Instead of handing out candy like a well-adjusted person on Halloween, grumpy, anti-social Professor Sosa decides to stand on top of a 400 ft building and toss candy treats onto the ground below. If he drops a bag of candy corn, how long will it take for it to land on the ground? What will the velocity of the bag be when it hits the ground?

Answers

Answer 1

Answer: The bag of candy corn will take 5 seconds to land on the floor and it will hit it with velocity of 49m/s.

Step-by-step explanation: A free falling object has only Gravitational Force acting on it, so acceleration will be due to gravity, which has magnitude

g = 9.8m/s².

As Professor Sosa drops the bag, its initial velocity and time are 0.

The building has a height of 400ft, so adjusting units: y = 121.92 m and [tex]y_{0}[/tex] = 0.

For this problem, going down will be the positive reference.

Then:

[tex]y=y_{0}+v_{0}t+\frac{g}{2}t^{2}[/tex]

[tex]\Delta y=v_{0}t+\frac{g}{2}t^{2}[/tex]

[tex]121.92=\frac{9.8}{2}t^{2}[/tex]

[tex]t=\sqrt{\frac{121.92*2}{9.8} }[/tex]

t ≈ 5

It will take 5s for the candy corn bag to land on the ground.

Acceleration is the change in velocity per change in time, so:

[tex]g=\frac{\Delta v}{\Delta t}[/tex]

As initial velocity and time are 0 and rearraging it:

v = g.t

v = 9.8*5

v = 49

The bag will hit the ground with velocity of magnitude 49 m/s.


Related Questions

Write an equation for 51 divided by 3 is k

Answers

Answer:

51/3 = 17

Step-by-step explanation:

3 can go into 5 one time (1)

5 minus 3 equals 2.

Bring down the one, make sure the 2 and 1 are beside. (21)

How many times can 3 go in to 21 ?

7 !

So, put 1 and 7 together, and get 17!

Boden’s account has a principal of $800 and a simple interest rate of 3.3%. Complete the number line. How much money will be in the account after 4 years, assuming Boden does not add or take out any money?

Answers

Answer: 800 x 1.033^4 = 910.94 (result is rounded)

(8,9), X + 8y = 9
Help me please

Answers

Answer:

slope of -1/8

and it crosses:

(3,5)

.

Plug the above data into the "point-slope" form:

y - y1 = m(x - x1)

y - 5 = (-1/8)(x - 3)

y - 5 = (-1/8)x + 3/8

y = (-1/8)x + 3/8 + 5

y = (-1/8)x + 3/8 + 40/8

y = (-1/8)x + 43/8

Step-by-step explanation:

?

The difference between the sample value and the true value in the population under study is referred to as _______.

Answers

Answer:

a. sampling error

Step-by-step explanation:

These are options for the question below;

a. sampling error

b. random error

c. measurement error

d. chance correlation

e. none of these

Sampling error can be regarded as statistical error, this do occur when the person analysing the data just select portion out of the data, which doesn't fully cover for the whole population of the data, and after the analysis the gotten result doesn't resemble the kind of result that could have gotten if the whole population of Data is used. It occurs where there is more difference exist between population parameter and a sample statistic.

Mathematically sampling error can be calculated using below formula

Sampling error= Z √[p(1-p)/n] [1-√(N/n)

Where

N= population size

n=sample size

Z= score for the selected confidence level

P= proportion of people surveyed

It should be noted that The difference between the sample value and the true value in the population under study is referred to as sampling error

Homer is 30 feet below sea level and Marge is 45 feet above sea level. Bart’s elevation is at the exact midpoint of those two values. What is the expression that model this problem, and which is Bart’s elevation?

Answers

Answer:

14.5 feet

Step-by-step explanation:

the midpoint is halfway from 30 to 45 so be(bart elevation) b.e = 45 - 30 / 2

Answer:

7.5 m above sea level

__________________________________________________________

Step-by-step explanation:

We are given:

The elevation of Homer = -30 feet                         [30 feet below sea level]

The elevation of Marge = +45 feet                         [45 feet above sea level]

The elevation of Bart is at the exact mid-point of the elevations of Homer and Marge

The elevation of Bart:

We are given that the elevation of Bart is at the exact mid-point of the elevations of Homer and Marge

So, Half the distance between the elevation of Homer and Marge is the elevation of Bart

Elevation of Bart (with respect to the elevation of Homer) =

(elevation of Marge - Elevation of Homer) / 2

replacing the variables with the suitable values:

(+45 - (-30))/2

(45 + 30) / 2

75 / 2

Elevation of Bart (w.r.t. Homer) = 37.5 feet

Since this is the elevation of Bart with respect to Homer, we can say that Bart is 37.5 m above Homer

So, we can say that:

Elevation of Bart (w.r.t Homer) = Elevation of Bart - Elevation of Homer

replacing the values

37.5 = Elevation of Bart -(-30)

37.5 = Elevation of Bart + 30

Elevation of Bart = 7.5 m above sea level [subtracting 30 from both sides]

Which of the following rates are proportional to $3.85 per 1 pound? Select all that apply.
HELP STAT
A) 5 pounds for $19.25
B) $7.70 for 2 pounds
C) 4 pounds for $15.10
D) $10.00 for 3 pounds
E) 10 pounds for $38.50
F) $28.75 for 9 pounds

Answers

U just divide the money by how many pound and if u get 3.85 that is correct
A, B, and E
A:$19.25/5=$3.85
B:$7.70/2=$3.85
E:$38.50/10=$3.85

3. Which number is a distance of 4 units away from 2 and a distance of 2 units from -4?
HH
-6
-5
-4
-3
-2
-1
0
1
2.
3
4
5
6

Answers

Answer:

-2

Step-by-step explanation:

In the graph above what is the average speed for the object?

a. 0.4m/s
b. 2.5m/s
c. 3m/s
d. 0.8m/s

Answers

Answer:

c

Explanation:

Just because

find QR. 18+x + 2x+23=17

Answers

Step-by-step explanation:

1.) x+2x=17-18-23

2)3x=-24

3)x=. -8

helppp me please i’m going to fail

Answers

Multiple the top equation by 2 and rearrange so that -7 is equal to the others.
-10x+2y=-14
-3x-2y=-12
——————-
-13x=-26
Divide both by -13
x=2

When do you draw a hole in a piecewise function?

Answers

Answer:

you just draw a circle indicating that it is a hole. Your welcome

Richmond High School purchased 90 graphing calculators for $110
each. The school received a manufacturer's rebate of $10 per
calculator. After the rebate, what was the total cost of the
calculators?

Answers

Answer:

$9000

Step-by-step explanation:

110 x 90 = 9900

90 x 10 = 900

9900 - 900 = 9000

I WILL GIVE YOU 20 POINTS AND THE BRAINLYEST
all of the points in the picture are on the same line.

Find the slope on the like exain or show your reasoning

write and equation for the line.

find the values for A and B. Explain your reasoning. ​

Answers

Answer/Step-by-step explanation:

✍️Slope of the line using two points, (2, 2) and (6, 10),

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{10 - 2}{6 - 2} = \frac{8}{4} = 2 [/tex]

✍️To find the equation of the line in slope-intercept form, we need to find the y-intercept (b).

Substitute x = 2, y = 2, and m = 2 in y = mx + b, and solve for b.

2 = (2)(2) + b

2 = 4 + b

2 - 4 = b

-2 = b

b = -2

Substitute m = 2 and b = -2 in y = mx + b.

✅The equation would be:

[tex] y = 2x + (-2) [/tex]

[tex] y = 2x - 2 [/tex]

✍️To find the value of a, plug in (a, 8) as (x, y) into the equation of the line.

[tex] 8 = 2(a) - 2 [/tex]

[tex] 8 = 2a - 2 [/tex]

Add 2 to both sides

[tex] 8 + 2 = 2a [/tex]

[tex] 10 = 2a [/tex]

Divide both sides by 2

[tex] \frac{10}{2} = a [/tex]

[tex] 5 = a [/tex]

a = 5

✍️To find the value of b, plug in (4, b) as (x, y) into the equation of the line.

[tex] b = 2(4) - 2 [/tex]

[tex] b = 8 - 2 [/tex]

[tex] b = 6 [/tex]

A plane travels 264 miles in 1.1 hours against the wind. On the return trip, it travels the same 264 miles in 1
hour. Find the speed of the wind.

Answers

Answer:

The speed of the wind is 12 miles per hour.

Step-by-step explanation:

Given that the plane travels 264 miles in 1.1 hours with a headwind, the following calculation must be performed to determine its speed:

264 / 1.1 = X

240 = X

Thus, the speed of the plane into the headwind was 240 miles per hour. Now, on the return, with the wind in favor, the route is completed in exactly 1 hour.

Therefore the wind exerts a difference of 24 miles per hour between one trip and another, with which, if it remains stable, its speed is 12 miles per hour (24 / 2).

Which of the following values are solutions to the inequality 9 < -10 – 4x?

Answers

Answer:

ndndndndndn

Step-by-step explanation:

svhddbxbdnnddjdnfn

please help

compare. Write <, >, or =.

Answers

Answer:

1. <

2. >

3. >

4. =

5. <

6. <

7. >

8. >

9. >

10. <

11. >

12. <

13. <

14. =

15. =

16. =

Step-by-step explanation:

275964.618882 the nearest hundreth

Answers

275964.62 is to the nearest hundredth

275964.62 is to the nearest hundredth

Step-by-step explanation:

If you have $25 and your friend wants to borrow $18 what percent of your money is he borrowing? *

Answers

Your friend is borrowing 72% of your money. Please comment if you need further explanation I’d be happy to walk you through how to solve it!

A student finds a positive correlation between the number of beds in a home and the number of plates in the kitchen.

Which variable is most likely the lurking variable that explains the correlation?




A: height of tallest person in the home

B: age of oldest person in the home

C: number of children in the home

D: number of pets in the home

im not doing great in math and i really need some help with this

Answers

C. The number of people in the home. This is because the more people in the house, more people are eating and using plates and there are going to be more beds for everyone to sleep on.

Answer:

here you go this is for confirmation

Step-by-step explanation:

Answer this math question and ill give brainliest

Answers

Answer:

6 squares!

Hope this helped! :)

6 units (unless it’s there’s already a unit then just use that unit. it’s most likely cm)

Yesterday, the temperature in a city dropped from 9°C to –9°C, as shown below.



The expression 9 + (–18) represents the final temperature. Which of the following is an equivalent way to describe this temperature?

|–18| degrees in a negative direction from 9 degrees

|–18| degrees in a positive direction from 9 degrees

|–9| degrees in a negative direction from 9 degrees

|–9| degrees in a positive direction from 9 degrees

Answers

Answer:

b

Step-by-step explanation:

absoulute value is never negative.

Gabriela drank three fourths of her glass of milk and jenny drank six eighths of her glass of milk if the glasses were the same size did they drink the same amount ? Use cross multiplication to prove your answer

Answers

Answer:

just croos multi

Step-by-step explanation:

its very easy

3/4•6/8= 9/16. Explanation: first you multiply 3/4•6/8. You would need to cross off 6 and 4. The six should be a three and the four should be a two. The answer should be 9/16. I hope that this helps!

True or False

Gross income is the amount of money you earn before taxes
________________________

Net income is after taxes.
________________________

There are 24 pay periods in a year if you are paid monthly.
________________________

Regular or straight time pay is calculated by the hourly rate X hours worked.
___________________________

Piecework is when you are paid for each item of work that you do.
__________________________

Fill in the blank

When I earn extra money based on the amount I sell, this is called____________________________.

Overtime begins when a person works more than _____ hours per week.

Social Security, Federal , and ______________ taxes will be deducted from an employee’s paycheck.

Overtime Pay is an Act covered by ______________________________________________________.
Annual salary is calculated by dividing the salary by _____________________________________.

Answers

Answer:

True

Step-by-step explanation:

Gross income is prior to any deductions, expenses, or other appropriations have been taken out.

2. True

Net income is after taxes

3. False

This would be biweekly if 24 payperiods

4. True

5. True

Fill in blank

1. Commission (I think)

2. 40

3. State

4. Dept of Labor; act is called Fair Labor Standards Act

5. Fair Labor Standards Act

6. if you need to know annual salary, then mulitply your gross income by the number of payperiods in one year, if you need to know your monthly salary then divide the annual salary by 12 to get monthly.

Complete the area model. Find the product of 2.3 x 1.5

Answers

The product of 2.3 × 1.5 from the area model is 3.45

The product of two numbers implies the multiplication of the two numbers. Here, the two numbers to be multiplied together are decimal numbers.

Using the long multiplication method.

     2.3

×     1.5    

   1 1 5

+ 2 3      

  3 . 4 5  

So, what we did basically is to first multiply the two numbers normally and then, decide how many decimal places are the two numbers which two.

Therefore, the product of 2.3 × 1.5 from the area model is 3.45

Learn more about product of a number here:

https://brainly.com/question/21264607?referrer=searchResults

What does 0.05 x 300 represent?

Answers

Answer:

15

Step-by-step explanation:

Find three consecutive odd integers such that the sum of the first and the third is 34,


HURRY PLEASE

Answers

Answer:

15,17,19

Step-by-step explanation:

assume the first number is X which means the third number will be X+4 so X+ X+4=34

solve for X which will be 15

thus the numbers are 15,17 and 19

Enter the correct answer in the box.
This graph represents a transformation of the parent cube root function.

Answers

Answer: h is 5 and k is 2

Step-by-step explanation:

The equation of the transformed of the parent cube root function is

y = ∛(x-4) - 1.

How to know if a point lies in the graph of a function?

All the points (and only those points) which lie on the graph of the function satisfy its equation.

Thus, if a point lies on the graph of a function, then it must also satisfy the function.

The given graph represents a transformation of the parent cube root function.

The Parent cube root function is

y = ∛(x -h) - k

where the value of h  and k is equal to 0

h=0, k=0 in parent function

The graph changes direction at (0,0) in parent function.

From the given graph we can see that the graph changes direction at (4,-1) which means the graph is shifted 4 units to the right and 1 unit down

So, the value of h=4  and value of k=1

The equation of the transformed function,

y = ∛(x-4) - 1

Learn more about points lying on graph of a function here:

brainly.com/question/1979522

#SPJ5

2. Here are some unfinished calculations. Complete them to find each difference.

Answers

U haven’t told us what the question is but u have to turn it into an improper fractions first and then find a common multiple in both denominators pls mark me as brainliest

Help plz math algebra honors?!

Answers

Answer:

y=1

To check your answer:

20(1)-7=13

20-7=13

13=13

The answer is 1 definately

The new Xbox series gaming console sells for 499 all units are sold out at stores but can be found online for 34% more than the original price how much would it cost to get it online at the marked up price

Answers

I think Xbox gaming consoles are good
Other Questions
A group of similar cells that come together to perform a common function 2 pointsis what? *An Organ systemA TissueAn OrganThe Matrix f(x) = 2x + 1h(x) = one-halfx one-halfh(x) = one-halfx + one-halfh(x) = one-halfx 2h(x) = one-halfx + 2 Read the excerpt from On the Mountain.Jess had done enough climbing to know that most accidents happen when you're going downhill, so she was careful as she headed back. The first mile or so was easy, but during the second mile, she began to get a little nervous. As she went farther down, she began to be less frustrated with Will. He was her climbing companion, and he was supposed to stay with her, but the reverse was true, too. She had abandoned him there on the path. For all she knew, something could have happened to him. Feeling worried, Jess moved faster down the mountain.Which statement provides the best summary of the scene?1. Jess is frustrated with Will, so she rushes down the mountain.2. Jess becomes less angry with Will and begins to think about his safety.3. Jess feels guilty for abandoning her climbing companion. 4. Jess slows down as the trail unexpectedly narrows during the second mile. A regression line has a slope of 2.334. If the mean of the x-coordinates of the data points is 6.607, and the mean of the y-coordinates is 10.738, what is the y-value of the y-intercept of the line to three decimal places? Miguel's parents drove him to a track meet that was 305 km away from the school. It took them 3 hours, which included a 30 minute break for breakfast. What was their average speed?A.101.7 km/hB.915 km/C.122 km/hD.275 km/h hich of the following is not a way that the Treaty of Versailles punished Germany after World War 1? Find the length x of QR Graham has enough fencing to enclose a rectangular garden with a perimeter of 140 feet. If the width of his garden is 20 feet less than the length, what is the width of the garden? PLEASE HELP brainliest if correct + 70 pointsAs Reconstruction came to an end, Southern Democrats disenfranchised African Americans byA: overturning the Fourteenth Amendment.B: passing new voting requirements.C: organizing a series of filibusters.D: abolishing literacy tests for all voters. Identify the number with the correct number of significant figures for each step of the calculation.y equals 2.10 StartBracket 9.0 plus 2.000 times 35.35 EndBracket.2.000 (35.35) = Vincente slept 5 more hours this past weekend than Dorinda. Dorinda only slept half as many hours this weekend as Sade. 1. Write an expression that shows how much Vincente slept in terms of Dorinda.2. Write an expression that shows how much Dorinda slept in terms of Sade.3. Write an expression that shows how much Sade slept in terms of Vincente. Helpp A car used 1/64 of a gallon of gas to drive 1/4 of a mile. At this rate, how many miles can the car travel using 1 gallon of gas? PLS HURRY!!!!Write a short paragraph explaining the ecological benefits to high-yield agricultural techniques. What information can a foliated metamorphic rock provide you about the conditions under which it formed? I need help with figuring out how to calculate the frequency of light, because my teacher's notes are generic. When I asked her about it on top of another question; she only answer that other question" and never talked about the notes. Why was the Church of England established? PLEASEEE HELP ITS FOR A GOOD CAUSE !! Determine the number of Au atoms found in 5.18 grams of gold.A.1.02x1022 atomsB. 3.84 x 1022 atomsC.2.13 x 1022 atomsD.4.58x1022 atoms1.58 x 1022. atomsPlease let me know In which stage of the writing process does a writer organize the topic of each paragraph based on research?draftingrevisingprewritingconcluding If someone could change something about them or their past what would it be? and why?