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3 years ago

Using E= mc2 , solve for m. Then, find the value of m if E = 725 and c= -5

Mathematics

2 answers:

Stella [2.4K]3 years ago

7 0

Divide by c^2, m=E/(c^2)
M=725/(-5)^2
M=725/25
M=29

kondor19780726 [428]3 years ago

7 0

$E=mc^2\ \ \ \ |:c^2\\\\m=\frac{E}{c^2}\\\\m=\frac{725}{(-5)^2}\\\\m=\frac{725}{25}\\\\\boxed{m=29}$

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A pole, 4m high, stands, vertically, on

Lostsunrise [7]

Answer:

Length of the shadow of the pole is 6.93 metres

Step-by-step explanation:

Given:

Height of the pole = 4 m

The angle sun makes with the horizontal = 30 degrees

To Find:

Length of the shadow of the pole = ?

Solution:

The tangent ratio is the value received when the length of the side opposite of angle theta is divided by the length of the side adjacent to angle theta

Let x be the length of the shadow

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$tan {\theta} = \frac{opposite}{adjacent}$

On substituting the values,

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$x = \frac{4}{tan ({30^{o})}}$

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3 years ago

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CaHeK987 [17]

Answer:

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Step-by-step explanation:

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3 0

3 years ago

Solve the inequality for x 3^(6x+18)<27^(3x)

Lera25 [3.4K]

Answer:

$\displaystyle x > 6$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Terms/Coefficients
Factoring

Algebra II

Exponential Rule [Powering]: $\displaystyle (b^m)^n = b^{m \cdot n}$
Solving exponential equations

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle 3^{6x + 18} < 27^{3x}$

Step 2: Solve for x

Rewrite: $\displaystyle 3^{6x + 18} < 3^{3(3x)}$
Set: $\displaystyle 6x + 18 < 3(3x)$
Factor: $\displaystyle 3(2x + 6) < 3(3x)$
[Division Property of Equality] Divide 3 on both sides: $\displaystyle 2x + 6 < 3x$
[Subtraction Property of Equality] Subtract 3x on both sides: $\displaystyle -x + 6 < 0$
[Subtraction Property of Equality] Subtract 6 on both sides: $\displaystyle -x < -6$
[Division Property of Equality] Divide -1 on both sides: $\displaystyle x > 6$