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4 years ago

Write an equation that finds m, given E and c

Mathematics

2 answers:

kogti [31]4 years ago

5 0

Answer:

Step-by-step explanation:

given E = mc² or

mc² = E ( isolate m by dividing both sides by c² )

m = $\frac{E}{c^{2} }$ → A

gregori [183]4 years ago

3 0

Step-by-step explanation:

given E = mc² or

mc² = E ( isolate m by dividing both sides by c² )

m = \frac{E}{c^{2} }
c
2

E

→ A

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If a radius of a circle is perpendicular to a chord, then it _____ that chord.

labwork [276]

The answer is b. There is a proof, but it is easily got by proving the other cases wrong.

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3 years ago

Read 2 more answers

Use the fundamental theorem of calculus to find the area of the region between the graph of the function x^5 + 8x^4 + 2x^2 + 5x

BaLLatris [955]

Answer:

The area of the region is 25,351 $units^2$ .

Step-by-step explanation:

The Fundamental Theorem of Calculus: if $f$ is a continuous function on $[a,b]$ , then

$\int_{a}^{b} f(x)dx = F(b) - F(a) = F(x) | {_a^b}$

where $F$ is an antiderivative of $f$ .

A function $F$ is an antiderivative of the function $f$ if

$F^{'}(x)=f(x)$

The theorem relates differential and integral calculus, and tells us how we can find the area under a curve using antidifferentiation.

To find the area of the region between the graph of the function $x^5 + 8x^4 + 2x^2 + 5x + 15$ and the x-axis on the interval [-6, 6] you must:

Apply the Fundamental Theorem of Calculus

$\int _{-6}^6(x^5+8x^4+2x^2+5x+15)dx$

$\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx\\\\\int _{-6}^6x^5dx+\int _{-6}^68x^4dx+\int _{-6}^62x^2dx+\int _{-6}^65xdx+\int _{-6}^615dx$

$\int _{-6}^6x^5dx=0\\\\\int _{-6}^68x^4dx=\frac{124416}{5}\\\\\int _{-6}^62x^2dx=288\\\\\int _{-6}^65xdx=0\\\\\int _{-6}^615dx=180\\\\0+\frac{124416}{5}+288+0+18\\\\\frac{126756}{5}\approx 25351.2$

3 0

3 years ago

Which expression is equivalent to x6 – 9?

Cerrena [4.2K]

Answer:

12-9

Step-by-step explanation:

If 'x' value is 2

Then x*6 - 9

Then x*6 = 12

Then x*6-9 = 12-9

5 0

3 years ago

[someone help] The speed of the object 7 seconds after it is dropped is ___m/sec

nadezda [96]

9514 1404 393

Answer:

68.6 m/s

Step-by-step explanation:

The speed at a given time is the derivative of the height at that time.

dh/dt = -9.8t

At t=7, the speed is ...

-9.8(7) = -68.6 . . . . . meters per second (downward)

The speed is 68.6 meters per second.

_____

Additional comment

Height is considered to be positive in the up direction, so velocity and acceleration are also positive in the up direction. The derivative of height will be the velocity. Its negative sign in this case indicates the object is moving in the downward direction. The speed is the magnitude (absolute value) of the velocity.

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3 years ago

What percent of 77.5 is 28.52 ?

Fantom [35]

I would say 36.8
But I am it sure

8 0

3 years ago