A 0.32-kg ball is moving horizontally at 30 m/s just before suddenly bouncing off a wall Just after the bounce, it is moving horizontally at 25 m/s but in the opposite direction. DOK 1 (4 marks) (a) What is the magnitude of the change in momentum of the ball during the bounce? (b) What percentage of the ball's original kinetic energy was lost in the collision?
We will see that the change in momentum is P' - P = -17.6 kg*m/s, and the percentage of kinetic energy lost is 30.56%.
How to get the change in momentum?The momentum is given by the product between the mass and the speed.
So the original momentum is:
P = 0.32kg*30m/s = 9.6 kg*m/s
After the bounce, the new velocity is -25m/s, then the new momentum is:
P' = 0.32kg*-25 m/s = -8 kg*m/s
The change in momentum is:
P' - P = -8 kg*m/s - 9.6 kg*m/s = -17.6 kg*m/s
How to get the change in kinetic energy?The kinetic energy is:
KE = (1/2)*M*v^2
The initial kinetic energy is:
KE = (1/2)*0.32kg*(30 m/s)^2 = 144 J
The final kinetic energy is:
KE = (1/2)*0.32kg*(-25 m/s)^2 = 100 J
The percentage lost is:
P = 100%*(144 J - 100J)/(144 J) = 30.56%
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PLEASE HELP!! ILL MARK BRAINLYEST!!!
Solve the equation.
-5 = b - 2.3
b =
Answer:
b = -2.7
Step-by-step explanation:
Isolate the variable, b
-5 = b - 2.3
add 2.3 to both sides (to isolate variable b)
-5 + 2.3 = b - 2.3 + 2.3
-2.7 = b + 0
-2.7 = b
Check work:
-5 = -2.7 - 2.3
-5 = -5
Correct
PLEASE HELP Which of the following are statistical questions?
I How many copies of the novel have been sold at each store this month?
II How many siblings do you have?
III How many cars are parked in the parking lot each day?
IV How old is your sister?
A.
I and II
B.
I and III
C.
III and IV
D.
Only I
Answer:
A.
I and II
is right answer
Find the equation of the linear function represented by the table below in slope-intercept form.
x y
-4 0
1 5
6 10
11 15
Answer:
the desired equation is y = x + 4.
Step-by-step explanation:
Slope is defined as m = rise over run. Run is the change (usually an increase) in x, and rise an increase or decrease in y.
We see, in the table, that if x increases from 1 to 6 (a 'run' of 5), y increases from 5 to 10 (a 'rise' of 5). Thus, it's immediately apparent that the slope is m = rise / run = 5 / 5, or just 1.
Using the slope-intercept form of the equation of a straight line, y = mx + b, and the point (1, 5), we calculate b:
5 = 1(1) + b, or b = 4.
Therefore the desired equation is y = x + 4.
Pleaseeeee neeeddd helppp asappp
ANSWER:
Segment TS is a Chord
If AR = 14 , then QS = 14 ×2 = 28
∆ATS is an Isosceles Triangle
HOPE THIS HELP YOU , FOR ANY QUESTION PLEASE ASK ME
please help solve this problem evaluate ³√8
Answer:
the answer is 2
Step-by-step explanation:
re right 8 as [tex]2^3[/tex]= 3 √ [tex]2^3[/tex]
Pull terms out from under the radical, assuming real numbers. =2
2x and 2y are like terms. True False
plzzz help mee
false bc one's an x and the other's a y.
Step-by-step explanation:
The answer is false. 2x and 2y are no like terms because they do not have the same variable
what is 48/37 as a mixed fraction?
Answer:
1 11/37 is the correct answer
1. How does the distance formula help me know if two or three sides of a triangle are equal?
Solve in base 2 1111+1101+101
Answer:
100001
Step-by-step explanation:
First, convert the three numbers to base 10. 1111=15, 1101=13, and 101=5. Now, add the numbers up in base ten. 15+13+5=33. Lastly, convert 33 to base 2. 33=100001 in base 2.
What is the answer for 20−2⋅7+1−(−3)+10
Answer:
20
Hope that helps!
Answer:
2
Step-by-step explanation:PEMDAS first multiply 2 and 7 you get 14 then add 1 that's 15 then add 10 that's 25 after that subtract 20 thats 5 then subtract 3 that's 2
A company advertises that all of its bottles will now contain 20% more shampoo. jill writes the expression x+0.2x to represent how many ounces of shampoo will now be in a bottle that originally had x ounces. which expression also shows an increase by 20%
Corresponding Angles
I
16. Given that I lm, find the value of 'X'.
4x + 10
m
8x – 25
Answer:
x = 8.75
Step-by-step explanation:
The given angles are corresponding and congruent, thus
8x - 25 = 4x + 10 ( subtract 4x from both sides )
4x - 25 = 10 ( add 25 to both sides )
4x = 35 ( divide both sides by 4 )
x = 8.75
please help me please bro
Answer:
point D
Step-by-step explanation:
D because -1 has to be the x value and the only point with the x value of -1 is point D
Find the area of the rectangle with the given base and height.
3 ft 3 in
The area of the rectangle is it?
(Type an integer or a simplified fraction.)
Plz help
Answer: Area = 108 in. or 3/4 ft.
Step-by-step explanation: The formula for the area of a rectangle is l•w (length times width).
To get the area, you need to convert the units of measurement to one or the other (either inches or feet) because you cannot multiply them unless they are the same.
To get the area in inches, you convert 3 ft. to inches which is 36 inches, and then multiply it by 3 inches. You will get that the area = 108 inches.
To get the area in feet, you convert 3 inches to feet which is 1/4 (or 0.25) feet and then multiply it by 3 feet which gives you area = 3/4 ft. (or 0.75 ft.). Hope this helps.
Pls help me I'm stuck
Answer
72°
Step-by-step explanation:
[tex]because\ AC=AB\ therefore\ < ACB= < ABC=6x\\ And\ because\ the\ sum\ of\ the\ angles\ of\ a\ triangle\\ is\ 180\ .\\ therefore\ < ACB+ < ABC+ < CAB=180\ degrees\\ 3x+6x+6x=180\ degrees\\ 15x=180\ degrees\\ x=12\ degrees\\ < ABC=6x=6\times12\ degrees=72\ degrees[/tex]
I hope this helps you
:)
Answer:
∠ABC = 72°
Step-by-step explanation:
When we look at the triangle carefully, we can see a bar on AC and AB. Those bars define that AC and AB are equivalent. This also means that the triangle is isosceles. Since this triangle is isosceles, the base angles of the triangle are equivalent.
⇒ AB = AC
We also know that the sum of its interior angles must be 180°.
⇒ ∠A + ∠B + ∠C = 180
Let's substitute their angle measures.
⇒ 3x + 6x + 6x = 180 [∠BAC = 3x; ∠ABC = ∠ACB = 6x]
Now, let's solve for x.
⇒ 3x + 6x + 6x = 180
⇒ 15x = 180
⇒ 15x/15 = 180/15
⇒ x = 12
Now, substitute the value of x into "6x" to find ∠ABC.
∠ABC = 6x
⇒ ∠ABC = 6(12)
⇒ ∠ABC = 72°
need help!!!!!!!!!!!!!
Answer:
3rd answer
Step-by-step explanation:
they all need to be parallel so that the angles are congruent
A d = 15
B c= 30
C b = 20
D a=9
Answer: A, C, D
Step-by-step explanation:
solve for x please help me
Answer:
wpowie
Step-by-step explanation:hhh
5. The diagram shows two paths that lead through a park. Would a jogger run a greater distance on Path A
or Path B? Explain.
Answer:
I wish I've known, but try using Symbo-Lab or Math-Way. They help a lot.
Step-by-step explanation:
Determine the x- and y-intercepts of the graph of 3x+9y=18. Then plot the intercepts to graph the equation.
Answer:
[tex]x[/tex] intercept is at (6, 0).
[tex]y[/tex] intercept is at (0, 2).
Step-by-step explanation:
Given the equation of graph:
[tex]3x+9y=18[/tex]
To find:
[tex]x[/tex] and [tex]y[/tex] intercepts of the graph and then plotting the graph.
Solution:
[tex]x[/tex] intercept is the point on graph where the value of [tex]y[/tex] coordinate is zero.
[tex]y[/tex] intercept is the point on graph where the value of [tex]x[/tex] coordinate is zero.
Putting [tex]y=0[/tex] :
[tex]3x=18\\\Rightarrow x = 6[/tex]
So, [tex]x[/tex] intercept is at (6, 0).
Putting [tex]x=0[/tex] :
[tex]9y=18\\\Rightarrow y = 2[/tex]
So, [tex]y[/tex] intercept is at (0, 2).
Plotting the points of [tex]x[/tex] and [tex]y[/tex] intercepts on the graph and joining them to form the graph of given equation.
How to solve x/2-y/3=1, x-y/4=4 using method of elimination
Answer:x+y=14 .....(1)x−y=4 ......(2)On adding 1 and 2, we get,2x=18x=9Putting this value in equation 2, we get,9−y=4y=5Hence, x=9 and y=5.
I want to choose a license plate which is 3 characters long, where the first character is a letter, the last character is a digit, and the middle is either a letter or a digit. I also want there to be two characters on my license plate which are the same. How many ways are there for me to choose a license plate with these restrictions
Answer:
Step-by-step explanation:
* * *
let the middle digit is a letter.
as first and second letters are same so consider them as one letter.
It can be filled in 26 ways.
third place is filled in 10 ways (0,1,2,3,4,5,6,7,8,9)
total number of ways=26×10=260 ways
again consider second place is a digit.
so consider second and third place as one digit.
it can be filled in ways=10
first place can be filled in ways=26
Hence number of ways=26×10=260
so total number of ways=260+260=520
Determine the number and type of solutions of the quadratic
equation.
4x2 – 3x + 1 = 0
O one real solution
O two imaginary solutions
O one imaginary solution
O two real solutions
Answer: Choice B
Two imaginary solutions
=======================================================
Explanation:
The given equation is
4x^2 - 3x + 1 = 0
Compare this to the general quadratic
ax^2 + bx + c = 0
to find that a = 4, b = -3, c = 1.
Plug those values into the discriminant formula below.
d = b^2 - 4ac
d = (-3)^2 - 4*4*1
d = 9 - 16
d = -7
Then recall that...
If d > 0, then we have two real solutions.If d = 0, then we have only one real solution.If d < 0, then we have two imaginary solutions.We see that d = -7 fits with the third option highlighted above.
4x2 – 3x + 1 =
0 one real solutiontwo imaginary solutionsone imaginary solutiontwo real solutions→ two imaginary solutionsIf 5 a = 45, ba= 1, then b=
Answer:
1/9
Step-by-step explanation:
5a=45
divide it by 5 and a will =9
9b=1
divide 1 by 9
you get 1/9=b
therefore 9x1/9=1
An employee at a clothing store makes $12.75 per hour plus a 5.75% commission on sales. This week she worked 45 hours and her sales were $12,675. How much did she earn this week?
Answer:$1,302.56
Step-by-step explanation:
First you must find the amount she made from working her hours.
$12.75 x 45(hours)=$573.75
Next you must find how much she made from her commission on sales.
$12,675 x 0.0575(5.75% converted to a decimal)=728.8125.
Round 728.8125 to the nearest hundredth to get $728.81.
Add these two numbers together.
$728.81+$573.75=$1,302.56
Answer:
$1,302.56
Step-by-step explanation:
You must first determine how much she earned throughout her working hours.
$12.75 multiplied by 45 hours equals $573.75.
The next step is to determine how much she earned from her sales commission.
728.8125 = $12,675 x 0.0575(5.75 percent converted to a decimal).
To get $728.81, round 728.8125 to the nearest hundredth.
These two integers should be added together.
$728.81+$573.75=$1,302.56
You start at (0, -1). You move left 3 units and right 6 units. Where do you end?
which number comes after 3,265 and before 5,631?
Step-by-step explanation:
after 3265 , 3266 will come
before 5631 , 5632 will come
9. A motocross ramp is 12 feet tall and 24 feet long. What is the slope of the 1
ramp as a fraction in lowest terms? (Think rise over run.) *
12 ft
24 ft
O 12/24
O 24/12
O 1/2
0 2/1
Answer:
1/2
Step-by-step explanation:
12 is the rise 24 is the run
12/24 simplified is 1/2
The required slope of the given ramp is given by 1/2. Option C is correct.
Given that,
A motocross ramp is 12 feet tall and 24 feet long. What is the slope of the ramp as a fraction in the lowest terms is to be determined.
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
The slope of the ramp is evaluated as,
= vertical height / horizontal distance,
= 12 / 24
= 1 / 2
Thus, the required slope of the given ramp is given by 1/2. Option C is correct.
Learn more about slopes here:
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3
4
5
Enter the appropriate word(s) to complete the statement.
base
perfect cube
rational number
cube root
perfect square
repeating decimal
exponent
power
scientific notation
irrational number
radical sign
square root
monomial
real number
terminating decimal
6
7
18
Choose the correct term from the two choices given which makes the statement true.
(Scientific notation, Square root) is a compact way of writing numbers with absolute values
that are very large or very small.
Answer:
The answer is scientific notation
Step-by-step explanation:
The definition of scientific notation is a way of expressing real numbers that are too large or too small to be conveniently written in decimal form.
I hope this helps :)