Answer:
[tex]x\geq 0\\[/tex]
Step-by-step explanation:
A hockey puck with a mass of 0.17 kg is traveling to the right along the ice at 15 m/s it strikes a second hockey puck with a mass 0.11 kg the first hockey puck comes to rest after the collision of conservation of momentum holds what is the total final momentum of the system (round your answer to the nearest tenth
Answer:
Conservation of momentum means that the final momentum must be the same as the initial momentum, where the momentum is defined as:
P = m*v
where m is mass, and v is velocity.
First, let's calculate Pi, the initial momentum.
Pi = Pi₁ + Pi₂
Where the subscripts 1 and 2 refer to each puck:
Pi₁ = 0.17kg*15m/s = 2.55 (kg*m/s)
Pi₂ = 0.11kg*0m/s = 0 (kg*m/s)
Pi = 2.55 (kg*m/s) + 0 (kg*m/s) = 2.55 (kg*m/s)
Now, after the collision we have that:
The first puck comes to rest, then:
Pf₁ = 0.17kg*0m/s = 0 (kg*m/s)
And the second puck will have a velocity v, that we want to find:
Pf₂ = 0.11kg*v
Pf = Pf₁ + Pf₂ = 0 (kg*m/s) + 0.11kg*v = 0.11kg*v
And by conservation of momentum we have:
Pi = Pf
2.55 (kg*m/s) = 0.11kg*v
We divide in both sides by 0.11kg
2.55 (kg*m/s)/0.11kg = v
23.2 m/s = v
And from this, the final momentum will be the same as the initial:
Pf = 23.2m/s*0.11kg = 2.55 (kg*m/s)
The total final momentum of the system is 2.55 Kg m/sec and this can be determined by conserving the momentum.
Given :
A hockey puck with a mass of 0.17 kg is traveling to the right along the ice at 15 m/s it strikes a second hockey puck with a mass of 0.11 kg the first hockey puck comes to rest after the collision of conservation of momentum holds.
The formula of the momentum is given below:
P = mv
Now, let conserve the moment, that is:
[tex]\rm P_i=P_f[/tex] --- (1)
where [tex]\rm P_i[/tex] is the initial momentum and [tex]\rm P_f[/tex] is the final momentum.
First, determine the initial momentum.
[tex]\rm P_i = 0.17\times 15 + 0.11\times 0= 2.55\;Kg\;m/sec[/tex]
Now, determine the final momentum.
[tex]\rm P_f = 0.17\times 0+ 0.11\times v = 0.11v\;Kg\;m/sec[/tex]
Now. substitute the value of [tex]\rm P_i[/tex] and [tex]\rm P_f[/tex] in the equation (1).
[tex]\rm 2.55=0.11v[/tex]
v = 23.18 m/sec
So, the final momentum can be calculated as:
[tex]\rm P = 23.18 \times 0.11[/tex]
P = 2.55 Kg m/sec
For more information, refer to the link given below:
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Answer:
7 +11·i
Step-by-step explanation:
√-121 = (√-1)(√121) = i·11
So, 7 +√-121 = 7 +11·i
Compare the two functions and determine which one has the greater rate of change.
Function 1: y = x + 6
Function 2: y = 2x + 1
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Answer:
I hope it help, it can be wrong, Im so sorry!
Step-by-step explanation:
1.
y=x+6
y=x6
2.
y=2x+1
y=x.2+1
y=x.2
y=2
can some on help me of i die
Answer:
Step-by-step explanation:
17 x 100 = 1,700
17 x 10 x 10 = 1,700
(1 ten 7 ones) x 100 = 1,700
All of them go into the thousands column.
Answer: die.
Step-by-step explanation:
NEED ANSWERS ASAP DUE AT 12
Answer: Natural: G ; Whole: B ; Integer: H; Rational: A, D, F, J, I, E; Irrational: C, K
Step-by-step explanation:
Natural numbers- Counting numbers (1, 2, 3, 4, etc.)
Whole numbers- Counting numbers and 0
Integers- Counting numbers, 0, and their opposites
Rational numbers- any number that can be written as a fraction in which 0 isn't the denominator
Irrational numbers- all other numbers
one-third of a number, decreased by 36, is at most 22 find the number
Answer: x = 174, and x < 174.
Let the number be x.
Then 1/3 of the number = 1/3*x
1/3*x is decreased by 36 is the same as 1/3*x - 36
If 1/3*x - 36 is at most 22, we can write:
1/3*x - 36 is less than or equal to 22.
Therefore,
1/3*x - 36 <= 22
1/3*x - 36 = 22 (i), and 1/3*x - 36 < 22 (ii)
From (i):
1/3*x = 22 + 36 = 58, or x = 58 * 3 = 174.
From (ii):
1/3*x < 22 + 36 = 58, or x < 58 * 3 , or x < 174.
Therefore,
x = 174, and x < 174.
The image point of A after a translation right 1 unit and down 2 units is the point B (9,3). Determine the coordinates of the pre-image point A.
Alright, it went 1 to the right and down 2 times.
So for point B, you calculate the opposite.
Point B goes 1 left while going up by 2.
(9 - 1, 3 + 2) = (8, 5)
Pre-image point A is (8, 5)
The preimage of point A before a translation right 1 unit and down 2 units
is (8, 5).
What are transformations?Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.
Dilation: The preimage is scaled up or down to create the image.
Reflection: The picture is a preimage that has been reversed.
Rotation: Around a given point, the preimage is rotated to create the final image.
Translation: The image is translated and moved a fixed amount from the preimage.
Given, The image point of A after a translation right 1 unit and down 2 units is point B (9, 3) so we go exact opposite 1 unit left and 2 units up which is
(- 1, 2).
∴ The pre-image point A is (8, 5).
learn more about translations here :
https://brainly.com/question/12463306
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PLEASE PLEASE HELP GIVING BRAINALIST AND EXTRA POINTS FOR FIRST PERSON
Answer:
Step-by-step explanation:
20. r= S/2πh
21. y= 2-3/5x
22. 4.3333333 minutes
23. 80 ounces
24. x= 21
25. c= -1
Can someone answer this for me please and ASAP!
Please hurry I am being timed please help!!
Solve.
f/10 = 16
A. 160
B. 6
C. 26
D. -160
Sorry if this is easy, I'm bad at math :(
Answer: I think it's 160
Step-by-step explanation:
The sum of three numbers is 855. One of the numbers, x, is 50% more than the sum of the other two numbers. What is the value of x?
Answer:
The value of x = 513
Step-by-step explanation:
Let x, y, and z be the three numbers
Given
[tex]x+y+z=855[/tex]
Assuming x be the number which is 50% more than the sum of the other two numbers.
i.e.
(150)% of (y+z) = 1.5(y+z)
y + z = x/1.5
As we know that
[tex]x + y + z = 855[/tex]
substituting y + z = x / 1.5 in the equation
[tex]x+\frac{x}{1.5}=855[/tex]
Multiply both sides by 1.5
[tex]x\cdot \:1.5+\frac{x}{1.5}\cdot \:1.5=855\cdot \:1.5[/tex]
[tex]1.5x+x=1282.5[/tex]
[tex]2.5x=1282.5[/tex]
Divide both sides by 2.5
[tex]\frac{2.5x}{2.5}=\frac{1282.5}{2.5}[/tex]
[tex]x = 513[/tex]
Therefore, the value of x = 513
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What is the solution (a, b) to this system of linear equations?
3a+6b=45
2a-2b=-12
(-27, 6)
(-1, 7)
(1, 7)
(27, -6)
Answer:
I dont know why my answer was removed nor why i was warned for it. But the answer is C
Step-by-step explanation:
Answer: 1, 7 is he answer I just took the quiz and got it correct.
Step-by-step explanation:
Express the ratio below in its simplest form.
5:15:20
Answer:
1:3:4
Step-by-step explanation:
[tex]\frac{5}{5}: \frac{15}{5}: \frac{20}{5}=1:3:4[/tex]
Use the critical points to determine the test regions. Which are possible test points? –5 –4 –3.5 –3 –2.5 –2 0 5
Answer:
-5, -3.5, -2.5, 0, 5
Step-by-step explanation:
Answer:
-5, -3.5, -2.5, 0, 5
Step-by-step explanation:
Just got it right on the assignment
Edg 2021
George hiked from the top of a hill to the valley floor. The elevation at the top of the hill is 127 feet above sea level. The valley floor is 52 feet below sea level. George stopped at a rest stop that is at an elevation exactly halfway between the top of the hill and the valley floor. What is the elevation, in feet, of the rest stop? Show your work
Answer:
The elevation of the rest stop is 37.5 feet above sea level.
Step-by-step explanation:
Given that the elevation at the top of the hill is 127 feet above sea level and The valley floor is 52 feet below sea level.
So, the total length from the top of the hill to the valley floor
[tex]l= 127+52 = 179[/tex] feet
So, length of halfway [tex]= l/2=179/2=89.5[/tex] feet ...(i)
Assuming that the stop for rest, the halfway between the top of the hill and the valley floor, is at x feet above sea level.
So, the length between the stop position and the valley floor [tex]= 52 +x[/tex] feet.
As the stop position is at half-way, so by using equation (i), we have,
[tex]52 + x = 89.5 \\\\\Rightarrow x =89.5-52 \\\\[/tex]
[tex]\Rightarrow x=37.5[/tex] feet
Hence, the elevation of the rest stop is 37.5 feet above sea level.
A(n) _____ is any side of a polygon that shares a side with only one angle of a pair of angles.
Answer:
non-included
Step-by-step explanation:
A non included side of a polygon shares a side with only one angle of a pair of angles.
Answer: This type of angles are adjacent interior angles.
The grades on a language midterm at Oak Academy are roughly symmetric with = 67 and 0 = 2.5. Ishaan scored 70 on the exam. Find the z-score for Ishaan's exam grade. Round to the nearest tenth.
Answer: 1.2
Step-by-step explanation:
Let X denotes the grades on a language midterm at Oak Academy.
As per given ,
X follows normal distribution ( because it has symmetric graph)
[tex]\mu=67,\ \ \ \ \sigma= 2.5[/tex]
Formula for z : [tex]z=\dfrac{X-\mu}{\sigma}[/tex]
For X = 70, we have
[tex]z=\dfrac{70-67}{2.5}=\dfrac{3}{2.5}=1.2[/tex]
Hence, the z-score for Ishaan's exam grade = 1.2
z-scores are the corresponding standard normal variate's values for normal variates' values. The z-score for Ishaan's grade is 1.2
How to get the z scores?If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.
If we have
[tex]X \sim N(\mu, \sigma)[/tex]
(X is following normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] )
then it can be converted to standard normal distribution as
[tex]Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)[/tex]
(Know the fact that in continuous distribution, probability of a single point is 0, so we can write
[tex]P(Z \leq z) = P(Z < z) )[/tex]
Also, know that if we look for Z = z in z tables, the p-value we get is
[tex]P(Z \leq z) = \rm p \: value[/tex]
For the given case, if we suppose the random variable X's values as scores of the grades on given language midterm at Oak Academy, then, as it is symmetric around value 67, with σ = 2.5, thus,
[tex]X = N(\mu = 67, \sigma = 2.5)[/tex]
Its given that Ishaan scored X = 70
The standard normal variate conversion of X is given by:
[tex]Z = \dfrac{X- \mu}{\sigma} = \dfrac{X - 67}{2.5}[/tex]
Thus, z-scores for Ishaan's score is: [tex]Z = \dfrac{70 - 67}{2.5} = \dfrac{3}{2.5} = 1.2[/tex]
Learn more about standard normal distribution here:
https://brainly.com/question/10984889
NEED HELP ASAP
Vector Vector P Q has an initial point at (3, 3) and its terminal point is at (5, 7).
Vector Vector R S has an initial point at (4, –6) and its terminal point is at (1, –5).
What is the component form of vector Vector P Q minus R S?
___________ , _____________
Answer:
5, 3
Step-by-step explanation:
correct on edge2020
Answer:
(5, 3)
Step-by-step explanation:
late but still lol
please answer seriously!!
Answer:
27. chord
28. radius
29. diameter
30. secant
31. tangent
32. secant
Step-by-step explanation:
I guess thats the correct answer
7.55 x 8 and 8 x 7.2
A linear function contains the following points. X - 4 | 4 0 5 What are the slope and y-intercept of this function?
A. The slope is 4. The y-intercept is (5.
B. The slope is The y-intercept is (0,5).
C. The slope is - 1 Tthe y-intercept is (0,5).
D. The slope is -4. The y-intercept is (0,5).
Answer:
The answer is B.
Step-by-step explanation:
when x is 0, y is 5. So that is the yintercept and 4-5=-1 -4-0=-4 do 1/4
PLEASE HELP!! ILL MARK BRAINLYEST!! 20 POINTS!!!
What is the LCM of 24 a^3b and 36 ab^2 ?
A. 72 a 3b 2
B. 12 ab
C. 36 ab
D. 24 a 3b 2
Answer:
correct answer is B
Step-by-step explanation:
Hope this helps
Explain the difference between a conductor and an insulator. please I need help
Answer:
Conductors are materials that provide easy paths for the flow of electrons. Conductors are generally made from materials that have large, heavy atoms. And insulators are the things that have very large resistance to the flow of electric current.
Hope this helps!!
Using the table below, how many cups of flour would you need to make 90 cookies?
Answer:
60 : 4 :: 90 : c proportion
60c = 4(90) product means/extremes
60c = 360
c = 6
Or 90 is 1.5 times 60, therefore you need 1.5 times 4 cups.
Answer:
4 cups
Step-by-step explanation:
cause I said so....
Select the correct answer.
Which ordered pair represents a point where the graph of f(x) = (x - 1)(x2 + x - 20) crosses the x-axls?
(-1,0)
(-5,0)
(-4,0)
(20,0)
Answer:
(-5, 0)
Step-by-step explanation:
f(x) = (x - 1)(x2 + x - 20) = 0
x - 1 = 0
x = 1
x^2 + x - 20 = (x + 5)(x - 4)
x + 5 = 0; x - 4 = 0
x = -5; x = 4
Answer: (-5, 0)
rita drew the pre image of circle K with a dashed line and it's image after dilation with a solid line. which shows the the dilation of circle K with a scale factor of two
Answer:
C
Step-by-step explanation:
Cant really give one, im just reviewing.
Please help- Solve 2x - 11 = k for x.
O A. x = 2k + 22
B.
k+11
2
O C.
c. x= +11
O D. x = k + 9
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[tex]2x - 11 = k[/tex]
Add sides 11
[tex]2x - 11 + 11 = k + 11[/tex]
Simplification
[tex]2x = k + 11[/tex]
Divide sides by 2
[tex] \frac{2}{2} x = \frac{k + 11}{2} \\ [/tex]
[tex]x = \frac{k + 11}{2} \\ [/tex]
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Thus the correct answer is (( B )) .
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Answer:
A.
Step-by-step explanation:
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Which of these statements are true for joint variations? Check all that apply.
There are at least two constants of proportionality.
The independent variable is related to the product of the independent variables by a constant of proportionality, k.
The equation must have at least two independent variables.
The constant of proportionality is 1.
Answer:
B and C
Step-by-step explanation:
Just did it on edg
Answer:
Which of these statements are true for joint variations? Check all that apply.
A.There are at least two constants of proportionality.
B.The dependent variable is related to the product of the independent variables by a constant of proportionality, k.
C.The equation must have at least two independent variables.
D.The constant of proportionality is 1.
B. The dependent variable is related to the product of the independent variables by a constant of proportionality, k.
C. The equation must have at least two independent variables.
These are the correct answers