Task: E = mc2
E = mc2 is one of the most recognizable equations in the world. Published by Albert Einstein in 1905, the
equation describes a fundamental relationship between energy, E, and matter (or mass), m. But what exactly
is the relationship? What does it mean? In this task, you will parse, or analyze the parts.of the equation in
order to understand it better. Let's start with what the variables represent: E stands for energy, m stands for
mass, and c stands for the speed of light. Use these definitions to complete the exercises below.
4. [10 points] Rewrite the equation to solve for the speed of light, c. Use rational exponents instead of
roots (radicals).

Answer: Neither angle measures nor segment lengths

Answer:

your answer is "A" 1/3

Step-by-step explanation:

Answer:

n = 25°

Step-by-step explanation:

All interior angles of a triangle add up to 180°. We already know one of the angles is 90°, so we can build an equation:

90 + (n + 40) + n = 180.

Then we combine like-terms and subtract:

130 + 2n = 180,

2n = 50.

Then we divide by 2 to get our answer:

n = 25.

To double check, we insert 25 as our value:

90 + (40 + 25) + 25 = 180.

Answer:

sample.

Step-by-step explanation:

It is given that a department store wants to know what motivated customers to visit their store on that particular day.

We need to fill the blank.

Since 80 percent of the customers are male, researchers have decided to collect a ____ by ensuring that 8 out of every 10  survey participants are male.

For survey, researchers need small part of whole data, i.e., sample.

So, the required answer is "sample".

Since 80 percent of the customers are male, researchers have decided to collect a sample by ensuring that 8 out of every 10  survey participants are male.

Since 80 percent of the customers are male, researchers have decided to collect an erroneous sample by ensuring that 8 out of every 10 survey participants are male. This is a sampling error.

A sampling error can arise when the said sample is not representative of the entire population as is in the case of the example above.

To eliminate the statistical error, the sample must be collected in such a way that the probability of every member of the population being included in the sample is equal to 1.

Learn more about sampling errors at:
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Answer:

Part A: 7/10

Part B: 1/2

Part C: look below*

Step-by-step explanation:

Part A:

The probablity is a 7/10 because in the previous record the gerbil went left 7 out of the 10 times

Part B:

Theoretically the gerbil has a 1/2 of going either left or right since there are two options.

Part C:

The experimental probabilty does not equal the theoretical probability because during the trial the gerbil went left 7/10 and theoretically the gerbil would go left 5/10 times.

Answer:

Z = 8

Step-by-step explanation:

4 5/8 = 37/8

1/Z = 37/8

So..

Z = 8

Hope this helps! :)

Answer:

0.005 square meters

Step-by-step explanation:

To convert a square centimeter to a square meter, divide the value by 10,000.

[tex]50/10000=0.005[/tex]

50 square centimeters is 0.005 square meters.

Answer:

3.1415926535 8979

Step-by-step explanation:

bruh just search it in google

Answer:

the solution is A

Step-by-step explanation:

[tex]\sqrt[3]{27a^{3}b^{7} } \\[/tex]

[tex]\sqrt[3]{(3)^3(a^3)(b^6)b}\\\\3ab^2\sqrt[3]{b}[/tex]

Answer:

3ab^2(3/b)

THE ANSWER A

Step-by-step explanation:

2020 HEHE

Answer:

For each additional pound, the price increases $1.50.

Step-by-step explanation:

Lets find the slope of the graph of othe given data.

Let x be the weight of pumpkin in pounds

Let y be the price of the pumpkin in dollars.

For 4 pound pumpkin the price is 6 dollars, so first point is (4,6)

For 8 pound pumpkin the price is 12 dollars, so first point is (8,12)

Find the slope between these points

m = y₂ - y₁ / x₂ - x₁

m = 12 - 6 / 8 -4

m = 6/4

m = 1.5

Which means that for every pound increase in weight, the price of pumpkin increases by 1.5 dollars

Answer:

B

Step-by-step explanation:

Answer: it is a

Step-by-step explanation:

Answer:

f(x) = x^4 - x^3 - 7x^2 + x + 6

Step-by-step explanation:

Please, always share the instructions with every question you post.  I am assuming that you are to write out the factors corresponding to the given roots, thus constructing a 4th degree polynomial, and then performng the multiplication necesssary to produce that polynomial with terms in descending order by power of x.  Note that there must be 5 such terms.

f(x) = (x + 2)(x + 1)(x - 1)(x - 3)

Multiplying this out, we get:  

f(x) = (x + 2)(x^2 - 1)(x - 3), or

f(x) =      (x^3 - x + 2x^2 - 2)(x - 3), or:

f(x) = (x^3 + 2x^2 - x - 2)(x - 3), or:

f(x) = x^4 + 2x^3 - x^2 - 2x - 3x^3 - 6x^2 + 3x + 6

Combining like terms, we get:

f(x) = x^4 - x^3 - 7x^2 + x + 6

Note that because this is a 4th degree polynomial, the end behavior resembles that of the graph of y = x^4.  As x increases, y initially decreases in Quadrant II, passes through the y-intercept (0, 6), and then increases without bound in Quadrant I.

Answer:

1500

Step-by-step explanation:

Let the length of the perpendicular dropped from the right angle to the hypotenuse be h units.

Now by geometric mean property:

[tex]h = \sqrt{1600 \times 900} \\ h = 40 \times 30 \\ h = 1200 \: units \\ Next \: by \: Pythagoras \: Theorem: \\ {x}^{2} = {h}^{2} + {900}^{2} \\ {x}^{2} = {1200}^{2} + {900}^{2} \\ {x}^{2} = 1440000 + 810000 \\ {x}^{2} = 2,250,000 \\ x = \sqrt{2,250,000} \\ \huge \red{ \boxed{x = 1500\: units }}[/tex]

Answer:

1500

Step-by-step explanation:

Use the right triangle altitude theorem.

x/900 = 2500/x

x^2 = 900 * 2500

x = sqrt(900 * 2500)

x = 30 * 50

x = 1500

Answer:

4 terms

Step-by-step explanation:

There are 4 terms in the given expression:

=> 55

=> 14n

=> -2m

=> 3p

Answer:

This equation is false

Step-by-step explanation:

Well,

-11b + 7 = 4 - 11b + 7 = 40

combine like terms

-11b + 7 = -11b + 3 = 40

Communicative property

-3 to both sides

-11b + 4 = -11b = 40

-4 to both sides

-11b = -11b = 36

+11b to both sides

0 = 36

0 is not equal to 36 meaning that this equation is false.

Thus,

the equation given is false.

Hope this helps :)

Answer:

b= -3

Step-by-step explanation:

So uh it was not -11b+7 = 40−11b+7=40

it was -11b+7 = 40 the equasion was probably just copy pasted twice.

Sorry im  late i just got this question on khan acadamey

hope this helps

Answer:

B. a^2x

Step-by-step explanation:

squaring a^x gives. (a^x)²

by applying the rules of indices, ^2 multiplies x therefore making it a^2x

Answer: C

Step-by-step explanation:

5 squareroot 2 = 7.07 which if you look up a 45 45 90 triangle calculator it is also eqivelant :)

Answer:

Range remains the same.

Step-by-step explanation:

(1,3),(-2,1),(-5,-1) and (1,-2)

The range is { -2 ≤ y≤ 3 } .

Transformation is changing the graph to a new one by Rotation, Reflection, Translation, and Dilation.

Reflection is to create a mirror image of the coordinate or the figure.

After reflection along any axis, the coordinate of the other axis changes to its additive inverse.

(x,y) ----> when reflected along y axis ----> ( -x , y)

The domain is all the values a function can have as input and the range is all the values that a function can have.

The original coordinate changes to  (-1,3),(2,1),(5,-1)and(-1,-2).

When reflected along the y-axis, the coordinates of the x-axis change and there is no change in the y-axis.

So the value of the domain changes while the range remains the same.

The range is { -2 ≤y≤3}

To know more about Transformation

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Answer:

D:  Acute triangle

Step-by-step explanation:

First check whether this could be a right triangle.  Using the Pythagorean Theorem, we get:

5^2 + 6^2 = ? = 7^2      This equation is not true, and therefore the triangle is not a right triangle.

The side lengths 5, 6 and 7 are very close to one another, and so the triangle must have essentially similar interior angles, which means that all three angles are acute.  Answer D is correct:  This is an acute triangle.

Answer: D) Acute

Step-by-step explanation:

Answer:

-24

Step-by-step explanation:

8×-3=-24

hope you understood

Answer:

44 units length

Step-by-step explanation:

The side splitter theorem states that if a line is parallel to a side of a triangle and the line intersects the other two sides, then this line divides those two sides proportionally. Therefore:

20/10 = x/22

20/10*22 = x

44 = x

Answer:

n = 1/2

Step-by-step explanation:

So the equation is 4/5n - 1/5 = 2/5n.

So, the first thing that we need to do is get the variable on one side.

So, to do that we need to subtract 4/5n on both sides.

Now our equation is -1/5 = -2/5n

Now the last step is to simplify.

To do that, we need to multiply by the reciprocal of 2/5 on both sides.

That leaves us with 1/2 = n

Answer:

n = 2

Step-by-step explanation:

=> [tex]\frac{4}{5n} - \frac{1}{5} = \frac{2}{5n}[/tex]

Combining like terms

=> [tex]\frac{4}{5n } - \frac{2}{5n} = \frac{1}{5}[/tex]

=> [tex]\frac{4-2}{5n} = \frac{1}{5}[/tex]

=> [tex]\frac{2}{5n}= \frac{1}{5}[/tex]

Cross Multiplying

=> 5n = 2*5

=> 5n = 10

Dividing both sides by 5

=> n = 2

Answer:

30.24/16= $1.89 per gallon = c/g

Step-by-step explanation:

c = $30.24

g = 16

Divide c/g

Answer:

g gallon = $1.89 g

Step-by-step explanation:

Gallon = g

16 gallons = 16 g

Cost = $30.24

So,

16 gallons = $30.24

1 gallon = $30.24/16

1 gallon = $1.89

g gallon = $1.89 g

As x approaches infinity, the value of f(x) approaches infinity and the value of g(x) approaches negative infinity. Then the correct option is C.

The equation of a quadratic function, of vertex (h, k), is given by:

y = a(x – h)² + k

Where a is the leading coefficient.

Consider functions f and g below.  

g(x) = –x² + 2x + 4

The function can be written as

g(x) = –(x – 1)² + 5

As x approaches infinity, the value of f(x) approaches infinity and the value of g(x) approaches negative infinity.

Then the correct option is C.

More about the parabola link is given below.

https://brainly.com/question/8495504

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Answer:

.7

Step-by-step explanation:

Answer:  The slope is five over three

Step-by-step explanation:

The equation for this graph would be:  y= 5x/3 +5

Answer:

5

Step-by-step explanation:

Initial value is basically another way to say the y intercept. I mean if you think about it, most word problem linear relations start the graph at the y intercept.

Hope this helps :)

Answer:

6sqrt(2)

Step-by-step explanation:

Use the right angle altitude theorem.

4/a = a/18

a^2 = 4 * 18

a^2 = 2 * 36

a = 6sqrt(2)

Answer:

m<y = 155

Step-by-step explanation:

If m<x = 155, then m<y = 155 (Because vertically opposite angles are congruent)

Answer:

155°

Step-by-step explanation:

The two angles are a pair of vertically opposite angles.

Verticall opposite angles are opposite to each other and are equal.

Angle x = Angle y

155 = 155

Answer:

2775.9  

Step-by-step explanation:

options are

A) 578

B) 2775.9

C) 134.591

D) 31.757

Value of digit 5 in 4.59 is 0.5 as is is at tenth place after decimal

0.5 = 5/10

ten times of this value = 5/10*10 = 5

Thus, 5 is the value, and hence the number which we require should be at unit place of the required number.

In the given question

A) 578

here 5 is at hundredth place

other way to represent is is 500+70+8

B) 2775.9

here 5 is unit place and is correct option

it can be represented as

2000+ 700+ 70+ 7 + 9/10

c)C) 134.591

here 5 is tenth place after decimal

it can be represented as

100+ 30+ 5 + 5/10+9/100 + 1/1000

d)31.757

here 5 is hundredth place after decimal

it can be represented as

30+ 1 + 7/10+5/100 + 7/1000\

Hence, 2775.9  is correct choice.

Answer:

  2

Step-by-step explanation:

A state has 2 senators, so once you choose the state, there are 2 ways you can choose a senator from that state.