Vector Calculus
A particle of mass m move along the path σ(t)={t^2,sin t, cos t} Calculate the force acting on the particle t=0.
It seems like σ(t) is the positive function of the particle. Compute its acceleration by differentiating this function twice.
σ(t) = {t ², sin(t ), cos(t )}
σ'(t) = {2t, cos(t ), -sin(t )}
σ''(t) = {2, -sin(t ), -cos(t )}
When t = 0, the acceleration on the particle is
σ'' (0) = {2, -sin(0), -cos(0)} = {2, 0, -1}
Then the force acting on the particle at time t = 0 is
F = {2m, 0, -m}
by Newton's second law.
Say hey certain manufacturing industry has 63.1 thousand jobs in 2008, but is expected to decline at and average annual rate of 1.7 thousand jobs per year from 2008 to 2018. Assuming this holds true, what will be this industry’s percent change from 2008 to 2018?
a. 70%
b. -27%
c. -17%
d. -75%
solve
[tex]2x + 5 = 12[/tex]
Answer:
x=3.5
Step-by-step explanation:
subract 5 on the other side, than divide by 2
Which equation is parallel to y=-3 x + 4 and passes through the point (-3, 4)?
Answer:
y=−3x-5
Step-by-step explanation:
Answer:
Find the slope of the original line and use the point-slope formula y−y1=m(x−x1)to find the line parallel to y=−3x+4y
y=−3x−5y
If every 1 in 20 plants will not bear fruit. If 200 plants are planted, how many will produce fruit?
Answer:
Step-by-step explanation:
If 1 /20 will not bear fruit then
19/20. Will bear fruit
use ratio method
19/20 = x/200
find x by finding an equivalent fraction
x = 190
190 plants will produce fruit
School lunch costs $1.25 per day. If there are 21 school days
this month, how much would it cost to eat at school all
month?. SHOW YOUR WORK., i need help asap
Answer:
$26.25
Step-by-step explanation:
1.25 per day
21 days
1.25 × 21 = 26.25
Jordan weighed two buckets of sand for a geology project. The first bucket weighed 26.31 pounds. The other bucket weighed 4.39 pounds. How much do the two buckets of sand weigh all together?
Answer:
30.7
Step-by-step explanation:
What are trinomials........
In elementary algebra, a trinomial is a polynomial consisting of three terms or monomials
hope this helped <3
What is the value of arccos (sin(pi/2))
Answer:
0
Step-by-step explanation:
What is 3/5 by 1/2 reduced?
Answer: 1/10
Step-by-step explanation:
I think you mean 3/5 - 1/2?
we need to make the denominators the same, so we find the LCM of 5 and 2, which is 1, so we multiply them to get a common denominator of 10.
Now we multiply 3/5 by 2/2 to get 6/10, and 1/2 by 5/5 to get 5/10.
6/10 - 5/10 = 1/10
can you give brainliest
Milo pays $3 per pound for dog food at Pat’s Pet Palace. The graph below represents the cost per pound of food at Mark’s Mutt Market. At which store will Milo pay a lower price per pound for dog food?
Please help youll get brainliest
What is the percent increase when 7200 increases by 1800? 20 percent 25 percent
Answer:
7200+1800=9000
7200/1800= 72/18= 8/2= 4
100/4 = 25
In Exercises 1-3, graph AABC and its image after a reflection in the given line.
1. A(0, 2), B(1, -3), C(2, 4); x-axis
1.
2. A(-2,-4), B(6,2), C(3. – 5); y-axis
3. A(4, -1), B(3, 8), C(-1, 1); y = -2
Answer:
1. Point A: (0, 2)
Point B: (-1, -3)
Point C: (-2, 4)
2. Point A: (-2, 4)
Point B: (6, -2)
Point C: (3, 5)
3. Point A: (4, -3)
Point B: (3, -12)
Point C: (-1, -5)
Step-by-step explanation:
1.
Reflection of point A:
Reflections over the x-axis are really easy. All you have to do is change the x-coordinate to the opposite sign.
In this case, 0 does not need to change since it already lies on the x-axis.
The coordinate for A will stay the same as (0, 2).
Reflection of point B:
Again, change the x-coordinate to negative.
1 → -1
The coordinate for B will now be (-1, -3).
Reflection of point C:
2 → -2
The coordinate for C will now be (-2, -4).
2.
Reflection of point A:
Reflections over the y-axis are also really easy. This time, all you have to do is change the y-coordinate to the opposite sign.
In this case, -4 would change to just 4.
The coordinate for A will stay the same as (2, 4).
Reflection of point B:
Again, change the y-coordinate to negative.
2 → -2
The coordinate for B will now be (6, -2).
Reflection of point C:
-5 → 5
The coordinate for C will now be (-1, 5).
3.
This is going to be a bit harder than the previous two, but I know you can handle it. :)
Reflection of point A:
The x will stay the same and only the y will change.
Take the y-coordinate and subtract it from the reflection line while getting the absolute value..
|(-1) - (-2)| = |1| = 1
This means, point A is one unit down the line y = -2
(-2) - 1 = -3
The coordinate for A will now be (4, -3).
Reflection of point B:
Again, the x will stay the same and only the y will change.
Using the absolute value, get the y-coordinate and subtract it from the reflection line again..
|(8) - (-2)| = |10| = 10
This means, point A is five unit down the line y = -2
(-2) - 10 = -17
The coordinate for B will now be (3, -12).
Reflection of point C:
I think you get the gist of it.
|(1) - (-2)| = |3| = 3
(-2) - 3 = -5
The coordinate for C will now be (-1, -5).
The red triangle is the original image and the blue triangle is the image after the reflection. The purple line is the reflection line.
Hope this helped!
The graph of Exercises 1-3 that shows AABC and its image after a reflection in the given line can be done using the example from the graph attached.
What is reflection about?A reflection over line is known to be a kind of transformation where each point of the main or original figure (that is the pre-image) is said to be made up of an image that has similar distance from the reflection line.
Note that In a reflection, the image is said to be of similar size and also of the same shape as the original image.
Therefore to be able to construct the graph of Exercises 1-3, one can use the image example by tracing the number values such as A(0, 2), B(1, -3), C(2, 4); x-axis, A(-2,-4), B(6,2), C(3. – 5); y-axis and A(4, -1), B(3, 8), C(-1, 1); y = -2 on the graph and linking them up together to form an angle.
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A robot can complete 7 tasks in 2/5 hour. Each task takes the same amount of time.
a. How long does it take the robot to complete one task?
b. How many tasks can the robot complete in one hour?
a) The robot take 2 / 35 hour to complete one task.
b) The robot complete 35/2 tasks in one hour.
What is mean by Fraction?
A fraction is a part of whole number, and a way to split up a number into equal parts.
Or, A number which is expressed as a quotient is called fraction.
It can be written as the form of p : q, which is equivalent to p / q.
Given that;
A robot can complete 7 tasks in 2/5 hour.
Each task takes the same amount of time.
Now,
Since, 7 tasks = 2/5 hour
So, 1 tasks = 2 / 5×7
= 2 / 35 hour
Thus, The robot take 2 / 35 hour to complete one task.
And, 2/5 hour = 7 tasks
So, 1 hour = 7 x 5 / 2
= 35 / 2
Thus, The robot complete 35/2 tasks in one hour.
Therefore,
a) The robot take 2 / 35 hour to complete one task.
b) The robot complete 35/2 tasks in one hour.
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1.) Seven friends are sharing three packs of Pokemon cards. How much of each pack will each friend get?
Answer: Each friend will get 2 packs of Pokemon cards.
Answer:
2.33333333333
Step-by-step explanation:
7÷3=2.33333333333
what are 4 different slopes
Answer:
negative, positive, zero, and undefined
Step-by-step explanation:
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Answer:
-3/5
Step-by-step explanation:
see the details in the attachment.
A zoo maintains a small patch of bamboo, which it grows as a food supply for its pandas. Four weeks ago, the bamboo was 10 ft 7 in tall. Since then, the bamboo has grown 5ft 12 in. How tall is the bamboo now ?
bamboo has grown 5 ft 12 in. How tall is the bamboo now?
Answer:
16 feet and 7 inches
Step-by-step explanation:
To find how tall the bamboo is now, first add the number of feet together:
10 + 5
= 15
Then, add the inches:
7 + 12
= 19
This can be converted to 1 foot and 7 inches.
Then, add 15 to this:
= 16 feet and 7 inches
So, the bamboo is now 16 feet and 7 inches tall
The current height of the bamboo is given as 16 feet 7 inches tall.
Given that,
A zoo maintains a small patch of bamboo, which it grows as a food supply for its pandas. Four weeks ago, the bamboo was 10 ft 7 in tall. Since then, the bamboo has grown 5ft 12 in.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
4 weeks ago the height of the bamboo = 10 ft 7 in
It increase by 5 ft 12 or 6 ft since then
Current height = 10.7 + 6 = 16.7 or 16 ft 7 in
Thus, the current height of the bamboo is given as 16 feet 7 inches tall.
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Tracy found the length of GF. Her work is shown below.
Triangle A B C has centroid G. Lines are drawn from each point through the centroid to the midpoint of the opposite side to form line segments A E, B F, and C D. The length of line segment A G is 16, the length of line segment G E is 2 x, and the length of line segment B G is 8 x.
16 = 2(2x)
16 = 4x; x = 4
8(4) = 32
GF = 2(32)
GF = 64
What error did Tracy make?
She used AG = 2EG, but the correct statement is 2AG = GE.
She found that x = 4, but the correct value for x is 2.
She used GF = 2BG, but the correct statement is BG = 2GF.
She found that GF = 64, but the correct value of GF is 8.
Answer:
C: She used GF=2BG, but the correct statement is BG=2GF
Step-by-step explanation:
Hope this helps, have a marvelous day!!!!!
Answer:
c
Step-by-step explanation:
A party planner estimates a party will cost $200 plus $8 for each person attending. What is the y-intercept of the graph of the linear function representing the total cost of the party?
Answer:
The y intercept is 200
Step-by-step explanation:
Given
Base Cost = 200
Per person =8
Required
Determine the y intercept
First, we need to determine the equation.
The total amount (y) for x persons can be calculated using:
y = Base Cost + Amount per person * x.
This gives
y = 200 + 8 * x
y = 200 + 8x
The general expression of a linear equation is:
y = mx + b
Where b = y intercept
By comparison,
b = 200
Hence, the y intercept is 200
PLEASE HELP!! MARKING BRAINLIEST. Which of the following is NOT equivalent to 100 to 200?
A 1 to 2
B 50 to 100
C200 to 400
D 20 to 60
Answer: D- 20 to 60
I know this because the others are all equivalent to 1 to 2 but 20 to 60 simplified is 1 to 3
HELP PLEASE:
What is the point-slope form of the line with slope 25 that passes through the point (−4, −7)?
y−7=2/5(x−4)
y+7=2/5(x+4)
y+4=2/5(x+7)
y−4=2/5(x−7)
Answer:
y + 7 = 2/5 (x + 4)
Step-by-step explanation:
(I hope 25 is 2/5)
The formula is y - y1 = m (x - x1), so you put the variables in to y1 and x1 plus add the slope in as m, and there you are! Point slope form. (you also have to flip the signs when putting them in, causing -4 and -7 to become 4 and 7)
Hope this helps!
Which CANNOT be used to prove that lines in and n are parallel?
A. 2 = 4
B. 4 is supplementary to 7.
C. 24 is supplementary to 5.
D. 1 = 5
10. If f(x) = { 2x-5 if x < 4
and f(x) {-2/3 x + 2 when x > 4 What is f(3)?
A.) 1
B.) 3
C.) -1
D.) 3
E.) None of these
help me please I need help :((((((
What percent of 78 is 16?
Answer:
78/16=
39/8=
19.5/4= 4.80805
16 is 20.51% of the number 78.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
let x percent of 78 is 16.
So, x% of 78 = 16
x/100 (78)= 16
78x = 1600
x= 1600/78
x = 20.51%
Hence, 20.51 percent of 78 is 16.
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Y'all what it 10/7 divided by 4
Answer:
.........
Step-by-step explanation:
10/7 x 1/4
10x1/7x4
10/7x4
10/28
5/14
Hope I helped
5/14 is your answer
f(x) = |3x+5| + 6
g(x) =7
find (f+g) (x)
Answer:
(f + g)(x) = |3x + 5| + 13
Step-by-step explanation:
Given
f(x) = |3x + 5| + 6
g(x) = 7
Required
Find (f + g)(x)
In functions
(f + g)(x) = f(x) + g(x)
Meaning that, we simply add the given functions together
So, we have that:
(f + g)(x) = |3x + 5| + 6 + 7
(f + g)(x) = |3x + 5| + 13
Hence, (f + g)(x) when calculated equals |3x + 5| + 13