rearrange U=1/2KX2 make x the subject
= 1/2kx2
U = potential energy of a spring at a certain position
k = the spring constant, specific to the spring, with units N/m.
x = distance the spring is stretched or compressed away from equilibrium
Potential Energy: Elastic Formula Questions:
1) A spring, which has a spring constant k = 7.50 N/m, has been stretched 0.40 m from its equilibrium position. What is the potential energy now stored in the spring?
Answer: The spring has been stretched x = 0.40 m from equilibrium. The potential energy can be found using the formula:
U = 1/2kx2
U = 1/2(7.50 N/m)(0.40 m)2
U = 0.60 N∙m
U = 0.60 J
Question 9
What is the equation of the function shown in the graph?
y=2x
y=−12x
y=12x
y=−2x
Answer:
y=-2x
Step-by-step explanation:
Write an equation and solve:
Blake and two of his friends are going to an amusement park. The cost of admission to the park is $39.95 per person. Once they are in the park, Blake and his friends ride the race cars, which require an additional fee. If the total amount spent by all three boys is $143.70, then what is the additional fee to ride the race cars?
Answer:
3(c + 39.95) = 143.70; $7.95
Step-by-step explanation:
f(x)=4^x and g(x)=4^x+2
State the type of transformation from f(x) to g(x) in the problem above and including its distance moved.
Given:
The two functions are:
[tex]f(x)=4^x[/tex]
[tex]g(x)=4^x+2[/tex]
To find:
The type of transformation from f(x) to g(x) in the problem above and including its distance moved.
Solution:
The transformation is defined as
[tex]g(x)=f(x+a)+b[/tex] .... (i)
Where, a is horizontal shift and b is vertical shift.
If a>0, then the graph shifts a units left.If a<0, then the graph shifts a units right.If b>0, then the graph shifts b units up.If b<0, then the graph shifts b units down.We have,
[tex]f(x)=4^x[/tex]
[tex]g(x)=4^x+2[/tex]
The function g(x) can be written as
[tex]g(x)=f(x)+2[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]a=0,b=2[/tex]
Therefore, the type of transformation is translation and the graph of f(x) shifts 2 units up to get the graph of g(x).
Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 125 millimeters, and a standard deviation of 7
millimeters.
If a random sample of 44 steel bolts is selected, what is the probability that the sample mean would be greater than 127.1 millimeters? Round your
answer to four
decimal places
Answer:
P(X > 127.1) = 0.0233
Step-by-step explanation:
We are given;
Population mean; μ = 125 mm
Sample mean; x¯ = 127.1 mm
Sample size; n = 44
Standard deviation; σ = 7 mm
Formula for test statistic is;
z = (x¯ - μ)/(σ/√n)
z = (127.1 - 125)/(7/√44)
z = 2.1/1.0553
z = 1.99
From z-table attached;
P(X > 127.1) = P(z > 1.99) = 1 - 0.97670 = 0.0233
which proportion can be used to solve for f in the figure above?
Answer:
You could use the Pythagnerum Theorem
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
f/m=p/f
Guys I need helppp pleaseee
Answer:
For every 3 strikes thrown, there were 2 balls thrown.
A rectangular prism has a volume of 168 cm³. A rectangular pyramid has the same height as the rectangular prism and a base that is congruent to the base of the rectangular prism. What is the relationship between the volume of the rectangular prism and the rectangular pyramid?
Answer:
c
Step-by-step explanation:
The volume of a rectangular pyramid is 1/3 the volume of a rectangular prism. The volume of the rectangular pyramid is 56 cm3.
Answer:
c
Step-by-step explanation:
Help with math thanks so much!!!!
Please Help - I NEED DIS MATH PEEPS
Answer:
Tank B
Step-by-step explanation:
Tank B is further than the point for tank A and it is lower than tank A so that means that it is filling up faster with less amount of water in it.
(2,11) and (-3,6) slope we need to find b and write equations
Answer:
Step-by-step explanation:
(2,11)(-3,6)
-3-2/6-11
-5/-5
m=1
y=mx+b
11=1(2)+b
11=2+b
b=9
y=x+9
b—> 9
Slope: 1 (The y value increases the same amount as the x.)
Subtract Your answer should be a polynomial in standard form a (5p ^ 3 - p) - (7p ^ 2 + 4p - 3) =
Answer:5p^3−7p^2−5p+3
Step-by-step explanation:
Answer:
By subtracting you will get 5p ^ 3 - 7p ^ 2 - 5p + 3
i put this as comment on accident sorry lol
Help me pls I need help cause I don’t get it
Pls help! Thank you!
Answer:
no thank you
Step-by-step explanation:
put on 0
let A={1'3'5'6}
B={0'7}
check whether A and B are disjoint sets
Given:
The sets are [tex]A=\{1,3,5,6\}[/tex] and [tex]B=\{0,7\}[/tex].
To find:
Whether A and B are disjoint sets or not.
Solution:
Two sets are called disjoint sets if there are no common elements between them.
We have,
[tex]A=\{1,3,5,6\}[/tex]
[tex]B=\{0,7\}[/tex]
Clearly, there is not common elements between the set A and set B.
Therefore, the sets A and B are disjoint sets.
(I ready) help plz i need you!!Fill in the blanks to explain how bog bodies can tell us a lot about the past.
Option 1: rulers,mummies, scientists
Option 2: buried, preserved, wrapped
Option 3: killed, discoursed, removed
Option 4: everyone, workers, kings,
Answer:
option 3 is killed and option 4 is I think it's everyone I think its that though hopefully this helped you.☺️
Answer:
Hey!
I think these might be the answers:-
Bog bodies are mummies. Some are so well preserved that you can see hair on their arms. One bog body, Cashel Man, had severe injuries. This told the scientist that he had been killed. Cashel Man lived during the Bronze Age. This told scientists that Bronze Age people buried kings in bogs.
How many lines of symmetry does the flower
have?
Answer:
6
Step-by-step explanation:
Each line can be placed directly in the middle of each pedal and continues down to middle of pedal across from it and same thing for the divit in between each pedal
The number of lines of symmetry does the flower have is to be considered as the 6.
Calculation of the number of lines of symmetry:In terms of geometry, symmetry refer to the balanced and proportionate similarity that should be found in two halves of an object. It represents one-half to be the mirror image of the other half.
So here we can see that there are 6 parts so here the number of lines of symmetry should be 6.
Learn more about symmetry here: https://brainly.com/question/24335111
quizizz thx 10 pts each brainiest guaranteed with pic
Answer:
option B
polynomial cannot have negative power
hope it helps
5x + 2y =17
3x +2y=13
can someone help me with this task please?
Answer:
look at the picture i sent please
please help me!!!!!! 30 points
Answer:
i believe it is c or b
Step-by-step explanation:
Answer:
y=2x+2
Step-by-step explanation:
2 is the y intercept and you get the formula y=mx+b so b=2 and m is the slope which is rise over run to get 2.
What's
2/3 + 1/6 =
1/3 + 2/4 =
1/2 -1/4 =
3/8 - 1/3 =
Jeremiah ran for 3/10 of a mile and then walked another 2/5 of a mile. How far did he travel in all?
Elisa has 3/4 cup of flour. She used 3/6 to make cupcakes. How much flour does Elisa have left?
Daniel read 4/5 books and Edgar read 1/2 books. How many more books did Daniel read than Edgar?
Jared drove 2/8 miles to the restaurant. He drove another 1/4 miles to the mall. How many miles did he drive in all?
Answer:
A. 5/6 B. 5/6 C. 1/4 D. 1/24
Step-by-step explanation:
A. 12+3= 15 = 5
— — —
18. 18. 6
B. 4+6=10= 5
— — —
12. 12. 6
C. 4-2=2 = 1
— — —
8. 8. 4
D. 9-8 = 1
— —
24. 24
a catering service offers 4 appetizers 8 main courses and 3 desserts
Oh, cool! I would love all that food. Food is life.
What was the question though?
Your chances of winning a prize in a raffle are 1/50. If 1,000 tickets are sold, how many people will win prizes if each person can only win one prize?
Due 12:00 pm PST
Answer:
20
Step-by-step explanation:
Answer:
1/20 people will win
Step-by-step explanation:
How do you work out the range in a dot plot
Answer:
By examining the line plot, we find the number with the maximum number of crosses or occurrences. This gives the mode of the data set. We find the smallest and the largest number from the data set and find their difference and this difference is the range of the given data set.
PLS SOLVE THE LAST OF MY POINTS ಥ_ಥ
Answer:
y = 45 / 2x + 50
Step-by-step explanation:
The best equation for the line of the best fit would be y = 45 / 2x + 50.
The slope would be 45 / 2 and the y-intercept would be ( 0 , 50 ).
I used the points, ( 0 , 50 ) and ( 4 , 140 ) to get the equation, slope, and the y-intercept.
I used those points because they were the most accurate ones that I know for now.
Also, remember the formula is, "y = mx + b."
divide 501.555 by 5 and give answer in 2 decimal number
Answer:
100.31
I hope this helps
The equation y+6=3(x=9) is written in point-slope form. What is the equation written in slope-intercept form?
o y- šx-3
o y-gx+9
orax-
O
-9
y-3x+3
Answer:
C- third option
Step-by-step explanation:
1. you would have to distribute the 1/3 to both x and 9
2. then cancel out the 6 from both sides to get your answer in slope-intercept form
A man borrowed a sum of money from bank at an interest rate of 12%. After 1 year he paid
GHC896,000 to settle the loan and the interest. How much did he borrow from the bank?
In how
many ways can the letters of the word TABLE be arranged
so that the vowels are always together and seperated
Answer:
48 ways
Step-by-step explanation:
Treat the vowels as 1 unit by itself which in this case is A & E.
Imagine filling in 4 slots:
_ _ _ _ , since A&E are treated as 1 letter.
Thus we have 4 ways to fill in 1st slot, 3 ways for 2nd, 2 for 3rd and 1 for last.
which makes 4 * 3 * 2 * 1 = 24.
However, do note A&E can be arranged as AE or EA meaning,
we need to multiply by 2 factorial.
24 * 2 = 48