Mathematics College

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 1

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)

Answer 2

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]

Learn more about function here: https://brainly.com/question/24580305

Related Questions

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.

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]

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

help........plsplav j h

Answers

Just did this one! The answer is 41/200 :)
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!) :)

Plzzzzz help asappppppp

Answers

The measure of angle 7 is 61 degrees by the Alternate interior angles theorem.

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.

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

Can you guys help me quick please Becuase it’s due today please answer all my question that I posted

Answers

Basically letter B is the answer

Answer:

y = x + 3

Step-by-step explanation:

1 + 3 = 4

2 + 3 = 5

3 + 3 = 6

And so on

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:

3.6 • 109

Step-by-step explanation:

i think lang naman bat kaylangan ng explanation charr!!

find the smallest number by which the number108 must be multiplied to obtain a perfect cube

Answers

Answer:

Step-by-step explanation:

108*2

=216

216

=6^3

PLS GIVE BRAINLIEST

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:

Scenarios can be translated into

Answers

Answer:

can you please describe it more

Step-by-step explanation:

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

Answer:

Step-by-step explanation:

what is 1\10 in semplis form

Answers

Answer:

1/10 is the simplest form of the fraction

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)

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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

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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.