write as a power function. The energy, e, produced in a nuclear reaction is proportional to the mass, m, with a constant of variation being c^2, the square of the speed of light

Answers

Answer 1

Polynomial is an expression that consists of indeterminates(variable) and coefficients. The power function of the energy is e=mc².

What are polynomials?

Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.

The power function is a polynomial. Given the energy, e, produced in a nuclear reaction is proportional to the mass, m. Therefore, we can write,

e ∝ m

To remove proportionality we need to add a constant of variation which is c², the square of the speed of light

e = m c²

Hence, the power function of the energy is e=mc².

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Related Questions

what’s a problem with no solution

Answers

When a problem has no solution you'll end up with a statement that's false. For example: 0=1 This is false because we know zero can't equal one. Therefore we can conclude that the problem has no solution.

Answer: A problem with no solution is a problem with no applicable answer or the answer is not a real number or x ∉ R

What is the value of x in the equation shown Below?2(x+4)-4x=10x-4

Answers

Answer: 1

Step-by-step explanation:

The equation y= -3x7 describes a parabola. Which way does the parabola
open?

Answers

Answer:

See below

Step-by-step explanation:

y = -3 x^7   is NOT a parabola....   y = -3x^2  IS a parabola that opens downward due to the negative coefficient (-3)

Kiran walked at constant speed. He walked 1 mile in 15 minutes. Which of these equations represents the distance d (in miles) that Kiran walks in t minutes?
d = t + 14
d = t - 14
d = 15t
d = 115t

Answers

Answer:

C. d=15t

Step-by-step explanation:

it is C because you get the equivalent from the t and that t is the number 1 so 15×1 is 15

More information:

I hope this is able to help you, please feel free to give feedback if necessary :)

It takes Mario and Jessica 15 minutes to set up 5 tables. If Mario and Jessica work at a constant rate, which best describes a possible constant of proportionality?

Answers

Answer:

3 minutes per table

Step-by-step explanation:

15 minutes = 5 tables

to get how much it will be per table, divided both sides by 5

since 5 / x = 1 and x would be 5

15 / 5 minutes = 5 / 5 tables

3 minutes = 1 table

On Monday, 56 biographies were
checked out at the library. This is 8 less
than twice the amount of fiction books
checked out that day. How many fiction
books were checked out on Monday?

Answers

Books=1/2x-8
56=1/2x-8
X=(56+8)÷1/2
X=64 ÷ 1/2
X=128
128 books

According to the ilo, how many people are working by force or under coercion? a. 123,000 b. 1.23 million c. 12.3 million d. 123 million

Answers

The number of  people are working by force or under coercion stands at about 12.3 million.

What is the ILO?

The ILO is the acronym for International Labor Organization. It is the arm of the United Nations that is responsible for seeing to the Welfare of workers globally.

According to current statistics from the  International Labor Organization, the number of  people are working by force or under coercion stands at about 12.3 million.

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Answer:

c. 12.3 million

got it right on edge)))

Hi, I'm in 7th grade and I'm about to fail Mathematics. Please help me...
2x - 5x =

Answers

i beliebe 3×=0

ao the answer should be x/0

Answer:

-3x

Step-by-step explanation:

The order of where the terms are placed definitely matter for subtraction. 5x-2x is 3x, but because the smaller number is first, we've gone into the negatives. Think of it like this:

2x - 5x

-2x   -2x

__    __

0      -3x

Because we still have the - in front of the 3, it is a negative 3.

Hope this helps!

Make x the subject of the formula. y=(x-4)2+6 p.s the two is square

Answers

[tex]~~~~~~~~y = (x-4)^2 +6\\\\\implies (x-4)^2 = y-6 \\\\\implies x -4 = \pm\sqrt{y-6}\\\\\implies x = \pm\sqrt{y-6} +4[/tex]

During a game of golf, Kayley hits her ball out of a sand trap. The equation h = t? + 4t -
21 models the height of the golf ball in feet in relation to the number of t seconds since it was hit. Kayley solved the quadratic by factoring: .
a. How many seconds does it take for her ball to reach the green?
b. How do we know the 2nd value isn't also a solution?

Answers

A quadratic equation is in the form of ax²+bx+c. It took 3seconds for the golf ball to reach the green.

What is a quadratic equation?

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.

A.) The time that the ball takes to reach the green can be found by equation the equation against zero. As the ball will have 0 height when it will be on the green,

t²+4t-21=0

t²+7t-3t-21=0

t(t+7)-3(t+7)=0

(t+7)(t-3)=0

t = -7, 3

Hence, it took 3seconds for the golf ball to reach the green.

B.) Since the time can not be negative the second value is wrong.

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Can i have some help Please! (Brainliest As Well if it lets me) Pick question 16 or 17 to answer i only have to do one Be specific in your comparisons - think about K (dilation scale factor) and how K changed for circumference versus area. You will need to look up the formula for surface area of a sphere.

Answers

For problem 17, if you double the diameter of the moon, then the surface increases by a factor of 4 and the volume by a factor of 8.

How to compare the change in surface and volume?

Let's answer question 17.

Remember that for a sphere of radius R, the volume is:

[tex]V = (4/3)*pi*R^3[/tex]

And the surface area is:

[tex]S = 4*pi*R^2[/tex]

So the volume depends on the cube of the radius and the surface on the square of the radius.

Now, if we double the diameter of the moon, then we also double the radius.

So the new volume will be:

[tex]V' = (4/3)*pi*(2*R)^3 = 8*[(4/3)*pi*R^3] = 8*V[/tex]

The new volume is 8 times the original volume.

And for the surface:

[tex]S' = 4*pi*(2*R)^2 = 4*[4*pi*R^2] = 4*S[/tex]

So the new surface is 4 times the original surface.

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Lynn has scores of 95, 91, and 88 on three tests. Write and solve an equation to find
a fourth score that will produce an average of 90 for the four tests.

Answers

Answer:

86

Step-by-step explanation:

the equation that needs to be made is

(95+ 91+ 88+ x)/4 = 90

this means that the sum of 95, 91, 88, and x is 360.

95 plus 91 is 186. 186 plus 88 is 274

360-274 = 86

give brainliest please!
hope this helps :)

Meg is 6 years older than Victor. Meg's age is 2 years less than five times Victor's age. The equations below model the relationship between Meg's age (m) and Victor's age (v):

m = v + 6
m = 5v − 2

Which is a possible correct method to find Meg's and Victor's ages? (5 points)

Solve m + 6 = 5m − 2 to find the value of m.
Write the points where the graphs of the equations intersect the x axis.
Solve v + 6 = 5v − 2 to find the value of v.
Write the points where the graphs of the equations intersect the y axis.

Answers

Answer:

Solve v + 6 = 5v − 2 to find the value of v.

Step-by-step explanation:

Answer:

Option 3

Step-by-step explanation:

The correct method to find Meg's and Victor's ages is to equate the equations for their ages.

Hence. the answer is :

Solve v + 6 = 5v − 2 to find the value of v.

Please help!!

The two-way frequency table below shows data on playing a sport and playing a musical instrument for in a class.

Answers

Answer:  Check out the screenshot below for the answers

==========================================================

Explanation:

For each column, we divide the values by the sum of each column.

The sum of the first column is 6+8 = 14, and the sum of the second column is 7+3 = 10.

Column 1:

6/14 = 0.438/14 = 0.57

Those values are approximate to two decimal places.

Column 2:

7/10 = 0.703/10 = 0.30

Those values are exact.

The values in bold are then filled in the table as you see below.

A result like 0.43 means that 43% of those who play a sport also play an instrument. The other values are interpreted in a similar fashion.

HELP ASAP

Find the volume of the sphere. Round your answer to the nearest tenth.

Answers

Answer:

V = 3053.63 mm^3

Step-by-step explanation:

radius : 9mm

V = 4/3 * pi * r^3

V = 4/3 * (3.1415926535898...) * 9^3

V = 3053.63 mm^3

A triangular brace has an angle measure of 30 degrees, with a side opposite
this angle measuring 8 inches. The base of the triangular brace, which is
adjacent to the given angle measure, is 11 inches in length. Which of the
following statements is correct?
A. There is not a solution for the angle opposite the side measuring
11 inches.
B. The angle opposite the side measuring 11 inches has one solution
of approximately 43 degrees.
C. The angle opposite the side measuring 11 inches has one solution
of approximately 62 degrees.
D. The angle opposite the side measuring 11 inches, has two
solutions of approximately 43 degrees and 137 degrees.

Answers

The angle opposite the side measuring 11 inches has one solution of approximately 43°. Thus, the correct option is B.

What is Sine rule?

The sine rule of trigonometry helps us to equate the side of the triangles to the angles of the triangles. It is given by the formula,

[tex]\dfrac{Sin\ A}{\alpha} =\dfrac{Sin\ A}{\beta} =\dfrac{Sin\ A}{\gamma}[/tex]

where Sin A is the angle and α is the length of the side of the triangle opposite to angle A,

Sin B is the angle and β is the length of the side of the triangle opposite to angle B,

Sin C is the angle and γ is the length of the side of the triangle opposite to angle C.

Using the sine rule, the measurement of the angle of opposite the side measuring 11 inches can be done. Therefore, the measure can be written as,

8/ Sin(30°) = 11/ Sin(θ)

Sin(θ) = [11 × Sin(30°)]/8

Sin(θ) = 0.6875

θ = Sin⁻¹ (0.6875)

θ = 43.4325° ≈ 43°

Hence, The angle opposite the side measuring 11 inches has one solution of approximately 43°. Thus, the correct option is B.

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Find the slope and y-intercept for the following graph of a linear equation

Answers

Answer:

Slope: [tex]\frac{4}{1}[/tex]

Y - intercept: -1

Step-by-step explanation:

We can see from the graph that the slope is [tex]\frac{4}{1}[/tex].

We can also identify the y - intercept as -1.

Therefore, the linear equation would be y = [tex]\frac{4}{1}[/tex]x -1

Hope this helps:) Goodluck!

QUICKLY!!
Which of the following formulas is used to calculate the probability of mutually exclusive events

Answers

Answer:

P(AUB)=P(A)+P(B)

Step-by-step explanation:

I found it somewhereI don't know?Trust me:)

How do I simplify this (w²+6)-(3w² + 4w)

Answers

Answer:

6-2w(w+2)

Step-by-step explanation:

6-2w²+4w

6-2w(w+2)

Which one is the right answer

Answers

Answer:

The answer is C. Quadrant 3.

Step-by-step explanation:

Looking up a Unit Circle. We can see that 5pi/4 is in quadrant 3.

5pi/4 is also if in degree angle as 225°

5ab^2 - 12a^2b + 3ab + ab^2 + 4a^2b

(a) 6ab^2 + -8a^2b + 3ab
(b) -7ab^2 + 8a^2b + 3ab
(c) 6a^2b^4 - 8a^4b^2 + 3ab
(d) 5a^2b^4 + -8a^4b^2 + 3ab

Answers

Answer:

(a) 6ab² - 8a²b + 3ab

Step-by-step explanation:

Given: 5ab² - 12a²b + 3ab + ab² + 4a²b

In this question, we will be combining like terms.

What are like terms?

Like terms are terms with the same variables and power. For example, 2x and 4x, as well as 2a² and 4a².

Combine like terms:

5ab² - 12a²b + 3ab + ab² + 4a²b

(5ab² + ab²) + (-12a²b + 4a²b) + 3ab

6ab² - 8a²b + 3ab

14 What are the solutions to the equation 3(x − 4)² = 27?
(1) 1 and 7
(3) 4 ± √24
(2) −1 and -7
(4) − 4 ± √24

Answers

Answer:

(1) 1 and 7

Step-by-step explanation:

Hello!

We can solve by isolating the variable.

Solve3(x - 4)² = 27
(x - 4)² = 9
√(x - 4)² = √9
(x - 4) = ± 3
x = 4 ± 3

There are two solutions, 1 and 7.

The answer is option 1: x = 7, x = 1.

g(x) = x3 + 6x2 + 12x + 8

A 2-column table with 5 rows. The first column is labeled g of x with entries negative 3, negative 2, 0, 2, 3. The second column is labeled f of x with entries negative 1, 0, 8, 64, 125.

Determine the function’s value when x = −1.

Answers

The value of the function g(x) = x^3 + 6x^2 + 12x + 8 when x = -1 is 1

How to evaluate the function?

The equation of the function is given as:

g(x) = x^3 + 6x^2 + 12x + 8

When x = -1, we have:

g(-1) = (-1)^3 + 6(-1)^2 + 12(-1) + 8

Evaluate the expression

g(-1) = 1

Hence, the value of the function g(x) = x^3 + 6x^2 + 12x + 8 when x = -1 is 1

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Answer:

g(-1) = 1

Step-by-step explanation:

Abc car share inc. offers car sharing for a $199 yearly fee plus $14/hr for the
use of its car share. what is the total cost for a person who purchases a car
share and uses it for 72 hours total time?

Answers

The total cost for a person who purchases a car share and uses it for 72 hours is $1207.

What is the total cost?

The total cost is a function of the yearly fee and the cost per hour.

Total cost = yearly fee + (total hours the car was used for x cost per hour)

$199 + (72 x $14)

$199 + $1008 = $1207

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Which relation is a function? PLEASE HELP

Answers

Answer:

A

Step-by-step explanation:

for the relation to be a function then each value of x in the domain must map to exactly one unique value of y in the range

this is the case for A

in B : 3 → 2 and 3 → 8 ← not a function

in C : - 2 → 5 and - 2 → 7 ← not a function

in D : 2 → 2 and 2 → 3 and 3 → 3 and 3 → 2 ← not a function

Answer is A I did this

Jane had a salad In her refrigerator she ate 2/8 of it for lunch and 3/8 of it dinner and what fraction of the salad is left

Answers

Answer:

3/8

Step-by-step explanation:

2 + 3=5, (8/8)-( 5/8) =3/8

Answer:

3/8

Step-by-step explanation:


The area of a newspaper page (opened up) is about 640.98 square inches. Determine the length and width of the page if its length is about 1.25 times its width.
The width of the page is ___ inches.

Answers

.✎let's answer it :3

question

The area of a newspaper page (opened up) is about 640.98 square inches. Determine the length and width of the page if its length is about 1.25 times its width.

The area of a newspaper page (opened up) is about 640.98 square inches. Determine the length and width of the page if its length is about 1.25 times its width.The width of the page is ___ inches.

answer 1.24 inches

hope it helps

correct me if I am wrong

by #galadohannadivine29

Help!! I don’t understand how to answer this

Answers

Answer:

The answer is option A

Step-by-step explanation:

The solution is in the image

If α and β are the zeros of the quadratic polynomial f(x) = 6x²+x-2, then the value of

1. α²+β²
2. 1/α+1/β​

Can Someone Answer This Quick Thank You<3

Answers

Answer:

Given function:

[tex]f(x)=6x^2+x-2[/tex]

To find the zeros of the function, set the function to zero and factor:

[tex]\implies 6x^2+x-2=0[/tex]

[tex]\implies 6x^2+4x-3x-2=0[/tex]

[tex]\implies 2x(3x+2)-1(3x+2)=0[/tex]

[tex]\implies (2x-1)(3x+2)=0[/tex]

Therefore, the zeros are:

[tex]\implies (2x-1)=0 \implies x=\dfrac{1}{2}[/tex]

[tex]\implies (3x+2)=0 \implies x=-\dfrac{2}{3}[/tex]

If α and β are the zeros of the function:

[tex]\textsf{Let } \alpha=\dfrac{1}{2}[/tex][tex]\textsf{Let } \beta=-\dfrac{2}{3}[/tex]

Question 1

[tex]\begin{aligned}\implies \alpha^2+\beta^2 & =\left(\dfrac{1}{2}\right)^2+\left(-\dfrac{2}{3}\right)^2\\\\& = \dfrac{1}{4}+\dfrac{4}{9}\\\\& = \dfrac{9}{36}+\dfrac{16}{36}\\\\& = \dfrac{25}{36}\end{aligned}[/tex]

Question 2

[tex]\begin{aligned}\implies \dfrac{1}{\alpha}+\dfrac{1}{\beta} & = \dfrac{1}{\frac{1}{2}}+\dfrac{1}{-\frac{2}{3}}\\\\& = 1 \times \dfrac{2}{1}+1 \times -\dfrac{3}{2}\\\\& = 2 - \dfrac{3}{2}\\\\& = \dfrac{1}{2}\end{aligned}[/tex]

Answer:

[tex]1) ~\alpha^2+\beta^2 = \dfrac{25}{36}\\\\\\2)~\dfrac 1 {\alpha} + \dfrac 1{\beta} = \dfrac 12[/tex]

Step-by-step explanation:

[tex]\text{Given that,}\\\\f(x) = 6x^2 +x -2~ \text{and the roots are}~ \alpha, \beta\\\\\text{Now,}\\\\\alpha + \beta = -\dfrac{b}{a} = -\dfrac{1}{6}~~~~~;[\text{Compare with the standard form}~ ax^2 +b x + c = 0]\\\\\alpha \beta = \dfrac ca = -\dfrac2 6 = - \dfrac 13\\\\\\\textbf{1)}\\\\\alpha^2 +\beta^2\\\\\\=\left(\alpha +\beta \right)^2 - 2 \alpha \beta \\\\\\=\left( -\dfrac 16 \right)^2 -2 \left(- \dfrac 13 \right)\\\\\\=\dfrac{1}{36}+\dfrac 23\\\\\\=\dfrac{25}{36}[/tex]

[tex]\textbf{2)}\\\\\dfrac 1{\alpha} + \dfrac 1{\beta} \\\\\\=\dfrac{\alpha + \beta}{\alpha \beta }\\\\\\=\dfrac{-\tfrac16}{-\tfrac 13}\\\\\\=\dfrac{1}{6} \times 3\\\\\\=\dfrac{1}{2}[/tex]

Question 3 of 10
If P(x,y) is the point on the unit circle determined by real number ø, then tang

Answers

The tangent on the unit circle is y/x

How to determine the tangent value?

The point on the unit circle is given as:

Point = (x,y)

By default

(cos(ø), sin(ø)) = (x,y)

This means that:

cos(ø) = x

sin(ø) = y

The tangent of an angle is:

tan(ø) = sin(ø)/cos(ø)

So, we have:

tan(ø) =y/x

Hence, the tangent on the unit circle is y/x

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Write a compound sentence that contains a prepositional phrase. Which pair of numbered sentences best completes the diagram showing partof the legislative process in the House of Representatives?A bill isformallysponsored.1Debate takesplace on thefloor of theHouse.2OA. (1) Representatives take a vote on the bill. (2) The bill is sent tothe Senate for ratification.OB. (1) The Rules Committee evaluates the bill. (2) The presidentreviews the bill.OC. (1) The president decides whether to veto the bill. (2) The RulesCommittee approves the bill.OD. (1) The bill is reviewed by a committee. (2) Representatives voteon the bill. Ivan is the head of human resources for a large company. He is served with legal papers that outline a lawsuit brought against the company by a former employee. She is alleging that she was terminated because of discrimination. Discuss how Ivan can use the former employees written performance appraisals to refute this charge. which of the following is an early sign or symptom of Gonorrhoea?A.) Brain damageB.) hard red ulcers around genitalsC.) burning sensation when urinatingD.) blisters around genitalsPLEASE CHOOSE THE CORRECT ANSWER, TY. Karishma is setting up a wired network for a small office. Which hardware component on the computer will help in network connection, and which cables will she use for the most economical network connection?A bridgenetwork interface cardrepeater connects a computer to a network.Fiber-opticShielded twisted-pairUnshielded twisted-pair cables are the cheapest option for network connections. PLEASE HELP find the arch shown in red leave your answer in terms of pi Which expression is equal to5(2x-1) + 3(7x + 1)?11x + 211x-231x + 231x-2 What are some examples of what can be changed through options available in the Font dialogue box? Check all that apply.font familyitalicizingboldingpastingdrop shadowcuttingcharacter spacingspecial symbols Use the following information to calculate the correct frequencies: In a population ofPennsylvanians, only 18% of individuals express the recessive trait of Syndactyly or webbed finger(formulas: p+q=1 and p+2pq+q2=1)a. What percentage of the population are not Webbed? Graph the line with the equation y=-x-6 6x + 3xhow do you factor out the GCF in this question?? Two friends decide to start selling their drone camera aerial footage. Which economic question have they answered? For whom to produce? How much to produce? How to produce? What to produce? Simplify 5^-4/5^3 (help please asap) Which elements does country music try to balance If a lever has an input arm of 80 cm and an output arm of 20 cm, what is its ideal mechanical advantage? 6) which of these most closely identifies the contrast between category 3 and category 4? a) category 3 deals with the united keetoowah band, and category 4 summarizes the information from the other three categories. b) category 3 deals with the united keetoowah band and category 4 discusses all persons not included in categories 1 through 3. c) category 3 deals with all persons not included in other categories, and category 4 is specifically about the united keetoowah band. d) only category 4 deals with genealogical research and the ukb council, which is the supreme governing body of the old cherokee nation. For which groups did president clinton make repeated attempts to broker a peace agreement?. here are the questions. En la fiesta a niche, divertirse ustedes 4 out of every 7 students in a school eat a packed lunch. The rest eat a school meal.Which of the following statements is correct?47% of students eat a school mealThe ratio of school meal to packed lunch is 7 : 4The ratio of packed lunch to school meal is 4 : 356% of students eat a packed lunch