The position of a particle on a straight line is given by s(t) = 3 – cos(t).
A. Find velocity and acceleration at t = 4.3 s.
Round your answers to 2 decimal(s).
v(t) =
a(t) =
Given the position function
s(t) = 3 - cos(t )
differentiate once to get the velocity, and twice to get the acceleration:
v(t) = s'(t) = sin(t ) → v (4.3 s) ≈ -0.92
a(t) = s''(t) = v'(t) = cos(t ) → a (4.3 s) ≈ -0.40
The acceleration is negative, so the particle is slowing down.
41
Which of the following is the first step in estimating the line of best fit on a scatter plot graph?
Place two x's centered in each half of the data points
Plotting the data on the graph
Circle the data points
Divide the data vertically
Answer:
place two X's centered in each half of the data points
Anyone knows this one
Answer:
10 over 11
Step-by-step explanation:
Y2 minus Y1 over X2 minus X1
Answer:
10/11 or 10 over 11 rise
Step-by-step explanation:
Slope formula: (y2 - y1) / (x2 - x1)
(-20 - 0) / (-14 - 8)
(-20) / (-22)
= 10/11
suppose the distnace in feet that an object travels t seconds is given by the formula d=64t^2 how far would the object travel after 1.5 * 10^3 seconds
Answer:
The object travels 144,000,000 feet.
Step-by-step explanation:
The distance the object travel after t seconds is given by:
[tex]d(t) = 64t^2[/tex]
How far would the object travel after 1.5 * 10^3 seconds
This is d when [tex]t = 1.5 \times 10^3 = 1500[/tex], so [tex]d(1500)[/tex]
[tex]d(1500) = 64*1500^2 = 144000000[/tex]
The object travels 144,000,000 feet.
need help this is due in 30 min and boost up my grade to a 87
An administrative assistant can type 100 words in 90 seconds. What is the assistants rate of typing in word per minute....
you might have to round so
Answer:
66.67 (or 66 2/3) words per minute
Step-by-step explanation:
90 seconds is equal to 1.5 minutes.
100 words/1.5 minutes = 66 2/3 words/minute
(also good luck on boosting your grade :) )
On the graph of f(x)=sinx and the interval [0,2π), for what value of x does f(x) achieve a minimum? Choose all answers that apply.
Select all that apply:
0
π/4
π/2
π
3π/2
Answer:
3π/2
Step-by-step explanation:
See attached graph
12. Given f(x) = x - 3 and g(x) = 4x, find g(f(x)).
A. 4x -3
B. 4x - 12
C. 5x - 3
D. 3x3
If y varies directly as x
and x= 4 when y = 14,
find y when x = -10.
2nd time asking! I need answer please.
Answer:
33.49 cubic centimeters
Step-by-step explanation:
Equation for volume: 4/3*π*r^3
Substitute 2 for r and 3.14 for π
4/3*3.14*2^3
To the nearest hundredth is 33.49
What number decreased by 23% is equals 123?
Answer: Lets call the number x
decreased means subtraction. If x is decreased bt 23% then the result is
x-23%(x) = x-(23/100)x or x-.23x
x-.23x=539
.77x=539
x=539/.77
x=700
check: 700-.23(700)=539
700-161=539
539=539
Our answer is correct
Step-by-step explanation:
hope this helps❤️❤️❤️
What is the intercept of
y=-1/2x-1 and y=1/4x-4
Answer: The y-intercept of y = -1/2x -1 is (0,-1)
The y-intercept of y = 1/4x -4 is (0,-4)
The attachment shows the graph of these equations.
Step-by-step explanation:
Both equations are in slope-intercept form. y = mx + b
The constant, b, is the y-intercept.
The y-intercept of y = 1/2x -1 is (0,-1)
The y-intercept of y = 1/4x -4 is (0,-4)
What is y- intercept?On a graph, the y-intercept can be found by finding the value of y when x=0. This is the point at which the graph crosses through the y-axis.
Given:
y=-1/2x-1 and y=1/4x-4
For Finding the y- intercept put x= 0 we get
y = -1/2(0) -1
y= 0- 1
y= -1.
For Finding the y- intercept put x= 0 we get
y=1/4(0)-4
y= 0- 4
y= -4
Learn more about y- intercept here:
https://brainly.com/question/14180189
#SPJ2
5>v+18. Simplify your answer as much as possible. Solve for the inequality for v.
Answer:
v = -13
Step-by-step explanation:
5>v+18
5 - 18 > v
-13 > v
v = -13
i dont know this help me
Tyler has $125.00 to spend on books and CDs. He buys one book for $30.00. He wants to spend the rest on CDs that are on sale for $9.00 each. Which of these statements is true?
a.He can't buy any CDs.
b.He can buy 11 CDs.
c.He can buy more than 11 CDs.
d.He can buy 10 CDs.
Answer:
d. He can buy 10 CDs
Step-by-step explanation:
The reason he can only buy 10 is because if the CDs are $9.00 each then you would multiply:
10 x 9 = $90.00
If you add the $30.00 of books:
$90.00 + $30.00 = $120.00
This means he does not have enough money to buy another CD. He has $5.00 left over.
directions: solve each equation below and type your answer in the answer column. Type all answers in decimal form
Answer:
11. x = 3.5
12. x = 11.75
13. x = 79.6
14. x = 2.2
15. x = 24.80
16. x = 11.75
17. x = 196.5
isnsjsuudd
A librarian was packing some books.
She discarded 22 books with torn pages.
She then packed the rest equally into 9 shelves.
There were 11 books on each shelf.
Answer:
99 books in total...
Step-by-step explanation:
Wheel I has diameter 24.9 in. Wheel II has diameter 21.0 in. Round the diameter of each wheel to the nearest inch. About how much farther will Wheel I travel in one rotation? Use 3.14 for π.
Answer:
76
Step-by-step explanation:
because the other guy said so
directions: solve each question below and type your answers in the answer column. Type all answers in decimal form
Answer:
18. x=2.525
19. x=62.55
20. x=1.75
Step-by-step explanation:
Answer:
18. x = 1.940
19. x = 62.55
20. x = 1.75
Mr. Thomas bought 12 pounds 8 ounces of flour. If he uses 4 ounces of flour for each batch of
sugar cookies, how many batches of sugar cookies can he make? (1)
WHAT IS 7352 divided by 45
Answer:
163.4
Step-by-step explanation:
30 %of 50 pidhdbdjduwywggdhfnfjrhdvdvdndjdjf
Answer:
15
Step-by-step explanation:
50 x .3
Answer:15
Step-by-step explanation:
What property do rectangles and parallelograms always share?
4 right angles
4 sides of equal length
2 pairs of parallel sides
2 acute angles
Answer:
the answer is
2 pairs of parallel sides
I hope this helps!
Select ALL expressions that are equivalent to 5x−3x−8+4+2x
Answer:
Where the picture of your work?
The answer is 4 (x-1)
How many solutions does this linear system have?
y = 2x-5
-8x - 4y = -20
A one solution: (-2.5, 0)
B one solution: (2.5, 0)
C no solution
D O infinite number of solutions
Answer:
B
Step-by-step explanation:
(2.5,0)
PLEASE HELP ME match the equations at the bottom of the screen to the graph.TYSM
Answer: It's given in the equations.
Step-by-step explanation:
First One
f(x) = -2^x
Second
f(x) = -4(2)^x
Third
f(x) = 4(2)^x
Fourth
f(x) = 2^x
help me with math pleaseee
Answer:
Step-by-step explanation:
2d+4g+2e+2f
Shannon drank 1/5 cup of milk
and 3/4 cup of water. How much
did she drink altogether?
Answer
Answer:
does it have to be simpilfied? if not: 19/20
Step-by-step explanation:
a homeowner has just installed a swimming pool with a capacity of 3.5 x 10⁴ gallons.of the pool is initially empty, how many hours will it take to fill it using only a garden hose that delivers 630 gallons of water per hour
Using proportions, it is found that it will take 55.6 hours to fill the poll.
What is a proportion?A proportion is a fraction of total amount, and the measures are related using a rule of three.
In this problem, in one hour, 630 gallons of water are delivered. How many hours are going to take to deliver 3.5 x 10⁴ gallons = 35000 gallons?
The rule of three is:
1 hour - 630 gallons
x hours - 35000 gallons
Applying cross multiplication:
[tex]630x = 35000[/tex]
[tex]x = \frac{35000}{630}[/tex]
[tex]x = 55.5[/tex]
It will take 55.6 hours to fill the poll.
You can learn more about proportions at https://brainly.com/question/24372153
The hours it would take to fill the swimming pool is 55.6 hours.
What does division mean?
Division is the process of dividing a number into equal parts using another number. The sign used to denote division is ÷.
How many hours would it take to fill the swimming pool?Number of hours = capacity of the swimming pool / capacity of the hose
3.5 x 10^4 / 630
35,000 / 650 = 55.6 hours
To learn more about division, please check: https://brainly.com/question/13281206
Need help please tried this question on my own just couldn't get it
Answer:
15
Step-by-step explanation:
Answer:
15 (this is an answer from maxcolon89)
Step-by-step explanation:
To give an explanation, divide 675/45 to get 15
There are 48 students who play the clarinet in a year group of 120.
Write this proportion as a percentage.
Answer:
40%
Step-by-step explanation:
As a Fraction your answer would be [tex]\frac{48}{120}[/tex].
However we are looking for it as a percentage.
In order to calculate, this you can simply find 10%, and 5% of 120.
10% = 12
5% = 6
48 is divisible by 12, therefore 48 / 12 = 4
Giving you your answer which is 40%.
