and determine which player was more consistent.
Player A is the most consistent, with a range of 7.
Player B is the most consistent, with a range of 9.
Player A is the most consistent, with an IQR of 2.5.
Player B is the most consistent, with an IQR of 3.5.

Answers

To find the best measure of variability for the data and determine which player was more consistent, we can calculate the range and the interquartile range (IQR) for both players.

The range is calculated by subtracting the minimum value from the maximum value in a dataset. The IQR is a measure of dispersion that represents the range between the first quartile (Q1) and the third quartile (Q3) in a dataset.

Let's calculate the range and IQR for both players:

For Player A:

The data for Player A is: 2, 1, 3, 8, 2, 3, 4, 4, 1.

To calculate the range:

[tex]\text{Range} = \text{maximum value} - \text{minimum value}[/tex]

The maximum value is 8, and the minimum value is 1.

[tex]\text{Range} = 8 - 1 = 7[/tex]

For Player B:

The data for Player B is: 1, 4, 5, 1, 2, 4, 5, 5, 10.

To calculate the range:

[tex]\text{Range} = \text{maximum value} - \text{minimum value}[/tex]

The maximum value is 10, and the minimum value is 1.

[tex]\text{Range} = 10 - 1 = 9[/tex]

To calculate the IQR, we need to find the first quartile (Q1) and the third quartile (Q3) for each player:

For Player A:

Arranging the data in ascending order: 1, 1, 2, 2, 3, 3, 4, 4, 8.

To calculate Q1, we find the median of the lower half of the data: 1, 1, 2, 2, 3.

Q1 = 2

To calculate Q3, we find the median of the upper half of the data: 3, 4, 4, 8.

Q3 = 4

The IQR is calculated as:

[tex]\text{IQR} = Q3 - Q1[/tex]

[tex]\text{IQR} = 4 - 2 = 2[/tex]

For Player B:

Arranging the data in ascending order: 1, 1, 2, 4, 5, 5, 5, 10.

To calculate Q1, we find the median of the lower half of the data: 1, 1, 2, 4.

Q1 = 1.5

To calculate Q3, we find the median of the upper half of the data: 5, 5, 5, 10.

Q3 = 5

The IQR is calculated as:

[tex]\text{IQR} = Q3 - Q1[/tex]

[tex]\text{IQR} = 5 - 1.5 = 3.5[/tex]

Based on the calculations, we can conclude:

Player A is the most consistent, with a range of 7.

Player B is the most consistent, with a range of 9.

Player A is the most consistent, with an IQR of 2.

Player B is the most consistent, with an IQR of 3.5.

Therefore, the correct answer is:

Player A is the most consistent, with an IQR of 2.

[tex]\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}[/tex]

♥️ [tex]\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}[/tex]

Answer:To find the best measure of variability for the data and determine which player was more consistent, we can calculate the range and the interquartile range (IQR) for both players.

The range is calculated by subtracting the minimum value from the maximum value in a dataset. The IQR is a measure of dispersion that represents the range between the first quartile (Q1) and the third quartile (Q3) in a dataset.

Let's calculate the range and IQR for both players:

For Player A:

The data for Player A is: 2, 1, 3, 8, 2, 3, 4, 4, 1.

To calculate the range:

The maximum value is 8, and the minimum value is 1.

For Player B:

The data for Player B is: 1, 4, 5, 1, 2, 4, 5, 5, 10.

To calculate the range:

The maximum value is 10, and the minimum value is 1.

To calculate the IQR, we need to find the first quartile (Q1) and the third quartile (Q3) for each player:

For Player A:

Arranging the data in ascending order: 1, 1, 2, 2, 3, 3, 4, 4, 8.

To calculate Q1, we find the median of the lower half of the data: 1, 1, 2, 2, 3.

Q1 = 2

To calculate Q3, we find the median of the upper half of the data: 3, 4, 4, 8.

Q3 = 4

The IQR is calculated as:

For Player B:

Arranging the data in ascending order: 1, 1, 2, 4, 5, 5, 5, 10.

To calculate Q1, we find the median of the lower half of the data: 1, 1, 2, 4.

Q1 = 1.5

To calculate Q3, we find the median of the upper half of the data: 5, 5, 5, 10.

Q3 = 5

The IQR is calculated as:

Based on the calculations, we can conclude:

Player A is the most consistent, with a range of 7.

Player B is the most consistent, with a range of 9.

Player A is the most consistent, with an IQR of 2.

Player B is the most consistent, with an IQR of 3.5.

Therefore, the correct answer is:

Player A is the most consistent, with an IQR of 2.

♥️ To find the best measure of variability for the data and determine which player was more consistent, we can calculate the range and the interquartile range (IQR) for both players.

The range is calculated by subtracting the minimum value from the maximum value in a dataset. The IQR is a measure of dispersion that represents the range between the first quartile (Q1) and the third quartile (Q3) in a dataset.

Let's calculate the range and IQR for both players:

For Player A:

The data for Player A is: 2, 1, 3, 8, 2, 3, 4, 4, 1.

To calculate the range:

The maximum value is 8, and the minimum value is 1.

For Player B:

The data for Player B is: 1, 4, 5, 1, 2, 4, 5, 5, 10.

To calculate the range:

The maximum value is 10, and the minimum value is 1.

To calculate the IQR, we need to find the first quartile (Q1) and the third quartile (Q3) for each player:

For Player A:

Arranging the data in ascending order: 1, 1, 2, 2, 3, 3, 4, 4, 8.

To calculate Q1, we find the median of the lower half of the data: 1, 1, 2, 2, 3.

Q1 = 2

To calculate Q3, we find the median of the upper half of the data: 3, 4, 4, 8.

Q3 = 4

The IQR is calculated as:

For Player B:

Arranging the data in ascending order: 1, 1, 2, 4, 5, 5, 5, 10.

To calculate Q1, we find the median of the lower half of the data: 1, 1, 2, 4.

Q1 = 1.5

To calculate Q3, we find the median of the upper half of the data: 5, 5, 5, 10.

Q3 = 5

The IQR is calculated as:

Based on the calculations, we can conclude:

Player A is the most consistent, with a range of 7.

Player B is the most consistent, with a range of 9.

Player A is the most consistent, with an IQR of 2.

Player B is the most consistent, with an IQR of 3.5.

Therefore, the correct answer is:

Player A is the most consistent, with an IQR of 2.

♥️

Step-by-step explanation:

There is no trend on the scatter plot shown below.
True or False

Answers

Answer:

It is true, since you would not be able draw a trend line to it, and there is no relative frequency in the graph.

George solved the equation -103 = -2(-7x + 7) + 8x as follows:


-103 = -2(-7x + 7) + 8x

Step 1: -103 = 14x + 7 + 8x

Step 2: -103 = 22x + 7

Step 3: -110 = 22x

Step 4: -5 = x


At which step did he make an error?

Explain the error:

Answers

when multiplying -2 by 7 the answer will be -14 instead of 7 so the answer will be like this
-103 = -2(-7x + 7) + 8x
-103 = 14x - 14 + 8x
-103 = 22x - 14
-89 = 22x
x = -4
Step 1:-103=14x - 14 + 8x
Step 2: -103 = 22x - 14
Step 3: -117 = 22x
Step 4: -5.31818182 = x

NAH FR HELP ME PLS IM JUST LEARNING THIS TODAY

Answers

the answer is 2. Taking the cube root of a number is seeing what number is multiplied by itself 3 times to go into the number. 2x2x2= 8, so the answer is 2. The root of a number can’t be bigger then the actual number
yeah I agree with that first comment it’s two because

2•2•2
^ ^
4•2=8

10 x 10 to the power of 9 is how many times greater than 5 times 10 to the power of 3
find the answer using scientific notation

Answers

Answer: 2,000,000 or 2*10^6

Step-by-step explanation:

10*10^9 = 10000000000

5*10^3 = 5000

10000000000/5000=2000000

[tex]10x10^9[/tex] = 10 x 1000000000 = 10,000,000,000

5 x 10^3 = 5 x 10 x 10 x 10 = 5,000

Divide 10 x 10^9 / 5 x 10^3 and the answer is

2 x 10^6

I hope this helps you, and if I did anything wrong to this problem, please do let me know :)

i really need help please

Answers

Answer:

If I am thinking correctly its 72.

Step-by-step explanation:

I multiplied 9 x 8 and I got 72, and if I remember correctly your supposed to multiply to get the area.

Hope this helps :>

Answer : 124ft to the nearest whole number.

Explanation: the formula to find the lateral surface area of a cone is pi times the radius times the slant height. The slant height can be found by rooting the radius squared plus the height squared.

So, 4^2 plus 9^2 rooted multiplied by pi and by the radius, which gives you an answer of 123.7644 which is 124 to the nearest whole number.

Hope this helps.

The figure is the net for a rectangular prism.

What is the surface area of the rectangular prism represented by the net?

Answers

768 is your Awnser
Reason I did the work

help me, please thanks

Answers

Answer: 120 feet sqaured

Step-by-step explanation:

Surface area for square pyramid formula: 2bh + b^2

Base = 6  Height = 9

2*6*9+6^2 =

108+12 =

120

Answer:

120 feet squared

Step-by-step explanation:

The following box-and-whisker plot shows the distribution of ratings a new restaurant received from 100 food critics that reviewed it. Seventy-five percent of critics did not rate it higher than what number?

Answers

Answer:

8.5

Step-by-step explanation:

according to the image

10-4=6

6 x 75%=4.5

4+4.5= 8.5

please mark as brainliest!!
Answer: 9

Box plots (or box-and-whisper plots) show what is known as ‘quartiles’. The median point on the box plot is also known as quartile 2, the first point line as quartile 1, and the last as quartile 3. 4 is the minimum rating, and 10 is the maximum as shown by the two horizontal lines on the box-and-whisker plot.

Quartile 3 shows the 75th percentile. As it is situated on 9, seventy-five percent of critics did not rate it higher than 9. Thus, the answer is 9.

Help...
The Japanese 5 yen coin has a hole in the middle. What are the possible ways to calculate the difference between the outer and inner circumference of the coin? Check all that apply.

Subtract the two diameters and multiply by 3107-11-05-20-05-task
Calculate the circumference of the coin.
Add the two diameters and multiply by 3107-11-05-20-05-task
Subtract the circumference of the hole from the circumference of the coin.
Calculate the radius of the hole.
P.S fr33 points, I know the answers ;)

Answers

Answer:

Subtract the two diameters and multiply by 3107-11-05-20-05-task

Calculate the circumference of the coin.

Subtract the circumference of the hole from the circumference of the coin.

Calculate the radius of the hole.

Step-by-step explanation:

how can you represent the relationship between paired data and describe patterns of association?

Answers

With scatter plots.          

What is the surface area of this right triangular prism? PLEASEEE HELPPPP It's 3D geometry

Answers

Answer:

1200 square inches

Step-by-step explanation:

Surface area of right triangular prism:

       [tex]\boxed{\text{\bf Surface area of right triangular prism = bh + $\bf (s_1 + s_2+s_3)* l$}}[/tex]

                 b = base of the triangle = 30 in

                 h = altitude of the triangle = 8 in

                 [tex]\sf s_1, ~ s_2, ~ s_3 \ are \ the \ sides \ of \ the \ triangle.\\\\s_1 = 17 \ in, \ ~~ s_2 = 17 \ in, ~~ s_3 = 30 \ in[/tex]

                 l = length of the rectangle = 15 in

Surface area of right triangular prism = 30*8 + (17 +17 + 30) * 15

                                                               = 30*8 + 64 *15

                                                               = 240 + 960

                                                              = 1200 square inches

Answer: it is going to be 24

Step-by-step explanation:

Part 1 - Application
Indiana plans to purchase a new gaming system during the 15% off sale. Let c represent the cost of the gaming system. How can you write a function to represent this?


Indiana also knows that he will have to pay the state tax of 10% on his purchase (after the discount is taken). Let p represent the price. How can he write a function to represent this?


Write one single function to help Indiana know how to calculate the final cost.

Answers

Answer:

The single function to calculate the final cost of the gaming system, including a 15% off discount and a 10% state tax, is: final_cost(c) = 0.935c.

Step-by-step explanation:

To represent the cost of the gaming system before any discounts or taxes, we can use the variable c:

c represents the cost of the gaming system.

To represent the price after the 15% off discount, we need to calculate the discounted price by subtracting 15% of the cost from the original cost:

p = c - 0.15c

Simplifying, we get:

p = 0.85c

Here, p represents the price after the 15% discount has been applied.

To represent the price after the 10% state tax has been added to the discounted price, we need to calculate the price with the added tax:

final_price = p + 0.1p

Simplifying, we get:

final_price = 1.1p

Here, final_price represents the price after the 10% state tax has been added.

Therefore, the correct single function to help Indiana calculate the final cost is:

final_cost(c) = 1.1(0.85c)

Simplifying further:

final_cost(c) = 0.935c

Tried to post this last night and no one helped. Please help now. :D

Answers

Answer:

Step-by-step explanation:

2=1

3=3

4=2

5=1

6=3

7=5

8=2

9=4

2-1
3-3
4-2
5-1
6-3
7-6
8-2
9-4
10-0
11-2
12-2

*100 POINTS** 7th grade geometry pls help

Answers

Answer:

Height = 10 cm

Step-by-step explanation:

The volume of a pyramid can be found using the following formula:

[tex]\boxed{\large \textsf{$V=\frac{1}{3}Ah$}} \large \textsf{ where:}\\\\ \normalsize \textsf{$\bullet{\,V = $ volume of pyramid$}$}\\ \normalsize \textsf{$\bullet{\,A = $ base area$}$}\\ \normalsize \textsf{$\bullet{\,h = $ perpendicular height$}$}[/tex]

Note: in the question, it states that base area = 12 cm³, however, this is an error (typo), and the area is 12 cm², since area is only in 2 dimensions. length and width, whilst volume is in 3 dimensions. length, width, and height.

Now, we can plug in our data into the formula:

[tex]\large \textsf{$40=\frac{1}{3}12h$}\\\\ \large \textsf{$40=4h$}\\\\\boxed{\boxed{\large \textsf{$\therefore h = 10$ cm}}}\\[/tex]

Please help i will give points

Answers

Hello !

odd = 5, 7, 9

There are 3 numbers out of a total of 5:

3/5 = 0,6 = 60%

Answer is 60%.

I’m pretty sure the The answer is 60%

How far did I travel to reach my destination on each day of my three-day Trip?
a. On Day 1, after traveling 5/8 of the way to the first day's destination, I still had 15 miles left to go before reaching my first destination.
b. On Day 2, after traveling 18 miles, I still had 2/5 of that day's distance left to go before reaching my second destination.
c. On Day 3, after traveling 5/11 of that day's distance, I still had 6 more miles to travel than what I had already traveled that day, before reaching my third destination.

Answers

Answer:

81 miles

Step-by-step explanation:

Day 1

3/8---15 miles

1/8---5 miles

8/8---40 miles

Day 2

3/5---18 miles

1/5---6 miles

5/5---30 miles

Day 3

6/11---6 miles

1/11---1 mile

11/11---11 miles

Total: Day 1 + Day 2 + Day 3

40+30+11=81

someone please help me ASAP!!

Answers

Answer:

P(factor of 20) = P(5) = 1/3

Step-by-step explanation:

The factors of 20 are

1 and 20

2 and 10

4 and 5

or 1, 2, 4,  5, 10, 20

In the spinner wheel, only 5 appears as a factor of 20

Since there are 3 numbers and each of them is equally likely, P(any number landing is) = 1/3

P(5) = 1/3

How far did I travel to reach my destination on each day of my three-day Trip?
a. On Day 1, after traveling 5/8 of the way to the first day's destination, I still had 15 miles left to go before reaching my first destination.
b. On Day 2, after traveling 18 miles, I still had 2/5 of that day's distance left to go before reaching my second destination.
c. On Day 3, after traveling 5/11 of that day's distance, I still had 6 more miles to travel than what I had already traveled that day, before reaching my third destination.

Answers

The total distances you traveled to reach your destination on each day of your three-day trip are as follows:

a) Day 1 = 40 miles

b) Day 2 = 30 miles

c) Day 3 = 11 miles.

How the total distances are determined:

The total distances are determined using proportions.

Proportion refers to the fractional value of the whole number or quantity.

a) Day 1:

The fractional distance traveled = ⁵/₈

The remaining distance to travel = 15 miles

15 miles = ³/₈ (1 - ⁵/₈)

Proportionately, the total distance = 40 miles (15 ÷ ³/₈)

b) Day 2:

The distance traveled = 18 miles

The remaining distance to travel = ²/₅

The distance traveled = ³/₅ (1 - ²/₅)

³/₅ = 18 miles

Proportionately, the total distance = 30 miles (18 ÷ ³/₅)

c) Day 3:

The distance traveled = ⁵/₁₁

The distance to travel = 6 miles

The distance to travel in fractions = ⁶/₁₁ (1 - ⁵/₁₁)

Proportionately, if 6 miles = ⁶/₁₁, the total distance = 11 miles (6 ÷ ⁶/₁₁)

Learn more about proportions at https://brainly.com/question/1496357.

#SPJ1

HELP ANSWER HOWLE PAGE PLS

Answers

Step-by-step explanation:

an acute angle is less then 90 degrees, a right angle is 90 degrees, an obtuse angle is more than 90 degrees, a straight angle is 180 degrees, and a reflex angle is more than 180 degrees but less then 360 degrees

(write a equation in slope-intercept form for each line) please help me I will give brainiest

Answers

Answer:

Question 5: 1

Question 6: -2/3

Question 7: 0.5

Step-by-step explanation:

Answer:

5.y=x+2

6.y=x(-2/3)+5

7.y=x1/2

Step-by-step explanation:

For which data set is mean the best measure of central tendency?

A: 94, 98, 96, 100, 97

B: 54, 60, 58, 3, 64

C :26, 29, 71, 28, 71

D: 5, 5, 5, 301, 5

Answers

Answer:

The correct answer would be choice A: 94, 98 , 96, 100, 97

The mean is the best measure of central tendency when the values are close together and there are no outliers. Choice A is the only set with no outliers. The rest of the sets have an outlier which will skew the mean.

Step-by-step explanation:

it might be wrong but i am pretty sure

hope it helped;)

A 94 98 96 100 97 is the correct answer according to me
Other Questions
- Molar Extinction Coefficient for [CrO4 2-]- Average molar extinction coefficient- Standard deviationREPORT SHEET Determination of the Solubility-Product Constant for a Sparingly Soluble Salt A. Preparation of a Calibration Curve Initial [Crox?] 0.0024 M Volume of 0.0024 M KC704 1. 1 mL [Cro,?] Total volume 100 mL Absorbance 0.103 2.4 x 10^-5 2. 5 mL 100 mL 1.20 x 10^-4 0.453 3. 10 mL 100 mL 2.40 x 10^-4 0.854 4. 15 mL 100 mL 3.60 x 10^-4 1.10 Molar extinction coefficient for [Cro 2-1 1. 2. 3. 4. Average molar extinction coefficient Standard deviation (show calculations) Write a script to approximate the following integrals using the composite trapezoidal method: 1. [***+2x2 +5 (3) 2. So 7210 dx (4) 3. $*x*Inx dx (5) 1 * 224 cos(2x) dx (6) Your script should calculate the approximated area using (n = 1, 10, 100). In addition, calculate the same integrals using the function quadO from scipy.integrate. Please print out all the solutions, your composite trapezoidal method approximations and the quad( approximation, in the Python console. The implementation of the composite trapezoidal method must be done using the prescription given by the Eq. (). You must write your script using for or while loops. $f(x)dx = 6U (2) + f(x+1) with n the number of rectangles. An electron is trapped within a sphere whose diameter is 5.10 10^15 m (about the size of the nucleus of a medium sized atom). What is the minimum uncertainty in the electron's momentum? 1. haley made 79,000 in 2022. how much did she pay in total fica taxes? (1 point) in the northern hemisphere, winds for a cold front travel south or ____ before passing, shift directions while passing, and then travel ____ after passing. Find two consecutive odd integers such that the sum of the smaller integer and twice the greater integer is 85 an aluminum wire with a radius of 2.45 mm is held under tension. if the speed of traveling waves on the wire is 215 m/s and the density of aluminum is 2.70 g/cm3, what is the tension in the wire? Companies invest in expansion projects with the expectation of increasing the earnings of its business.Consider the case of Fox Co.:Fox Co. is considering an investment that will have the following sales, variable costs, and fixed operating costs:Year 1Year 2Year 3Year 4Unit sales5,5005,2005,7005,820Sales price$42.57$43.55$44.76$46.79Variable cost per unit$22.83$22.97$23.45$23.87Fixed operating costs$66,750$68,950$69,690$68,900This project will require an investment of $15,000 in new equipment. Under the new tax law, the equipment is eligible for 100% bonus deprecation at t = 0, so it will be fully depreciated at the time of purchase. The equipment will have no salvage value at the end of the projects four-year life. Fox pays a constant tax rate of 25%, and it has a weighted average cost of capital (WACC) of 11%. Determine what the projects net present value (NPV) would be under the new tax law.Which of the following most closely approximates what the projects net present value (NPV) would be under the new tax law?(Hint: Round your final answer to two decimal places and choose the value that most closely matches your answer.)$90,392.12$80,348.55$120,522.83$100,435.69Which of the of the following most closely approximates what the projects NPV would be when using straight-line depreciation? (Hint: Round your final answer to two decimal places and choose the value that most closely matches your answer.)$99,594.23$124,492.79$114,533.36$94,614.52Using the depreciation method will result in the highest NPV for the project.No other firm would take on this project if Fox turns it down. Which of the following most closely approximates how much Fox should reduce the NPV of this project, assuming it is discovered that this project would reduce one of its divisions net after-tax cash flows by $700 for each year of the four-year project? (Hint: Round your final answer to two decimal places and choose the value that most closely matches your answer.)$1,628.78$1,303.03$2,388.88$2,171.71Fox spent $2,500 on a marketing study to estimate the number of units that it can sell each year. What should Fox do to take this information into account?Increase the NPV of the project $2,500.The company does not need to do anything with the cost of the marketing study because the marketing study is a sunk cost.Increase the amount of the initial investment by $2,500. Unlike classical conditioning, operant conditioning typically involves _____ responses. a. involuntary b. voluntary. a garment called holoku, became a traditional part of hawaiian dress. true or false? how much can teachers deduct for school supplies 2022 find the values of a, b, c, d, such that the following equation holds for 4 103 342 50 25 = ( 2 )(3 2 ), where is imaginary unit describe the key provisions of the interstate commerce commission termination act of 1995 and how did they effect the various modes of transportation? the tubular portion of the uterus that extends inferiorly into the superior region of the vagina is known as the __________. System failure can occur because of a hardware problem, a software problem, or computer sabotage. True./False you and a friend have created a carnival game for your classmates. you plan to charge $1 for each time a student plays, and the payout for a win is $5. according to your calculations, the probability of a win is .05 what is your expected value for this game? Which information should the nurse exclude when providing education to a patient scheduled for patch testing for allergens?a) "Expect some itching, burning, and/or wheezing to develop during the test period."b) "Do not take any anti-inflammatory drugs for at least 24 hours before the test."c) "Avoid any activities that cause sweating on the day the test is scheduled."d) "Plan to remain at the clinic for 4 hours after the test for an initial reading of the result." Prove that if W = Span{u1, ..., up}, then a vector v lies in Wif and only if v is orthogonal to each of u1, ..., Up. = 1 0 2 0 1 -3 -4 (b) Calculate a basis for the orthogonal complement of W = Span{u1, U2, U3} where ui - = -1 -2 = > U3 U2 = > > > 3 1 3 1 0 -11 What were the three models of dna replication that the meselson stahl experiments were testing for? Indentured servitude was opposed by the ruling elite who condemned forced labor as incompatible with the values of the colonial leaders. Group of answer choicesFalseOnly in the Northern coloniesOnly in the Southern coloniesTrue