PLEASE HELP
3. The function E(v)= 15v^2 / 2 models the
kinetic energy E in joules of an object
with a mass of 15 kilograms, where v is
the velocity of the object in meters per
second. Write the inverse function v(E) to
find the velocity of a 15-kilogram object
with kinetic energy E.
Answers
Answer:
i think it is 15v (E) = √(2E/m)
Step-by-step explanation:
From the question given:
E = ½mv²
E is the kinetic energy
m is the mass of object
v is the velocity.
To find a model v(E) for the velocity of the object, we simply make V the subject of the above equation.
This can be obtained as follow:
E = ½mv²
Cross multiply
mv² = 2E
Divide both side by m
v² = 2E/m
Take the square root of both side
v = √(2E/m)
Therefore, the model v(E) for the velocity of the object is given by:
v (E) = √(2E/m)
The inverse function v(E) to find the velocity of a 15-kilogram object
with kinetic energy E should be [tex]15v (E) = \sqrt (2E/m)[/tex]
Calculation of the inverse relation:Since we know that
[tex]E = 1\div 2mv^2[/tex]
Here,
E is the kinetic energy
m is the mass of object
v is the velocity.
Now we can write like
[tex]mv^2 = 2E[/tex]
So,
[tex]v^2 = 2E/m[/tex]
Now Take the square root of both side
So,
[tex]v = \sqrt (2E/m)\\\\v (E) = \sqrt (2E/m)[/tex]
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Related Questions
Find the difference between 3 1/12 and 2 1/6. Leave your answer as a proper fraction or mixed number.
Answers
Answer:
[tex]\frac{8}{6}=1\frac{1}{3}[/tex]
Step-by-step explanation:
[tex]3\frac{1}{2}-2\frac{1}{6}[/tex] Fractions cannot be added or subtracted unless they have the same denominator (bottom number)
[tex]\frac{7}{2}-\frac{13}{6}[/tex] Change to an improper fraction. Multiply the denominator times the whole number (number on the side) then add to the numerator (top number) and place over the the denominator (3*2+1=7→[tex]\frac{7}{2}[/tex])
[tex](\frac{7}{2}*\frac{3}{3})[/tex] - [tex]\frac{13}{6}[/tex] In order to give both fractions the same denominator, find the least common denominator (LCD = one number that both denominators will divide evenly into) LCD = 6. Then multiply the top and bottom by a number that gives the LCD. We only need to multiply the first fraction top and bottom by 3.
[tex]\frac{21}{6} - \frac{13}{6} = \frac{8}{6}[/tex] This is an improper fraction because the numerator is larger than the denominator. To make a mixed number divide the numerator by the denominator and simplify.
[tex]\frac{8}{6} = 1\frac{2}{6} = 1\frac{1}{3}[/tex] [tex](\frac{2}{6} \frac{divided by}{divided by}\frac{2}{2} = \frac{1}{3})[/tex]
help........plsplav j h
Answers
Explication: 2*1/10=0.2
5*1/1000=0.005
0.2+0.005=2.05 (I think)
So the answer is 41/200! (Btw I was confirmed correct!) :)
AGAIN!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
for the first select option:
-MJ or ML or MK or KL
for the second select option:
-congruent or not congruent
for the third select option:
-include or do not include
for the fourth select option:
-congruent or not congruent
giving brainliest !
Answers
Answer:
1.) ML
2.) congruent
3.) include
4.) congruent
PLZ HELP ME!! BRAINILEST IF RIGHT!!!
Answers
Answer:
I believe that the answer is B)
Please answer fast !!!!!!
Look at the picture
Answers
Answer:
< EAC = 31 (small angle of blue triangle)
< BCA = 31 (small angle of green triangle)
< ABC = 104 (big angle of green triangle)
< BDC = 45 (yellow triangle)
< BDF = 135 (outside yellow triangle)
< AEG = 76 (outside blue triangle)
A video store charges $3 per movie, and the fourth movie is free. How much do you actually pay per movie?
Answers
Answer:
$2.25 per movie
Step-by-step explanation:
3(4)= $12
$12-$3= $9
$9/4= $2.25
Diego says that that the product of 0.51 × 2.427 will have five decimal places. Is Diego correct? Explain.
Answers
Answer: That is true
Step-by-step explanation: You add the decimal places of both numbers that u are multiplying
Answer:
Yes DIEGO is correct
Step-by-step explanation:
My man DIEGO
Write an expression: 5 less than a product of 6 and 3
Answers
Answer:
(6)(3)-5
Step-by-step explanation:
what is 1\10 in semplis form
Answers
Answer:
1/10 is the simplest form of the fraction
Can you guys help me quick please Becuase it’s due today please answer all my question that I posted
Answers
Answer:
y = x + 3
Step-by-step explanation:
1 + 3 = 4
2 + 3 = 5
3 + 3 = 6
And so on
Verbal description of a rotation requires: Click all that apply.
-Center Point
-Horizontal Movement
-Vertical Movement
-Degree of Rotation
-Scale Factor
-Direction of Rotation
Answers
Answer:
A
C
D
Step-by-step explanation:
I copied some smart kid
the slope of line is -1/3. what is an equation of a line that is perpendicular to line of t
Answers
Answer:
well you have to use y=mx and plugg your numbers in
Step-by-step explanation:
sorry its not much help
Next year, the company needs to earn 205% more money than this year. This year the company earned $10,300.
How much more money needs to be earned next year?
A
$211,150
B
$25, 750
C
$21,115
Answers
Answer:
the answer is c
Explanation:reason why I c chose is because add up every thing and multiply to see how much the company would get
Answer:
answer is 21,115 c
Step-by-step explanation:
20 people fit comfortably in a 9 feet by 10 feet area. Use this value to estimate the size of a crowd that is 7 feet deep on BOTH sides of the street along 1,500 inches of a parade route. Please show work c: Merci!
Answers
Answer:
389 people
Step-by-step explanation:
Step 1
we convert 1500 inches to feet
1 inch = 0.0833 feet
1500 inches = x feet
x = 1500 × 0.0833
x = 125 feet
Step 2
We create a proportion
Since it is on both sides
20/9ft × 10ft = x/7 feet × 125 feet × 2
20/90 = x/1750
Cross Multiply
90 × x = 20 × 1750
x = 20 × 1750/90
x = 35000/90
x = 388.88888889
approximately = 389 people
find the smallest number by which the number108 must be multiplied to obtain a perfect cube
Answers
Answer:
2
Step-by-step explanation:
108*2
=216
216
=6^3
PLS GIVE BRAINLIEST
Scenarios can be translated into
Answers
Answer:
can you please describe it more
Step-by-step explanation:
plz, help I need for my work.
Answers
Answer:
a
Step-by-step explanation:
Evaluate the expression.
P(8,1)
Answers
Answer:
y-y1=m(x-x1)
Step-by-step explanation:
y-1=9(x-8)
y-1=9x-72
y-9x=-71
If I have a black lab, then I have a dog. What is this statement called: if I do not have a dog then I do not have a black lab. HELP PLEASE
A) inverse
B) converse
C) conditional
D) contrapositive
Answers
Answer:
contrapositive
Step-by-step explanation:
es is in order from greatest
2. Which numbers from the list are less than
0.827
- 1.0.15, -1.47. -13.-0.83
2
1
2.
2
F. -, --147, and -0.83
G. -13, -1.47. and -0.83
H. 015, -, and -0.83
0.15, and -1.47
le at the grocery store
Five Omnitie
Answers
Answer:
G
Step-by-step explanation:
-1 3/5 < -1.47 < -0.83 < -4/5 < 0.15
Plzzzzz help asappppppp
Answers
The alternate interior angles theorem states that, the alternate interior angles are congruent when the transversal intersects two parallel lines. Hence, it is proved. Alternate interior angles can be calculated by using properties of the parallel lines.
Coordinates of Z if Y is the midpoint of XZ, X(10,9) and Y(-4,8)
Answers
Answer:
[tex]Z(x,y) = (-18,7)[/tex]
Step-by-step explanation:
Given
[tex]X = (10,9)[/tex]
[tex]Y = (-4,8)[/tex]
Required
Determine the coordinates of Z
From the question, we understand that Y is the midpoint
And the midpoint is calculated as:
[tex](x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
In this case:
[tex]Y(x,y) = (-4,8)[/tex]
[tex]X(x_1,y_1) = (10,9)[/tex]
[tex]Z = (x_2,y_2)[/tex]
So: This gives
[tex](x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
[tex](-4,8) = (\frac{10+x_2}{2},\frac{9+y_2}{2})[/tex]
Multiply through by 2
[tex](-8,16) = (10 + x_2,9+y_2)[/tex]
By comparison:
[tex]-8 = 10 + x_2[/tex] and [tex]16 = 9 + y_2[/tex]
Solving for x2
[tex]-8 = 10 + x_2[/tex]
[tex]-8 - 10 = x_2[/tex]
[tex]-18 = x_2[/tex]
[tex]x_2 = -18[/tex]
Solving for y2
[tex]16 = 9 + y_2[/tex]
[tex]16 - 9 = y_2[/tex]
[tex]7 = y_2[/tex]
[tex]y_2 = 7[/tex]
Hence, the coordinates of Z is:
[tex]Z(x,y) = (-18,7)[/tex]
A segment has a length of 18 inches it has been rotated de degrees around a center O. What is the length of the rotated segment
Answers
Answer: Wouldn't it still be 18 since it was just rotated and not dilated.
Answer:18in
Step-by-step explanation:
it will still be 18in because it rotated de degrees around
Complete the two-column proof using the answers in the bank. Given: DF ≅ EF FG bisects ∠DFE Prove: ∆DFG ≅∆EFG
Please explain the anwser, because I don't know how to do this correctly.
Answers
Answer:
Reasons:
1. Given
2. Given
3. Definition of bisector
4. Reflexive property
5. SAS Congruence
Step-by-step explanation:
This is quite easy to solve. All that you're expected to do is to complete the reason that justifies each statement given in the two-column proof.
Let's complete the proof as follows:
1. Statement: [tex] DF \cong EF [/tex]
1. Reason: Given
We know this statement is true because we are given in the question.
2. Statement: FG bisects <DFE
2. Reason: Given
We also know this because we are told so in the question, as shown in the diagram given.
3. Statement: [tex] \angle 1 \cong \angle 2 [/tex]
3. Reason: Definition of bisector
We know this because an angle bisector divides an angle into two equal halves. Therefore, the definition of bisector justifies why it was stated that [tex] \angle 1 \cong \angle 2 [/tex]
4. Statement: [tex] \overline{FG} \cong \overline{FG} [/tex]
Reason: Reflexive property.
5. Statement: ∆DFG [tex] \cong [/tex] EFG
5. Reason: SAS Congruence
Two sides (DF and FG) and an included angle (angle 1) of ∆DFG is congruent two corresponding sides (EF and FG) and an included angle (angle 2) of ∆EFG. Therefore, ∆DFG [tex] \cong [/tex] EFG by the Side-Angle-Side (SAS) Congruence Theorem.
Suppose you and your colleagues have identified three reliable and recent polls. Looking at the results of all three, you find their p-values to be: 0.058 0.026 0.045 Barring any major incidents between now and election day, how much evidence do you have to predict your candidate will win the election
Answers
Answer:
The answer is "Pretty confident our candidate will win".
Step-by-step explanation:
All the following theories:
[tex]H_o[/tex]: The loss of our candidate
[tex]H_a[/tex]: Our candidate
P values of 0.058, 0.026 and 0.045 are defined.
All values are below 0.10, but 2 of them will be below 0.05, which indicates very good proof of Ha. Therefore, the right reply is that our candidate will win very comfortably.
Brian works 4 hours on thursday and gets $95 in tips and 5 hours on friday and gets $178 in tips. If his total for 2 days is $320.25 how much is his hourly wage?
Answers
Answer:
5.25
Step-by-step explanation:
Jack is two years older than bob. If bob is x years old, what is the sum of jacks age and bobs age
Answers
Expression 2(x+1) represents the sum of bob and Jacks age.
What is Expression?An expression is combination of variables, numbers and operators.
Given,
Bob is x years old,
Jack is two years older than bob=x+2
we need to find the sum of jacks age and bobs age
x plus x plus two
x+x+2
Two times of x plus two
2x+2
Take two as common, two times of x plus one
2(x+1)
Hence expression 2(x+1) represents the sum of bob and Jacks age.
To learn more on Expressions click:
https://brainly.com/question/14083225
#SPJ2
hey. help pls and thank you
Answers
(0, -8) and (2, -2)
To find slope use this equation:
(Y2 - Y1)/(X2 + X1)
Input the points into the equation:
(-2 - (-8))/(2 - 0) —> (-2 + 8)/(2 - 0)
You find that it becomes:
6/2
Then simplify it:
3/1
So the answer is A
Question 17
(01.07 LC)
What is the product of 2.4 ⋅ 103 and 1.5 ⋅ 103? (1 point)
Question 17 options:
1)
3.6 ⋅ 106
2)
3.9 ⋅ 106
3)
3.6 ⋅ 109
4)
3.9 ⋅ 109
Answers
Answer:
3)
3.6 • 109
Step-by-step explanation:
i think lang naman bat kaylangan ng explanation charr!!