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sergeinik [125]
3 years ago
14

E=mc2 is one of the most recognizable equations in the world. In this task, you’ll attempt to understand it better. Let’s start

with what the letters mean. The letter E stands for energy, the letter m stands for mass, and the letter c stands for the speed of light. The meaning of this equation is that you can completely convert mass into energy. a. Rewrite the equation to solve for the speed of light, c. Use rational exponents instead of roots.
Mathematics
1 answer:
Mashutka [201]3 years ago
3 0
\bf a^{\frac{{ n}}{{ m}}} \implies  \sqrt[{ m}]{a^{ n}} \qquad \qquad
\sqrt[{ m}]{a^{ n}}\implies a^{\frac{{ n}}{{ m}}}\\\\
-------------------------------\\\\
E=mc^2\implies \cfrac{E}{m}=c^2\implies \sqrt{\cfrac{E}{m}}=c\implies \left( \frac{E}{m} \right)^{\frac{1}{2}}=c
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PLEASE HELP RIGHT NOW :(
Burka [1]
Answer: b, c, and e
Explanation: only those fit the requirements to be considered a mathematical sentence.
3 0
3 years ago
If the polynomial 6x6 – 4x5 + 9x – 6 is to be factored by grouping, which step should be taken?
Tems11 [23]
I think you're trying to say 6x^6-4x^5+9x-6. ^ Is a symbol that means the number after it is an exponent.
First step, find the gcf (greatest common factor) between the first two parts. The gcf of 6x^6-4x^5 is 2x^5.
Now take it out. You get
2x^5(3x-2)
If you expand that equation, you will get 6x^6-4x^5 which is why you know it's correct.
Now do the same for the second half.
The gcf for the second two parts is 3.
3(3x-2)
Notice anything? Yep, in both of them, after you take out the gcf, you get (3x-2)
Now, you combine them into one equation
2x^5(3x-2)+3(3x-2)
Then you do this
(2x^5+3)(3x-2)
That's your factored form.
3 0
3 years ago
Mr. Cole made this diagram of his bedroom. Which is the area of Mr. Cole’s bedroom? 90 square feet 82 square feet 72 square feet
mrs_skeptik [129]

Answer:

The answer is 82 square feet

Step-by-step explanation:

An easy way to do this is to split it into two rectanlges. You can do 10*5 and 8*4 as the dimensions to the two rectangles or you can do 2*4 and 9*8.

I am going to do the first option.

The area of a rectangle is length times width.

Rectangle one can be the one with the dimensions 10 and 5 and the length and width.

Rectangle two can be the one with the dimensions 8 and 4 and the length and width.

Area of rectangle one = 50 feet^2

Area of rectangle two = 32 feet^2

Since we split a large irregular shape into two bits, we must add them together, which results in 82 feet^2.  

3 0
3 years ago
Which number is the least? 2.07, 2.94, 2.81, 2.069
Anton [14]
2.069 should be the least
4 0
3 years ago
Read 2 more answers
URGENT!!! PLEASE HELP
Salsk061 [2.6K]

Answer:

c is 30.

The angles, from left to right, are:

66, 94, and 20.

Step-by-step explanation:

The three angles form a straight angle. In other words, they sum to 180. So, we can write the following equation:

(2c+6)+(3c+4)+(\frac{1}{2}c+5)=180

Let's solve for c. Combine like terms:

(2c+3c+0.5c)+(6+4+5)=180

Add:

5.5c+15=180

Subtract 15 from both sides:

5.5c=165

Divide both sides by 5.5:

c=30

So, the value of c is 30.

Now, substitute it into each of the angles to find their respective measures.

Left-Most Angle:

We have:

2c+6

Substitute 30 for c. This yields:

=2(30)+6

Multiply and add:

=60+6=66

Middle Angle:

We have:

3c+4

Substitute 30 for c:

=3(30)+4

Multiply and add:

=90+4=94

Right-Most Angle:

We have:

\frac{1}{2}c+5

Substitute 30 for c:

=\frac{1}{2}(30)+5

Multiply and add:

=15+5=20

So, our angles, from left to right, are: 66, 94, and 20.

And the value of c is 30.

And we're done!

3 0
3 years ago
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