Answer:
I suppose we start with sin³(2*x) and we want to get:
(1/2)*sin(2*x)*(1 - cos(4*x))
Here we will use the relationships:
cos²(x) + sin²(x) = 1
and
cos²(x) = (1 + cos(2x))/2
Now let's start:
sin³(2*x) = sin(2*x)*sin²(2*x)
and we can write:
sin²(2*x) = 1 - cos²(2*x)
replacing that in the above equation we get:
sin³(2*x) = sin(2*x)*sin²(2*x) = sin(2*x)*(1 - cos²(2*x))
now we can use: cos²(2*x) = (1 + cos(2*2*x))/2
cos²(2*x) = (1 + cos(4*x))/2
if we replace that in the equation above we get:
sin³(2*x) = sin(2*x)*(1 - cos²(2*x)) = sin(2*x)*( 1 - (1 + cos(4*x))/2)
sin³(2*x) = sin(2*x)*( 1 - 1/2 - cos(4*x)/2)
sin³(2*x) = sin(2*x)*( 1/2 - cos(4*x)/2)
sin³(2*x) = sin(2*x)*( 1 - cos(4*x))/2
sin³(2*x) = (1/2)*sin(2*x)*( 1 - cos(4*x))
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
divide 501.555 by 5 and give answer in 2 decimal number
Answer:
100.31
I hope this helps
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?
It this right PLZ HELP!!
Answer:
Yes it is true!
Step-by-step explanation:
Pls help! Thank you!
Answer:
no thank you
Step-by-step explanation:
put on 0
10a3 what is the vocabulary for 10
Answer:
Coefficient
Step-by-step explanation:
If it is 10a^3 (10 times the variable "a" cubed), then 10 is the coefficient.
What is the circumference of a circle whose diameter is 5.7 ft? Use 3.14 for pi . Round your answer to the nearest tenth and enter it in
the box
Answer:
C≈17.91
Step-by-step explanation:
Answer:
17.91
Step-by-step explanation:
(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.)
help pls ill give extra points : )
Answer:
$2.20 per kg
Step-by-step explanation:
divide 6.60 by 3 to get the answer
Answer:
$2.20
Step-by-step explanation:
Take the price and divide it by the amount.
6.60/3 = 2.2
Therefore, the unit price is $2.20 per kilogram.
Help with math thanks so much!!!!
5x + 2y =17
3x +2y=13
What is the Domain, Range, and the vertex for this graph?
Answer correctly pls. I will give brainliest.
Answer:
Step-by-step explanation:
Answer:
Vertex is 3,1
Domain is 0<x<6
Range is : -9<x<1
Step-by-step explanation:
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.
Tammy Ray purchases 20 file cabinets for $986.99. What is
the price per cabinet?
Answer:
49.34Step-by-step explanation:
986.99/20=49.3485
Divide 986.99 by 20 which gets you 49.3485 then just around up the 10.
Hope this helps! Have a great day. Remember your amazing and you got this! Alycia <3
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 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?
How many TRIANGLES can you find?
HELP PLEASE
In AQRS, the measure of ZS=90°, the measure of ZQ=31°, and RS = 27 feet. Find the
length of SQ to the nearest tenth of a foot.
Math help plzzzzzzzxysgzfrhfu
Answer:
d is answer i 100% sure for first
Answer:
A
Step-by-step explanation:
quizizz thx 10 pts each brainiest guaranteed with pic
Answer:
option B
polynomial cannot have negative power
hope it helps
What’s the graph the line with the equation y= 1/2x+5
Step-by-step explanation:
Given
Line is [tex]y=\frac{1}{2}x+5[/tex]
Put [tex]x=0\ \text{to get y}[/tex]
[tex]\Rightarrow y=\frac{1}{2}\times 0+5\\\Rightarrow y=5[/tex]
i.e. line passes through [tex](0,5)[/tex]
Now, put [tex]y=0\ \text{to get x}[/tex]
[tex]\Rightarrow 0=\frac{1}{2}x+5\\\Rightarrow x=-10[/tex]
i.e. line passes through [tex](-10,0)[/tex]
Join these two points to get the line
Guys I need helppp pleaseee
Answer:
For every 3 strikes thrown, there were 2 balls thrown.
Find the measure of the missing angle
60°
90°
65°
25°
The following table shows ordered pairs for a linear function x. Which one of the following equations was used to generate this table?
Answer:
b
5x+3
Step-by-step explanation:
5×3=15+4=18
5×4=20+3=23
5×8=40+3=43
5×10=50+3=53
hope this helps
HELP PLS
If the perimeter of a square is 72 inches, what is its area?
Answer:
I believe 324
Step-by-step explanation:
18x4 is 72 and it's a square so they all have same size
18x18 is 324
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
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
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
Colton has $2400 in his savings account. It earns 3.5% interest each month. How much money does Colton have in his bank account after one month?
Answer:
$2407
Step-by-step explanation:
(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.