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?
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.
PLEASE ANSWERRRRRRRRRRRR
Answer:
Bertha picked up more than anica.
Step-by-step explanation:
10 1/3 = 10.33333 which is greater than anica
hiii my dudeeeeeeeeeeee
Answer:hi how’s it going
Step-by-step explanation:
Answer:
hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
Step-by-step explanation:
7-99 Find the missing information in each set of equivalent ratios below, using any method. Be
sure that you record your process so that others can see what you did.
2
15
100
Noo
100
Work for A
37.5
I
Work for B
87.5
0.2
2
х
11.2
Answer:
21 man
Step-by-step explanation:
u have to do the work and get the answer
What is on way feudal japan was different than feudal Europe???? Not mathematics it is history.
What is the missing value in ___x 1/10=0.27
Write a like term to: -5y
Answer:
-7y
Step-by-step explanation:
As long as the variable and exponent is the same, they are like terms
Answer: 68y
There are infinitely many ways to answer this. All you need to do is pick your favorite number and then stick y at the end of it. The terms -5y and 68y are like terms because they have the same variable attached.
You can think of 68y-5y as having 68 yoyos and then subtracting off 5 yoyos to get 63 yoyos when all is said and done. In terms of algebra, we would write 68y-5y = 63y.
A pound of ground beef costs $5 At this rate, what is the cost of 3 pounds
Answer:
$15
Step-by-step explanation:
if one pound is $5 and we need 3, then we can multiply the price of one pound by 3. (3×$5) This gives $15
Cereal. A dietician obtains the amounts of sugar (incentigrams) from 100 centigrams (or 1 gram) in each of 10 differentcereals, including Cheerios, Corn Flakes, Fruit Loops, and 7others. These values are listed below. Is thestandard deviation of those values likely to be a good estimate ofthe standard deviation of the amounts of sugar in each gram ofcereal consumbed by the population of all Americans who eatcereal? Why or why not?
3, 24, 30, 47, 43, 7, 47, 13, 44, 39
Find the range, variance, standard deviation
Answer:
Range is 44
mean is 29.7
variance is 289.56
standard deviation is 17.016
Step-by-step explanation:
The data given as follows
3, 24, 30, 47, 43, 7, 47,13, 44, 39
Range = maximum - minimum
= 47 -3 = 44
mean = [tex]\frac{3+24+30+47+43+7+47+13+44+39}{10}[/tex] = 297/10 = 29.7
variance = [tex]\frac{sum xi^2 }{N} - mean^2 }[/tex]
= 289.56
SD = [tex]\sqrt{variance}[/tex] = 17.016
The standard deviation of the given data is not a good measure as the range and standard deviation are far apart. The standard deviation gives how the given data is dispersed from the mean or expected value, while the range gives a rough idea of variability of the data.
Please help me I’m really dumb
Answer:
d So yah plz tell me if I am right it has Ben a while since I have done this
Step-by-step explanation:
it is d so yah
Find x for each of the problems;
1) 2x+5=12+x
2)5x=30+3x
3)2+x/3=7
4)15-x=17-2x
5)6x= -42-x
6)36-4x=26-3x
7) -2+x=15
Answer:
1) x = 7
2) x = 15
3) x = 19
4) x = 2
5) x = - 6
6) x = 10
7) x = 17
Step-by-step explanation:
1) 2x + 5= 12 +x
-x -x
2x -x + 5 = 12
-5 -5
x = 7
2) 5x = 30 + 3x
-3x -3x
2x = 30
x = 15
3) 2 + x/3 = 7
3(2 + x/3) = (7) 3
2 + x = 21
-2 -2
x = 19
4) 15 - x = 17 - 2x
+2x +2x
15 - x + 2x = 17
-15 -15
x = 2
5) 6x = - 42 - x
+x +x
7x = -42
x = - 6
6) 36 - 4x = 26 - 3x
+3x +3x
36 - x = 26
-36 -36
-x = -10
x = 10
7) -2 + x = 15
+2 +2
x = 17
hope this helps!
PLZZZZZZZZZZZZZZZZZZZZZZ HELP!!!
QUESTION: -2(x-6)=8
STUDENT WORK:
-2(x-6)=8
-2x-12=8
-12 -12
-2x+0=-4
-2x=-4
÷2 ÷2
x=-2
1. Explanation of Errors Made
2. Correct Solution (show all work)
Answer:
The error was made in the division step it should have been divided by negative 2
-2(x-6)=8
-2x+12=8
-2x=-4
-x=-2
X=2
What is the hourly utilization rate of each resource if the bottleneck(s) work nonstop during a 10-hour day?
Answer:
100%
Step-by-step explanation:
Utilization rate =
Hours worked / total working hours per day
Since the bottle works nonstop during a 10-hour day, it worked 10 hours
Utilization rate in percentage = (10/10)×100%
= 100%
There are 6 triangles and 2 circles. What is the simplest ratio of circles to triangles?
Answer:
6:2
Step-by-step explanation:
This simply means for every 6 triangles there are going to be 2 circles, so if you had 12 triangles there would be 4 circles.
So think of it kinda like:
6 triangles = 2 circles and so on.
Answer:
1:3
Step-by-step explanation:
Since the question says ratio of circles to triangles , we will arrange the answer in that order
So,
2:6
Breaking it down,
1:3
Select the more effective use of correlative conjunctions to join these sentences.
The manager of the supermarket will help the new employee. The assistant manager may help the employee, too.
A. Neither the manager of the supermarket nor the assistant manager may help the new employee.
B. Both the manager of the supermarket and the assistant manager may help the new employee.
hurry .
Answer:
b the answer
Step-by-step explanation:
Answer:
Answer is B
Step-by-step explanation:
HELP PLEASE I’ll make you brilliant
Answer:
this is grade what????
Step-by-step explanation:
need helppp on this question!!
Which equation represents this situation?
Charlie worked 1.5 hours less than Dirk. Together, they worked a total of 25 hours. Dirk worked h hours.
h+(h+1.5)=25
h−2.5=25
h+(h−1.5)=25
h−1.5=25
Compare using <,> or = 5 3/4 _ 6 1/4
Answer:
5 3/4 > 6 1/4
Step-by-step explanation:
Every 125 pages that Raul reads during his summer reading challenge, he will collect 5 book points to use at his local library. Which graph models a relationship with the same unit rate?
Answer:
d. J
Step-by-step explanation:
Given that Raul gets 5 (y) book points for every 125 (x) pages he reads during summer challenge, we can say that his unit rate would be: y/x = 5/125 = 1/25.
Raul's unit rate is 1/25 book point to each page he reads.
Graph J also has a unit rate of 1/25 (y/x).
Therefore graph J models a relationship with the same unit rate.
Based on simple interest, how much money would you have borrowed at 6% annual interest if your interest payment for one year was $120?
how to find a inequality
What is 40x52 To the 7 power
Answer:
168,439,267,742,187,520,000,000
Step-by-step explanation:
40*52=2080
2080^7=168,439,267,742,187,520,000,000
the term to term rule of a sequence is divide by 2
Find the mean and the median of the data set. 31,32,36,31,30,35,33,30.
Answer:
Mean = 32.25
median = 31.5
Answer:
Median = 31.5
Mean = 32.25
Step-by-step explanation:
Number of data = 8
Ascending order:
30 , 30 , 31 , 31 , 32 , 33 , 35, 36
Median = Average of 4th and 5th term
= (31 + 32) / 2
= 63/2
= 31.5
Mean = Sum of all the observations /number of observations
= (31 + 32 + 36 +31 + 30 + 35 + 33 +30) / 8
= 258/8
= 32.25
the ratio of the angles in a triangle is 3:10:7, what is the measure of the smallest angle
Answer:
27°
Step-by-step explanation:
Let the measure of the angels be 3x, 10x, 7x.
[tex]3x + 10x + 7x = 180 \degree \\ \\ 20x = 180 \degree \\ \\ x = \frac{180 \degree}{20} \\ \\ x = 9 \degree \\ smallest \: angle \: = 3x \\ \\ = 3 \times 9 \degree \\ \\ = 27 \degree[/tex]
What is the area, in square inches, of this kite?
7 in.
5 in.
5 in.
10 in
(pls help)
Step-by-step explanation:
I think its 85in as the area.
help asap. will give best answer.
Answer:
neither
Step-by-step explanation:
Complete the proof Prove: angle UWX = angle UWV
Answer:
Step-by-step explanation:
Statements Reasons
1). UW bisects ∠VUX 1). Given
2). UW bisects ∠VWX 2). Given
3). ∠VUW = ∠WUX 3). Definition of angle bisector
4). ∠UWV = ∠UWX 4). Definition of angle bisector
5). UW = UW 5). Reflexive property of congruence
6). ΔUWX ≅ ΔUWV 6). ASA postulate of congruence
I need help with this question please
Answer:
It's A
Step-by-step explanation:
A parallelogram only has 4 sides, but pentagon has 5. Also like the name, a parallelogram opposite sides are parallel to each other.