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2 years ago

Explain e=mc(squared)

1 answer:

3 0

"Energy equals mass times the speed of light squared." On the most basic level, the equation says that energy and mass (matter) are interchangeable; they are different forms of the same thing. Under the right conditions, energy can become mass, and vice versa.

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I need to find both of the solutions to the equation 100+(n-2)^ = 149

rodikova [14]

Answer:

Step-by-step explanation:

hello :

100+(n-2)² = 149

100-100+(n-2)² = 149-100

(n-2)² = 49

(n-2)² - 49 =0 but 49=7²

(n-2)² - 7² =0 use identity : a²-b²=(a-b)(a+b)

(n-2-7)(n-2+7)=0

(n-9)(n+5)=0

n-9=0 or n+5=0

n=9 or n=-5

5 0

2 years ago

Can you evaluate (g ○ f)(0)? Explain why or why not.

chubhunter [2.5K]

Answer:

No you can't because just like multiplication, you cant divide anything by zero.

Step-by-step explanation:

You must evaluate the function f first. Division by 0 is undefined.

Therefore, The composition cannot be evaluated.

6 0

2 years ago

Read 2 more answers

A median of a triangle is a line segment joining a vertex to the midpoint of the opposite side. Find the lengths of the median o

nexus9112 [7]

Answer:

$5/2units\\$ .

$\sqrt{47/2}units \\$ .

$\sqrt{41/2}units\\$ .

Step-by-step explanation:

The given points are A(1,2,3), B(-2,0,5) and C(4,1,5). The triangle is represented in the attach file where the three possible median are length AE, BF, and CD. We determine the coordinate of point D,E and F using the midpoint equation which is for any point A(x,y,z) and point B(a,b,c), the midpoint D is determine by

$D=(\frac{x+a}{2},\frac{y+b}{2},\frac{z+c}{2})\\$ .

Hence going by the above formula we determine the coordinate of point D,E and F

$D=(\frac{-2+1}{2},\frac{0+2}{2},\frac{5+3}{2})\\$ .

$D=(\frac{-1}{2},1,4)\\$ .

point E

$E=(\frac{4-2}{2},\frac{1+0}{2},\frac{5+5}{2})\\$ .

$E=(1,\frac{1}{2},5)\\$ .

Point F

$F=(\frac{4+1}{2},\frac{1+2}{2},\frac{5+3}{2})\\$ .

$F=(\frac{5}{2},\frac{3}{2},4)\\$ .

To determine the length of each median line we use the formula for distance between two points which is express as

$AB=\sqrt{(y_{2}-y_{1} )^{2} +(x_{2}-x_{1} )^{2}+(z_{2}-z_{1} )^{2}} \\$ .

Using the above formula we determine the length of line AE,BF and CD.

$AE=\sqrt{(1-1 )^{2} +(1/2-2)^{2}+(5-3 )^{2}} \\$ .

$AE=\sqrt{0 +9/4+4} \\$ .

$AE=\sqrt{25/4} \\$ .

$AE=5/2units\\$ .

For point BF

$BF=\sqrt{(5/2+2 )^{2} +(3/2-0)^{2}+(4-5 )^{2}}\\$ .

$BF=\sqrt{81/4 +9/4+1} \\$ .

$BF=\sqrt{47/2} \\$ .

$BF=\sqrt{47/2}units \\$ .

For point CD

$CD=\sqrt{(-1/2-4 )^{2} +(1-1)^{2}+(4-5 )^{2}}\\$ .

$BF=\sqrt{81/4 +0+1} \\$ .

$BF=\sqrt{41/2} \\$ .

$BF=\sqrt{41/2}units\\$ .

7 0

2 years ago

Which number line represents the solution set for the inequality –4(x + 3) ≤ –2 – 2x?

Yuliya22 [10]

<span>–4(x + 3) ≤ –2 – 2x

>>.....-4x -12 </span>≤ -2 -2x

>> -12 +2 ≤ +2x

>> - 10 ≤ 2x

>> -5 ≤ x............>> x >= -5

This answer is not represented in the pictures you attached

The line starts in x = -5 and goes up to infinity

3 0

2 years ago

Read 2 more answers

A large grandfather clock strikes its bell once at 1:00, twice at 2:00, three times at 3:00, etcetera. what is the total number

erastovalidia [21]

There is a formula for adding consecutive integers.
sum = (n * (n+1)) / 2
for summing 1 through 12 it is
sum = (12 * 13) / 2 = 156/2 = 78
The clock goes through two "12-hour cycles" in a day, so the answer is 2 * 78 or 156 times.

8 0

2 years ago

Read 2 more answers