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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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A jar of sweets contains 5 yellow sweets, 4 red sweets, 8 green sweets, 4 orange sweets and 3 white sweets. Ola chooses a sweet
Lorico [155]

Answer:

Probability to pick yellow or orange sweet = 3 / 8

Step-by-step explanation:

Given:

Number of yellow sweet = 5

Number of red sweet = 4

Number of green sweet = 8

Number of orange sweet = 4

Number of white sweet = 3

Find:

Probability to pick yellow or orange sweet

Computation:

Total number of sweets = 24 sweets

Probability to pick yellow = 5 / 24

Probability to pick orange = 4 / 24

Probability to pick yellow or orange sweet = 5/24 + 4 / 24

Probability to pick yellow or orange sweet = 9 / 24

Probability to pick yellow or orange sweet = 3 / 8

7 0
3 years ago
The American Heart Association is about to conduct an anti-smoking campaign and wants to know the fraction of Americans over 33
Tpy6a [65]

Answer:

The estimate for the proportion of Americans over 33 who smoke is 0.28.

Step-by-step explanation:

Proportion of Americans over 33 who smoke.

Number who smoke divided by the size of the sample.

In this question:

Sample of 1267.

913 don't smoke, so 1267 - 913 = 354 smoke. Then

p = \frac{354}{1267} = 0.28

The estimate for the proportion of Americans over 33 who smoke is 0.28.

7 0
3 years ago
For the x-values 1,2,3, and so on, the y-values of a function form an arithmetic sequence that decreases in value. What type of
amid [387]

Answer:

Decreasing linear

Step-by-step explanation:

its c

8 0
2 years ago
Does the system have one solution, no solution, or infinitely many? Use your substitution to justify your answer
Taya2010 [7]

Answer: It has one solution. The solution is (x,y) = (-4,-3)

Add up the equations doing so straight down

x + -x = 0x = 0 so the x terms go away

2y + 2y = 4y

-10 + (-2) = -12

We end up with 4y = -12 so y = -3 after you divide both sides by 4. Use this y value to find the value of x

x+2y = -10

x + 2(-3) = -10

x - 6 = -10

x = -10+6

x = -4

The single solution is (x,y) = (-4,-3)

As a check, plug this solution into each equation to see if you get a true statement or not. Let's do so with the first equation

x+2y = -10

-4 + 2(-3) = -10

-4 - 6 = -10

-10 = -10 .... true

and then the second equation

-x+2y = -2

-(-4) + 2(-3) = -2

4 - 6 = -2

-2 = -2 .... true

both equations are true, so the solution is confirmed

4 0
2 years ago
Counted a total of 40 white cars and yellow cars there were 9 times as many as white cars as yellow cars. how many white cars di
Law Incorporation [45]
Let W = number of white cars, and Y = number of yellow cars.
There were 9 times as many white cars as yellow cars. This means that the number of white cars was 9 times more than the number of yellow cars. This can be translated by the expression:
9Y = W
The person counted  40 cars in total:
W + Y = 40

So we get the system:
\left \{ {{W+Y=40} \atop {9Y=W}} \right.

In the first equation, we multiply by 9:
9W + 9Y = 360
In the second equation:
9Y= W
W-9Y = 0

Then we add the first with the second equation:
9W + 9Y + W - 9Y = 360
10 W = 360
W = 36

So He counted 36 white cars.

Hope this Helps! :)

8 0
3 years ago
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