Answer:
a) the velocity of particle is -Aωsin (ωt + δ)
b) the velocity is zero when t = (nπ - δ) / ω, n ∈ Z
Step-by-step explanation:
Given that;
s = A cos(ωt + δ)
(a)
Find the velocity of the particle at time t
the velocity of the particle is given as; v = ds/dt
so differentiate s = A cos(ωt + δ) on both sides with respect to t
v = ds/dt = d/dt [ A cos(ωt + δ) ]
v = A d/dt cos(ωt + δ)
v = -Asin(ωt + δ) d/dt(ωt + δ)
v = -Aωsin (ωt + δ)
therefore, the velocity of particle is -Aωsin (ωt + δ)
b)
When is the velocity 0?
Now since the velocity will be zero; lets set v = 0
-Aωsin (ωt + δ) = 0
sin (ωt + δ) = 0
ωt + δ = nπ
ωt = nπ - δ
t = (nπ - δ) / ω, n ∈ Z
Therefore the velocity is zero when t = (nπ - δ) / ω, n ∈ Z
A copy machine can print 480 copies every 4 minutes. For each question, explain or
show your reasoning.
A teacher printed 720 copies. How long did it take to print?
6 min
8 min
12 min
Help!!
5
The population of Austin is growing at a rate of 6% per year. In 2015, the
population was 650,000. What would be the predicted current population
for 2020?
Answer:
The answer is 869,843.
Step-by-step explanation: Y= 650,000 (1.06)^5
= 650,000 (1.33822)
= 869,843
find the difference 41 - 275
Answer:
-234
Step-by-step explanation:
Subtracting 275 from 41 would equal -234.
The difference between 41 and 275 is -234.
To find the difference between 41 and 275, we perform subtraction.
Subtraction is the process of finding the difference between two numbers. In this case, we are subtracting 275 from 41, which means we want to find how much smaller 275 is compared to 41.
Let's set up the subtraction:
41
- 275
Starting from the rightmost column, we subtract 5 from 1. Since 5 is greater than 1, we borrow 1 from the tens column, making the ones column 11 - 5 = 6. Then, we move to the tens column and subtract 7 from 4, which is not possible without borrowing from the hundreds column. So, we borrow 1 from the hundreds column, making it 3 - 1 = 2. Now, we can subtract 7 from 12 in the tens column, which gives us 5. Finally, we subtract the 2 in the hundreds column from 2, resulting in 0.
The final result is 234, indicating that 275 is 234 units larger than 41. In other words, the difference between 41 and 275 is 234.
Subtraction is an essential arithmetic operation used in various real-life situations, such as calculating changes in quantities, measuring distances, determining differences between values, and more. Understanding subtraction helps us comprehend the relationships between numbers and enables us to solve a wide range of mathematical and practical problems.
To know more about difference between :
https://brainly.com/question/13092914
#SPJ2
I WILL MARK BRAINIEST
There should be one more that is correct
Answer:
1 and 2 or E
Step-by-step explanation:
If you look, they are right next to each other. This should be correct.
Hope this helps :D
Adjacent angles are angles that share a side and a vertex.
So using that information we can determine from the picture that the angles that are adjacent are:
A) <2 and <3 are adjacent angles
C) <1 and <5 are adjacent angles
E) <1 and <2 are adjacent angles
G) <4 and <6 are adjacent angles
I hope this helps!
PLEASEEE HELP PICTURE ABOVEEE ASIWNS ASAP
Answer:
B
Step-by-step explanation:
PLEASE HELP ILL MARK BRAINLIEST
Answer:
y=x-3
Step-by-step explanation:
How to write 10^3 as a multiplication expression having repeated factors
Answer: 10 x 10 x 10 = 10 to the third power.
Step-by-step explanation:
Answer:
10 • 10 • 10
Step-by-step explanation:
Determine two coterminal angles (one positive and one negative) for the given angle.
-36
A worker on a scaffolding 75 ft above the ground needs to lift a 500 lb bucket of cement from the ground to a point 30 ft above the ground by pulling on a rope weighing 0.5 lb/ft. Choose the integral needed to calculate how much work is required?
Answer:
W = 15900 ft.lb
Step-by-step explanation:
From the given information.
Consider y to be the distance from the ground towards the bucket of the cement.
At height y, suppose the bucket is lifted by Δy.
Then, the workdone can be = 500Δy + 0.5(75 - y) Δy
where;
The bucket of the cement = 500Δy
The remaining of the rope = 0.5(75 - y) Δy
However; the workdone (W) can be calculated as:
[tex]W = \int^{30}_{0} \ 500 \ dy + \int^{30}_{0} \ 0.5 (75-y ) \ dy[/tex]
[tex]W = 500 \times 30 + 0.5 \bigg(75 \times 30 - \dfrac{1}{2} \times 30^2 \bigg )[/tex]
W = 15000 + 0.5 ( 2250 - 450)
W = 15000 + 900
W = 15900 ft.lb
The required work is [tex]15,900 \ ft-lb[/tex].
Integral Calculus:Integral Calculus is the branch of calculus where we study integrals and their properties. Integration is an essential concept which is the inverse process of differentiation. Both the integral and differential calculus are related to each other by the fundamental theorem of calculus.
Let [tex]x[/tex] be the distance from the ground to the bucket of cement.
At the height [tex]x[/tex], if the bucket is lifted by [tex]\Delta x[/tex], the work done is,
[tex]500\Delta x+0.5\left ( 75-x \right )\Delta x[/tex].
(See the attached figure below).
The [tex]500\Delta x[/tex] term is due to the bucket of cement; the [tex]0.5\left ( 75-x \right )\Delta x[/tex] term is due to the remaining cable.
So, the total work, [tex]W[/tex], required to lift the bucket is,
[tex]W=\int_{0}^{30}500dx+\int_{0}^{30}0.5\left ( 75-x \right )dx \\ =500.30+0.5\left ( 75.30-\frac{1}{2}30^{2} \right ) \\ =15,900 \ ft-lb.[/tex]
Learn more about the topic Integral Calculus: https://brainly.com/question/20733870
A supermarket is having a sale on canned foods. The sale includes 10 cans of beans for $12.50. What is the unit price per can of beans? A $0.80 C $1.75 B $1.25 D $2.25
(please show steps if you can)
thanks
Answer:
B. $1.25
Step-by-step explanation:
Sorry I didn't show the steps, but I hope this helps!
Answer:
10 cans of beans=12.50
Price per can of beans=12.50÷10
=1.25
Answer is B. 1.25
Steve leaves his cabin and walks 32 km due south. He then turns and walks 24
km due east. How far does Steve have to walk to return directly to the cabin?
PLZ HURRY!!!
What is the equation of the line in slope-intercept form?
Line on a coordinate plane. The line runs through points begin ordered pair negative 5 comma 0 end ordered pair and begin ordered pair 0 comma 3 end ordered pair.
Enter your answer in the boxes.
y =
x +
Answer:
y = [tex]-\frac{3}{5}[/tex] x + 3
Step-by-step explanation:
To find slope you need to take y2-y1 divided by x2-x1. First to the subtraction. Y2 is 3 in this problem and y1 is 0. X2 is 0 and x1 is 5. 3-0 = 3 and 0-5 = -5. Now we have the equation [tex]-\frac{3}{5}[/tex] as the slope.
Slope-intercept form is y= mx+b so plug in [tex]-\frac{3}{5}[/tex] to get y = [tex]-\frac{3}{5}[/tex] x + b
The y-intercept is the coordinate where the x is equal to zero. (0,3) is the coordinate that meets this requirement. The y coordinate is 3 so that is the y-intercept. Plug that in to y = [tex]-\frac{3}{5}[/tex] x + b to get = [tex]-\frac{3}{5}[/tex] x + 3.
The other person was parcially correct, but here is the right answer:
please I need the answer to this
The equation is y=1x-2
Step-by-step explanation:
Is this the answer u needed?
PLZ SOMEONE ANSWER
TOPIC: Should students be required to participate in at least 1 after school extra-curricular activity?
I am writing for the __________ side. (affirmative or negative)
1. 3 claims we can start off with are….we can support these claims by……
2. Our opponent believes….., however you should believe our side for the following reasons…..
3. The summary of the stance we are taking for our debate in 25 words is….
Answer:
No, students should not have to partake in extra after school activities. This is because, Students already have to work for about 7-8 hours, and then come home to maybe take care of sick parents, siblings, take care of pets, cook dinner, clean, study, do homework, and a lot more. It wouldn't be fair towards the student if they had add on stress. It's already tough to finish school and homework alone, and if you wanna throw on something else to their cheduloe they would never have time for themselves, or to get a good night of sleep to keep up their good grades.
hope this helps!!! If it did can I have brainly?? I'm trying to level up :)
A nut-raisin mix costs $5.26 per pound. Rashid buys 15.5 pounds of the mix for a party. Rashid’s estimated cost of the nut-raisin mix is
$16.
$22.
$61.
$80
Answer: $80
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
i took the test
Blank divided by 8= 6 remainder 2
Answer:
50/8 = 6 remainder 2.
Step-by-step explanation:
Find the equation of the line.
Use exact numbers.
Answer:
y=3/4x-2
Step-by-step explanation:
y=mx+b
the b is the y-intercept so find the y-intercept of the line:
which is -2
the slope you need to find two points and look how many times do you need to rise or run to get the answer: 3/4
Hope this helps!
Identify the equation that describes the line in slope-intercept form.
slope =2; y-intercept =−4
Answer:
Y=2x-4
Step-by-step explanation:
Answer: y= 2x-4
Step-by-step explanation: The slope intercept form is y=mx + b . M is equal to the slope and b is equal to the y intercept. Substitute in accordingly.
Can someone please help me
Answer:
x = -6 + 2/3y
y = 9 + 3/2y
Step-by-step explanation:
FOR x:
-3x + 2y = 18
-3x = 18 - 2y
x = -6 + 2/3y
FOR y:
-3x + 2y = 18
2y = 18 + 3y
y = 9 + 3/2y
Jill worked five hours less than three times the number of hours that Karen worked. Which of the following equations represents the relationship between j, the number of hours that Jill worked and k, the number of hours that Karen worked?
Answer:
k x j5=x
Step-by-step explanation:
What is 18/25 simplified and can it be simplified?
Answer:
That is a simplified as it can get.
Step-by-step explanation:
Answer:
it is already simplified so no it cant be simplified
Step-by-step explanation:
18 is an even number 25 is an odd number
please answer this!!quick
Answer:
the answer is y = 3/4x + 1/2 (I think sorry if wrong)
Work out the value of angle x and how ??
Answer:
160 degrees
Step-by-step explanation:
Step 1: A straight line is 180 degrees. So 180 - 100, is 80 degrees. as the opposite angle measurement of the 100 degree.
Step 2: An isosceles triangle has two equal angle measurements, so two of its angles are 80 degrees.
Step 3: All angles in a triangle equal 180 degrees. So add them up (we will call the missing angle, Z) 180 = 80+80+Z. which equals 180= 160+z
Step 4: Solve it. You subtract 160 from both side which comes out to 20 = Z.
Step 5: Now you have the opposite angle of X. Going back to step 1, A straight angle is 180 degrees. 180 - 20 = 160. X = 160 degrees
Which statement is true about the value of |6| 15 points
Answer:
|6| = 6
Step-by-step explanation:
I don’t see the answer choices but those bars are an absolute value sign
Absolute value: the number inside the bars cannot be negative
Answer:
Absolute value of 6 is 6.
Step-by-step explanation:
"6" is 6 away from zero, and "−6" is also 6 away from zero.
Find the discriminant.
4y? – 3y + 3 = 0
Compare the steepness of the following lines and explain your reasoning.8x + y = 1
&
-8x+y=2
The function f(c)=c/20 represents the number of ferry boat trips, f(c) needed to transport c cars in one day. If there are no more than 5,000 cars transported by the ferryboat daily, what is the maximum value for the function f?
Answer:
250
Step-by-step explanation:
Equation is f(c)= c/20
We know that there are NO MORE than 5,000 cars transported.
New equation would be
f(5000) =5000/20
5k divided by 20 is 250
less or equal to 250 in a euation would be
f(c) < or equal to 250
set up an equation and solve for x
Answer:
x=-7
Step-by-step explanation:
[tex]We\ are\ given\ that,\\Angle\ 1 =72+x\\Angle\ 2=x+122\\Hence,\\We\ observe\ that\ Angle\ 1\ and\ Angle\ 2\ are\ co-interior\ angles\ ; and\ as\ the\ lines\ are\ parallel\ \\They\ are\ supplementary.\\Hence,\\Angle\ 1\ +\ Angle\ 2\ =180\\(72+x)+(x+122)=180\\2x+194=180\\2x=180-194\\2x=-14\\x=-14/2\\x=-7[/tex]
What is the percent of change if 18 is increased to 45?
45 - 18 = 27, and 27/18 = 1.5.
So 45 is a 150% increase from 18.
If Oscar the ostrich travels 74 miles in 2 hours on land, how fast does he travel?
A.
38 mph
B.
148 mph
C.
35 mph
D.
37 mph
Answer:
the answer is d
Step-by-step explanation:
bc 74÷2= 37
therefore it is 37 mph
