Answers
Answer:
Last Choice / D
Step-by-step explanation:
you want to isolate v!
E = 1/2 m v^2
multiply both sides by 2
2E = mv^2
divide both sides by m
2E/m = v^2
square root both sides
v = ±[tex]\sqrt{2E/m}[/tex]
please click heart to give thanks :)
Answer:
[tex]D.v= \± \sqrt{\frac{2E}{m}}[/tex]
Step-by-step explanation:
[tex]We\ are\ given\ that,\\Kinetic\ Energy\ possessed\ by\ an\ object=\frac{1}{2}mv^2\\Hence,\\E_k=\frac{1}{2}mv^2\\2E=2*\frac{1}{2}mv^2 [Multiplying\ both\ the\ sides\ with\ 2]\\2E=mv^2\\\frac{2E}{m}=\frac{mv^2}{m}[Dividing\ both\ the\ sides\ by\ m]\\\frac{2E}{m}=v^2\\Now,\\As\ v\ could\ be\ positive\ or\ negative\ but\ its\ square(v^2)\ would\ always\ be\ positive.\\[/tex]
[tex](\± v)^2= v^2\\Hence,\\\frac{2E}{m}= (\±v)^2 \\\sqrt{\frac{2E}{m}} = \±v\\Or,\\ v= \± \sqrt{\frac{2E}{m}}[/tex]
Related Questions
A large random sample of adults aged 40 to 50 living in San Francisco, California, was polled about how likely they are to purchase an electric vehicle sometime in the next year. To which population can the results of the poll safely be generalized
Answers
Answer:
Adults living in San Francisco, California
Step-by-step explanation:
The population is the large group from which the sample is selected or chosen. In the question given the sample is drawn from the adult population of San Francisco who are aged 40 to 50 to find out whether they can buy
an electric vehicle sometime in the next year.
The population it can be generalized to is adults living in San Francisco, California.
A population is defined as the group of all the individual members or objects having some common interest or characteristics.
The individual members are called the sampling units or simply units.
Answer:
adults only who live in San Francisco
Which graph can be defined by the function y = -3x + 2
Answers
Answer:
Step-by-step explanation:
help!! i'll give brainliest
Answers
Answer:
Im pretty sure D
Step-by-step explanation:
hope this helps.
Brainliest please!
Factor the following polynomial: 12y5 – 8y3 + 24y2
A. 8y(2y4 – y2 + 3y)
B.4y2(3y3 – 2y + 6)
C. 4(3y5 – 2y3 + 6y2)
D. 4y(3y4 – 2y2 + 6y)
Answers
Answer:
The answer is B.
Step-by-step explanation:
12y5−8y3+24y2
=4y2(3y3−2y+6)
Can you guys please help me ill give brainliest
Answers
Answer:
The answer is C i think not that sure
Step-by-step explanation:
expand and simplify 5(2x+1)-2(3x-6)
Answers
Answer:
4x + 17
Step-by-step explanation:
10x+5-2(3x-6)
10x + 5-6x+12
Each angle is bisected by the ray. Solve for x please!!
Answers
Answer:
See answers below
Step-by-step explanation:
The Bisector Angle Theorem basically states that if a bisector cuts the middle of an angle, the two angles that it creates will be equal to each other.
Therefore:
#7 -> x=38
#8 -> x=144
#9 -> 2x=84 -> x=42
#10 -> x+3=30 -> x=27
What is the value of the expression
3/5 (x-8) - y
When x=15 and y=1/10
A 11/10
B 21/10
C 31/10
D 41/10
Answers
Answer:
D 41/10
Step-by-step explanation:
substitute the values given into the equation. Calculate.
Answer:
D: 41/10
Step-by-step explanation:
Snare Drum
Backbeats
Bass Guitar
Notes
3
2
90
60
120
80
Part A. Are the two quantities proportional? Justify your answer.
Yes they because they have the same constant proportionality.
Part B. What is the constant of proportionality? *
0.77
Answers
Answer : what do i answer
Step-by-step explanation:
Each of five, standard, six-sided dice is rolled once. What is the probability that there is at least one pair but not a three-of-a-kind (that is, there are two dice showing the same value, but no three dice show the same value)
Answers
Answer:
The probability that there is at least one pair but not a three of a kind is 0.6944.
Step-by-step explanation:
We have the case when we have five dices and we roll them and we need that there is at least one pair but not a three of a king which is Two dice showing the same value, but no three dice showing the value.
Total no of outcomes = [tex]6^5 = 7776[/tex]
We will consider the other cases and then subtract them from the total outcomes.
No of outcomes of 5 of a kind = 6
No of outcomes 4 of a kind and 1 different = (6*5)*5 = 150
No of outcomes with 3 of a kind and 1 different pairs = (6*1*1*5*1)*5C2= 300
No of outcomes with 3 of a kind and two different = 6*5*4*10= 120*10=1200
No of outcomes when all are different = 6! = 720
These all the cases when subtracted from the total will represent the total cases in which there are two dice showing the same value.
Total cases = 6+150+300+1200+720
= 2376
Required no of outcomes = 7776-2376 = 5400
Probability = [tex]\frac{5400}{7776}[/tex] = 0.6944
Therefore the probability for the case of at least one pair but not a three of a kind is 0.6944.
Graph y=x+4,
I just need assistance on how i get the answer and the answer aswell
Answers
Write 5.5% as a fraction in simplest form
Answers
Answer:
11/200
Step-by-step explanation:
5.5% = 5.5/100 = 0.055
0.055 1000
———- X ———
1 1000
=55/1000
=11/200
What is the GCF of 105x,30x and 75x?
I
Answers
Answer:
15x
Step-by-step explanation:
At what time is Ann driving 35 mph? show the work that leads to your answer
Answers
Answer:
at 6 minutes and 8.25 minutes
Step-by-step explanation:
When the time reaches 6 minutes, the line touches 35mph. Same goes for 8.25 minutes.
I need helpppp....:(
Answers
Answer:
D
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
For a pentagon with n = 5 , then
sum = 180° × 3 = 540° , thus
x = 540° ÷ 5 = 108
For an octagon with n = 8, then
sum = 180° × 6 = 1080° , thus
y = 1080° ÷ 8 = 135
Thus
x + y = 108 + 135 = 243 → D
Hello! Can someone please help me with this 1 questions! thank you so much! (i’ll give brainlist)
Answers
Answer:
x = 10 mm is the answer
pls mark me as the brainliest
Can someone help me in this question
Answers
Answer:
The average speed of the athlete for the entire competition is approximately 21.23 km/hr
Step-by-step explanation:
The given parameters of the athlete performance in the triathlon are;
The length the athlete swims = 750 m = 0.75 km
The time the athletes spends swimming = 15 minutes = 0.25 hours
The speed with which the athlete cycles = 40 km/hr.
The time the athletes spends while cycling = 30 minutes = 0.5 hours
The distance the athlete ran = 5 km
The average speed with which the athlete ran = 3 m/s = 10.8 km/hr.
The formula for average speed, s is Average speed = Total distance/(Total time)
The distance, ∑d, the athlete covered in the entire competition is given as follows;
∑d = 0.75 km + 0.5 hr. × 40 km/hr. + 5 km = 0.75 km + 20 km + 5 km = 25.75 km
The distance, ∑t, the athlete spends in the entire competition is given as follows;
∑t = 0.25 hr. + 0.5 hr. + 5 km/(10.8 km/hr.) = 0.25 hr. + 0.5 hr. + 0.463 hr. ≈ 1.213 hr.;
Therefore;
The average speed of the athlete for the entire competition, s = ∑d/∑t = 25.75 km/(1.213 hr.) ≈ 21.23 km/hr.
Susan wanted to share her 37 seashells with her two younger brothers. If she divided her seashells between the three of them, how many would each person get?
Answers
Given :
Susan wanted to share her 37 seashells with her two younger brothers.
To Find :
If she divided her seashells between the three of them, how many would each person get.
Solution :
Let, each person will get x seashells.
So,
[tex]x = \dfrac{\text{Total number of seashells}}{\text{Number of persons}}\\\\x = \dfrac{37}{3}\\\\x = 12.333[/tex]
But as we know seashells cannot be in decimal.
Therefore, each person will get exactly 12 shells.
Hector invests $10,000 at age 21. He hopes the investments will be worth $150,000 when he turns 50. If the interest compounds continuously, approximately what rate of growth will he need to achieve his goal? Write your answer as a percentage rounded to one decimal place.
Answers
Answer:
9.33%
Step-by-step explanation:
Step one:
given
Principal= $10,000
Final amount = $150,000
time = 50-21= 29 years
Required
The rate
Step two:
to solve for the rate we can apply the formula for rate as
r = ln(A/P) /t
r= ln(150000/10000)/29
r= ln(15)/29
r=2.7080502011/29
r=0.0933
r= 0.0933*100
r= 9.33%
Square LAMP has vertices L(-2, -3), A(4, -1), M(2,5), and P(-4, 3). What is the
perimeter of the square?
Answers
Answer:
The perimeter of the square LAMP is 8[tex]\sqrt{10}[/tex] units
Step-by-step explanation:
The rule of the distance between two points (x1, y1) and (x2, y2) is
d = [tex]\sqrt{(x2-x1)^{2}+(y2-y1)^{2}}[/tex]
∵ LAMP is a square
∵ The sides of the square are equal in lengths
∴ LA = AM = MP = PL
Let us find the length of one side of it
∵ L = (-2, -3) and A = (4, -1)
∴ x1 = -2 and y1 = -3
∴ x2 = 4 and y2 = -1
→ Substitute them in the rule of the distance above to find LA
∵ LA = [tex]\sqrt{(4 - -2)^{2}+(-1--3)^{2}}[/tex]
∴ LA = [tex]\sqrt{(4+2)^{2}+(-1+3)^{2}}[/tex]
∴ LA = [tex]\sqrt{(6)^{2}+(2)^{2}}[/tex]
∴ LA = [tex]\sqrt{36+4}[/tex] = [tex]\sqrt{40}[/tex]
→ Simplify the root
∴ LA = 2[tex]\sqrt{10}[/tex] units
∵ The perimeter of the square = 4 × side
∴ The perimeter of the square = 4 × 2[tex]\sqrt{10}[/tex]
∴ The perimeter of the square = 8[tex]\sqrt{10}[/tex]
∴ The perimeter of the square LAMP is 8[tex]\sqrt{10}[/tex] units
Which would produce a larger balance: an annual interest rate of 8.05% compounded monthly or an annual interest rate of 8% compounded continuously? Explain.
Answers
Answer:
8% compounded monthly has higher yield
Step-by-step explanation:
Here, we want to compare which of the two options would give a higher yield
An interest rate of 8% compounded monthly or 8% compounded annually
Let us say we are looking at a time frame of two years
If compounded monthly, since there are 12 months in a year, there would have been a compounding of 12 * 2 = 24 times
While if it is annual, we would have only twice
The higher the number of times we compound, the more the return
What are the coordinates of the center and the
length of the radius of the circle whose equation is
(x + 1)² + (y – 5) = 16?
1) (1,-5) and 16
2) (-1,5) and 16
3) (1,-5) and 4
4) (-1,5) and 4
Answers
Answer:
I think 3 not sure don't angry if wrong
Marsha is changing her phone
service. One data package charges
an initial fee of $50 and $13.25 per
month. The other has no initial fee
but charges $25.75 per month for
the same data package. After how
many months would Marsha have
paid the same amount for either
data package?
Someone help me plz quickly
Answers
month 4: 13.25*4=53. 53+50 = 103
month 4: 25.75*4 = 103
They both cost $103 on month 4
Bottles of sparkling water usually cost $1.69 each. This week they are on sale for 4 for $5 You bought one last week and one this week. Did you pay more or less for the bottle this week?
Answers
Given:
Usual cost of a bottle of sparkling water = $1.69 each
This week they are on sale for 4 for $5.
To find:
Did you pay more or less for the bottle this week?
Solution:
We have,
Usual cost of 1 bottle = $1.69
On sale, cost of 4 bottles = $5
On sale, cost of 1 bottles = [tex]\dfrac{\$5}{4}[/tex]
= $1.25
Since, $1.25 is less than $1.69, therefore the unit cost on sale is less than usual unit cost.
Hence, you pay less for the bottle this week.
Tsunamis, or large tidal waves are generated by underwater earthquakes in the Pacific Ocean. The speed of the tsunami in meters per second is 3.1d, where di is the depth of the ocean in meters.
Answers
Answer:
hi
Step-by-step explanation:
so i thin is 38.00 why because te inequality
free paints and brianliest
Marry christmas guys
Answers
Answer:
Yo
Merry Christmas and have a great day onwards
and thank you ❤
Answer:
thanks a lot friend!!!
Step-by-step explanation:
.......
What is the solution of the system of equations? Y=x-4 and y=-3x
Answers
Answer:
(-7,-3)
Step-by-step explanation:
step one) solve one equation for x.
y=-3x
-3x/-3=y/-3
x=(-y/3)
step two) plug in x for the other original problem.
y=x-4
y=(-y/3)-4
step three) solve for y.
y=(-y/3)-4
y+4=(-y/3)-4+4
3*(y+4)=(-y/3)*3
3y+12=-y
(3y+12)-3y=-y-3y
12/-4=-4y/-4
y=-3
step four) plug in -3 for y and solve for x.
y=x-4
-3=x+4
-3-4=x+4-4
-7=x
I am in algebra two so you can trust my answer. if you need more help lmk in the comments. happy holidays and stay safe!
January 19 national popcorn day. A bag of popcorn has the average of 450 kennels if 4%% of the kernels dont pop how manu pieces of popcorn will the bag make
Answers
Answer:
The bag will make 432 pieces of popcorn.
Step-by-step explanation:
From the information given, you know that the bag has an average of 450 kernels and that 4% don't pop. So, with this information you can find the pieces of popcorn that the bag will made by calculating 4% of the average number of kernels in a bag and subtracting the result from that amount:
450*4%=18
450-18=432
According to this, the answer is that the bag will make 432 pieces of popcorn.
What best describes the expression 6 over y? (1 point)
A. 6 times some number
B. 6 divided by some number
C. 6 minus some number
D. 6 more than some number
Brainliest goes to the first answer, thank you!
Answers
a= -3i
g=2i - 1lj
Find: -a - g
Answers
Answer:
Step-by-step explanation:
Given:
a= -3i
g=2i - 1lj
Solve:
-a - g
If l is an L then
-(-3i) - (2i-1lj)
i + lj
If I is an i then
-(-3i) - (2i-1ij)
i + ji