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.
Find the 18h term of the arithmetic sequence whose common difference is d=4 and whose first term is a, =3.
Answer:
the 18th term is 71
Step-by-step explanation:
The general form for any term "n" in an arithmetic sequence is:
a(n) = a1 + (n-1) * d
where "d" is the common difference.
So, in our case we have:
a(n) = 3 + (n-1) *4
Therefore, the 18th term will be:
a(18) = 3 + (18 - 1) 4 = 3 + 17 * 4 = 71
You and some friends are at a Chinese restaurant. You order several `\$2.00` plates of wontons. Your bill is `\$24`. How many plates of wontons did you order?
Answer:
12
Step-by-step explanation:
It does not say what the tax is so the answer would be 12. You just divide 2 by 24.
Answer:
12
Step-by-step explanation:
24 divided by 2 is 12 or 2 times 12 is 24
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Plz help me!!
I have no clue how to do this because my teacher moves to fast for me. If you can help out that would be really appreciated!!
Answer:
1. x = 65
2. x = 40
3. x = -7
4. x = -4
5. x = -7
6. x = 4
Step-by-step explanation:
Angles in a triangle always add up to 180 degrees.
Thus, for each triangle you can write an equation setting the sum of the three angles equal to 180, and solving for x.
1. 180 = 80 + 35 + x
180 - (80 + 35) = x
180 - 115 = x
65 = x
2. 180 = 70 + 70 + x
180 - (70 + 70) = x
180 - 140 = x
40 = x
3. 180 = 76 + 41 + (x+ 70)
180 - (76 + 41) = x + 70
180 - 117 = x + 70
63 = x + 70
63 - 70 = x
-7 = x
4. (the red square means its a right angle = 90 degrees)
180 = 90 + 25 + (x + 69)
180 - (90 + 25) = x + 69
180 - 115 = x + 69
65 = x + 69
65 - 69 = x
x = -4
5. 180 = 50 + (57 +x) + (x + 87)
180 - 50 = (57 +x) + (x + 87)
130 = (57 +x) + (x + 87)
combine like terms
130 = 144 + 2x
130 - 144 = 2x
-14 = 2x
-7 = x
6. 180 = 80 + (9x + 4) + (16x - 4)
180 - 80 = (9x + 4) + (16x - 4)
100 = (9x + 4) + (16x - 4)
combine like terms
100 = 25x + 0
100 = 25x
4 = x
Which statement best describes the electric field around a positive charge?
A. Pairs of parallel lines with arrows that point inward extend from
the charge
B. Pairs of perpendicular lines with arrows that point outward extend
from the charge
C. Lines with arrows that point outward radiate from the charge in all
directions.
D. Lines with arrows that point inward radiate from the charge in all
directions
Answer:
C. Lines with arrows that point outward radiate from the charge in all
directions.
The statement which best describes the electric field around a positive charge is Lines with arrows that point outward radiate from the charge in all directions, the correct option is C.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.
We are given that;
The four options
Now,
This is because the electric field at a point in space is in the direction of the force that the electric field would exert on a positive test charge if there were a positive test charge at that point in space1. Because positive charges repel each other, the electric field around an isolated positive charge is oriented radially outward.
Therefore, by unitary method the answer will be Lines with arrows that point outward radiate from the charge in all directions.
Learn more about the unitary method, please visit the link given below;
https://brainly.com/question/23423168
#SPJ2
Write the missing decimal so that each pair adds to 1/2 + ...= 1
Answer:
0.5
Step-by-step explanation:
1/2 + 0.5 = 1
Ana and her friends are decorating the gym for a dance. They need 270 balloons. The balloons are only sold un packages. Tere are 50 balloons in each package.
Answer:
Step-by-step explanation:
270 div
please hurry. 1. Calculate the grade point average: An A is considered 4.0, a B is 3.0, a C is 2.0, a D is 1.0, and an F is 0. If you received the following grades, what would be your grade point average? Round your answer to the hundredths place. Please show me how you got ur answer step by step
Course Credits Grade
Sociology 3.0 A
Calculus 4.0. F
New Student Seminar 1.0 C
Physics. 5.0. A
Answer:
b
Step-by-step explanation:
What type of transformation transforms (a, b) to (-a, b)?
a reflection over the y-axis
a translation of 1 unit down
a reflection over the x-axis
a translation of 1 unit up
Answer:
A reflection over the y axis .
Step-by-step explanation:
Given : Transforms (a,b) to (-a,b).
To find : What type of transformation.
Solution : We have given
Parent function : (a,b) .
Transformed : (-a ,b).
Transformation rule of reflection over y axis : ( x, y) →→ ( -x ,y).
Then we can say in transformation (a,b) →→→→ (-a,b).
Therefore, A reflection over the y axis
Step-by-step explanation:
plz brain list
Answer:
hes right i took the test
Step-by-step explanation:
4. A surgical patient needs to have her liquid intake carefully monitored. How many mL of fluid did she consume if she
drankL of water, a pint of milk, and 8 oz of juice?
30 %of 50 pidhdbdjduwywggdhfnfjrhdvdvdndjdjf
Answer:
15
Step-by-step explanation:
50 x .3
Answer:15
Step-by-step explanation:
Please answer ASAP!
Which proportional relationship has the greatest rate of change?
Answer:
Option (1) ; y = 7x
Step-by-step explanation:
(1) reads y = 7x, a line with slope 7, therefore the rate of change in this is 7
(2) says that y increases 12 units every time that x increases 4 Then the rate of change is: (increase in y / increase in x = 12/4 =3
(3) shows a table from which we can see that an increase of y in 8 corresponds to an increase of x in 2: rate of change = (8 - 0) , (2 - 0) = 4
(4) shos a line with slope (rate of change) given by: (12 - 0) / (2 - 0) = 12/2 = 6
Therefore, the greatest rate of change is shown by the first expression
y = 7 x
I need help with math
Answer:
6:3
Step-by-step explanation:
Which of the following is not true about the inverse of f (x) = = 3x+5
2
Answer Before defining the inverse of a function we need to have the right mental image of function.
Consider the function f(x) = 2x + 1. We know how to evaluate f at 3, f(3) = 2*3 + 1 = 7. In this section it helps to think of f as transforming a 3 into a 7, and f transforms a 5 into an 11, etc.
Now that we think of f as "acting on" numbers and transforming them, we can define the inverse of f as the function that "undoes" what f did. In other words, the inverse of f needs to take 7 back to 3, and take -3 back to -2, etc.
Let g(x) = (x - 1)/2. Then g(7) = 3, g(-3) = -2, and g(11) = 5, so g seems to be undoing what f did, at least for these three values. To prove that g is the inverse of f we must show that this is true for any value of x in the domain of f. In other words, g must take f(x) back to x for all values of x in the domain of f. So, g(f(x)) = x must hold for all x in the domain of f. The way to check this condition is to see that the formula for g(f(x)) simplifies to x.
g(f(x)) = g(2x + 1) = (2x + 1 -1)/2 = 2x/2 = x.
This simplification shows that if we choose any number and let f act it, then applying g to the result recovers our original number. We also need to see that this process works in reverse, or that f also undoes what g does.
f(g(x)) = f((x - 1)/2) = 2(x - 1)/2 + 1 = x - 1 + 1 = x.
Letting f-1 denote the inverse of f, we have just shown that g = f-1.
Definition:
Let f and g be two functions. If
f(g(x)) = x and g(f(x)) = x,
then g is the inverse of f and f is the inverse of g.
Exercise 1:
Return to Contents
Finding Inverses
Example 1. First consider a simple example f(x) = 3x + 2.
The graph of f is a line with slope 3, so it passes the horizontal line test and does have an inverse.
There are two steps required to evaluate f at a number x. First we multiply x by 3, then we add 2.
Thinking of the inverse function as undoing what f did, we must undo these steps in reverse order.
The steps required to evaluate f-1 are to first undo the adding of 2 by subtracting 2. Then we undo multiplication by 3 by dividing by 3.
Therefore, f-1(x) = (x - 2)/3.
Steps for finding the inverse of a function f.
Replace f(x) by y in the equation describing the function.
Interchange x and y. In other words, replace every x by a y and vice versa.
Solve for y.
Replace y by f-1(x).
Example 2. f(x) = 6 - x/2
Step 1 y = 6 - x/2.
Step 2 x = 6 - y/2.
Step 3 x = 6 - y/2.
y/2 = 6 - x.
y = 12 - 2x.
Step 4 f-1(x) = 12 - 2x.
Step 2 often confuses students. We could omit step 2, and solve for x instead of y, but then we would end up with a formula in y instead of x. The formula would be the same, but the variable would be different. To avoid this we simply interchange the roles of x and y before we solve.
Example 3. f(x) = x3 + 2
This is the function we worked with in Exercise 1. From its graph (shown above) we see that it does have an inverse. (In fact, its inverse was given in Exercise 1.)
Step 1 y = x3 + 2.
Step 2 x = y3 + 2.
Step 3 x - 2 = y3.
(x - 2)^(1/3) = y.
Step 4 f-1(x) = (x - 2)^(1/3).
Exercise 3:
Graph f(x) = 1 - 2x3 to see that it does have an inverse. Find f-1(x). Answer
Step-by-step explanation:
pls brain list
PLEASE HELP IN ONE MINUTE WILL MARK BRAINLIST
Answer:
1,-2 | -2,7 ????
Step-by-step explanation:
the graph of a system of linear equation is shown below
Answer:
B
Step-by-step explanation:
Add the fractions. Reduce the answer to lowest terms.
8\9+1/9
Answer:
1
Step-by-step explanation:
8 + 1 = 9/9
- -
9. 9
i dont know this help me
a dog walks 696 steps in 12 minutes. how many steps in 12 minutes
Answer:
696 steps
Step-by-step explanation:
I need the answer too all of these:
1. 7x + 1x = ?
2. 6 + 1 + 5x = ?
3. 4x + 7x + 3 - 2 = ?
4. 6x + 6 + 8 + 1x = ?
5. 7x - 7x + 2 = ?
6. 3x + 6 + 1x = ?
7. 8- 8x - 3 = ?
8. 2x - 5 + 2 =
HELP ASAPP
What's the place value of 3 in 19.364?
Answer:
Tenths
Hope this helps :)
Answer:
tenths
Step-by-step explanation:
I need help once more (●'◡'●)
Answer:
3= 25 4= 20 25= 5
Step-by-step explanation:
its a pattern. the top goes up by ones and the bottom goes up by fives.
72: 24 equivalent to?
3:1 is the answer
it is simplified
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
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
Paul got 15 out of 20 questions correct on his test. What percent of the questions did Paul get correct?
Answer:75%
Step-by-step explanation:
To make a fraction into a percent you have to multiply it by 100
So: 15/20 x 100=15x5=75 so he got 75% of his problems right
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
A submarine descended 3/4 of a kilometer in 1/4 of an hour. What was the submarine's rate of descent?
There is a quadrilateral with vertices A (-4,0), B (-3, 4), C (2,6), and D (2,3).
Is this a parallelogram?
1 A lawnmower that regularly sells for $200 is on sale for $85. Find the % of change that the price was decreased by ??? percent. Round to the nearest whole percent.
Answer:
The price changed by 92.5 %
Step-by-step explanation:
The regular price of lawn mover = 200 dollars
The new selling price = 85 dollars
Change in selling price = 200 -85 dollars = 115 dollars
% change == [tex]\frac{185}{200} * 100 = 92.5[/tex]
The price changed by 92.5 %
