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3 years ago

I need help! And I need a reasoning as well

Mathematics

2 answers:

Lerok [7]3 years ago

7 0

Answer:

A & D

Step-by-step explanation:

3^5 = 243

The only other equations that also equal 243 are A & D.

You can also break the exponent up.

(Ex: The exponent is 5. You can split it by having 1 & 4 or 2 & 3)

(Ex continued: The number 3 must be the base number though.)

Sindrei [870]3 years ago

6 0

Answer:

A) 3²·3³

E) 3^4·3^1

Step-by-step explanation:

When multiplying numbers with exponents, keep the base the same and add the exponents.

So A and E would equal 3 to the fifth power.

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A homogeneous rectangular lamina has constant area density ρ. Find the moment of inertia of the lamina about one corner

frozen [14]

Answer:

$I_{corner} =\frac{\rho _{ab}}{3}(a^2+b^2)$

Step-by-step explanation:

By applying the concept of calculus;

the moment of inertia of the lamina about one corner $I_{corner}$ is:

$I_{corner} = \int\limits \int\limits_R (x^2+y^2) \rho d A \\ \\ I_{corner} = \int\limits^a_0\int\limits^b_0 \rho(x^2+y^2) dy dx$

where :

(a and b are the length and the breath of the rectangle respectively )

$I_{corner} = \rho \int\limits^a_0 {x^2y}+ \frac{y^3}{3} |^ {^ b}_{_0} \, dx$

$I_{corner} = \rho \int\limits^a_0 (bx^2 + \frac{b^3}{3})dx$

$I_{corner} = \rho [\frac{bx^3}{3}+ \frac{b^3x}{3}]^ {^ a} _{_0}$

$I_{corner} = \rho [\frac{a^3b}{3}+ \frac{ab^3}{3}]$

$I_{corner} =\frac{\rho _{ab}}{3}(a^2+b^2)$

Thus; the moment of inertia of the lamina about one corner is $I_{corner} =\frac{\rho _{ab}}{3}(a^2+b^2)$

7 0

3 years ago

Ella completed the following work to test the equivalence of two express

murzikaleks [220]

Answer:

The expressions are not equivalent because Ella did not know that you can’t use substitution to test for equivalence.

Step-by-step explanation:

<u>Equivalent algebraic expressions</u> are those expressions which on simplification give the same resulting expression.

Two algebraic expressions are said to be <u>equivalent</u> if their values obtained by substituting any values of the variables are same.

Two expressions 3f+2.6 and 2f+2.6 are not equivalent, because when f=1,

$3f+2.6=3\cdot 1+2.6=3+2.6=5.6\\ \\2f+2.6=2\cdot 1+2.6=2+2.6=4.6\\ \\5.6\neq 4.6$

Method of substitution can only help her to decide the expresssions are not equivalent, but if she wants to prove the expressions are equivalent, she must prove it for all values of f.

$3f+2.6=2f+2.6\\ \\3f=2f\\ \\3f-2f=0\\ \\f=0$

This is true only when f=0.

Hence,

The expressions are not equivalent because Ella did not know that you can’t use substitution to test for equivalence.

5 0

3 years ago

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A red die is tossed and then a green die is tossed what is the probability that the red die shows an even number or the green di

Sergeeva-Olga [200]

The probability for the red die is 50% as with the green die.

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3 years ago

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The blue segment below is a radius of 00. What is the length of the diameter

dalvyx [7]

D. 16.8 units

A radius is half of the diameter, so to get the answer all you need to do is multiply the length of the given radius by 2.
8.4x2= 16.8

7 0

4 years ago

Please help give me the brainliest answer

motikmotik

Answer:

± $2\sqrt{6}i$

Step-by-step explanation:

±√24

±√-1 √24

±√24 i

±2√6 i

8 0

3 years ago